%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP123-8.004 : 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 : n006.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 12:35:43 PM UTC 2026
% Result : Satisfiable 0.21s 0.71s
% Output : Saturation 0.21s
% 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] :
( product1(X,Y,e_4)
| product1(X,Y,e_3)
| product1(X,Y,e_2)
| product1(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)
| ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X] : product1(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X,Y] :
( product2(X,Y,e_4)
| product2(X,Y,e_3)
| product2(X,Y,e_2)
| product2(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [X] : product2(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
! [X,Y,Z1,Z2] :
( product2(Z2,X,Y)
| ~ product1(Z1,Y,Z2)
| ~ product1(X,Y,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,plain,
next(e_0,e_1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f50,plain,
next(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f52,plain,
next(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f53,plain,
greater(e_1,e_0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f54,plain,
greater(e_2,e_0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f55,plain,
greater(e_3,e_0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f56,plain,
greater(e_4,e_0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f57,plain,
greater(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f58,plain,
greater(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f59,plain,
greater(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f60,plain,
greater(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f61,plain,
greater(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f62,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f63,plain,
! [Y,Z] :
( equalish(Y,Z)
| ! [X] :
( ~ cycle(X,Z)
| ~ cycle(X,Y) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f64,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ cycle(X0,X2)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,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(f66,plain,
cycle(e_4,e_0),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f67,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(f68,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)],[f67]) ).
fof(f69,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(f70,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)],[f69]) ).
fof(f71,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f72,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(f73,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)],[f72]) ).
fof(f74,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f75,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f76,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f77,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f78,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f79,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f80,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f81,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f82,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f83,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f84,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f85,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f86,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f87,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f88,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f89,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f90,plain,
! [X0,X1] :
( product1(X0,X1,e_4)
| product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f91,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product1(X0,X1,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f97,plain,
! [X0] : product1(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f98,plain,
! [X0,X1] :
( product2(X0,X1,e_4)
| product2(X0,X1,e_3)
| product2(X0,X1,e_2)
| product2(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f99,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f101,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product2(X0,X3,X2)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f103,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product2(X3,X1,X2)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f105,plain,
! [X0] : product2(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f106,plain,
! [X,Y,Z2] :
( product2(Z2,X,Y)
| ! [Z1] :
( ~ product1(Z1,Y,Z2)
| ~ product1(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( product2(X3,X0,X1)
| ~ product1(X2,X1,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f108,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product1(X0,X1,X0) ),
inference(resolution,[status(thm)],[f97,f94]) ).
fof(f109,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product1(X0,X0,X1) ),
inference(resolution,[status(thm)],[f97,f92]) ).
fof(f110,plain,
! [X0,X1] :
( product2(X1,X0,X0)
| ~ product1(X0,X0,X1) ),
inference(resolution,[status(thm)],[f97,f107]) ).
fof(f111,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product1(X0,X1,X1) ),
inference(resolution,[status(thm)],[f96,f97]) ).
fof(f112,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product2(X0,X0,X1) ),
inference(resolution,[status(thm)],[f100,f105]) ).
fof(f113,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product2(X0,X1,X0) ),
inference(resolution,[status(thm)],[f102,f105]) ).
fof(f114,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product2(X0,X1,X1) ),
inference(resolution,[status(thm)],[f104,f105]) ).
fof(f115,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)],[f65,f76]) ).
fof(f116,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)],[f65,f75]) ).
fof(f117,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)],[f65,f74]) ).
fof(f118,definition,
( sQ0_spl
<=> cycle(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ0_spl
| cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f120,plain,
( sQ0_spl
| ~ cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ1_spl
<=> cycle(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ1_spl
| cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f123,plain,
( sQ1_spl
| ~ cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,definition,
( sQ2_spl
<=> cycle(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ2_spl
| cycle(e_3,e_2) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( sQ2_spl
| ~ cycle(e_3,e_2) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,definition,
( sQ3_spl
<=> cycle(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ3_spl
| cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( sQ3_spl
| ~ cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f115,f118,f121,f124,f127]) ).
fof(f131,definition,
( sQ4_spl
<=> cycle(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( ~ sQ4_spl
| cycle(e_2,e_0) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f133,plain,
( sQ4_spl
| ~ cycle(e_2,e_0) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,definition,
( sQ5_spl
<=> cycle(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( ~ sQ5_spl
| cycle(e_2,e_1) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f136,plain,
( sQ5_spl
| ~ cycle(e_2,e_1) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,definition,
( sQ6_spl
<=> cycle(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ6_spl
| cycle(e_2,e_2) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f139,plain,
( sQ6_spl
| ~ cycle(e_2,e_2) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ7_spl
<=> cycle(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ7_spl
| cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f142,plain,
( sQ7_spl
| ~ cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f116,f131,f134,f137,f140]) ).
fof(f144,definition,
( sQ8_spl
<=> cycle(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ8_spl
| cycle(e_1,e_0) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f146,plain,
( sQ8_spl
| ~ cycle(e_1,e_0) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,definition,
( sQ9_spl
<=> cycle(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( ~ sQ9_spl
| cycle(e_1,e_1) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f149,plain,
( sQ9_spl
| ~ cycle(e_1,e_1) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,definition,
( sQ10_spl
<=> cycle(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ10_spl
| cycle(e_1,e_2) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f152,plain,
( sQ10_spl
| ~ cycle(e_1,e_2) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,definition,
( sQ11_spl
<=> cycle(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ11_spl
| cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f155,plain,
( sQ11_spl
| ~ cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f117,f144,f147,f150,f153]) ).
fof(f157,plain,
! [X0] :
( product1(e_3,X0,e_4)
| product1(e_3,X0,e_3)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f90,f76]) ).
fof(f158,plain,
! [X0] :
( product1(e_2,X0,e_4)
| product1(e_2,X0,e_3)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f90,f75]) ).
fof(f159,plain,
! [X0] :
( product1(e_1,X0,e_4)
| product1(e_1,X0,e_3)
| product1(e_1,X0,e_2)
| product1(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f90,f74]) ).
fof(f160,plain,
! [X0] :
( product2(e_3,X0,e_4)
| product2(e_3,X0,e_3)
| product2(e_3,X0,e_2)
| product2(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f98,f76]) ).
fof(f161,plain,
! [X0] :
( product2(e_2,X0,e_4)
| product2(e_2,X0,e_3)
| product2(e_2,X0,e_2)
| product2(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f98,f75]) ).
fof(f162,plain,
! [X0] :
( product2(e_1,X0,e_4)
| product2(e_1,X0,e_3)
| product2(e_1,X0,e_2)
| product2(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f98,f74]) ).
fof(f163,plain,
( product1(e_3,e_3,e_4)
| product1(e_3,e_3,e_3)
| product1(e_3,e_3,e_2)
| product1(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f157,f76]) ).
fof(f164,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f157,f75]) ).
fof(f165,plain,
( product1(e_3,e_1,e_4)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f157,f74]) ).
fof(f166,definition,
( sQ12_spl
<=> product1(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ12_spl
| product1(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f168,plain,
( sQ12_spl
| ~ product1(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,definition,
( sQ13_spl
<=> product1(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ13_spl
| product1(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( sQ13_spl
| ~ product1(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,definition,
( sQ14_spl
<=> product1(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f175,definition,
( sQ15_spl
<=> product1(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ15_spl
| product1(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f177,plain,
( sQ15_spl
| ~ product1(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f163,f166,f169,f172,f175]) ).
fof(f179,definition,
( sQ16_spl
<=> product1(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ16_spl
| product1(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f181,plain,
( sQ16_spl
| ~ product1(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,definition,
( sQ17_spl
<=> product1(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ17_spl
| product1(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f184,plain,
( sQ17_spl
| ~ product1(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,definition,
( sQ18_spl
<=> product1(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ18_spl
| product1(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f187,plain,
( sQ18_spl
| ~ product1(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,definition,
( sQ19_spl
<=> product1(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ19_spl
| product1(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f190,plain,
( sQ19_spl
| ~ product1(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f164,f179,f182,f185,f188]) ).
fof(f192,definition,
( sQ20_spl
<=> product1(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ20_spl
| product1(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f194,plain,
( sQ20_spl
| ~ product1(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,definition,
( sQ21_spl
<=> product1(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( ~ sQ21_spl
| product1(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,definition,
( sQ22_spl
<=> product1(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ22_spl
| product1(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f200,plain,
( sQ22_spl
| ~ product1(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,definition,
( sQ23_spl
<=> product1(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ23_spl
| product1(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f203,plain,
( sQ23_spl
| ~ product1(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f165,f192,f195,f198,f201]) ).
fof(f205,plain,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f158,f76]) ).
fof(f206,plain,
( product1(e_2,e_2,e_4)
| product1(e_2,e_2,e_3)
| product1(e_2,e_2,e_2)
| product1(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f158,f75]) ).
fof(f207,plain,
( product1(e_2,e_1,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f158,f74]) ).
fof(f208,definition,
( sQ24_spl
<=> product1(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ24_spl
| product1(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,definition,
( sQ25_spl
<=> product1(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ25_spl
| product1(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f213,plain,
( sQ25_spl
| ~ product1(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
( sQ26_spl
<=> product1(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ26_spl
| product1(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f216,plain,
( sQ26_spl
| ~ product1(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,definition,
( sQ27_spl
<=> product1(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ27_spl
| product1(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f219,plain,
( sQ27_spl
| ~ product1(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f205,f208,f211,f214,f217]) ).
fof(f221,definition,
( sQ28_spl
<=> product1(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( ~ sQ28_spl
| product1(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f223,plain,
( sQ28_spl
| ~ product1(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,definition,
( sQ29_spl
<=> product1(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f227,definition,
( sQ30_spl
<=> product1(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ30_spl
| product1(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f229,plain,
( sQ30_spl
| ~ product1(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ31_spl
<=> product1(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ31_spl
| product1(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f232,plain,
( sQ31_spl
| ~ product1(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f206,f221,f224,f227,f230]) ).
fof(f234,definition,
( sQ32_spl
<=> product1(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ32_spl
| product1(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f236,plain,
( sQ32_spl
| ~ product1(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,definition,
( sQ33_spl
<=> product1(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( ~ sQ33_spl
| product1(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f239,plain,
( sQ33_spl
| ~ product1(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,definition,
( sQ34_spl
<=> product1(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ34_spl
| product1(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f242,plain,
( sQ34_spl
| ~ product1(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,definition,
( sQ35_spl
<=> product1(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ35_spl
| product1(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f245,plain,
( sQ35_spl
| ~ product1(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f207,f234,f237,f240,f243]) ).
fof(f247,plain,
( product1(e_1,e_3,e_4)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f159,f76]) ).
fof(f248,plain,
( product1(e_1,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f159,f75]) ).
fof(f249,plain,
( product1(e_1,e_1,e_4)
| product1(e_1,e_1,e_3)
| product1(e_1,e_1,e_2)
| product1(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f159,f74]) ).
fof(f250,definition,
( sQ36_spl
<=> product1(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ36_spl
| product1(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f252,plain,
( sQ36_spl
| ~ product1(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f253,definition,
( sQ37_spl
<=> product1(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( ~ sQ37_spl
| product1(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f255,plain,
( sQ37_spl
| ~ product1(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,definition,
( sQ38_spl
<=> product1(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ38_spl
| product1(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f258,plain,
( sQ38_spl
| ~ product1(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,definition,
( sQ39_spl
<=> product1(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ39_spl
| product1(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f261,plain,
( sQ39_spl
| ~ product1(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f247,f250,f253,f256,f259]) ).
fof(f263,definition,
( sQ40_spl
<=> product1(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ40_spl
| product1(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f265,plain,
( sQ40_spl
| ~ product1(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,definition,
( sQ41_spl
<=> product1(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ41_spl
| product1(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f268,plain,
( sQ41_spl
| ~ product1(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,definition,
( sQ42_spl
<=> product1(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ42_spl
| product1(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f271,plain,
( sQ42_spl
| ~ product1(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,definition,
( sQ43_spl
<=> product1(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ43_spl
| product1(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( sQ43_spl
| ~ product1(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f248,f263,f266,f269,f272]) ).
fof(f276,definition,
( sQ44_spl
<=> product1(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f279,definition,
( sQ45_spl
<=> product1(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ45_spl
| product1(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( sQ45_spl
| ~ product1(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ46_spl
<=> product1(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ46_spl
| product1(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f284,plain,
( sQ46_spl
| ~ product1(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,definition,
( sQ47_spl
<=> product1(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ47_spl
| product1(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f287,plain,
( sQ47_spl
| ~ product1(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f249,f276,f279,f282,f285]) ).
fof(f289,plain,
( product2(e_3,e_3,e_4)
| product2(e_3,e_3,e_3)
| product2(e_3,e_3,e_2)
| product2(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f160,f76]) ).
fof(f290,plain,
( product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f160,f75]) ).
fof(f291,plain,
( product2(e_3,e_1,e_4)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f160,f74]) ).
fof(f292,definition,
( sQ48_spl
<=> product2(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ48_spl
| product2(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f294,plain,
( sQ48_spl
| ~ product2(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,definition,
( sQ49_spl
<=> product2(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ49_spl
| product2(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f297,plain,
( sQ49_spl
| ~ product2(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,definition,
( sQ50_spl
<=> product2(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f301,definition,
( sQ51_spl
<=> product2(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ51_spl
| product2(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f303,plain,
( sQ51_spl
| ~ product2(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f289,f292,f295,f298,f301]) ).
fof(f305,definition,
( sQ52_spl
<=> product2(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ52_spl
| product2(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f307,plain,
( sQ52_spl
| ~ product2(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,definition,
( sQ53_spl
<=> product2(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ53_spl
| product2(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sQ53_spl
| ~ product2(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,definition,
( sQ54_spl
<=> product2(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ54_spl
| product2(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f313,plain,
( sQ54_spl
| ~ product2(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,definition,
( sQ55_spl
<=> product2(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ55_spl
| product2(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f316,plain,
( sQ55_spl
| ~ product2(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f290,f305,f308,f311,f314]) ).
fof(f318,definition,
( sQ56_spl
<=> product2(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ56_spl
| product2(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f320,plain,
( sQ56_spl
| ~ product2(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,definition,
( sQ57_spl
<=> product2(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ57_spl
| product2(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f323,plain,
( sQ57_spl
| ~ product2(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,definition,
( sQ58_spl
<=> product2(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ58_spl
| product2(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f326,plain,
( sQ58_spl
| ~ product2(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,definition,
( sQ59_spl
<=> product2(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ59_spl
| product2(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f329,plain,
( sQ59_spl
| ~ product2(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f291,f318,f321,f324,f327]) ).
fof(f331,plain,
( product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f161,f76]) ).
fof(f332,plain,
( product2(e_2,e_2,e_4)
| product2(e_2,e_2,e_3)
| product2(e_2,e_2,e_2)
| product2(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f161,f75]) ).
fof(f333,plain,
( product2(e_2,e_1,e_4)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f161,f74]) ).
fof(f334,definition,
( sQ60_spl
<=> product2(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ60_spl
| product2(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f336,plain,
( sQ60_spl
| ~ product2(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,definition,
( sQ61_spl
<=> product2(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( ~ sQ61_spl
| product2(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f339,plain,
( sQ61_spl
| ~ product2(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,definition,
( sQ62_spl
<=> product2(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( ~ sQ62_spl
| product2(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f342,plain,
( sQ62_spl
| ~ product2(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,definition,
( sQ63_spl
<=> product2(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ63_spl
| product2(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f345,plain,
( sQ63_spl
| ~ product2(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f331,f334,f337,f340,f343]) ).
fof(f347,definition,
( sQ64_spl
<=> product2(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( ~ sQ64_spl
| product2(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f349,plain,
( sQ64_spl
| ~ product2(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,definition,
( sQ65_spl
<=> product2(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f353,definition,
( sQ66_spl
<=> product2(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( ~ sQ66_spl
| product2(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f355,plain,
( sQ66_spl
| ~ product2(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,definition,
( sQ67_spl
<=> product2(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ67_spl
| product2(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f358,plain,
( sQ67_spl
| ~ product2(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f332,f347,f350,f353,f356]) ).
fof(f360,definition,
( sQ68_spl
<=> product2(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ68_spl
| product2(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f362,plain,
( sQ68_spl
| ~ product2(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,definition,
( sQ69_spl
<=> product2(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( ~ sQ69_spl
| product2(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f365,plain,
( sQ69_spl
| ~ product2(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,definition,
( sQ70_spl
<=> product2(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ70_spl
| product2(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f368,plain,
( sQ70_spl
| ~ product2(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
( sQ71_spl
<=> product2(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ71_spl
| product2(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f371,plain,
( sQ71_spl
| ~ product2(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f333,f360,f363,f366,f369]) ).
fof(f373,plain,
( product2(e_1,e_3,e_4)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f162,f76]) ).
fof(f374,plain,
( product2(e_1,e_2,e_4)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f162,f75]) ).
fof(f375,plain,
( product2(e_1,e_1,e_4)
| product2(e_1,e_1,e_3)
| product2(e_1,e_1,e_2)
| product2(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f162,f74]) ).
fof(f376,definition,
( sQ72_spl
<=> product2(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ72_spl
| product2(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f378,plain,
( sQ72_spl
| ~ product2(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,definition,
( sQ73_spl
<=> product2(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ73_spl
| product2(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ74_spl
<=> product2(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ74_spl
| product2(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f384,plain,
( sQ74_spl
| ~ product2(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ75_spl
<=> product2(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ75_spl
| product2(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f387,plain,
( sQ75_spl
| ~ product2(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f373,f376,f379,f382,f385]) ).
fof(f389,definition,
( sQ76_spl
<=> product2(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ76_spl
| product2(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f391,plain,
( sQ76_spl
| ~ product2(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,definition,
( sQ77_spl
<=> product2(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ77_spl
| product2(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f394,plain,
( sQ77_spl
| ~ product2(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ78_spl
<=> product2(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ78_spl
| product2(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f397,plain,
( sQ78_spl
| ~ product2(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ79_spl
<=> product2(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ79_spl
| product2(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f400,plain,
( sQ79_spl
| ~ product2(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f374,f389,f392,f395,f398]) ).
fof(f402,definition,
( sQ80_spl
<=> product2(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f405,definition,
( sQ81_spl
<=> product2(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ81_spl
| product2(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ81_spl
| ~ product2(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ82_spl
<=> product2(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ82_spl
| product2(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f410,plain,
( sQ82_spl
| ~ product2(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ83_spl
<=> product2(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ83_spl
| product2(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f413,plain,
( sQ83_spl
| ~ product2(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,plain,
( sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f375,f402,f405,f408,f411]) ).
fof(f416,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f108,f97]) ).
fof(f422,plain,
( product2(e_1,e_4,e_4)
| product2(e_1,e_4,e_3)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f77,f162]) ).
fof(f423,plain,
( product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f77,f161]) ).
fof(f424,plain,
( product2(e_3,e_4,e_4)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| product2(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f77,f160]) ).
fof(f425,plain,
( product1(e_1,e_4,e_4)
| product1(e_1,e_4,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f77,f159]) ).
fof(f426,plain,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f77,f158]) ).
fof(f427,plain,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f77,f157]) ).
fof(f428,plain,
! [X0] :
( product2(e_4,X0,e_4)
| product2(e_4,X0,e_3)
| product2(e_4,X0,e_2)
| product2(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f77,f98]) ).
fof(f429,plain,
! [X0] :
( product1(e_4,X0,e_4)
| product1(e_4,X0,e_3)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f77,f90]) ).
fof(f430,plain,
( cycle(e_4,e_3)
| cycle(e_4,e_2)
| cycle(e_4,e_1)
| cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f77,f65]) ).
fof(f431,definition,
( sQ84_spl
<=> product2(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ84_spl
| product2(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f433,plain,
( sQ84_spl
| ~ product2(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,definition,
( sQ85_spl
<=> product2(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ85_spl
| product2(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f436,plain,
( sQ85_spl
| ~ product2(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ86_spl
<=> product2(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ86_spl
| product2(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f439,plain,
( sQ86_spl
| ~ product2(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ87_spl
<=> product2(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ87_spl
| product2(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f442,plain,
( sQ87_spl
| ~ product2(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f422,f431,f434,f437,f440]) ).
fof(f444,definition,
( sQ88_spl
<=> product2(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( ~ sQ88_spl
| product2(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f446,plain,
( sQ88_spl
| ~ product2(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ89_spl
<=> product2(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ89_spl
| product2(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f449,plain,
( sQ89_spl
| ~ product2(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ90_spl
<=> product2(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ90_spl
| product2(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f452,plain,
( sQ90_spl
| ~ product2(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ91_spl
<=> product2(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ91_spl
| product2(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f455,plain,
( sQ91_spl
| ~ product2(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( sQ91_spl
| sQ90_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f423,f444,f447,f450,f453]) ).
fof(f457,definition,
( sQ92_spl
<=> product2(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ92_spl
| product2(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f459,plain,
( sQ92_spl
| ~ product2(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,definition,
( sQ93_spl
<=> product2(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( ~ sQ93_spl
| product2(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f462,plain,
( sQ93_spl
| ~ product2(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,definition,
( sQ94_spl
<=> product2(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ94_spl
| product2(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f465,plain,
( sQ94_spl
| ~ product2(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,definition,
( sQ95_spl
<=> product2(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( ~ sQ95_spl
| product2(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f468,plain,
( sQ95_spl
| ~ product2(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,plain,
( sQ95_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f424,f457,f460,f463,f466]) ).
fof(f470,definition,
( sQ96_spl
<=> product1(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ96_spl
| product1(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f472,plain,
( sQ96_spl
| ~ product1(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,definition,
( sQ97_spl
<=> product1(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ97_spl
| product1(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f475,plain,
( sQ97_spl
| ~ product1(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,definition,
( sQ98_spl
<=> product1(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ98_spl
| product1(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f478,plain,
( sQ98_spl
| ~ product1(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,definition,
( sQ99_spl
<=> product1(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ99_spl
| product1(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f481,plain,
( sQ99_spl
| ~ product1(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f425,f470,f473,f476,f479]) ).
fof(f483,definition,
( sQ100_spl
<=> product1(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ100_spl
| product1(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f485,plain,
( sQ100_spl
| ~ product1(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,definition,
( sQ101_spl
<=> product1(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ101_spl
| product1(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f488,plain,
( sQ101_spl
| ~ product1(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,definition,
( sQ102_spl
<=> product1(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ102_spl
| product1(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f491,plain,
( sQ102_spl
| ~ product1(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,definition,
( sQ103_spl
<=> product1(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ103_spl
| product1(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f494,plain,
( sQ103_spl
| ~ product1(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,plain,
( sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f426,f483,f486,f489,f492]) ).
fof(f496,definition,
( sQ104_spl
<=> product1(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( ~ sQ104_spl
| product1(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f498,plain,
( sQ104_spl
| ~ product1(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
( sQ105_spl
<=> product1(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ105_spl
| product1(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ105_spl
| ~ product1(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,definition,
( sQ106_spl
<=> product1(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ106_spl
| product1(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f504,plain,
( sQ106_spl
| ~ product1(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
( sQ107_spl
<=> product1(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f506,plain,
( ~ sQ107_spl
| product1(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f507,plain,
( sQ107_spl
| ~ product1(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( sQ107_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f427,f496,f499,f502,f505]) ).
fof(f509,definition,
( sQ108_spl
<=> cycle(e_4,e_0) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f512,definition,
( sQ109_spl
<=> cycle(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ109_spl
| cycle(e_4,e_1) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f514,plain,
( sQ109_spl
| ~ cycle(e_4,e_1) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ110_spl
<=> cycle(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ110_spl
| cycle(e_4,e_2) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( sQ110_spl
| ~ cycle(e_4,e_2) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ111_spl
<=> cycle(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ111_spl
| cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( sQ111_spl
| ~ cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,plain,
( sQ111_spl
| sQ110_spl
| sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f430,f509,f512,f515,f518]) ).
fof(f522,plain,
( product2(e_4,e_4,e_4)
| product2(e_4,e_4,e_3)
| product2(e_4,e_4,e_2)
| product2(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f428,f77]) ).
fof(f523,plain,
( product2(e_4,e_3,e_4)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f428,f76]) ).
fof(f524,plain,
( product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f428,f75]) ).
fof(f525,plain,
( product2(e_4,e_1,e_4)
| product2(e_4,e_1,e_3)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f428,f74]) ).
fof(f526,definition,
( sQ112_spl
<=> product2(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ112_spl
| product2(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f528,plain,
( sQ112_spl
| ~ product2(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,definition,
( sQ113_spl
<=> product2(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ113_spl
| product2(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f531,plain,
( sQ113_spl
| ~ product2(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,definition,
( sQ114_spl
<=> product2(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ114_spl
| product2(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f534,plain,
( sQ114_spl
| ~ product2(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,definition,
( sQ115_spl
<=> product2(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( sQ115_spl
| sQ114_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f522,f526,f529,f532,f535]) ).
fof(f539,definition,
( sQ116_spl
<=> product2(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ116_spl
| product2(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,definition,
( sQ117_spl
<=> product2(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ117_spl
| product2(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f544,plain,
( sQ117_spl
| ~ product2(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ118_spl
<=> product2(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ118_spl
| product2(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f547,plain,
( sQ118_spl
| ~ product2(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,definition,
( sQ119_spl
<=> product2(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( ~ sQ119_spl
| product2(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f550,plain,
( sQ119_spl
| ~ product2(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f523,f539,f542,f545,f548]) ).
fof(f552,definition,
( sQ120_spl
<=> product2(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f553,plain,
( ~ sQ120_spl
| product2(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f554,plain,
( sQ120_spl
| ~ product2(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,definition,
( sQ121_spl
<=> product2(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ121_spl
| product2(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f557,plain,
( sQ121_spl
| ~ product2(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,definition,
( sQ122_spl
<=> product2(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f559,plain,
( ~ sQ122_spl
| product2(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,definition,
( sQ123_spl
<=> product2(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( ~ sQ123_spl
| product2(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f563,plain,
( sQ123_spl
| ~ product2(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,plain,
( sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f524,f552,f555,f558,f561]) ).
fof(f565,definition,
( sQ124_spl
<=> product2(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f566,plain,
( ~ sQ124_spl
| product2(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f567,plain,
( sQ124_spl
| ~ product2(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,definition,
( sQ125_spl
<=> product2(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f569,plain,
( ~ sQ125_spl
| product2(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f570,plain,
( sQ125_spl
| ~ product2(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,definition,
( sQ126_spl
<=> product2(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( ~ sQ126_spl
| product2(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f573,plain,
( sQ126_spl
| ~ product2(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,definition,
( sQ127_spl
<=> product2(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f575,plain,
( ~ sQ127_spl
| product2(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f576,plain,
( sQ127_spl
| ~ product2(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,plain,
( sQ127_spl
| sQ126_spl
| sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f525,f565,f568,f571,f574]) ).
fof(f578,plain,
( product1(e_4,e_4,e_4)
| product1(e_4,e_4,e_3)
| product1(e_4,e_4,e_2)
| product1(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f429,f77]) ).
fof(f579,plain,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f429,f76]) ).
fof(f580,plain,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f429,f75]) ).
fof(f581,plain,
( product1(e_4,e_1,e_4)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f429,f74]) ).
fof(f582,definition,
( sQ128_spl
<=> product1(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f583,plain,
( ~ sQ128_spl
| product1(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f584,plain,
( sQ128_spl
| ~ product1(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,definition,
( sQ129_spl
<=> product1(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( ~ sQ129_spl
| product1(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f587,plain,
( sQ129_spl
| ~ product1(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,definition,
( sQ130_spl
<=> product1(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ130_spl
| product1(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f590,plain,
( sQ130_spl
| ~ product1(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,definition,
( sQ131_spl
<=> product1(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( sQ131_spl
| sQ130_spl
| sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f578,f582,f585,f588,f591]) ).
fof(f595,definition,
( sQ132_spl
<=> product1(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f596,plain,
( ~ sQ132_spl
| product1(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f597,plain,
( sQ132_spl
| ~ product1(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,definition,
( sQ133_spl
<=> product1(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f599,plain,
( ~ sQ133_spl
| product1(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f600,plain,
( sQ133_spl
| ~ product1(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,definition,
( sQ134_spl
<=> product1(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ134_spl
| product1(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f603,plain,
( sQ134_spl
| ~ product1(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,definition,
( sQ135_spl
<=> product1(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f605,plain,
( ~ sQ135_spl
| product1(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f606,plain,
( sQ135_spl
| ~ product1(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f604]) ).
fof(f607,plain,
( sQ135_spl
| sQ134_spl
| sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f579,f595,f598,f601,f604]) ).
fof(f608,definition,
( sQ136_spl
<=> product1(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f609,plain,
( ~ sQ136_spl
| product1(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f610,plain,
( sQ136_spl
| ~ product1(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,definition,
( sQ137_spl
<=> product1(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ137_spl
| product1(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f613,plain,
( sQ137_spl
| ~ product1(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,definition,
( sQ138_spl
<=> product1(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ138_spl
| product1(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f616,plain,
( sQ138_spl
| ~ product1(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,definition,
( sQ139_spl
<=> product1(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f618,plain,
( ~ sQ139_spl
| product1(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f619,plain,
( sQ139_spl
| ~ product1(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,plain,
( sQ139_spl
| sQ138_spl
| sQ137_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f580,f608,f611,f614,f617]) ).
fof(f621,definition,
( sQ140_spl
<=> product1(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( ~ sQ140_spl
| product1(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f623,plain,
( sQ140_spl
| ~ product1(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,definition,
( sQ141_spl
<=> product1(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f625,plain,
( ~ sQ141_spl
| product1(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f626,plain,
( sQ141_spl
| ~ product1(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,definition,
( sQ142_spl
<=> product1(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( ~ sQ142_spl
| product1(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f629,plain,
( sQ142_spl
| ~ product1(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,definition,
( sQ143_spl
<=> product1(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( ~ sQ143_spl
| product1(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f632,plain,
( sQ143_spl
| ~ product1(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,plain,
( sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f581,f621,f624,f627,f630]) ).
fof(f634,plain,
! [X0] :
( equalish(e_0,X0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f66,f64]) ).
fof(f635,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)],[f68,f66]) ).
fof(f636,definition,
! [X0,X1,X2] :
( sQ144_spl
<=> ( equalish(e_0,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f637,plain,
! [X0,X1,X2] :
( ~ sQ144_spl
| equalish(e_0,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,definition,
( sQ145_spl
<=> greater(e_0,e_0) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( sQ145_spl
| ~ greater(e_0,e_0) ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,plain,
( ~ sQ145_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f635,f636,f639]) ).
fof(f643,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)],[f70,f66]) ).
fof(f644,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)],[f73,f66]) ).
fof(f645,definition,
! [X0,X1] :
( sQ146_spl
<=> ( equalish(X0,X1)
| ~ next(e_4,X1)
| ~ product(e_4,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f646,plain,
! [X0,X1] :
( ~ sQ146_spl
| equalish(X0,X1)
| ~ next(e_4,X1)
| ~ product(e_4,e_1,X0) ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,plain,
( ~ sQ145_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f644,f645,f639]) ).
fof(f649,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)],[f154,f73]) ).
fof(f650,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)],[f154,f70]) ).
fof(f651,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)],[f154,f68]) ).
fof(f652,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f154,f64]) ).
fof(f653,definition,
! [X0,X1] :
( sQ147_spl
<=> ( equalish(X0,X1)
| ~ next(e_1,X1)
| ~ product(e_1,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f654,plain,
! [X0,X1] :
( ~ sQ147_spl
| equalish(X0,X1)
| ~ next(e_1,X1)
| ~ product(e_1,e_1,X0) ),
inference(component_clause,[status(thm)],[f653]) ).
fof(f656,definition,
( sQ148_spl
<=> greater(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f658,plain,
( sQ148_spl
| ~ greater(e_3,e_0) ),
inference(component_clause,[status(thm)],[f656]) ).
fof(f659,plain,
( ~ sQ11_spl
| ~ sQ148_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f649,f653,f656,f153]) ).
fof(f660,definition,
! [X0,X1,X2] :
( sQ149_spl
<=> ( equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f661,plain,
! [X0,X1,X2] :
( ~ sQ149_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,plain,
( ~ sQ11_spl
| ~ sQ148_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f651,f660,f656,f153]) ).
fof(f664,plain,
( sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f658,f55]) ).
fof(f665,plain,
sQ148_spl,
inference(contradiction_clause,[status(thm)],[f664]) ).
fof(f666,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)],[f151,f73]) ).
fof(f667,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)],[f151,f70]) ).
fof(f668,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)],[f151,f68]) ).
fof(f669,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,X0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f151,f64]) ).
fof(f670,definition,
( sQ150_spl
<=> greater(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( sQ150_spl
| ~ greater(e_2,e_0) ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,plain,
( ~ sQ10_spl
| ~ sQ150_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f666,f653,f670,f150]) ).
fof(f674,definition,
! [X0,X1,X2] :
( sQ151_spl
<=> ( equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f675,plain,
! [X0,X1,X2] :
( ~ sQ151_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( ~ sQ10_spl
| ~ sQ150_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f668,f674,f670,f150]) ).
fof(f678,plain,
( sQ150_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f672,f54]) ).
fof(f679,plain,
sQ150_spl,
inference(contradiction_clause,[status(thm)],[f678]) ).
fof(f680,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)],[f148,f73]) ).
fof(f681,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)],[f148,f70]) ).
fof(f682,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)],[f148,f68]) ).
fof(f683,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_1,X0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f148,f64]) ).
fof(f684,definition,
( sQ152_spl
<=> greater(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f686,plain,
( sQ152_spl
| ~ greater(e_1,e_0) ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,plain,
( ~ sQ9_spl
| ~ sQ152_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f680,f653,f684,f147]) ).
fof(f688,definition,
! [X0,X1,X2] :
( sQ153_spl
<=> ( equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f689,plain,
! [X0,X1,X2] :
( ~ sQ153_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,plain,
( ~ sQ9_spl
| ~ sQ152_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f682,f688,f684,f147]) ).
fof(f692,plain,
( sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f686,f53]) ).
fof(f693,plain,
sQ152_spl,
inference(contradiction_clause,[status(thm)],[f692]) ).
fof(f694,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)],[f145,f73]) ).
fof(f695,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)],[f145,f70]) ).
fof(f696,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)],[f145,f68]) ).
fof(f697,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_0,X0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f145,f64]) ).
fof(f698,plain,
( ~ sQ8_spl
| ~ sQ145_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f694,f653,f639,f144]) ).
fof(f699,definition,
! [X0,X1,X2] :
( sQ154_spl
<=> ( equalish(e_0,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f700,plain,
! [X0,X1,X2] :
( ~ sQ154_spl
| equalish(e_0,X2)
| ~ next(X1,X2)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f702,plain,
( ~ sQ8_spl
| ~ sQ145_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f696,f699,f639,f144]) ).
fof(f703,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)],[f141,f73]) ).
fof(f704,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)],[f141,f70]) ).
fof(f705,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)],[f141,f68]) ).
fof(f706,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f141,f64]) ).
fof(f707,definition,
! [X0,X1] :
( sQ155_spl
<=> ( equalish(X0,X1)
| ~ next(e_2,X1)
| ~ product(e_2,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f708,plain,
! [X0,X1] :
( ~ sQ155_spl
| equalish(X0,X1)
| ~ next(e_2,X1)
| ~ product(e_2,e_1,X0) ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,plain,
( ~ sQ7_spl
| ~ sQ148_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f703,f707,f656,f140]) ).
fof(f711,definition,
! [X0,X1,X2] :
( sQ156_spl
<=> ( equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f712,plain,
! [X0,X1,X2] :
( ~ sQ156_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,plain,
( ~ sQ7_spl
| ~ sQ148_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f705,f711,f656,f140]) ).
fof(f715,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)],[f138,f73]) ).
fof(f716,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)],[f138,f70]) ).
fof(f717,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)],[f138,f68]) ).
fof(f718,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f138,f64]) ).
fof(f719,plain,
( ~ sQ6_spl
| ~ sQ150_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f715,f707,f670,f137]) ).
fof(f720,definition,
! [X0,X1,X2] :
( sQ157_spl
<=> ( equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f721,plain,
! [X0,X1,X2] :
( ~ sQ157_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( ~ sQ6_spl
| ~ sQ150_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f717,f720,f670,f137]) ).
fof(f724,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)],[f135,f73]) ).
fof(f725,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)],[f135,f70]) ).
fof(f726,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)],[f135,f68]) ).
fof(f727,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f135,f64]) ).
fof(f728,plain,
( ~ sQ5_spl
| ~ sQ152_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f724,f707,f684,f134]) ).
fof(f729,definition,
! [X0,X1,X2] :
( sQ158_spl
<=> ( equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f730,plain,
! [X0,X1,X2] :
( ~ sQ158_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,plain,
( ~ sQ5_spl
| ~ sQ152_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f726,f729,f684,f134]) ).
fof(f733,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)],[f132,f73]) ).
fof(f734,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)],[f132,f70]) ).
fof(f735,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)],[f132,f68]) ).
fof(f736,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_0,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f132,f64]) ).
fof(f737,plain,
( ~ sQ4_spl
| ~ sQ145_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f733,f707,f639,f131]) ).
fof(f738,definition,
! [X0,X1,X2] :
( sQ159_spl
<=> ( equalish(e_0,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f739,plain,
! [X0,X1,X2] :
( ~ sQ159_spl
| equalish(e_0,X2)
| ~ next(X1,X2)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f741,plain,
( ~ sQ4_spl
| ~ sQ145_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f735,f738,f639,f131]) ).
fof(f742,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)],[f128,f73]) ).
fof(f743,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)],[f128,f70]) ).
fof(f744,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)],[f128,f68]) ).
fof(f745,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_3,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f128,f64]) ).
fof(f746,definition,
! [X0,X1] :
( sQ160_spl
<=> ( equalish(X0,X1)
| ~ next(e_3,X1)
| ~ product(e_3,e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f747,plain,
! [X0,X1] :
( ~ sQ160_spl
| equalish(X0,X1)
| ~ next(e_3,X1)
| ~ product(e_3,e_1,X0) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( ~ sQ3_spl
| ~ sQ148_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f742,f746,f656,f127]) ).
fof(f750,definition,
! [X0,X1,X2] :
( sQ161_spl
<=> ( equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f751,plain,
! [X0,X1,X2] :
( ~ sQ161_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,plain,
( ~ sQ3_spl
| ~ sQ148_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f744,f750,f656,f127]) ).
fof(f754,plain,
! [X0,X1] :
( ~ sQ111_spl
| equalish(X0,X1)
| ~ next(e_4,X1)
| ~ greater(e_3,e_0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f519,f73]) ).
fof(f755,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| ~ greater(e_3,X2)
| ~ greater(X0,e_4)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f519,f70]) ).
fof(f756,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ greater(e_3,e_0)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f519,f68]) ).
fof(f757,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,X0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f519,f64]) ).
fof(f758,plain,
( ~ sQ111_spl
| ~ sQ148_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f754,f645,f656,f518]) ).
fof(f759,definition,
! [X0,X1,X2] :
( sQ162_spl
<=> ( equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f760,plain,
! [X0,X1,X2] :
( ~ sQ162_spl
| equalish(e_3,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,plain,
( ~ sQ111_spl
| ~ sQ148_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f756,f759,f656,f518]) ).
fof(f763,plain,
! [X0,X1] :
( ~ sQ110_spl
| equalish(X0,X1)
| ~ next(e_4,X1)
| ~ greater(e_2,e_0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f516,f73]) ).
fof(f764,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| ~ greater(e_2,X2)
| ~ greater(X0,e_4)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f516,f70]) ).
fof(f765,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ greater(e_2,e_0)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f516,f68]) ).
fof(f766,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_2,X0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f516,f64]) ).
fof(f767,plain,
( ~ sQ110_spl
| ~ sQ150_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f763,f645,f670,f515]) ).
fof(f768,definition,
! [X0,X1,X2] :
( sQ163_spl
<=> ( equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f769,plain,
! [X0,X1,X2] :
( ~ sQ163_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( ~ sQ110_spl
| ~ sQ150_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f765,f768,f670,f515]) ).
fof(f772,plain,
! [X0,X1] :
( ~ sQ109_spl
| equalish(X0,X1)
| ~ next(e_4,X1)
| ~ greater(e_1,e_0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f513,f73]) ).
fof(f773,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| ~ greater(e_1,X2)
| ~ greater(X0,e_4)
| ~ next(X0,X1)
| ~ cycle(X1,X2)
| ~ cycle(X0,e_0) ),
inference(resolution,[status(thm)],[f513,f70]) ).
fof(f774,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ greater(e_1,e_0)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f513,f68]) ).
fof(f775,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_1,X0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f513,f64]) ).
fof(f776,plain,
( ~ sQ109_spl
| ~ sQ152_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f772,f645,f684,f512]) ).
fof(f777,definition,
! [X0,X1,X2] :
( sQ164_spl
<=> ( equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f778,plain,
! [X0,X1,X2] :
( ~ sQ164_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,plain,
( ~ sQ109_spl
| ~ sQ152_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f774,f777,f684,f512]) ).
fof(f782,plain,
! [X0] :
( ~ sQ144_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f637,f66]) ).
fof(f783,definition,
( sQ165_spl
<=> next(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( sQ165_spl
| ~ next(e_4,e_4) ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,definition,
! [X0] :
( sQ166_spl
<=> ( equalish(e_0,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f787,plain,
! [X0] :
( ~ sQ166_spl
| equalish(e_0,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,plain,
( ~ sQ144_spl
| sQ166_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f782,f783,f786,f636]) ).
fof(f790,plain,
! [X0,X1] :
( ~ greater(e_0,X1)
| ~ greater(e_4,e_4)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f643,f66]) ).
fof(f791,definition,
! [X0,X1] :
( sQ167_spl
<=> ( ~ greater(e_0,X1)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f792,plain,
! [X0,X1] :
( ~ sQ167_spl
| ~ greater(e_0,X1)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,definition,
( sQ168_spl
<=> greater(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f796,plain,
( sQ168_spl
| ~ greater(e_4,e_4) ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,plain,
( ~ sQ168_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f790,f791,f794]) ).
fof(f798,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)],[f125,f73]) ).
fof(f799,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)],[f125,f70]) ).
fof(f800,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)],[f125,f68]) ).
fof(f801,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_2,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f125,f64]) ).
fof(f802,plain,
( ~ sQ2_spl
| ~ sQ150_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f798,f746,f670,f124]) ).
fof(f803,definition,
! [X0,X1,X2] :
( sQ169_spl
<=> ( equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f804,plain,
! [X0,X1,X2] :
( ~ sQ169_spl
| equalish(e_2,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,plain,
( ~ sQ2_spl
| ~ sQ150_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f800,f803,f670,f124]) ).
fof(f807,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)],[f122,f73]) ).
fof(f808,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)],[f122,f70]) ).
fof(f809,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)],[f122,f68]) ).
fof(f810,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_1,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f122,f64]) ).
fof(f811,plain,
( ~ sQ1_spl
| ~ sQ152_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f807,f746,f684,f121]) ).
fof(f812,definition,
! [X0,X1,X2] :
( sQ170_spl
<=> ( equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f813,plain,
! [X0,X1,X2] :
( ~ sQ170_spl
| equalish(e_1,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,plain,
( ~ sQ1_spl
| ~ sQ152_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f809,f812,f684,f121]) ).
fof(f816,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)],[f119,f643]) ).
fof(f817,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)],[f119,f73]) ).
fof(f818,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)],[f119,f70]) ).
fof(f819,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)],[f119,f68]) ).
fof(f820,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_0,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f119,f64]) ).
fof(f821,definition,
! [X0,X1] :
( sQ171_spl
<=> ( ~ greater(e_0,X1)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f822,plain,
! [X0,X1] :
( ~ sQ171_spl
| ~ greater(e_0,X1)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f821]) ).
fof(f824,definition,
( sQ172_spl
<=> greater(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f826,plain,
( sQ172_spl
| ~ greater(e_3,e_4) ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f827,plain,
( ~ sQ0_spl
| ~ sQ172_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f816,f821,f824,f118]) ).
fof(f828,plain,
( ~ sQ0_spl
| ~ sQ145_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f817,f746,f639,f118]) ).
fof(f829,definition,
! [X0,X1,X2] :
( sQ173_spl
<=> ( equalish(e_0,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f830,plain,
! [X0,X1,X2] :
( ~ sQ173_spl
| equalish(e_0,X2)
| ~ next(X1,X2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,plain,
( ~ sQ0_spl
| ~ sQ145_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f819,f829,f639,f118]) ).
fof(f834,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)],[f151,f70]) ).
fof(f836,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,X0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f151,f64]) ).
fof(f840,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)],[f138,f70]) ).
fof(f842,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f138,f64]) ).
fof(f846,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)],[f125,f70]) ).
fof(f848,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_2,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f125,f64]) ).
fof(f851,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_3,X0)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f202,f96]) ).
fof(f852,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,X0)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f202,f94]) ).
fof(f853,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f202,f92]) ).
fof(f854,plain,
! [X0] :
( ~ sQ23_spl
| product2(X0,e_3,e_1)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f202,f107]) ).
fof(f855,plain,
( ~ sQ22_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f199,f108]) ).
fof(f856,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f199,f96]) ).
fof(f857,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,X0)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f199,f94]) ).
fof(f858,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f199,f92]) ).
fof(f859,plain,
! [X0] :
( ~ sQ22_spl
| product2(X0,e_3,e_1)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f199,f107]) ).
fof(f860,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f855,f84]) ).
fof(f861,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f860]) ).
fof(f862,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_3,X0)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f196,f96]) ).
fof(f863,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_1,X0)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f196,f94]) ).
fof(f864,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f196,f92]) ).
fof(f865,plain,
! [X0] :
( ~ sQ21_spl
| product2(X0,e_3,e_1)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f196,f107]) ).
fof(f866,plain,
( ~ sQ20_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f193,f111]) ).
fof(f867,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_3,X0)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f193,f96]) ).
fof(f868,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f193,f94]) ).
fof(f869,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f193,f92]) ).
fof(f870,plain,
! [X0] :
( ~ sQ20_spl
| product2(X0,e_3,e_1)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f193,f107]) ).
fof(f871,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f866,f79]) ).
fof(f872,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f871]) ).
fof(f873,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_3,X0)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f189,f96]) ).
fof(f874,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_2,X0)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f189,f94]) ).
fof(f875,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_4,X0)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f189,f92]) ).
fof(f876,plain,
! [X0] :
( ~ sQ19_spl
| product2(X0,e_3,e_2)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f189,f107]) ).
fof(f878,plain,
( ~ sQ19_spl
| ~ sQ23_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f852,f189]) ).
fof(f879,plain,
( ~ sQ23_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f852,f202]) ).
fof(f880,plain,
( ~ sQ19_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f878,f78]) ).
fof(f881,plain,
( ~ sQ19_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f880]) ).
fof(f885,plain,
( ~ sQ18_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f186,f108]) ).
fof(f886,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_3,X0)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f186,f96]) ).
fof(f887,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,X0)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f186,f94]) ).
fof(f888,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_3,X0)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f186,f92]) ).
fof(f889,plain,
! [X0] :
( ~ sQ18_spl
| product2(X0,e_3,e_2)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f186,f107]) ).
fof(f890,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f885,f85]) ).
fof(f891,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f890]) ).
fof(f892,plain,
( ~ sQ21_spl
| ~ sQ17_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f183,f863]) ).
fof(f893,plain,
( ~ sQ17_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f183,f111]) ).
fof(f894,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,X0)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f183,f96]) ).
fof(f895,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f183,f94]) ).
fof(f896,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f183,f92]) ).
fof(f897,plain,
! [X0] :
( ~ sQ17_spl
| product2(X0,e_3,e_2)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f183,f107]) ).
fof(f898,plain,
( ~ sQ21_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f892,f78]) ).
fof(f899,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f898]) ).
fof(f900,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_3,X0)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f180,f96]) ).
fof(f901,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f180,f94]) ).
fof(f902,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_1,X0)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f180,f92]) ).
fof(f903,plain,
! [X0] :
( ~ sQ16_spl
| product2(X0,e_3,e_2)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f180,f107]) ).
fof(f907,plain,
( ~ sQ15_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f176,f109]) ).
fof(f908,plain,
( ~ sQ15_spl
| product2(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f176,f110]) ).
fof(f909,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_3,X0)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f176,f96]) ).
fof(f910,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_3,X0)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f176,f94]) ).
fof(f911,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_4,X0)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f176,f92]) ).
fof(f912,plain,
! [X0] :
( ~ sQ15_spl
| product2(X0,e_3,e_3)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f176,f107]) ).
fof(f913,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f907,f86]) ).
fof(f914,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f913]) ).
fof(f915,plain,
( ~ sQ21_spl
| ~ sQ13_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f170,f863]) ).
fof(f916,plain,
( ~ sQ13_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f170,f109]) ).
fof(f917,plain,
( ~ sQ13_spl
| product2(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f170,f110]) ).
fof(f918,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,X0)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f170,f96]) ).
fof(f919,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,X0)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f170,f94]) ).
fof(f920,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_2,X0)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f170,f92]) ).
fof(f921,plain,
! [X0] :
( ~ sQ13_spl
| product2(X0,e_3,e_3)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f170,f107]) ).
fof(f922,plain,
( ~ sQ21_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f915,f79]) ).
fof(f923,plain,
( ~ sQ21_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f922]) ).
fof(f924,plain,
( ~ sQ16_spl
| ~ sQ12_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f167,f901]) ).
fof(f925,plain,
( ~ sQ12_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f167,f109]) ).
fof(f926,plain,
( ~ sQ12_spl
| product2(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f167,f110]) ).
fof(f927,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f167,f96]) ).
fof(f928,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f167,f94]) ).
fof(f929,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_1,X0)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f167,f92]) ).
fof(f930,plain,
! [X0] :
( ~ sQ12_spl
| product2(X0,e_3,e_3)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f167,f107]) ).
fof(f931,plain,
( ~ sQ16_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f924,f82]) ).
fof(f932,plain,
( ~ sQ16_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f931]) ).
fof(f933,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f244,f865]) ).
fof(f934,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_2,X0)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f244,f96]) ).
fof(f935,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,X0)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f244,f94]) ).
fof(f936,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f244,f92]) ).
fof(f937,plain,
! [X0] :
( ~ sQ35_spl
| product2(X0,e_2,e_1)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f244,f107]) ).
fof(f938,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ35_spl
| equalish(e_4,X0)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f933,f104]) ).
fof(f939,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ35_spl
| equalish(e_3,X0)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f933,f102]) ).
fof(f940,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ35_spl
| equalish(e_1,X0)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f933,f100]) ).
fof(f947,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f241,f936]) ).
fof(f948,plain,
( ~ sQ21_spl
| ~ sQ34_spl
| product2(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f241,f865]) ).
fof(f949,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_2,X0)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f241,f96]) ).
fof(f950,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_1,X0)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f241,f94]) ).
fof(f951,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_3,X0)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f241,f92]) ).
fof(f952,plain,
! [X0] :
( ~ sQ34_spl
| product2(X0,e_2,e_1)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f241,f107]) ).
fof(f953,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f947,f89]) ).
fof(f954,plain,
( ~ sQ35_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f953]) ).
fof(f955,plain,
( ~ sQ21_spl
| ~ sQ33_spl
| product2(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f238,f865]) ).
fof(f956,plain,
( ~ sQ21_spl
| ~ sQ33_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f238,f862]) ).
fof(f957,plain,
( ~ sQ33_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f238,f108]) ).
fof(f958,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_2,X0)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f238,f96]) ).
fof(f959,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_1,X0)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f238,f94]) ).
fof(f960,plain,
! [X0] :
( ~ sQ33_spl
| equalish(e_2,X0)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f238,f92]) ).
fof(f961,plain,
! [X0] :
( ~ sQ33_spl
| product2(X0,e_2,e_1)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f238,f107]) ).
fof(f962,plain,
( ~ sQ21_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f956,f85]) ).
fof(f963,plain,
( ~ sQ21_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f962]) ).
fof(f964,plain,
( ~ sQ21_spl
| ~ sQ32_spl
| product2(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f235,f865]) ).
fof(f965,plain,
( ~ sQ32_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f235,f111]) ).
fof(f966,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_2,X0)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f235,f96]) ).
fof(f967,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_1,X0)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f235,f94]) ).
fof(f968,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_1,X0)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f235,f92]) ).
fof(f969,plain,
! [X0] :
( ~ sQ32_spl
| product2(X0,e_2,e_1)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f235,f107]) ).
fof(f970,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f965,f78]) ).
fof(f971,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f970]) ).
fof(f972,plain,
( ~ sQ21_spl
| ~ sQ34_spl
| product2(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f952,f196]) ).
fof(f973,plain,
( ~ sQ21_spl
| ~ sQ34_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f948,f112]) ).
fof(f974,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ34_spl
| equalish(e_3,X0)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f948,f104]) ).
fof(f975,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ34_spl
| equalish(e_3,X0)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f948,f102]) ).
fof(f976,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ34_spl
| equalish(e_1,X0)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f948,f100]) ).
fof(f977,plain,
( ~ sQ21_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f973,f84]) ).
fof(f978,plain,
( ~ sQ21_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f977]) ).
fof(f985,plain,
( ~ sQ35_spl
| ~ sQ31_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f231,f935]) ).
fof(f986,plain,
( ~ sQ31_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f231,f109]) ).
fof(f987,plain,
( ~ sQ31_spl
| product2(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f231,f110]) ).
fof(f988,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,X0)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f231,f96]) ).
fof(f989,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,X0)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f231,f94]) ).
fof(f990,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f231,f92]) ).
fof(f991,plain,
! [X0] :
( ~ sQ31_spl
| product2(X0,e_2,e_2)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f231,f107]) ).
fof(f992,plain,
( ~ sQ35_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f985,f78]) ).
fof(f993,plain,
( ~ sQ35_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f992]) ).
fof(f994,plain,
( ~ sQ30_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f228,f109]) ).
fof(f995,plain,
( ~ sQ30_spl
| product2(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f228,f110]) ).
fof(f996,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_2,X0)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f228,f96]) ).
fof(f997,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_2,X0)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f228,f94]) ).
fof(f998,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_3,X0)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f228,f92]) ).
fof(f999,plain,
! [X0] :
( ~ sQ30_spl
| product2(X0,e_2,e_2)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f228,f107]) ).
fof(f1000,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f994,f82]) ).
fof(f1001,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f1000]) ).
fof(f1002,plain,
( ~ sQ16_spl
| ~ sQ28_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f222,f900]) ).
fof(f1003,plain,
( ~ sQ28_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f222,f109]) ).
fof(f1004,plain,
( ~ sQ28_spl
| product2(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f222,f110]) ).
fof(f1005,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_2,X0)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f222,f96]) ).
fof(f1006,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_2,X0)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f222,f94]) ).
fof(f1007,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_1,X0)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f222,f92]) ).
fof(f1008,plain,
! [X0] :
( ~ sQ28_spl
| product2(X0,e_2,e_2)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f222,f107]) ).
fof(f1009,plain,
( ~ sQ16_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1002,f85]) ).
fof(f1010,plain,
( ~ sQ16_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1009]) ).
fof(f1011,plain,
( ~ sQ35_spl
| ~ sQ27_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f218,f935]) ).
fof(f1012,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_2,X0)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f218,f96]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,X0)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f218,f94]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f218,f92]) ).
fof(f1015,plain,
! [X0] :
( ~ sQ27_spl
| product2(X0,e_2,e_3)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f218,f107]) ).
fof(f1016,plain,
( ~ sQ35_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1011,f79]) ).
fof(f1017,plain,
( ~ sQ35_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1016]) ).
fof(f1018,plain,
( ~ sQ26_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f215,f111]) ).
fof(f1019,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,X0)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f215,f96]) ).
fof(f1020,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_3,X0)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f215,f94]) ).
fof(f1021,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_3,X0)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f215,f92]) ).
fof(f1022,plain,
! [X0] :
( ~ sQ26_spl
| product2(X0,e_2,e_3)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f215,f107]) ).
fof(f1023,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1018,f85]) ).
fof(f1024,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f1023]) ).
fof(f1025,plain,
( ~ sQ25_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f212,f108]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f212,f96]) ).
fof(f1027,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_3,X0)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f212,f94]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_2,X0)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f212,f92]) ).
fof(f1029,plain,
! [X0] :
( ~ sQ25_spl
| product2(X0,e_2,e_3)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f212,f107]) ).
fof(f1030,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1025,f82]) ).
fof(f1031,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f1030]) ).
fof(f1032,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_2,X0)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f209,f96]) ).
fof(f1033,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_3,X0)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f209,f94]) ).
fof(f1034,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_1,X0)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f209,f92]) ).
fof(f1035,plain,
! [X0] :
( ~ sQ24_spl
| product2(X0,e_2,e_3)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f209,f107]) ).
fof(f1039,plain,
( ~ sQ35_spl
| ~ sQ47_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f286,f934]) ).
fof(f1040,plain,
( ~ sQ47_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f286,f109]) ).
fof(f1041,plain,
( ~ sQ47_spl
| product2(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f286,f110]) ).
fof(f1042,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f286,f96]) ).
fof(f1043,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f286,f94]) ).
fof(f1044,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f286,f92]) ).
fof(f1045,plain,
! [X0] :
( ~ sQ47_spl
| product2(X0,e_1,e_1)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f286,f107]) ).
fof(f1046,plain,
( ~ sQ35_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1039,f81]) ).
fof(f1047,plain,
( ~ sQ35_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1046]) ).
fof(f1048,plain,
( ~ sQ46_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f283,f109]) ).
fof(f1049,plain,
( ~ sQ46_spl
| product2(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f283,f110]) ).
fof(f1050,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f283,f96]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f283,f94]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_3,X0)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f283,f92]) ).
fof(f1053,plain,
! [X0] :
( ~ sQ46_spl
| product2(X0,e_1,e_1)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f283,f107]) ).
fof(f1054,plain,
( ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1048,f79]) ).
fof(f1055,plain,
~ sQ46_spl,
inference(contradiction_clause,[status(thm)],[f1054]) ).
fof(f1056,plain,
( ~ sQ21_spl
| ~ sQ45_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f280,f862]) ).
fof(f1057,plain,
( ~ sQ45_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f280,f109]) ).
fof(f1058,plain,
( ~ sQ45_spl
| product2(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f280,f110]) ).
fof(f1059,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f280,f96]) ).
fof(f1060,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f280,f94]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_2,X0)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f280,f92]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ45_spl
| product2(X0,e_1,e_1)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f280,f107]) ).
fof(f1063,plain,
( ~ sQ21_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1056,f84]) ).
fof(f1064,plain,
( ~ sQ21_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1063]) ).
fof(f1065,plain,
( ~ sQ16_spl
| ~ sQ43_spl
| product2(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f273,f903]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_1,X0)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f273,f96]) ).
fof(f1067,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f273,f94]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f273,f92]) ).
fof(f1069,plain,
! [X0] :
( ~ sQ43_spl
| product2(X0,e_1,e_2)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f273,f107]) ).
fof(f1070,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ16_spl
| ~ sQ43_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1065,f940]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ43_spl
| equalish(e_4,X0)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1065,f104]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ43_spl
| equalish(e_3,X0)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1065,f102]) ).
fof(f1073,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ43_spl
| equalish(e_2,X0)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1065,f100]) ).
fof(f1074,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ16_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1070,f78]) ).
fof(f1075,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ16_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1074]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_1,X0)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f270,f96]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f270,f94]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f270,f92]) ).
fof(f1079,plain,
! [X0] :
( ~ sQ42_spl
| product2(X0,e_1,e_2)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f270,f107]) ).
fof(f1084,plain,
( ~ sQ41_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f267,f111]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_1,X0)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f267,f96]) ).
fof(f1086,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f267,f94]) ).
fof(f1087,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f267,f92]) ).
fof(f1088,plain,
! [X0] :
( ~ sQ41_spl
| product2(X0,e_1,e_2)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f267,f107]) ).
fof(f1091,plain,
( ~ sQ40_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f264,f108]) ).
fof(f1092,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f264,f96]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f264,f94]) ).
fof(f1094,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f264,f92]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ40_spl
| product2(X0,e_1,e_2)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f264,f107]) ).
fof(f1096,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1091,f78]) ).
fof(f1097,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f1096]) ).
fof(f1098,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| product2(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f260,f1035]) ).
fof(f1099,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_1,X0)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f260,f96]) ).
fof(f1100,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,X0)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f260,f94]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f260,f92]) ).
fof(f1102,plain,
! [X0] :
( ~ sQ39_spl
| product2(X0,e_1,e_3)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f260,f107]) ).
fof(f1103,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| equalish(e_4,X0)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1098,f104]) ).
fof(f1104,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| equalish(e_2,X0)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1098,f102]) ).
fof(f1105,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ39_spl
| equalish(e_3,X0)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1098,f100]) ).
fof(f1109,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f257,f1101]) ).
fof(f1110,plain,
( ~ sQ24_spl
| ~ sQ38_spl
| product2(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f257,f1035]) ).
fof(f1111,plain,
( ~ sQ42_spl
| ~ sQ38_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f257,f1077]) ).
fof(f1112,plain,
( ~ sQ38_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f257,f111]) ).
fof(f1113,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_1,X0)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f257,f96]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f257,f94]) ).
fof(f1115,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f257,f92]) ).
fof(f1116,plain,
! [X0] :
( ~ sQ38_spl
| product2(X0,e_1,e_3)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f257,f107]) ).
fof(f1117,plain,
( ~ sQ39_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1109,f89]) ).
fof(f1118,plain,
( ~ sQ39_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1117]) ).
fof(f1119,plain,
( ~ sQ24_spl
| ~ sQ37_spl
| product2(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f254,f1035]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_1,X0)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f254,f96]) ).
fof(f1121,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f254,f94]) ).
fof(f1122,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_2,X0)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f254,f92]) ).
fof(f1123,plain,
! [X0] :
( ~ sQ37_spl
| product2(X0,e_1,e_3)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f254,f107]) ).
fof(f1124,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| product2(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f251,f1035]) ).
fof(f1125,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f251,f1032]) ).
fof(f1126,plain,
( ~ sQ36_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f251,f108]) ).
fof(f1127,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_1,X0)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f251,f96]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,X0)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f251,f94]) ).
fof(f1129,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_1,X0)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f251,f92]) ).
fof(f1130,plain,
! [X0] :
( ~ sQ36_spl
| product2(X0,e_1,e_3)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f251,f107]) ).
fof(f1131,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1125,f81]) ).
fof(f1132,plain,
( ~ sQ24_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1131]) ).
fof(f1133,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f328,f104]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_1,X0)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f328,f102]) ).
fof(f1135,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,X0)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f328,f100]) ).
fof(f1136,plain,
( ~ sQ58_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f325,f113]) ).
fof(f1137,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f325,f104]) ).
fof(f1138,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_1,X0)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f325,f102]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f325,f100]) ).
fof(f1140,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1136,f84]) ).
fof(f1141,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f1140]) ).
fof(f1142,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f322,f104]) ).
fof(f1143,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_1,X0)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f322,f102]) ).
fof(f1144,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_2,X0)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f322,f100]) ).
fof(f1145,plain,
( ~ sQ56_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f319,f114]) ).
fof(f1146,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_3,X0)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f319,f104]) ).
fof(f1147,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_1,X0)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f319,f102]) ).
fof(f1148,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_1,X0)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f319,f100]) ).
fof(f1149,plain,
( ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1145,f79]) ).
fof(f1150,plain,
~ sQ56_spl,
inference(contradiction_clause,[status(thm)],[f1149]) ).
fof(f1151,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f315,f104]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_2,X0)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f315,f102]) ).
fof(f1153,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,X0)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f315,f100]) ).
fof(f1154,plain,
( ~ sQ54_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f312,f113]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f312,f104]) ).
fof(f1156,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_2,X0)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f312,f102]) ).
fof(f1157,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f312,f100]) ).
fof(f1158,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1154,f85]) ).
fof(f1159,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f1158]) ).
fof(f1160,plain,
( ~ sQ24_spl
| ~ sQ37_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1119,f112]) ).
fof(f1161,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ37_spl
| equalish(e_2,X0)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1119,f104]) ).
fof(f1162,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ37_spl
| equalish(e_2,X0)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1119,f102]) ).
fof(f1163,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ37_spl
| equalish(e_3,X0)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1119,f100]) ).
fof(f1164,plain,
( ~ sQ24_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1160,f82]) ).
fof(f1165,plain,
( ~ sQ24_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1164]) ).
fof(f1166,plain,
( ~ sQ24_spl
| ~ sQ38_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f1110,f311,f256,f208]) ).
fof(f1167,plain,
( ~ sQ42_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1111,f82]) ).
fof(f1168,plain,
( ~ sQ42_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1167]) ).
fof(f1169,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1084,f81]) ).
fof(f1170,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f1169]) ).
fof(f1178,plain,
( ~ sQ55_spl
| ~ sQ59_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1134,f315]) ).
fof(f1180,plain,
( ~ sQ55_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1178,f78]) ).
fof(f1181,plain,
( ~ sQ55_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1180]) ).
fof(f1185,plain,
( ~ sQ57_spl
| ~ sQ53_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f309,f1143]) ).
fof(f1186,plain,
( ~ sQ53_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f309,f114]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_3,X0)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f309,f104]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_2,X0)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f309,f102]) ).
fof(f1189,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_2,X0)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f309,f100]) ).
fof(f1190,plain,
( ~ sQ57_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1185,f78]) ).
fof(f1191,plain,
( ~ sQ57_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1190]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f306,f104]) ).
fof(f1193,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_2,X0)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f306,f102]) ).
fof(f1194,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_1,X0)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f306,f100]) ).
fof(f1198,plain,
( ~ sQ51_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f302,f112]) ).
fof(f1199,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_3,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f302,f104]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_3,X0)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f302,f102]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_4,X0)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f302,f100]) ).
fof(f1202,plain,
( ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1198,f86]) ).
fof(f1203,plain,
~ sQ51_spl,
inference(contradiction_clause,[status(thm)],[f1202]) ).
fof(f1204,plain,
( ~ sQ57_spl
| ~ sQ49_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f296,f1143]) ).
fof(f1205,plain,
( ~ sQ49_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f296,f112]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_3,X0)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f296,f104]) ).
fof(f1207,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_3,X0)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f296,f102]) ).
fof(f1208,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_2,X0)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f296,f100]) ).
fof(f1209,plain,
( ~ sQ57_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1204,f79]) ).
fof(f1210,plain,
( ~ sQ57_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1209]) ).
fof(f1211,plain,
( ~ sQ52_spl
| ~ sQ48_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f293,f1193]) ).
fof(f1212,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ48_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f293,f938]) ).
fof(f1213,plain,
( ~ sQ48_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f293,f112]) ).
fof(f1214,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_3,X0)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f293,f104]) ).
fof(f1215,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_3,X0)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f293,f102]) ).
fof(f1216,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f293,f100]) ).
fof(f1217,plain,
( ~ sQ52_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1211,f82]) ).
fof(f1218,plain,
( ~ sQ52_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1217]) ).
fof(f1219,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,X0)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f370,f104]) ).
fof(f1220,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f370,f102]) ).
fof(f1221,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f370,f100]) ).
fof(f1225,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f367,f1221]) ).
fof(f1226,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_2,X0)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f367,f104]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f367,f102]) ).
fof(f1228,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_3,X0)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f367,f100]) ).
fof(f1229,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1225,f89]) ).
fof(f1230,plain,
( ~ sQ71_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f1229]) ).
fof(f1232,plain,
( ~ sQ69_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f364,f113]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,X0)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f364,f104]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_1,X0)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f364,f102]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,X0)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f364,f100]) ).
fof(f1238,plain,
( ~ sQ68_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f361,f114]) ).
fof(f1239,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_2,X0)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f361,f104]) ).
fof(f1240,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_1,X0)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f361,f102]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_1,X0)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f361,f100]) ).
fof(f1242,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1238,f78]) ).
fof(f1243,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f1242]) ).
fof(f1244,plain,
( ~ sQ67_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f357,f112]) ).
fof(f1245,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_2,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f357,f104]) ).
fof(f1246,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_2,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f357,f102]) ).
fof(f1247,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f357,f100]) ).
fof(f1248,plain,
( ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1244,f83]) ).
fof(f1249,plain,
~ sQ67_spl,
inference(contradiction_clause,[status(thm)],[f1248]) ).
fof(f1250,plain,
( ~ sQ70_spl
| ~ sQ66_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f354,f1227]) ).
fof(f1251,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ66_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f354,f1103]) ).
fof(f1252,plain,
( ~ sQ66_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f354,f112]) ).
fof(f1253,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f354,f104]) ).
fof(f1254,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f354,f102]) ).
fof(f1255,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_3,X0)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f354,f100]) ).
fof(f1256,plain,
( ~ sQ70_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1250,f78]) ).
fof(f1257,plain,
( ~ sQ70_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1256]) ).
fof(f1258,plain,
( ~ sQ52_spl
| ~ sQ64_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f348,f1192]) ).
fof(f1259,plain,
( ~ sQ64_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f348,f112]) ).
fof(f1260,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_2,X0)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f348,f104]) ).
fof(f1261,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_2,X0)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f348,f102]) ).
fof(f1262,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_1,X0)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f348,f100]) ).
fof(f1263,plain,
( ~ sQ52_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1258,f85]) ).
fof(f1264,plain,
( ~ sQ52_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f1263]) ).
fof(f1265,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_2,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f344,f104]) ).
fof(f1266,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f344,f102]) ).
fof(f1267,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f344,f100]) ).
fof(f1273,plain,
( ~ sQ62_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f341,f114]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_2,X0)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f341,f104]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_3,X0)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f341,f102]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_3,X0)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f341,f100]) ).
fof(f1279,plain,
( ~ sQ61_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f338,f113]) ).
fof(f1280,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f338,f104]) ).
fof(f1281,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f338,f102]) ).
fof(f1282,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f338,f100]) ).
fof(f1283,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1279,f82]) ).
fof(f1284,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1283]) ).
fof(f1285,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ60_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f335,f938]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_2,X0)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f335,f104]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f335,f102]) ).
fof(f1288,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f335,f100]) ).
fof(f1289,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1285,f88]) ).
fof(f1290,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1289]) ).
fof(f1293,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1273,f85]) ).
fof(f1294,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f1293]) ).
fof(f1295,plain,
( ~ sQ83_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f412,f112]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_1,X0)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f412,f104]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_1,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f412,f102]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f412,f100]) ).
fof(f1299,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1295,f80]) ).
fof(f1300,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f1299]) ).
fof(f1301,plain,
( ~ sQ70_spl
| ~ sQ82_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f409,f1226]) ).
fof(f1302,plain,
( ~ sQ82_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f409,f112]) ).
fof(f1303,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_1,X0)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f409,f104]) ).
fof(f1304,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_1,X0)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f409,f102]) ).
fof(f1305,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,X0)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f409,f100]) ).
fof(f1306,plain,
( ~ sQ70_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1301,f81]) ).
fof(f1307,plain,
( ~ sQ70_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f1306]) ).
fof(f1308,plain,
( ~ sQ57_spl
| ~ sQ81_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f406,f1142]) ).
fof(f1309,plain,
( ~ sQ81_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f406,f112]) ).
fof(f1310,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_1,X0)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f406,f104]) ).
fof(f1311,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_1,X0)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f406,f102]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f406,f100]) ).
fof(f1313,plain,
( ~ sQ57_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1308,f84]) ).
fof(f1314,plain,
( ~ sQ57_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f1313]) ).
fof(f1315,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_1,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f399,f104]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_2,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f399,f102]) ).
fof(f1317,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f399,f100]) ).
fof(f1321,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f396,f1317]) ).
fof(f1322,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ78_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f396,f1103]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_1,X0)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f396,f104]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_2,X0)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f396,f102]) ).
fof(f1325,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_3,X0)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f396,f100]) ).
fof(f1326,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1321,f89]) ).
fof(f1327,plain,
( ~ sQ79_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1326]) ).
fof(f1328,plain,
( ~ sQ77_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f393,f114]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_1,X0)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f393,f104]) ).
fof(f1330,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,X0)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f393,f102]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,X0)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f393,f100]) ).
fof(f1332,plain,
( ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1328,f81]) ).
fof(f1333,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f1332]) ).
fof(f1335,plain,
( ~ sQ76_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f390,f113]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_1,X0)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f390,f104]) ).
fof(f1337,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f390,f102]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_1,X0)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f390,f100]) ).
fof(f1341,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1322,f87]) ).
fof(f1342,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1341]) ).
fof(f1343,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1335,f78]) ).
fof(f1344,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f1343]) ).
fof(f1345,plain,
( ~ sQ79_spl
| ~ sQ75_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f386,f1316]) ).
fof(f1346,plain,
( ~ sQ63_spl
| ~ sQ75_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f386,f1265]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f386,f104]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_3,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f386,f102]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f386,f100]) ).
fof(f1350,plain,
( ~ sQ79_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1345,f82]) ).
fof(f1351,plain,
( ~ sQ79_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1350]) ).
fof(f1352,plain,
( ~ sQ74_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f383,f114]) ).
fof(f1353,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,X0)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f383,f104]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,X0)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f383,f102]) ).
fof(f1355,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,X0)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f383,f100]) ).
fof(f1356,plain,
( ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1352,f84]) ).
fof(f1357,plain,
~ sQ74_spl,
inference(contradiction_clause,[status(thm)],[f1356]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_1,X0)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f380,f104]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_3,X0)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f380,f102]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_2,X0)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f380,f100]) ).
fof(f1361,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ72_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f377,f938]) ).
fof(f1362,plain,
( ~ sQ72_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f377,f113]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_1,X0)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f377,f104]) ).
fof(f1364,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f377,f102]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_1,X0)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f377,f100]) ).
fof(f1366,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1361,f87]) ).
fof(f1367,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f1366]) ).
fof(f1368,plain,
( ~ sQ19_spl
| ~ sQ107_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f506,f874]) ).
fof(f1369,plain,
( ~ sQ107_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f506,f111]) ).
fof(f1370,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,X0)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f506,f96]) ).
fof(f1371,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,X0)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f506,f94]) ).
fof(f1372,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,X0)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f506,f92]) ).
fof(f1373,plain,
! [X0] :
( ~ sQ107_spl
| product2(X0,e_3,e_4)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f506,f107]) ).
fof(f1374,plain,
( ~ sQ19_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1368,f83]) ).
fof(f1375,plain,
( ~ sQ19_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f1374]) ).
fof(f1376,plain,
( ~ sQ106_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f503,f108]) ).
fof(f1377,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_3,X0)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f503,f96]) ).
fof(f1378,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_4,X0)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f503,f94]) ).
fof(f1379,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_3,X0)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f503,f92]) ).
fof(f1380,plain,
! [X0] :
( ~ sQ106_spl
| product2(X0,e_3,e_4)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f503,f107]) ).
fof(f1381,plain,
( ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1376,f86]) ).
fof(f1382,plain,
~ sQ106_spl,
inference(contradiction_clause,[status(thm)],[f1381]) ).
fof(f1383,plain,
( ~ sQ21_spl
| ~ sQ105_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f500,f863]) ).
fof(f1384,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_3,X0)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f500,f96]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_4,X0)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f500,f94]) ).
fof(f1386,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_2,X0)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f500,f92]) ).
fof(f1387,plain,
! [X0] :
( ~ sQ105_spl
| product2(X0,e_3,e_4)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f500,f107]) ).
fof(f1388,plain,
( ~ sQ21_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1383,f80]) ).
fof(f1389,plain,
( ~ sQ21_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f1388]) ).
fof(f1390,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_3,X0)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f497,f96]) ).
fof(f1391,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_4,X0)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f497,f94]) ).
fof(f1392,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_1,X0)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f497,f92]) ).
fof(f1393,plain,
! [X0] :
( ~ sQ104_spl
| product2(X0,e_3,e_4)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f497,f107]) ).
fof(f1394,plain,
( ~ sQ35_spl
| ~ sQ103_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f493,f935]) ).
fof(f1395,plain,
( ~ sQ103_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f493,f111]) ).
fof(f1396,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_2,X0)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f493,f96]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,X0)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f493,f94]) ).
fof(f1398,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,X0)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f493,f92]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ103_spl
| product2(X0,e_2,e_4)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f493,f107]) ).
fof(f1400,plain,
( ~ sQ35_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1394,f80]) ).
fof(f1401,plain,
( ~ sQ35_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f1400]) ).
fof(f1402,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_2,X0)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f490,f96]) ).
fof(f1403,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_4,X0)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f490,f94]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,X0)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f490,f92]) ).
fof(f1405,plain,
! [X0] :
( ~ sQ102_spl
| product2(X0,e_2,e_4)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f490,f107]) ).
fof(f1406,plain,
( ~ sQ104_spl
| ~ sQ102_spl
| product2(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1405,f497]) ).
fof(f1410,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ102_spl
| equalish(e_1,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1406,f104]) ).
fof(f1411,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ102_spl
| equalish(e_2,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1406,f102]) ).
fof(f1412,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ102_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1406,f100]) ).
fof(f1423,plain,
( ~ sQ101_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f487,f108]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,X0)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f487,f96]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_4,X0)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f487,f94]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,X0)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f487,f92]) ).
fof(f1427,plain,
! [X0] :
( ~ sQ101_spl
| product2(X0,e_2,e_4)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f487,f107]) ).
fof(f1430,plain,
( ~ sQ24_spl
| ~ sQ100_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f484,f1033]) ).
fof(f1431,plain,
( ~ sQ104_spl
| ~ sQ100_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f484,f1390]) ).
fof(f1432,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_2,X0)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f484,f96]) ).
fof(f1433,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_4,X0)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f484,f94]) ).
fof(f1434,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f484,f92]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ100_spl
| product2(X0,e_2,e_4)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f484,f107]) ).
fof(f1436,plain,
( ~ sQ24_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1430,f86]) ).
fof(f1437,plain,
( ~ sQ24_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f1436]) ).
fof(f1438,plain,
( ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1423,f83]) ).
fof(f1439,plain,
~ sQ101_spl,
inference(contradiction_clause,[status(thm)],[f1438]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ102_spl
| equalish(e_1,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1406,f104]) ).
fof(f1444,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ102_spl
| equalish(e_2,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1406,f102]) ).
fof(f1445,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ102_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1406,f100]) ).
fof(f1447,plain,
( ~ sQ104_spl
| ~ sQ99_spl
| product2(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f480,f1393]) ).
fof(f1448,plain,
( ~ sQ39_spl
| ~ sQ99_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f480,f1100]) ).
fof(f1449,plain,
( ~ sQ99_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f480,f111]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,X0)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f480,f96]) ).
fof(f1451,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_4,X0)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f480,f94]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_4,X0)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f480,f92]) ).
fof(f1453,plain,
! [X0] :
( ~ sQ99_spl
| product2(X0,e_1,e_4)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f480,f107]) ).
fof(f1454,plain,
( ~ sQ39_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1448,f86]) ).
fof(f1455,plain,
( ~ sQ39_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1454]) ).
fof(f1456,plain,
( ~ sQ104_spl
| ~ sQ98_spl
| product2(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f477,f1393]) ).
fof(f1457,plain,
( ~ sQ42_spl
| ~ sQ98_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f477,f1077]) ).
fof(f1458,plain,
( ~ sQ102_spl
| ~ sQ98_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f477,f1402]) ).
fof(f1459,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,X0)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f477,f96]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,X0)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f477,f94]) ).
fof(f1461,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_3,X0)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f477,f92]) ).
fof(f1462,plain,
! [X0] :
( ~ sQ98_spl
| product2(X0,e_1,e_4)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f477,f107]) ).
fof(f1463,plain,
( ~ sQ104_spl
| ~ sQ98_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1456,f301,f476,f496]) ).
fof(f1464,plain,
( ~ sQ42_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1457,f83]) ).
fof(f1465,plain,
( ~ sQ42_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f1464]) ).
fof(f1466,plain,
( ~ sQ104_spl
| ~ sQ97_spl
| product2(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f474,f1393]) ).
fof(f1467,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,X0)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f474,f96]) ).
fof(f1468,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_4,X0)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f474,f94]) ).
fof(f1469,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_2,X0)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f474,f92]) ).
fof(f1470,plain,
! [X0] :
( ~ sQ97_spl
| product2(X0,e_1,e_4)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f474,f107]) ).
fof(f1474,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ97_spl
| equalish(e_2,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1466,f104]) ).
fof(f1475,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ97_spl
| equalish(e_3,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1466,f102]) ).
fof(f1476,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ97_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1466,f100]) ).
fof(f1483,plain,
( ~ sQ96_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f471,f108]) ).
fof(f1484,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_1,X0)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f471,f96]) ).
fof(f1485,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_4,X0)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f471,f94]) ).
fof(f1486,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_1,X0)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f471,f92]) ).
fof(f1487,plain,
! [X0] :
( ~ sQ96_spl
| product2(X0,e_1,e_4)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f471,f107]) ).
fof(f1496,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ97_spl
| equalish(e_2,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1466,f104]) ).
fof(f1497,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ97_spl
| equalish(e_3,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1466,f102]) ).
fof(f1498,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ97_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1466,f100]) ).
fof(f1499,plain,
( ~ sQ95_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f467,f114]) ).
fof(f1500,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_3,X0)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f467,f104]) ).
fof(f1501,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_4,X0)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f467,f102]) ).
fof(f1502,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_4,X0)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f467,f100]) ).
fof(f1503,plain,
( ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1499,f89]) ).
fof(f1504,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1503]) ).
fof(f1505,plain,
( ~ sQ94_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f464,f113]) ).
fof(f1506,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_3,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f464,f104]) ).
fof(f1507,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_4,X0)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f464,f102]) ).
fof(f1508,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_3,X0)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f464,f100]) ).
fof(f1509,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1505,f86]) ).
fof(f1510,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f1509]) ).
fof(f1511,plain,
( ~ sQ57_spl
| ~ sQ93_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f461,f1143]) ).
fof(f1512,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_3,X0)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f461,f104]) ).
fof(f1513,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_4,X0)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f461,f102]) ).
fof(f1514,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f461,f100]) ).
fof(f1515,plain,
( ~ sQ57_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1511,f80]) ).
fof(f1516,plain,
( ~ sQ57_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f1515]) ).
fof(f1517,plain,
( ~ sQ52_spl
| ~ sQ92_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f458,f1193]) ).
fof(f1518,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_3,X0)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f458,f104]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_4,X0)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f458,f102]) ).
fof(f1520,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_1,X0)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f458,f100]) ).
fof(f1521,plain,
( ~ sQ52_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1517,f83]) ).
fof(f1522,plain,
( ~ sQ52_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f1521]) ).
fof(f1526,plain,
( ~ sQ104_spl
| ~ sQ102_spl
| ~ sQ55_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1151,f1406]) ).
fof(f1527,plain,
( ~ sQ104_spl
| ~ sQ102_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1526,f84]) ).
fof(f1528,plain,
( ~ sQ104_spl
| ~ sQ102_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1527]) ).
fof(f1529,plain,
( ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1232,f81]) ).
fof(f1530,plain,
~ sQ69_spl,
inference(contradiction_clause,[status(thm)],[f1529]) ).
fof(f1531,plain,
( ~ sQ63_spl
| ~ sQ91_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f454,f1266]) ).
fof(f1532,plain,
( ~ sQ91_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f454,f114]) ).
fof(f1533,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_2,X0)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f454,f104]) ).
fof(f1534,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_4,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f454,f102]) ).
fof(f1535,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f454,f100]) ).
fof(f1536,plain,
( ~ sQ63_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1531,f86]) ).
fof(f1537,plain,
( ~ sQ63_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f1536]) ).
fof(f1538,plain,
( ~ sQ70_spl
| ~ sQ90_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f451,f1227]) ).
fof(f1539,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f451,f104]) ).
fof(f1540,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_4,X0)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f451,f102]) ).
fof(f1541,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_3,X0)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f451,f100]) ).
fof(f1542,plain,
( ~ sQ70_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1538,f80]) ).
fof(f1543,plain,
( ~ sQ70_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f1542]) ).
fof(f1544,plain,
( ~ sQ93_spl
| ~ sQ89_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f448,f1512]) ).
fof(f1545,plain,
( ~ sQ89_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f448,f113]) ).
fof(f1546,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_2,X0)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f448,f104]) ).
fof(f1547,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_4,X0)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f448,f102]) ).
fof(f1548,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_2,X0)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f448,f100]) ).
fof(f1549,plain,
( ~ sQ93_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1544,f85]) ).
fof(f1550,plain,
( ~ sQ93_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1549]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_2,X0)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f445,f104]) ).
fof(f1552,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,X0)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f445,f102]) ).
fof(f1553,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_1,X0)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f445,f100]) ).
fof(f1557,plain,
( ~ sQ79_spl
| ~ sQ87_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f441,f1316]) ).
fof(f1558,plain,
( ~ sQ87_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f441,f114]) ).
fof(f1559,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_1,X0)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f441,f104]) ).
fof(f1560,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_4,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f441,f102]) ).
fof(f1561,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f441,f100]) ).
fof(f1562,plain,
( ~ sQ79_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1557,f83]) ).
fof(f1563,plain,
( ~ sQ79_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f1562]) ).
fof(f1564,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_1,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f438,f104]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_4,X0)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f438,f102]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_3,X0)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f438,f100]) ).
fof(f1570,plain,
( ~ sQ86_spl
| ~ sQ85_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f435,f1566]) ).
fof(f1571,plain,
( ~ sQ73_spl
| ~ sQ85_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f435,f1359]) ).
fof(f1572,plain,
( ~ sQ93_spl
| ~ sQ85_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f435,f1512]) ).
fof(f1573,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,X0)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f435,f104]) ).
fof(f1574,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_4,X0)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f435,f102]) ).
fof(f1575,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_2,X0)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f435,f100]) ).
fof(f1576,plain,
( ~ sQ86_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1570,f85]) ).
fof(f1577,plain,
( ~ sQ86_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1576]) ).
fof(f1578,plain,
( ~ sQ88_spl
| ~ sQ84_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f432,f1551]) ).
fof(f1579,plain,
( ~ sQ84_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f432,f113]) ).
fof(f1580,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_1,X0)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f432,f104]) ).
fof(f1581,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_4,X0)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f432,f102]) ).
fof(f1582,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_1,X0)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f432,f100]) ).
fof(f1583,plain,
( ~ sQ88_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1578,f81]) ).
fof(f1584,plain,
( ~ sQ88_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f1583]) ).
fof(f1585,plain,
( ~ sQ73_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1571,f86]) ).
fof(f1586,plain,
( ~ sQ73_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1585]) ).
fof(f1587,plain,
( ~ sQ59_spl
| ~ sQ127_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f575,f1133]) ).
fof(f1588,plain,
( ~ sQ127_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f575,f113]) ).
fof(f1589,plain,
! [X0] :
( ~ sQ127_spl
| equalish(e_4,X0)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f575,f104]) ).
fof(f1590,plain,
! [X0] :
( ~ sQ127_spl
| equalish(e_1,X0)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f575,f102]) ).
fof(f1591,plain,
! [X0] :
( ~ sQ127_spl
| equalish(e_4,X0)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f575,f100]) ).
fof(f1592,plain,
( ~ sQ59_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1587,f86]) ).
fof(f1593,plain,
( ~ sQ59_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f1592]) ).
fof(f1594,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ126_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f572,f1104]) ).
fof(f1595,plain,
( ~ sQ70_spl
| ~ sQ126_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f572,f1226]) ).
fof(f1596,plain,
! [X0] :
( ~ sQ126_spl
| equalish(e_4,X0)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f572,f104]) ).
fof(f1597,plain,
! [X0] :
( ~ sQ126_spl
| equalish(e_1,X0)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f572,f102]) ).
fof(f1598,plain,
! [X0] :
( ~ sQ126_spl
| equalish(e_3,X0)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f572,f100]) ).
fof(f1599,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1594,f81]) ).
fof(f1600,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f1599]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ125_spl
| equalish(e_4,X0)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f569,f104]) ).
fof(f1602,plain,
! [X0] :
( ~ sQ125_spl
| equalish(e_1,X0)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f569,f102]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ125_spl
| equalish(e_2,X0)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f569,f100]) ).
fof(f1607,plain,
( ~ sQ125_spl
| ~ sQ124_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f566,f1603]) ).
fof(f1608,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ124_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f566,f939]) ).
fof(f1609,plain,
( ~ sQ124_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f566,f114]) ).
fof(f1610,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_4,X0)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f566,f104]) ).
fof(f1611,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f566,f102]) ).
fof(f1612,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f566,f100]) ).
fof(f1613,plain,
( ~ sQ125_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1607,f81]) ).
fof(f1614,plain,
( ~ sQ125_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f1613]) ).
fof(f1615,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1608,f84]) ).
fof(f1616,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f1615]) ).
fof(f1617,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ123_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f562,f1105]) ).
fof(f1618,plain,
( ~ sQ79_spl
| ~ sQ123_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f562,f1315]) ).
fof(f1619,plain,
( ~ sQ123_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f562,f113]) ).
fof(f1620,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_4,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f562,f104]) ).
fof(f1621,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_2,X0)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f562,f102]) ).
fof(f1622,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_4,X0)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f562,f100]) ).
fof(f1623,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1617,f86]) ).
fof(f1624,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f1623]) ).
fof(f1625,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ121_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f556,f1105]) ).
fof(f1626,plain,
( ~ sQ125_spl
| ~ sQ121_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f556,f1602]) ).
fof(f1627,plain,
( ~ sQ121_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f556,f114]) ).
fof(f1628,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_4,X0)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f556,f104]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,X0)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f556,f102]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,X0)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f556,f100]) ).
fof(f1631,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1625,f85]) ).
fof(f1632,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f1631]) ).
fof(f1633,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ120_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f553,f1105]) ).
fof(f1634,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ120_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f553,f939]) ).
fof(f1635,plain,
( ~ sQ52_spl
| ~ sQ120_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f553,f1192]) ).
fof(f1636,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_4,X0)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f553,f104]) ).
fof(f1637,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_2,X0)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f553,f102]) ).
fof(f1638,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_1,X0)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f553,f100]) ).
fof(f1639,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1633,f84]) ).
fof(f1640,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f1639]) ).
fof(f1641,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ119_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f549,f940]) ).
fof(f1642,plain,
( ~ sQ63_spl
| ~ sQ119_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f549,f1265]) ).
fof(f1643,plain,
( ~ sQ119_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f549,f113]) ).
fof(f1644,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_4,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f549,f104]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_3,X0)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f549,f102]) ).
fof(f1646,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_4,X0)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f549,f100]) ).
fof(f1647,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1641,f80]) ).
fof(f1648,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f1647]) ).
fof(f1649,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ118_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f546,f940]) ).
fof(f1650,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ118_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f546,f1104]) ).
fof(f1651,plain,
( ~ sQ118_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f546,f114]) ).
fof(f1652,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,X0)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f546,f104]) ).
fof(f1653,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_3,X0)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f546,f102]) ).
fof(f1654,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_3,X0)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f546,f100]) ).
fof(f1655,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1649,f79]) ).
fof(f1656,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f1655]) ).
fof(f1657,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ117_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f543,f940]) ).
fof(f1658,plain,
( ~ sQ125_spl
| ~ sQ117_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f543,f1602]) ).
fof(f1659,plain,
( ~ sQ73_spl
| ~ sQ117_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f543,f1358]) ).
fof(f1660,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_4,X0)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f543,f104]) ).
fof(f1661,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_3,X0)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f543,f102]) ).
fof(f1662,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_2,X0)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f543,f100]) ).
fof(f1663,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1657,f78]) ).
fof(f1664,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f1663]) ).
fof(f1665,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ114_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f533,f1104]) ).
fof(f1666,plain,
( ~ sQ86_spl
| ~ sQ114_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f533,f1564]) ).
fof(f1667,plain,
( ~ sQ114_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f533,f112]) ).
fof(f1668,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_4,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f533,f104]) ).
fof(f1669,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_4,X0)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f533,f102]) ).
fof(f1670,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_3,X0)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f533,f100]) ).
fof(f1671,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1665,f83]) ).
fof(f1672,plain,
( ~ sQ24_spl
| ~ sQ39_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f1671]) ).
fof(f1673,plain,
( ~ sQ125_spl
| ~ sQ113_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f530,f1602]) ).
fof(f1674,plain,
( ~ sQ93_spl
| ~ sQ113_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f530,f1512]) ).
fof(f1675,plain,
( ~ sQ113_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f530,f112]) ).
fof(f1676,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,X0)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f530,f104]) ).
fof(f1677,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,X0)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f530,f102]) ).
fof(f1678,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_2,X0)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f530,f100]) ).
fof(f1679,plain,
( ~ sQ125_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1673,f80]) ).
fof(f1680,plain,
( ~ sQ125_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f1679]) ).
fof(f1681,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ112_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f527,f939]) ).
fof(f1682,plain,
( ~ sQ88_spl
| ~ sQ112_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f527,f1551]) ).
fof(f1683,plain,
( ~ sQ112_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f527,f112]) ).
fof(f1684,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_4,X0)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f527,f104]) ).
fof(f1685,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_4,X0)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f527,f102]) ).
fof(f1686,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_1,X0)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f527,f100]) ).
fof(f1687,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1681,f86]) ).
fof(f1688,plain,
( ~ sQ21_spl
| ~ sQ35_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f1687]) ).
fof(f1690,plain,
( ~ sQ35_spl
| ~ sQ143_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f631,f934]) ).
fof(f1691,plain,
( ~ sQ143_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f631,f108]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ143_spl
| equalish(e_4,X0)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f631,f96]) ).
fof(f1693,plain,
! [X0] :
( ~ sQ143_spl
| equalish(e_1,X0)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f631,f94]) ).
fof(f1694,plain,
! [X0] :
( ~ sQ143_spl
| equalish(e_4,X0)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f631,f92]) ).
fof(f1695,plain,
! [X0] :
( ~ sQ143_spl
| product2(X0,e_4,e_1)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f631,f107]) ).
fof(f1697,plain,
( ~ sQ35_spl
| ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1690,f83]) ).
fof(f1698,plain,
( ~ sQ35_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f1697]) ).
fof(f1699,plain,
( ~ sQ35_spl
| ~ sQ142_spl
| product2(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f628,f937]) ).
fof(f1700,plain,
! [X0] :
( ~ sQ142_spl
| equalish(e_4,X0)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f628,f96]) ).
fof(f1701,plain,
! [X0] :
( ~ sQ142_spl
| equalish(e_1,X0)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f628,f94]) ).
fof(f1702,plain,
! [X0] :
( ~ sQ142_spl
| equalish(e_3,X0)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f628,f92]) ).
fof(f1703,plain,
! [X0] :
( ~ sQ142_spl
| product2(X0,e_4,e_1)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f628,f107]) ).
fof(f1714,plain,
( ~ sQ142_spl
| ~ sQ141_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f625,f1702]) ).
fof(f1715,plain,
( ~ sQ35_spl
| ~ sQ141_spl
| product2(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f625,f937]) ).
fof(f1716,plain,
( ~ sQ21_spl
| ~ sQ141_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f625,f862]) ).
fof(f1717,plain,
! [X0] :
( ~ sQ141_spl
| equalish(e_4,X0)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f625,f96]) ).
fof(f1718,plain,
! [X0] :
( ~ sQ141_spl
| equalish(e_1,X0)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f625,f94]) ).
fof(f1719,plain,
! [X0] :
( ~ sQ141_spl
| equalish(e_2,X0)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f625,f92]) ).
fof(f1720,plain,
! [X0] :
( ~ sQ141_spl
| product2(X0,e_4,e_1)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f625,f107]) ).
fof(f1721,plain,
( ~ sQ142_spl
| ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1714,f85]) ).
fof(f1722,plain,
( ~ sQ142_spl
| ~ sQ141_spl ),
inference(contradiction_clause,[status(thm)],[f1721]) ).
fof(f1724,plain,
( ~ sQ140_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f622,f111]) ).
fof(f1725,plain,
! [X0] :
( ~ sQ140_spl
| equalish(e_4,X0)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f622,f96]) ).
fof(f1726,plain,
! [X0] :
( ~ sQ140_spl
| equalish(e_1,X0)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f622,f94]) ).
fof(f1727,plain,
! [X0] :
( ~ sQ140_spl
| equalish(e_1,X0)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f622,f92]) ).
fof(f1728,plain,
! [X0] :
( ~ sQ140_spl
| product2(X0,e_4,e_1)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f622,f107]) ).
fof(f1730,plain,
( ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1724,f80]) ).
fof(f1731,plain,
~ sQ140_spl,
inference(contradiction_clause,[status(thm)],[f1730]) ).
fof(f1732,plain,
( ~ sQ35_spl
| ~ sQ141_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1715,f347,f624,f243]) ).
fof(f1733,plain,
( ~ sQ21_spl
| ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1716,f86]) ).
fof(f1734,plain,
( ~ sQ21_spl
| ~ sQ141_spl ),
inference(contradiction_clause,[status(thm)],[f1733]) ).
fof(f1735,plain,
( ~ sQ21_spl
| ~ sQ142_spl
| product2(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1703,f196]) ).
fof(f1739,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ142_spl
| equalish(e_3,X0)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1699,f104]) ).
fof(f1740,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ142_spl
| equalish(e_2,X0)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1699,f102]) ).
fof(f1741,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ142_spl
| equalish(e_1,X0)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1699,f100]) ).
fof(f1744,plain,
( ~ sQ139_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f618,f108]) ).
fof(f1745,plain,
! [X0] :
( ~ sQ139_spl
| equalish(e_4,X0)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f618,f96]) ).
fof(f1746,plain,
! [X0] :
( ~ sQ139_spl
| equalish(e_2,X0)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f618,f94]) ).
fof(f1747,plain,
! [X0] :
( ~ sQ139_spl
| equalish(e_4,X0)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f618,f92]) ).
fof(f1748,plain,
! [X0] :
( ~ sQ139_spl
| product2(X0,e_4,e_2)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f618,f107]) ).
fof(f1752,plain,
( ~ sQ19_spl
| ~ sQ138_spl
| product2(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f615,f876]) ).
fof(f1753,plain,
( ~ sQ142_spl
| ~ sQ138_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f615,f1701]) ).
fof(f1754,plain,
( ~ sQ42_spl
| ~ sQ138_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f615,f1076]) ).
fof(f1755,plain,
! [X0] :
( ~ sQ138_spl
| equalish(e_4,X0)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f615,f96]) ).
fof(f1756,plain,
! [X0] :
( ~ sQ138_spl
| equalish(e_2,X0)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f615,f94]) ).
fof(f1757,plain,
! [X0] :
( ~ sQ138_spl
| equalish(e_3,X0)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f615,f92]) ).
fof(f1758,plain,
! [X0] :
( ~ sQ138_spl
| product2(X0,e_4,e_2)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f615,f107]) ).
fof(f1759,plain,
( ~ sQ142_spl
| ~ sQ138_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1753,f78]) ).
fof(f1760,plain,
( ~ sQ142_spl
| ~ sQ138_spl ),
inference(contradiction_clause,[status(thm)],[f1759]) ).
fof(f1762,plain,
( ~ sQ137_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f612,f111]) ).
fof(f1763,plain,
! [X0] :
( ~ sQ137_spl
| equalish(e_4,X0)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f612,f96]) ).
fof(f1764,plain,
! [X0] :
( ~ sQ137_spl
| equalish(e_2,X0)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f612,f94]) ).
fof(f1765,plain,
! [X0] :
( ~ sQ137_spl
| equalish(e_2,X0)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f612,f92]) ).
fof(f1766,plain,
! [X0] :
( ~ sQ137_spl
| product2(X0,e_4,e_2)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f612,f107]) ).
fof(f1768,plain,
( ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1762,f83]) ).
fof(f1769,plain,
~ sQ137_spl,
inference(contradiction_clause,[status(thm)],[f1768]) ).
fof(f1770,plain,
( ~ sQ19_spl
| ~ sQ136_spl
| product2(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f609,f876]) ).
fof(f1771,plain,
! [X0] :
( ~ sQ136_spl
| equalish(e_4,X0)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f609,f96]) ).
fof(f1772,plain,
! [X0] :
( ~ sQ136_spl
| equalish(e_2,X0)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f609,f94]) ).
fof(f1773,plain,
! [X0] :
( ~ sQ136_spl
| equalish(e_1,X0)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f609,f92]) ).
fof(f1774,plain,
! [X0] :
( ~ sQ136_spl
| product2(X0,e_4,e_2)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f609,f107]) ).
fof(f1779,plain,
( ~ sQ39_spl
| ~ sQ135_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f605,f1099]) ).
fof(f1780,plain,
( ~ sQ135_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f605,f108]) ).
fof(f1781,plain,
! [X0] :
( ~ sQ135_spl
| equalish(e_4,X0)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f605,f96]) ).
fof(f1782,plain,
! [X0] :
( ~ sQ135_spl
| equalish(e_3,X0)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f605,f94]) ).
fof(f1783,plain,
! [X0] :
( ~ sQ135_spl
| equalish(e_4,X0)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f605,f92]) ).
fof(f1784,plain,
! [X0] :
( ~ sQ135_spl
| product2(X0,e_4,e_3)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f605,f107]) ).
fof(f1786,plain,
( ~ sQ39_spl
| ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1779,f80]) ).
fof(f1787,plain,
( ~ sQ39_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f1786]) ).
fof(f1788,plain,
( ~ sQ39_spl
| ~ sQ134_spl
| product2(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f602,f1102]) ).
fof(f1789,plain,
( ~ sQ142_spl
| ~ sQ134_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f602,f1701]) ).
fof(f1790,plain,
( ~ sQ134_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f602,f111]) ).
fof(f1791,plain,
! [X0] :
( ~ sQ134_spl
| equalish(e_4,X0)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f602,f96]) ).
fof(f1792,plain,
! [X0] :
( ~ sQ134_spl
| equalish(e_3,X0)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f602,f94]) ).
fof(f1793,plain,
! [X0] :
( ~ sQ134_spl
| equalish(e_3,X0)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f602,f92]) ).
fof(f1794,plain,
! [X0] :
( ~ sQ134_spl
| product2(X0,e_4,e_3)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f602,f107]) ).
fof(f1795,plain,
( ~ sQ39_spl
| ~ sQ134_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f1788,f324,f601,f259]) ).
fof(f1796,plain,
( ~ sQ142_spl
| ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1789,f79]) ).
fof(f1797,plain,
( ~ sQ142_spl
| ~ sQ134_spl ),
inference(contradiction_clause,[status(thm)],[f1796]) ).
fof(f1798,plain,
( ~ sQ39_spl
| ~ sQ133_spl
| product2(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f599,f1102]) ).
fof(f1799,plain,
! [X0] :
( ~ sQ133_spl
| equalish(e_4,X0)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f599,f96]) ).
fof(f1800,plain,
! [X0] :
( ~ sQ133_spl
| equalish(e_3,X0)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f599,f94]) ).
fof(f1801,plain,
! [X0] :
( ~ sQ133_spl
| equalish(e_2,X0)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f599,f92]) ).
fof(f1802,plain,
! [X0] :
( ~ sQ133_spl
| product2(X0,e_4,e_3)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f599,f107]) ).
fof(f1803,plain,
( ~ sQ24_spl
| ~ sQ133_spl
| product2(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1802,f209]) ).
fof(f1807,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ133_spl
| equalish(e_2,X0)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1798,f104]) ).
fof(f1808,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ133_spl
| equalish(e_1,X0)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1798,f102]) ).
fof(f1809,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ133_spl
| equalish(e_3,X0)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1798,f100]) ).
fof(f1813,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ133_spl
| equalish(e_1,X0)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1803,f104]) ).
fof(f1814,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ133_spl
| equalish(e_4,X0)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1803,f102]) ).
fof(f1815,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ133_spl
| equalish(e_3,X0)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1803,f100]) ).
fof(f1819,plain,
( ~ sQ133_spl
| ~ sQ132_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f596,f1801]) ).
fof(f1820,plain,
( ~ sQ39_spl
| ~ sQ132_spl
| product2(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f596,f1102]) ).
fof(f1821,plain,
( ~ sQ136_spl
| ~ sQ132_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f596,f1772]) ).
fof(f1822,plain,
( ~ sQ24_spl
| ~ sQ132_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f596,f1032]) ).
fof(f1823,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_4,X0)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f596,f96]) ).
fof(f1824,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_3,X0)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f596,f94]) ).
fof(f1825,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_1,X0)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f596,f92]) ).
fof(f1826,plain,
! [X0] :
( ~ sQ132_spl
| product2(X0,e_4,e_3)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f596,f107]) ).
fof(f1827,plain,
( ~ sQ133_spl
| ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1819,f81]) ).
fof(f1828,plain,
( ~ sQ133_spl
| ~ sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f1827]) ).
fof(f1829,plain,
( ~ sQ39_spl
| ~ sQ132_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1820,f408,f595,f259]) ).
fof(f1830,plain,
( ~ sQ136_spl
| ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1821,f82]) ).
fof(f1831,plain,
( ~ sQ136_spl
| ~ sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f1830]) ).
fof(f1832,plain,
( ~ sQ24_spl
| ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1822,f83]) ).
fof(f1833,plain,
( ~ sQ24_spl
| ~ sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f1832]) ).
fof(f1834,plain,
( sQ52_spl
| ~ sQ35_spl
| ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f307,f1699]) ).
fof(f1835,plain,
( sQ52_spl
| ~ sQ35_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f1834]) ).
fof(f1836,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1483,f80]) ).
fof(f1837,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f1836]) ).
fof(f1838,plain,
( ~ sQ139_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1744,f88]) ).
fof(f1839,plain,
~ sQ139_spl,
inference(contradiction_clause,[status(thm)],[f1838]) ).
fof(f1841,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ142_spl
| equalish(e_2,X0)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1735,f104]) ).
fof(f1842,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ142_spl
| equalish(e_4,X0)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1735,f102]) ).
fof(f1843,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ142_spl
| equalish(e_1,X0)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1735,f100]) ).
fof(f1853,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ102_spl
| equalish(e_1,X0)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1406,f104]) ).
fof(f1854,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ102_spl
| equalish(e_2,X0)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1406,f102]) ).
fof(f1855,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ102_spl
| equalish(e_4,X0)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1406,f100]) ).
fof(f1859,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ97_spl
| equalish(e_2,X0)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1466,f104]) ).
fof(f1860,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ97_spl
| equalish(e_3,X0)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1466,f102]) ).
fof(f1861,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ97_spl
| equalish(e_4,X0)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1466,f100]) ).
fof(f1874,plain,
( ~ sQ142_spl
| ~ sQ130_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f589,f1701]) ).
fof(f1875,plain,
( ~ sQ102_spl
| ~ sQ130_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f589,f1402]) ).
fof(f1876,plain,
( ~ sQ130_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f589,f109]) ).
fof(f1877,plain,
( ~ sQ130_spl
| product2(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f589,f110]) ).
fof(f1878,plain,
! [X0] :
( ~ sQ130_spl
| equalish(e_4,X0)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f589,f96]) ).
fof(f1879,plain,
! [X0] :
( ~ sQ130_spl
| equalish(e_4,X0)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f589,f94]) ).
fof(f1880,plain,
! [X0] :
( ~ sQ130_spl
| equalish(e_3,X0)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f589,f92]) ).
fof(f1881,plain,
! [X0] :
( ~ sQ130_spl
| product2(X0,e_4,e_4)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f589,f107]) ).
fof(f1882,plain,
( ~ sQ142_spl
| ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1874,f80]) ).
fof(f1883,plain,
( ~ sQ142_spl
| ~ sQ130_spl ),
inference(contradiction_clause,[status(thm)],[f1882]) ).
fof(f1884,plain,
( ~ sQ133_spl
| ~ sQ129_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f586,f1800]) ).
fof(f1885,plain,
( ~ sQ129_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f586,f109]) ).
fof(f1886,plain,
( ~ sQ129_spl
| product2(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f586,f110]) ).
fof(f1887,plain,
! [X0] :
( ~ sQ129_spl
| equalish(e_4,X0)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f586,f96]) ).
fof(f1888,plain,
! [X0] :
( ~ sQ129_spl
| equalish(e_4,X0)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f586,f94]) ).
fof(f1889,plain,
! [X0] :
( ~ sQ129_spl
| equalish(e_2,X0)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f586,f92]) ).
fof(f1890,plain,
! [X0] :
( ~ sQ129_spl
| product2(X0,e_4,e_4)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f586,f107]) ).
fof(f1891,plain,
( ~ sQ133_spl
| ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1884,f86]) ).
fof(f1892,plain,
( ~ sQ133_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f1891]) ).
fof(f1893,plain,
( ~ sQ128_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f583,f109]) ).
fof(f1894,plain,
( ~ sQ128_spl
| product2(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f583,f110]) ).
fof(f1895,plain,
! [X0] :
( ~ sQ128_spl
| equalish(e_4,X0)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f583,f96]) ).
fof(f1896,plain,
! [X0] :
( ~ sQ128_spl
| equalish(e_4,X0)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f583,f94]) ).
fof(f1897,plain,
! [X0] :
( ~ sQ128_spl
| equalish(e_1,X0)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f583,f92]) ).
fof(f1898,plain,
! [X0] :
( ~ sQ128_spl
| product2(X0,e_4,e_4)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f583,f107]) ).
fof(f1899,plain,
( ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1893,f87]) ).
fof(f1900,plain,
~ sQ128_spl,
inference(contradiction_clause,[status(thm)],[f1899]) ).
fof(f1901,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ149_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f661,f125]) ).
fof(f1902,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ149_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f661,f138]) ).
fof(f1903,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ149_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f661,f151]) ).
fof(f1904,plain,
! [X0] :
( ~ sQ149_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f661,f66]) ).
fof(f1905,definition,
( sQ174_spl
<=> next(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1907,plain,
( sQ174_spl
| ~ next(e_1,e_3) ),
inference(component_clause,[status(thm)],[f1905]) ).
fof(f1908,definition,
! [X0] :
( sQ175_spl
<=> ( equalish(e_3,X0)
| ~ next(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1909,plain,
! [X0] :
( ~ sQ175_spl
| equalish(e_3,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f1908]) ).
fof(f1911,plain,
( ~ sQ2_spl
| ~ sQ149_spl
| sQ175_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f1901,f1905,f1908,f660,f124]) ).
fof(f1912,definition,
( sQ176_spl
<=> next(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1914,plain,
( sQ176_spl
| ~ next(e_1,e_2) ),
inference(component_clause,[status(thm)],[f1912]) ).
fof(f1915,plain,
( ~ sQ6_spl
| ~ sQ149_spl
| sQ175_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1902,f1912,f1908,f660,f137]) ).
fof(f1916,definition,
( sQ177_spl
<=> next(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1918,plain,
( sQ177_spl
| ~ next(e_1,e_1) ),
inference(component_clause,[status(thm)],[f1916]) ).
fof(f1919,plain,
( ~ sQ10_spl
| ~ sQ149_spl
| sQ175_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f1903,f1916,f1908,f660,f150]) ).
fof(f1920,definition,
( sQ178_spl
<=> next(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1922,plain,
( sQ178_spl
| ~ next(e_1,e_4) ),
inference(component_clause,[status(thm)],[f1920]) ).
fof(f1923,definition,
! [X0] :
( sQ179_spl
<=> ( equalish(e_3,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1924,plain,
! [X0] :
( ~ sQ179_spl
| equalish(e_3,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f1923]) ).
fof(f1926,plain,
( ~ sQ149_spl
| sQ179_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f1904,f1920,f1923,f660]) ).
fof(f1927,plain,
( sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1914,f50]) ).
fof(f1928,plain,
sQ176_spl,
inference(contradiction_clause,[status(thm)],[f1927]) ).
fof(f1929,plain,
! [X0] :
( ~ sQ149_spl
| ~ sQ1_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f122,f661]) ).
fof(f1934,definition,
! [X0] :
( sQ180_spl
<=> ( equalish(e_3,X0)
| ~ next(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1935,plain,
! [X0] :
( ~ sQ180_spl
| equalish(e_3,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f1934]) ).
fof(f1937,plain,
( ~ sQ149_spl
| ~ sQ1_spl
| sQ180_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f1929,f1905,f1934,f121,f660]) ).
fof(f1940,plain,
! [X0] :
( ~ sQ149_spl
| ~ sQ5_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f135,f661]) ).
fof(f1942,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)],[f135,f70]) ).
fof(f1944,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f135,f64]) ).
fof(f1945,plain,
( ~ sQ149_spl
| ~ sQ5_spl
| sQ180_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1940,f1912,f1934,f134,f660]) ).
fof(f1948,plain,
! [X0] :
( ~ sQ149_spl
| ~ sQ9_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f148,f661]) ).
fof(f1953,plain,
( ~ sQ149_spl
| ~ sQ9_spl
| sQ180_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f1948,f1916,f1934,f147,f660]) ).
fof(f1957,plain,
! [X0] :
( ~ sQ149_spl
| ~ sQ0_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f119,f661]) ).
fof(f1963,plain,
( ~ sQ149_spl
| ~ sQ0_spl
| sQ179_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f1957,f1905,f1923,f118,f660]) ).
fof(f1966,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)],[f132,f643]) ).
fof(f1967,plain,
! [X0] :
( ~ sQ149_spl
| ~ sQ4_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f132,f661]) ).
fof(f1969,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)],[f132,f70]) ).
fof(f1972,definition,
! [X0,X1] :
( sQ181_spl
<=> ( ~ greater(e_0,X1)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1973,plain,
! [X0,X1] :
( ~ sQ181_spl
| ~ greater(e_0,X1)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f1972]) ).
fof(f1975,definition,
( sQ182_spl
<=> greater(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1977,plain,
( sQ182_spl
| ~ greater(e_2,e_4) ),
inference(component_clause,[status(thm)],[f1975]) ).
fof(f1978,plain,
( ~ sQ4_spl
| ~ sQ182_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1966,f1972,f1975,f131]) ).
fof(f1979,plain,
( ~ sQ149_spl
| ~ sQ4_spl
| sQ179_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1967,f1912,f1923,f131,f660]) ).
fof(f1982,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)],[f145,f643]) ).
fof(f1983,plain,
! [X0] :
( ~ sQ149_spl
| ~ sQ8_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f145,f661]) ).
fof(f1988,definition,
! [X0,X1] :
( sQ183_spl
<=> ( ~ greater(e_0,X1)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1989,plain,
! [X0,X1] :
( ~ sQ183_spl
| ~ greater(e_0,X1)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f1988]) ).
fof(f1991,definition,
( sQ184_spl
<=> greater(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1993,plain,
( sQ184_spl
| ~ greater(e_1,e_4) ),
inference(component_clause,[status(thm)],[f1991]) ).
fof(f1994,plain,
( ~ sQ8_spl
| ~ sQ184_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1982,f1988,f1991,f144]) ).
fof(f1995,plain,
( ~ sQ149_spl
| ~ sQ8_spl
| sQ179_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f1983,f1916,f1923,f144,f660]) ).
fof(f1998,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ151_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f675,f145]) ).
fof(f1999,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ151_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f675,f132]) ).
fof(f2000,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ151_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f675,f119]) ).
fof(f2001,plain,
! [X0] :
( ~ sQ151_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f675,f66]) ).
fof(f2002,definition,
! [X0] :
( sQ185_spl
<=> ( equalish(e_2,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f2003,plain,
! [X0] :
( ~ sQ185_spl
| equalish(e_2,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f2002]) ).
fof(f2005,plain,
( ~ sQ8_spl
| ~ sQ151_spl
| sQ185_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f1998,f1916,f2002,f674,f144]) ).
fof(f2006,plain,
( ~ sQ4_spl
| ~ sQ151_spl
| sQ185_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f1999,f1912,f2002,f674,f131]) ).
fof(f2007,plain,
( ~ sQ0_spl
| ~ sQ151_spl
| sQ185_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f2000,f1905,f2002,f674,f118]) ).
fof(f2008,plain,
( ~ sQ151_spl
| sQ185_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f2001,f1920,f2002,f674]) ).
fof(f2009,plain,
! [X0] :
( ~ sQ151_spl
| ~ sQ10_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f151,f675]) ).
fof(f2012,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)],[f151,f70]) ).
fof(f2014,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,X0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f151,f64]) ).
fof(f2015,definition,
! [X0] :
( sQ186_spl
<=> ( equalish(e_2,X0)
| ~ next(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f2016,plain,
! [X0] :
( ~ sQ186_spl
| equalish(e_2,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f2015]) ).
fof(f2018,plain,
( ~ sQ151_spl
| ~ sQ10_spl
| sQ186_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f2009,f1916,f2015,f150,f674]) ).
fof(f2022,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ153_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f689,f151]) ).
fof(f2023,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ153_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f689,f132]) ).
fof(f2024,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ153_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f689,f119]) ).
fof(f2025,plain,
! [X0] :
( ~ sQ153_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f689,f66]) ).
fof(f2026,definition,
! [X0] :
( sQ187_spl
<=> ( equalish(e_1,X0)
| ~ next(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f2027,plain,
! [X0] :
( ~ sQ187_spl
| equalish(e_1,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f2026]) ).
fof(f2029,plain,
( ~ sQ10_spl
| ~ sQ153_spl
| sQ187_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f2022,f1916,f2026,f688,f150]) ).
fof(f2030,definition,
! [X0] :
( sQ188_spl
<=> ( equalish(e_1,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f2031,plain,
! [X0] :
( ~ sQ188_spl
| equalish(e_1,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f2030]) ).
fof(f2033,plain,
( ~ sQ4_spl
| ~ sQ153_spl
| sQ188_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f2023,f1912,f2030,f688,f131]) ).
fof(f2034,plain,
( ~ sQ0_spl
| ~ sQ153_spl
| sQ188_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f2024,f1905,f2030,f688,f118]) ).
fof(f2035,plain,
( ~ sQ153_spl
| sQ188_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f2025,f1920,f2030,f688]) ).
fof(f2036,plain,
! [X0] :
( ~ sQ153_spl
| ~ sQ5_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f135,f689]) ).
fof(f2037,plain,
! [X0] :
( ~ sQ151_spl
| ~ sQ5_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f135,f675]) ).
fof(f2040,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)],[f135,f70]) ).
fof(f2042,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f135,f64]) ).
fof(f2043,definition,
! [X0] :
( sQ189_spl
<=> ( equalish(e_1,X0)
| ~ next(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f2044,plain,
! [X0] :
( ~ sQ189_spl
| equalish(e_1,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f2043]) ).
fof(f2046,plain,
( ~ sQ153_spl
| ~ sQ5_spl
| sQ189_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f2036,f1912,f2043,f134,f688]) ).
fof(f2047,definition,
! [X0] :
( sQ190_spl
<=> ( equalish(e_2,X0)
| ~ next(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f2048,plain,
! [X0] :
( ~ sQ190_spl
| equalish(e_2,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f2047]) ).
fof(f2050,plain,
( ~ sQ151_spl
| ~ sQ5_spl
| sQ190_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f2037,f1912,f2047,f134,f674]) ).
fof(f2054,plain,
! [X0] :
( ~ sQ153_spl
| ~ sQ9_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f148,f689]) ).
fof(f2055,plain,
! [X0] :
( ~ sQ151_spl
| ~ sQ9_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f148,f675]) ).
fof(f2061,plain,
( ~ sQ153_spl
| ~ sQ9_spl
| sQ189_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f2054,f1916,f2043,f147,f688]) ).
fof(f2062,plain,
( ~ sQ151_spl
| ~ sQ9_spl
| sQ190_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f2055,f1916,f2047,f147,f674]) ).
fof(f2066,plain,
! [X0] :
( ~ sQ153_spl
| ~ sQ6_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f138,f689]) ).
fof(f2067,plain,
! [X0] :
( ~ sQ151_spl
| ~ sQ6_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f138,f675]) ).
fof(f2070,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)],[f138,f70]) ).
fof(f2072,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f138,f64]) ).
fof(f2073,plain,
( ~ sQ153_spl
| ~ sQ6_spl
| sQ187_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f2066,f1912,f2026,f137,f688]) ).
fof(f2074,plain,
( ~ sQ151_spl
| ~ sQ6_spl
| sQ186_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f2067,f1912,f2015,f137,f674]) ).
fof(f2098,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ154_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f700,f132]) ).
fof(f2099,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ154_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f700,f145]) ).
fof(f2100,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ154_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f700,f119]) ).
fof(f2101,plain,
! [X0] :
( ~ sQ154_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f700,f66]) ).
fof(f2102,plain,
( ~ sQ4_spl
| ~ sQ154_spl
| sQ166_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f2098,f1912,f786,f699,f131]) ).
fof(f2103,plain,
( ~ sQ8_spl
| ~ sQ154_spl
| sQ166_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f2099,f1916,f786,f699,f144]) ).
fof(f2104,plain,
( ~ sQ0_spl
| ~ sQ154_spl
| sQ166_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f2100,f1905,f786,f699,f118]) ).
fof(f2105,plain,
( ~ sQ154_spl
| sQ166_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f2101,f1920,f786,f699]) ).
fof(f2106,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ156_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f712,f132]) ).
fof(f2107,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ156_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f712,f145]) ).
fof(f2108,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ156_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f712,f119]) ).
fof(f2109,plain,
! [X0] :
( ~ sQ156_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f712,f66]) ).
fof(f2110,definition,
( sQ191_spl
<=> next(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f2112,plain,
( sQ191_spl
| ~ next(e_2,e_2) ),
inference(component_clause,[status(thm)],[f2110]) ).
fof(f2113,plain,
( ~ sQ4_spl
| ~ sQ156_spl
| sQ179_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f2106,f2110,f1923,f711,f131]) ).
fof(f2114,definition,
( sQ192_spl
<=> next(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f2116,plain,
( sQ192_spl
| ~ next(e_2,e_1) ),
inference(component_clause,[status(thm)],[f2114]) ).
fof(f2117,plain,
( ~ sQ8_spl
| ~ sQ156_spl
| sQ179_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f2107,f2114,f1923,f711,f144]) ).
fof(f2118,definition,
( sQ193_spl
<=> next(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f2120,plain,
( sQ193_spl
| ~ next(e_2,e_3) ),
inference(component_clause,[status(thm)],[f2118]) ).
fof(f2121,plain,
( ~ sQ0_spl
| ~ sQ156_spl
| sQ179_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f2108,f2118,f1923,f711,f118]) ).
fof(f2122,definition,
( sQ194_spl
<=> next(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f2124,plain,
( sQ194_spl
| ~ next(e_2,e_4) ),
inference(component_clause,[status(thm)],[f2122]) ).
fof(f2125,plain,
( ~ sQ156_spl
| sQ179_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f2109,f2122,f1923,f711]) ).
fof(f2126,plain,
( sQ193_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2120,f51]) ).
fof(f2127,plain,
sQ193_spl,
inference(contradiction_clause,[status(thm)],[f2126]) ).
fof(f2128,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ157_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f721,f132]) ).
fof(f2129,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ157_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f721,f145]) ).
fof(f2130,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ157_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f721,f119]) ).
fof(f2131,plain,
! [X0] :
( ~ sQ157_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f721,f66]) ).
fof(f2132,plain,
( ~ sQ4_spl
| ~ sQ157_spl
| sQ185_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f2128,f2110,f2002,f720,f131]) ).
fof(f2133,plain,
( ~ sQ8_spl
| ~ sQ157_spl
| sQ185_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f2129,f2114,f2002,f720,f144]) ).
fof(f2134,plain,
( ~ sQ0_spl
| ~ sQ157_spl
| sQ185_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f2130,f2118,f2002,f720,f118]) ).
fof(f2135,plain,
( ~ sQ157_spl
| sQ185_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f2131,f2122,f2002,f720]) ).
fof(f2136,plain,
! [X0] :
( ~ sQ156_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f151,f712]) ).
fof(f2139,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)],[f151,f70]) ).
fof(f2141,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,X0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f151,f64]) ).
fof(f2142,plain,
( ~ sQ156_spl
| ~ sQ10_spl
| sQ175_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f2136,f2114,f1908,f150,f711]) ).
fof(f2146,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ158_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f730,f151]) ).
fof(f2147,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ158_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f730,f132]) ).
fof(f2148,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ158_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f730,f119]) ).
fof(f2149,plain,
! [X0] :
( ~ sQ158_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f730,f66]) ).
fof(f2150,plain,
( ~ sQ10_spl
| ~ sQ158_spl
| sQ187_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f2146,f2114,f2026,f729,f150]) ).
fof(f2151,plain,
( ~ sQ4_spl
| ~ sQ158_spl
| sQ188_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f2147,f2110,f2030,f729,f131]) ).
fof(f2152,plain,
( ~ sQ0_spl
| ~ sQ158_spl
| sQ188_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f2148,f2118,f2030,f729,f118]) ).
fof(f2153,plain,
( ~ sQ158_spl
| sQ188_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f2149,f2122,f2030,f729]) ).
fof(f2154,plain,
! [X0] :
( ~ sQ156_spl
| ~ sQ6_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f138,f712]) ).
fof(f2157,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)],[f138,f70]) ).
fof(f2159,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f138,f64]) ).
fof(f2160,plain,
( ~ sQ156_spl
| ~ sQ6_spl
| sQ175_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f2154,f2110,f1908,f137,f711]) ).
fof(f2164,plain,
! [X0] :
( ~ sQ156_spl
| ~ sQ1_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f122,f712]) ).
fof(f2170,plain,
( ~ sQ156_spl
| ~ sQ1_spl
| sQ180_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f2164,f2118,f1934,f121,f711]) ).
fof(f2186,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ159_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f739,f119]) ).
fof(f2187,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ159_spl
| equalish(e_0,X0)
| ~ next(e_2,X0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f739,f138]) ).
fof(f2188,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ159_spl
| equalish(e_0,X0)
| ~ next(e_2,X0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f739,f151]) ).
fof(f2189,plain,
! [X0] :
( ~ sQ159_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f739,f66]) ).
fof(f2190,plain,
( ~ sQ0_spl
| ~ sQ159_spl
| sQ166_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f2186,f2118,f786,f738,f118]) ).
fof(f2191,definition,
! [X0] :
( sQ195_spl
<=> ( equalish(e_0,X0)
| ~ next(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f2192,plain,
! [X0] :
( ~ sQ195_spl
| equalish(e_0,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f2191]) ).
fof(f2194,plain,
( ~ sQ6_spl
| ~ sQ159_spl
| sQ195_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f2187,f2110,f2191,f738,f137]) ).
fof(f2195,plain,
( ~ sQ10_spl
| ~ sQ159_spl
| sQ195_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f2188,f2114,f2191,f738,f150]) ).
fof(f2196,plain,
( ~ sQ159_spl
| sQ166_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f2189,f2122,f786,f738]) ).
fof(f2209,plain,
! [X0] :
( ~ sQ156_spl
| ~ sQ5_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f135,f712]) ).
fof(f2212,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)],[f135,f70]) ).
fof(f2214,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f135,f64]) ).
fof(f2215,plain,
( ~ sQ156_spl
| ~ sQ5_spl
| sQ180_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f2209,f2110,f1934,f134,f711]) ).
fof(f2229,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ161_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f751,f122]) ).
fof(f2230,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ161_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f751,f135]) ).
fof(f2231,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ161_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f751,f145]) ).
fof(f2232,plain,
! [X0] :
( ~ sQ161_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f751,f66]) ).
fof(f2233,definition,
( sQ196_spl
<=> next(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f2235,plain,
( sQ196_spl
| ~ next(e_3,e_3) ),
inference(component_clause,[status(thm)],[f2233]) ).
fof(f2236,plain,
( ~ sQ1_spl
| ~ sQ161_spl
| sQ180_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f2229,f2233,f1934,f750,f121]) ).
fof(f2237,definition,
( sQ197_spl
<=> next(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f2239,plain,
( sQ197_spl
| ~ next(e_3,e_2) ),
inference(component_clause,[status(thm)],[f2237]) ).
fof(f2240,plain,
( ~ sQ5_spl
| ~ sQ161_spl
| sQ180_spl
| ~ sQ197_spl ),
inference(split_clause,[status(thm)],[f2230,f2237,f1934,f750,f134]) ).
fof(f2241,definition,
( sQ198_spl
<=> next(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f2243,plain,
( sQ198_spl
| ~ next(e_3,e_1) ),
inference(component_clause,[status(thm)],[f2241]) ).
fof(f2244,plain,
( ~ sQ8_spl
| ~ sQ161_spl
| sQ179_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f2231,f2241,f1923,f750,f144]) ).
fof(f2245,definition,
( sQ199_spl
<=> next(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f2247,plain,
( sQ199_spl
| ~ next(e_3,e_4) ),
inference(component_clause,[status(thm)],[f2245]) ).
fof(f2248,plain,
( ~ sQ161_spl
| sQ179_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f2232,f2245,f1923,f750]) ).
fof(f2249,plain,
( sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2247,f52]) ).
fof(f2250,plain,
sQ199_spl,
inference(contradiction_clause,[status(thm)],[f2249]) ).
fof(f2251,plain,
! [X0] :
( ~ sQ161_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f151,f751]) ).
fof(f2255,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)],[f151,f70]) ).
fof(f2257,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_2,X0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f151,f64]) ).
fof(f2258,plain,
( ~ sQ161_spl
| ~ sQ10_spl
| sQ175_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f2251,f2241,f1908,f150,f750]) ).
fof(f2263,plain,
! [X0] :
( ~ sQ161_spl
| ~ sQ9_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f148,f751]) ).
fof(f2264,plain,
! [X0] :
( ~ sQ156_spl
| ~ sQ9_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f148,f712]) ).
fof(f2270,plain,
( ~ sQ161_spl
| ~ sQ9_spl
| sQ180_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f2263,f2241,f1934,f147,f750]) ).
fof(f2271,plain,
( ~ sQ156_spl
| ~ sQ9_spl
| sQ180_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f2264,f2114,f1934,f147,f711]) ).
fof(f2275,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ162_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f760,f148]) ).
fof(f2276,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ162_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f760,f122]) ).
fof(f2277,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ162_spl
| equalish(e_3,X0)
| ~ next(e_1,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f760,f135]) ).
fof(f2278,plain,
! [X0] :
( ~ sQ162_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f760,f66]) ).
fof(f2279,definition,
( sQ200_spl
<=> next(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f2281,plain,
( sQ200_spl
| ~ next(e_4,e_1) ),
inference(component_clause,[status(thm)],[f2279]) ).
fof(f2282,plain,
( ~ sQ9_spl
| ~ sQ162_spl
| sQ180_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f2275,f2279,f1934,f759,f147]) ).
fof(f2283,definition,
( sQ201_spl
<=> next(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f2285,plain,
( sQ201_spl
| ~ next(e_4,e_3) ),
inference(component_clause,[status(thm)],[f2283]) ).
fof(f2286,plain,
( ~ sQ1_spl
| ~ sQ162_spl
| sQ180_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2276,f2283,f1934,f759,f121]) ).
fof(f2287,definition,
( sQ202_spl
<=> next(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f2289,plain,
( sQ202_spl
| ~ next(e_4,e_2) ),
inference(component_clause,[status(thm)],[f2287]) ).
fof(f2290,plain,
( ~ sQ5_spl
| ~ sQ162_spl
| sQ180_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2277,f2287,f1934,f759,f134]) ).
fof(f2291,plain,
( ~ sQ162_spl
| sQ179_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f2278,f783,f1923,f759]) ).
fof(f2293,plain,
! [X0] :
( ~ sQ162_spl
| ~ sQ0_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f119,f760]) ).
fof(f2294,plain,
! [X0] :
( ~ sQ161_spl
| ~ sQ0_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f119,f751]) ).
fof(f2302,plain,
( ~ sQ162_spl
| ~ sQ0_spl
| sQ179_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2293,f2283,f1923,f118,f759]) ).
fof(f2303,plain,
( ~ sQ161_spl
| ~ sQ0_spl
| sQ179_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f2294,f2233,f1923,f118,f750]) ).
fof(f2309,plain,
! [X0] :
( ~ sQ162_spl
| ~ sQ4_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f132,f760]) ).
fof(f2310,plain,
! [X0] :
( ~ sQ161_spl
| ~ sQ4_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f132,f751]) ).
fof(f2318,plain,
( ~ sQ162_spl
| ~ sQ4_spl
| sQ179_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2309,f2287,f1923,f131,f759]) ).
fof(f2319,plain,
( ~ sQ161_spl
| ~ sQ4_spl
| sQ179_spl
| ~ sQ197_spl ),
inference(split_clause,[status(thm)],[f2310,f2237,f1923,f131,f750]) ).
fof(f2325,plain,
! [X0] :
( ~ sQ162_spl
| ~ sQ8_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f145,f760]) ).
fof(f2334,plain,
( ~ sQ162_spl
| ~ sQ8_spl
| sQ179_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f2325,f2279,f1923,f144,f759]) ).
fof(f2340,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ163_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f769,f145]) ).
fof(f2341,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ163_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f769,f132]) ).
fof(f2342,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ163_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f769,f119]) ).
fof(f2343,plain,
! [X0] :
( ~ sQ163_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f769,f66]) ).
fof(f2344,plain,
( ~ sQ8_spl
| ~ sQ163_spl
| sQ185_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f2340,f2279,f2002,f768,f144]) ).
fof(f2345,plain,
( ~ sQ4_spl
| ~ sQ163_spl
| sQ185_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2341,f2287,f2002,f768,f131]) ).
fof(f2346,plain,
( ~ sQ0_spl
| ~ sQ163_spl
| sQ185_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2342,f2283,f2002,f768,f118]) ).
fof(f2347,plain,
( ~ sQ163_spl
| sQ185_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f2343,f783,f2002,f768]) ).
fof(f2348,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ164_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f778,f145]) ).
fof(f2349,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ164_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f778,f132]) ).
fof(f2350,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ164_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f778,f119]) ).
fof(f2351,plain,
! [X0] :
( ~ sQ164_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f778,f66]) ).
fof(f2352,plain,
( ~ sQ8_spl
| ~ sQ164_spl
| sQ188_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f2348,f2279,f2030,f777,f144]) ).
fof(f2353,plain,
( ~ sQ4_spl
| ~ sQ164_spl
| sQ188_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2349,f2287,f2030,f777,f131]) ).
fof(f2354,plain,
( ~ sQ0_spl
| ~ sQ164_spl
| sQ188_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2350,f2283,f2030,f777,f118]) ).
fof(f2355,plain,
( ~ sQ164_spl
| sQ188_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f2351,f783,f2030,f777]) ).
fof(f2356,plain,
( ~ sQ166_spl
| equalish(e_0,e_1) ),
inference(resolution,[status(thm)],[f787,f49]) ).
fof(f2357,plain,
( ~ sQ8_spl
| ~ sQ167_spl
| ~ greater(e_0,e_0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f792,f145]) ).
fof(f2358,plain,
( ~ sQ4_spl
| ~ sQ167_spl
| ~ greater(e_0,e_0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f792,f132]) ).
fof(f2359,plain,
( ~ sQ0_spl
| ~ sQ167_spl
| ~ greater(e_0,e_0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f792,f119]) ).
fof(f2360,plain,
( ~ sQ167_spl
| ~ greater(e_0,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f792,f66]) ).
fof(f2361,plain,
( ~ sQ8_spl
| ~ sQ167_spl
| ~ sQ145_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f2357,f2279,f639,f791,f144]) ).
fof(f2362,plain,
( ~ sQ4_spl
| ~ sQ167_spl
| ~ sQ145_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2358,f2287,f639,f791,f131]) ).
fof(f2363,plain,
( ~ sQ0_spl
| ~ sQ167_spl
| ~ sQ145_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2359,f2283,f639,f791,f118]) ).
fof(f2364,plain,
( ~ sQ167_spl
| ~ sQ145_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f2360,f783,f639,f791]) ).
fof(f2365,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ169_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f804,f145]) ).
fof(f2366,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ169_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f804,f132]) ).
fof(f2367,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ169_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f804,f119]) ).
fof(f2368,plain,
! [X0] :
( ~ sQ169_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f804,f66]) ).
fof(f2369,plain,
( ~ sQ8_spl
| ~ sQ169_spl
| sQ185_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f2365,f2241,f2002,f803,f144]) ).
fof(f2370,plain,
( ~ sQ4_spl
| ~ sQ169_spl
| sQ185_spl
| ~ sQ197_spl ),
inference(split_clause,[status(thm)],[f2366,f2237,f2002,f803,f131]) ).
fof(f2371,plain,
( ~ sQ0_spl
| ~ sQ169_spl
| sQ185_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f2367,f2233,f2002,f803,f118]) ).
fof(f2372,plain,
( ~ sQ169_spl
| sQ185_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f2368,f2245,f2002,f803]) ).
fof(f2373,plain,
! [X0] :
( ~ sQ169_spl
| ~ sQ2_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f125,f804]) ).
fof(f2374,plain,
( ~ sQ167_spl
| ~ sQ2_spl
| ~ greater(e_0,e_2)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f125,f792]) ).
fof(f2375,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ2_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f125,f778]) ).
fof(f2376,plain,
! [X0] :
( ~ sQ163_spl
| ~ sQ2_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f125,f769]) ).
fof(f2377,plain,
! [X0] :
( ~ sQ162_spl
| ~ sQ2_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f125,f760]) ).
fof(f2378,plain,
! [X0] :
( ~ sQ161_spl
| ~ sQ2_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f125,f751]) ).
fof(f2379,plain,
! [X0] :
( ~ sQ156_spl
| ~ sQ2_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f125,f712]) ).
fof(f2382,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)],[f125,f70]) ).
fof(f2384,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_2,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f125,f64]) ).
fof(f2385,plain,
( ~ sQ169_spl
| ~ sQ2_spl
| sQ186_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f2373,f2233,f2015,f124,f803]) ).
fof(f2386,definition,
( sQ203_spl
<=> greater(e_0,e_2) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f2388,plain,
( sQ203_spl
| ~ greater(e_0,e_2) ),
inference(component_clause,[status(thm)],[f2386]) ).
fof(f2389,plain,
( ~ sQ167_spl
| ~ sQ2_spl
| ~ sQ203_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2374,f2283,f2386,f124,f791]) ).
fof(f2390,plain,
( ~ sQ164_spl
| ~ sQ2_spl
| sQ187_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2375,f2283,f2026,f124,f777]) ).
fof(f2391,plain,
( ~ sQ163_spl
| ~ sQ2_spl
| sQ186_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2376,f2283,f2015,f124,f768]) ).
fof(f2392,plain,
( ~ sQ162_spl
| ~ sQ2_spl
| sQ175_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2377,f2283,f1908,f124,f759]) ).
fof(f2393,plain,
( ~ sQ161_spl
| ~ sQ2_spl
| sQ175_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f2378,f2233,f1908,f124,f750]) ).
fof(f2394,plain,
( ~ sQ156_spl
| ~ sQ2_spl
| sQ175_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f2379,f2118,f1908,f124,f711]) ).
fof(f2420,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ170_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f813,f119]) ).
fof(f2421,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ170_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f813,f145]) ).
fof(f2422,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ170_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f813,f132]) ).
fof(f2423,plain,
! [X0] :
( ~ sQ170_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f813,f66]) ).
fof(f2424,plain,
( ~ sQ0_spl
| ~ sQ170_spl
| sQ188_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f2420,f2233,f2030,f812,f118]) ).
fof(f2425,plain,
( ~ sQ8_spl
| ~ sQ170_spl
| sQ188_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f2421,f2241,f2030,f812,f144]) ).
fof(f2426,plain,
( ~ sQ4_spl
| ~ sQ170_spl
| sQ188_spl
| ~ sQ197_spl ),
inference(split_clause,[status(thm)],[f2422,f2237,f2030,f812,f131]) ).
fof(f2427,plain,
( ~ sQ170_spl
| sQ188_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f2423,f2245,f2030,f812]) ).
fof(f2428,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ173_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f830,f119]) ).
fof(f2429,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ173_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f830,f145]) ).
fof(f2430,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ173_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f830,f132]) ).
fof(f2431,plain,
! [X0] :
( ~ sQ173_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f830,f66]) ).
fof(f2432,plain,
( ~ sQ0_spl
| ~ sQ173_spl
| sQ166_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f2428,f2233,f786,f829,f118]) ).
fof(f2433,plain,
( ~ sQ8_spl
| ~ sQ173_spl
| sQ166_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f2429,f2241,f786,f829,f144]) ).
fof(f2434,plain,
( ~ sQ4_spl
| ~ sQ173_spl
| sQ166_spl
| ~ sQ197_spl ),
inference(split_clause,[status(thm)],[f2430,f2237,f786,f829,f131]) ).
fof(f2435,plain,
( ~ sQ173_spl
| sQ166_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f2431,f2245,f786,f829]) ).
fof(f2444,plain,
( ~ sQ0_spl
| ~ sQ171_spl
| ~ greater(e_0,e_0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f822,f119]) ).
fof(f2445,plain,
( ~ sQ8_spl
| ~ sQ171_spl
| ~ greater(e_0,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f822,f145]) ).
fof(f2446,plain,
( ~ sQ4_spl
| ~ sQ171_spl
| ~ greater(e_0,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f822,f132]) ).
fof(f2447,plain,
( ~ sQ171_spl
| ~ greater(e_0,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f822,f66]) ).
fof(f2448,plain,
( ~ sQ0_spl
| ~ sQ171_spl
| ~ sQ145_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f2444,f2233,f639,f821,f118]) ).
fof(f2449,plain,
( ~ sQ8_spl
| ~ sQ171_spl
| ~ sQ145_spl
| ~ sQ198_spl ),
inference(split_clause,[status(thm)],[f2445,f2241,f639,f821,f144]) ).
fof(f2450,plain,
( ~ sQ4_spl
| ~ sQ171_spl
| ~ sQ145_spl
| ~ sQ197_spl ),
inference(split_clause,[status(thm)],[f2446,f2237,f639,f821,f131]) ).
fof(f2451,plain,
( ~ sQ171_spl
| ~ sQ145_spl
| ~ sQ199_spl ),
inference(split_clause,[status(thm)],[f2447,f2245,f639,f821]) ).
fof(f2460,plain,
( ~ sQ136_spl
| ~ sQ42_spl
| product2(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f270,f1774]) ).
fof(f2471,plain,
! [X0] :
( ~ sQ136_spl
| ~ sQ42_spl
| equalish(e_3,X0)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2460,f104]) ).
fof(f2472,plain,
! [X0] :
( ~ sQ136_spl
| ~ sQ42_spl
| equalish(e_4,X0)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2460,f102]) ).
fof(f2473,plain,
! [X0] :
( ~ sQ136_spl
| ~ sQ42_spl
| equalish(e_2,X0)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2460,f100]) ).
fof(f2474,plain,
( ~ sQ97_spl
| ~ sQ102_spl
| product2(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f490,f1470]) ).
fof(f2485,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ102_spl
| equalish(e_3,X0)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2474,f104]) ).
fof(f2486,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ102_spl
| equalish(e_1,X0)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2474,f102]) ).
fof(f2487,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ102_spl
| equalish(e_4,X0)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2474,f100]) ).
fof(f2527,plain,
( ~ sQ42_spl
| ~ sQ19_spl
| product2(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f189,f1079]) ).
fof(f2535,plain,
( ~ sQ19_spl
| ~ sQ136_spl
| product2(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f609,f876]) ).
fof(f2542,plain,
( ~ sQ0_spl
| ~ sQ181_spl
| ~ greater(e_0,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f1973,f119]) ).
fof(f2543,plain,
( ~ sQ8_spl
| ~ sQ181_spl
| ~ greater(e_0,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f1973,f145]) ).
fof(f2544,plain,
( ~ sQ4_spl
| ~ sQ181_spl
| ~ greater(e_0,e_0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f1973,f132]) ).
fof(f2545,plain,
( ~ sQ181_spl
| ~ greater(e_0,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f1973,f66]) ).
fof(f2546,plain,
( ~ sQ0_spl
| ~ sQ181_spl
| ~ sQ145_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f2542,f2118,f639,f1972,f118]) ).
fof(f2547,plain,
( ~ sQ8_spl
| ~ sQ181_spl
| ~ sQ145_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f2543,f2114,f639,f1972,f144]) ).
fof(f2548,plain,
( ~ sQ4_spl
| ~ sQ181_spl
| ~ sQ145_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f2544,f2110,f639,f1972,f131]) ).
fof(f2549,plain,
( ~ sQ181_spl
| ~ sQ145_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f2545,f2122,f639,f1972]) ).
fof(f2550,plain,
( ~ sQ0_spl
| ~ sQ183_spl
| ~ greater(e_0,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f1989,f119]) ).
fof(f2551,plain,
( ~ sQ8_spl
| ~ sQ183_spl
| ~ greater(e_0,e_0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f1989,f145]) ).
fof(f2552,plain,
( ~ sQ4_spl
| ~ sQ183_spl
| ~ greater(e_0,e_0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f1989,f132]) ).
fof(f2553,plain,
( ~ sQ183_spl
| ~ greater(e_0,e_0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f1989,f66]) ).
fof(f2554,plain,
( ~ sQ0_spl
| ~ sQ183_spl
| ~ sQ145_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f2550,f1905,f639,f1988,f118]) ).
fof(f2555,plain,
( ~ sQ8_spl
| ~ sQ183_spl
| ~ sQ145_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f2551,f1916,f639,f1988,f144]) ).
fof(f2556,plain,
( ~ sQ4_spl
| ~ sQ183_spl
| ~ sQ145_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f2552,f1912,f639,f1988,f131]) ).
fof(f2557,plain,
( ~ sQ183_spl
| ~ sQ145_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f2553,f1920,f639,f1988]) ).
fof(f2558,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ sQ4_spl
| ~ greater(e_0,X1)
| ~ greater(e_3,e_2)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f734,f119]) ).
fof(f2559,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)],[f734,f145]) ).
fof(f2560,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)],[f734,f132]) ).
fof(f2561,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)],[f734,f66]) ).
fof(f2562,definition,
( sQ204_spl
<=> greater(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f2564,plain,
( sQ204_spl
| ~ greater(e_3,e_2) ),
inference(component_clause,[status(thm)],[f2562]) ).
fof(f2565,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ204_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f2558,f821,f2562,f131,f118]) ).
fof(f2566,definition,
( sQ205_spl
<=> greater(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f2568,plain,
( sQ205_spl
| ~ greater(e_1,e_2) ),
inference(component_clause,[status(thm)],[f2566]) ).
fof(f2569,plain,
( ~ sQ8_spl
| ~ sQ4_spl
| ~ sQ205_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2559,f1988,f2566,f131,f144]) ).
fof(f2570,definition,
( sQ206_spl
<=> greater(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f2572,plain,
( sQ206_spl
| ~ greater(e_2,e_2) ),
inference(component_clause,[status(thm)],[f2570]) ).
fof(f2573,plain,
( ~ sQ4_spl
| ~ sQ206_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f2560,f1972,f2570,f131]) ).
fof(f2574,definition,
( sQ207_spl
<=> greater(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f2576,plain,
( sQ207_spl
| ~ greater(e_4,e_2) ),
inference(component_clause,[status(thm)],[f2574]) ).
fof(f2577,plain,
( ~ sQ4_spl
| ~ sQ207_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f2561,f791,f2574,f131]) ).
fof(f2578,plain,
( sQ207_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2576,f61]) ).
fof(f2579,plain,
sQ207_spl,
inference(contradiction_clause,[status(thm)],[f2578]) ).
fof(f2580,plain,
( sQ204_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2564,f60]) ).
fof(f2581,plain,
sQ204_spl,
inference(contradiction_clause,[status(thm)],[f2580]) ).
fof(f2582,plain,
( ~ sQ183_spl
| ~ sQ1_spl
| ~ greater(e_0,e_1)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f122,f1989]) ).
fof(f2583,plain,
( ~ sQ181_spl
| ~ sQ1_spl
| ~ greater(e_0,e_1)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f122,f1973]) ).
fof(f2584,plain,
( ~ sQ167_spl
| ~ sQ1_spl
| ~ greater(e_0,e_1)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f122,f792]) ).
fof(f2585,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ1_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f122,f778]) ).
fof(f2586,plain,
! [X0] :
( ~ sQ163_spl
| ~ sQ1_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f122,f769]) ).
fof(f2595,definition,
( sQ208_spl
<=> greater(e_0,e_1) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f2597,plain,
( sQ208_spl
| ~ greater(e_0,e_1) ),
inference(component_clause,[status(thm)],[f2595]) ).
fof(f2598,plain,
( ~ sQ183_spl
| ~ sQ1_spl
| ~ sQ208_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f2582,f1905,f2595,f121,f1988]) ).
fof(f2599,plain,
( ~ sQ181_spl
| ~ sQ1_spl
| ~ sQ208_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f2583,f2118,f2595,f121,f1972]) ).
fof(f2600,plain,
( ~ sQ167_spl
| ~ sQ1_spl
| ~ sQ208_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2584,f2283,f2595,f121,f791]) ).
fof(f2601,plain,
( ~ sQ164_spl
| ~ sQ1_spl
| sQ189_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2585,f2283,f2043,f121,f777]) ).
fof(f2602,plain,
( ~ sQ163_spl
| ~ sQ1_spl
| sQ190_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2586,f2283,f2047,f121,f768]) ).
fof(f2638,plain,
( ~ sQ179_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1924,f49]) ).
fof(f2639,plain,
( ~ sQ179_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2638,f84]) ).
fof(f2640,plain,
~ sQ179_spl,
inference(contradiction_clause,[status(thm)],[f2639]) ).
fof(f2650,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_1,X0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f122,f64]) ).
fof(f2659,plain,
( ~ sQ167_spl
| ~ sQ9_spl
| ~ greater(e_0,e_1)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f148,f792]) ).
fof(f2660,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ9_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f148,f778]) ).
fof(f2661,plain,
! [X0] :
( ~ sQ163_spl
| ~ sQ9_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f148,f769]) ).
fof(f2666,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)],[f148,f70]) ).
fof(f2668,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_1,X0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f148,f64]) ).
fof(f2669,plain,
( ~ sQ167_spl
| ~ sQ9_spl
| ~ sQ208_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f2659,f2279,f2595,f147,f791]) ).
fof(f2670,plain,
( ~ sQ164_spl
| ~ sQ9_spl
| sQ189_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f2660,f2279,f2043,f147,f777]) ).
fof(f2671,plain,
( ~ sQ163_spl
| ~ sQ9_spl
| sQ190_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f2661,f2279,f2047,f147,f768]) ).
fof(f2677,plain,
( ~ sQ167_spl
| ~ sQ6_spl
| ~ greater(e_0,e_2)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f138,f792]) ).
fof(f2678,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ6_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f138,f778]) ).
fof(f2679,plain,
! [X0] :
( ~ sQ163_spl
| ~ sQ6_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f138,f769]) ).
fof(f2680,plain,
! [X0] :
( ~ sQ162_spl
| ~ sQ6_spl
| equalish(e_3,X0)
| ~ next(e_2,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f138,f760]) ).
fof(f2684,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)],[f138,f70]) ).
fof(f2686,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f138,f64]) ).
fof(f2687,plain,
( ~ sQ167_spl
| ~ sQ6_spl
| ~ sQ203_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2677,f2287,f2386,f137,f791]) ).
fof(f2688,plain,
( ~ sQ164_spl
| ~ sQ6_spl
| sQ187_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2678,f2287,f2026,f137,f777]) ).
fof(f2689,plain,
( ~ sQ163_spl
| ~ sQ6_spl
| sQ186_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2679,f2287,f2015,f137,f768]) ).
fof(f2690,plain,
( ~ sQ162_spl
| ~ sQ6_spl
| sQ175_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2680,f2287,f1908,f137,f759]) ).
fof(f2695,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)],[f808,f66]) ).
fof(f2696,definition,
! [X0,X1] :
( sQ209_spl
<=> ( ~ greater(e_1,X1)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2697,plain,
! [X0,X1] :
( ~ sQ209_spl
| ~ greater(e_1,X1)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f2696]) ).
fof(f2699,definition,
( sQ210_spl
<=> greater(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2701,plain,
( sQ210_spl
| ~ greater(e_4,e_3) ),
inference(component_clause,[status(thm)],[f2699]) ).
fof(f2702,plain,
( ~ sQ1_spl
| ~ sQ210_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2695,f2696,f2699,f121]) ).
fof(f2703,plain,
( sQ210_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2701,f62]) ).
fof(f2704,plain,
sQ210_spl,
inference(contradiction_clause,[status(thm)],[f2703]) ).
fof(f2706,plain,
! [X0,X1] :
( ~ sQ9_spl
| ~ greater(e_1,X1)
| ~ greater(e_4,e_1)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f681,f66]) ).
fof(f2707,definition,
( sQ211_spl
<=> greater(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2709,plain,
( sQ211_spl
| ~ greater(e_4,e_1) ),
inference(component_clause,[status(thm)],[f2707]) ).
fof(f2710,plain,
( ~ sQ9_spl
| ~ sQ211_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2706,f2696,f2707,f147]) ).
fof(f2711,plain,
( sQ211_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2709,f59]) ).
fof(f2712,plain,
sQ211_spl,
inference(contradiction_clause,[status(thm)],[f2711]) ).
fof(f2716,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ153_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f689,f122]) ).
fof(f2720,plain,
( ~ sQ1_spl
| ~ sQ153_spl
| sQ189_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f2716,f1905,f2043,f688,f121]) ).
fof(f2722,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)],[f716,f66]) ).
fof(f2723,definition,
! [X0,X1] :
( sQ212_spl
<=> ( ~ greater(e_2,X1)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f2724,plain,
! [X0,X1] :
( ~ sQ212_spl
| ~ greater(e_2,X1)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f2723]) ).
fof(f2726,plain,
( ~ sQ6_spl
| ~ sQ207_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f2722,f2723,f2574,f137]) ).
fof(f2727,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sQ8_spl
| ~ greater(e_1,X1)
| ~ greater(e_1,e_3)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f145,f808]) ).
fof(f2738,definition,
! [X0,X1] :
( sQ213_spl
<=> ( ~ greater(e_1,X1)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2739,plain,
! [X0,X1] :
( ~ sQ213_spl
| ~ greater(e_1,X1)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f2738]) ).
fof(f2741,definition,
( sQ214_spl
<=> greater(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2743,plain,
( sQ214_spl
| ~ greater(e_1,e_3) ),
inference(component_clause,[status(thm)],[f2741]) ).
fof(f2744,plain,
( ~ sQ1_spl
| ~ sQ8_spl
| ~ sQ214_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f2727,f2738,f2741,f144,f121]) ).
fof(f2753,plain,
( ~ sQ167_spl
| ~ sQ5_spl
| ~ greater(e_0,e_1)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f135,f792]) ).
fof(f2754,plain,
! [X0] :
( ~ sQ164_spl
| ~ sQ5_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f135,f778]) ).
fof(f2755,plain,
! [X0] :
( ~ sQ163_spl
| ~ sQ5_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f135,f769]) ).
fof(f2759,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)],[f135,f70]) ).
fof(f2761,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f135,f64]) ).
fof(f2762,plain,
( ~ sQ167_spl
| ~ sQ5_spl
| ~ sQ208_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2753,f2287,f2595,f134,f791]) ).
fof(f2763,plain,
( ~ sQ164_spl
| ~ sQ5_spl
| sQ189_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2754,f2287,f2043,f134,f777]) ).
fof(f2764,plain,
( ~ sQ163_spl
| ~ sQ5_spl
| sQ190_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2755,f2287,f2047,f134,f768]) ).
fof(f2769,plain,
( ~ sQ180_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1935,f50]) ).
fof(f2770,plain,
( ~ sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2769,f85]) ).
fof(f2771,plain,
~ sQ180_spl,
inference(contradiction_clause,[status(thm)],[f2770]) ).
fof(f2778,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)],[f138,f70]) ).
fof(f2780,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f138,f64]) ).
fof(f2788,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ170_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f813,f138]) ).
fof(f2790,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ170_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f813,f122]) ).
fof(f2792,plain,
( ~ sQ6_spl
| ~ sQ170_spl
| sQ187_spl
| ~ sQ197_spl ),
inference(split_clause,[status(thm)],[f2788,f2237,f2026,f812,f137]) ).
fof(f2794,plain,
( ~ sQ1_spl
| ~ sQ170_spl
| sQ189_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f2790,f2233,f2043,f812,f121]) ).
fof(f2796,plain,
( ~ sQ185_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2003,f49]) ).
fof(f2797,plain,
( ~ sQ185_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2796,f81]) ).
fof(f2798,plain,
~ sQ185_spl,
inference(contradiction_clause,[status(thm)],[f2797]) ).
fof(f2831,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ sQ8_spl
| ~ greater(e_0,X1)
| ~ greater(e_3,e_1)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f695,f119]) ).
fof(f2832,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)],[f695,f132]) ).
fof(f2833,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)],[f695,f145]) ).
fof(f2834,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)],[f695,f66]) ).
fof(f2835,definition,
( sQ215_spl
<=> greater(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f2837,plain,
( sQ215_spl
| ~ greater(e_3,e_1) ),
inference(component_clause,[status(thm)],[f2835]) ).
fof(f2838,plain,
( ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ215_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f2831,f821,f2835,f144,f118]) ).
fof(f2839,definition,
( sQ216_spl
<=> greater(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f2841,plain,
( sQ216_spl
| ~ greater(e_2,e_1) ),
inference(component_clause,[status(thm)],[f2839]) ).
fof(f2842,plain,
( ~ sQ4_spl
| ~ sQ8_spl
| ~ sQ216_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f2832,f1972,f2839,f144,f131]) ).
fof(f2843,definition,
( sQ217_spl
<=> greater(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f2845,plain,
( sQ217_spl
| ~ greater(e_1,e_1) ),
inference(component_clause,[status(thm)],[f2843]) ).
fof(f2846,plain,
( ~ sQ8_spl
| ~ sQ217_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2833,f1988,f2843,f144]) ).
fof(f2847,plain,
( ~ sQ8_spl
| ~ sQ211_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f2834,f791,f2707,f144]) ).
fof(f2848,plain,
( sQ216_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2841,f57]) ).
fof(f2849,plain,
sQ216_spl,
inference(contradiction_clause,[status(thm)],[f2848]) ).
fof(f2850,plain,
( sQ215_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2837,f58]) ).
fof(f2851,plain,
sQ215_spl,
inference(contradiction_clause,[status(thm)],[f2850]) ).
fof(f2853,plain,
( ~ sQ186_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2016,f51]) ).
fof(f2854,plain,
( ~ sQ186_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2853,f82]) ).
fof(f2855,plain,
~ sQ186_spl,
inference(contradiction_clause,[status(thm)],[f2854]) ).
fof(f2857,plain,
( ~ sQ187_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2027,f51]) ).
fof(f2858,plain,
( ~ sQ187_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2857,f79]) ).
fof(f2859,plain,
~ sQ187_spl,
inference(contradiction_clause,[status(thm)],[f2858]) ).
fof(f2869,plain,
( ~ sQ189_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f2044,f50]) ).
fof(f2870,plain,
( ~ sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2869,f78]) ).
fof(f2871,plain,
~ sQ189_spl,
inference(contradiction_clause,[status(thm)],[f2870]) ).
fof(f2872,plain,
( ~ sQ195_spl
| equalish(e_0,e_3) ),
inference(resolution,[status(thm)],[f2192,f51]) ).
fof(f2882,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ greater(e_0,X1)
| ~ greater(e_3,e_3)
| ~ next(e_3,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f818,f119]) ).
fof(f2883,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ sQ0_spl
| ~ greater(e_0,X1)
| ~ greater(e_2,e_3)
| ~ next(e_2,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f818,f132]) ).
fof(f2884,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sQ0_spl
| ~ greater(e_0,X1)
| ~ greater(e_1,e_3)
| ~ next(e_1,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f818,f145]) ).
fof(f2885,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ greater(e_0,X1)
| ~ greater(e_4,e_3)
| ~ next(e_4,X0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f818,f66]) ).
fof(f2886,definition,
( sQ218_spl
<=> greater(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f2888,plain,
( sQ218_spl
| ~ greater(e_3,e_3) ),
inference(component_clause,[status(thm)],[f2886]) ).
fof(f2889,plain,
( ~ sQ0_spl
| ~ sQ218_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f2882,f821,f2886,f118]) ).
fof(f2890,definition,
( sQ219_spl
<=> greater(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2892,plain,
( sQ219_spl
| ~ greater(e_2,e_3) ),
inference(component_clause,[status(thm)],[f2890]) ).
fof(f2893,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| ~ sQ219_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f2883,f1972,f2890,f118,f131]) ).
fof(f2894,plain,
( ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ214_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2884,f1988,f2741,f118,f144]) ).
fof(f2895,plain,
( ~ sQ0_spl
| ~ sQ210_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f2885,f791,f2699,f118]) ).
fof(f2897,plain,
( ~ sQ0_spl
| ~ sQ209_spl
| ~ greater(e_1,e_0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f2697,f119]) ).
fof(f2898,plain,
( ~ sQ4_spl
| ~ sQ209_spl
| ~ greater(e_1,e_0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f2697,f132]) ).
fof(f2899,plain,
( ~ sQ8_spl
| ~ sQ209_spl
| ~ greater(e_1,e_0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f2697,f145]) ).
fof(f2900,plain,
( ~ sQ209_spl
| ~ greater(e_1,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f2697,f66]) ).
fof(f2901,plain,
( ~ sQ0_spl
| ~ sQ209_spl
| ~ sQ152_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2897,f2283,f684,f2696,f118]) ).
fof(f2902,plain,
( ~ sQ4_spl
| ~ sQ209_spl
| ~ sQ152_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2898,f2287,f684,f2696,f131]) ).
fof(f2903,plain,
( ~ sQ8_spl
| ~ sQ209_spl
| ~ sQ152_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f2899,f2279,f684,f2696,f144]) ).
fof(f2904,plain,
( ~ sQ209_spl
| ~ sQ152_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f2900,f783,f684,f2696]) ).
fof(f2905,plain,
( ~ sQ0_spl
| ~ sQ212_spl
| ~ greater(e_2,e_0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f2724,f119]) ).
fof(f2906,plain,
( ~ sQ4_spl
| ~ sQ212_spl
| ~ greater(e_2,e_0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f2724,f132]) ).
fof(f2907,plain,
( ~ sQ8_spl
| ~ sQ212_spl
| ~ greater(e_2,e_0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f2724,f145]) ).
fof(f2908,plain,
( ~ sQ212_spl
| ~ greater(e_2,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f2724,f66]) ).
fof(f2909,plain,
( ~ sQ0_spl
| ~ sQ212_spl
| ~ sQ150_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f2905,f2283,f670,f2723,f118]) ).
fof(f2910,plain,
( ~ sQ4_spl
| ~ sQ212_spl
| ~ sQ150_spl
| ~ sQ202_spl ),
inference(split_clause,[status(thm)],[f2906,f2287,f670,f2723,f131]) ).
fof(f2911,plain,
( ~ sQ8_spl
| ~ sQ212_spl
| ~ sQ150_spl
| ~ sQ200_spl ),
inference(split_clause,[status(thm)],[f2907,f2279,f670,f2723,f144]) ).
fof(f2912,plain,
( ~ sQ212_spl
| ~ sQ150_spl
| ~ sQ165_spl ),
inference(split_clause,[status(thm)],[f2908,f783,f670,f2723]) ).
fof(f2913,plain,
( ~ sQ0_spl
| ~ sQ213_spl
| ~ greater(e_1,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f2739,f119]) ).
fof(f2914,plain,
( ~ sQ4_spl
| ~ sQ213_spl
| ~ greater(e_1,e_0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f2739,f132]) ).
fof(f2915,plain,
( ~ sQ8_spl
| ~ sQ213_spl
| ~ greater(e_1,e_0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f2739,f145]) ).
fof(f2916,plain,
( ~ sQ213_spl
| ~ greater(e_1,e_0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f2739,f66]) ).
fof(f2917,plain,
( ~ sQ0_spl
| ~ sQ213_spl
| ~ sQ152_spl
| ~ sQ174_spl ),
inference(split_clause,[status(thm)],[f2913,f1905,f684,f2738,f118]) ).
fof(f2918,plain,
( ~ sQ4_spl
| ~ sQ213_spl
| ~ sQ152_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f2914,f1912,f684,f2738,f131]) ).
fof(f2919,plain,
( ~ sQ8_spl
| ~ sQ213_spl
| ~ sQ152_spl
| ~ sQ177_spl ),
inference(split_clause,[status(thm)],[f2915,f1916,f684,f2738,f144]) ).
fof(f2920,plain,
( ~ sQ213_spl
| ~ sQ152_spl
| ~ sQ178_spl ),
inference(split_clause,[status(thm)],[f2916,f1920,f684,f2738]) ).
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
| ~ 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
| sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| ~ sQ33_spl
| ~ sQ34_spl
| sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| sQ39_spl
| ~ sQ40_spl
| ~ sQ41_spl
| sQ42_spl
| sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| sQ50_spl
| ~ sQ51_spl
| sQ52_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| ~ sQ58_spl
| sQ59_spl
| ~ sQ60_spl
| ~ sQ61_spl
| ~ sQ62_spl
| sQ63_spl
| ~ sQ64_spl
| sQ65_spl
| ~ sQ66_spl
| ~ sQ67_spl
| ~ sQ68_spl
| ~ sQ69_spl
| sQ70_spl
| ~ sQ71_spl
| ~ sQ72_spl
| sQ73_spl
| ~ sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl
| ~ sQ77_spl
| ~ sQ78_spl
| sQ79_spl
| sQ80_spl
| ~ sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| sQ86_spl
| ~ sQ87_spl
| sQ88_spl
| ~ sQ89_spl
| ~ sQ90_spl
| ~ sQ91_spl
| ~ sQ92_spl
| sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| ~ sQ96_spl
| sQ97_spl
| ~ sQ98_spl
| ~ sQ99_spl
| ~ sQ100_spl
| ~ sQ101_spl
| sQ102_spl
| ~ sQ103_spl
| sQ104_spl
| ~ sQ105_spl
| ~ sQ106_spl
| ~ sQ107_spl
| sQ108_spl
| ~ sQ112_spl
| ~ sQ113_spl
| ~ sQ114_spl
| sQ115_spl
| sQ116_spl
| ~ sQ117_spl
| ~ sQ118_spl
| ~ sQ119_spl
| ~ sQ120_spl
| ~ sQ121_spl
| sQ122_spl
| ~ sQ123_spl
| ~ sQ124_spl
| sQ125_spl
| ~ sQ126_spl
| ~ sQ127_spl
| ~ sQ128_spl
| ~ sQ129_spl
| ~ sQ130_spl
| sQ131_spl
| ~ sQ132_spl
| sQ133_spl
| ~ sQ134_spl
| ~ sQ135_spl
| sQ136_spl
| ~ sQ137_spl
| ~ sQ138_spl
| ~ sQ139_spl
| ~ sQ140_spl
| ~ sQ141_spl
| sQ142_spl
| ~ sQ143_spl
| ~ sQ145_spl
| sQ146_spl
| sQ147_spl
| sQ148_spl
| ~ sQ149_spl
| sQ150_spl
| ~ sQ151_spl
| sQ152_spl
| sQ155_spl
| ~ sQ156_spl
| ~ sQ157_spl
| sQ160_spl
| ~ sQ161_spl
| sQ162_spl
| sQ163_spl
| sQ164_spl
| ~ sQ165_spl
| sQ166_spl
| sQ167_spl
| ~ sQ168_spl
| ~ sQ169_spl
| sQ171_spl
| ~ sQ172_spl
| ~ sQ174_spl
| sQ175_spl
| sQ176_spl
| ~ sQ177_spl
| ~ sQ178_spl
| ~ sQ179_spl
| ~ sQ180_spl
| sQ181_spl
| ~ sQ182_spl
| sQ183_spl
| ~ sQ184_spl
| ~ sQ185_spl
| ~ sQ186_spl
| ~ sQ187_spl
| sQ188_spl
| ~ sQ189_spl
| sQ190_spl
| ~ sQ191_spl
| ~ sQ192_spl
| sQ193_spl
| ~ sQ194_spl
| sQ195_spl
| ~ sQ196_spl
| ~ sQ197_spl
| ~ sQ198_spl
| sQ199_spl
| ~ sQ200_spl
| ~ sQ201_spl
| ~ sQ202_spl
| ~ sQ203_spl
| sQ204_spl
| ~ sQ205_spl
| ~ sQ206_spl
| sQ207_spl
| ~ sQ208_spl
| sQ210_spl
| sQ211_spl
| ~ sQ213_spl
| ~ sQ214_spl
| sQ215_spl
| sQ216_spl
| ~ sQ217_spl
| ~ sQ218_spl
| ~ sQ219_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP123-8.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.46 % Computer : n006.cluster.edu
% 0.15/0.46 % Model : x86_64 x86_64
% 0.15/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.46 % Memory : 8046.5625MB
% 0.15/0.46 % OS : Linux 6.8.0-71-generic
% 0.15/0.47 % CPULimit : 300
% 0.15/0.47 % WCLimit : 300
% 0.15/0.47 % DateTime : Sun Sep 20 19:58:42 UTC 2026
% 0.15/0.47 % CPUTime :
% 0.15/0.50 % Drodi V4.1.1
% 0.21/0.71 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.21/0.71 % SZS output start Saturation for theBenchmark
% See solution above
% 0.21/0.78 % Elapsed time: 0.279439 seconds
% 0.21/0.78 % CPU time: 1.683129 seconds
% 0.21/0.78 % Total memory used: 38.336 MB
% 0.21/0.78 % Net memory used: 37.402 MB
%------------------------------------------------------------------------------