%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP128-3.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 12:32:46 PM UTC 2026
% Result : Unsatisfiable 40.23s 5.73s
% Output : CNFRefutation 39.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 258
% Syntax : Number of formulae : 1948 ( 90 unt; 217 def)
% Number of atoms : 5403 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 6759 (3304 ~;3238 |; 0 &)
% ( 217 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 224 ( 223 usr; 218 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 610 ( 610 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
greater(e_4,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
greater(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
greater(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y,Z] :
( equalish(Y,Z)
| ~ cycle(X,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( cycle(X,e_4)
| 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(f23,axiom,
cycle(e_5,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,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(f25,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(f26,axiom,
! [X,Y] :
( ~ greater(Y,X)
| ~ product(X,e_1,Y)
| ~ cycle(X,e_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,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(f28,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [X,Y] :
( product(X,Y,e_5)
| product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
! [X,Y,Z1,Z2] :
( product(X,Z1,Z2)
| ~ product(Z1,Y,Z2)
| ~ product(X,Y,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,plain,
greater(e_1,e_0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f64,plain,
greater(e_2,e_0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f65,plain,
greater(e_3,e_0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f66,plain,
greater(e_4,e_0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f68,plain,
greater(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f69,plain,
greater(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f70,plain,
greater(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f71,plain,
greater(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f72,plain,
greater(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f73,plain,
greater(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f74,plain,
greater(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f75,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f76,plain,
greater(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f77,plain,
greater(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f78,plain,
! [Y,Z] :
( equalish(Y,Z)
| ! [X] :
( ~ cycle(X,Z)
| ~ cycle(X,Y) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ cycle(X2,X1)
| ~ cycle(X2,X0)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f80,plain,
! [X0] :
( ~ group_element(X0)
| cycle(X0,e_1)
| cycle(X0,e_2)
| cycle(X0,e_3)
| cycle(X0,e_4)
| cycle(X0,e_0) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f81,plain,
cycle(e_5,e_0),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f82,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)],[f24]) ).
fof(f83,plain,
! [X0,X1,X2,X3,X4] :
( ~ next(X2,X0)
| equalish(X3,X4)
| ~ next(X1,X4)
| ~ greater(X3,e_0)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f84,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)],[f25]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4] :
( ~ greater(X2,X4)
| ~ cycle(X4,X0)
| ~ cycle(X3,X1)
| ~ next(X2,X3)
| ~ cycle(X2,e_0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f86,plain,
! [X0,X1] :
( ~ cycle(X1,e_0)
| ~ product(X1,e_1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f87,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)],[f27]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( ~ cycle(X2,X3)
| ~ next(X2,X1)
| ~ greater(X3,e_0)
| ~ product(X2,e_1,X0)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f90,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f91,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f92,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f93,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f95,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f98,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f99,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f106,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f107,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f108,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f110,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f111,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f112,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f113,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f114,plain,
! [X0,X1] :
( product(X0,X1,e_1)
| ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_5)
| product(X0,X1,e_4)
| product(X0,X1,e_2)
| product(X0,X1,e_3) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f115,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f117,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X3,X2)
| equalish(X3,X1)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f119,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f56]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( ~ product(X3,X1,X2)
| equalish(X0,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f121,plain,
! [X,Z1,Z2] :
( product(X,Z1,Z2)
| ! [Y] :
( ~ product(Z1,Y,Z2)
| ~ product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ~ product(X1,X3,X2)
| ~ product(X0,X3,X1)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( ~ product(e_3,X0,X1)
| ~ product(e_4,X0,X1) ),
inference(resolution,[status(thm)],[f108,f120]) ).
fof(f124,plain,
! [X0,X1] :
( ~ product(X0,X1,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f108,f116]) ).
fof(f125,plain,
! [X0,X1] :
( ~ product(X0,e_4,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f108,f118]) ).
fof(f126,plain,
! [X0,X1] :
( ~ product(e_4,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f107,f120]) ).
fof(f127,plain,
! [X0,X1] :
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f107,f116]) ).
fof(f128,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_4,X1) ),
inference(resolution,[status(thm)],[f107,f118]) ).
fof(f129,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f99,f120]) ).
fof(f130,plain,
! [X0,X1] :
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f99,f116]) ).
fof(f131,plain,
! [X0,X1] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f99,f118]) ).
fof(f135,plain,
! [X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f95,f120]) ).
fof(f136,plain,
! [X0,X1] :
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f95,f116]) ).
fof(f137,plain,
! [X0,X1] :
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f95,f118]) ).
fof(f138,plain,
! [X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(e_4,X0,X1) ),
inference(resolution,[status(thm)],[f106,f120]) ).
fof(f139,plain,
! [X0,X1] :
( ~ product(X0,X1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f106,f116]) ).
fof(f140,plain,
! [X0,X1] :
( ~ product(X0,e_4,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f106,f118]) ).
fof(f141,plain,
! [X0,X1] :
( ~ product(e_5,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[status(thm)],[f110,f120]) ).
fof(f142,plain,
! [X0,X1] :
( ~ product(X0,X1,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f110,f116]) ).
fof(f143,plain,
! [X0,X1] :
( ~ product(X0,e_1,X1)
| ~ product(X0,e_5,X1) ),
inference(resolution,[status(thm)],[f110,f118]) ).
fof(f148,plain,
! [X0,X1] :
( ~ product(e_5,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f111,f120]) ).
fof(f149,plain,
! [X0,X1] :
( ~ product(X0,X1,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f111,f116]) ).
fof(f150,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_5,X1) ),
inference(resolution,[status(thm)],[f111,f118]) ).
fof(f154,plain,
! [X0] :
( product(X0,e_3,e_5)
| product(X0,e_3,e_4)
| ~ group_element(X0)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f114,f91]) ).
fof(f155,plain,
! [X0] :
( product(X0,e_4,e_4)
| product(X0,e_4,e_2)
| product(X0,e_4,e_5)
| product(X0,e_4,e_3)
| product(X0,e_4,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f114,f92]) ).
fof(f156,plain,
! [X0] :
( product(X0,e_5,e_4)
| product(X0,e_5,e_1)
| product(X0,e_5,e_3)
| ~ group_element(X0)
| product(X0,e_5,e_5)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f114,f93]) ).
fof(f157,plain,
! [X0] :
( product(X0,e_2,e_1)
| ~ group_element(X0)
| product(X0,e_2,e_4)
| product(X0,e_2,e_5)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f114,f90]) ).
fof(f158,plain,
! [X0] :
( product(X0,e_1,e_5)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_4)
| ~ group_element(X0)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f114,f89]) ).
fof(f163,plain,
! [X0,X1] :
( ~ product(e_4,X0,X1)
| ~ product(e_5,X0,X1) ),
inference(resolution,[status(thm)],[f113,f120]) ).
fof(f164,plain,
! [X0,X1] :
( ~ product(X0,X1,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f113,f116]) ).
fof(f165,plain,
! [X0,X1] :
( ~ product(X0,e_5,X1)
| ~ product(X0,e_4,X1) ),
inference(resolution,[status(thm)],[f113,f118]) ).
fof(f166,plain,
! [X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f98,f120]) ).
fof(f167,plain,
! [X0,X1] :
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f98,f116]) ).
fof(f168,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f98,f118]) ).
fof(f170,plain,
! [X0,X1] :
( ~ product(e_5,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f112,f120]) ).
fof(f171,plain,
! [X0,X1] :
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f112,f116]) ).
fof(f172,plain,
! [X0,X1] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_5,X1) ),
inference(resolution,[status(thm)],[f112,f118]) ).
fof(f177,plain,
! [X0,X1] :
( ~ next(e_5,X1)
| ~ greater(e_0,e_0)
| ~ product(e_5,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f81,f88]) ).
fof(f178,plain,
! [X0] :
( ~ cycle(e_5,X0)
| equalish(X0,e_0) ),
inference(resolution,[status(thm)],[f81,f79]) ).
fof(f179,definition,
! [X0,X1] :
( sQ0_spl
<=> ( ~ next(e_5,X1)
| ~ product(e_5,e_1,X0)
| equalish(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f182,definition,
( sQ1_spl
<=> greater(e_0,e_0) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f177,f179,f182]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( ~ next(X3,X0)
| ~ next(X1,X2)
| ~ cycle(X3,e_4)
| equalish(e_4,X2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f66,f83]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4] :
( cycle(X2,e_3)
| ~ next(X2,X4)
| ~ group_element(X2)
| cycle(X2,e_2)
| cycle(X2,e_1)
| ~ cycle(X4,X1)
| ~ cycle(X3,X0)
| cycle(X2,e_4)
| ~ greater(X2,X3)
| ~ greater(X0,X1) ),
inference(resolution,[status(thm)],[f80,f85]) ).
fof(f204,plain,
! [X0,X1,X2] :
( ~ next(X0,X2)
| ~ greater(e_0,e_0)
| ~ product(X0,e_1,X1)
| equalish(X1,X2)
| ~ group_element(X0)
| cycle(X0,e_1)
| cycle(X0,e_2)
| cycle(X0,e_3)
| cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f80,f88]) ).
fof(f205,plain,
! [X0,X1] :
( equalish(X1,e_0)
| ~ group_element(X0)
| cycle(X0,e_3)
| cycle(X0,e_1)
| cycle(X0,e_2)
| ~ cycle(X0,X1)
| cycle(X0,e_4) ),
inference(resolution,[status(thm)],[f80,f79]) ).
fof(f206,definition,
! [X0,X1,X2] :
( sQ2_spl
<=> ( ~ next(X0,X2)
| ~ product(X0,e_1,X1)
| equalish(X1,X2)
| ~ group_element(X0)
| cycle(X0,e_1)
| cycle(X0,e_2)
| cycle(X0,e_3)
| cycle(X0,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| cycle(X2,e_2)
| ~ next(X2,X1)
| ~ product(X2,e_1,X0)
| cycle(X2,e_1)
| cycle(X2,e_4)
| ~ group_element(X2)
| cycle(X2,e_3)
| equalish(X0,X1) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( ~ sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f204,f206,f182]) ).
fof(f211,plain,
( ~ group_element(e_5)
| cycle(e_5,e_1)
| cycle(e_5,e_2)
| cycle(e_5,e_3)
| cycle(e_5,e_4)
| equalish(e_0,e_0) ),
inference(resolution,[status(thm)],[f178,f80]) ).
fof(f212,definition,
( sQ3_spl
<=> equalish(e_0,e_0) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f215,definition,
( sQ4_spl
<=> cycle(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ4_spl
| cycle(e_5,e_4) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,definition,
( sQ5_spl
<=> cycle(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( ~ sQ5_spl
| cycle(e_5,e_3) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,definition,
( sQ6_spl
<=> cycle(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( ~ sQ6_spl
| cycle(e_5,e_2) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,definition,
( sQ7_spl
<=> cycle(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ7_spl
| cycle(e_5,e_1) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f226,plain,
( sQ7_spl
| ~ cycle(e_5,e_1) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,definition,
( sQ8_spl
<=> group_element(e_5) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( sQ8_spl
| ~ group_element(e_5) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,plain,
( ~ sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f211,f212,f215,f218,f221,f224,f227]) ).
fof(f231,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f229,f93]) ).
fof(f232,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f231]) ).
fof(f234,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ next(e_5,X1)
| ~ greater(e_1,e_0)
| ~ product(e_5,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f225,f88]) ).
fof(f236,definition,
( sQ9_spl
<=> greater(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( sQ9_spl
| ~ greater(e_1,e_0) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f234,f179,f236,f224]) ).
fof(f240,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f238,f63]) ).
fof(f241,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f240]) ).
fof(f243,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ next(e_5,X1)
| ~ greater(e_2,e_0)
| ~ product(e_5,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f222,f88]) ).
fof(f245,definition,
( sQ10_spl
<=> greater(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( sQ10_spl
| ~ greater(e_2,e_0) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,plain,
( ~ sQ6_spl
| ~ sQ10_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f243,f179,f245,f221]) ).
fof(f249,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f247,f64]) ).
fof(f250,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f249]) ).
fof(f252,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ next(e_5,X1)
| ~ greater(e_3,e_0)
| ~ product(e_5,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f219,f88]) ).
fof(f254,definition,
( sQ11_spl
<=> greater(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( sQ11_spl
| ~ greater(e_3,e_0) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f252,f179,f254,f218]) ).
fof(f258,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f256,f65]) ).
fof(f259,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f258]) ).
fof(f261,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ next(e_5,X1)
| ~ greater(e_4,e_0)
| ~ product(e_5,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f216,f88]) ).
fof(f263,definition,
( sQ12_spl
<=> greater(e_4,e_0) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( sQ12_spl
| ~ greater(e_4,e_0) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f261,f179,f263,f215]) ).
fof(f267,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f265,f66]) ).
fof(f268,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f267]) ).
fof(f269,plain,
( product(e_3,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f154,f91]) ).
fof(f270,plain,
( product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f154,f92]) ).
fof(f271,plain,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_5)
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f154,f93]) ).
fof(f272,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f154,f90]) ).
fof(f273,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_5)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f154,f89]) ).
fof(f274,definition,
( sQ13_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( ~ sQ13_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,definition,
( sQ14_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( ~ sQ14_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,definition,
( sQ15_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ15_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,definition,
( sQ16_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ16_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,definition,
( sQ17_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ17_spl
| product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( sQ17_spl
| sQ16_spl
| sQ15_spl
| sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f269,f274,f277,f280,f283,f286]) ).
fof(f290,definition,
( sQ18_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( ~ sQ18_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,definition,
( sQ19_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( ~ sQ19_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f296,definition,
( sQ20_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( ~ sQ20_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,definition,
( sQ21_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( ~ sQ21_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,definition,
( sQ22_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ22_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( sQ22_spl
| sQ21_spl
| sQ20_spl
| sQ19_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f273,f290,f293,f296,f299,f302]) ).
fof(f306,definition,
( sQ23_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( ~ sQ23_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,definition,
( sQ24_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( ~ sQ24_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,definition,
( sQ25_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( ~ sQ25_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,definition,
( sQ26_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ26_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,definition,
( sQ27_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ27_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f270,f306,f309,f312,f315,f318]) ).
fof(f322,definition,
( sQ28_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ28_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,definition,
( sQ29_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( ~ sQ29_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,definition,
( sQ30_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( ~ sQ30_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,definition,
( sQ31_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( ~ sQ31_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,definition,
( sQ32_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ32_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( sQ32_spl
| sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f271,f322,f325,f328,f331,f334]) ).
fof(f338,definition,
( sQ33_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ33_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,definition,
( sQ34_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( ~ sQ34_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,definition,
( sQ35_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f345,plain,
( ~ sQ35_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,definition,
( sQ36_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( ~ sQ36_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,definition,
( sQ37_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( ~ sQ37_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( sQ37_spl
| sQ36_spl
| sQ35_spl
| sQ34_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f272,f338,f341,f344,f347,f350]) ).
fof(f354,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f158,f91]) ).
fof(f355,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_5)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f158,f92]) ).
fof(f356,plain,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f158,f93]) ).
fof(f357,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f158,f90]) ).
fof(f358,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_5)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f158,f89]) ).
fof(f359,definition,
( sQ38_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ38_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ39_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ39_spl
| product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,definition,
( sQ40_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( ~ sQ40_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,definition,
( sQ41_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( ~ sQ41_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,definition,
( sQ42_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( ~ sQ42_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( sQ42_spl
| sQ41_spl
| sQ40_spl
| sQ39_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f358,f359,f362,f365,f368,f371]) ).
fof(f375,definition,
( sQ43_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ43_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,definition,
( sQ44_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( ~ sQ44_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,definition,
( sQ45_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f382,plain,
( ~ sQ45_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,definition,
( sQ46_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( ~ sQ46_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,definition,
( sQ47_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( ~ sQ47_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f357,f375,f378,f381,f384,f387]) ).
fof(f391,definition,
( sQ48_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( ~ sQ48_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,definition,
( sQ49_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f395,plain,
( ~ sQ49_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,definition,
( sQ50_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f398,plain,
( ~ sQ50_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,definition,
( sQ51_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( ~ sQ51_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,definition,
( sQ52_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( ~ sQ52_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( sQ52_spl
| sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f356,f391,f394,f397,f400,f403]) ).
fof(f407,definition,
( sQ53_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ53_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,definition,
( sQ54_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( ~ sQ54_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,definition,
( sQ55_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( ~ sQ55_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,definition,
( sQ56_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( ~ sQ56_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,definition,
( sQ57_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( ~ sQ57_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( sQ57_spl
| sQ56_spl
| sQ55_spl
| sQ54_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f355,f407,f410,f413,f416,f419]) ).
fof(f423,definition,
( sQ58_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( ~ sQ58_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,definition,
( sQ59_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( ~ sQ59_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,definition,
( sQ60_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( ~ sQ60_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,definition,
( sQ61_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( ~ sQ61_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,definition,
( sQ62_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( ~ sQ62_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,plain,
( sQ62_spl
| sQ61_spl
| sQ60_spl
| sQ59_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f354,f423,f426,f429,f432,f435]) ).
fof(f439,plain,
( ~ sQ31_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f332,f170]) ).
fof(f441,plain,
( ~ sQ31_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f332,f148]) ).
fof(f442,plain,
( ~ sQ31_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f332,f141]) ).
fof(f443,plain,
( ~ sQ31_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f332,f131]) ).
fof(f447,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(X0,e_3,e_5)
| product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f332,f122]) ).
fof(f448,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(e_4,e_3,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f332,f122]) ).
fof(f454,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f157,f91]) ).
fof(f455,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f157,f92]) ).
fof(f456,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f157,f93]) ).
fof(f457,plain,
( product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f157,f90]) ).
fof(f458,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f157,f89]) ).
fof(f459,definition,
( sQ63_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( ~ sQ63_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,definition,
( sQ64_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ64_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,definition,
( sQ65_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ65_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,definition,
( sQ66_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ66_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,definition,
( sQ67_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ67_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f455,f459,f462,f465,f468,f471]) ).
fof(f475,definition,
( sQ68_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( ~ sQ68_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,definition,
( sQ69_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( ~ sQ69_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,definition,
( sQ70_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ70_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,definition,
( sQ71_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ71_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ72_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ72_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( sQ72_spl
| sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f456,f475,f478,f481,f484,f487]) ).
fof(f491,definition,
( sQ73_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( ~ sQ73_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
( sQ74_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( ~ sQ74_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,definition,
( sQ75_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ75_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,definition,
( sQ76_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ76_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ77_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ77_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( sQ77_spl
| sQ76_spl
| sQ75_spl
| sQ74_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f454,f491,f494,f497,f500,f503]) ).
fof(f507,definition,
( sQ78_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( ~ sQ78_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,definition,
( sQ79_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( ~ sQ79_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,definition,
( sQ80_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ80_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,definition,
( sQ81_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( ~ sQ81_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,definition,
( sQ82_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ82_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( sQ82_spl
| sQ81_spl
| sQ80_spl
| sQ79_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f458,f507,f510,f513,f516,f519]) ).
fof(f523,definition,
( sQ83_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ83_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ84_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ84_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,definition,
( sQ85_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ85_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,definition,
( sQ86_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ86_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,definition,
( sQ87_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( ~ sQ87_spl
| product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f457,f523,f526,f529,f532,f535]) ).
fof(f546,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_3,e_3,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f319,f122]) ).
fof(f547,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_3,e_3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f546,f123]) ).
fof(f558,plain,
( ~ sQ31_spl
| ~ sQ34_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f342,f447]) ).
fof(f559,plain,
( ~ sQ34_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f342,f131]) ).
fof(f561,plain,
( ~ sQ34_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f342,f164]) ).
fof(f563,plain,
( ~ sQ34_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f342,f142]) ).
fof(f566,plain,
( ~ sQ34_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f563,f339]) ).
fof(f567,plain,
( ~ sQ34_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f566]) ).
fof(f568,plain,
( ~ sQ22_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f303,f166]) ).
fof(f570,plain,
( ~ sQ22_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f303,f131]) ).
fof(f573,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(e_3,e_3,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f303,f122]) ).
fof(f574,plain,
( ~ sQ37_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f351,f131]) ).
fof(f577,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(e_3,e_3,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f351,f122]) ).
fof(f579,plain,
( ~ sQ31_spl
| ~ sQ25_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f313,f448]) ).
fof(f580,plain,
( ~ sQ25_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f313,f138]) ).
fof(f582,plain,
( ~ sQ25_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f313,f123]) ).
fof(f583,plain,
( ~ sQ25_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f313,f131]) ).
fof(f586,plain,
( ~ sQ16_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f284,f547]) ).
fof(f587,plain,
( ~ sQ16_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f586]) ).
fof(f588,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(e_3,e_3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f577,f129]) ).
fof(f589,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(e_3,e_3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f573,f135]) ).
fof(f590,plain,
( ~ sQ14_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f278,f588]) ).
fof(f591,plain,
( ~ sQ14_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f590]) ).
fof(f592,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_5,e_5)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f156,f91]) ).
fof(f593,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_5,e_5)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f156,f92]) ).
fof(f594,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f156,f93]) ).
fof(f595,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f156,f90]) ).
fof(f596,plain,
( product(e_1,e_5,e_2)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f156,f89]) ).
fof(f597,definition,
( sQ88_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f598,plain,
( ~ sQ88_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,definition,
( sQ89_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ89_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,definition,
( sQ90_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ90_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,definition,
( sQ91_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( ~ sQ91_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,definition,
( sQ92_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f610,plain,
( ~ sQ92_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,plain,
( sQ92_spl
| sQ91_spl
| sQ90_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f592,f597,f600,f603,f606,f609]) ).
fof(f613,definition,
( sQ93_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f614,plain,
( ~ sQ93_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f616,definition,
( sQ94_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( ~ sQ94_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f616]) ).
fof(f619,definition,
( sQ95_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f620,plain,
( ~ sQ95_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,definition,
( sQ96_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f623,plain,
( ~ sQ96_spl
| product(e_5,e_5,e_5) ),
inference(component_clause,[status(thm)],[f622]) ).
fof(f625,definition,
( sQ97_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f626,plain,
( ~ sQ97_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,plain,
( sQ97_spl
| sQ96_spl
| sQ95_spl
| sQ94_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f594,f613,f616,f619,f622,f625]) ).
fof(f629,definition,
( sQ98_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f630,plain,
( ~ sQ98_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,definition,
( sQ99_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f633,plain,
( ~ sQ99_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,definition,
( sQ100_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f636,plain,
( ~ sQ100_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,definition,
( sQ101_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f639,plain,
( ~ sQ101_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,definition,
( sQ102_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ102_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,plain,
( sQ102_spl
| sQ101_spl
| sQ100_spl
| sQ99_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f593,f629,f632,f635,f638,f641]) ).
fof(f645,definition,
( sQ103_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f646,plain,
( ~ sQ103_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,definition,
( sQ104_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( ~ sQ104_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,definition,
( sQ105_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f652,plain,
( ~ sQ105_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,definition,
( sQ106_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f655,plain,
( ~ sQ106_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,definition,
( sQ107_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f658,plain,
( ~ sQ107_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f660,plain,
( sQ107_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f595,f645,f648,f651,f654,f657]) ).
fof(f661,definition,
( sQ108_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f662,plain,
( ~ sQ108_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,definition,
( sQ109_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ109_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,definition,
( sQ110_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( ~ sQ110_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,definition,
( sQ111_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f671,plain,
( ~ sQ111_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,definition,
( sQ112_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( ~ sQ112_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,plain,
( sQ112_spl
| sQ111_spl
| sQ110_spl
| sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f596,f661,f664,f667,f670,f673]) ).
fof(f677,plain,
( ~ sQ31_spl
| ~ sQ25_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f579,f170]) ).
fof(f678,plain,
( ~ sQ31_spl
| ~ sQ25_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f579,f163]) ).
fof(f681,plain,
( ~ sQ31_spl
| ~ sQ25_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f579,f140]) ).
fof(f698,plain,
( ~ sQ29_spl
| product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f326,f122]) ).
fof(f704,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f155,f91]) ).
fof(f705,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f155,f92]) ).
fof(f706,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f155,f93]) ).
fof(f707,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f155,f90]) ).
fof(f708,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f155,f89]) ).
fof(f709,definition,
( sQ113_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( ~ sQ113_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,definition,
( sQ114_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( ~ sQ114_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,definition,
( sQ115_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f716,plain,
( ~ sQ115_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,definition,
( sQ116_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( ~ sQ116_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,definition,
( sQ117_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f722,plain,
( ~ sQ117_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,plain,
( sQ117_spl
| sQ116_spl
| sQ115_spl
| sQ114_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f704,f709,f712,f715,f718,f721]) ).
fof(f725,definition,
( sQ118_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( ~ sQ118_spl
| product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f728,definition,
( sQ119_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f729,plain,
( ~ sQ119_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,definition,
( sQ120_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f732,plain,
( ~ sQ120_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,definition,
( sQ121_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ121_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,definition,
( sQ122_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( ~ sQ122_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,plain,
( sQ122_spl
| sQ121_spl
| sQ120_spl
| sQ119_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f705,f725,f728,f731,f734,f737]) ).
fof(f741,definition,
( sQ123_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f742,plain,
( ~ sQ123_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,definition,
( sQ124_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f745,plain,
( ~ sQ124_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,definition,
( sQ125_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f748,plain,
( ~ sQ125_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f750,definition,
( sQ126_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f751,plain,
( ~ sQ126_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,definition,
( sQ127_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( ~ sQ127_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,plain,
( sQ127_spl
| sQ126_spl
| sQ125_spl
| sQ124_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f708,f741,f744,f747,f750,f753]) ).
fof(f757,definition,
( sQ128_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f758,plain,
( ~ sQ128_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,definition,
( sQ129_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f761,plain,
( ~ sQ129_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f763,definition,
( sQ130_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f764,plain,
( ~ sQ130_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f763]) ).
fof(f766,definition,
( sQ131_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f767,plain,
( ~ sQ131_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,definition,
( sQ132_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f770,plain,
( ~ sQ132_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f772,plain,
( sQ132_spl
| sQ131_spl
| sQ130_spl
| sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f706,f757,f760,f763,f766,f769]) ).
fof(f773,definition,
( sQ133_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ133_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,definition,
( sQ134_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f777,plain,
( ~ sQ134_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f779,definition,
( sQ135_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( ~ sQ135_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,definition,
( sQ136_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f783,plain,
( ~ sQ136_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f785,definition,
( sQ137_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f786,plain,
( ~ sQ137_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( sQ137_spl
| sQ136_spl
| sQ135_spl
| sQ134_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f707,f773,f776,f779,f782,f785]) ).
fof(f789,plain,
( ~ sQ15_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f281,f589]) ).
fof(f790,plain,
( ~ sQ15_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f789]) ).
fof(f792,plain,
( ~ sQ23_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f307,f126]) ).
fof(f793,plain,
( ~ sQ23_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f307,f123]) ).
fof(f794,plain,
( ~ sQ23_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f307,f131]) ).
fof(f795,plain,
( ~ sQ23_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f307,f167]) ).
fof(f799,plain,
( ~ sQ23_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f795,f313]) ).
fof(f800,plain,
( ~ sQ23_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f799]) ).
fof(f805,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(e_2,e_3,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f345,f122]) ).
fof(f806,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(e_2,e_3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f805,f131]) ).
fof(f808,plain,
( ~ sQ35_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f345,f806]) ).
fof(f809,plain,
~ sQ35_spl,
inference(contradiction_clause,[status(thm)],[f808]) ).
fof(f820,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_4,e_3,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f316,f122]) ).
fof(f821,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_4,e_3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f820,f125]) ).
fof(f823,plain,
( ~ sQ26_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f316,f821]) ).
fof(f824,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f823]) ).
fof(f825,plain,
( ~ sQ21_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f300,f166]) ).
fof(f826,plain,
( ~ sQ21_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f300,f135]) ).
fof(f827,plain,
( ~ sQ21_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f300,f131]) ).
fof(f832,plain,
! [X0] :
( ~ sQ21_spl
| product(e_1,e_4,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f300,f122]) ).
fof(f833,plain,
( ~ sQ19_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f294,f166]) ).
fof(f834,plain,
( ~ sQ19_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f294,f135]) ).
fof(f835,plain,
( ~ sQ19_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f294,f131]) ).
fof(f837,plain,
( ~ sQ19_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f294,f164]) ).
fof(f840,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(X0,e_3,e_1)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f294,f122]) ).
fof(f841,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(e_5,e_3,X0)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f294,f122]) ).
fof(f842,plain,
( ~ sQ19_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f837,f300]) ).
fof(f843,plain,
( ~ sQ19_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f842]) ).
fof(f844,plain,
( ~ sQ28_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f323,f170]) ).
fof(f845,plain,
( ~ sQ28_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f323,f163]) ).
fof(f846,plain,
( ~ sQ28_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f323,f148]) ).
fof(f850,plain,
( ~ sQ28_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f323,f136]) ).
fof(f853,plain,
( ~ sQ36_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f348,f131]) ).
fof(f854,plain,
( ~ sQ36_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f348,f139]) ).
fof(f857,plain,
! [X0] :
( ~ sQ36_spl
| ~ product(X0,e_3,e_2)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f348,f122]) ).
fof(f858,plain,
! [X0] :
( ~ sQ36_spl
| product(e_2,e_4,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f348,f122]) ).
fof(f859,plain,
( ~ sQ13_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f275,f129]) ).
fof(f860,plain,
( ~ sQ13_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f275,f131]) ).
fof(f863,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(X0,e_3,e_3)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f275,f122]) ).
fof(f865,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(X0,e_3,e_3) ),
inference(forward_subsumption_resolution,[status(thm)],[f863,f136]) ).
fof(f867,plain,
( ~ sQ32_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f335,f865]) ).
fof(f868,plain,
( ~ sQ32_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f867]) ).
fof(f870,plain,
( ~ sQ20_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f297,f135]) ).
fof(f874,plain,
( ~ sQ17_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f287,f129]) ).
fof(f875,plain,
( ~ sQ17_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f287,f131]) ).
fof(f887,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(X0,e_3,e_1)
| product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f291,f122]) ).
fof(f890,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(X0,e_3,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[f887,f137]) ).
fof(f894,plain,
( ~ sQ18_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f291,f890]) ).
fof(f897,plain,
( ~ sQ30_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f329,f170]) ).
fof(f898,plain,
( ~ sQ30_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f329,f163]) ).
fof(f900,plain,
( ~ sQ30_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f329,f141]) ).
fof(f902,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(X0,e_3,e_5)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f329,f122]) ).
fof(f904,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f857,f329]) ).
fof(f905,plain,
( ~ sQ24_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f310,f138]) ).
fof(f906,plain,
( ~ sQ24_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f310,f126]) ).
fof(f907,plain,
( ~ sQ24_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f310,f123]) ).
fof(f908,plain,
( ~ sQ24_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f310,f131]) ).
fof(f912,plain,
( ~ sQ24_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f310,f142]) ).
fof(f913,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(X0,e_3,e_4)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f310,f122]) ).
fof(f914,plain,
! [X0] :
( ~ sQ24_spl
| ~ product(e_5,e_3,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f310,f122]) ).
fof(f918,plain,
( ~ sQ62_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f436,f137]) ).
fof(f919,plain,
( ~ sQ62_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f436,f130]) ).
fof(f922,plain,
( ~ sQ62_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f436,f122]) ).
fof(f927,definition,
( sQ139_spl
<=> cycle(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f928,plain,
( ~ sQ139_spl
| cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f929,plain,
( sQ139_spl
| ~ cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f931,plain,
( ~ sQ62_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f918,f287]) ).
fof(f932,plain,
( ~ sQ62_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f931]) ).
fof(f933,plain,
( sQ139_spl
| ~ group_element(e_3)
| cycle(e_3,e_1)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| cycle(e_3,e_4) ),
inference(resolution,[status(thm)],[f929,f80]) ).
fof(f934,definition,
( sQ140_spl
<=> cycle(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f935,plain,
( ~ sQ140_spl
| cycle(e_3,e_4) ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,definition,
( sQ141_spl
<=> cycle(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( ~ sQ141_spl
| cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,definition,
( sQ142_spl
<=> cycle(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f941,plain,
( ~ sQ142_spl
| cycle(e_3,e_2) ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f943,definition,
( sQ143_spl
<=> cycle(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f944,plain,
( ~ sQ143_spl
| cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f946,definition,
( sQ144_spl
<=> group_element(e_3) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f948,plain,
( sQ144_spl
| ~ group_element(e_3) ),
inference(component_clause,[status(thm)],[f946]) ).
fof(f949,plain,
( sQ139_spl
| ~ sQ144_spl
| sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f933,f934,f937,f940,f943,f946,f927]) ).
fof(f950,plain,
( sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f948,f91]) ).
fof(f951,plain,
sQ144_spl,
inference(contradiction_clause,[status(thm)],[f950]) ).
fof(f955,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f904,f141]) ).
fof(f958,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f904,f124]) ).
fof(f962,plain,
! [X0,X1] :
( ~ sQ142_spl
| ~ next(e_3,X1)
| ~ greater(e_2,e_0)
| ~ product(e_3,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f941,f88]) ).
fof(f964,definition,
! [X0,X1] :
( sQ145_spl
<=> ( ~ next(e_3,X1)
| ~ product(e_3,e_1,X0)
| equalish(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f967,plain,
( ~ sQ142_spl
| ~ sQ10_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f962,f964,f245,f940]) ).
fof(f969,plain,
! [X0,X1] :
( ~ sQ139_spl
| ~ next(e_3,X1)
| ~ greater(e_0,e_0)
| ~ product(e_3,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f928,f88]) ).
fof(f971,plain,
( ~ sQ139_spl
| ~ sQ1_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f969,f964,f182,f927]) ).
fof(f973,plain,
! [X0,X1] :
( ~ sQ143_spl
| ~ next(e_3,X1)
| ~ greater(e_1,e_0)
| ~ product(e_3,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f944,f88]) ).
fof(f975,plain,
( ~ sQ143_spl
| ~ sQ9_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f973,f964,f236,f943]) ).
fof(f977,plain,
! [X0,X1] :
( ~ sQ140_spl
| ~ next(e_3,X1)
| ~ greater(e_4,e_0)
| ~ product(e_3,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f935,f88]) ).
fof(f979,plain,
( ~ sQ140_spl
| ~ sQ12_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f977,f964,f263,f934]) ).
fof(f981,plain,
! [X0,X1] :
( ~ sQ141_spl
| ~ next(e_3,X1)
| ~ greater(e_3,e_0)
| ~ product(e_3,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f938,f88]) ).
fof(f983,plain,
( ~ sQ141_spl
| ~ sQ11_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f981,f964,f254,f937]) ).
fof(f984,plain,
! [X0] :
( equalish(e_4,e_0)
| equalish(X0,e_0)
| ~ group_element(e_5)
| cycle(e_5,e_3)
| cycle(e_5,e_1)
| cycle(e_5,e_2)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f205,f178]) ).
fof(f985,plain,
! [X0,X1,X2,X3,X4] :
( cycle(X2,e_3)
| cycle(X2,e_2)
| ~ next(X2,X4)
| cycle(X2,e_1)
| ~ cycle(X4,X0)
| equalish(X3,e_0)
| equalish(e_4,X1)
| ~ group_element(X2)
| ~ cycle(X2,X3)
| ~ next(X0,X1) ),
inference(resolution,[status(thm)],[f205,f186]) ).
fof(f986,plain,
! [X0,X1,X2,X3] :
( ~ next(X0,X3)
| ~ greater(e_4,e_0)
| ~ product(X0,e_1,X2)
| equalish(X2,X3)
| equalish(X1,e_0)
| ~ group_element(X0)
| cycle(X0,e_3)
| cycle(X0,e_1)
| cycle(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f205,f88]) ).
fof(f987,plain,
! [X0,X1,X2] :
( ~ cycle(X2,X1)
| cycle(X2,e_1)
| ~ group_element(X2)
| ~ cycle(X2,X0)
| cycle(X2,e_2)
| cycle(X2,e_3)
| equalish(X1,e_4)
| equalish(X0,e_0) ),
inference(resolution,[status(thm)],[f205,f79]) ).
fof(f988,definition,
! [X0] :
( sQ146_spl
<=> ( equalish(X0,e_0)
| ~ cycle(e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f991,definition,
( sQ147_spl
<=> equalish(e_4,e_0) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f994,plain,
( sQ147_spl
| ~ sQ8_spl
| sQ5_spl
| sQ7_spl
| sQ6_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f984,f988,f221,f224,f218,f227,f991]) ).
fof(f995,definition,
! [X0,X1,X2,X3] :
( sQ148_spl
<=> ( ~ next(X0,X3)
| ~ product(X0,e_1,X2)
| equalish(X2,X3)
| equalish(X1,e_0)
| ~ group_element(X0)
| cycle(X0,e_3)
| cycle(X0,e_1)
| cycle(X0,e_2)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f996,plain,
! [X0,X1,X2,X3] :
( ~ sQ148_spl
| ~ cycle(X0,X3)
| ~ next(X0,X2)
| cycle(X0,e_2)
| cycle(X0,e_3)
| ~ product(X0,e_1,X1)
| equalish(X3,e_0)
| equalish(X1,X2)
| cycle(X0,e_1)
| ~ group_element(X0) ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f998,plain,
( ~ sQ12_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f986,f995,f263]) ).
fof(f999,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f858,f310]) ).
fof(f1002,plain,
( ~ sQ30_spl
| ~ sQ19_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f841,f329]) ).
fof(f1003,plain,
! [X0,X1,X2,X3] :
( equalish(e_4,e_0)
| cycle(e_5,e_3)
| ~ next(e_5,X3)
| ~ group_element(e_5)
| cycle(e_5,e_2)
| cycle(e_5,e_1)
| ~ cycle(X3,X1)
| ~ cycle(X2,X0)
| ~ greater(e_5,X2)
| ~ greater(X0,X1) ),
inference(resolution,[status(thm)],[f203,f178]) ).
fof(f1004,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ next(X5,X6)
| ~ cycle(X7,X0)
| cycle(X5,e_2)
| ~ greater(X5,X4)
| ~ next(X5,X7)
| equalish(e_4,X1)
| cycle(X5,e_1)
| ~ cycle(X6,X3)
| cycle(X5,e_3)
| ~ group_element(X5)
| ~ cycle(X4,X2)
| ~ greater(X2,X3)
| ~ next(X0,X1) ),
inference(resolution,[status(thm)],[f203,f186]) ).
fof(f1005,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ next(X2,X6)
| ~ greater(e_4,e_0)
| ~ product(X2,e_1,X5)
| equalish(X5,X6)
| cycle(X2,e_3)
| ~ next(X2,X4)
| ~ group_element(X2)
| cycle(X2,e_2)
| cycle(X2,e_1)
| ~ cycle(X4,X1)
| ~ cycle(X3,X0)
| ~ greater(X2,X3)
| ~ greater(X0,X1) ),
inference(resolution,[status(thm)],[f203,f88]) ).
fof(f1006,plain,
! [X0,X1,X2,X3,X4,X5] :
( cycle(X0,e_2)
| ~ greater(X0,X4)
| ~ next(X0,X2)
| ~ group_element(X0)
| ~ greater(X5,X3)
| ~ cycle(X4,X5)
| cycle(X0,e_3)
| ~ cycle(X2,X3)
| equalish(X1,e_4)
| ~ cycle(X0,X1)
| cycle(X0,e_1) ),
inference(resolution,[status(thm)],[f203,f79]) ).
fof(f1007,definition,
! [X0,X1,X2,X3] :
( sQ149_spl
<=> ( ~ next(e_5,X3)
| ~ cycle(X3,X1)
| ~ cycle(X2,X0)
| ~ greater(e_5,X2)
| ~ greater(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1010,plain,
( sQ147_spl
| sQ5_spl
| ~ sQ8_spl
| sQ6_spl
| sQ7_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f1003,f1007,f224,f221,f227,f218,f991]) ).
fof(f1011,definition,
! [X0,X1,X2,X3,X4,X5,X6] :
( sQ150_spl
<=> ( ~ next(X2,X6)
| ~ product(X2,e_1,X5)
| equalish(X5,X6)
| cycle(X2,e_3)
| ~ next(X2,X4)
| ~ group_element(X2)
| cycle(X2,e_2)
| cycle(X2,e_1)
| ~ cycle(X4,X1)
| ~ cycle(X3,X0)
| ~ greater(X2,X3)
| ~ greater(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1012,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ150_spl
| ~ cycle(X3,X6)
| ~ greater(X2,X6)
| cycle(X0,e_3)
| equalish(X4,X5)
| cycle(X0,e_1)
| ~ group_element(X0)
| ~ next(X0,X5)
| cycle(X0,e_2)
| ~ product(X0,e_1,X4)
| ~ next(X0,X3)
| ~ cycle(X1,X2)
| ~ greater(X0,X1) ),
inference(component_clause,[status(thm)],[f1011]) ).
fof(f1014,plain,
( ~ sQ12_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1005,f1011,f263]) ).
fof(f1041,plain,
( ~ sQ54_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f411,f138]) ).
fof(f1042,plain,
( ~ sQ54_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f411,f126]) ).
fof(f1044,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ54_spl
| cycle(e_4,e_2)
| ~ next(e_4,X0)
| cycle(e_4,e_1)
| cycle(e_4,e_4)
| ~ group_element(e_4)
| cycle(e_4,e_3)
| equalish(e_1,X0) ),
inference(resolution,[status(thm)],[f411,f207]) ).
fof(f1045,plain,
( ~ sQ54_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f411,f168]) ).
fof(f1046,plain,
( ~ sQ54_spl
| ~ cycle(e_4,e_0)
| ~ greater(e_1,e_4) ),
inference(resolution,[status(thm)],[f411,f86]) ).
fof(f1047,plain,
( ~ sQ54_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f411,f137]) ).
fof(f1052,definition,
! [X0] :
( sQ151_spl
<=> ( ~ next(e_4,X0)
| equalish(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1055,definition,
( sQ152_spl
<=> cycle(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1056,plain,
( ~ sQ152_spl
| cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f1055]) ).
fof(f1058,definition,
( sQ153_spl
<=> group_element(e_4) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1060,plain,
( sQ153_spl
| ~ group_element(e_4) ),
inference(component_clause,[status(thm)],[f1058]) ).
fof(f1061,definition,
( sQ154_spl
<=> cycle(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1062,plain,
( ~ sQ154_spl
| cycle(e_4,e_4) ),
inference(component_clause,[status(thm)],[f1061]) ).
fof(f1064,definition,
( sQ155_spl
<=> cycle(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1065,plain,
( ~ sQ155_spl
| cycle(e_4,e_1) ),
inference(component_clause,[status(thm)],[f1064]) ).
fof(f1066,plain,
( sQ155_spl
| ~ cycle(e_4,e_1) ),
inference(component_clause,[status(thm)],[f1064]) ).
fof(f1067,definition,
( sQ156_spl
<=> cycle(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1068,plain,
( ~ sQ156_spl
| cycle(e_4,e_2) ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,plain,
( ~ sQ2_spl
| ~ sQ54_spl
| sQ156_spl
| sQ155_spl
| sQ154_spl
| ~ sQ153_spl
| sQ152_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f1044,f1052,f1055,f1058,f1061,f1064,f1067,f410,f206]) ).
fof(f1072,definition,
( sQ157_spl
<=> greater(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1075,definition,
( sQ158_spl
<=> cycle(e_4,e_0) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1076,plain,
( ~ sQ158_spl
| cycle(e_4,e_0) ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1077,plain,
( sQ158_spl
| ~ cycle(e_4,e_0) ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1078,plain,
( ~ sQ54_spl
| ~ sQ158_spl
| ~ sQ157_spl ),
inference(split_clause,[status(thm)],[f1046,f1072,f1075,f410]) ).
fof(f1079,plain,
( sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1060,f92]) ).
fof(f1080,plain,
sQ153_spl,
inference(contradiction_clause,[status(thm)],[f1079]) ).
fof(f1082,plain,
! [X0,X1] :
( ~ sQ152_spl
| ~ next(e_4,X1)
| ~ greater(e_3,e_0)
| ~ product(e_4,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f1056,f88]) ).
fof(f1084,definition,
! [X0,X1] :
( sQ159_spl
<=> ( ~ next(e_4,X1)
| ~ product(e_4,e_1,X0)
| equalish(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1087,plain,
( ~ sQ152_spl
| ~ sQ11_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1082,f1084,f254,f1055]) ).
fof(f1089,plain,
! [X0,X1] :
( ~ sQ156_spl
| ~ next(e_4,X1)
| ~ greater(e_2,e_0)
| ~ product(e_4,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f1068,f88]) ).
fof(f1091,plain,
( ~ sQ156_spl
| ~ sQ10_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1089,f1084,f245,f1067]) ).
fof(f1093,plain,
! [X0,X1] :
( ~ sQ154_spl
| ~ next(e_4,X1)
| ~ greater(e_4,e_0)
| ~ product(e_4,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f1062,f88]) ).
fof(f1095,plain,
( ~ sQ154_spl
| ~ sQ12_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1093,f1084,f263,f1061]) ).
fof(f1096,plain,
( ~ sQ24_spl
| ~ sQ30_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f902,f310]) ).
fof(f1098,plain,
! [X0,X1] :
( ~ sQ155_spl
| ~ next(e_4,X1)
| ~ greater(e_1,e_0)
| ~ product(e_4,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f1065,f88]) ).
fof(f1100,plain,
( ~ sQ155_spl
| ~ sQ9_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1098,f1084,f236,f1064]) ).
fof(f1101,plain,
( ~ sQ30_spl
| ~ sQ24_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f914,f329]) ).
fof(f1103,plain,
( ~ sQ41_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f369,f135]) ).
fof(f1105,plain,
( ~ sQ41_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f369,f168]) ).
fof(f1106,plain,
( ~ sQ41_spl
| ~ cycle(e_1,e_0)
| ~ greater(e_2,e_1) ),
inference(resolution,[status(thm)],[f369,f86]) ).
fof(f1107,plain,
( ~ sQ41_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f369,f137]) ).
fof(f1114,definition,
( sQ161_spl
<=> cycle(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1115,plain,
( ~ sQ161_spl
| cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f1114]) ).
fof(f1117,definition,
( sQ162_spl
<=> group_element(e_1) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1119,plain,
( sQ162_spl
| ~ group_element(e_1) ),
inference(component_clause,[status(thm)],[f1117]) ).
fof(f1120,definition,
( sQ163_spl
<=> cycle(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1121,plain,
( ~ sQ163_spl
| cycle(e_1,e_4) ),
inference(component_clause,[status(thm)],[f1120]) ).
fof(f1123,definition,
( sQ164_spl
<=> cycle(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1124,plain,
( ~ sQ164_spl
| cycle(e_1,e_1) ),
inference(component_clause,[status(thm)],[f1123]) ).
fof(f1125,plain,
( sQ164_spl
| ~ cycle(e_1,e_1) ),
inference(component_clause,[status(thm)],[f1123]) ).
fof(f1126,definition,
( sQ165_spl
<=> cycle(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1127,plain,
( ~ sQ165_spl
| cycle(e_1,e_2) ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1130,definition,
( sQ166_spl
<=> greater(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1132,plain,
( sQ166_spl
| ~ greater(e_2,e_1) ),
inference(component_clause,[status(thm)],[f1130]) ).
fof(f1133,definition,
( sQ167_spl
<=> cycle(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1134,plain,
( ~ sQ167_spl
| cycle(e_1,e_0) ),
inference(component_clause,[status(thm)],[f1133]) ).
fof(f1135,plain,
( sQ167_spl
| ~ cycle(e_1,e_0) ),
inference(component_clause,[status(thm)],[f1133]) ).
fof(f1136,plain,
( ~ sQ41_spl
| ~ sQ167_spl
| ~ sQ166_spl ),
inference(split_clause,[status(thm)],[f1106,f1130,f1133,f368]) ).
fof(f1137,plain,
( sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1132,f68]) ).
fof(f1138,plain,
sQ166_spl,
inference(contradiction_clause,[status(thm)],[f1137]) ).
fof(f1139,plain,
( sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1119,f89]) ).
fof(f1140,plain,
sQ162_spl,
inference(contradiction_clause,[status(thm)],[f1139]) ).
fof(f1141,plain,
( sQ158_spl
| ~ group_element(e_4)
| cycle(e_4,e_1)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| cycle(e_4,e_4) ),
inference(resolution,[status(thm)],[f1077,f80]) ).
fof(f1142,plain,
( sQ158_spl
| ~ sQ153_spl
| sQ155_spl
| sQ156_spl
| sQ152_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f1141,f1061,f1055,f1067,f1064,f1058,f1075]) ).
fof(f1144,plain,
! [X0,X1] :
( ~ sQ164_spl
| ~ next(e_1,X1)
| ~ greater(e_1,e_0)
| ~ product(e_1,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f1124,f88]) ).
fof(f1146,definition,
! [X0,X1] :
( sQ168_spl
<=> ( ~ next(e_1,X1)
| ~ product(e_1,e_1,X0)
| equalish(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1149,plain,
( ~ sQ164_spl
| ~ sQ9_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1144,f1146,f236,f1123]) ).
fof(f1150,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f999,f140]) ).
fof(f1153,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f999,f171]) ).
fof(f1160,plain,
! [X0,X1] :
( ~ sQ163_spl
| ~ next(e_1,X1)
| ~ greater(e_4,e_0)
| ~ product(e_1,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f1121,f88]) ).
fof(f1162,plain,
( ~ sQ163_spl
| ~ sQ12_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1160,f1146,f263,f1120]) ).
fof(f1166,plain,
( ~ sQ30_spl
| ~ sQ19_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1002,f165]) ).
fof(f1172,plain,
! [X0,X1] :
( ~ sQ165_spl
| ~ next(e_1,X1)
| ~ greater(e_2,e_0)
| ~ product(e_1,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f1127,f88]) ).
fof(f1174,plain,
( ~ sQ165_spl
| ~ sQ10_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1172,f1146,f245,f1126]) ).
fof(f1175,plain,
( sQ167_spl
| ~ group_element(e_1)
| cycle(e_1,e_1)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| cycle(e_1,e_4) ),
inference(resolution,[status(thm)],[f1135,f80]) ).
fof(f1176,plain,
( sQ167_spl
| ~ sQ162_spl
| sQ164_spl
| sQ165_spl
| sQ161_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1175,f1120,f1114,f1126,f1123,f1117,f1133]) ).
fof(f1178,plain,
! [X0,X1] :
( ~ sQ161_spl
| ~ next(e_1,X1)
| ~ greater(e_3,e_0)
| ~ product(e_1,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f1115,f88]) ).
fof(f1180,plain,
( ~ sQ161_spl
| ~ sQ11_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1178,f1146,f254,f1114]) ).
fof(f1182,plain,
! [X0,X1] :
( ~ sQ158_spl
| ~ next(e_4,X1)
| ~ greater(e_0,e_0)
| ~ product(e_4,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f1076,f88]) ).
fof(f1184,plain,
( ~ sQ158_spl
| ~ sQ1_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1182,f1084,f182,f1075]) ).
fof(f1185,plain,
( ~ sQ24_spl
| ~ sQ30_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f1096,f138]) ).
fof(f1190,plain,
( ~ sQ24_spl
| ~ sQ30_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f1096,f150]) ).
fof(f1191,plain,
( ~ sQ24_spl
| ~ sQ30_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f1096,f143]) ).
fof(f1196,plain,
( ~ sQ30_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f900,f296,f328]) ).
fof(f1197,plain,
( ~ sQ21_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f825,f348]) ).
fof(f1198,plain,
( ~ sQ21_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1197]) ).
fof(f1199,plain,
( ~ sQ23_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f307,f912]) ).
fof(f1200,plain,
( ~ sQ23_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f1199]) ).
fof(f1201,plain,
( ~ sQ34_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f561,f348]) ).
fof(f1202,plain,
( ~ sQ34_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1201]) ).
fof(f1204,plain,
! [X0,X1] :
( ~ sQ167_spl
| ~ next(e_1,X1)
| ~ greater(e_0,e_0)
| ~ product(e_1,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f1134,f88]) ).
fof(f1206,plain,
( ~ sQ167_spl
| ~ sQ1_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1204,f1146,f182,f1133]) ).
fof(f1212,plain,
( ~ sQ61_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f433,f168]) ).
fof(f1213,plain,
( ~ sQ61_spl
| ~ cycle(e_3,e_0)
| ~ greater(e_2,e_3) ),
inference(resolution,[status(thm)],[f433,f86]) ).
fof(f1215,plain,
! [X0] :
( ~ sQ61_spl
| product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f433,f122]) ).
fof(f1217,definition,
( sQ169_spl
<=> greater(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1220,plain,
( ~ sQ61_spl
| ~ sQ139_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f1213,f1217,f927,f432]) ).
fof(f1221,plain,
( ~ sQ51_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f401,f170]) ).
fof(f1222,plain,
( ~ sQ51_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f401,f163]) ).
fof(f1224,plain,
( ~ sQ51_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f401,f141]) ).
fof(f1226,plain,
( ~ sQ51_spl
| ~ cycle(e_5,e_0)
| ~ greater(e_2,e_5) ),
inference(resolution,[status(thm)],[f401,f86]) ).
fof(f1227,plain,
( ~ sQ51_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f401,f137]) ).
fof(f1229,plain,
! [X0] :
( ~ sQ51_spl
| ~ product(e_2,e_1,X0)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f401,f122]) ).
fof(f1230,plain,
( ~ sQ51_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1221,f433]) ).
fof(f1231,plain,
( ~ sQ51_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1230]) ).
fof(f1232,definition,
( sQ170_spl
<=> greater(e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1235,definition,
( sQ171_spl
<=> cycle(e_5,e_0) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1237,plain,
( sQ171_spl
| ~ cycle(e_5,e_0) ),
inference(component_clause,[status(thm)],[f1235]) ).
fof(f1238,plain,
( ~ sQ51_spl
| ~ sQ171_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f1226,f1232,f1235,f400]) ).
fof(f1239,plain,
( sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1237,f81]) ).
fof(f1240,plain,
sQ171_spl,
inference(contradiction_clause,[status(thm)],[f1239]) ).
fof(f1253,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(X0,e_1,e_5)
| product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f398,f122]) ).
fof(f1256,plain,
! [X0] :
( ~ sQ50_spl
| ~ product(X0,e_1,e_5) ),
inference(forward_subsumption_resolution,[status(thm)],[f1253,f143]) ).
fof(f1263,plain,
( ~ sQ50_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f398,f1256]) ).
fof(f1264,plain,
~ sQ50_spl,
inference(contradiction_clause,[status(thm)],[f1263]) ).
fof(f1275,plain,
( ~ sQ47_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f388,f168]) ).
fof(f1276,plain,
( ~ sQ47_spl
| ~ cycle(e_2,e_0)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f388,f86]) ).
fof(f1277,plain,
( ~ sQ47_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f388,f137]) ).
fof(f1279,plain,
! [X0] :
( ~ sQ47_spl
| product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f388,f122]) ).
fof(f1280,plain,
! [X0] :
( ~ sQ47_spl
| product(e_2,e_3,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f388,f122]) ).
fof(f1281,definition,
( sQ173_spl
<=> greater(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1283,plain,
( sQ173_spl
| ~ greater(e_3,e_2) ),
inference(component_clause,[status(thm)],[f1281]) ).
fof(f1284,definition,
( sQ174_spl
<=> cycle(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1286,plain,
( sQ174_spl
| ~ cycle(e_2,e_0) ),
inference(component_clause,[status(thm)],[f1284]) ).
fof(f1287,plain,
( ~ sQ47_spl
| ~ sQ174_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f1276,f1281,f1284,f387]) ).
fof(f1288,plain,
( sQ173_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1283,f72]) ).
fof(f1289,plain,
sQ173_spl,
inference(contradiction_clause,[status(thm)],[f1288]) ).
fof(f1290,plain,
( sQ174_spl
| ~ group_element(e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_2)
| cycle(e_2,e_3)
| cycle(e_2,e_4) ),
inference(resolution,[status(thm)],[f1286,f80]) ).
fof(f1291,definition,
( sQ175_spl
<=> cycle(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1292,plain,
( ~ sQ175_spl
| cycle(e_2,e_4) ),
inference(component_clause,[status(thm)],[f1291]) ).
fof(f1294,definition,
( sQ176_spl
<=> cycle(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1295,plain,
( ~ sQ176_spl
| cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f1294]) ).
fof(f1297,definition,
( sQ177_spl
<=> cycle(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1298,plain,
( ~ sQ177_spl
| cycle(e_2,e_2) ),
inference(component_clause,[status(thm)],[f1297]) ).
fof(f1300,definition,
( sQ178_spl
<=> cycle(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1301,plain,
( ~ sQ178_spl
| cycle(e_2,e_1) ),
inference(component_clause,[status(thm)],[f1300]) ).
fof(f1303,definition,
( sQ179_spl
<=> group_element(e_2) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1305,plain,
( sQ179_spl
| ~ group_element(e_2) ),
inference(component_clause,[status(thm)],[f1303]) ).
fof(f1306,plain,
( sQ174_spl
| ~ sQ179_spl
| sQ178_spl
| sQ177_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1290,f1291,f1294,f1297,f1300,f1303,f1284]) ).
fof(f1307,plain,
( sQ179_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1305,f90]) ).
fof(f1308,plain,
sQ179_spl,
inference(contradiction_clause,[status(thm)],[f1307]) ).
fof(f1310,plain,
! [X0,X1] :
( ~ sQ175_spl
| ~ next(e_2,X1)
| ~ greater(e_4,e_0)
| ~ product(e_2,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f1292,f88]) ).
fof(f1312,definition,
! [X0,X1] :
( sQ180_spl
<=> ( ~ next(e_2,X1)
| ~ product(e_2,e_1,X0)
| equalish(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1315,plain,
( ~ sQ175_spl
| ~ sQ12_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1310,f1312,f263,f1291]) ).
fof(f1317,plain,
! [X0,X1] :
( ~ sQ178_spl
| ~ next(e_2,X1)
| ~ greater(e_1,e_0)
| ~ product(e_2,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f1301,f88]) ).
fof(f1319,plain,
( ~ sQ178_spl
| ~ sQ9_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1317,f1312,f236,f1300]) ).
fof(f1321,plain,
! [X0,X1] :
( ~ sQ176_spl
| ~ next(e_2,X1)
| ~ greater(e_3,e_0)
| ~ product(e_2,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f1295,f88]) ).
fof(f1323,plain,
( ~ sQ176_spl
| ~ sQ11_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1321,f1312,f254,f1294]) ).
fof(f1325,plain,
! [X0,X1] :
( ~ sQ177_spl
| ~ next(e_2,X1)
| ~ greater(e_2,e_0)
| ~ product(e_2,e_1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f1298,f88]) ).
fof(f1327,plain,
( ~ sQ177_spl
| ~ sQ10_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1325,f1312,f245,f1297]) ).
fof(f1328,plain,
( ~ sQ38_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f360,f166]) ).
fof(f1329,plain,
( ~ sQ38_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f360,f135]) ).
fof(f1330,plain,
( ~ sQ38_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f360,f168]) ).
fof(f1331,plain,
( ~ sQ38_spl
| ~ cycle(e_1,e_0)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f360,f86]) ).
fof(f1332,plain,
( ~ sQ38_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f360,f137]) ).
fof(f1335,plain,
( ~ sQ38_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f360,f124]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ38_spl
| ~ product(X0,e_1,e_1)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f360,f122]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ38_spl
| ~ product(X0,e_1,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1336,f139]) ).
fof(f1339,definition,
( sQ181_spl
<=> greater(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1341,plain,
( sQ181_spl
| ~ greater(e_4,e_1) ),
inference(component_clause,[status(thm)],[f1339]) ).
fof(f1342,plain,
( ~ sQ38_spl
| ~ sQ167_spl
| ~ sQ181_spl ),
inference(split_clause,[status(thm)],[f1331,f1339,f1133,f359]) ).
fof(f1343,plain,
( sQ181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1341,f70]) ).
fof(f1344,plain,
sQ181_spl,
inference(contradiction_clause,[status(thm)],[f1343]) ).
fof(f1345,plain,
! [X0] :
( ~ sQ38_spl
| product(X0,e_1,e_2)
| ~ group_element(X0)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4)
| product(X0,e_1,e_5) ),
inference(backward_subsumption_resolution,[status(thm)],[f158,f1338]) ).
fof(f1346,plain,
( ~ sQ44_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f379,f1338]) ).
fof(f1347,plain,
( ~ sQ44_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1346]) ).
fof(f1348,plain,
( ~ sQ48_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f392,f170]) ).
fof(f1350,plain,
( ~ sQ48_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f392,f148]) ).
fof(f1351,plain,
( ~ sQ48_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f392,f141]) ).
fof(f1352,plain,
( ~ sQ48_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f392,f168]) ).
fof(f1353,plain,
( ~ sQ48_spl
| ~ cycle(e_5,e_0)
| ~ greater(e_4,e_5) ),
inference(resolution,[status(thm)],[f392,f86]) ).
fof(f1354,plain,
( ~ sQ48_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f392,f137]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ48_spl
| ~ product(X0,e_1,e_5)
| product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f392,f122]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ48_spl
| ~ product(e_4,e_1,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f392,f122]) ).
fof(f1360,definition,
( sQ182_spl
<=> greater(e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1363,plain,
( ~ sQ48_spl
| ~ sQ171_spl
| ~ sQ182_spl ),
inference(split_clause,[status(thm)],[f1353,f1360,f1235,f391]) ).
fof(f1370,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(e_2,e_1,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f385,f122]) ).
fof(f1375,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(e_2,e_1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1370,f168]) ).
fof(f1377,plain,
( ~ sQ46_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f385,f1375]) ).
fof(f1379,plain,
~ sQ46_spl,
inference(contradiction_clause,[status(thm)],[f1377]) ).
fof(f1392,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_4,e_1,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f408,f122]) ).
fof(f1393,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_4,e_1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1392,f140]) ).
fof(f1399,plain,
( ~ sQ53_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f408,f1393]) ).
fof(f1400,plain,
~ sQ53_spl,
inference(contradiction_clause,[status(thm)],[f1399]) ).
fof(f1401,plain,
( ~ sQ39_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f363,f166]) ).
fof(f1402,plain,
( ~ sQ39_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f363,f135]) ).
fof(f1403,plain,
( ~ sQ39_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f363,f168]) ).
fof(f1404,plain,
( ~ sQ39_spl
| ~ cycle(e_1,e_0)
| ~ greater(e_1,e_1) ),
inference(resolution,[status(thm)],[f363,f86]) ).
fof(f1412,definition,
( sQ185_spl
<=> greater(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1415,plain,
( ~ sQ39_spl
| ~ sQ167_spl
| ~ sQ185_spl ),
inference(split_clause,[status(thm)],[f1404,f1412,f1133,f362]) ).
fof(f1426,plain,
( ~ sQ40_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f366,f166]) ).
fof(f1427,plain,
( ~ sQ40_spl
| ~ product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f366,f135]) ).
fof(f1428,plain,
( ~ sQ40_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f366,f168]) ).
fof(f1429,plain,
( ~ sQ40_spl
| ~ cycle(e_1,e_0)
| ~ greater(e_5,e_1) ),
inference(resolution,[status(thm)],[f366,f86]) ).
fof(f1430,plain,
( ~ sQ40_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f366,f137]) ).
fof(f1434,plain,
( ~ sQ40_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f366,f142]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(X0,e_1,e_1)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f366,f122]) ).
fof(f1437,plain,
( ~ sQ40_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1434,f363]) ).
fof(f1438,plain,
( ~ sQ40_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1437]) ).
fof(f1439,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(X0,e_1,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1435,f142]) ).
fof(f1440,definition,
( sQ186_spl
<=> greater(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1442,plain,
( sQ186_spl
| ~ greater(e_5,e_1) ),
inference(component_clause,[status(thm)],[f1440]) ).
fof(f1443,plain,
( ~ sQ40_spl
| ~ sQ167_spl
| ~ sQ186_spl ),
inference(split_clause,[status(thm)],[f1429,f1440,f1133,f365]) ).
fof(f1444,plain,
( ~ sQ40_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1430,f293,f365]) ).
fof(f1445,plain,
( sQ186_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1442,f71]) ).
fof(f1446,plain,
sQ186_spl,
inference(contradiction_clause,[status(thm)],[f1445]) ).
fof(f1449,plain,
( ~ sQ49_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f395,f148]) ).
fof(f1450,plain,
( ~ sQ49_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f395,f141]) ).
fof(f1451,plain,
( ~ sQ49_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f395,f168]) ).
fof(f1452,plain,
( ~ sQ49_spl
| ~ cycle(e_5,e_0)
| ~ greater(e_1,e_5) ),
inference(resolution,[status(thm)],[f395,f86]) ).
fof(f1453,plain,
( ~ sQ49_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f395,f137]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ49_spl
| product(X0,e_5,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f395,f122]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(e_1,e_1,X0)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f395,f122]) ).
fof(f1458,definition,
( sQ187_spl
<=> greater(e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1461,plain,
( ~ sQ49_spl
| ~ sQ171_spl
| ~ sQ187_spl ),
inference(split_clause,[status(thm)],[f1452,f1458,f1235,f394]) ).
fof(f1462,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(e_1,e_1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1457,f141]) ).
fof(f1463,plain,
( ~ sQ56_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f417,f138]) ).
fof(f1465,plain,
( ~ sQ56_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f417,f123]) ).
fof(f1466,plain,
( ~ sQ47_spl
| ~ sQ56_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f417,f1279]) ).
fof(f1467,plain,
( ~ sQ56_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f417,f168]) ).
fof(f1468,plain,
( ~ sQ56_spl
| ~ cycle(e_4,e_0)
| ~ greater(e_2,e_4) ),
inference(resolution,[status(thm)],[f417,f86]) ).
fof(f1469,plain,
( ~ sQ56_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f417,f137]) ).
fof(f1472,definition,
( sQ188_spl
<=> greater(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1475,plain,
( ~ sQ56_spl
| ~ sQ158_spl
| ~ sQ188_spl ),
inference(split_clause,[status(thm)],[f1468,f1472,f1075,f416]) ).
fof(f1476,plain,
( ~ sQ56_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1469,f312,f416]) ).
fof(f1477,plain,
( ~ sQ23_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f307,f845]) ).
fof(f1478,plain,
( ~ sQ23_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1477]) ).
fof(f1480,plain,
( ~ sQ31_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f442,f299,f331]) ).
fof(f1481,plain,
( ~ sQ30_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f898,f312,f328]) ).
fof(f1483,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f894]) ).
fof(f1485,plain,
( ~ sQ47_spl
| ~ sQ58_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f424,f1280]) ).
fof(f1486,plain,
( ~ sQ58_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f424,f129]) ).
fof(f1487,plain,
( ~ sQ58_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f424,f168]) ).
fof(f1488,plain,
( ~ sQ58_spl
| ~ cycle(e_3,e_0)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f424,f86]) ).
fof(f1489,plain,
( ~ sQ58_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f424,f137]) ).
fof(f1495,definition,
( sQ189_spl
<=> greater(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1497,plain,
( sQ189_spl
| ~ greater(e_4,e_3) ),
inference(component_clause,[status(thm)],[f1495]) ).
fof(f1498,plain,
( ~ sQ58_spl
| ~ sQ139_spl
| ~ sQ189_spl ),
inference(split_clause,[status(thm)],[f1488,f1495,f927,f423]) ).
fof(f1499,plain,
( ~ sQ47_spl
| ~ sQ58_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1485,f347,f423,f387]) ).
fof(f1500,plain,
( ~ sQ23_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f792,f338,f306]) ).
fof(f1501,plain,
( ~ sQ36_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f854,f338,f347]) ).
fof(f1502,plain,
( sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1497,f75]) ).
fof(f1503,plain,
sQ189_spl,
inference(contradiction_clause,[status(thm)],[f1502]) ).
fof(f1504,plain,
( ~ sQ24_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f906,f341,f309]) ).
fof(f1505,plain,
( ~ sQ25_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f580,f296,f312]) ).
fof(f1508,plain,
( ~ sQ59_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f427,f168]) ).
fof(f1509,plain,
( ~ sQ59_spl
| ~ cycle(e_3,e_0)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f427,f86]) ).
fof(f1510,plain,
( ~ sQ59_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f427,f137]) ).
fof(f1514,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(e_1,e_1,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f427,f122]) ).
fof(f1515,definition,
( sQ190_spl
<=> greater(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1518,plain,
( ~ sQ59_spl
| ~ sQ139_spl
| ~ sQ190_spl ),
inference(split_clause,[status(thm)],[f1509,f1515,f927,f426]) ).
fof(f1519,plain,
( ~ sQ48_spl
| ~ sQ57_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f420,f1359]) ).
fof(f1520,plain,
( ~ sQ57_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f420,f138]) ).
fof(f1521,plain,
( ~ sQ57_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f420,f126]) ).
fof(f1522,plain,
( ~ sQ57_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f420,f123]) ).
fof(f1523,plain,
( ~ sQ57_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f420,f168]) ).
fof(f1524,plain,
( ~ sQ57_spl
| ~ cycle(e_4,e_0)
| ~ greater(e_3,e_4) ),
inference(resolution,[status(thm)],[f420,f86]) ).
fof(f1529,definition,
( sQ191_spl
<=> greater(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1532,plain,
( ~ sQ57_spl
| ~ sQ158_spl
| ~ sQ191_spl ),
inference(split_clause,[status(thm)],[f1524,f1529,f1075,f419]) ).
fof(f1533,plain,
( ~ sQ60_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f430,f129]) ).
fof(f1534,plain,
( ~ sQ49_spl
| ~ sQ60_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f430,f1456]) ).
fof(f1535,plain,
( ~ sQ48_spl
| ~ sQ60_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f430,f1358]) ).
fof(f1536,plain,
( ~ sQ60_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f430,f168]) ).
fof(f1537,plain,
( ~ sQ60_spl
| ~ cycle(e_3,e_0)
| ~ greater(e_5,e_3) ),
inference(resolution,[status(thm)],[f430,f86]) ).
fof(f1538,plain,
( ~ sQ60_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f430,f137]) ).
fof(f1542,plain,
( ~ sQ60_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f430,f142]) ).
fof(f1545,definition,
( sQ192_spl
<=> greater(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1547,plain,
( sQ192_spl
| ~ greater(e_5,e_3) ),
inference(component_clause,[status(thm)],[f1545]) ).
fof(f1548,plain,
( ~ sQ60_spl
| ~ sQ139_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f1537,f1545,f927,f429]) ).
fof(f1549,plain,
( ~ sQ60_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1542,f427]) ).
fof(f1550,plain,
( ~ sQ60_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1549]) ).
fof(f1551,plain,
( sQ192_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1547,f76]) ).
fof(f1552,plain,
sQ192_spl,
inference(contradiction_clause,[status(thm)],[f1551]) ).
fof(f1564,plain,
( ~ sQ48_spl
| ~ sQ45_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f382,f1358]) ).
fof(f1565,plain,
( ~ sQ45_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f382,f168]) ).
fof(f1566,plain,
( ~ sQ45_spl
| ~ cycle(e_2,e_0)
| ~ greater(e_5,e_2) ),
inference(resolution,[status(thm)],[f382,f86]) ).
fof(f1567,plain,
( ~ sQ45_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f382,f137]) ).
fof(f1571,plain,
( ~ sQ45_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f382,f142]) ).
fof(f1574,definition,
( sQ193_spl
<=> greater(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1576,plain,
( sQ193_spl
| ~ greater(e_5,e_2) ),
inference(component_clause,[status(thm)],[f1574]) ).
fof(f1577,plain,
( ~ sQ45_spl
| ~ sQ174_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f1566,f1574,f1284,f381]) ).
fof(f1578,plain,
( ~ sQ45_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1567,f341,f381]) ).
fof(f1579,plain,
( ~ sQ31_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f332,f1354]) ).
fof(f1580,plain,
( ~ sQ31_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1579]) ).
fof(f1581,plain,
( sQ193_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1576,f74]) ).
fof(f1582,plain,
sQ193_spl,
inference(contradiction_clause,[status(thm)],[f1581]) ).
fof(f1588,plain,
( ~ sQ29_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f698,f172]) ).
fof(f1600,plain,
~ sQ29_spl,
inference(split_clause,[status(thm)],[f1588,f325]) ).
fof(f1601,plain,
( ~ sQ49_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1453,f322,f394]) ).
fof(f1602,plain,
( ~ sQ31_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f441,f347,f331]) ).
fof(f1603,plain,
( ~ sQ55_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f414,f138]) ).
fof(f1604,plain,
( ~ sQ55_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f414,f126]) ).
fof(f1605,plain,
( ~ sQ55_spl
| ~ product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f414,f123]) ).
fof(f1607,plain,
( ~ sQ55_spl
| ~ cycle(e_4,e_0)
| ~ greater(e_5,e_4) ),
inference(resolution,[status(thm)],[f414,f86]) ).
fof(f1608,plain,
( ~ sQ55_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f414,f137]) ).
fof(f1609,plain,
( ~ sQ55_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f414,f171]) ).
fof(f1614,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(e_5,e_1,X0)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f414,f122]) ).
fof(f1615,plain,
( ~ sQ55_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1605,f429,f413]) ).
fof(f1616,definition,
( sQ194_spl
<=> greater(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1618,plain,
( sQ194_spl
| ~ greater(e_5,e_4) ),
inference(component_clause,[status(thm)],[f1616]) ).
fof(f1619,plain,
( ~ sQ55_spl
| ~ sQ158_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f1607,f1616,f1075,f413]) ).
fof(f1620,plain,
( ~ sQ55_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f1608,f309,f413]) ).
fof(f1621,plain,
( ~ sQ55_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1609,f420]) ).
fof(f1622,plain,
( ~ sQ55_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1621]) ).
fof(f1623,plain,
( ~ sQ54_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1047,f306,f410]) ).
fof(f1624,plain,
( ~ sQ54_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1041,f362,f410]) ).
fof(f1625,plain,
( sQ194_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1618,f77]) ).
fof(f1626,plain,
sQ194_spl,
inference(contradiction_clause,[status(thm)],[f1625]) ).
fof(f1627,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(e_1,e_1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1514,f135]) ).
fof(f1628,plain,
( ~ sQ43_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f376,f168]) ).
fof(f1629,plain,
( ~ sQ43_spl
| ~ cycle(e_2,e_0)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f376,f86]) ).
fof(f1630,plain,
( ~ sQ43_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f376,f137]) ).
fof(f1635,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(e_4,e_1,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f376,f122]) ).
fof(f1636,definition,
( sQ195_spl
<=> greater(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1638,plain,
( sQ195_spl
| ~ greater(e_4,e_2) ),
inference(component_clause,[status(thm)],[f1636]) ).
fof(f1639,plain,
( ~ sQ43_spl
| ~ sQ174_spl
| ~ sQ195_spl ),
inference(split_clause,[status(thm)],[f1629,f1636,f1284,f375]) ).
fof(f1640,plain,
( sQ195_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1638,f73]) ).
fof(f1641,plain,
sQ195_spl,
inference(contradiction_clause,[status(thm)],[f1640]) ).
fof(f1642,plain,
( ~ sQ24_spl
| ~ sQ30_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1191,f416,f328,f309]) ).
fof(f1643,plain,
( ~ sQ28_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f846,f338,f322]) ).
fof(f1644,plain,
( ~ sQ58_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1486,f376]) ).
fof(f1645,plain,
( ~ sQ58_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1644]) ).
fof(f1647,plain,
( ~ sQ52_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f404,f163]) ).
fof(f1648,plain,
( ~ sQ52_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f404,f148]) ).
fof(f1650,plain,
( ~ sQ52_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f404,f168]) ).
fof(f1651,plain,
( ~ sQ52_spl
| ~ cycle(e_5,e_0)
| ~ greater(e_3,e_5) ),
inference(resolution,[status(thm)],[f404,f86]) ).
fof(f1656,definition,
( sQ196_spl
<=> greater(e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1659,plain,
( ~ sQ52_spl
| ~ sQ171_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f1651,f1656,f1235,f403]) ).
fof(f1660,plain,
( ~ sQ52_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1648,f387,f403]) ).
fof(f1661,plain,
( ~ sQ42_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f372,f1627]) ).
fof(f1662,plain,
( ~ sQ42_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1661]) ).
fof(f1663,plain,
( ~ sQ41_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f1107,f296,f368]) ).
fof(f1664,plain,
( ~ sQ56_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1463,f368,f416]) ).
fof(f1665,plain,
( ~ sQ60_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1533,f381,f429]) ).
fof(f1666,plain,
( ~ sQ43_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f1630,f347,f375]) ).
fof(f1677,plain,
( ~ sQ79_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f511,f166]) ).
fof(f1678,plain,
( ~ sQ79_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f511,f135]) ).
fof(f1679,plain,
( ~ sQ79_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f511,f139]) ).
fof(f1681,plain,
( ~ sQ79_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f511,f124]) ).
fof(f1684,plain,
( ~ sQ66_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f469,f138]) ).
fof(f1685,plain,
( ~ sQ66_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f469,f126]) ).
fof(f1686,plain,
( ~ sQ66_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f469,f123]) ).
fof(f1687,plain,
( ~ sQ66_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f469,f167]) ).
fof(f1692,plain,
( ~ sQ80_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f514,f135]) ).
fof(f1694,plain,
( ~ sQ80_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f514,f164]) ).
fof(f1695,plain,
( ~ sQ80_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f514,f149]) ).
fof(f1699,plain,
( ~ sQ80_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1694,f511]) ).
fof(f1700,plain,
( ~ sQ80_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f1699]) ).
fof(f1701,plain,
( ~ sQ74_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f495,f129]) ).
fof(f1711,plain,
! [X0] :
( ~ sQ85_spl
| ~ product(X0,e_2,e_2)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f530,f122]) ).
fof(f1713,plain,
! [X0] :
( ~ sQ85_spl
| ~ product(X0,e_2,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1711,f149]) ).
fof(f1715,plain,
( ~ sQ72_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f1713]) ).
fof(f1716,plain,
( ~ sQ72_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1715]) ).
fof(f1717,plain,
( ~ sQ78_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f508,f166]) ).
fof(f1718,plain,
( ~ sQ78_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f508,f135]) ).
fof(f1722,plain,
( ~ sQ69_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f479,f170]) ).
fof(f1724,plain,
( ~ sQ69_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f479,f148]) ).
fof(f1725,plain,
( ~ sQ69_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f479,f141]) ).
fof(f1726,plain,
( ~ sQ69_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f479,f139]) ).
fof(f1728,plain,
( ~ sQ69_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f479,f124]) ).
fof(f1731,plain,
( ~ sQ69_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1722,f495]) ).
fof(f1732,plain,
( ~ sQ69_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f1731]) ).
fof(f1735,plain,
! [X0] :
( ~ sQ86_spl
| ~ product(X0,e_2,e_2)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f533,f122]) ).
fof(f1737,plain,
! [X0] :
( ~ sQ86_spl
| ~ product(X0,e_2,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1735,f167]) ).
fof(f1738,plain,
! [X0] :
( ~ sQ86_spl
| product(X0,e_2,e_5)
| product(X0,e_2,e_3)
| product(X0,e_2,e_4)
| product(X0,e_2,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f157,f1737]) ).
fof(f1739,plain,
( ~ sQ86_spl
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1738,f91]) ).
fof(f1740,plain,
( ~ sQ86_spl
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1738,f92]) ).
fof(f1741,plain,
( ~ sQ86_spl
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1738,f93]) ).
fof(f1743,plain,
( ~ sQ86_spl
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f1738,f89]) ).
fof(f1745,plain,
( ~ sQ86_spl
| sQ73_spl
| sQ74_spl
| sQ75_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f1739,f500,f497,f494,f491,f532]) ).
fof(f1746,plain,
( ~ sQ86_spl
| sQ63_spl
| sQ64_spl
| sQ65_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f1740,f468,f465,f462,f459,f532]) ).
fof(f1747,plain,
( ~ sQ86_spl
| sQ78_spl
| sQ79_spl
| sQ80_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1743,f516,f513,f510,f507,f532]) ).
fof(f1748,plain,
( ~ sQ86_spl
| sQ68_spl
| sQ69_spl
| sQ70_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f1741,f484,f481,f478,f475,f532]) ).
fof(f1759,plain,
( ~ sQ63_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f460,f138]) ).
fof(f1760,plain,
( ~ sQ63_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f460,f126]) ).
fof(f1761,plain,
( ~ sQ63_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f460,f123]) ).
fof(f1765,plain,
( ~ sQ63_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1759,f508]) ).
fof(f1766,plain,
( ~ sQ63_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1765]) ).
fof(f1771,plain,
( ~ sQ67_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f472,f138]) ).
fof(f1772,plain,
( ~ sQ67_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f472,f126]) ).
fof(f1776,plain,
( ~ sQ67_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1772,f536]) ).
fof(f1777,plain,
( ~ sQ67_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f1776]) ).
fof(f1785,plain,
( ~ sQ81_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f517,f122]) ).
fof(f1790,plain,
! [X0] :
( ~ sQ83_spl
| ~ product(X0,e_2,e_2)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f524,f122]) ).
fof(f1792,plain,
! [X0] :
( ~ sQ83_spl
| ~ product(X0,e_2,e_2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1790,f130]) ).
fof(f1793,plain,
( ~ sQ73_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f492,f875]) ).
fof(f1794,plain,
( ~ sQ73_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1793]) ).
fof(f1795,plain,
( ~ sQ32_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f335,f850]) ).
fof(f1796,plain,
( ~ sQ32_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f1795]) ).
fof(f1797,plain,
( ~ sQ49_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1450,f362,f394]) ).
fof(f1798,plain,
( ~ sQ31_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f443,f479]) ).
fof(f1799,plain,
( ~ sQ31_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f1798]) ).
fof(f1800,plain,
( ~ sQ48_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1350,f375,f391]) ).
fof(f1801,plain,
( ~ sQ56_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1465,f432,f416]) ).
fof(f1802,plain,
( ~ sQ48_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1352,f479]) ).
fof(f1803,plain,
( ~ sQ48_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f1802]) ).
fof(f1804,plain,
( ~ sQ59_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f1510,f274,f426]) ).
fof(f1805,plain,
( ~ sQ51_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1224,f368,f400]) ).
fof(f1806,plain,
( ~ sQ23_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f793,f274,f306]) ).
fof(f1807,plain,
( ~ sQ51_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1227,f328,f400]) ).
fof(f1808,plain,
( ~ sQ23_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f794,f469]) ).
fof(f1809,plain,
( ~ sQ23_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1808]) ).
fof(f1810,plain,
( ~ sQ54_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1045,f469]) ).
fof(f1811,plain,
( ~ sQ54_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1810]) ).
fof(f1812,plain,
( ~ sQ19_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f835,f514]) ).
fof(f1813,plain,
( ~ sQ19_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1812]) ).
fof(f1814,plain,
( ~ sQ55_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1603,f365,f413]) ).
fof(f1815,plain,
( ~ sQ40_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1428,f514]) ).
fof(f1816,plain,
( ~ sQ40_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1815]) ).
fof(f1817,plain,
( ~ sQ25_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f583,f472]) ).
fof(f1818,plain,
( ~ sQ25_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f1817]) ).
fof(f1819,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1335,f371,f359]) ).
fof(f1820,plain,
( ~ sQ38_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1328,f375,f359]) ).
fof(f1821,plain,
( ~ sQ41_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1103,f432,f368]) ).
fof(f1822,plain,
( ~ sQ45_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1571,f378,f381]) ).
fof(f1823,plain,
( ~ sQ79_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1679,f517]) ).
fof(f1824,plain,
( ~ sQ79_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f1823]) ).
fof(f1825,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f904,f478,f347,f328]) ).
fof(f1826,plain,
( ~ sQ38_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f1330,f510,f359]) ).
fof(f1827,plain,
( ~ sQ38_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1329,f423,f359]) ).
fof(f1828,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f955,f510,f347,f328]) ).
fof(f1829,plain,
( ~ sQ47_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1275,f524]) ).
fof(f1830,plain,
( ~ sQ47_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f1829]) ).
fof(f1831,plain,
( ~ sQ40_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1427,f429,f365]) ).
fof(f1832,plain,
( ~ sQ81_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f1785,f362,f516]) ).
fof(f1834,plain,
! [X0] :
( ~ sQ83_spl
| product(X0,e_2,e_3)
| ~ group_element(X0)
| product(X0,e_2,e_5)
| product(X0,e_2,e_1)
| product(X0,e_2,e_4) ),
inference(backward_subsumption_resolution,[status(thm)],[f157,f1792]) ).
fof(f1835,plain,
( ~ sQ83_spl
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1834,f91]) ).
fof(f1836,plain,
( ~ sQ83_spl
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1834,f92]) ).
fof(f1837,plain,
( ~ sQ83_spl
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1834,f93]) ).
fof(f1839,plain,
( ~ sQ83_spl
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_5)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f1834,f89]) ).
fof(f1840,plain,
( ~ sQ83_spl
| sQ64_spl
| sQ63_spl
| sQ65_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f1836,f468,f465,f459,f462,f523]) ).
fof(f1842,plain,
( ~ sQ83_spl
| sQ74_spl
| sQ73_spl
| sQ75_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f1835,f500,f497,f491,f494,f523]) ).
fof(f1843,plain,
( ~ sQ83_spl
| sQ69_spl
| sQ68_spl
| sQ70_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f1837,f484,f481,f475,f478,f523]) ).
fof(f1844,plain,
( ~ sQ83_spl
| sQ79_spl
| sQ78_spl
| sQ80_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1839,f516,f513,f507,f510,f523]) ).
fof(f1863,plain,
( ~ sQ71_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f485,f170]) ).
fof(f1864,plain,
( ~ sQ71_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f485,f163]) ).
fof(f1865,plain,
( ~ sQ71_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f485,f148]) ).
fof(f1867,plain,
( ~ sQ71_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f485,f167]) ).
fof(f1868,plain,
( ~ sQ71_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f485,f136]) ).
fof(f1871,plain,
! [X0] :
( ~ sQ40_spl
| ~ group_element(X0)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_5)
| product(X0,e_1,e_4) ),
inference(backward_subsumption_resolution,[status(thm)],[f158,f1439]) ).
fof(f1878,plain,
( ~ sQ70_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f482,f148]) ).
fof(f1879,plain,
( ~ sQ70_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f482,f141]) ).
fof(f1881,plain,
( ~ sQ70_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f482,f164]) ).
fof(f1883,plain,
( ~ sQ70_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f482,f142]) ).
fof(f1885,plain,
! [X0] :
( ~ sQ70_spl
| ~ product(X0,e_2,e_5)
| product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f482,f122]) ).
fof(f1886,plain,
( ~ sQ70_spl
| product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f482,f122]) ).
fof(f1887,plain,
! [X0] :
( ~ sQ70_spl
| ~ product(e_5,e_2,X0)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f482,f122]) ).
fof(f1888,plain,
! [X0] :
( ~ sQ70_spl
| ~ product(e_5,e_2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1887,f150]) ).
fof(f1889,plain,
! [X0] :
( ~ sQ70_spl
| ~ product(X0,e_2,e_5) ),
inference(forward_subsumption_resolution,[status(thm)],[f1885,f150]) ).
fof(f1890,plain,
( ~ sQ70_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f1881,f478,f481]) ).
fof(f1891,plain,
( ~ sQ70_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1883,f485]) ).
fof(f1892,plain,
( ~ sQ70_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1891]) ).
fof(f1901,plain,
! [X0] :
( ~ sQ64_spl
| ~ product(X0,e_2,e_4)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f463,f122]) ).
fof(f1907,plain,
! [X0] :
( ~ sQ64_spl
| ~ product(X0,e_2,e_4) ),
inference(forward_subsumption_resolution,[status(thm)],[f1901,f128]) ).
fof(f1909,plain,
( ~ sQ40_spl
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1871,f91]) ).
fof(f1910,plain,
( ~ sQ40_spl
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f1871,f92]) ).
fof(f1911,plain,
( ~ sQ40_spl
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f1871,f93]) ).
fof(f1912,plain,
( ~ sQ40_spl
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f1871,f90]) ).
fof(f1914,plain,
( ~ sQ40_spl
| sQ43_spl
| sQ47_spl
| sQ45_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f1912,f384,f381,f387,f375,f365]) ).
fof(f1916,plain,
( ~ sQ40_spl
| sQ48_spl
| sQ52_spl
| sQ50_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1911,f400,f397,f403,f391,f365]) ).
fof(f1917,plain,
( ~ sQ40_spl
| sQ58_spl
| sQ62_spl
| sQ60_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1909,f432,f429,f435,f423,f365]) ).
fof(f1918,plain,
( ~ sQ40_spl
| sQ53_spl
| sQ57_spl
| sQ55_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f1910,f416,f413,f419,f407,f365]) ).
fof(f1919,plain,
( ~ sQ57_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1522,f435,f419]) ).
fof(f1920,plain,
( ~ sQ62_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f919,f432,f435]) ).
fof(f1921,plain,
( ~ sQ38_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f1332,f299,f359]) ).
fof(f1922,plain,
( ~ sQ62_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f922,f286,f435]) ).
fof(f1923,plain,
( ~ sQ52_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1647,f419,f403]) ).
fof(f1924,plain,
( ~ sQ38_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f360,f1462]) ).
fof(f1925,plain,
( ~ sQ38_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1924]) ).
fof(f1926,plain,
( ~ sQ40_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1426,f381,f365]) ).
fof(f1927,plain,
( ~ sQ58_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f1487,f494,f423]) ).
fof(f1928,plain,
( ~ sQ40_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f366,f1462]) ).
fof(f1929,plain,
( ~ sQ40_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1928]) ).
fof(f1930,plain,
( ~ sQ69_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f1726,f484,f478]) ).
fof(f1933,plain,
( ~ sQ42_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f372,f1462]) ).
fof(f1934,plain,
( ~ sQ42_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1933]) ).
fof(f1935,plain,
( ~ sQ55_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1604,f381,f413]) ).
fof(f1936,plain,
( ~ sQ66_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f1684,f516,f468]) ).
fof(f1937,plain,
( ~ sQ39_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f1403,f516,f362]) ).
fof(f1939,plain,
( ~ sQ64_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f463,f1907]) ).
fof(f1940,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f1939]) ).
fof(f1941,plain,
( ~ sQ79_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f1678,f494,f510]) ).
fof(f1942,plain,
( ~ sQ68_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f476,f1888]) ).
fof(f1943,plain,
( ~ sQ68_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f1942]) ).
fof(f1944,plain,
( ~ sQ75_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f498,f1889]) ).
fof(f1945,plain,
( ~ sQ75_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f1944]) ).
fof(f1946,plain,
( ~ sQ82_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f520,f166]) ).
fof(f1949,plain,
! [X0] :
( ~ sQ82_spl
| ~ product(e_2,e_2,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f520,f122]) ).
fof(f1950,plain,
! [X0] :
( ~ sQ82_spl
| ~ product(e_2,e_2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1949,f166]) ).
fof(f1951,plain,
( ~ sQ82_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1946,f535,f519]) ).
fof(f1952,plain,
( ~ sQ77_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f504,f129]) ).
fof(f1955,plain,
( ~ sQ84_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f527,f1950]) ).
fof(f1956,plain,
( ~ sQ84_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f1955]) ).
fof(f1957,plain,
( ~ sQ77_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1952,f535,f503]) ).
fof(f1970,plain,
( ~ sQ77_spl
| ~ sQ86_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f504,f1737]) ).
fof(f1971,plain,
( ~ sQ77_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f1970]) ).
fof(f1973,plain,
( ~ sQ65_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f466,f1889]) ).
fof(f1974,plain,
( ~ sQ65_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f1973]) ).
fof(f1975,plain,
( ~ sQ71_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f1868,f475,f484]) ).
fof(f1976,plain,
( ~ sQ71_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f1864,f468,f484]) ).
fof(f1988,plain,
( ~ sQ76_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f501,f129]) ).
fof(f2002,plain,
( ~ sQ105_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f652,f172]) ).
fof(f2003,plain,
( ~ sQ105_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f652,f165]) ).
fof(f2004,plain,
( ~ sQ105_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f652,f150]) ).
fof(f2005,plain,
( ~ sQ105_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f652,f143]) ).
fof(f2006,plain,
( ~ sQ105_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f652,f130]) ).
fof(f2009,plain,
( ~ sQ105_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f2004,f523,f651]) ).
fof(f2010,plain,
( ~ sQ88_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f598,f129]) ).
fof(f2011,plain,
( ~ sQ88_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f598,f172]) ).
fof(f2012,plain,
( ~ sQ88_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f598,f165]) ).
fof(f2013,plain,
( ~ sQ88_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f598,f150]) ).
fof(f2014,plain,
( ~ sQ88_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f598,f143]) ).
fof(f2019,plain,
( ~ sQ88_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2013,f501]) ).
fof(f2020,plain,
( ~ sQ88_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f2019]) ).
fof(f2031,plain,
( ~ sQ90_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f604,f129]) ).
fof(f2032,plain,
( ~ sQ90_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f604,f172]) ).
fof(f2037,plain,
( ~ sQ90_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f604,f122]) ).
fof(f2041,plain,
( ~ sQ90_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2031,f652]) ).
fof(f2042,plain,
( ~ sQ90_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f2041]) ).
fof(f2045,plain,
( ~ sQ90_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2032,f286,f603]) ).
fof(f2046,plain,
( ~ sQ92_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f610,f129]) ).
fof(f2047,plain,
( ~ sQ92_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f610,f172]) ).
fof(f2049,plain,
( ~ sQ92_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f610,f150]) ).
fof(f2050,plain,
( ~ sQ92_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f610,f143]) ).
fof(f2053,plain,
( ~ sQ92_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f2050,f432,f609]) ).
fof(f2054,plain,
( ~ sQ94_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f617,f170]) ).
fof(f2056,plain,
( ~ sQ94_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f617,f148]) ).
fof(f2057,plain,
( ~ sQ94_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f617,f141]) ).
fof(f2058,plain,
( ~ sQ94_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f617,f172]) ).
fof(f2059,plain,
( ~ sQ94_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f617,f165]) ).
fof(f2060,plain,
( ~ sQ94_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f617,f150]) ).
fof(f2063,plain,
( ~ sQ94_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f617,f127]) ).
fof(f2065,plain,
! [X0] :
( ~ sQ94_spl
| ~ product(X0,e_5,e_5)
| product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f617,f122]) ).
fof(f2067,plain,
( ~ sQ94_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2058,f331,f616]) ).
fof(f2068,plain,
! [X0] :
( ~ sQ94_spl
| ~ product(X0,e_5,e_5) ),
inference(forward_subsumption_resolution,[status(thm)],[f2065,f164]) ).
fof(f2081,plain,
( ~ sQ98_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f630,f138]) ).
fof(f2082,plain,
( ~ sQ98_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f630,f126]) ).
fof(f2083,plain,
( ~ sQ98_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f630,f123]) ).
fof(f2084,plain,
( ~ sQ98_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f630,f172]) ).
fof(f2086,plain,
( ~ sQ98_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f630,f150]) ).
fof(f2087,plain,
( ~ sQ98_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f630,f143]) ).
fof(f2088,plain,
( ~ sQ98_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f630,f167]) ).
fof(f2089,plain,
( ~ sQ98_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f630,f136]) ).
fof(f2092,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2083,f598]) ).
fof(f2093,plain,
( ~ sQ98_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f2092]) ).
fof(f2095,plain,
( ~ sQ95_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f620,f163]) ).
fof(f2096,plain,
( ~ sQ95_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f620,f148]) ).
fof(f2097,plain,
( ~ sQ95_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f620,f141]) ).
fof(f2098,plain,
( ~ sQ95_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f620,f172]) ).
fof(f2099,plain,
( ~ sQ95_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f620,f165]) ).
fof(f2100,plain,
( ~ sQ95_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f620,f150]) ).
fof(f2101,plain,
( ~ sQ95_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f620,f143]) ).
fof(f2103,plain,
! [X0] :
( ~ sQ95_spl
| ~ product(X0,e_5,e_5)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f620,f122]) ).
fof(f2105,plain,
( ~ sQ95_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2101,f403,f619]) ).
fof(f2106,plain,
! [X0] :
( ~ sQ95_spl
| ~ product(X0,e_5,e_5) ),
inference(forward_subsumption_resolution,[status(thm)],[f2103,f171]) ).
fof(f2107,plain,
( ~ sQ110_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f668,f166]) ).
fof(f2110,plain,
( ~ sQ110_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f668,f165]) ).
fof(f2111,plain,
( ~ sQ110_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f668,f150]) ).
fof(f2112,plain,
( ~ sQ110_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f668,f143]) ).
fof(f2113,plain,
( ~ sQ110_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f668,f130]) ).
fof(f2116,plain,
( ~ sQ106_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f655,f172]) ).
fof(f2117,plain,
( ~ sQ106_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f655,f165]) ).
fof(f2118,plain,
( ~ sQ106_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f655,f150]) ).
fof(f2119,plain,
( ~ sQ106_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f655,f143]) ).
fof(f2121,plain,
( ~ sQ106_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f655,f164]) ).
fof(f2127,plain,
( ~ sQ106_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2116,f341,f654]) ).
fof(f2128,plain,
( ~ sQ100_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f636,f138]) ).
fof(f2129,plain,
( ~ sQ100_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f636,f126]) ).
fof(f2130,plain,
( ~ sQ100_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f636,f123]) ).
fof(f2131,plain,
( ~ sQ100_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f636,f172]) ).
fof(f2132,plain,
( ~ sQ100_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f636,f165]) ).
fof(f2133,plain,
( ~ sQ100_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f636,f150]) ).
fof(f2134,plain,
( ~ sQ100_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f636,f143]) ).
fof(f2138,plain,
( ~ sQ100_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2128,f668]) ).
fof(f2139,plain,
( ~ sQ100_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f2138]) ).
fof(f2140,plain,
( ~ sQ100_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f2133,f459,f635]) ).
fof(f2141,plain,
( ~ sQ89_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f601,f129]) ).
fof(f2142,plain,
( ~ sQ89_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f601,f172]) ).
fof(f2143,plain,
( ~ sQ89_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f601,f165]) ).
fof(f2144,plain,
( ~ sQ89_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f601,f150]) ).
fof(f2145,plain,
( ~ sQ89_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f601,f143]) ).
fof(f2147,plain,
( ~ sQ89_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f601,f127]) ).
fof(f2152,plain,
( ~ sQ101_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f639,f126]) ).
fof(f2153,plain,
( ~ sQ101_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f639,f123]) ).
fof(f2154,plain,
( ~ sQ101_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f639,f172]) ).
fof(f2156,plain,
( ~ sQ101_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f639,f150]) ).
fof(f2157,plain,
( ~ sQ101_spl
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f639,f143]) ).
fof(f2158,plain,
( ~ sQ101_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f639,f171]) ).
fof(f2160,plain,
( ~ sQ101_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f639,f149]) ).
fof(f2161,plain,
( ~ sQ101_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f639,f142]) ).
fof(f2164,plain,
( ~ sQ101_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2161,f630]) ).
fof(f2165,plain,
( ~ sQ101_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f2164]) ).
fof(f2166,plain,
( ~ sQ101_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f2157,f413,f638]) ).
fof(f2167,plain,
( ~ sQ101_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2152,f655]) ).
fof(f2168,plain,
( ~ sQ101_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f2167]) ).
fof(f2169,plain,
( ~ sQ93_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f614,f170]) ).
fof(f2170,plain,
( ~ sQ93_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f614,f163]) ).
fof(f2171,plain,
( ~ sQ93_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f614,f148]) ).
fof(f2175,plain,
( ~ sQ93_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f614,f150]) ).
fof(f2179,plain,
! [X0] :
( ~ sQ93_spl
| ~ product(X0,e_5,e_5)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f614,f122]) ).
fof(f2181,plain,
! [X0] :
( ~ sQ93_spl
| ~ product(X0,e_5,e_5) ),
inference(forward_subsumption_resolution,[status(thm)],[f2179,f142]) ).
fof(f2182,plain,
( ~ sQ93_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f2175,f484,f613]) ).
fof(f2183,plain,
( ~ sQ109_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f665,f166]) ).
fof(f2184,plain,
( ~ sQ109_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f665,f135]) ).
fof(f2185,plain,
( ~ sQ109_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f665,f172]) ).
fof(f2186,plain,
( ~ sQ109_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f665,f165]) ).
fof(f2187,plain,
( ~ sQ109_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f665,f150]) ).
fof(f2188,plain,
( ~ sQ109_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f665,f143]) ).
fof(f2190,plain,
( ~ sQ109_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f665,f127]) ).
fof(f2191,plain,
( ~ sQ109_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f665,f124]) ).
fof(f2194,plain,
( ~ sQ109_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f2187,f510,f664]) ).
fof(f2195,plain,
( ~ sQ109_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f2191,f667,f664]) ).
fof(f2196,plain,
( ~ sQ109_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2184,f601]) ).
fof(f2197,plain,
( ~ sQ109_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f2196]) ).
fof(f2198,plain,
( ~ sQ111_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f671,f166]) ).
fof(f2199,plain,
( ~ sQ111_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f671,f135]) ).
fof(f2200,plain,
( ~ sQ111_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f671,f172]) ).
fof(f2201,plain,
( ~ sQ111_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f671,f165]) ).
fof(f2202,plain,
( ~ sQ111_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f671,f150]) ).
fof(f2204,plain,
( ~ sQ111_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f671,f171]) ).
fof(f2206,plain,
( ~ sQ111_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f671,f149]) ).
fof(f2207,plain,
( ~ sQ111_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f671,f142]) ).
fof(f2210,plain,
( ~ sQ111_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2200,f293,f670]) ).
fof(f2212,plain,
! [X0] :
( ~ sQ93_spl
| ~ group_element(X0)
| product(X0,e_5,e_3)
| product(X0,e_5,e_2)
| product(X0,e_5,e_1)
| product(X0,e_5,e_4) ),
inference(backward_subsumption_resolution,[status(thm)],[f156,f2181]) ).
fof(f2213,plain,
( ~ sQ93_spl
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f2212,f91]) ).
fof(f2214,plain,
( ~ sQ93_spl
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f2212,f92]) ).
fof(f2216,plain,
( ~ sQ93_spl
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f2212,f90]) ).
fof(f2217,plain,
( ~ sQ93_spl
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f2212,f89]) ).
fof(f2218,plain,
( ~ sQ93_spl
| sQ98_spl
| sQ99_spl
| sQ100_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f2214,f641,f635,f632,f629,f613]) ).
fof(f2219,plain,
( ~ sQ93_spl
| sQ88_spl
| sQ89_spl
| sQ90_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f2213,f609,f603,f600,f597,f613]) ).
fof(f2220,plain,
( ~ sQ93_spl
| sQ108_spl
| sQ109_spl
| sQ110_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f2217,f673,f667,f664,f661,f613]) ).
fof(f2221,plain,
( ~ sQ93_spl
| sQ103_spl
| sQ104_spl
| sQ105_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f2216,f657,f651,f648,f645,f613]) ).
fof(f2223,plain,
( ~ sQ90_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f2037,f286,f603]) ).
fof(f2224,plain,
( ~ sQ100_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f2130,f603,f635]) ).
fof(f2226,plain,
( ~ sQ98_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f2089,f635,f629]) ).
fof(f2227,plain,
( ~ sQ110_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f2107,f651,f667]) ).
fof(f2228,plain,
( ~ sQ110_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f2111,f507,f667]) ).
fof(f2229,plain,
( ~ sQ103_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f646,f172]) ).
fof(f2230,plain,
( ~ sQ103_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f646,f165]) ).
fof(f2231,plain,
( ~ sQ103_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f646,f150]) ).
fof(f2232,plain,
( ~ sQ103_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f646,f143]) ).
fof(f2233,plain,
( ~ sQ103_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f646,f167]) ).
fof(f2235,plain,
! [X0] :
( ~ sQ103_spl
| product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f646,f122]) ).
fof(f2237,plain,
( ~ sQ103_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2229,f338,f645]) ).
fof(f2239,plain,
( ~ sQ112_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f674,f135]) ).
fof(f2240,plain,
( ~ sQ112_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f674,f172]) ).
fof(f2241,plain,
( ~ sQ112_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f674,f165]) ).
fof(f2242,plain,
( ~ sQ112_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f674,f150]) ).
fof(f2243,plain,
( ~ sQ112_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f674,f143]) ).
fof(f2245,plain,
! [X0] :
( ~ sQ112_spl
| product(e_1,e_2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f674,f122]) ).
fof(f2246,plain,
( ~ sQ96_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f623,f170]) ).
fof(f2247,plain,
( ~ sQ96_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f623,f163]) ).
fof(f2248,plain,
( ~ sQ96_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f623,f148]) ).
fof(f2249,plain,
( ~ sQ96_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f623,f141]) ).
fof(f2251,plain,
( ~ sQ96_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f623,f165]) ).
fof(f2255,plain,
( ~ sQ96_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f623,f164]) ).
fof(f2256,plain,
( ~ sQ96_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f623,f149]) ).
fof(f2262,plain,
( ~ sQ104_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f649,f172]) ).
fof(f2263,plain,
( ~ sQ104_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f649,f165]) ).
fof(f2264,plain,
( ~ sQ104_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f649,f150]) ).
fof(f2265,plain,
( ~ sQ104_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f649,f143]) ).
fof(f2266,plain,
( ~ sQ104_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f649,f139]) ).
fof(f2268,plain,
( ~ sQ104_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f649,f124]) ).
fof(f2271,plain,
( ~ sQ104_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2265,f375,f648]) ).
fof(f2272,plain,
( ~ sQ104_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2266,f646]) ).
fof(f2273,plain,
( ~ sQ104_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f2272]) ).
fof(f2284,plain,
( ~ sQ108_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f662,f166]) ).
fof(f2285,plain,
( ~ sQ108_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f662,f135]) ).
fof(f2289,plain,
( ~ sQ108_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f662,f143]) ).
fof(f2294,plain,
( ~ sQ108_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f662,f122]) ).
fof(f2296,plain,
( ~ sQ108_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2289,f362,f661]) ).
fof(f2297,plain,
( ~ sQ108_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2285,f597,f661]) ).
fof(f2299,plain,
( ~ sQ108_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2284,f646]) ).
fof(f2300,plain,
( ~ sQ108_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f2299]) ).
fof(f2314,plain,
! [X0] :
( ~ sQ99_spl
| ~ product(e_4,e_5,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f633,f122]) ).
fof(f2315,plain,
! [X0] :
( ~ sQ99_spl
| ~ product(e_4,e_5,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2314,f165]) ).
fof(f2318,plain,
( ~ sQ99_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f633,f2315]) ).
fof(f2319,plain,
~ sQ99_spl,
inference(contradiction_clause,[status(thm)],[f2318]) ).
fof(f2320,plain,
( ~ sQ97_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f626,f170]) ).
fof(f2321,plain,
( ~ sQ97_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f626,f163]) ).
fof(f2323,plain,
( ~ sQ97_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f626,f141]) ).
fof(f2324,plain,
( ~ sQ97_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f626,f172]) ).
fof(f2325,plain,
( ~ sQ97_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f626,f165]) ).
fof(f2328,plain,
! [X0] :
( ~ sQ97_spl
| ~ product(X0,e_5,e_5)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f626,f122]) ).
fof(f2330,plain,
( ~ sQ97_spl
| ~ sQ31_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2325,f579]) ).
fof(f2331,plain,
( ~ sQ97_spl
| ~ sQ31_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f2330]) ).
fof(f2332,plain,
( ~ sQ89_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f2144,f494,f600]) ).
fof(f2334,plain,
( ~ sQ96_spl
| ~ sQ93_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f623,f2181]) ).
fof(f2335,plain,
( ~ sQ96_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f2334]) ).
fof(f2338,plain,
( ~ sQ107_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f658,f150]) ).
fof(f2340,plain,
( ~ sQ107_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f658,f122]) ).
fof(f2344,plain,
( ~ sQ107_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f2340,f535,f657]) ).
fof(f2348,plain,
( ~ sQ103_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2233,f658]) ).
fof(f2349,plain,
( ~ sQ103_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f2348]) ).
fof(f2350,plain,
( ~ sQ79_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f1681,f507,f510]) ).
fof(f2351,plain,
( ~ sQ100_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f2129,f651,f635]) ).
fof(f2373,plain,
( ~ sQ102_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f642,f138]) ).
fof(f2375,plain,
( ~ sQ102_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f642,f123]) ).
fof(f2376,plain,
( ~ sQ102_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f642,f172]) ).
fof(f2377,plain,
( ~ sQ102_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f642,f165]) ).
fof(f2378,plain,
( ~ sQ102_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f642,f150]) ).
fof(f2379,plain,
( ~ sQ102_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f642,f143]) ).
fof(f2382,plain,
( ~ sQ102_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2376,f312,f641]) ).
fof(f2383,plain,
( ~ sQ102_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2373,f674]) ).
fof(f2384,plain,
( ~ sQ102_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f2383]) ).
fof(f2385,plain,
( ~ sQ91_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f607,f2181]) ).
fof(f2386,plain,
( ~ sQ91_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f2385]) ).
fof(f2387,plain,
( ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f719,f677]) ).
fof(f2388,plain,
( ~ sQ116_spl
| ~ sQ31_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f2387]) ).
fof(f2389,plain,
( ~ sQ123_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f742,f166]) ).
fof(f2391,plain,
( ~ sQ123_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f742,f140]) ).
fof(f2392,plain,
( ~ sQ123_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f742,f128]) ).
fof(f2394,plain,
( ~ sQ123_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f742,f139]) ).
fof(f2398,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(e_4,e_4,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f742,f122]) ).
fof(f2399,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(e_4,e_4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2398,f138]) ).
fof(f2400,plain,
( ~ sQ121_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f735,f2399]) ).
fof(f2401,plain,
( ~ sQ121_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f2400]) ).
fof(f2402,plain,
( ~ sQ124_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f745,f166]) ).
fof(f2403,plain,
( ~ sQ124_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f745,f135]) ).
fof(f2404,plain,
( ~ sQ124_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f745,f140]) ).
fof(f2405,plain,
( ~ sQ124_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f745,f128]) ).
fof(f2406,plain,
( ~ sQ124_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f745,f125]) ).
fof(f2407,plain,
( ~ sQ124_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f745,f130]) ).
fof(f2410,plain,
( ~ sQ124_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f2405,f507,f744]) ).
fof(f2411,plain,
( ~ sQ79_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1677,f526,f510]) ).
fof(f2412,plain,
( ~ sQ78_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f1717,f523,f507]) ).
fof(f2413,plain,
( ~ sQ137_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f786,f140]) ).
fof(f2414,plain,
( ~ sQ137_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f786,f128]) ).
fof(f2415,plain,
( ~ sQ137_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f786,f125]) ).
fof(f2422,plain,
( ~ sQ137_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2415,f341,f785]) ).
fof(f2433,plain,
( ~ sQ128_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f758,f170]) ).
fof(f2435,plain,
( ~ sQ128_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f758,f148]) ).
fof(f2437,plain,
( ~ sQ128_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f758,f140]) ).
fof(f2438,plain,
( ~ sQ128_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f758,f128]) ).
fof(f2439,plain,
( ~ sQ128_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f758,f125]) ).
fof(f2442,plain,
( ~ sQ128_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f758,f124]) ).
fof(f2444,plain,
! [X0] :
( ~ sQ128_spl
| ~ product(e_4,e_4,X0)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f758,f122]) ).
fof(f2445,plain,
! [X0] :
( ~ sQ128_spl
| ~ product(e_4,e_4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2444,f163]) ).
fof(f2448,plain,
( ~ sQ115_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f716,f129]) ).
fof(f2449,plain,
( ~ sQ115_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f716,f140]) ).
fof(f2450,plain,
( ~ sQ115_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f716,f128]) ).
fof(f2452,plain,
( ~ sQ115_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f716,f167]) ).
fof(f2459,plain,
( ~ sQ114_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f713,f125]) ).
fof(f2460,plain,
( ~ sQ114_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f713,f130]) ).
fof(f2463,plain,
( ~ sQ114_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f713,f122]) ).
fof(f2466,plain,
( ~ sQ114_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f2459,f286,f712]) ).
fof(f2468,plain,
( ~ sQ15_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f281,f582]) ).
fof(f2469,plain,
( ~ sQ15_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f2468]) ).
fof(f2470,plain,
( ~ sQ14_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f278,f834]) ).
fof(f2471,plain,
( ~ sQ14_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f2470]) ).
fof(f2472,plain,
( ~ sQ22_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f568,f350,f302]) ).
fof(f2473,plain,
( ~ sQ22_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f570,f507,f302]) ).
fof(f2474,plain,
( ~ sQ124_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2403,f713]) ).
fof(f2475,plain,
( ~ sQ124_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f2474]) ).
fof(f2476,plain,
( ~ sQ132_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f770,f170]) ).
fof(f2477,plain,
( ~ sQ132_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f770,f163]) ).
fof(f2478,plain,
( ~ sQ132_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f770,f148]) ).
fof(f2485,plain,
( ~ sQ132_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f770,f149]) ).
fof(f2486,plain,
( ~ sQ132_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f770,f142]) ).
fof(f2487,plain,
( ~ sQ132_spl
| product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f770,f122]) ).
fof(f2491,plain,
( ~ sQ132_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f2487,f622,f769]) ).
fof(f2493,plain,
( ~ sQ132_spl
| ~ sQ31_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2485,f579]) ).
fof(f2494,plain,
( ~ sQ132_spl
| ~ sQ31_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f2493]) ).
fof(f2497,plain,
( ~ sQ125_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f748,f135]) ).
fof(f2498,plain,
( ~ sQ125_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f748,f140]) ).
fof(f2503,plain,
( ~ sQ125_spl
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f748,f122]) ).
fof(f2507,plain,
( ~ sQ125_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2498,f362,f747]) ).
fof(f2509,plain,
( ~ sQ125_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2497,f716]) ).
fof(f2510,plain,
( ~ sQ125_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f2509]) ).
fof(f2511,plain,
( ~ sQ111_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f2199,f606,f670]) ).
fof(f2512,plain,
( ~ sQ115_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f2452,f718,f715]) ).
fof(f2513,plain,
( ~ sQ30_spl
| ~ sQ36_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f958,f475,f347,f328]) ).
fof(f2514,plain,
( ~ sQ108_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f2294,f362,f661]) ).
fof(f2515,plain,
! [X0] :
( ~ sQ97_spl
| ~ product(X0,e_5,e_5) ),
inference(forward_subsumption_resolution,[status(thm)],[f2328,f149]) ).
fof(f2516,plain,
( ~ sQ98_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f2088,f641,f629]) ).
fof(f2517,plain,
( ~ sQ98_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2087,f410,f629]) ).
fof(f2518,plain,
( ~ sQ128_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f2438,f478,f757]) ).
fof(f2519,plain,
( ~ sQ98_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f2081,f661,f629]) ).
fof(f2520,plain,
( ~ sQ96_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f2248,f654,f622]) ).
fof(f2521,plain,
( ~ sQ69_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f1728,f475,f478]) ).
fof(f2522,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1150,f381,f347,f309]) ).
fof(f2523,plain,
( ~ sQ96_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f2255,f616,f622]) ).
fof(f2525,plain,
( ~ sQ63_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f1760,f523,f459]) ).
fof(f2526,plain,
( ~ sQ97_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2324,f328,f625]) ).
fof(f2527,plain,
( ~ sQ96_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f2246,f606,f622]) ).
fof(f2528,plain,
( ~ sQ94_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f2060,f478,f616]) ).
fof(f2529,plain,
( ~ sQ94_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f2056,f648,f616]) ).
fof(f2530,plain,
( ~ sQ80_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f1692,f497,f513]) ).
fof(f2531,plain,
( ~ sQ111_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f2198,f654,f670]) ).
fof(f2532,plain,
( ~ sQ137_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2413,f381,f785]) ).
fof(f2533,plain,
( ~ sQ94_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f2054,f600,f616]) ).
fof(f2534,plain,
( ~ sQ104_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2262,f347,f648]) ).
fof(f2535,plain,
( ~ sQ97_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f2321,f641,f625]) ).
fof(f2536,plain,
( ~ sQ94_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f2063,f625,f616]) ).
fof(f2537,plain,
( ~ sQ96_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f2249,f670,f622]) ).
fof(f2538,plain,
( ~ sQ111_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f2202,f513,f670]) ).
fof(f2539,plain,
( ~ sQ80_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f1695,f519,f513]) ).
fof(f2540,plain,
( ~ sQ24_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f907,f277,f309]) ).
fof(f2541,plain,
( ~ sQ96_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f2256,f625,f622]) ).
fof(f2542,plain,
( ~ sQ94_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f2059,f757,f616]) ).
fof(f2544,plain,
( ~ sQ106_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f2121,f648,f654]) ).
fof(f2545,plain,
( ~ sQ106_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f2119,f381,f654]) ).
fof(f2546,plain,
( ~ sQ111_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f2207,f661,f670]) ).
fof(f2547,plain,
( ~ sQ106_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f2117,f785,f654]) ).
fof(f2548,plain,
( ~ sQ110_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f2113,f673,f667]) ).
fof(f2549,plain,
( ~ sQ93_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f2170,f629,f613]) ).
fof(f2550,plain,
( ~ sQ13_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f860,f500,f274]) ).
fof(f2551,plain,
( ~ sQ93_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f2171,f645,f613]) ).
fof(f2552,plain,
( ~ sQ19_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f833,f341,f293]) ).
fof(f2553,plain,
( ~ sQ103_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f2231,f532,f645]) ).
fof(f2554,plain,
( ~ sQ31_spl
| ~ sQ34_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f558,f648,f341,f331]) ).
fof(f2555,plain,
( ~ sQ109_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f2190,f673,f664]) ).
fof(f2556,plain,
( ~ sQ94_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f2057,f664,f616]) ).
fof(f2557,plain,
( ~ sQ109_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f2185,f299,f664]) ).
fof(f2558,plain,
( ~ sQ88_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f2010,f645,f597]) ).
fof(f2559,plain,
( ~ sQ100_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2131,f318,f635]) ).
fof(f2560,plain,
( ~ sQ98_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f2082,f645,f629]) ).
fof(f2561,plain,
( ~ sQ59_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f1508,f500,f426]) ).
fof(f2562,plain,
( ~ sQ105_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f2006,f657,f651]) ).
fof(f2563,plain,
( ~ sQ107_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f2338,f535,f657]) ).
fof(f2564,plain,
( ~ sQ92_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f2046,f657,f609]) ).
fof(f2565,plain,
( ~ sQ71_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f1865,f532,f484]) ).
fof(f2567,plain,
( ~ sQ126_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f751,f135]) ).
fof(f2568,plain,
( ~ sQ126_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f751,f140]) ).
fof(f2569,plain,
( ~ sQ126_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f751,f128]) ).
fof(f2570,plain,
( ~ sQ126_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f751,f125]) ).
fof(f2571,plain,
! [X0] :
( ~ sQ126_spl
| product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f751,f122]) ).
fof(f2572,plain,
! [X0] :
( ~ sQ126_spl
| product(e_1,e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f751,f122]) ).
fof(f2573,plain,
( ~ sQ135_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f780,f140]) ).
fof(f2574,plain,
( ~ sQ135_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f780,f128]) ).
fof(f2575,plain,
( ~ sQ135_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f780,f125]) ).
fof(f2590,plain,
( ~ sQ130_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f764,f170]) ).
fof(f2592,plain,
( ~ sQ130_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f764,f148]) ).
fof(f2596,plain,
( ~ sQ130_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f764,f125]) ).
fof(f2600,plain,
! [X0] :
( ~ sQ130_spl
| product(e_5,e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f764,f122]) ).
fof(f2601,plain,
( ~ sQ130_spl
| ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2592,f780]) ).
fof(f2602,plain,
( ~ sQ130_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f2601]) ).
fof(f2604,plain,
( ~ sQ120_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f732,f126]) ).
fof(f2605,plain,
( ~ sQ120_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f732,f123]) ).
fof(f2607,plain,
( ~ sQ120_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f732,f128]) ).
fof(f2611,plain,
! [X0] :
( ~ sQ120_spl
| ~ product(X0,e_4,e_4)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f732,f122]) ).
fof(f2613,plain,
! [X0] :
( ~ sQ120_spl
| ~ product(X0,e_4,e_4) ),
inference(forward_subsumption_resolution,[status(thm)],[f2611,f139]) ).
fof(f2614,plain,
! [X0] :
( ~ sQ94_spl
| ~ group_element(X0)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_4)
| product(X0,e_5,e_3) ),
inference(forward_subsumption_resolution,[status(thm)],[f156,f2068]) ).
fof(f2615,plain,
( ~ sQ94_spl
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f2614,f91]) ).
fof(f2616,plain,
( ~ sQ94_spl
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f2614,f92]) ).
fof(f2618,plain,
( ~ sQ94_spl
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f2614,f90]) ).
fof(f2619,plain,
( ~ sQ94_spl
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f2614,f89]) ).
fof(f2620,plain,
( ~ sQ94_spl
| sQ98_spl
| sQ102_spl
| sQ99_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f2616,f635,f632,f641,f629,f616]) ).
fof(f2621,plain,
( ~ sQ94_spl
| sQ103_spl
| sQ107_spl
| sQ104_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f2618,f651,f648,f657,f645,f616]) ).
fof(f2622,plain,
( ~ sQ94_spl
| sQ108_spl
| sQ112_spl
| sQ109_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f2619,f667,f664,f673,f661,f616]) ).
fof(f2624,plain,
( ~ sQ94_spl
| sQ88_spl
| sQ92_spl
| sQ89_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f2615,f603,f600,f609,f597,f616]) ).
fof(f2625,plain,
( ~ sQ112_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f2239,f609,f673]) ).
fof(f2626,plain,
( ~ sQ112_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2241,f751]) ).
fof(f2627,plain,
( ~ sQ112_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f2626]) ).
fof(f2628,plain,
( ~ sQ15_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f281,f547]) ).
fof(f2629,plain,
( ~ sQ15_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2628]) ).
fof(f2630,plain,
( ~ sQ30_spl
| ~ sQ19_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1166,f751]) ).
fof(f2631,plain,
( ~ sQ30_spl
| ~ sQ19_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f2630]) ).
fof(f2632,plain,
( ~ sQ17_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f287,f547]) ).
fof(f2633,plain,
( ~ sQ17_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2632]) ).
fof(f2634,plain,
( ~ sQ14_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f278,f547]) ).
fof(f2635,plain,
( ~ sQ14_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2634]) ).
fof(f2636,plain,
( ~ sQ13_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f275,f547]) ).
fof(f2637,plain,
( ~ sQ13_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2636]) ).
fof(f2638,plain,
( ~ sQ89_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f2147,f609,f600]) ).
fof(f2639,plain,
( ~ sQ70_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f1886,f622,f481]) ).
fof(f2640,plain,
( ~ sQ63_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f1761,f491,f459]) ).
fof(f2641,plain,
( ~ sQ97_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f2320,f609,f625]) ).
fof(f2642,plain,
( ~ sQ21_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f827,f510,f299]) ).
fof(f2643,plain,
( ~ sQ21_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f826,f283,f299]) ).
fof(f2645,plain,
( ~ sQ89_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2142,f283,f600]) ).
fof(f2646,plain,
( ~ sQ68_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f476,f1650]) ).
fof(f2647,plain,
( ~ sQ68_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f2646]) ).
fof(f2648,plain,
! [X0] :
( ~ sQ120_spl
| product(X0,e_4,e_5)
| product(X0,e_4,e_2)
| product(X0,e_4,e_1)
| product(X0,e_4,e_3)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f155,f2613]) ).
fof(f2649,plain,
! [X0] :
( ~ sQ97_spl
| product(X0,e_5,e_2)
| product(X0,e_5,e_4)
| ~ group_element(X0)
| product(X0,e_5,e_3)
| product(X0,e_5,e_1) ),
inference(forward_subsumption_resolution,[status(thm)],[f156,f2515]) ).
fof(f2650,plain,
( ~ sQ97_spl
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f2649,f91]) ).
fof(f2651,plain,
( ~ sQ97_spl
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f2649,f92]) ).
fof(f2653,plain,
( ~ sQ97_spl
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f2649,f90]) ).
fof(f2654,plain,
( ~ sQ97_spl
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f2649,f89]) ).
fof(f2655,plain,
( ~ sQ97_spl
| sQ99_spl
| sQ102_spl
| sQ98_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f2651,f635,f629,f641,f632,f625]) ).
fof(f2656,plain,
( ~ sQ97_spl
| sQ104_spl
| sQ107_spl
| sQ103_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f2653,f651,f645,f657,f648,f625]) ).
fof(f2657,plain,
( ~ sQ97_spl
| sQ89_spl
| sQ92_spl
| sQ88_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f2650,f603,f597,f609,f600,f625]) ).
fof(f2659,plain,
( ~ sQ97_spl
| sQ109_spl
| sQ112_spl
| sQ108_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f2654,f667,f661,f673,f664,f625]) ).
fof(f2660,plain,
( ~ sQ105_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2002,f350,f651]) ).
fof(f2661,plain,
( ~ sQ78_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f1718,f491,f507]) ).
fof(f2662,plain,
( ~ sQ34_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f559,f529,f341]) ).
fof(f2663,plain,
( ~ sQ70_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f1878,f529,f481]) ).
fof(f2664,plain,
( ~ sQ71_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f1867,f487,f484]) ).
fof(f2665,plain,
( ~ sQ70_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f1879,f513,f481]) ).
fof(f2667,plain,
( ~ sQ120_spl
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f2648,f91]) ).
fof(f2669,plain,
( ~ sQ120_spl
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_5)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f2648,f93]) ).
fof(f2670,plain,
( ~ sQ120_spl
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f2648,f90]) ).
fof(f2671,plain,
( ~ sQ120_spl
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f2648,f89]) ).
fof(f2672,plain,
( ~ sQ120_spl
| sQ135_spl
| sQ137_spl
| sQ134_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f2670,f782,f776,f785,f779,f731]) ).
fof(f2674,plain,
( ~ sQ120_spl
| sQ115_spl
| sQ117_spl
| sQ114_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f2667,f718,f712,f721,f715,f731]) ).
fof(f2675,plain,
( ~ sQ120_spl
| sQ125_spl
| sQ127_spl
| sQ124_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f2671,f750,f744,f753,f747,f731]) ).
fof(f2676,plain,
( ~ sQ120_spl
| sQ130_spl
| sQ132_spl
| sQ129_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f2669,f766,f760,f769,f763,f731]) ).
fof(f2678,plain,
( ~ sQ115_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2449,f426,f715]) ).
fof(f2679,plain,
( ~ sQ124_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f2406,f302,f744]) ).
fof(f2681,plain,
( ~ sQ124_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f2407,f750,f744]) ).
fof(f2682,plain,
( ~ sQ132_spl
| ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2486,f764]) ).
fof(f2683,plain,
( ~ sQ132_spl
| ~ sQ130_spl ),
inference(contradiction_clause,[status(thm)],[f2682]) ).
fof(f2684,plain,
( ~ sQ114_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f2463,f286,f712]) ).
fof(f2686,plain,
( ~ sQ114_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f2460,f718,f712]) ).
fof(f2709,plain,
( ~ sQ129_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f761,f163]) ).
fof(f2710,plain,
( ~ sQ129_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f761,f148]) ).
fof(f2711,plain,
( ~ sQ129_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f761,f141]) ).
fof(f2712,plain,
( ~ sQ129_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f761,f140]) ).
fof(f2713,plain,
( ~ sQ129_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f761,f128]) ).
fof(f2714,plain,
( ~ sQ129_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f761,f125]) ).
fof(f2715,plain,
( ~ sQ129_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f761,f130]) ).
fof(f2718,plain,
( ~ sQ129_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2714,f334,f760]) ).
fof(f2719,plain,
( ~ sQ129_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2712,f403,f760]) ).
fof(f2720,plain,
( ~ sQ117_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f722,f129]) ).
fof(f2721,plain,
( ~ sQ117_spl
| ~ product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f722,f140]) ).
fof(f2722,plain,
( ~ sQ117_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f722,f128]) ).
fof(f2723,plain,
( ~ sQ117_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f722,f125]) ).
fof(f2730,plain,
( ~ sQ117_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f2723,f277,f721]) ).
fof(f2742,plain,
( ~ sQ113_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f710,f140]) ).
fof(f2743,plain,
( ~ sQ113_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f710,f128]) ).
fof(f2744,plain,
( ~ sQ113_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f710,f125]) ).
fof(f2745,plain,
( ~ sQ113_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f710,f139]) ).
fof(f2749,plain,
! [X0] :
( ~ sQ113_spl
| ~ product(e_4,e_4,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f710,f122]) ).
fof(f2750,plain,
! [X0] :
( ~ sQ113_spl
| ~ product(e_4,e_4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2749,f123]) ).
fof(f2751,plain,
( ~ sQ122_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f738,f2750]) ).
fof(f2752,plain,
( ~ sQ122_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f2751]) ).
fof(f2753,plain,
( ~ sQ130_spl
| ~ sQ127_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f754,f2600]) ).
fof(f2754,plain,
( ~ sQ127_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f754,f166]) ).
fof(f2755,plain,
( ~ sQ127_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f754,f135]) ).
fof(f2758,plain,
( ~ sQ127_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f754,f128]) ).
fof(f2759,plain,
( ~ sQ127_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f754,f125]) ).
fof(f2766,plain,
( ~ sQ130_spl
| ~ sQ127_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f2753,f397,f753,f763]) ).
fof(f2767,plain,
( ~ sQ127_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f2758,f513,f753]) ).
fof(f2769,plain,
( ~ sQ135_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f2574,f532,f779]) ).
fof(f2770,plain,
( ~ sQ126_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f2567,f718,f750]) ).
fof(f2771,plain,
( ~ sQ16_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f284,f589]) ).
fof(f2772,plain,
( ~ sQ16_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2771]) ).
fof(f2773,plain,
( ~ sQ14_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f278,f589]) ).
fof(f2774,plain,
( ~ sQ14_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2773]) ).
fof(f2775,plain,
( ~ sQ17_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f287,f589]) ).
fof(f2776,plain,
( ~ sQ17_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2775]) ).
fof(f2777,plain,
( ~ sQ111_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f2201,f753,f670]) ).
fof(f2778,plain,
( ~ sQ111_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f2206,f673,f670]) ).
fof(f2779,plain,
( ~ sQ97_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f2323,f673,f625]) ).
fof(f2780,plain,
( ~ sQ115_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f2448,f779,f715]) ).
fof(f2781,plain,
( ~ sQ115_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f2450,f500,f715]) ).
fof(f2782,plain,
( ~ sQ131_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f767,f170]) ).
fof(f2784,plain,
( ~ sQ131_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f767,f148]) ).
fof(f2785,plain,
( ~ sQ131_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f767,f141]) ).
fof(f2786,plain,
( ~ sQ131_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f767,f140]) ).
fof(f2788,plain,
( ~ sQ131_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f767,f125]) ).
fof(f2791,plain,
( ~ sQ131_spl
| ~ sQ116_spl ),
inference(split_clause,[status(thm)],[f2782,f718,f766]) ).
fof(f2802,plain,
( ~ sQ119_spl
| ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f729,f2445]) ).
fof(f2803,plain,
( ~ sQ119_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f2802]) ).
fof(f2804,plain,
( ~ sQ118_spl
| ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f726,f2445]) ).
fof(f2805,plain,
( ~ sQ118_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f2804]) ).
fof(f2806,plain,
( ~ sQ133_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f774,f140]) ).
fof(f2807,plain,
( ~ sQ133_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f774,f128]) ).
fof(f2808,plain,
( ~ sQ133_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f774,f125]) ).
fof(f2810,plain,
( ~ sQ133_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f774,f127]) ).
fof(f2811,plain,
( ~ sQ133_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f774,f124]) ).
fof(f2813,plain,
! [X0] :
( ~ sQ133_spl
| ~ product(e_4,e_4,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f774,f122]) ).
fof(f2814,plain,
( ~ sQ133_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f2806,f375,f773]) ).
fof(f2815,plain,
( ~ sQ134_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f777,f140]) ).
fof(f2817,plain,
( ~ sQ134_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f777,f125]) ).
fof(f2822,plain,
( ~ sQ136_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f783,f128]) ).
fof(f2826,plain,
( ~ sQ136_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f783,f122]) ).
fof(f2829,plain,
( ~ sQ136_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f2822,f535,f782]) ).
fof(f2833,plain,
! [X0,X1,X2,X3,X4] :
( ~ next(X2,X4)
| ~ greater(e_1,e_0)
| ~ product(X2,e_1,X3)
| equalish(X3,X4)
| ~ cycle(X2,X1)
| ~ group_element(X2)
| ~ cycle(X2,X0)
| cycle(X2,e_2)
| cycle(X2,e_3)
| equalish(X1,e_4)
| equalish(X0,e_0) ),
inference(resolution,[status(thm)],[f987,f88]) ).
fof(f2835,definition,
! [X0,X1,X2,X3,X4] :
( sQ197_spl
<=> ( ~ next(X2,X4)
| ~ product(X2,e_1,X3)
| equalish(X3,X4)
| ~ cycle(X2,X1)
| ~ group_element(X2)
| ~ cycle(X2,X0)
| cycle(X2,e_2)
| cycle(X2,e_3)
| equalish(X1,e_4)
| equalish(X0,e_0) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f2838,plain,
( ~ sQ9_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f2833,f2835,f236]) ).
fof(f2839,definition,
! [X1] :
( sQ198_spl
<=> ( ~ cycle(e_5,X1)
| equalish(X1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f2846,plain,
! [X0,X1,X2,X3] :
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| ~ next(e_3,X3)
| cycle(e_3,e_1)
| ~ cycle(X3,X0)
| equalish(X2,e_0)
| equalish(e_4,X1)
| ~ cycle(e_3,X2)
| ~ next(X0,X1) ),
inference(resolution,[status(thm)],[f985,f91]) ).
fof(f2847,plain,
! [X0,X1,X2,X3] :
( cycle(e_4,e_3)
| cycle(e_4,e_2)
| ~ next(e_4,X3)
| cycle(e_4,e_1)
| ~ cycle(X3,X0)
| equalish(X2,e_0)
| equalish(e_4,X1)
| ~ cycle(e_4,X2)
| ~ next(X0,X1) ),
inference(resolution,[status(thm)],[f985,f92]) ).
fof(f2848,plain,
! [X0,X1,X2,X3] :
( cycle(e_5,e_3)
| cycle(e_5,e_2)
| ~ next(e_5,X3)
| cycle(e_5,e_1)
| ~ cycle(X3,X0)
| equalish(X2,e_0)
| equalish(e_4,X1)
| ~ cycle(e_5,X2)
| ~ next(X0,X1) ),
inference(resolution,[status(thm)],[f985,f93]) ).
fof(f2850,plain,
! [X0,X1,X2,X3] :
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| ~ next(e_1,X3)
| cycle(e_1,e_1)
| ~ cycle(X3,X0)
| equalish(X2,e_0)
| equalish(e_4,X1)
| ~ cycle(e_1,X2)
| ~ next(X0,X1) ),
inference(resolution,[status(thm)],[f985,f89]) ).
fof(f2851,definition,
! [X0,X1,X3] :
( sQ200_spl
<=> ( ~ next(e_3,X3)
| ~ cycle(X3,X0)
| equalish(e_4,X1)
| ~ next(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f2854,definition,
! [X2] :
( sQ201_spl
<=> ( equalish(X2,e_0)
| ~ cycle(e_3,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f2857,plain,
( sQ141_spl
| sQ142_spl
| sQ143_spl
| sQ201_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f2846,f2851,f2854,f943,f940,f937]) ).
fof(f2858,definition,
! [X0,X1,X3] :
( sQ202_spl
<=> ( ~ next(e_5,X3)
| ~ cycle(X3,X0)
| equalish(e_4,X1)
| ~ next(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f2861,plain,
( sQ5_spl
| sQ6_spl
| sQ7_spl
| sQ146_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f2848,f2858,f988,f224,f221,f218]) ).
fof(f2862,definition,
! [X0,X1,X3] :
( sQ203_spl
<=> ( ~ next(e_1,X3)
| ~ cycle(X3,X0)
| equalish(e_4,X1)
| ~ next(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f2865,definition,
! [X2] :
( sQ204_spl
<=> ( equalish(X2,e_0)
| ~ cycle(e_1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f2868,plain,
( sQ161_spl
| sQ165_spl
| sQ164_spl
| sQ204_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f2850,f2862,f2865,f1123,f1126,f1114]) ).
fof(f2869,definition,
! [X0,X1,X3] :
( sQ205_spl
<=> ( ~ next(e_4,X3)
| ~ cycle(X3,X0)
| equalish(e_4,X1)
| ~ next(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f2872,definition,
! [X2] :
( sQ206_spl
<=> ( equalish(X2,e_0)
| ~ cycle(e_4,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f2875,plain,
( sQ152_spl
| sQ156_spl
| sQ155_spl
| sQ206_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f2847,f2869,f2872,f1064,f1067,f1055]) ).
fof(f2883,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ next(e_3,X5)
| ~ cycle(X6,X0)
| cycle(e_3,e_2)
| ~ greater(e_3,X4)
| ~ next(e_3,X6)
| equalish(e_4,X1)
| cycle(e_3,e_1)
| ~ cycle(X5,X3)
| cycle(e_3,e_3)
| ~ cycle(X4,X2)
| ~ greater(X2,X3)
| ~ next(X0,X1) ),
inference(resolution,[status(thm)],[f1004,f91]) ).
fof(f2884,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ next(e_4,X5)
| ~ cycle(X6,X0)
| cycle(e_4,e_2)
| ~ greater(e_4,X4)
| ~ next(e_4,X6)
| equalish(e_4,X1)
| cycle(e_4,e_1)
| ~ cycle(X5,X3)
| cycle(e_4,e_3)
| ~ cycle(X4,X2)
| ~ greater(X2,X3)
| ~ next(X0,X1) ),
inference(resolution,[status(thm)],[f1004,f92]) ).
fof(f2885,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ next(e_5,X5)
| ~ cycle(X6,X0)
| cycle(e_5,e_2)
| ~ greater(e_5,X4)
| ~ next(e_5,X6)
| equalish(e_4,X1)
| cycle(e_5,e_1)
| ~ cycle(X5,X3)
| cycle(e_5,e_3)
| ~ cycle(X4,X2)
| ~ greater(X2,X3)
| ~ next(X0,X1) ),
inference(resolution,[status(thm)],[f1004,f93]) ).
fof(f2887,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ next(e_1,X5)
| ~ cycle(X6,X0)
| cycle(e_1,e_2)
| ~ greater(e_1,X4)
| ~ next(e_1,X6)
| equalish(e_4,X1)
| cycle(e_1,e_1)
| ~ cycle(X5,X3)
| cycle(e_1,e_3)
| ~ cycle(X4,X2)
| ~ greater(X2,X3)
| ~ next(X0,X1) ),
inference(resolution,[status(thm)],[f1004,f89]) ).
fof(f2892,plain,
( sQ6_spl
| sQ7_spl
| sQ5_spl
| sQ149_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f2885,f2858,f1007,f218,f224,f221]) ).
fof(f2893,definition,
! [X2,X3,X4,X5] :
( sQ210_spl
<=> ( ~ next(e_3,X5)
| ~ greater(e_3,X4)
| ~ cycle(X5,X3)
| ~ cycle(X4,X2)
| ~ greater(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2896,plain,
( sQ142_spl
| sQ143_spl
| sQ141_spl
| sQ210_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f2883,f2851,f2893,f937,f943,f940]) ).
fof(f2897,definition,
! [X2,X3,X4,X5] :
( sQ211_spl
<=> ( ~ next(e_1,X5)
| ~ greater(e_1,X4)
| ~ cycle(X5,X3)
| ~ cycle(X4,X2)
| ~ greater(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2900,plain,
( sQ165_spl
| sQ164_spl
| sQ161_spl
| sQ211_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f2887,f2862,f2897,f1114,f1123,f1126]) ).
fof(f2901,definition,
! [X2,X3,X4,X5] :
( sQ212_spl
<=> ( ~ next(e_4,X5)
| ~ greater(e_4,X4)
| ~ cycle(X5,X3)
| ~ cycle(X4,X2)
| ~ greater(X2,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f2904,plain,
( sQ156_spl
| sQ155_spl
| sQ152_spl
| sQ212_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f2884,f2869,f2901,f1055,f1064,f1067]) ).
fof(f2913,plain,
( ~ sQ105_spl
| ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2003,f777]) ).
fof(f2914,plain,
( ~ sQ105_spl
| ~ sQ134_spl ),
inference(contradiction_clause,[status(thm)],[f2913]) ).
fof(f2917,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ next(X0,X7)
| ~ greater(e_1,e_0)
| ~ product(X0,e_1,X6)
| equalish(X6,X7)
| cycle(X0,e_2)
| ~ greater(X0,X4)
| ~ next(X0,X2)
| ~ group_element(X0)
| ~ greater(X5,X3)
| ~ cycle(X4,X5)
| cycle(X0,e_3)
| ~ cycle(X2,X3)
| equalish(X1,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f1006,f88]) ).
fof(f2919,definition,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( sQ213_spl
<=> ( ~ next(X0,X7)
| ~ product(X0,e_1,X6)
| equalish(X6,X7)
| cycle(X0,e_2)
| ~ greater(X0,X4)
| ~ next(X0,X2)
| ~ group_element(X0)
| ~ greater(X5,X3)
| ~ cycle(X4,X5)
| cycle(X0,e_3)
| ~ cycle(X2,X3)
| equalish(X1,e_4)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2922,plain,
( ~ sQ9_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f2917,f2919,f236]) ).
fof(f2924,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f404,f1614]) ).
fof(f2928,plain,
( ~ sQ52_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f404,f141]) ).
fof(f2929,plain,
! [X0,X1] :
( ~ sQ148_spl
| ~ sQ52_spl
| ~ cycle(e_5,X1)
| ~ next(e_5,X0)
| cycle(e_5,e_2)
| cycle(e_5,e_3)
| equalish(X1,e_0)
| equalish(e_3,X0)
| cycle(e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[f404,f996]) ).
fof(f2932,plain,
( ~ sQ52_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f404,f137]) ).
fof(f2936,definition,
! [X0] :
( sQ214_spl
<=> ( ~ next(e_5,X0)
| equalish(e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2939,plain,
( ~ sQ148_spl
| ~ sQ52_spl
| sQ6_spl
| sQ5_spl
| sQ146_spl
| sQ214_spl
| sQ7_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2929,f227,f224,f2936,f988,f218,f221,f403,f995]) ).
fof(f2941,plain,
( ~ sQ55_spl
| ~ sQ52_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f2924,f635,f403,f413]) ).
fof(f2942,plain,
( ~ sQ52_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2932,f334,f403]) ).
fof(f2943,plain,
( ~ sQ117_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f2722,f497,f721]) ).
fof(f2944,plain,
( ~ sQ24_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f905,f293,f309]) ).
fof(f2945,plain,
( ~ sQ125_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f2503,f362,f747]) ).
fof(f2947,plain,
( ~ sQ133_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f2810,f782,f773]) ).
fof(f2948,plain,
( ~ sQ123_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f2389,f773,f741]) ).
fof(f2949,plain,
( ~ sQ101_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f2156,f465,f638]) ).
fof(f2951,plain,
( ~ sQ136_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f2826,f535,f782]) ).
fof(f2952,plain,
( ~ sQ24_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f908,f465,f309]) ).
fof(f2953,plain,
( ~ sQ131_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f2784,f782,f766]) ).
fof(f2954,plain,
( ~ sQ123_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2391,f359,f741]) ).
fof(f2955,plain,
( ~ sQ123_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f2394,f747,f741]) ).
fof(f2956,plain,
( ~ sQ104_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f2268,f651,f648]) ).
fof(f2958,plain,
( ~ sQ45_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f1565,f529,f381]) ).
fof(f2959,plain,
! [X0] :
( ~ sQ133_spl
| ~ product(e_4,e_4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2813,f126]) ).
fof(f2960,plain,
( ~ sQ104_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f2263,f773,f648]) ).
fof(f2961,plain,
( ~ sQ101_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f2154,f309,f638]) ).
fof(f2963,plain,
( ~ sQ132_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f2476,f721,f769]) ).
fof(f2964,plain,
( ~ sQ124_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f2402,f776,f744]) ).
fof(f2965,plain,
( ~ sQ20_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f870,f280,f296]) ).
fof(f2966,plain,
( ~ sQ132_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f2485,f766,f769]) ).
fof(f2967,plain,
( ~ sQ134_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f2817,f350,f776]) ).
fof(f2968,plain,
( ~ sQ76_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f501,f1863]) ).
fof(f2969,plain,
( ~ sQ76_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f2968]) ).
fof(f2970,plain,
( ~ sQ128_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f2439,f331,f757]) ).
fof(f2971,plain,
( ~ sQ128_spl
| ~ sQ133_spl ),
inference(split_clause,[status(thm)],[f2435,f773,f757]) ).
fof(f2972,plain,
( ~ sQ133_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f2807,f526,f773]) ).
fof(f2973,plain,
( ~ sQ38_spl
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f1345,f91]) ).
fof(f2974,plain,
( ~ sQ38_spl
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f1345,f92]) ).
fof(f2975,plain,
( ~ sQ38_spl
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f1345,f93]) ).
fof(f2978,plain,
( ~ sQ38_spl
| sQ62_spl
| sQ58_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f2973,f429,f432,f423,f435,f359]) ).
fof(f2980,plain,
( ~ sQ38_spl
| sQ57_spl
| sQ53_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f2974,f413,f416,f407,f419,f359]) ).
fof(f2982,plain,
( ~ sQ38_spl
| sQ52_spl
| sQ48_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f2975,f397,f400,f391,f403,f359]) ).
fof(f2983,plain,
( ~ sQ28_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f844,f274,f322]) ).
fof(f2984,plain,
( ~ sQ36_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f853,f526,f347]) ).
fof(f2985,plain,
( ~ sQ129_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f2710,f776,f760]) ).
fof(f2986,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f1153,f776,f347,f309]) ).
fof(f2987,plain,
( ~ sQ95_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f2100,f475,f619]) ).
fof(f2988,plain,
( ~ sQ95_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f2099,f760,f619]) ).
fof(f2989,plain,
( ~ sQ95_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f2095,f635,f619]) ).
fof(f2990,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f999,f785,f347,f309]) ).
fof(f2991,plain,
( ~ sQ129_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f2715,f766,f760]) ).
fof(f2992,plain,
( ~ sQ129_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f2713,f475,f760]) ).
fof(f2993,plain,
( ~ sQ48_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1348,f423,f391]) ).
fof(f2994,plain,
( ~ sQ39_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1401,f378,f362]) ).
fof(f2995,plain,
( ~ sQ129_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f2709,f728,f760]) ).
fof(f2996,plain,
( ~ sQ24_spl
| ~ sQ30_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f1185,f673,f328,f309]) ).
fof(f2997,plain,
( ~ sQ30_spl
| ~ sQ24_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1101,f641,f309,f328]) ).
fof(f2998,plain,
( ~ sQ52_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2928,f371,f403]) ).
fof(f2999,plain,
( ~ sQ69_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1724,f526,f478]) ).
fof(f3001,plain,
( ~ sQ43_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1628,f526,f375]) ).
fof(f3002,plain,
( ~ sQ24_spl
| ~ sQ30_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1190,f471,f328,f309]) ).
fof(f3003,plain,
( ~ sQ117_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2721,f429,f721]) ).
fof(f3005,plain,
( ~ sQ124_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2404,f371,f744]) ).
fof(f3026,plain,
( ~ sQ103_spl
| ~ sQ112_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f674,f2235]) ).
fof(f3033,plain,
( ~ sQ103_spl
| ~ sQ112_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f3026,f516,f673,f645]) ).
fof(f3034,plain,
( ~ sQ101_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f2160,f641,f638]) ).
fof(f3035,plain,
( ~ sQ102_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2379,f416,f641]) ).
fof(f3044,plain,
( ~ sQ130_spl
| ~ sQ123_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f742,f2600]) ).
fof(f3049,plain,
( ~ sQ123_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f742,f125]) ).
fof(f3055,plain,
( ~ sQ130_spl
| ~ sQ123_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f3044,f391,f741,f763]) ).
fof(f3056,plain,
( ~ sQ123_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f3049,f299,f741]) ).
fof(f3057,plain,
( ~ sQ66_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f1685,f532,f468]) ).
fof(f3058,plain,
( ~ sQ66_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1687,f471,f468]) ).
fof(f3059,plain,
( ~ sQ98_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f2086,f468,f629]) ).
fof(f3060,plain,
( ~ sQ128_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f2433,f709,f757]) ).
fof(f3061,plain,
( ~ sQ48_spl
| ~ sQ60_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1535,f600,f429,f391]) ).
fof(f3062,plain,
( ~ sQ113_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f2744,f283,f709]) ).
fof(f3063,plain,
( ~ sQ126_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2570,f296,f750]) ).
fof(f3064,plain,
( ~ sQ128_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f2437,f391,f757]) ).
fof(f3065,plain,
( ~ sQ66_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f1686,f500,f468]) ).
fof(f3067,plain,
( ~ sQ132_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f2477,f737,f769]) ).
fof(f3068,plain,
( ~ sQ14_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f278,f1538]) ).
fof(f3069,plain,
( ~ sQ14_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f3068]) ).
fof(f3070,plain,
( ~ sQ103_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f2230,f779,f645]) ).
fof(f3071,plain,
( ~ sQ101_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f639,f2247]) ).
fof(f3072,plain,
( ~ sQ101_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f3071]) ).
fof(f3073,plain,
( ~ sQ30_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f897,f280,f328]) ).
fof(f3074,plain,
( ~ sQ98_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2084,f306,f629]) ).
fof(f3075,plain,
( ~ sQ101_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f2158,f635,f638]) ).
fof(f3076,plain,
( ~ sQ97_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f2325,f766,f625]) ).
fof(f3077,plain,
( ~ sQ109_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f2183,f648,f664]) ).
fof(f3078,plain,
( ~ sQ39_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1402,f426,f362]) ).
fof(f3079,plain,
( ~ sQ131_spl
| ~ sQ126_spl ),
inference(split_clause,[status(thm)],[f2785,f750,f766]) ).
fof(f3080,plain,
( ~ sQ113_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f2743,f494,f709]) ).
fof(f3081,plain,
( ~ sQ74_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1701,f526,f494]) ).
fof(f3082,plain,
( ~ sQ88_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2014,f426,f597]) ).
fof(f3083,plain,
( ~ sQ104_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f2264,f526,f648]) ).
fof(f3084,plain,
( ~ sQ132_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f2478,f785,f769]) ).
fof(f3085,plain,
( ~ sQ92_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f2049,f503,f609]) ).
fof(f3086,plain,
( ~ sQ113_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f2745,f715,f709]) ).
fof(f3087,plain,
( ~ sQ96_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f2251,f769,f622]) ).
fof(f3088,plain,
( ~ sQ92_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f2047,f280,f609]) ).
fof(f3089,plain,
( ~ sQ137_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f2414,f529,f785]) ).
fof(f3090,plain,
( ~ sQ58_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f1489,f283,f423]) ).
fof(f3091,plain,
( ~ sQ93_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f2169,f597,f613]) ).
fof(f3092,plain,
( ~ sQ131_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f2788,f328,f766]) ).
fof(f3093,plain,
( ~ sQ69_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f1725,f510,f478]) ).
fof(f3094,plain,
( ~ sQ37_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f574,f523,f350]) ).
fof(f3095,plain,
( ~ sQ89_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f2143,f709,f600]) ).
fof(f3096,plain,
( ~ sQ113_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2742,f423,f709]) ).
fof(f3097,plain,
( ~ sQ89_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f2145,f423,f600]) ).
fof(f3098,plain,
( ~ sQ89_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f2141,f648,f600]) ).
fof(f3110,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ150_spl
| ~ sQ56_spl
| ~ cycle(X2,X4)
| ~ greater(X1,X4)
| cycle(e_4,e_3)
| equalish(e_2,X3)
| cycle(e_4,e_1)
| ~ group_element(e_4)
| ~ next(e_4,X3)
| cycle(e_4,e_2)
| ~ next(e_4,X2)
| ~ cycle(X0,X1)
| ~ greater(e_4,X0) ),
inference(resolution,[status(thm)],[f417,f1012]) ).
fof(f3111,plain,
! [X0,X1] :
( ~ sQ148_spl
| ~ sQ56_spl
| ~ cycle(e_4,X1)
| ~ next(e_4,X0)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| equalish(X1,e_0)
| equalish(e_2,X0)
| cycle(e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[f417,f996]) ).
fof(f3118,definition,
! [X0] :
( sQ215_spl
<=> ( ~ next(e_4,X0)
| equalish(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f3121,plain,
( ~ sQ148_spl
| ~ sQ56_spl
| sQ156_spl
| sQ152_spl
| sQ206_spl
| sQ215_spl
| sQ155_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f3111,f1058,f1064,f3118,f2872,f1055,f1067,f416,f995]) ).
fof(f3122,plain,
( ~ sQ150_spl
| ~ sQ56_spl
| sQ152_spl
| sQ155_spl
| ~ sQ153_spl
| sQ215_spl
| sQ156_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f3110,f2901,f1067,f3118,f1058,f1064,f1055,f416,f1011]) ).
fof(f3126,plain,
( ~ sQ19_spl
| ~ sQ23_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f307,f840]) ).
fof(f3132,plain,
( ~ sQ19_spl
| ~ sQ23_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f3126,f413,f306,f293]) ).
fof(f3133,plain,
( ~ sQ17_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f874,f350,f286]) ).
fof(f3136,plain,
( ~ sQ31_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f439,f283,f331]) ).
fof(f3137,plain,
( ~ sQ16_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f284,f588]) ).
fof(f3138,plain,
( ~ sQ16_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f3137]) ).
fof(f3139,plain,
( ~ sQ135_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f2575,f338,f779]) ).
fof(f3140,plain,
( ~ sQ13_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f859,f338,f274]) ).
fof(f3141,plain,
( ~ sQ67_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f472,f1467]) ).
fof(f3142,plain,
( ~ sQ67_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f3141]) ).
fof(f3143,plain,
( ~ sQ60_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f1536,f497,f429]) ).
fof(f3144,plain,
( ~ sQ112_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f2240,f296,f673]) ).
fof(f3155,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ150_spl
| ~ sQ39_spl
| ~ cycle(X2,X4)
| ~ greater(X1,X4)
| cycle(e_1,e_3)
| equalish(e_1,X3)
| cycle(e_1,e_1)
| ~ group_element(e_1)
| ~ next(e_1,X3)
| cycle(e_1,e_2)
| ~ next(e_1,X2)
| ~ cycle(X0,X1)
| ~ greater(e_1,X0) ),
inference(resolution,[status(thm)],[f363,f1012]) ).
fof(f3156,plain,
! [X0,X1] :
( ~ sQ148_spl
| ~ sQ39_spl
| ~ cycle(e_1,X1)
| ~ next(e_1,X0)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| equalish(X1,e_0)
| equalish(e_1,X0)
| cycle(e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[f363,f996]) ).
fof(f3167,definition,
! [X0] :
( sQ216_spl
<=> ( ~ next(e_1,X0)
| equalish(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f3170,plain,
( ~ sQ148_spl
| ~ sQ39_spl
| sQ165_spl
| sQ161_spl
| sQ204_spl
| sQ216_spl
| sQ164_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f3156,f1117,f1123,f3167,f2865,f1114,f1126,f362,f995]) ).
fof(f3171,plain,
( ~ sQ150_spl
| ~ sQ39_spl
| sQ161_spl
| sQ164_spl
| ~ sQ162_spl
| sQ216_spl
| sQ165_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f3155,f2897,f1126,f3167,f1117,f1123,f1114,f362,f1011]) ).
fof(f3176,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ150_spl
| ~ sQ52_spl
| ~ cycle(X2,X4)
| ~ greater(X1,X4)
| cycle(e_5,e_3)
| equalish(e_3,X3)
| cycle(e_5,e_1)
| ~ group_element(e_5)
| ~ next(e_5,X3)
| cycle(e_5,e_2)
| ~ next(e_5,X2)
| ~ cycle(X0,X1)
| ~ greater(e_5,X0) ),
inference(resolution,[status(thm)],[f404,f1012]) ).
fof(f3184,plain,
( ~ sQ150_spl
| ~ sQ52_spl
| sQ5_spl
| sQ7_spl
| ~ sQ8_spl
| sQ214_spl
| sQ6_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f3176,f1007,f221,f2936,f227,f224,f218,f403,f1011]) ).
fof(f3187,plain,
! [X0,X1,X2,X3,X4] :
( sQ7_spl
| cycle(e_5,e_2)
| ~ greater(e_5,X3)
| ~ next(e_5,X1)
| ~ group_element(e_5)
| ~ greater(X4,X2)
| ~ cycle(X3,X4)
| cycle(e_5,e_3)
| ~ cycle(X1,X2)
| equalish(X0,e_4)
| ~ cycle(e_5,X0) ),
inference(resolution,[status(thm)],[f226,f1006]) ).
fof(f3188,plain,
! [X0,X1] :
( sQ7_spl
| ~ cycle(e_5,X1)
| ~ group_element(e_5)
| ~ cycle(e_5,X0)
| cycle(e_5,e_2)
| cycle(e_5,e_3)
| equalish(X1,e_4)
| equalish(X0,e_0) ),
inference(resolution,[status(thm)],[f226,f987]) ).
fof(f3189,plain,
( sQ7_spl
| ~ sQ8_spl
| sQ6_spl
| sQ5_spl
| sQ198_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f3188,f988,f2839,f218,f221,f227,f224]) ).
fof(f3190,plain,
( sQ7_spl
| sQ6_spl
| ~ sQ8_spl
| sQ5_spl
| sQ149_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f3187,f2839,f1007,f218,f227,f221,f224]) ).
fof(f3197,plain,
( ~ sQ96_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f623,f150]) ).
fof(f3207,plain,
( ~ sQ118_spl
| ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f726,f2959]) ).
fof(f3208,plain,
( ~ sQ118_spl
| ~ sQ133_spl ),
inference(contradiction_clause,[status(thm)],[f3207]) ).
fof(f3209,plain,
( ~ sQ119_spl
| ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f729,f2959]) ).
fof(f3210,plain,
( ~ sQ119_spl
| ~ sQ133_spl ),
inference(contradiction_clause,[status(thm)],[f3209]) ).
fof(f3211,plain,
( ~ sQ122_spl
| ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f738,f2959]) ).
fof(f3212,plain,
( ~ sQ122_spl
| ~ sQ133_spl ),
inference(contradiction_clause,[status(thm)],[f3211]) ).
fof(f3213,plain,
( ~ sQ121_spl
| ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f735,f2959]) ).
fof(f3214,plain,
( ~ sQ121_spl
| ~ sQ133_spl ),
inference(contradiction_clause,[status(thm)],[f3213]) ).
fof(f3223,plain,
( ~ sQ24_spl
| ~ sQ31_spl
| product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f332,f914]) ).
fof(f3228,plain,
( ~ sQ24_spl
| ~ sQ31_spl
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f332,f913]) ).
fof(f3235,plain,
( ~ sQ24_spl
| ~ sQ31_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3228,f769,f331,f309]) ).
fof(f3236,plain,
( ~ sQ24_spl
| ~ sQ31_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f3223,f632,f331,f309]) ).
fof(f3259,plain,
( ~ sQ24_spl
| ~ sQ21_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f832,f310]) ).
fof(f3260,plain,
( ~ sQ24_spl
| ~ sQ21_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f3259,f753,f299,f309]) ).
fof(f3261,plain,
( ~ sQ112_spl
| ~ sQ104_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f649,f2245]) ).
fof(f3271,plain,
( ~ sQ112_spl
| ~ sQ104_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f3261,f510,f648,f673]) ).
fof(f3272,plain,
( ~ sQ57_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1523,f459,f419]) ).
fof(f3273,plain,
( ~ sQ96_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f3197,f481,f622]) ).
fof(f3274,plain,
( ~ sQ131_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2786,f400,f766]) ).
fof(f3276,plain,
( ~ sQ134_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2815,f387,f776]) ).
fof(f3277,plain,
( ~ sQ57_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1521,f387,f419]) ).
fof(f3278,plain,
( ~ sQ102_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f2375,f609,f641]) ).
fof(f3279,plain,
( ~ sQ76_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f1988,f532,f500]) ).
fof(f3280,plain,
( ~ sQ133_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f2808,f347,f773]) ).
fof(f3281,plain,
( ~ sQ127_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f2759,f293,f753]) ).
fof(f3282,plain,
( ~ sQ109_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2188,f359,f664]) ).
fof(f3283,plain,
( ~ sQ133_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f2811,f776,f773]) ).
fof(f3284,plain,
( ~ sQ48_spl
| ~ sQ45_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f1564,f648,f381,f391]) ).
fof(f3285,plain,
( ~ sQ120_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f2605,f715,f731]) ).
fof(f3286,plain,
( ~ sQ48_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f1351,f359,f391]) ).
fof(f3287,plain,
( ~ sQ101_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f2153,f606,f638]) ).
fof(f3288,plain,
( ~ sQ120_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f2607,f468,f731]) ).
fof(f3289,plain,
( ~ sQ48_spl
| ~ sQ57_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1519,f760,f419,f391]) ).
fof(f3290,plain,
( ~ sQ110_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f2110,f744,f667]) ).
fof(f3291,plain,
( ~ sQ106_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f2118,f529,f654]) ).
fof(f3292,plain,
( ~ sQ112_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f2242,f519,f673]) ).
fof(f3293,plain,
( ~ sQ105_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f2005,f387,f651]) ).
fof(f3294,plain,
( ~ sQ61_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f1212,f503,f432]) ).
fof(f3295,plain,
! [X0] :
( ~ sQ95_spl
| product(X0,e_5,e_2)
| product(X0,e_5,e_4)
| product(X0,e_5,e_1)
| ~ group_element(X0)
| product(X0,e_5,e_3) ),
inference(backward_subsumption_resolution,[status(thm)],[f156,f2106]) ).
fof(f3296,plain,
( ~ sQ95_spl
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f3295,f91]) ).
fof(f3297,plain,
( ~ sQ95_spl
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f3295,f92]) ).
fof(f3299,plain,
( ~ sQ95_spl
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f3295,f90]) ).
fof(f3300,plain,
( ~ sQ95_spl
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f3295,f89]) ).
fof(f3301,plain,
( ~ sQ95_spl
| sQ102_spl
| sQ100_spl
| sQ99_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f3297,f629,f632,f635,f641,f619]) ).
fof(f3302,plain,
( ~ sQ95_spl
| sQ112_spl
| sQ110_spl
| sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f3300,f661,f664,f667,f673,f619]) ).
fof(f3303,plain,
( ~ sQ95_spl
| sQ107_spl
| sQ105_spl
| sQ104_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f3299,f645,f648,f651,f657,f619]) ).
fof(f3304,plain,
( ~ sQ95_spl
| sQ92_spl
| sQ90_spl
| sQ89_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f3296,f597,f600,f603,f609,f619]) ).
fof(f3306,plain,
( ~ sQ67_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f1771,f519,f471]) ).
fof(f3307,plain,
( ~ sQ102_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f2378,f471,f641]) ).
fof(f3308,plain,
( ~ sQ110_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f2112,f371,f667]) ).
fof(f3309,plain,
( ~ sQ109_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f2186,f741,f664]) ).
fof(f3310,plain,
( ~ sQ54_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1042,f378,f410]) ).
fof(f3311,plain,
( ~ sQ135_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2573,f378,f779]) ).
fof(f3312,plain,
( ~ sQ127_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f2755,f721,f753]) ).
fof(f3313,plain,
( ~ sQ57_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1520,f371,f419]) ).
fof(f3314,plain,
( ~ sQ127_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f2754,f785,f753]) ).
fof(f3315,plain,
( ~ sQ95_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f2096,f651,f619]) ).
fof(f3316,plain,
( ~ sQ123_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f2392,f510,f741]) ).
fof(f3352,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ150_spl
| ~ sQ48_spl
| ~ cycle(X2,X4)
| ~ greater(X1,X4)
| cycle(e_5,e_3)
| equalish(e_4,X3)
| cycle(e_5,e_1)
| ~ group_element(e_5)
| ~ next(e_5,X3)
| cycle(e_5,e_2)
| ~ next(e_5,X2)
| ~ cycle(X0,X1)
| ~ greater(e_5,X0) ),
inference(resolution,[status(thm)],[f392,f1012]) ).
fof(f3353,plain,
! [X0,X1] :
( ~ sQ148_spl
| ~ sQ48_spl
| ~ cycle(e_5,X1)
| ~ next(e_5,X0)
| cycle(e_5,e_2)
| cycle(e_5,e_3)
| equalish(X1,e_0)
| equalish(e_4,X0)
| cycle(e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[f392,f996]) ).
fof(f3363,definition,
! [X0] :
( sQ217_spl
<=> ( ~ next(e_5,X0)
| equalish(e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f3366,plain,
( ~ sQ148_spl
| ~ sQ48_spl
| sQ6_spl
| sQ5_spl
| sQ146_spl
| sQ217_spl
| sQ7_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3353,f227,f224,f3363,f988,f218,f221,f391,f995]) ).
fof(f3367,plain,
( ~ sQ150_spl
| ~ sQ48_spl
| sQ5_spl
| sQ7_spl
| ~ sQ8_spl
| sQ217_spl
| sQ6_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f3352,f1007,f221,f3363,f227,f224,f218,f391,f1011]) ).
fof(f3369,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ150_spl
| ~ sQ61_spl
| ~ cycle(X2,X4)
| ~ greater(X1,X4)
| cycle(e_3,e_3)
| equalish(e_2,X3)
| cycle(e_3,e_1)
| ~ group_element(e_3)
| ~ next(e_3,X3)
| cycle(e_3,e_2)
| ~ next(e_3,X2)
| ~ cycle(X0,X1)
| ~ greater(e_3,X0) ),
inference(resolution,[status(thm)],[f433,f1012]) ).
fof(f3370,plain,
! [X0,X1] :
( ~ sQ148_spl
| ~ sQ61_spl
| ~ cycle(e_3,X1)
| ~ next(e_3,X0)
| cycle(e_3,e_2)
| cycle(e_3,e_3)
| equalish(X1,e_0)
| equalish(e_2,X0)
| cycle(e_3,e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[f433,f996]) ).
fof(f3377,definition,
! [X3] :
( sQ218_spl
<=> ( equalish(e_2,X3)
| ~ next(e_3,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f3380,plain,
( ~ sQ150_spl
| ~ sQ61_spl
| sQ141_spl
| sQ143_spl
| ~ sQ144_spl
| sQ218_spl
| sQ142_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f3369,f2893,f940,f3377,f946,f943,f937,f432,f1011]) ).
fof(f3381,plain,
( ~ sQ148_spl
| ~ sQ61_spl
| sQ142_spl
| sQ141_spl
| sQ201_spl
| sQ218_spl
| sQ143_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f3370,f946,f943,f3377,f2854,f937,f940,f432,f995]) ).
fof(f3382,plain,
( ~ sQ42_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f372,f166]) ).
fof(f3384,plain,
( ~ sQ61_spl
| ~ sQ42_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f372,f1215]) ).
fof(f3385,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ150_spl
| ~ sQ42_spl
| ~ cycle(X2,X4)
| ~ greater(X1,X4)
| cycle(e_1,e_3)
| equalish(e_3,X3)
| cycle(e_1,e_1)
| ~ group_element(e_1)
| ~ next(e_1,X3)
| cycle(e_1,e_2)
| ~ next(e_1,X2)
| ~ cycle(X0,X1)
| ~ greater(e_1,X0) ),
inference(resolution,[status(thm)],[f372,f1012]) ).
fof(f3386,plain,
! [X0,X1] :
( ~ sQ148_spl
| ~ sQ42_spl
| ~ cycle(e_1,X1)
| ~ next(e_1,X0)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| equalish(X1,e_0)
| equalish(e_3,X0)
| cycle(e_1,e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[f372,f996]) ).
fof(f3387,plain,
( ~ sQ42_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f372,f168]) ).
fof(f3388,plain,
( ~ sQ42_spl
| ~ cycle(e_1,e_0)
| ~ greater(e_3,e_1) ),
inference(resolution,[status(thm)],[f372,f86]) ).
fof(f3389,plain,
( ~ sQ42_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f372,f137]) ).
fof(f3393,definition,
! [X0] :
( sQ219_spl
<=> ( ~ next(e_1,X0)
| equalish(e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f3396,plain,
( ~ sQ148_spl
| ~ sQ42_spl
| sQ165_spl
| sQ161_spl
| sQ204_spl
| sQ219_spl
| sQ164_spl
| ~ sQ162_spl ),
inference(split_clause,[status(thm)],[f3386,f1117,f1123,f3393,f2865,f1114,f1126,f371,f995]) ).
fof(f3397,plain,
( ~ sQ150_spl
| ~ sQ42_spl
| sQ161_spl
| sQ164_spl
| ~ sQ162_spl
| sQ219_spl
| sQ165_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f3385,f2897,f1126,f3393,f1117,f1123,f1114,f371,f1011]) ).
fof(f3399,definition,
( sQ220_spl
<=> greater(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f3401,plain,
( sQ220_spl
| ~ greater(e_3,e_1) ),
inference(component_clause,[status(thm)],[f3399]) ).
fof(f3402,plain,
( ~ sQ42_spl
| ~ sQ167_spl
| ~ sQ220_spl ),
inference(split_clause,[status(thm)],[f3388,f3399,f1133,f371]) ).
fof(f3403,plain,
( ~ sQ42_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3387,f507,f371]) ).
fof(f3404,plain,
( ~ sQ61_spl
| ~ sQ42_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f3384,f296,f371,f432]) ).
fof(f3405,plain,
( ~ sQ103_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f2232,f378,f645]) ).
fof(f3406,plain,
( sQ220_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3401,f69]) ).
fof(f3407,plain,
sQ220_spl,
inference(contradiction_clause,[status(thm)],[f3406]) ).
fof(f3408,plain,
( ~ sQ117_spl
| ~ sQ137_spl ),
inference(split_clause,[status(thm)],[f2720,f785,f721]) ).
fof(f3413,plain,
! [X0,X1,X2,X3,X4] :
( sQ164_spl
| cycle(e_1,e_2)
| ~ greater(e_1,X3)
| ~ next(e_1,X1)
| ~ group_element(e_1)
| ~ greater(X4,X2)
| ~ cycle(X3,X4)
| cycle(e_1,e_3)
| ~ cycle(X1,X2)
| equalish(X0,e_4)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f1125,f1006]) ).
fof(f3414,plain,
! [X0,X1] :
( sQ164_spl
| ~ cycle(e_1,X1)
| ~ group_element(e_1)
| ~ cycle(e_1,X0)
| cycle(e_1,e_2)
| cycle(e_1,e_3)
| equalish(X1,e_4)
| equalish(X0,e_0) ),
inference(resolution,[status(thm)],[f1125,f987]) ).
fof(f3415,definition,
! [X1] :
( sQ221_spl
<=> ( ~ cycle(e_1,X1)
| equalish(X1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f3418,plain,
( sQ164_spl
| ~ sQ162_spl
| sQ165_spl
| sQ161_spl
| sQ221_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f3414,f2865,f3415,f1114,f1126,f1117,f1123]) ).
fof(f3419,plain,
( sQ164_spl
| sQ165_spl
| ~ sQ162_spl
| sQ161_spl
| sQ211_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f3413,f3415,f2897,f1114,f1117,f1126,f1123]) ).
fof(f3439,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ150_spl
| ~ sQ55_spl
| ~ cycle(X2,X4)
| ~ greater(X1,X4)
| cycle(e_4,e_3)
| equalish(e_5,X3)
| cycle(e_4,e_1)
| ~ group_element(e_4)
| ~ next(e_4,X3)
| cycle(e_4,e_2)
| ~ next(e_4,X2)
| ~ cycle(X0,X1)
| ~ greater(e_4,X0) ),
inference(resolution,[status(thm)],[f414,f1012]) ).
fof(f3440,plain,
! [X0,X1] :
( ~ sQ148_spl
| ~ sQ55_spl
| ~ cycle(e_4,X1)
| ~ next(e_4,X0)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| equalish(X1,e_0)
| equalish(e_5,X0)
| cycle(e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[f414,f996]) ).
fof(f3450,definition,
! [X0] :
( sQ222_spl
<=> ( ~ next(e_4,X0)
| equalish(e_5,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f3453,plain,
( ~ sQ148_spl
| ~ sQ55_spl
| sQ156_spl
| sQ152_spl
| sQ206_spl
| sQ222_spl
| sQ155_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f3440,f1058,f1064,f3450,f2872,f1055,f1067,f413,f995]) ).
fof(f3454,plain,
( ~ sQ150_spl
| ~ sQ55_spl
| sQ152_spl
| sQ155_spl
| ~ sQ153_spl
| sQ222_spl
| sQ156_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f3439,f2901,f1067,f3450,f1058,f1064,f1055,f413,f1011]) ).
fof(f3456,plain,
( ~ sQ51_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1222,f416,f400]) ).
fof(f3457,plain,
( ~ sQ47_spl
| ~ sQ56_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1466,f459,f416,f387]) ).
fof(f3458,plain,
( ~ sQ126_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2568,f368,f750]) ).
fof(f3459,plain,
( ~ sQ95_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f2097,f667,f619]) ).
fof(f3460,plain,
( ~ sQ126_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f2569,f519,f750]) ).
fof(f3461,plain,
( ~ sQ111_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f2204,f667,f670]) ).
fof(f3462,plain,
( ~ sQ49_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f1451,f484,f394]) ).
fof(f3463,plain,
( ~ sQ95_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f2098,f334,f619]) ).
fof(f3464,plain,
( ~ sQ41_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f1105,f519,f368]) ).
fof(f3465,plain,
( ~ sQ49_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1449,f378,f394]) ).
fof(f3466,plain,
( ~ sQ112_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f2243,f368,f673]) ).
fof(f3467,plain,
( ~ sQ49_spl
| ~ sQ60_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1534,f597,f429,f394]) ).
fof(f3468,plain,
! [X0,X1,X2,X3,X4] :
( sQ155_spl
| cycle(e_4,e_2)
| ~ greater(e_4,X3)
| ~ next(e_4,X1)
| ~ group_element(e_4)
| ~ greater(X4,X2)
| ~ cycle(X3,X4)
| cycle(e_4,e_3)
| ~ cycle(X1,X2)
| equalish(X0,e_4)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f1066,f1006]) ).
fof(f3469,plain,
! [X0,X1] :
( sQ155_spl
| ~ cycle(e_4,X1)
| ~ group_element(e_4)
| ~ cycle(e_4,X0)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| equalish(X1,e_4)
| equalish(X0,e_0) ),
inference(resolution,[status(thm)],[f1066,f987]) ).
fof(f3470,definition,
! [X0] :
( sQ223_spl
<=> ( equalish(X0,e_4)
| ~ cycle(e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f3473,plain,
( sQ155_spl
| sQ156_spl
| ~ sQ153_spl
| sQ152_spl
| sQ212_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f3468,f3470,f2901,f1055,f1058,f1067,f1064]) ).
fof(f3474,plain,
( sQ155_spl
| ~ sQ153_spl
| sQ156_spl
| sQ152_spl
| sQ223_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f3469,f2872,f3470,f1055,f1067,f1058,f1064]) ).
fof(f3485,plain,
( ~ sQ32_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f335,f170]) ).
fof(f3487,plain,
( ~ sQ32_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f335,f148]) ).
fof(f3489,plain,
( ~ sQ32_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f335,f131]) ).
fof(f3492,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_3,e_3,X0)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f335,f122]) ).
fof(f3493,plain,
( ~ sQ32_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f3489,f475,f334]) ).
fof(f3494,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_3,e_3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3492,f170]) ).
fof(f3495,plain,
( ~ sQ32_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f3485,f286,f334]) ).
fof(f3496,plain,
( ~ sQ122_spl
| ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f738,f2445]) ).
fof(f3497,plain,
( ~ sQ122_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f3496]) ).
fof(f3498,plain,
( ~ sQ128_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f2442,f760,f757]) ).
fof(f3499,plain,
( ~ sQ120_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f2604,f779,f731]) ).
fof(f3500,plain,
( ~ sQ129_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f2711,f744,f760]) ).
fof(f3501,plain,
( ~ sQ120_spl
| ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f732,f2445]) ).
fof(f3502,plain,
( ~ sQ120_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f3501]) ).
fof(f3503,plain,
( ~ sQ121_spl
| ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f735,f2445]) ).
fof(f3504,plain,
( ~ sQ121_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f3503]) ).
fof(f3505,plain,
( ~ sQ65_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f466,f138]) ).
fof(f3514,plain,
( ~ sQ21_spl
| ~ sQ25_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f313,f832]) ).
fof(f3521,plain,
( ~ sQ21_spl
| ~ sQ25_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f3514,f750,f312,f299]) ).
fof(f3522,plain,
( ~ sQ130_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f2590,f715,f763]) ).
fof(f3523,plain,
( ~ sQ102_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f2377,f734,f641]) ).
fof(f3524,plain,
( ~ sQ88_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f2012,f715,f597]) ).
fof(f3525,plain,
( ~ sQ43_spl
| ~ sQ57_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f420,f1635]) ).
fof(f3530,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ150_spl
| ~ sQ57_spl
| ~ cycle(X2,X4)
| ~ greater(X1,X4)
| cycle(e_4,e_3)
| equalish(e_3,X3)
| cycle(e_4,e_1)
| ~ group_element(e_4)
| ~ next(e_4,X3)
| cycle(e_4,e_2)
| ~ next(e_4,X2)
| ~ cycle(X0,X1)
| ~ greater(e_4,X0) ),
inference(resolution,[status(thm)],[f420,f1012]) ).
fof(f3531,plain,
! [X0,X1] :
( ~ sQ148_spl
| ~ sQ57_spl
| ~ cycle(e_4,X1)
| ~ next(e_4,X0)
| cycle(e_4,e_2)
| cycle(e_4,e_3)
| equalish(X1,e_0)
| equalish(e_3,X0)
| cycle(e_4,e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[f420,f996]) ).
fof(f3538,definition,
! [X0] :
( sQ224_spl
<=> ( ~ next(e_4,X0)
| equalish(e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f3541,plain,
( ~ sQ148_spl
| ~ sQ57_spl
| sQ156_spl
| sQ152_spl
| sQ206_spl
| sQ224_spl
| sQ155_spl
| ~ sQ153_spl ),
inference(split_clause,[status(thm)],[f3531,f1058,f1064,f3538,f2872,f1055,f1067,f419,f995]) ).
fof(f3542,plain,
( ~ sQ43_spl
| ~ sQ57_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f3525,f776,f419,f375]) ).
fof(f3543,plain,
( ~ sQ150_spl
| ~ sQ57_spl
| sQ152_spl
| sQ155_spl
| ~ sQ153_spl
| sQ224_spl
| sQ156_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f3530,f2901,f1067,f3538,f1058,f1064,f1055,f419,f1011]) ).
fof(f3545,plain,
( ~ sQ31_spl
| ~ sQ25_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f681,f400,f312,f331]) ).
fof(f3546,plain,
( ~ sQ31_spl
| ~ sQ25_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f678,f734,f312,f331]) ).
fof(f3548,plain,
( ~ sQ42_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f3389,f302,f371]) ).
fof(f3549,plain,
( ~ sQ31_spl
| ~ sQ25_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f579,f766,f312,f331]) ).
fof(f3550,plain,
( ~ sQ88_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2011,f274,f597]) ).
fof(f3551,plain,
( ~ sQ42_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f3382,f387,f371]) ).
fof(f3576,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ150_spl
| ~ sQ51_spl
| ~ cycle(X2,X4)
| ~ greater(X1,X4)
| cycle(e_5,e_3)
| equalish(e_2,X3)
| cycle(e_5,e_1)
| ~ group_element(e_5)
| ~ next(e_5,X3)
| cycle(e_5,e_2)
| ~ next(e_5,X2)
| ~ cycle(X0,X1)
| ~ greater(e_5,X0) ),
inference(resolution,[status(thm)],[f401,f1012]) ).
fof(f3577,plain,
! [X0,X1] :
( ~ sQ148_spl
| ~ sQ51_spl
| ~ cycle(e_5,X1)
| ~ next(e_5,X0)
| cycle(e_5,e_2)
| cycle(e_5,e_3)
| equalish(X1,e_0)
| equalish(e_2,X0)
| cycle(e_5,e_1)
| ~ group_element(e_5) ),
inference(resolution,[status(thm)],[f401,f996]) ).
fof(f3583,definition,
! [X0] :
( sQ225_spl
<=> ( ~ next(e_5,X0)
| equalish(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f3586,plain,
( ~ sQ148_spl
| ~ sQ51_spl
| sQ6_spl
| sQ5_spl
| sQ146_spl
| sQ225_spl
| sQ7_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3577,f227,f224,f3583,f988,f218,f221,f400,f995]) ).
fof(f3587,plain,
( ~ sQ150_spl
| ~ sQ51_spl
| sQ5_spl
| sQ7_spl
| ~ sQ8_spl
| sQ225_spl
| sQ6_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f3576,f1007,f221,f3583,f227,f224,f218,f400,f1011]) ).
fof(f3589,plain,
( ~ sQ126_spl
| ~ sQ135_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f780,f2572]) ).
fof(f3590,plain,
( ~ sQ126_spl
| ~ sQ135_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f780,f2571]) ).
fof(f3598,plain,
( ~ sQ126_spl
| ~ sQ135_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f3590,f384,f779,f750]) ).
fof(f3599,plain,
( ~ sQ126_spl
| ~ sQ135_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f3589,f516,f779,f750]) ).
fof(f3600,plain,
( ~ sQ130_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f2596,f322,f763]) ).
fof(f3601,plain,
( ~ sQ100_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f2132,f728,f635]) ).
fof(f3602,plain,
( ~ sQ100_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2134,f419,f635]) ).
fof(f3603,plain,
( ~ sQ80_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f3505]) ).
fof(f3604,plain,
( ~ sQ80_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f3603]) ).
fof(f3627,plain,
( ~ sQ119_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f729,f2399]) ).
fof(f3628,plain,
( ~ sQ119_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f3627]) ).
fof(f3629,plain,
( ~ sQ122_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f738,f2399]) ).
fof(f3630,plain,
( ~ sQ122_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f3629]) ).
fof(f3631,plain,
( ~ sQ118_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f726,f2399]) ).
fof(f3632,plain,
( ~ sQ118_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f3631]) ).
fof(f3633,plain,
( ~ sQ14_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f278,f3494]) ).
fof(f3634,plain,
( ~ sQ14_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f3633]) ).
fof(f3635,plain,
( ~ sQ32_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f3487,f350,f334]) ).
fof(f3636,plain,
( ~ sQ47_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1277,f350,f387]) ).
fof(f3637,plain,
( ~ sQ15_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f281,f3494]) ).
fof(f3638,plain,
( ~ sQ15_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f3637]) ).
fof(f3692,plain,
( ~ sQ47_spl
| ~ sQ51_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f1229,f388]) ).
fof(f3693,plain,
( ~ sQ47_spl
| ~ sQ51_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f3692,f475,f400,f387]) ).
fof(f3714,plain,
( ~ sQ47_spl
| ~ sQ61_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f1215,f388]) ).
fof(f3715,plain,
( ~ sQ47_spl
| ~ sQ61_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f3714,f344,f432,f387]) ).
fof(f3716,plain,
$false,
inference(sat_refutation,[status(thm)],[f185,f209,f230,f232,f239,f241,f248,f250,f257,f259,f266,f268,f289,f305,f321,f337,f353,f374,f390,f406,f422,f438,f474,f490,f506,f522,f538,f567,f587,f591,f612,f628,f644,f660,f676,f724,f740,f756,f772,f788,f790,f800,f809,f824,f843,f868,f932,f949,f951,f967,f971,f975,f979,f983,f994,f998,f1010,f1014,f1070,f1078,f1080,f1087,f1091,f1095,f1100,f1136,f1138,f1140,f1142,f1149,f1162,f1174,f1176,f1180,f1184,f1196,f1198,f1200,f1202,f1206,f1220,f1231,f1238,f1240,f1264,f1287,f1289,f1306,f1308,f1315,f1319,f1323,f1327,f1342,f1344,f1347,f1363,f1379,f1400,f1415,f1438,f1443,f1444,f1446,f1461,f1475,f1476,f1478,f1480,f1481,f1483,f1498,f1499,f1500,f1501,f1503,f1504,f1505,f1518,f1532,f1548,f1550,f1552,f1577,f1578,f1580,f1582,f1600,f1601,f1602,f1615,f1619,f1620,f1622,f1623,f1624,f1626,f1639,f1641,f1642,f1643,f1645,f1659,f1660,f1662,f1663,f1664,f1665,f1666,f1700,f1716,f1732,f1745,f1746,f1747,f1748,f1766,f1777,f1794,f1796,f1797,f1799,f1800,f1801,f1803,f1804,f1805,f1806,f1807,f1809,f1811,f1813,f1814,f1816,f1818,f1819,f1820,f1821,f1822,f1824,f1825,f1826,f1827,f1828,f1830,f1831,f1832,f1840,f1842,f1843,f1844,f1890,f1892,f1914,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1925,f1926,f1927,f1929,f1930,f1934,f1935,f1936,f1937,f1940,f1941,f1943,f1945,f1951,f1956,f1957,f1971,f1974,f1975,f1976,f2009,f2020,f2042,f2045,f2053,f2067,f2093,f2105,f2127,f2139,f2140,f2165,f2166,f2168,f2182,f2194,f2195,f2197,f2210,f2218,f2219,f2220,f2221,f2223,f2224,f2226,f2227,f2228,f2237,f2271,f2273,f2296,f2297,f2300,f2319,f2331,f2332,f2335,f2344,f2349,f2350,f2351,f2382,f2384,f2386,f2388,f2401,f2410,f2411,f2412,f2422,f2466,f2469,f2471,f2472,f2473,f2475,f2491,f2494,f2507,f2510,f2511,f2512,f2513,f2514,f2516,f2517,f2518,f2519,f2520,f2521,f2522,f2523,f2525,f2526,f2527,f2528,f2529,f2530,f2531,f2532,f2533,f2534,f2535,f2536,f2537,f2538,f2539,f2540,f2541,f2542,f2544,f2545,f2546,f2547,f2548,f2549,f2550,f2551,f2552,f2553,f2554,f2555,f2556,f2557,f2558,f2559,f2560,f2561,f2562,f2563,f2564,f2565,f2602,f2620,f2621,f2622,f2624,f2625,f2627,f2629,f2631,f2633,f2635,f2637,f2638,f2639,f2640,f2641,f2642,f2643,f2645,f2647,f2655,f2656,f2657,f2659,f2660,f2661,f2662,f2663,f2664,f2665,f2672,f2674,f2675,f2676,f2678,f2679,f2681,f2683,f2684,f2686,f2718,f2719,f2730,f2752,f2766,f2767,f2769,f2770,f2772,f2774,f2776,f2777,f2778,f2779,f2780,f2781,f2791,f2803,f2805,f2814,f2829,f2838,f2857,f2861,f2868,f2875,f2892,f2896,f2900,f2904,f2914,f2922,f2939,f2941,f2942,f2943,f2944,f2945,f2947,f2948,f2949,f2951,f2952,f2953,f2954,f2955,f2956,f2958,f2960,f2961,f2963,f2964,f2965,f2966,f2967,f2969,f2970,f2971,f2972,f2978,f2980,f2982,f2983,f2984,f2985,f2986,f2987,f2988,f2989,f2990,f2991,f2992,f2993,f2994,f2995,f2996,f2997,f2998,f2999,f3001,f3002,f3003,f3005,f3033,f3034,f3035,f3055,f3056,f3057,f3058,f3059,f3060,f3061,f3062,f3063,f3064,f3065,f3067,f3069,f3070,f3072,f3073,f3074,f3075,f3076,f3077,f3078,f3079,f3080,f3081,f3082,f3083,f3084,f3085,f3086,f3087,f3088,f3089,f3090,f3091,f3092,f3093,f3094,f3095,f3096,f3097,f3098,f3121,f3122,f3132,f3133,f3136,f3138,f3139,f3140,f3142,f3143,f3144,f3170,f3171,f3184,f3189,f3190,f3208,f3210,f3212,f3214,f3235,f3236,f3260,f3271,f3272,f3273,f3274,f3276,f3277,f3278,f3279,f3280,f3281,f3282,f3283,f3284,f3285,f3286,f3287,f3288,f3289,f3290,f3291,f3292,f3293,f3294,f3301,f3302,f3303,f3304,f3306,f3307,f3308,f3309,f3310,f3311,f3312,f3313,f3314,f3315,f3316,f3366,f3367,f3380,f3381,f3396,f3397,f3402,f3403,f3404,f3405,f3407,f3408,f3418,f3419,f3453,f3454,f3456,f3457,f3458,f3459,f3460,f3461,f3462,f3463,f3464,f3465,f3466,f3467,f3473,f3474,f3493,f3495,f3497,f3498,f3499,f3500,f3502,f3504,f3521,f3522,f3523,f3524,f3541,f3542,f3543,f3545,f3546,f3548,f3549,f3550,f3551,f3586,f3587,f3598,f3599,f3600,f3601,f3602,f3604,f3628,f3630,f3632,f3634,f3635,f3636,f3638,f3693,f3715]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP128-3.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n003.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 20 20:02:01 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.46 % Drodi V4.1.1
% 40.23/5.73 % Refutation found
% 40.23/5.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 40.23/5.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 39.82/5.79 % Elapsed time: 5.323032 seconds
% 39.82/5.79 % CPU time: 41.431604 seconds
% 39.82/5.79 % Total memory used: 56.345 MB
% 39.82/5.79 % Net memory used: 50.750 MB
%------------------------------------------------------------------------------