%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP123-7.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:35:43 PM UTC 2026
% Result : Satisfiable 5.68s 1.44s
% Output : Saturation 5.68s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
next(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
greater(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
greater(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,X1] :
( ~ greater(Y,X1)
| ~ next(X,X1)
| ~ product(X,e_1,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X,Y] :
( product1(X,Y,e_5)
| product1(X,Y,e_4)
| product1(X,Y,e_3)
| product1(X,Y,e_2)
| product1(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X] : product1(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [X,Y] :
( product2(X,Y,e_5)
| product2(X,Y,e_4)
| product2(X,Y,e_3)
| product2(X,Y,e_2)
| product2(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [X] : product2(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
! [X,Y,Z1,Z2] :
( product2(Z2,X,Y)
| ~ product1(Z1,Y,Z2)
| ~ product1(X,Y,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,plain,
next(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f53,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
next(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f55,plain,
next(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f56,plain,
greater(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f57,plain,
greater(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f58,plain,
greater(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f59,plain,
greater(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f60,plain,
greater(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f61,plain,
greater(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f62,plain,
greater(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f63,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f64,plain,
greater(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f65,plain,
greater(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f66,plain,
! [Y,X1] :
( ~ greater(Y,X1)
| ! [X] :
( ~ next(X,X1)
| ~ product(X,e_1,Y) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f69,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f70,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f71,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f72,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f73,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f74,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f75,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f76,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f77,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f78,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f79,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f80,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f81,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f82,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f83,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f84,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f85,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f86,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f87,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f88,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f89,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f90,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f91,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f92,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f93,plain,
! [X0,X1] :
( product1(X0,X1,e_5)
| product1(X0,X1,e_4)
| product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f94,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product1(X0,X1,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f96,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f98,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f98]) ).
fof(f100,plain,
! [X0] : product1(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f101,plain,
! [X0,X1] :
( product2(X0,X1,e_5)
| product2(X0,X1,e_4)
| product2(X0,X1,e_3)
| product2(X0,X1,e_2)
| product2(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f102,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f47]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f104,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f48]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product2(X0,X3,X2)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product2(X3,X1,X2)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f108,plain,
! [X0] : product2(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f109,plain,
! [X,Y,Z2] :
( product2(Z2,X,Y)
| ! [Z1] :
( ~ product1(Z1,Y,Z2)
| ~ product1(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f51]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( product2(X3,X0,X1)
| ~ product1(X2,X1,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( product2(X1,X0,X1)
| ~ product1(X0,X1,X1) ),
inference(resolution,[status(thm)],[f100,f110]) ).
fof(f113,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product1(X0,X0,X1) ),
inference(resolution,[status(thm)],[f95,f100]) ).
fof(f114,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f113,f100]) ).
fof(f115,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product1(X0,X1,X0) ),
inference(resolution,[status(thm)],[f97,f100]) ).
fof(f116,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product1(X0,X1,X1) ),
inference(resolution,[status(thm)],[f99,f100]) ).
fof(f117,plain,
! [X0] :
( product1(e_5,X0,e_5)
| product1(e_5,X0,e_4)
| product1(e_5,X0,e_3)
| product1(e_5,X0,e_2)
| product1(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f93,f72]) ).
fof(f118,plain,
! [X0] :
( product1(e_4,X0,e_5)
| product1(e_4,X0,e_4)
| product1(e_4,X0,e_3)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f93,f71]) ).
fof(f119,plain,
! [X0] :
( product1(e_3,X0,e_5)
| product1(e_3,X0,e_4)
| product1(e_3,X0,e_3)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f93,f70]) ).
fof(f120,plain,
! [X0] :
( product1(e_2,X0,e_5)
| product1(e_2,X0,e_4)
| product1(e_2,X0,e_3)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f93,f69]) ).
fof(f121,plain,
! [X0] :
( product1(e_1,X0,e_5)
| product1(e_1,X0,e_4)
| product1(e_1,X0,e_3)
| product1(e_1,X0,e_2)
| product1(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f93,f68]) ).
fof(f122,plain,
! [X0] :
( product2(e_5,X0,e_5)
| product2(e_5,X0,e_4)
| product2(e_5,X0,e_3)
| product2(e_5,X0,e_2)
| product2(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f101,f72]) ).
fof(f123,plain,
! [X0] :
( product2(e_4,X0,e_5)
| product2(e_4,X0,e_4)
| product2(e_4,X0,e_3)
| product2(e_4,X0,e_2)
| product2(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f101,f71]) ).
fof(f124,plain,
! [X0] :
( product2(e_3,X0,e_5)
| product2(e_3,X0,e_4)
| product2(e_3,X0,e_3)
| product2(e_3,X0,e_2)
| product2(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f101,f70]) ).
fof(f125,plain,
! [X0] :
( product2(e_2,X0,e_5)
| product2(e_2,X0,e_4)
| product2(e_2,X0,e_3)
| product2(e_2,X0,e_2)
| product2(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f101,f69]) ).
fof(f126,plain,
! [X0] :
( product2(e_1,X0,e_5)
| product2(e_1,X0,e_4)
| product2(e_1,X0,e_3)
| product2(e_1,X0,e_2)
| product2(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f101,f68]) ).
fof(f127,plain,
( product1(e_5,e_5,e_5)
| product1(e_5,e_5,e_4)
| product1(e_5,e_5,e_3)
| product1(e_5,e_5,e_2)
| product1(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f117,f72]) ).
fof(f128,plain,
( product1(e_5,e_4,e_5)
| product1(e_5,e_4,e_4)
| product1(e_5,e_4,e_3)
| product1(e_5,e_4,e_2)
| product1(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f117,f71]) ).
fof(f129,plain,
( product1(e_5,e_3,e_5)
| product1(e_5,e_3,e_4)
| product1(e_5,e_3,e_3)
| product1(e_5,e_3,e_2)
| product1(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f117,f70]) ).
fof(f130,plain,
( product1(e_5,e_2,e_5)
| product1(e_5,e_2,e_4)
| product1(e_5,e_2,e_3)
| product1(e_5,e_2,e_2)
| product1(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f117,f69]) ).
fof(f131,plain,
( product1(e_5,e_1,e_5)
| product1(e_5,e_1,e_4)
| product1(e_5,e_1,e_3)
| product1(e_5,e_1,e_2)
| product1(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f117,f68]) ).
fof(f132,definition,
( sQ0_spl
<=> product1(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( ~ sQ0_spl
| product1(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f134,plain,
( sQ0_spl
| ~ product1(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,definition,
( sQ1_spl
<=> product1(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ1_spl
| product1(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f137,plain,
( sQ1_spl
| ~ product1(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,definition,
( sQ2_spl
<=> product1(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( ~ sQ2_spl
| product1(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f140,plain,
( sQ2_spl
| ~ product1(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,definition,
( sQ3_spl
<=> product1(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ3_spl
| product1(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f143,plain,
( sQ3_spl
| ~ product1(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,definition,
( sQ4_spl
<=> product1(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f127,f132,f135,f138,f141,f144]) ).
fof(f148,definition,
( sQ5_spl
<=> product1(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( ~ sQ5_spl
| product1(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f150,plain,
( sQ5_spl
| ~ product1(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,definition,
( sQ6_spl
<=> product1(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( ~ sQ6_spl
| product1(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f153,plain,
( sQ6_spl
| ~ product1(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,definition,
( sQ7_spl
<=> product1(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( ~ sQ7_spl
| product1(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f156,plain,
( sQ7_spl
| ~ product1(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,definition,
( sQ8_spl
<=> product1(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ8_spl
| product1(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f159,plain,
( sQ8_spl
| ~ product1(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,definition,
( sQ9_spl
<=> product1(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( ~ sQ9_spl
| product1(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f162,plain,
( sQ9_spl
| ~ product1(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f128,f148,f151,f154,f157,f160]) ).
fof(f164,definition,
( sQ10_spl
<=> product1(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ10_spl
| product1(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f166,plain,
( sQ10_spl
| ~ product1(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,definition,
( sQ11_spl
<=> product1(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( ~ sQ11_spl
| product1(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f169,plain,
( sQ11_spl
| ~ product1(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,definition,
( sQ12_spl
<=> product1(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ12_spl
| product1(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f172,plain,
( sQ12_spl
| ~ product1(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,definition,
( sQ13_spl
<=> product1(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( ~ sQ13_spl
| product1(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f175,plain,
( sQ13_spl
| ~ product1(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,definition,
( sQ14_spl
<=> product1(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ14_spl
| product1(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f178,plain,
( sQ14_spl
| ~ product1(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f129,f164,f167,f170,f173,f176]) ).
fof(f180,definition,
( sQ15_spl
<=> product1(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ15_spl
| product1(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f182,plain,
( sQ15_spl
| ~ product1(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,definition,
( sQ16_spl
<=> product1(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( ~ sQ16_spl
| product1(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f185,plain,
( sQ16_spl
| ~ product1(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,definition,
( sQ17_spl
<=> product1(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ17_spl
| product1(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f188,plain,
( sQ17_spl
| ~ product1(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,definition,
( sQ18_spl
<=> product1(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( ~ sQ18_spl
| product1(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f191,plain,
( sQ18_spl
| ~ product1(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,definition,
( sQ19_spl
<=> product1(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ19_spl
| product1(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f194,plain,
( sQ19_spl
| ~ product1(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f130,f180,f183,f186,f189,f192]) ).
fof(f196,definition,
( sQ20_spl
<=> product1(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ20_spl
| product1(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f198,plain,
( sQ20_spl
| ~ product1(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
( sQ21_spl
<=> product1(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ21_spl
| product1(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f201,plain,
( sQ21_spl
| ~ product1(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,definition,
( sQ22_spl
<=> product1(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ22_spl
| product1(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f204,plain,
( sQ22_spl
| ~ product1(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,definition,
( sQ23_spl
<=> product1(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ23_spl
| product1(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f207,plain,
( sQ23_spl
| ~ product1(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,definition,
( sQ24_spl
<=> product1(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ24_spl
| product1(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f210,plain,
( sQ24_spl
| ~ product1(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f131,f196,f199,f202,f205,f208]) ).
fof(f212,plain,
( product1(e_4,e_5,e_5)
| product1(e_4,e_5,e_4)
| product1(e_4,e_5,e_3)
| product1(e_4,e_5,e_2)
| product1(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f118,f72]) ).
fof(f213,plain,
( product1(e_4,e_4,e_5)
| product1(e_4,e_4,e_4)
| product1(e_4,e_4,e_3)
| product1(e_4,e_4,e_2)
| product1(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f118,f71]) ).
fof(f214,plain,
( product1(e_4,e_3,e_5)
| product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f118,f70]) ).
fof(f215,plain,
( product1(e_4,e_2,e_5)
| product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f118,f69]) ).
fof(f216,plain,
( product1(e_4,e_1,e_5)
| product1(e_4,e_1,e_4)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f118,f68]) ).
fof(f217,definition,
( sQ25_spl
<=> product1(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ25_spl
| product1(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f219,plain,
( sQ25_spl
| ~ product1(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,definition,
( sQ26_spl
<=> product1(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( ~ sQ26_spl
| product1(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f222,plain,
( sQ26_spl
| ~ product1(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,definition,
( sQ27_spl
<=> product1(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( ~ sQ27_spl
| product1(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f225,plain,
( sQ27_spl
| ~ product1(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,definition,
( sQ28_spl
<=> product1(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ28_spl
| product1(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f228,plain,
( sQ28_spl
| ~ product1(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ29_spl
<=> product1(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ29_spl
| product1(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f231,plain,
( sQ29_spl
| ~ product1(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f212,f217,f220,f223,f226,f229]) ).
fof(f233,definition,
( sQ30_spl
<=> product1(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ30_spl
| product1(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f235,plain,
( sQ30_spl
| ~ product1(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,definition,
( sQ31_spl
<=> product1(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ31_spl
| product1(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f238,plain,
( sQ31_spl
| ~ product1(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,definition,
( sQ32_spl
<=> product1(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ32_spl
| product1(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f241,plain,
( sQ32_spl
| ~ product1(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,definition,
( sQ33_spl
<=> product1(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f245,definition,
( sQ34_spl
<=> product1(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ34_spl
| product1(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f247,plain,
( sQ34_spl
| ~ product1(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f213,f233,f236,f239,f242,f245]) ).
fof(f249,definition,
( sQ35_spl
<=> product1(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ35_spl
| product1(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f251,plain,
( sQ35_spl
| ~ product1(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ36_spl
<=> product1(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ36_spl
| product1(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f254,plain,
( sQ36_spl
| ~ product1(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,definition,
( sQ37_spl
<=> product1(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ37_spl
| product1(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f257,plain,
( sQ37_spl
| ~ product1(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
( sQ38_spl
<=> product1(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ38_spl
| product1(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f260,plain,
( sQ38_spl
| ~ product1(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,definition,
( sQ39_spl
<=> product1(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( ~ sQ39_spl
| product1(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f263,plain,
( sQ39_spl
| ~ product1(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f214,f249,f252,f255,f258,f261]) ).
fof(f265,definition,
( sQ40_spl
<=> product1(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ40_spl
| product1(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f267,plain,
( sQ40_spl
| ~ product1(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,definition,
( sQ41_spl
<=> product1(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ41_spl
| product1(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f270,plain,
( sQ41_spl
| ~ product1(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,definition,
( sQ42_spl
<=> product1(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ42_spl
| product1(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f273,plain,
( sQ42_spl
| ~ product1(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,definition,
( sQ43_spl
<=> product1(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( ~ sQ43_spl
| product1(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f276,plain,
( sQ43_spl
| ~ product1(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,definition,
( sQ44_spl
<=> product1(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( ~ sQ44_spl
| product1(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f279,plain,
( sQ44_spl
| ~ product1(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f215,f265,f268,f271,f274,f277]) ).
fof(f281,definition,
( sQ45_spl
<=> product1(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ45_spl
| product1(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f283,plain,
( sQ45_spl
| ~ product1(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,definition,
( sQ46_spl
<=> product1(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ46_spl
| product1(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f286,plain,
( sQ46_spl
| ~ product1(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,definition,
( sQ47_spl
<=> product1(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( ~ sQ47_spl
| product1(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f289,plain,
( sQ47_spl
| ~ product1(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,definition,
( sQ48_spl
<=> product1(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( ~ sQ48_spl
| product1(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f292,plain,
( sQ48_spl
| ~ product1(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,definition,
( sQ49_spl
<=> product1(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( ~ sQ49_spl
| product1(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f295,plain,
( sQ49_spl
| ~ product1(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f296,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f216,f281,f284,f287,f290,f293]) ).
fof(f297,plain,
( product1(e_3,e_5,e_5)
| product1(e_3,e_5,e_4)
| product1(e_3,e_5,e_3)
| product1(e_3,e_5,e_2)
| product1(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f119,f72]) ).
fof(f298,plain,
( product1(e_3,e_4,e_5)
| product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f119,f71]) ).
fof(f299,plain,
( product1(e_3,e_3,e_5)
| product1(e_3,e_3,e_4)
| product1(e_3,e_3,e_3)
| product1(e_3,e_3,e_2)
| product1(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f119,f70]) ).
fof(f300,plain,
( product1(e_3,e_2,e_5)
| product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f119,f69]) ).
fof(f301,plain,
( product1(e_3,e_1,e_5)
| product1(e_3,e_1,e_4)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f119,f68]) ).
fof(f302,definition,
( sQ50_spl
<=> product1(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ50_spl
| product1(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( sQ50_spl
| ~ product1(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,definition,
( sQ51_spl
<=> product1(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ51_spl
| product1(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f307,plain,
( sQ51_spl
| ~ product1(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,definition,
( sQ52_spl
<=> product1(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ52_spl
| product1(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sQ52_spl
| ~ product1(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,definition,
( sQ53_spl
<=> product1(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ53_spl
| product1(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f313,plain,
( sQ53_spl
| ~ product1(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,definition,
( sQ54_spl
<=> product1(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ54_spl
| product1(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f316,plain,
( sQ54_spl
| ~ product1(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f297,f302,f305,f308,f311,f314]) ).
fof(f318,definition,
( sQ55_spl
<=> product1(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ55_spl
| product1(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f320,plain,
( sQ55_spl
| ~ product1(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,definition,
( sQ56_spl
<=> product1(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ56_spl
| product1(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f323,plain,
( sQ56_spl
| ~ product1(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,definition,
( sQ57_spl
<=> product1(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ57_spl
| product1(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f326,plain,
( sQ57_spl
| ~ product1(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,definition,
( sQ58_spl
<=> product1(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ58_spl
| product1(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f329,plain,
( sQ58_spl
| ~ product1(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ59_spl
<=> product1(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ59_spl
| product1(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f332,plain,
( sQ59_spl
| ~ product1(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f298,f318,f321,f324,f327,f330]) ).
fof(f334,definition,
( sQ60_spl
<=> product1(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ60_spl
| product1(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f336,plain,
( sQ60_spl
| ~ product1(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,definition,
( sQ61_spl
<=> product1(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( ~ sQ61_spl
| product1(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f339,plain,
( sQ61_spl
| ~ product1(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,definition,
( sQ62_spl
<=> product1(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f343,definition,
( sQ63_spl
<=> product1(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ63_spl
| product1(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f345,plain,
( sQ63_spl
| ~ product1(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,definition,
( sQ64_spl
<=> product1(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ64_spl
| product1(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f348,plain,
( sQ64_spl
| ~ product1(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f299,f334,f337,f340,f343,f346]) ).
fof(f350,definition,
( sQ65_spl
<=> product1(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( ~ sQ65_spl
| product1(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f352,plain,
( sQ65_spl
| ~ product1(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,definition,
( sQ66_spl
<=> product1(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( ~ sQ66_spl
| product1(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f355,plain,
( sQ66_spl
| ~ product1(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,definition,
( sQ67_spl
<=> product1(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ67_spl
| product1(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f358,plain,
( sQ67_spl
| ~ product1(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,definition,
( sQ68_spl
<=> product1(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ68_spl
| product1(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f361,plain,
( sQ68_spl
| ~ product1(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ69_spl
<=> product1(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ69_spl
| product1(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f364,plain,
( sQ69_spl
| ~ product1(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f300,f350,f353,f356,f359,f362]) ).
fof(f366,definition,
( sQ70_spl
<=> product1(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ70_spl
| product1(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f368,plain,
( sQ70_spl
| ~ product1(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
( sQ71_spl
<=> product1(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ71_spl
| product1(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f371,plain,
( sQ71_spl
| ~ product1(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,definition,
( sQ72_spl
<=> product1(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ72_spl
| product1(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f374,plain,
( sQ72_spl
| ~ product1(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,definition,
( sQ73_spl
<=> product1(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ73_spl
| product1(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f377,plain,
( sQ73_spl
| ~ product1(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,definition,
( sQ74_spl
<=> product1(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( ~ sQ74_spl
| product1(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f380,plain,
( sQ74_spl
| ~ product1(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f301,f366,f369,f372,f375,f378]) ).
fof(f382,plain,
( product1(e_2,e_5,e_5)
| product1(e_2,e_5,e_4)
| product1(e_2,e_5,e_3)
| product1(e_2,e_5,e_2)
| product1(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f120,f72]) ).
fof(f383,plain,
( product1(e_2,e_4,e_5)
| product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f120,f71]) ).
fof(f384,plain,
( product1(e_2,e_3,e_5)
| product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f120,f70]) ).
fof(f385,plain,
( product1(e_2,e_2,e_5)
| product1(e_2,e_2,e_4)
| product1(e_2,e_2,e_3)
| product1(e_2,e_2,e_2)
| product1(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f120,f69]) ).
fof(f386,plain,
( product1(e_2,e_1,e_5)
| product1(e_2,e_1,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f120,f68]) ).
fof(f387,definition,
( sQ75_spl
<=> product1(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( ~ sQ75_spl
| product1(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f389,plain,
( sQ75_spl
| ~ product1(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,definition,
( sQ76_spl
<=> product1(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f391,plain,
( ~ sQ76_spl
| product1(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f392,plain,
( sQ76_spl
| ~ product1(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,definition,
( sQ77_spl
<=> product1(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( ~ sQ77_spl
| product1(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f395,plain,
( sQ77_spl
| ~ product1(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,definition,
( sQ78_spl
<=> product1(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ78_spl
| product1(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f398,plain,
( sQ78_spl
| ~ product1(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,definition,
( sQ79_spl
<=> product1(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( ~ sQ79_spl
| product1(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f401,plain,
( sQ79_spl
| ~ product1(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f382,f387,f390,f393,f396,f399]) ).
fof(f403,definition,
( sQ80_spl
<=> product1(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( ~ sQ80_spl
| product1(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f405,plain,
( sQ80_spl
| ~ product1(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,definition,
( sQ81_spl
<=> product1(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( ~ sQ81_spl
| product1(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f408,plain,
( sQ81_spl
| ~ product1(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,definition,
( sQ82_spl
<=> product1(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( ~ sQ82_spl
| product1(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f411,plain,
( sQ82_spl
| ~ product1(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,definition,
( sQ83_spl
<=> product1(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ83_spl
| product1(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f414,plain,
( sQ83_spl
| ~ product1(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,definition,
( sQ84_spl
<=> product1(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( ~ sQ84_spl
| product1(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f417,plain,
( sQ84_spl
| ~ product1(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f383,f403,f406,f409,f412,f415]) ).
fof(f419,definition,
( sQ85_spl
<=> product1(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( ~ sQ85_spl
| product1(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f421,plain,
( sQ85_spl
| ~ product1(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,definition,
( sQ86_spl
<=> product1(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( ~ sQ86_spl
| product1(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f424,plain,
( sQ86_spl
| ~ product1(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,definition,
( sQ87_spl
<=> product1(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( ~ sQ87_spl
| product1(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f427,plain,
( sQ87_spl
| ~ product1(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,definition,
( sQ88_spl
<=> product1(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( ~ sQ88_spl
| product1(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f430,plain,
( sQ88_spl
| ~ product1(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,definition,
( sQ89_spl
<=> product1(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ89_spl
| product1(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f433,plain,
( sQ89_spl
| ~ product1(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f384,f419,f422,f425,f428,f431]) ).
fof(f435,definition,
( sQ90_spl
<=> product1(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( ~ sQ90_spl
| product1(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f437,plain,
( sQ90_spl
| ~ product1(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,definition,
( sQ91_spl
<=> product1(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f441,definition,
( sQ92_spl
<=> product1(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( ~ sQ92_spl
| product1(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f443,plain,
( sQ92_spl
| ~ product1(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,definition,
( sQ93_spl
<=> product1(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( ~ sQ93_spl
| product1(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f446,plain,
( sQ93_spl
| ~ product1(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ94_spl
<=> product1(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ94_spl
| product1(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f449,plain,
( sQ94_spl
| ~ product1(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f385,f435,f438,f441,f444,f447]) ).
fof(f451,definition,
( sQ95_spl
<=> product1(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ95_spl
| product1(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f453,plain,
( sQ95_spl
| ~ product1(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,definition,
( sQ96_spl
<=> product1(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ96_spl
| product1(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f456,plain,
( sQ96_spl
| ~ product1(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,definition,
( sQ97_spl
<=> product1(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ97_spl
| product1(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f459,plain,
( sQ97_spl
| ~ product1(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,definition,
( sQ98_spl
<=> product1(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( ~ sQ98_spl
| product1(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f462,plain,
( sQ98_spl
| ~ product1(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,definition,
( sQ99_spl
<=> product1(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ99_spl
| product1(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f465,plain,
( sQ99_spl
| ~ product1(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f386,f451,f454,f457,f460,f463]) ).
fof(f467,plain,
( product1(e_1,e_5,e_5)
| product1(e_1,e_5,e_4)
| product1(e_1,e_5,e_3)
| product1(e_1,e_5,e_2)
| product1(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f121,f72]) ).
fof(f468,plain,
( product1(e_1,e_4,e_5)
| product1(e_1,e_4,e_4)
| product1(e_1,e_4,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f121,f71]) ).
fof(f469,plain,
( product1(e_1,e_3,e_5)
| product1(e_1,e_3,e_4)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f121,f70]) ).
fof(f470,plain,
( product1(e_1,e_2,e_5)
| product1(e_1,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f121,f69]) ).
fof(f471,plain,
( product1(e_1,e_1,e_5)
| product1(e_1,e_1,e_4)
| product1(e_1,e_1,e_3)
| product1(e_1,e_1,e_2)
| product1(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f121,f68]) ).
fof(f472,definition,
( sQ100_spl
<=> product1(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( ~ sQ100_spl
| product1(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f474,plain,
( sQ100_spl
| ~ product1(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,definition,
( sQ101_spl
<=> product1(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( ~ sQ101_spl
| product1(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f477,plain,
( sQ101_spl
| ~ product1(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,definition,
( sQ102_spl
<=> product1(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( ~ sQ102_spl
| product1(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f480,plain,
( sQ102_spl
| ~ product1(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,definition,
( sQ103_spl
<=> product1(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ103_spl
| product1(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f483,plain,
( sQ103_spl
| ~ product1(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,definition,
( sQ104_spl
<=> product1(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ104_spl
| product1(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f486,plain,
( sQ104_spl
| ~ product1(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f467,f472,f475,f478,f481,f484]) ).
fof(f488,definition,
( sQ105_spl
<=> product1(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ105_spl
| product1(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f490,plain,
( sQ105_spl
| ~ product1(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,definition,
( sQ106_spl
<=> product1(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( ~ sQ106_spl
| product1(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f493,plain,
( sQ106_spl
| ~ product1(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
( sQ107_spl
<=> product1(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( ~ sQ107_spl
| product1(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f496,plain,
( sQ107_spl
| ~ product1(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,definition,
( sQ108_spl
<=> product1(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ108_spl
| product1(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f499,plain,
( sQ108_spl
| ~ product1(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,definition,
( sQ109_spl
<=> product1(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ109_spl
| product1(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f502,plain,
( sQ109_spl
| ~ product1(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f468,f488,f491,f494,f497,f500]) ).
fof(f504,definition,
( sQ110_spl
<=> product1(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( ~ sQ110_spl
| product1(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f506,plain,
( sQ110_spl
| ~ product1(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,definition,
( sQ111_spl
<=> product1(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( ~ sQ111_spl
| product1(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f509,plain,
( sQ111_spl
| ~ product1(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,definition,
( sQ112_spl
<=> product1(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( ~ sQ112_spl
| product1(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f512,plain,
( sQ112_spl
| ~ product1(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,definition,
( sQ113_spl
<=> product1(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ113_spl
| product1(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f515,plain,
( sQ113_spl
| ~ product1(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,definition,
( sQ114_spl
<=> product1(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( ~ sQ114_spl
| product1(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f518,plain,
( sQ114_spl
| ~ product1(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f469,f504,f507,f510,f513,f516]) ).
fof(f520,definition,
( sQ115_spl
<=> product1(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( ~ sQ115_spl
| product1(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f522,plain,
( sQ115_spl
| ~ product1(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,definition,
( sQ116_spl
<=> product1(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ116_spl
| product1(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f525,plain,
( sQ116_spl
| ~ product1(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ117_spl
<=> product1(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ117_spl
| product1(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f528,plain,
( sQ117_spl
| ~ product1(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,definition,
( sQ118_spl
<=> product1(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ118_spl
| product1(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f531,plain,
( sQ118_spl
| ~ product1(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,definition,
( sQ119_spl
<=> product1(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ119_spl
| product1(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f534,plain,
( sQ119_spl
| ~ product1(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f470,f520,f523,f526,f529,f532]) ).
fof(f536,definition,
( sQ120_spl
<=> product1(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f539,definition,
( sQ121_spl
<=> product1(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ121_spl
| product1(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f541,plain,
( sQ121_spl
| ~ product1(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,definition,
( sQ122_spl
<=> product1(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ122_spl
| product1(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f544,plain,
( sQ122_spl
| ~ product1(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,definition,
( sQ123_spl
<=> product1(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f546,plain,
( ~ sQ123_spl
| product1(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f547,plain,
( sQ123_spl
| ~ product1(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,definition,
( sQ124_spl
<=> product1(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f549,plain,
( ~ sQ124_spl
| product1(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f550,plain,
( sQ124_spl
| ~ product1(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f471,f536,f539,f542,f545,f548]) ).
fof(f552,plain,
( product2(e_5,e_5,e_5)
| product2(e_5,e_5,e_4)
| product2(e_5,e_5,e_3)
| product2(e_5,e_5,e_2)
| product2(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f122,f72]) ).
fof(f553,plain,
( product2(e_5,e_4,e_5)
| product2(e_5,e_4,e_4)
| product2(e_5,e_4,e_3)
| product2(e_5,e_4,e_2)
| product2(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f122,f71]) ).
fof(f554,plain,
( product2(e_5,e_3,e_5)
| product2(e_5,e_3,e_4)
| product2(e_5,e_3,e_3)
| product2(e_5,e_3,e_2)
| product2(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f122,f70]) ).
fof(f555,plain,
( product2(e_5,e_2,e_5)
| product2(e_5,e_2,e_4)
| product2(e_5,e_2,e_3)
| product2(e_5,e_2,e_2)
| product2(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f122,f69]) ).
fof(f556,plain,
( product2(e_5,e_1,e_5)
| product2(e_5,e_1,e_4)
| product2(e_5,e_1,e_3)
| product2(e_5,e_1,e_2)
| product2(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f122,f68]) ).
fof(f557,definition,
( sQ125_spl
<=> product2(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f558,plain,
( ~ sQ125_spl
| product2(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f559,plain,
( sQ125_spl
| ~ product2(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f560,definition,
( sQ126_spl
<=> product2(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( ~ sQ126_spl
| product2(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f562,plain,
( sQ126_spl
| ~ product2(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,definition,
( sQ127_spl
<=> product2(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f564,plain,
( ~ sQ127_spl
| product2(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f565,plain,
( sQ127_spl
| ~ product2(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f566,definition,
( sQ128_spl
<=> product2(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( ~ sQ128_spl
| product2(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f568,plain,
( sQ128_spl
| ~ product2(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,definition,
( sQ129_spl
<=> product2(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f552,f557,f560,f563,f566,f569]) ).
fof(f573,definition,
( sQ130_spl
<=> product2(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( ~ sQ130_spl
| product2(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f575,plain,
( sQ130_spl
| ~ product2(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,definition,
( sQ131_spl
<=> product2(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( ~ sQ131_spl
| product2(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f578,plain,
( sQ131_spl
| ~ product2(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,definition,
( sQ132_spl
<=> product2(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f580,plain,
( ~ sQ132_spl
| product2(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f581,plain,
( sQ132_spl
| ~ product2(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,definition,
( sQ133_spl
<=> product2(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f583,plain,
( ~ sQ133_spl
| product2(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f584,plain,
( sQ133_spl
| ~ product2(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,definition,
( sQ134_spl
<=> product2(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( ~ sQ134_spl
| product2(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f587,plain,
( sQ134_spl
| ~ product2(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,plain,
( sQ134_spl
| sQ133_spl
| sQ132_spl
| sQ131_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f553,f573,f576,f579,f582,f585]) ).
fof(f589,definition,
( sQ135_spl
<=> product2(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( ~ sQ135_spl
| product2(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f591,plain,
( sQ135_spl
| ~ product2(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,definition,
( sQ136_spl
<=> product2(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f593,plain,
( ~ sQ136_spl
| product2(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f594,plain,
( sQ136_spl
| ~ product2(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,definition,
( sQ137_spl
<=> product2(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f596,plain,
( ~ sQ137_spl
| product2(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f597,plain,
( sQ137_spl
| ~ product2(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,definition,
( sQ138_spl
<=> product2(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f599,plain,
( ~ sQ138_spl
| product2(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f600,plain,
( sQ138_spl
| ~ product2(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,definition,
( sQ139_spl
<=> product2(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ139_spl
| product2(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f603,plain,
( sQ139_spl
| ~ product2(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,plain,
( sQ139_spl
| sQ138_spl
| sQ137_spl
| sQ136_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f554,f589,f592,f595,f598,f601]) ).
fof(f605,definition,
( sQ140_spl
<=> product2(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f606,plain,
( ~ sQ140_spl
| product2(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f607,plain,
( sQ140_spl
| ~ product2(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f605]) ).
fof(f608,definition,
( sQ141_spl
<=> product2(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f609,plain,
( ~ sQ141_spl
| product2(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f610,plain,
( sQ141_spl
| ~ product2(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,definition,
( sQ142_spl
<=> product2(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ142_spl
| product2(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f613,plain,
( sQ142_spl
| ~ product2(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,definition,
( sQ143_spl
<=> product2(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ143_spl
| product2(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f616,plain,
( sQ143_spl
| ~ product2(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,definition,
( sQ144_spl
<=> product2(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f618,plain,
( ~ sQ144_spl
| product2(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f619,plain,
( sQ144_spl
| ~ product2(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,plain,
( sQ144_spl
| sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f555,f605,f608,f611,f614,f617]) ).
fof(f621,definition,
( sQ145_spl
<=> product2(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( ~ sQ145_spl
| product2(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f623,plain,
( sQ145_spl
| ~ product2(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,definition,
( sQ146_spl
<=> product2(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f625,plain,
( ~ sQ146_spl
| product2(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f626,plain,
( sQ146_spl
| ~ product2(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,definition,
( sQ147_spl
<=> product2(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( ~ sQ147_spl
| product2(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f629,plain,
( sQ147_spl
| ~ product2(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,definition,
( sQ148_spl
<=> product2(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( ~ sQ148_spl
| product2(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f632,plain,
( sQ148_spl
| ~ product2(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,definition,
( sQ149_spl
<=> product2(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( ~ sQ149_spl
| product2(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f635,plain,
( sQ149_spl
| ~ product2(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,plain,
( sQ149_spl
| sQ148_spl
| sQ147_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f556,f621,f624,f627,f630,f633]) ).
fof(f637,plain,
( product2(e_4,e_5,e_5)
| product2(e_4,e_5,e_4)
| product2(e_4,e_5,e_3)
| product2(e_4,e_5,e_2)
| product2(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f123,f72]) ).
fof(f638,plain,
( product2(e_4,e_4,e_5)
| product2(e_4,e_4,e_4)
| product2(e_4,e_4,e_3)
| product2(e_4,e_4,e_2)
| product2(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f123,f71]) ).
fof(f639,plain,
( product2(e_4,e_3,e_5)
| product2(e_4,e_3,e_4)
| product2(e_4,e_3,e_3)
| product2(e_4,e_3,e_2)
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f123,f70]) ).
fof(f640,plain,
( product2(e_4,e_2,e_5)
| product2(e_4,e_2,e_4)
| product2(e_4,e_2,e_3)
| product2(e_4,e_2,e_2)
| product2(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f123,f69]) ).
fof(f641,plain,
( product2(e_4,e_1,e_5)
| product2(e_4,e_1,e_4)
| product2(e_4,e_1,e_3)
| product2(e_4,e_1,e_2)
| product2(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f123,f68]) ).
fof(f642,definition,
( sQ150_spl
<=> product2(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( ~ sQ150_spl
| product2(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f644,plain,
( sQ150_spl
| ~ product2(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,definition,
( sQ151_spl
<=> product2(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f646,plain,
( ~ sQ151_spl
| product2(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f647,plain,
( sQ151_spl
| ~ product2(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,definition,
( sQ152_spl
<=> product2(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( ~ sQ152_spl
| product2(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f650,plain,
( sQ152_spl
| ~ product2(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,definition,
( sQ153_spl
<=> product2(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f652,plain,
( ~ sQ153_spl
| product2(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f653,plain,
( sQ153_spl
| ~ product2(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,definition,
( sQ154_spl
<=> product2(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f655,plain,
( ~ sQ154_spl
| product2(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f656,plain,
( sQ154_spl
| ~ product2(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,plain,
( sQ154_spl
| sQ153_spl
| sQ152_spl
| sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f637,f642,f645,f648,f651,f654]) ).
fof(f658,definition,
( sQ155_spl
<=> product2(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f659,plain,
( ~ sQ155_spl
| product2(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f660,plain,
( sQ155_spl
| ~ product2(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,definition,
( sQ156_spl
<=> product2(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f662,plain,
( ~ sQ156_spl
| product2(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f663,plain,
( sQ156_spl
| ~ product2(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,definition,
( sQ157_spl
<=> product2(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ157_spl
| product2(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f666,plain,
( sQ157_spl
| ~ product2(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,definition,
( sQ158_spl
<=> product2(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f670,definition,
( sQ159_spl
<=> product2(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f671,plain,
( ~ sQ159_spl
| product2(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f672,plain,
( sQ159_spl
| ~ product2(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,plain,
( sQ159_spl
| sQ158_spl
| sQ157_spl
| sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f638,f658,f661,f664,f667,f670]) ).
fof(f674,definition,
( sQ160_spl
<=> product2(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( ~ sQ160_spl
| product2(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f676,plain,
( sQ160_spl
| ~ product2(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,definition,
( sQ161_spl
<=> product2(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( ~ sQ161_spl
| product2(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f679,plain,
( sQ161_spl
| ~ product2(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,definition,
( sQ162_spl
<=> product2(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( ~ sQ162_spl
| product2(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f682,plain,
( sQ162_spl
| ~ product2(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,definition,
( sQ163_spl
<=> product2(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ163_spl
| product2(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f685,plain,
( sQ163_spl
| ~ product2(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,definition,
( sQ164_spl
<=> product2(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f687,plain,
( ~ sQ164_spl
| product2(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f688,plain,
( sQ164_spl
| ~ product2(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,plain,
( sQ164_spl
| sQ163_spl
| sQ162_spl
| sQ161_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f639,f674,f677,f680,f683,f686]) ).
fof(f690,definition,
( sQ165_spl
<=> product2(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( ~ sQ165_spl
| product2(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f692,plain,
( sQ165_spl
| ~ product2(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,definition,
( sQ166_spl
<=> product2(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( ~ sQ166_spl
| product2(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f695,plain,
( sQ166_spl
| ~ product2(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,definition,
( sQ167_spl
<=> product2(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f697,plain,
( ~ sQ167_spl
| product2(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f698,plain,
( sQ167_spl
| ~ product2(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f699,definition,
( sQ168_spl
<=> product2(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f700,plain,
( ~ sQ168_spl
| product2(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f701,plain,
( sQ168_spl
| ~ product2(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f702,definition,
( sQ169_spl
<=> product2(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f703,plain,
( ~ sQ169_spl
| product2(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f704,plain,
( sQ169_spl
| ~ product2(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,plain,
( sQ169_spl
| sQ168_spl
| sQ167_spl
| sQ166_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f640,f690,f693,f696,f699,f702]) ).
fof(f706,definition,
( sQ170_spl
<=> product2(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f707,plain,
( ~ sQ170_spl
| product2(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f708,plain,
( sQ170_spl
| ~ product2(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,definition,
( sQ171_spl
<=> product2(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( ~ sQ171_spl
| product2(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f711,plain,
( sQ171_spl
| ~ product2(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,definition,
( sQ172_spl
<=> product2(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( ~ sQ172_spl
| product2(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f714,plain,
( sQ172_spl
| ~ product2(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,definition,
( sQ173_spl
<=> product2(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f716,plain,
( ~ sQ173_spl
| product2(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f717,plain,
( sQ173_spl
| ~ product2(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,definition,
( sQ174_spl
<=> product2(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( ~ sQ174_spl
| product2(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f720,plain,
( sQ174_spl
| ~ product2(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,plain,
( sQ174_spl
| sQ173_spl
| sQ172_spl
| sQ171_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f641,f706,f709,f712,f715,f718]) ).
fof(f722,plain,
( product2(e_3,e_5,e_5)
| product2(e_3,e_5,e_4)
| product2(e_3,e_5,e_3)
| product2(e_3,e_5,e_2)
| product2(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f124,f72]) ).
fof(f723,plain,
( product2(e_3,e_4,e_5)
| product2(e_3,e_4,e_4)
| product2(e_3,e_4,e_3)
| product2(e_3,e_4,e_2)
| product2(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f124,f71]) ).
fof(f724,plain,
( product2(e_3,e_3,e_5)
| product2(e_3,e_3,e_4)
| product2(e_3,e_3,e_3)
| product2(e_3,e_3,e_2)
| product2(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f124,f70]) ).
fof(f725,plain,
( product2(e_3,e_2,e_5)
| product2(e_3,e_2,e_4)
| product2(e_3,e_2,e_3)
| product2(e_3,e_2,e_2)
| product2(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f124,f69]) ).
fof(f726,plain,
( product2(e_3,e_1,e_5)
| product2(e_3,e_1,e_4)
| product2(e_3,e_1,e_3)
| product2(e_3,e_1,e_2)
| product2(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f124,f68]) ).
fof(f727,definition,
( sQ175_spl
<=> product2(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f728,plain,
( ~ sQ175_spl
| product2(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f729,plain,
( sQ175_spl
| ~ product2(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f730,definition,
( sQ176_spl
<=> product2(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f731,plain,
( ~ sQ176_spl
| product2(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f730]) ).
fof(f732,plain,
( sQ176_spl
| ~ product2(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f730]) ).
fof(f733,definition,
( sQ177_spl
<=> product2(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f734,plain,
( ~ sQ177_spl
| product2(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f735,plain,
( sQ177_spl
| ~ product2(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,definition,
( sQ178_spl
<=> product2(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f737,plain,
( ~ sQ178_spl
| product2(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f738,plain,
( sQ178_spl
| ~ product2(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,definition,
( sQ179_spl
<=> product2(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f740,plain,
( ~ sQ179_spl
| product2(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f741,plain,
( sQ179_spl
| ~ product2(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( sQ179_spl
| sQ178_spl
| sQ177_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f722,f727,f730,f733,f736,f739]) ).
fof(f743,definition,
( sQ180_spl
<=> product2(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( ~ sQ180_spl
| product2(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f745,plain,
( sQ180_spl
| ~ product2(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,definition,
( sQ181_spl
<=> product2(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f747,plain,
( ~ sQ181_spl
| product2(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f748,plain,
( sQ181_spl
| ~ product2(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,definition,
( sQ182_spl
<=> product2(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( ~ sQ182_spl
| product2(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f751,plain,
( sQ182_spl
| ~ product2(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,definition,
( sQ183_spl
<=> product2(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f753,plain,
( ~ sQ183_spl
| product2(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f754,plain,
( sQ183_spl
| ~ product2(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,definition,
( sQ184_spl
<=> product2(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f756,plain,
( ~ sQ184_spl
| product2(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f757,plain,
( sQ184_spl
| ~ product2(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( sQ184_spl
| sQ183_spl
| sQ182_spl
| sQ181_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f723,f743,f746,f749,f752,f755]) ).
fof(f759,definition,
( sQ185_spl
<=> product2(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f760,plain,
( ~ sQ185_spl
| product2(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f761,plain,
( sQ185_spl
| ~ product2(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,definition,
( sQ186_spl
<=> product2(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ186_spl
| product2(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f764,plain,
( sQ186_spl
| ~ product2(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,definition,
( sQ187_spl
<=> product2(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f768,definition,
( sQ188_spl
<=> product2(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ188_spl
| product2(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f770,plain,
( sQ188_spl
| ~ product2(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,definition,
( sQ189_spl
<=> product2(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f772,plain,
( ~ sQ189_spl
| product2(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f773,plain,
( sQ189_spl
| ~ product2(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,plain,
( sQ189_spl
| sQ188_spl
| sQ187_spl
| sQ186_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f724,f759,f762,f765,f768,f771]) ).
fof(f775,definition,
( sQ190_spl
<=> product2(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( ~ sQ190_spl
| product2(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f777,plain,
( sQ190_spl
| ~ product2(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,definition,
( sQ191_spl
<=> product2(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f779,plain,
( ~ sQ191_spl
| product2(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f780,plain,
( sQ191_spl
| ~ product2(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,definition,
( sQ192_spl
<=> product2(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f782,plain,
( ~ sQ192_spl
| product2(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f783,plain,
( sQ192_spl
| ~ product2(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,definition,
( sQ193_spl
<=> product2(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( ~ sQ193_spl
| product2(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f786,plain,
( sQ193_spl
| ~ product2(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f787,definition,
( sQ194_spl
<=> product2(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f788,plain,
( ~ sQ194_spl
| product2(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f789,plain,
( sQ194_spl
| ~ product2(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f790,plain,
( sQ194_spl
| sQ193_spl
| sQ192_spl
| sQ191_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f725,f775,f778,f781,f784,f787]) ).
fof(f791,definition,
( sQ195_spl
<=> product2(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f792,plain,
( ~ sQ195_spl
| product2(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f793,plain,
( sQ195_spl
| ~ product2(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,definition,
( sQ196_spl
<=> product2(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ196_spl
| product2(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f796,plain,
( sQ196_spl
| ~ product2(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,definition,
( sQ197_spl
<=> product2(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( ~ sQ197_spl
| product2(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f799,plain,
( sQ197_spl
| ~ product2(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f800,definition,
( sQ198_spl
<=> product2(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f801,plain,
( ~ sQ198_spl
| product2(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f802,plain,
( sQ198_spl
| ~ product2(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f803,definition,
( sQ199_spl
<=> product2(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( ~ sQ199_spl
| product2(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f805,plain,
( sQ199_spl
| ~ product2(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,plain,
( sQ199_spl
| sQ198_spl
| sQ197_spl
| sQ196_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f726,f791,f794,f797,f800,f803]) ).
fof(f807,plain,
( product2(e_2,e_5,e_5)
| product2(e_2,e_5,e_4)
| product2(e_2,e_5,e_3)
| product2(e_2,e_5,e_2)
| product2(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f125,f72]) ).
fof(f808,plain,
( product2(e_2,e_4,e_5)
| product2(e_2,e_4,e_4)
| product2(e_2,e_4,e_3)
| product2(e_2,e_4,e_2)
| product2(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f125,f71]) ).
fof(f809,plain,
( product2(e_2,e_3,e_5)
| product2(e_2,e_3,e_4)
| product2(e_2,e_3,e_3)
| product2(e_2,e_3,e_2)
| product2(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f125,f70]) ).
fof(f810,plain,
( product2(e_2,e_2,e_5)
| product2(e_2,e_2,e_4)
| product2(e_2,e_2,e_3)
| product2(e_2,e_2,e_2)
| product2(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f125,f69]) ).
fof(f811,plain,
( product2(e_2,e_1,e_5)
| product2(e_2,e_1,e_4)
| product2(e_2,e_1,e_3)
| product2(e_2,e_1,e_2)
| product2(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f125,f68]) ).
fof(f812,definition,
( sQ200_spl
<=> product2(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f813,plain,
( ~ sQ200_spl
| product2(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f814,plain,
( sQ200_spl
| ~ product2(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,definition,
( sQ201_spl
<=> product2(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f816,plain,
( ~ sQ201_spl
| product2(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f817,plain,
( sQ201_spl
| ~ product2(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f818,definition,
( sQ202_spl
<=> product2(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f819,plain,
( ~ sQ202_spl
| product2(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f820,plain,
( sQ202_spl
| ~ product2(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f821,definition,
( sQ203_spl
<=> product2(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f822,plain,
( ~ sQ203_spl
| product2(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f821]) ).
fof(f823,plain,
( sQ203_spl
| ~ product2(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f821]) ).
fof(f824,definition,
( sQ204_spl
<=> product2(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f825,plain,
( ~ sQ204_spl
| product2(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f826,plain,
( sQ204_spl
| ~ product2(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f827,plain,
( sQ204_spl
| sQ203_spl
| sQ202_spl
| sQ201_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f807,f812,f815,f818,f821,f824]) ).
fof(f828,definition,
( sQ205_spl
<=> product2(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f829,plain,
( ~ sQ205_spl
| product2(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f830,plain,
( sQ205_spl
| ~ product2(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,definition,
( sQ206_spl
<=> product2(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f832,plain,
( ~ sQ206_spl
| product2(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f833,plain,
( sQ206_spl
| ~ product2(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f834,definition,
( sQ207_spl
<=> product2(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f835,plain,
( ~ sQ207_spl
| product2(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f836,plain,
( sQ207_spl
| ~ product2(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,definition,
( sQ208_spl
<=> product2(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f838,plain,
( ~ sQ208_spl
| product2(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f839,plain,
( sQ208_spl
| ~ product2(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,definition,
( sQ209_spl
<=> product2(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f841,plain,
( ~ sQ209_spl
| product2(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f842,plain,
( sQ209_spl
| ~ product2(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,plain,
( sQ209_spl
| sQ208_spl
| sQ207_spl
| sQ206_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f808,f828,f831,f834,f837,f840]) ).
fof(f844,definition,
( sQ210_spl
<=> product2(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f845,plain,
( ~ sQ210_spl
| product2(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f846,plain,
( sQ210_spl
| ~ product2(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,definition,
( sQ211_spl
<=> product2(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f848,plain,
( ~ sQ211_spl
| product2(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f849,plain,
( sQ211_spl
| ~ product2(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,definition,
( sQ212_spl
<=> product2(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f851,plain,
( ~ sQ212_spl
| product2(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f852,plain,
( sQ212_spl
| ~ product2(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f853,definition,
( sQ213_spl
<=> product2(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( ~ sQ213_spl
| product2(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f853]) ).
fof(f855,plain,
( sQ213_spl
| ~ product2(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f853]) ).
fof(f856,definition,
( sQ214_spl
<=> product2(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f857,plain,
( ~ sQ214_spl
| product2(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f856]) ).
fof(f858,plain,
( sQ214_spl
| ~ product2(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f856]) ).
fof(f859,plain,
( sQ214_spl
| sQ213_spl
| sQ212_spl
| sQ211_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f809,f844,f847,f850,f853,f856]) ).
fof(f860,definition,
( sQ215_spl
<=> product2(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f861,plain,
( ~ sQ215_spl
| product2(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f862,plain,
( sQ215_spl
| ~ product2(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f863,definition,
( sQ216_spl
<=> product2(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f866,definition,
( sQ217_spl
<=> product2(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f867,plain,
( ~ sQ217_spl
| product2(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f868,plain,
( sQ217_spl
| ~ product2(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,definition,
( sQ218_spl
<=> product2(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( ~ sQ218_spl
| product2(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f871,plain,
( sQ218_spl
| ~ product2(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f872,definition,
( sQ219_spl
<=> product2(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f873,plain,
( ~ sQ219_spl
| product2(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f874,plain,
( sQ219_spl
| ~ product2(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f872]) ).
fof(f875,plain,
( sQ219_spl
| sQ218_spl
| sQ217_spl
| sQ216_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f810,f860,f863,f866,f869,f872]) ).
fof(f876,definition,
( sQ220_spl
<=> product2(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f877,plain,
( ~ sQ220_spl
| product2(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f878,plain,
( sQ220_spl
| ~ product2(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f879,definition,
( sQ221_spl
<=> product2(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f880,plain,
( ~ sQ221_spl
| product2(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f881,plain,
( sQ221_spl
| ~ product2(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f882,definition,
( sQ222_spl
<=> product2(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f883,plain,
( ~ sQ222_spl
| product2(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f884,plain,
( sQ222_spl
| ~ product2(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f885,definition,
( sQ223_spl
<=> product2(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f886,plain,
( ~ sQ223_spl
| product2(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f887,plain,
( sQ223_spl
| ~ product2(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,definition,
( sQ224_spl
<=> product2(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f889,plain,
( ~ sQ224_spl
| product2(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f890,plain,
( sQ224_spl
| ~ product2(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f891,plain,
( sQ224_spl
| sQ223_spl
| sQ222_spl
| sQ221_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f811,f876,f879,f882,f885,f888]) ).
fof(f892,plain,
( product2(e_1,e_5,e_5)
| product2(e_1,e_5,e_4)
| product2(e_1,e_5,e_3)
| product2(e_1,e_5,e_2)
| product2(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f126,f72]) ).
fof(f893,plain,
( product2(e_1,e_4,e_5)
| product2(e_1,e_4,e_4)
| product2(e_1,e_4,e_3)
| product2(e_1,e_4,e_2)
| product2(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f126,f71]) ).
fof(f894,plain,
( product2(e_1,e_3,e_5)
| product2(e_1,e_3,e_4)
| product2(e_1,e_3,e_3)
| product2(e_1,e_3,e_2)
| product2(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f126,f70]) ).
fof(f895,plain,
( product2(e_1,e_2,e_5)
| product2(e_1,e_2,e_4)
| product2(e_1,e_2,e_3)
| product2(e_1,e_2,e_2)
| product2(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f126,f69]) ).
fof(f896,plain,
( product2(e_1,e_1,e_5)
| product2(e_1,e_1,e_4)
| product2(e_1,e_1,e_3)
| product2(e_1,e_1,e_2)
| product2(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f126,f68]) ).
fof(f897,definition,
( sQ225_spl
<=> product2(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f898,plain,
( ~ sQ225_spl
| product2(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f899,plain,
( sQ225_spl
| ~ product2(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f900,definition,
( sQ226_spl
<=> product2(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f901,plain,
( ~ sQ226_spl
| product2(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f902,plain,
( sQ226_spl
| ~ product2(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f903,definition,
( sQ227_spl
<=> product2(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( ~ sQ227_spl
| product2(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f903]) ).
fof(f905,plain,
( sQ227_spl
| ~ product2(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f903]) ).
fof(f906,definition,
( sQ228_spl
<=> product2(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f907,plain,
( ~ sQ228_spl
| product2(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f906]) ).
fof(f908,plain,
( sQ228_spl
| ~ product2(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f906]) ).
fof(f909,definition,
( sQ229_spl
<=> product2(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f910,plain,
( ~ sQ229_spl
| product2(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f911,plain,
( sQ229_spl
| ~ product2(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f912,plain,
( sQ229_spl
| sQ228_spl
| sQ227_spl
| sQ226_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f892,f897,f900,f903,f906,f909]) ).
fof(f913,definition,
( sQ230_spl
<=> product2(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f914,plain,
( ~ sQ230_spl
| product2(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f915,plain,
( sQ230_spl
| ~ product2(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f916,definition,
( sQ231_spl
<=> product2(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f917,plain,
( ~ sQ231_spl
| product2(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f918,plain,
( sQ231_spl
| ~ product2(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f919,definition,
( sQ232_spl
<=> product2(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f920,plain,
( ~ sQ232_spl
| product2(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f921,plain,
( sQ232_spl
| ~ product2(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,definition,
( sQ233_spl
<=> product2(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f923,plain,
( ~ sQ233_spl
| product2(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f924,plain,
( sQ233_spl
| ~ product2(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f925,definition,
( sQ234_spl
<=> product2(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f926,plain,
( ~ sQ234_spl
| product2(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f925]) ).
fof(f927,plain,
( sQ234_spl
| ~ product2(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f925]) ).
fof(f928,plain,
( sQ234_spl
| sQ233_spl
| sQ232_spl
| sQ231_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f893,f913,f916,f919,f922,f925]) ).
fof(f929,definition,
( sQ235_spl
<=> product2(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f930,plain,
( ~ sQ235_spl
| product2(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f931,plain,
( sQ235_spl
| ~ product2(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f932,definition,
( sQ236_spl
<=> product2(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f933,plain,
( ~ sQ236_spl
| product2(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f934,plain,
( sQ236_spl
| ~ product2(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f935,definition,
( sQ237_spl
<=> product2(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f936,plain,
( ~ sQ237_spl
| product2(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f937,plain,
( sQ237_spl
| ~ product2(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f938,definition,
( sQ238_spl
<=> product2(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( ~ sQ238_spl
| product2(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f940,plain,
( sQ238_spl
| ~ product2(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f941,definition,
( sQ239_spl
<=> product2(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f942,plain,
( ~ sQ239_spl
| product2(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f943,plain,
( sQ239_spl
| ~ product2(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f944,plain,
( sQ239_spl
| sQ238_spl
| sQ237_spl
| sQ236_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f894,f929,f932,f935,f938,f941]) ).
fof(f945,definition,
( sQ240_spl
<=> product2(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f946,plain,
( ~ sQ240_spl
| product2(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f947,plain,
( sQ240_spl
| ~ product2(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f948,definition,
( sQ241_spl
<=> product2(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f949,plain,
( ~ sQ241_spl
| product2(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f950,plain,
( sQ241_spl
| ~ product2(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f951,definition,
( sQ242_spl
<=> product2(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( ~ sQ242_spl
| product2(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f953,plain,
( sQ242_spl
| ~ product2(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f954,definition,
( sQ243_spl
<=> product2(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( ~ sQ243_spl
| product2(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f956,plain,
( sQ243_spl
| ~ product2(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,definition,
( sQ244_spl
<=> product2(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f958,plain,
( ~ sQ244_spl
| product2(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f959,plain,
( sQ244_spl
| ~ product2(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,plain,
( sQ244_spl
| sQ243_spl
| sQ242_spl
| sQ241_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f895,f945,f948,f951,f954,f957]) ).
fof(f961,definition,
( sQ245_spl
<=> product2(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f964,definition,
( sQ246_spl
<=> product2(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f965,plain,
( ~ sQ246_spl
| product2(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f964]) ).
fof(f966,plain,
( sQ246_spl
| ~ product2(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f964]) ).
fof(f967,definition,
( sQ247_spl
<=> product2(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( ~ sQ247_spl
| product2(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f969,plain,
( sQ247_spl
| ~ product2(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f970,definition,
( sQ248_spl
<=> product2(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f971,plain,
( ~ sQ248_spl
| product2(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f972,plain,
( sQ248_spl
| ~ product2(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f973,definition,
( sQ249_spl
<=> product2(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f974,plain,
( ~ sQ249_spl
| product2(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f975,plain,
( sQ249_spl
| ~ product2(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f976,plain,
( sQ249_spl
| sQ248_spl
| sQ247_spl
| sQ246_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f896,f961,f964,f967,f970,f973]) ).
fof(f979,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product2(X0,X0,X1) ),
inference(resolution,[status(thm)],[f103,f108]) ).
fof(f981,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product2(X0,X1,X0) ),
inference(resolution,[status(thm)],[f105,f108]) ).
fof(f983,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product2(X0,X1,X1) ),
inference(resolution,[status(thm)],[f107,f108]) ).
fof(f985,plain,
( ~ sQ24_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f209,f115]) ).
fof(f986,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f209,f99]) ).
fof(f987,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f209,f97]) ).
fof(f988,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_5)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f209,f95]) ).
fof(f989,plain,
! [X0] :
( ~ sQ24_spl
| product2(e_5,X0,e_1)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f209,f110]) ).
fof(f990,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f985,f76]) ).
fof(f991,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f990]) ).
fof(f992,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f206,f99]) ).
fof(f993,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f206,f97]) ).
fof(f994,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f206,f95]) ).
fof(f995,plain,
! [X0] :
( ~ sQ23_spl
| product2(e_4,X0,e_1)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f206,f110]) ).
fof(f999,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f203,f994]) ).
fof(f1000,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f203,f99]) ).
fof(f1001,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f203,f97]) ).
fof(f1002,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f203,f95]) ).
fof(f1003,plain,
! [X0] :
( ~ sQ22_spl
| product2(e_3,X0,e_1)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f203,f110]) ).
fof(f1004,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f999,f83]) ).
fof(f1005,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1004]) ).
fof(f1006,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f200,f99]) ).
fof(f1007,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f200,f97]) ).
fof(f1008,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f200,f95]) ).
fof(f1009,plain,
! [X0] :
( ~ sQ21_spl
| product2(e_2,X0,e_1)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f200,f110]) ).
fof(f1014,plain,
( ~ sQ20_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f197,f116]) ).
fof(f1015,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_5)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f197,f99]) ).
fof(f1016,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f197,f97]) ).
fof(f1017,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f197,f95]) ).
fof(f1018,plain,
( ~ sQ20_spl
| product2(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f197,f111]) ).
fof(f1019,plain,
! [X0] :
( ~ sQ20_spl
| product2(e_1,X0,e_1)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f197,f110]) ).
fof(f1022,plain,
( ~ sQ19_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f193,f115]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f193,f99]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f193,f97]) ).
fof(f1025,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f193,f95]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ19_spl
| product2(e_5,X0,e_2)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f193,f110]) ).
fof(f1027,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1022,f80]) ).
fof(f1028,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f1027]) ).
fof(f1029,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f190,f99]) ).
fof(f1030,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f190,f97]) ).
fof(f1031,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f190,f95]) ).
fof(f1032,plain,
! [X0] :
( ~ sQ18_spl
| product2(e_4,X0,e_2)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f190,f110]) ).
fof(f1036,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f187,f1031]) ).
fof(f1037,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f187,f99]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f187,f97]) ).
fof(f1039,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f187,f95]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ17_spl
| product2(e_3,X0,e_2)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f187,f110]) ).
fof(f1041,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1036,f83]) ).
fof(f1042,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1041]) ).
fof(f1044,plain,
( ~ sQ16_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f184,f116]) ).
fof(f1045,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f184,f99]) ).
fof(f1046,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f184,f97]) ).
fof(f1047,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f184,f95]) ).
fof(f1048,plain,
( ~ sQ16_spl
| product2(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f184,f111]) ).
fof(f1049,plain,
! [X0] :
( ~ sQ16_spl
| product2(e_2,X0,e_2)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f184,f110]) ).
fof(f1052,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1014,f89]) ).
fof(f1053,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f1052]) ).
fof(f1054,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_5)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f181,f99]) ).
fof(f1055,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_2)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f181,f97]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f181,f95]) ).
fof(f1057,plain,
! [X0] :
( ~ sQ15_spl
| product2(e_1,X0,e_2)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f181,f110]) ).
fof(f1061,plain,
( ~ sQ14_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f177,f115]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f177,f99]) ).
fof(f1063,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f177,f97]) ).
fof(f1064,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_5)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f177,f95]) ).
fof(f1065,plain,
! [X0] :
( ~ sQ14_spl
| product2(e_5,X0,e_3)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f177,f110]) ).
fof(f1066,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1061,f84]) ).
fof(f1067,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f1066]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f174,f99]) ).
fof(f1069,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f174,f97]) ).
fof(f1070,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f174,f95]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ13_spl
| product2(e_4,X0,e_3)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f174,f110]) ).
fof(f1073,plain,
( ~ sQ12_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f171,f116]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f171,f99]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f171,f97]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f171,f95]) ).
fof(f1077,plain,
( ~ sQ12_spl
| product2(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f171,f111]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ12_spl
| product2(e_3,X0,e_3)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f171,f110]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f168,f99]) ).
fof(f1082,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f168,f97]) ).
fof(f1083,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f168,f95]) ).
fof(f1084,plain,
! [X0] :
( ~ sQ11_spl
| product2(e_2,X0,e_3)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f168,f110]) ).
fof(f1085,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f165,f1055]) ).
fof(f1086,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_5)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f165,f99]) ).
fof(f1087,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f165,f97]) ).
fof(f1088,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f165,f95]) ).
fof(f1089,plain,
! [X0] :
( ~ sQ10_spl
| product2(e_1,X0,e_3)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f165,f110]) ).
fof(f1090,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1085,f82]) ).
fof(f1091,plain,
( ~ sQ15_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1090]) ).
fof(f1092,plain,
( ~ sQ9_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f161,f115]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f161,f99]) ).
fof(f1094,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f161,f97]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f161,f95]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ9_spl
| product2(e_5,X0,e_4)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f161,f110]) ).
fof(f1097,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1092,f88]) ).
fof(f1098,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f1097]) ).
fof(f1099,plain,
( ~ sQ8_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f158,f116]) ).
fof(f1100,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f158,f99]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f158,f97]) ).
fof(f1102,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f158,f95]) ).
fof(f1103,plain,
( ~ sQ8_spl
| product2(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f158,f111]) ).
fof(f1104,plain,
! [X0] :
( ~ sQ8_spl
| product2(e_4,X0,e_4)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f158,f110]) ).
fof(f1105,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1099,f92]) ).
fof(f1106,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f1105]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f155,f99]) ).
fof(f1108,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f155,f97]) ).
fof(f1109,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f155,f95]) ).
fof(f1110,plain,
! [X0] :
( ~ sQ7_spl
| product2(e_3,X0,e_4)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f155,f110]) ).
fof(f1111,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f152,f99]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f152,f97]) ).
fof(f1113,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f152,f95]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ6_spl
| product2(e_2,X0,e_4)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f152,f110]) ).
fof(f1117,plain,
( ~ sQ11_spl
| ~ sQ13_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1070,f168]) ).
fof(f1119,plain,
( ~ sQ11_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1117,f79]) ).
fof(f1120,plain,
( ~ sQ11_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1119]) ).
fof(f1121,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1007,f152]) ).
fof(f1122,plain,
( ~ sQ11_spl
| ~ sQ21_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1007,f168]) ).
fof(f1123,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1121,f85]) ).
fof(f1124,plain,
( ~ sQ6_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1123]) ).
fof(f1125,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1044,f90]) ).
fof(f1126,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f1125]) ).
fof(f1130,plain,
( ~ sQ7_spl
| ~ sQ22_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1001,f155]) ).
fof(f1131,plain,
( ~ sQ7_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1130,f85]) ).
fof(f1132,plain,
( ~ sQ7_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1131]) ).
fof(f1133,plain,
( ~ sQ11_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1122,f81]) ).
fof(f1134,plain,
( ~ sQ11_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1133]) ).
fof(f1135,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f149,f1087]) ).
fof(f1136,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_5)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f149,f99]) ).
fof(f1137,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_4)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f149,f97]) ).
fof(f1138,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f149,f95]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ5_spl
| product2(e_1,X0,e_4)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f149,f110]) ).
fof(f1140,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1135,f87]) ).
fof(f1141,plain,
( ~ sQ10_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1140]) ).
fof(f1145,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1055,f149]) ).
fof(f1146,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1145,f86]) ).
fof(f1147,plain,
( ~ sQ5_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1146]) ).
fof(f1148,plain,
( ~ sQ22_spl
| ~ sQ49_spl
| product2(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f294,f1003]) ).
fof(f1149,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f294,f99]) ).
fof(f1150,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f294,f97]) ).
fof(f1151,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f294,f95]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ49_spl
| product2(e_5,X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f294,f110]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1148,f103]) ).
fof(f1163,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| product2(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f291,f1152]) ).
fof(f1164,plain,
( ~ sQ48_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f291,f115]) ).
fof(f1165,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f291,f99]) ).
fof(f1166,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f291,f97]) ).
fof(f1167,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f291,f95]) ).
fof(f1168,plain,
! [X0] :
( ~ sQ48_spl
| product2(e_4,X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f291,f110]) ).
fof(f1171,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f288,f1000]) ).
fof(f1172,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f288,f99]) ).
fof(f1173,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f288,f97]) ).
fof(f1174,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f288,f95]) ).
fof(f1175,plain,
! [X0] :
( ~ sQ47_spl
| product2(e_3,X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f288,f110]) ).
fof(f1176,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1171,f88]) ).
fof(f1177,plain,
( ~ sQ22_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1176]) ).
fof(f1178,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1073,f91]) ).
fof(f1179,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f1178]) ).
fof(f1180,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f285,f1006]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f285,f99]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f285,f97]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f285,f95]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ46_spl
| product2(e_2,X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f285,f110]) ).
fof(f1185,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1180,f88]) ).
fof(f1186,plain,
( ~ sQ21_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1185]) ).
fof(f1187,plain,
( ~ sQ45_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f282,f116]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_4)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f282,f99]) ).
fof(f1189,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f282,f97]) ).
fof(f1190,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f282,f95]) ).
fof(f1191,plain,
( ~ sQ45_spl
| product2(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f282,f111]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ45_spl
| product2(e_1,X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f282,f110]) ).
fof(f1193,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1187,f85]) ).
fof(f1194,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f1193]) ).
fof(f1195,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| product2(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f278,f1040]) ).
fof(f1196,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f278,f99]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f278,f97]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f278,f95]) ).
fof(f1199,plain,
! [X0] :
( ~ sQ44_spl
| product2(e_5,X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f278,f110]) ).
fof(f1200,plain,
( ~ sQ43_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f275,f115]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f275,f99]) ).
fof(f1202,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f275,f97]) ).
fof(f1203,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f275,f95]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ43_spl
| product2(e_4,X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f275,f110]) ).
fof(f1205,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1200,f79]) ).
fof(f1206,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f1205]) ).
fof(f1207,plain,
( ~ sQ17_spl
| ~ sQ42_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f272,f1037]) ).
fof(f1208,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f272,f99]) ).
fof(f1209,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f272,f97]) ).
fof(f1210,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f272,f95]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ42_spl
| product2(e_3,X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f272,f110]) ).
fof(f1212,plain,
( ~ sQ17_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1207,f88]) ).
fof(f1213,plain,
( ~ sQ17_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1212]) ).
fof(f1214,plain,
( ~ sQ41_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f269,f116]) ).
fof(f1215,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f269,f99]) ).
fof(f1216,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f269,f97]) ).
fof(f1217,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f269,f95]) ).
fof(f1218,plain,
( ~ sQ41_spl
| product2(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f269,f111]) ).
fof(f1219,plain,
! [X0] :
( ~ sQ41_spl
| product2(e_2,X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f269,f110]) ).
fof(f1220,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1214,f86]) ).
fof(f1221,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f1220]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_4)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f266,f99]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f266,f97]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f266,f95]) ).
fof(f1225,plain,
! [X0] :
( ~ sQ40_spl
| product2(e_1,X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f266,f110]) ).
fof(f1226,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f262,f99]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f262,f97]) ).
fof(f1228,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f262,f95]) ).
fof(f1229,plain,
! [X0] :
( ~ sQ39_spl
| product2(e_5,X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f262,f110]) ).
fof(f1230,plain,
( ~ sQ38_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f259,f115]) ).
fof(f1231,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f259,f99]) ).
fof(f1232,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f259,f97]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f259,f95]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ38_spl
| product2(e_4,X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f259,f110]) ).
fof(f1235,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1230,f83]) ).
fof(f1236,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f1235]) ).
fof(f1237,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| product2(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1084,f262]) ).
fof(f1238,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1237,f107]) ).
fof(f1239,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ11_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1237,f105]) ).
fof(f1240,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ11_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1237,f103]) ).
fof(f1244,plain,
( ~ sQ44_spl
| ~ sQ15_spl
| product2(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1057,f278]) ).
fof(f1245,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ15_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1244,f107]) ).
fof(f1246,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ15_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1244,f105]) ).
fof(f1247,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ15_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1244,f103]) ).
fof(f1252,plain,
( ~ sQ39_spl
| ~ sQ44_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1197,f262]) ).
fof(f1254,plain,
( ~ sQ39_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1252,f82]) ).
fof(f1255,plain,
( ~ sQ39_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1254]) ).
fof(f1256,plain,
( ~ sQ40_spl
| ~ sQ15_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1054,f266]) ).
fof(f1257,plain,
( ~ sQ40_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1256,f88]) ).
fof(f1258,plain,
( ~ sQ40_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1257]) ).
fof(f1262,plain,
( ~ sQ37_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f256,f116]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f256,f99]) ).
fof(f1264,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f256,f97]) ).
fof(f1265,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f256,f95]) ).
fof(f1266,plain,
( ~ sQ37_spl
| product2(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f256,f111]) ).
fof(f1267,plain,
! [X0] :
( ~ sQ37_spl
| product2(e_3,X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f256,f110]) ).
fof(f1268,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1262,f87]) ).
fof(f1269,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f1268]) ).
fof(f1270,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f253,f1182]) ).
fof(f1271,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f253,f99]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f253,f97]) ).
fof(f1273,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f253,f95]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ36_spl
| product2(e_2,X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f253,f110]) ).
fof(f1275,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1270,f81]) ).
fof(f1276,plain,
( ~ sQ46_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1275]) ).
fof(f1277,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1164,f75]) ).
fof(f1278,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f1277]) ).
fof(f1279,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f250,f1223]) ).
fof(f1280,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f250,f99]) ).
fof(f1281,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f250,f97]) ).
fof(f1282,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f250,f95]) ).
fof(f1283,plain,
! [X0] :
( ~ sQ35_spl
| product2(e_1,X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f250,f110]) ).
fof(f1284,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1279,f82]) ).
fof(f1285,plain,
( ~ sQ40_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1284]) ).
fof(f1289,plain,
( ~ sQ6_spl
| ~ sQ34_spl
| product2(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f246,f1114]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f246,f99]) ).
fof(f1291,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f246,f97]) ).
fof(f1292,plain,
( ~ sQ34_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f246,f113]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f246,f95]) ).
fof(f1294,plain,
! [X0] :
( ~ sQ34_spl
| product2(e_5,X0,e_4)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f246,f110]) ).
fof(f1295,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1292,f92]) ).
fof(f1296,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f1295]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f240,f99]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f240,f97]) ).
fof(f1299,plain,
( ~ sQ32_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f240,f113]) ).
fof(f1300,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f240,f95]) ).
fof(f1301,plain,
! [X0] :
( ~ sQ32_spl
| product2(e_3,X0,e_4)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f240,f110]) ).
fof(f1302,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1299,f83]) ).
fof(f1303,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f1302]) ).
fof(f1304,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f237,f99]) ).
fof(f1305,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f237,f97]) ).
fof(f1306,plain,
( ~ sQ31_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f237,f113]) ).
fof(f1307,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f237,f95]) ).
fof(f1308,plain,
! [X0] :
( ~ sQ31_spl
| product2(e_2,X0,e_4)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f237,f110]) ).
fof(f1309,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1306,f79]) ).
fof(f1310,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f1309]) ).
fof(f1311,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f234,f99]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f234,f97]) ).
fof(f1313,plain,
( ~ sQ30_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f234,f113]) ).
fof(f1314,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f234,f95]) ).
fof(f1315,plain,
! [X0] :
( ~ sQ30_spl
| product2(e_1,X0,e_4)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f234,f110]) ).
fof(f1316,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1313,f75]) ).
fof(f1317,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f1316]) ).
fof(f1318,plain,
( ~ sQ29_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f230,f116]) ).
fof(f1319,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f230,f99]) ).
fof(f1320,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f230,f97]) ).
fof(f1321,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_5)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f230,f95]) ).
fof(f1322,plain,
( ~ sQ29_spl
| product2(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f230,f111]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ29_spl
| product2(e_5,X0,e_5)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f230,f110]) ).
fof(f1324,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1318,f88]) ).
fof(f1325,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f1324]) ).
fof(f1326,plain,
( ~ sQ28_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f227,f115]) ).
fof(f1327,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f227,f99]) ).
fof(f1328,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f227,f97]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f227,f95]) ).
fof(f1330,plain,
! [X0] :
( ~ sQ28_spl
| product2(e_4,X0,e_5)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f227,f110]) ).
fof(f1331,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1326,f92]) ).
fof(f1332,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f1331]) ).
fof(f1333,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f224,f99]) ).
fof(f1334,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f224,f97]) ).
fof(f1335,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f224,f95]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ27_spl
| product2(e_3,X0,e_5)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f224,f110]) ).
fof(f1337,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f221,f99]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f221,f97]) ).
fof(f1339,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f221,f95]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ26_spl
| product2(e_2,X0,e_5)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f221,f110]) ).
fof(f1341,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_4)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f218,f99]) ).
fof(f1342,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_5)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f218,f97]) ).
fof(f1343,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product1(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f218,f95]) ).
fof(f1344,plain,
! [X0] :
( ~ sQ25_spl
| product2(e_1,X0,e_5)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f218,f110]) ).
fof(f1345,plain,
( ~ sQ21_spl
| ~ sQ74_spl
| product2(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f379,f1009]) ).
fof(f1346,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f379,f99]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f379,f97]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f379,f95]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ74_spl
| product2(e_5,X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f379,f110]) ).
fof(f1350,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ74_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1345,f107]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1345,f105]) ).
fof(f1352,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1345,f103]) ).
fof(f1356,plain,
( ~ sQ25_spl
| ~ sQ40_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1223,f218]) ).
fof(f1357,plain,
( ~ sQ25_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1356,f90]) ).
fof(f1358,plain,
( ~ sQ25_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1357]) ).
fof(f1359,plain,
( ~ sQ74_spl
| ~ sQ22_spl
| product2(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f1003,f379]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1359,f107]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1359,f105]) ).
fof(f1362,plain,
( ~ sQ74_spl
| ~ sQ22_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1359,f979]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ22_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1359,f103]) ).
fof(f1364,plain,
( ~ sQ74_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1362,f74]) ).
fof(f1365,plain,
( ~ sQ74_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1364]) ).
fof(f1368,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1335,f221]) ).
fof(f1370,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1368,f78]) ).
fof(f1371,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f1370]) ).
fof(f1372,plain,
( ~ sQ46_spl
| ~ sQ73_spl
| product2(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f376,f1184]) ).
fof(f1373,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f376,f99]) ).
fof(f1374,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f376,f97]) ).
fof(f1375,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f376,f95]) ).
fof(f1376,plain,
! [X0] :
( ~ sQ73_spl
| product2(e_4,X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f376,f110]) ).
fof(f1377,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ73_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1372,f107]) ).
fof(f1378,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ73_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1372,f105]) ).
fof(f1379,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ73_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1372,f103]) ).
fof(f1387,plain,
( ~ sQ73_spl
| ~ sQ72_spl
| product2(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f373,f1376]) ).
fof(f1389,plain,
( ~ sQ72_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f373,f115]) ).
fof(f1390,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f373,f99]) ).
fof(f1391,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f373,f97]) ).
fof(f1392,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f373,f95]) ).
fof(f1393,plain,
! [X0] :
( ~ sQ72_spl
| product2(e_3,X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f373,f110]) ).
fof(f1396,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f370,f1181]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f370,f99]) ).
fof(f1398,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f370,f97]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f370,f95]) ).
fof(f1400,plain,
! [X0] :
( ~ sQ71_spl
| product2(e_2,X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f370,f110]) ).
fof(f1401,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1396,f83]) ).
fof(f1402,plain,
( ~ sQ46_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1401]) ).
fof(f1403,plain,
( ~ sQ70_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f367,f116]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f367,f99]) ).
fof(f1405,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f367,f97]) ).
fof(f1406,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f367,f95]) ).
fof(f1407,plain,
( ~ sQ70_spl
| product2(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f367,f111]) ).
fof(f1408,plain,
! [X0] :
( ~ sQ70_spl
| product2(e_1,X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f367,f110]) ).
fof(f1409,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1403,f81]) ).
fof(f1410,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f1409]) ).
fof(f1413,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f363,f99]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f363,f97]) ).
fof(f1415,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f363,f95]) ).
fof(f1416,plain,
! [X0] :
( ~ sQ69_spl
| product2(e_5,X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f363,f110]) ).
fof(f1417,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f360,f99]) ).
fof(f1418,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f360,f97]) ).
fof(f1419,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f360,f95]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ68_spl
| product2(e_4,X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f360,f110]) ).
fof(f1421,plain,
( ~ sQ67_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f357,f115]) ).
fof(f1422,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f357,f99]) ).
fof(f1423,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f357,f97]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f357,f95]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ67_spl
| product2(e_3,X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f357,f110]) ).
fof(f1426,plain,
( ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1421,f78]) ).
fof(f1427,plain,
~ sQ67_spl,
inference(contradiction_clause,[status(thm)],[f1426]) ).
fof(f1428,plain,
( ~ sQ66_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f354,f116]) ).
fof(f1429,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f354,f99]) ).
fof(f1430,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f354,f97]) ).
fof(f1431,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f354,f95]) ).
fof(f1432,plain,
( ~ sQ66_spl
| product2(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f354,f111]) ).
fof(f1433,plain,
! [X0] :
( ~ sQ66_spl
| product2(e_2,X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f354,f110]) ).
fof(f1434,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1428,f82]) ).
fof(f1435,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f1434]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_3)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f351,f99]) ).
fof(f1437,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f351,f97]) ).
fof(f1438,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f351,f95]) ).
fof(f1439,plain,
! [X0] :
( ~ sQ65_spl
| product2(e_1,X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f351,f110]) ).
fof(f1440,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f347,f99]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f347,f97]) ).
fof(f1442,plain,
( ~ sQ64_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f347,f113]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f347,f95]) ).
fof(f1444,plain,
! [X0] :
( ~ sQ64_spl
| product2(e_5,X0,e_3)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f347,f110]) ).
fof(f1445,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1442,f91]) ).
fof(f1446,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f1445]) ).
fof(f1447,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f344,f99]) ).
fof(f1448,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f344,f97]) ).
fof(f1449,plain,
( ~ sQ63_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f344,f113]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f344,f95]) ).
fof(f1451,plain,
! [X0] :
( ~ sQ63_spl
| product2(e_4,X0,e_3)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f344,f110]) ).
fof(f1452,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1449,f87]) ).
fof(f1453,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f1452]) ).
fof(f1454,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f338,f99]) ).
fof(f1455,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f338,f97]) ).
fof(f1456,plain,
( ~ sQ61_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f338,f113]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f338,f95]) ).
fof(f1458,plain,
! [X0] :
( ~ sQ61_spl
| product2(e_2,X0,e_3)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f338,f110]) ).
fof(f1459,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1456,f78]) ).
fof(f1460,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1459]) ).
fof(f1467,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| product2(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1225,f360]) ).
fof(f1468,plain,
( ~ sQ69_spl
| ~ sQ17_spl
| product2(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1040,f363]) ).
fof(f1470,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1467,f105]) ).
fof(f1472,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1468,f107]) ).
fof(f1473,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1468,f105]) ).
fof(f1474,plain,
( ~ sQ69_spl
| ~ sQ17_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1468,f979]) ).
fof(f1475,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ17_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1468,f103]) ).
fof(f1476,plain,
( ~ sQ69_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1474,f78]) ).
fof(f1477,plain,
( ~ sQ69_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1476]) ).
fof(f1484,plain,
( ~ sQ69_spl
| ~ sQ15_spl
| product2(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1057,f363]) ).
fof(f1485,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ15_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1484,f107]) ).
fof(f1486,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ15_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1484,f105]) ).
fof(f1487,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ15_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1484,f103]) ).
fof(f1489,plain,
( ~ sQ68_spl
| ~ sQ42_spl
| product2(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1211,f360]) ).
fof(f1490,plain,
( ~ sQ69_spl
| ~ sQ18_spl
| product2(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1032,f363]) ).
fof(f1492,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1489,f107]) ).
fof(f1493,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1489,f105]) ).
fof(f1494,plain,
( ~ sQ68_spl
| ~ sQ42_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1489,f979]) ).
fof(f1495,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ42_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1489,f103]) ).
fof(f1498,plain,
( ~ sQ68_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1494,f78]) ).
fof(f1499,plain,
( ~ sQ68_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1498]) ).
fof(f1509,plain,
( ~ sQ65_spl
| ~ sQ40_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1222,f351]) ).
fof(f1510,plain,
( ~ sQ65_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1509,f83]) ).
fof(f1511,plain,
( ~ sQ65_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1510]) ).
fof(f1521,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f335,f99]) ).
fof(f1522,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_3)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f335,f97]) ).
fof(f1523,plain,
( ~ sQ60_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f335,f113]) ).
fof(f1524,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f335,f95]) ).
fof(f1525,plain,
! [X0] :
( ~ sQ60_spl
| product2(e_1,X0,e_3)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f335,f110]) ).
fof(f1528,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1523,f74]) ).
fof(f1529,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1528]) ).
fof(f1530,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f331,f99]) ).
fof(f1531,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f331,f97]) ).
fof(f1532,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f331,f95]) ).
fof(f1533,plain,
! [X0] :
( ~ sQ59_spl
| product2(e_5,X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f331,f110]) ).
fof(f1534,plain,
( ~ sQ58_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f328,f116]) ).
fof(f1535,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f328,f99]) ).
fof(f1536,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f328,f97]) ).
fof(f1537,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f328,f95]) ).
fof(f1538,plain,
( ~ sQ58_spl
| product2(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f328,f111]) ).
fof(f1539,plain,
! [X0] :
( ~ sQ58_spl
| product2(e_4,X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f328,f110]) ).
fof(f1540,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1534,f83]) ).
fof(f1541,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f1540]) ).
fof(f1542,plain,
( ~ sQ57_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f325,f115]) ).
fof(f1543,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f325,f99]) ).
fof(f1544,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f325,f97]) ).
fof(f1545,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f325,f95]) ).
fof(f1546,plain,
! [X0] :
( ~ sQ57_spl
| product2(e_3,X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f325,f110]) ).
fof(f1547,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1542,f87]) ).
fof(f1548,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f1547]) ).
fof(f1549,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f322,f99]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f322,f97]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f322,f95]) ).
fof(f1552,plain,
! [X0] :
( ~ sQ56_spl
| product2(e_2,X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f322,f110]) ).
fof(f1553,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f319,f99]) ).
fof(f1554,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f319,f97]) ).
fof(f1555,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f319,f95]) ).
fof(f1556,plain,
! [X0] :
( ~ sQ55_spl
| product2(e_1,X0,e_4)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f319,f110]) ).
fof(f1557,plain,
( ~ sQ54_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f315,f116]) ).
fof(f1558,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f315,f99]) ).
fof(f1559,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f315,f97]) ).
fof(f1560,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f315,f95]) ).
fof(f1561,plain,
( ~ sQ54_spl
| product2(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f315,f111]) ).
fof(f1562,plain,
! [X0] :
( ~ sQ54_spl
| product2(e_5,X0,e_5)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f315,f110]) ).
fof(f1563,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1557,f84]) ).
fof(f1564,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f1563]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f312,f99]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f312,f97]) ).
fof(f1567,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f312,f95]) ).
fof(f1568,plain,
! [X0] :
( ~ sQ53_spl
| product2(e_4,X0,e_5)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f312,f110]) ).
fof(f1569,plain,
( ~ sQ52_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f309,f115]) ).
fof(f1570,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f309,f99]) ).
fof(f1571,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f309,f97]) ).
fof(f1572,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f309,f95]) ).
fof(f1573,plain,
! [X0] :
( ~ sQ52_spl
| product2(e_3,X0,e_5)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f309,f110]) ).
fof(f1574,plain,
( ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1569,f91]) ).
fof(f1575,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f1574]) ).
fof(f1582,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| ~ sQ22_spl
| ~ sQ49_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1155,f1195]) ).
fof(f1584,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| ~ sQ22_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1582,f77]) ).
fof(f1585,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| ~ sQ22_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1584]) ).
fof(f1593,plain,
( ~ sQ53_spl
| ~ sQ25_spl
| product2(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f1344,f312]) ).
fof(f1594,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ25_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1593,f107]) ).
fof(f1595,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ25_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1593,f105]) ).
fof(f1596,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ25_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1593,f103]) ).
fof(f1602,plain,
( ~ sQ59_spl
| ~ sQ7_spl
| product2(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1110,f331]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1602,f107]) ).
fof(f1604,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1602,f105]) ).
fof(f1605,plain,
( ~ sQ59_spl
| ~ sQ7_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1602,f979]) ).
fof(f1606,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ7_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f1602,f103]) ).
fof(f1607,plain,
( ~ sQ59_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1605,f87]) ).
fof(f1608,plain,
( ~ sQ59_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1607]) ).
fof(f1609,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| product2(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1139,f331]) ).
fof(f1610,plain,
( ~ sQ53_spl
| ~ sQ25_spl
| ~ sQ59_spl
| ~ sQ5_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1609,f1596]) ).
fof(f1611,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1609,f107]) ).
fof(f1612,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1609,f105]) ).
fof(f1613,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1609,f103]) ).
fof(f1614,plain,
( ~ sQ53_spl
| ~ sQ25_spl
| ~ sQ59_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1610,f88]) ).
fof(f1615,plain,
( ~ sQ53_spl
| ~ sQ25_spl
| ~ sQ59_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1614]) ).
fof(f1616,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1437,f319]) ).
fof(f1617,plain,
( ~ sQ55_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1616,f86]) ).
fof(f1618,plain,
( ~ sQ55_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1617]) ).
fof(f1625,plain,
( ~ sQ53_spl
| ~ sQ26_spl
| product2(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f1340,f312]) ).
fof(f1626,plain,
( ~ sQ21_spl
| ~ sQ74_spl
| ~ sQ53_spl
| ~ sQ26_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1625,f1352]) ).
fof(f1627,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ26_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1625,f107]) ).
fof(f1628,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ26_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1625,f105]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ26_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1625,f103]) ).
fof(f1630,plain,
( ~ sQ21_spl
| ~ sQ74_spl
| ~ sQ53_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1626,f89]) ).
fof(f1631,plain,
( ~ sQ21_spl
| ~ sQ74_spl
| ~ sQ53_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1630]) ).
fof(f1635,plain,
( ~ sQ56_spl
| ~ sQ51_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f306,f1550]) ).
fof(f1636,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f306,f99]) ).
fof(f1637,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f306,f97]) ).
fof(f1638,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f306,f95]) ).
fof(f1639,plain,
! [X0] :
( ~ sQ51_spl
| product2(e_2,X0,e_5)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f306,f110]) ).
fof(f1640,plain,
( ~ sQ56_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1635,f92]) ).
fof(f1641,plain,
( ~ sQ56_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1640]) ).
fof(f1642,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_3)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f303,f99]) ).
fof(f1643,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_5)
| ~ product1(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f303,f97]) ).
fof(f1644,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product1(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f303,f95]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ50_spl
| product2(e_1,X0,e_5)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f303,f110]) ).
fof(f1646,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f464,f99]) ).
fof(f1647,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f464,f97]) ).
fof(f1648,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f464,f95]) ).
fof(f1649,plain,
! [X0] :
( ~ sQ99_spl
| product2(e_5,X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f464,f110]) ).
fof(f1650,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f461,f99]) ).
fof(f1651,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f461,f97]) ).
fof(f1652,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f461,f95]) ).
fof(f1653,plain,
! [X0] :
( ~ sQ98_spl
| product2(e_4,X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f461,f110]) ).
fof(f1654,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f458,f99]) ).
fof(f1655,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f458,f97]) ).
fof(f1656,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f458,f95]) ).
fof(f1657,plain,
! [X0] :
( ~ sQ97_spl
| product2(e_3,X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f458,f110]) ).
fof(f1658,plain,
( ~ sQ96_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f455,f115]) ).
fof(f1659,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f455,f99]) ).
fof(f1660,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f455,f97]) ).
fof(f1661,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f455,f95]) ).
fof(f1662,plain,
! [X0] :
( ~ sQ96_spl
| product2(e_2,X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f455,f110]) ).
fof(f1663,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1658,f73]) ).
fof(f1664,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f1663]) ).
fof(f1665,plain,
( ~ sQ95_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f452,f116]) ).
fof(f1666,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_2)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f452,f99]) ).
fof(f1667,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f452,f97]) ).
fof(f1668,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f452,f95]) ).
fof(f1669,plain,
( ~ sQ95_spl
| product2(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f452,f111]) ).
fof(f1670,plain,
! [X0] :
( ~ sQ95_spl
| product2(e_1,X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f452,f110]) ).
fof(f1671,plain,
( ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1665,f77]) ).
fof(f1672,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1671]) ).
fof(f1673,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f448,f99]) ).
fof(f1674,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f448,f97]) ).
fof(f1675,plain,
( ~ sQ94_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f448,f113]) ).
fof(f1676,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f448,f95]) ).
fof(f1677,plain,
! [X0] :
( ~ sQ94_spl
| product2(e_5,X0,e_2)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f448,f110]) ).
fof(f1678,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1675,f90]) ).
fof(f1679,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f1678]) ).
fof(f1680,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f445,f99]) ).
fof(f1681,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f445,f97]) ).
fof(f1682,plain,
( ~ sQ93_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f445,f113]) ).
fof(f1683,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f445,f95]) ).
fof(f1684,plain,
! [X0] :
( ~ sQ93_spl
| product2(e_4,X0,e_2)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f445,f110]) ).
fof(f1685,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1682,f86]) ).
fof(f1686,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f1685]) ).
fof(f1701,plain,
( ~ sQ99_spl
| ~ sQ22_spl
| product2(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1003,f464]) ).
fof(f1702,plain,
( ~ sQ98_spl
| ~ sQ46_spl
| product2(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f1184,f461]) ).
fof(f1706,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1702,f107]) ).
fof(f1707,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1702,f105]) ).
fof(f1708,plain,
( ~ sQ98_spl
| ~ sQ46_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1702,f979]) ).
fof(f1709,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ46_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1702,f103]) ).
fof(f1710,plain,
( ~ sQ98_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1708,f73]) ).
fof(f1711,plain,
( ~ sQ98_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1710]) ).
fof(f1713,plain,
( ~ sQ99_spl
| ~ sQ23_spl
| product2(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f995,f464]) ).
fof(f1714,plain,
( ~ sQ97_spl
| ~ sQ71_spl
| product2(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f1400,f458]) ).
fof(f1715,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ23_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1713,f107]) ).
fof(f1716,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ23_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1713,f105]) ).
fof(f1717,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ23_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1713,f103]) ).
fof(f1718,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ71_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1714,f107]) ).
fof(f1719,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ71_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1714,f105]) ).
fof(f1720,plain,
( ~ sQ97_spl
| ~ sQ71_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1714,f979]) ).
fof(f1721,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ71_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1714,f103]) ).
fof(f1722,plain,
( ~ sQ97_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1720,f73]) ).
fof(f1723,plain,
( ~ sQ97_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1722]) ).
fof(f1737,plain,
( ~ sQ50_spl
| ~ sQ65_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1437,f303]) ).
fof(f1738,plain,
( ~ sQ50_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1737,f90]) ).
fof(f1739,plain,
( ~ sQ50_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1738]) ).
fof(f1743,plain,
( ~ sQ99_spl
| ~ sQ21_spl
| product2(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f1009,f464]) ).
fof(f1747,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ21_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1743,f107]) ).
fof(f1748,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ21_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1743,f105]) ).
fof(f1749,plain,
( ~ sQ99_spl
| ~ sQ21_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1743,f979]) ).
fof(f1750,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ21_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1743,f103]) ).
fof(f1751,plain,
( ~ sQ99_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1749,f73]) ).
fof(f1752,plain,
( ~ sQ99_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1751]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1701,f107]) ).
fof(f1754,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ22_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1701,f105]) ).
fof(f1755,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ22_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1701,f103]) ).
fof(f1766,plain,
( ~ sQ99_spl
| ~ sQ49_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1149,f464]) ).
fof(f1767,plain,
( ~ sQ99_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1766,f79]) ).
fof(f1768,plain,
( ~ sQ99_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1767]) ).
fof(f1769,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f442,f99]) ).
fof(f1770,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f442,f97]) ).
fof(f1771,plain,
( ~ sQ92_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f442,f113]) ).
fof(f1772,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f442,f95]) ).
fof(f1773,plain,
! [X0] :
( ~ sQ92_spl
| product2(e_3,X0,e_2)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f442,f110]) ).
fof(f1774,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1771,f82]) ).
fof(f1775,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f1774]) ).
fof(f1776,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f436,f99]) ).
fof(f1777,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f436,f97]) ).
fof(f1778,plain,
( ~ sQ90_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f436,f113]) ).
fof(f1779,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f436,f95]) ).
fof(f1780,plain,
! [X0] :
( ~ sQ90_spl
| product2(e_1,X0,e_2)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f436,f110]) ).
fof(f1781,plain,
( ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1778,f73]) ).
fof(f1782,plain,
~ sQ90_spl,
inference(contradiction_clause,[status(thm)],[f1781]) ).
fof(f1783,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f432,f1647]) ).
fof(f1784,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f432,f99]) ).
fof(f1785,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f432,f97]) ).
fof(f1786,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f432,f95]) ).
fof(f1787,plain,
! [X0] :
( ~ sQ89_spl
| product2(e_5,X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f432,f110]) ).
fof(f1788,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1783,f81]) ).
fof(f1789,plain,
( ~ sQ99_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1788]) ).
fof(f1790,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f429,f99]) ).
fof(f1791,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f429,f97]) ).
fof(f1792,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f429,f95]) ).
fof(f1793,plain,
! [X0] :
( ~ sQ88_spl
| product2(e_4,X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f429,f110]) ).
fof(f1794,plain,
( ~ sQ87_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f426,f116]) ).
fof(f1795,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f426,f99]) ).
fof(f1796,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f426,f97]) ).
fof(f1797,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f426,f95]) ).
fof(f1798,plain,
( ~ sQ87_spl
| product2(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f426,f111]) ).
fof(f1799,plain,
! [X0] :
( ~ sQ87_spl
| product2(e_3,X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f426,f110]) ).
fof(f1800,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1794,f78]) ).
fof(f1801,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f1800]) ).
fof(f1802,plain,
( ~ sQ86_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f423,f115]) ).
fof(f1803,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f423,f99]) ).
fof(f1804,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f423,f97]) ).
fof(f1805,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f423,f95]) ).
fof(f1806,plain,
! [X0] :
( ~ sQ86_spl
| product2(e_2,X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f423,f110]) ).
fof(f1807,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1802,f82]) ).
fof(f1808,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f1807]) ).
fof(f1809,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_2)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f420,f99]) ).
fof(f1810,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f420,f97]) ).
fof(f1811,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f420,f95]) ).
fof(f1812,plain,
! [X0] :
( ~ sQ85_spl
| product2(e_1,X0,e_3)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f420,f110]) ).
fof(f1813,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f416,f99]) ).
fof(f1814,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f416,f97]) ).
fof(f1815,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f416,f95]) ).
fof(f1816,plain,
! [X0] :
( ~ sQ84_spl
| product2(e_5,X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f416,f110]) ).
fof(f1817,plain,
( ~ sQ83_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f413,f116]) ).
fof(f1818,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f413,f99]) ).
fof(f1819,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f413,f97]) ).
fof(f1820,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f413,f95]) ).
fof(f1821,plain,
( ~ sQ83_spl
| product2(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f413,f111]) ).
fof(f1822,plain,
! [X0] :
( ~ sQ83_spl
| product2(e_4,X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f413,f110]) ).
fof(f1823,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1817,f79]) ).
fof(f1824,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f1823]) ).
fof(f1837,plain,
( ~ sQ84_spl
| ~ sQ6_spl
| product2(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f1114,f416]) ).
fof(f1838,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ6_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1837,f107]) ).
fof(f1839,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ6_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1837,f105]) ).
fof(f1840,plain,
( ~ sQ84_spl
| ~ sQ6_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1837,f979]) ).
fof(f1841,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ6_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1837,f103]) ).
fof(f1842,plain,
( ~ sQ84_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1840,f86]) ).
fof(f1843,plain,
( ~ sQ84_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1842]) ).
fof(f1856,plain,
( ~ sQ88_spl
| ~ sQ35_spl
| product2(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1283,f429]) ).
fof(f1865,plain,
( ~ sQ85_spl
| ~ sQ88_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1792,f420]) ).
fof(f1867,plain,
( ~ sQ85_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1865,f75]) ).
fof(f1868,plain,
( ~ sQ85_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f1867]) ).
fof(f1869,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f410,f99]) ).
fof(f1870,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f410,f97]) ).
fof(f1871,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f410,f95]) ).
fof(f1872,plain,
! [X0] :
( ~ sQ82_spl
| product2(e_3,X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f410,f110]) ).
fof(f1873,plain,
( ~ sQ81_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f407,f115]) ).
fof(f1874,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f407,f99]) ).
fof(f1875,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f407,f97]) ).
fof(f1876,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f407,f95]) ).
fof(f1877,plain,
! [X0] :
( ~ sQ81_spl
| product2(e_2,X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f407,f110]) ).
fof(f1878,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1873,f86]) ).
fof(f1879,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f1878]) ).
fof(f1880,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_2)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f404,f99]) ).
fof(f1881,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f404,f97]) ).
fof(f1882,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f404,f95]) ).
fof(f1883,plain,
! [X0] :
( ~ sQ80_spl
| product2(e_1,X0,e_4)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f404,f110]) ).
fof(f1884,plain,
( ~ sQ79_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f400,f116]) ).
fof(f1885,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f400,f99]) ).
fof(f1886,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f400,f97]) ).
fof(f1887,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f400,f95]) ).
fof(f1888,plain,
( ~ sQ79_spl
| product2(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f400,f111]) ).
fof(f1889,plain,
! [X0] :
( ~ sQ79_spl
| product2(e_5,X0,e_5)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f400,f110]) ).
fof(f1890,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1884,f80]) ).
fof(f1891,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f1890]) ).
fof(f1892,plain,
( ~ sQ53_spl
| ~ sQ78_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f397,f1565]) ).
fof(f1893,plain,
( ~ sQ25_spl
| ~ sQ78_spl
| product2(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f397,f1344]) ).
fof(f1894,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f397,f99]) ).
fof(f1895,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f397,f97]) ).
fof(f1896,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f397,f95]) ).
fof(f1897,plain,
! [X0] :
( ~ sQ78_spl
| product2(e_4,X0,e_5)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f397,f110]) ).
fof(f1898,plain,
( ~ sQ53_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1892,f78]) ).
fof(f1899,plain,
( ~ sQ53_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1898]) ).
fof(f1900,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f394,f99]) ).
fof(f1901,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f394,f97]) ).
fof(f1902,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f394,f95]) ).
fof(f1903,plain,
! [X0] :
( ~ sQ77_spl
| product2(e_3,X0,e_5)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f394,f110]) ).
fof(f1904,plain,
( ~ sQ76_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f391,f115]) ).
fof(f1905,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f391,f99]) ).
fof(f1906,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f391,f97]) ).
fof(f1907,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f391,f95]) ).
fof(f1908,plain,
! [X0] :
( ~ sQ76_spl
| product2(e_2,X0,e_5)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f391,f110]) ).
fof(f1909,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1904,f90]) ).
fof(f1910,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f1909]) ).
fof(f1911,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_2)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f388,f99]) ).
fof(f1912,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_5)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f388,f97]) ).
fof(f1913,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product1(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f388,f95]) ).
fof(f1914,plain,
! [X0] :
( ~ sQ75_spl
| product2(e_1,X0,e_5)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f388,f110]) ).
fof(f1915,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f549,f99]) ).
fof(f1916,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f549,f97]) ).
fof(f1917,plain,
( ~ sQ124_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f549,f113]) ).
fof(f1918,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f549,f95]) ).
fof(f1919,plain,
! [X0] :
( ~ sQ124_spl
| product2(e_5,X0,e_1)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f549,f110]) ).
fof(f1920,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1917,f89]) ).
fof(f1921,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f1920]) ).
fof(f1934,plain,
( ~ sQ77_spl
| ~ sQ50_spl
| product2(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f1645,f394]) ).
fof(f1935,plain,
( ~ sQ82_spl
| ~ sQ55_spl
| product2(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1556,f410]) ).
fof(f1936,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ50_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1934,f107]) ).
fof(f1937,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ50_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1934,f105]) ).
fof(f1938,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ50_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1934,f103]) ).
fof(f1944,plain,
( ~ sQ82_spl
| ~ sQ55_spl
| ~ sQ77_spl
| ~ sQ50_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1938,f1935]) ).
fof(f1946,plain,
( ~ sQ82_spl
| ~ sQ55_spl
| ~ sQ77_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1944,f88]) ).
fof(f1947,plain,
( ~ sQ82_spl
| ~ sQ55_spl
| ~ sQ77_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1946]) ).
fof(f1949,plain,
( ~ sQ75_spl
| ~ sQ85_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1810,f388]) ).
fof(f1950,plain,
( ~ sQ80_spl
| ~ sQ85_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1810,f404]) ).
fof(f1952,plain,
( ~ sQ75_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1949,f91]) ).
fof(f1953,plain,
( ~ sQ75_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1952]) ).
fof(f1955,plain,
( ~ sQ75_spl
| ~ sQ80_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1881,f388]) ).
fof(f1957,plain,
( ~ sQ75_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1955,f92]) ).
fof(f1958,plain,
( ~ sQ75_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1957]) ).
fof(f1966,plain,
( ~ sQ49_spl
| ~ sQ123_spl
| product2(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f546,f1152]) ).
fof(f1967,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f546,f99]) ).
fof(f1968,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f546,f97]) ).
fof(f1969,plain,
( ~ sQ123_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f546,f113]) ).
fof(f1970,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f546,f95]) ).
fof(f1971,plain,
! [X0] :
( ~ sQ123_spl
| product2(e_4,X0,e_1)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f546,f110]) ).
fof(f1972,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1969,f85]) ).
fof(f1973,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f1972]) ).
fof(f1974,plain,
( ~ sQ74_spl
| ~ sQ122_spl
| product2(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f543,f1349]) ).
fof(f1975,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f543,f99]) ).
fof(f1976,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f543,f97]) ).
fof(f1977,plain,
( ~ sQ122_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f543,f113]) ).
fof(f1978,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f543,f95]) ).
fof(f1979,plain,
! [X0] :
( ~ sQ122_spl
| product2(e_3,X0,e_1)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f543,f110]) ).
fof(f1980,plain,
( ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1977,f81]) ).
fof(f1981,plain,
~ sQ122_spl,
inference(contradiction_clause,[status(thm)],[f1980]) ).
fof(f1983,plain,
( ~ sQ97_spl
| ~ sQ121_spl
| product2(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f540,f1657]) ).
fof(f1984,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f540,f99]) ).
fof(f1985,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f540,f97]) ).
fof(f1986,plain,
( ~ sQ121_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f540,f113]) ).
fof(f1987,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f540,f95]) ).
fof(f1988,plain,
! [X0] :
( ~ sQ121_spl
| product2(e_2,X0,e_1)
| ~ product1(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f540,f110]) ).
fof(f1991,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1986,f77]) ).
fof(f1992,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f1991]) ).
fof(f1993,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f533,f99]) ).
fof(f1994,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f533,f97]) ).
fof(f1995,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f533,f95]) ).
fof(f1996,plain,
! [X0] :
( ~ sQ119_spl
| product2(e_5,X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f533,f110]) ).
fof(f1997,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f530,f99]) ).
fof(f1998,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f530,f97]) ).
fof(f1999,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f530,f95]) ).
fof(f2000,plain,
! [X0] :
( ~ sQ118_spl
| product2(e_4,X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f530,f110]) ).
fof(f2001,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f527,f99]) ).
fof(f2002,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f527,f97]) ).
fof(f2003,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f527,f95]) ).
fof(f2004,plain,
! [X0] :
( ~ sQ117_spl
| product2(e_3,X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f527,f110]) ).
fof(f2005,plain,
( ~ sQ116_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f524,f116]) ).
fof(f2006,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f524,f99]) ).
fof(f2007,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f524,f97]) ).
fof(f2008,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f524,f95]) ).
fof(f2009,plain,
( ~ sQ116_spl
| product2(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f524,f111]) ).
fof(f2010,plain,
! [X0] :
( ~ sQ116_spl
| product2(e_2,X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f524,f110]) ).
fof(f2011,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2005,f73]) ).
fof(f2012,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f2011]) ).
fof(f2013,plain,
( ~ sQ115_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f521,f115]) ).
fof(f2014,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f521,f99]) ).
fof(f2015,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_2)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f521,f97]) ).
fof(f2016,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f521,f95]) ).
fof(f2017,plain,
! [X0] :
( ~ sQ115_spl
| product2(e_1,X0,e_2)
| ~ product1(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f521,f110]) ).
fof(f2018,plain,
( ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2013,f77]) ).
fof(f2019,plain,
~ sQ115_spl,
inference(contradiction_clause,[status(thm)],[f2018]) ).
fof(f2020,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f517,f99]) ).
fof(f2021,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f517,f97]) ).
fof(f2022,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f517,f95]) ).
fof(f2023,plain,
! [X0] :
( ~ sQ114_spl
| product2(e_5,X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f517,f110]) ).
fof(f2024,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1148,f107]) ).
fof(f2025,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1148,f105]) ).
fof(f2036,plain,
( ~ sQ119_spl
| ~ sQ15_spl
| product2(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f1057,f533]) ).
fof(f2037,plain,
( ~ sQ117_spl
| ~ sQ65_spl
| product2(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f1439,f527]) ).
fof(f2038,plain,
( ~ sQ118_spl
| ~ sQ42_spl
| product2(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1211,f530]) ).
fof(f2039,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ15_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2036,f107]) ).
fof(f2040,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ15_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2036,f105]) ).
fof(f2041,plain,
( ~ sQ119_spl
| ~ sQ15_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2036,f979]) ).
fof(f2042,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ15_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f2036,f103]) ).
fof(f2043,plain,
( ~ sQ119_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2041,f77]) ).
fof(f2044,plain,
( ~ sQ119_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2043]) ).
fof(f2045,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ65_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2037,f107]) ).
fof(f2046,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ65_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2037,f105]) ).
fof(f2047,plain,
( ~ sQ117_spl
| ~ sQ65_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2037,f979]) ).
fof(f2048,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ65_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f2037,f103]) ).
fof(f2049,plain,
( ~ sQ117_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2047,f77]) ).
fof(f2050,plain,
( ~ sQ117_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f2049]) ).
fof(f2053,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1345,f103]) ).
fof(f2054,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ40_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1467,f107]) ).
fof(f2055,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1467,f105]) ).
fof(f2069,plain,
( ~ sQ118_spl
| ~ sQ40_spl
| product2(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f1225,f530]) ).
fof(f2070,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| ~ sQ118_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2069,f1470]) ).
fof(f2071,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ40_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2069,f107]) ).
fof(f2072,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ40_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2069,f105]) ).
fof(f2073,plain,
( ~ sQ118_spl
| ~ sQ40_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2069,f979]) ).
fof(f2074,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ40_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f2069,f103]) ).
fof(f2075,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2070,f74]) ).
fof(f2076,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f2075]) ).
fof(f2079,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ49_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1148,f103]) ).
fof(f2080,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2038,f107]) ).
fof(f2082,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2038,f103]) ).
fof(f2105,plain,
( ~ sQ114_spl
| ~ sQ11_spl
| product2(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1084,f517]) ).
fof(f2106,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2105,f107]) ).
fof(f2107,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ11_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2105,f105]) ).
fof(f2108,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ11_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2105,f103]) ).
fof(f2109,plain,
( ~ sQ88_spl
| ~ sQ113_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f514,f1790]) ).
fof(f2110,plain,
( ~ sQ35_spl
| ~ sQ113_spl
| product2(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f514,f1283]) ).
fof(f2111,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f514,f99]) ).
fof(f2112,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f514,f97]) ).
fof(f2113,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f514,f95]) ).
fof(f2114,plain,
! [X0] :
( ~ sQ113_spl
| product2(e_4,X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f514,f110]) ).
fof(f2115,plain,
( ~ sQ88_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2109,f73]) ).
fof(f2116,plain,
( ~ sQ88_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f2115]) ).
fof(f2117,plain,
( ~ sQ80_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1950,f87]) ).
fof(f2118,plain,
( ~ sQ80_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f2117]) ).
fof(f2119,plain,
( ~ sQ112_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f511,f116]) ).
fof(f2120,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f511,f99]) ).
fof(f2121,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f511,f97]) ).
fof(f2122,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f511,f95]) ).
fof(f2123,plain,
( ~ sQ112_spl
| product2(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f511,f111]) ).
fof(f2124,plain,
! [X0] :
( ~ sQ112_spl
| product2(e_3,X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f511,f110]) ).
fof(f2125,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2119,f74]) ).
fof(f2126,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f2125]) ).
fof(f2127,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f508,f99]) ).
fof(f2128,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f508,f97]) ).
fof(f2129,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f508,f95]) ).
fof(f2130,plain,
! [X0] :
( ~ sQ111_spl
| product2(e_2,X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f508,f110]) ).
fof(f2131,plain,
( ~ sQ114_spl
| ~ sQ110_spl
| product2(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f505,f2023]) ).
fof(f2132,plain,
( ~ sQ110_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f505,f115]) ).
fof(f2133,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f505,f99]) ).
fof(f2134,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_3)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f505,f97]) ).
fof(f2135,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f505,f95]) ).
fof(f2136,plain,
! [X0] :
( ~ sQ110_spl
| product2(e_1,X0,e_3)
| ~ product1(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f505,f110]) ).
fof(f2137,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2132,f81]) ).
fof(f2138,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f2137]) ).
fof(f2139,plain,
( ~ sQ5_spl
| ~ sQ109_spl
| product2(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f501,f1139]) ).
fof(f2140,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f501,f99]) ).
fof(f2141,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f501,f97]) ).
fof(f2142,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f501,f95]) ).
fof(f2143,plain,
! [X0] :
( ~ sQ109_spl
| product2(e_5,X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f501,f110]) ).
fof(f2144,plain,
( ~ sQ108_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f498,f116]) ).
fof(f2145,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f498,f99]) ).
fof(f2146,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f498,f97]) ).
fof(f2147,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f498,f95]) ).
fof(f2148,plain,
( ~ sQ108_spl
| product2(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f498,f111]) ).
fof(f2149,plain,
! [X0] :
( ~ sQ108_spl
| product2(e_4,X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f498,f110]) ).
fof(f2150,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2144,f75]) ).
fof(f2151,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f2150]) ).
fof(f2152,plain,
( ~ sQ59_spl
| ~ sQ107_spl
| product2(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f495,f1533]) ).
fof(f2153,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f495,f99]) ).
fof(f2154,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f495,f97]) ).
fof(f2155,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f495,f95]) ).
fof(f2156,plain,
! [X0] :
( ~ sQ107_spl
| product2(e_3,X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f495,f110]) ).
fof(f2157,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f492,f99]) ).
fof(f2158,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f492,f97]) ).
fof(f2159,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f492,f95]) ).
fof(f2160,plain,
! [X0] :
( ~ sQ106_spl
| product2(e_2,X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f492,f110]) ).
fof(f2161,plain,
( ~ sQ105_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f489,f115]) ).
fof(f2162,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f489,f99]) ).
fof(f2163,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f489,f97]) ).
fof(f2164,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f489,f95]) ).
fof(f2165,plain,
! [X0] :
( ~ sQ105_spl
| product2(e_1,X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f489,f110]) ).
fof(f2166,plain,
( ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2161,f85]) ).
fof(f2167,plain,
~ sQ105_spl,
inference(contradiction_clause,[status(thm)],[f2166]) ).
fof(f2171,plain,
( ~ sQ53_spl
| ~ sQ26_spl
| ~ sQ46_spl
| ~ sQ73_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1372,f1629]) ).
fof(f2175,plain,
( ~ sQ53_spl
| ~ sQ26_spl
| ~ sQ46_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2171,f76]) ).
fof(f2176,plain,
( ~ sQ53_spl
| ~ sQ26_spl
| ~ sQ46_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f2175]) ).
fof(f2177,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ35_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1856,f107]) ).
fof(f2178,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ35_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1856,f105]) ).
fof(f2179,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ35_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1856,f103]) ).
fof(f2181,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ109_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2139,f107]) ).
fof(f2182,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ109_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2139,f105]) ).
fof(f2183,plain,
( ~ sQ5_spl
| ~ sQ109_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2139,f979]) ).
fof(f2184,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ109_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f2139,f103]) ).
fof(f2187,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ107_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2152,f107]) ).
fof(f2188,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ107_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f2152,f105]) ).
fof(f2189,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ107_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2152,f103]) ).
fof(f2193,plain,
( ~ sQ118_spl
| ~ sQ44_spl
| product2(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f1199,f530]) ).
fof(f2194,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2193,f107]) ).
fof(f2195,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ44_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f2193,f105]) ).
fof(f2196,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ44_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f2193,f103]) ).
fof(f2206,plain,
( ~ sQ111_spl
| ~ sQ88_spl
| product2(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f1793,f508]) ).
fof(f2207,plain,
( ~ sQ106_spl
| ~ sQ82_spl
| product2(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1872,f492]) ).
fof(f2208,plain,
( ~ sQ114_spl
| ~ sQ11_spl
| ~ sQ111_spl
| ~ sQ88_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2206,f2106]) ).
fof(f2209,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ88_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2206,f107]) ).
fof(f2210,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ88_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f2206,f105]) ).
fof(f2211,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ88_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2206,f103]) ).
fof(f2212,plain,
( ~ sQ114_spl
| ~ sQ11_spl
| ~ sQ111_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2208,f86]) ).
fof(f2213,plain,
( ~ sQ114_spl
| ~ sQ11_spl
| ~ sQ111_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f2212]) ).
fof(f2214,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ82_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2207,f107]) ).
fof(f2215,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ82_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2207,f105]) ).
fof(f2216,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ82_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2207,f103]) ).
fof(f2237,plain,
( ~ sQ104_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f485,f116]) ).
fof(f2238,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f485,f99]) ).
fof(f2239,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f485,f97]) ).
fof(f2240,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f485,f95]) ).
fof(f2241,plain,
( ~ sQ104_spl
| product2(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f485,f111]) ).
fof(f2242,plain,
! [X0] :
( ~ sQ104_spl
| product2(e_5,X0,e_5)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f485,f110]) ).
fof(f2245,plain,
( ~ sQ118_spl
| ~ sQ103_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f482,f1998]) ).
fof(f2246,plain,
( ~ sQ53_spl
| ~ sQ103_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f482,f1565]) ).
fof(f2247,plain,
( ~ sQ26_spl
| ~ sQ103_spl
| product2(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f482,f1340]) ).
fof(f2248,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f482,f99]) ).
fof(f2249,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f482,f97]) ).
fof(f2250,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_4)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f482,f95]) ).
fof(f2251,plain,
! [X0] :
( ~ sQ103_spl
| product2(e_4,X0,e_5)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f482,f110]) ).
fof(f2252,plain,
( ~ sQ118_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2245,f90]) ).
fof(f2253,plain,
( ~ sQ118_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f2252]) ).
fof(f2254,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f479,f99]) ).
fof(f2255,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f479,f97]) ).
fof(f2256,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_3)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f479,f95]) ).
fof(f2257,plain,
! [X0] :
( ~ sQ102_spl
| product2(e_3,X0,e_5)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f479,f110]) ).
fof(f2258,plain,
( ~ sQ26_spl
| ~ sQ101_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f476,f1337]) ).
fof(f2259,plain,
( ~ sQ77_spl
| ~ sQ101_spl
| product2(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f476,f1903]) ).
fof(f2260,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f476,f99]) ).
fof(f2261,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f476,f97]) ).
fof(f2262,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f476,f95]) ).
fof(f2263,plain,
! [X0] :
( ~ sQ101_spl
| product2(e_2,X0,e_5)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f476,f110]) ).
fof(f2264,plain,
( ~ sQ26_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2258,f75]) ).
fof(f2265,plain,
( ~ sQ26_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f2264]) ).
fof(f2266,plain,
( ~ sQ100_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f473,f115]) ).
fof(f2267,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f473,f99]) ).
fof(f2268,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product1(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f473,f97]) ).
fof(f2269,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product1(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f473,f95]) ).
fof(f2270,plain,
! [X0] :
( ~ sQ100_spl
| product2(e_1,X0,e_5)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f473,f110]) ).
fof(f2271,plain,
( ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2266,f89]) ).
fof(f2272,plain,
~ sQ100_spl,
inference(contradiction_clause,[status(thm)],[f2271]) ).
fof(f2273,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f634,f107]) ).
fof(f2274,plain,
( ~ sQ149_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f634,f981]) ).
fof(f2275,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f634,f105]) ).
fof(f2276,plain,
! [X0] :
( ~ sQ149_spl
| equalish(X0,e_5)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f634,f103]) ).
fof(f2277,plain,
( ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2274,f76]) ).
fof(f2278,plain,
~ sQ149_spl,
inference(contradiction_clause,[status(thm)],[f2277]) ).
fof(f2279,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f631,f107]) ).
fof(f2280,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f631,f105]) ).
fof(f2281,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f631,f103]) ).
fof(f2282,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f628,f107]) ).
fof(f2283,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f628,f105]) ).
fof(f2284,plain,
! [X0] :
( ~ sQ147_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f628,f103]) ).
fof(f2285,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f625,f107]) ).
fof(f2286,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f625,f105]) ).
fof(f2287,plain,
! [X0] :
( ~ sQ146_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f625,f103]) ).
fof(f2292,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ25_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1593,f105]) ).
fof(f2293,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ25_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1593,f103]) ).
fof(f2310,plain,
( ~ sQ146_spl
| ~ sQ118_spl
| ~ sQ42_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2080,f625]) ).
fof(f2311,plain,
( ~ sQ146_spl
| ~ sQ118_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2310,f91]) ).
fof(f2312,plain,
( ~ sQ146_spl
| ~ sQ118_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f2311]) ).
fof(f2314,plain,
( ~ sQ106_spl
| ~ sQ82_spl
| ~ sQ118_spl
| ~ sQ42_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2082,f2207]) ).
fof(f2316,plain,
( ~ sQ106_spl
| ~ sQ82_spl
| ~ sQ118_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2314,f86]) ).
fof(f2317,plain,
( ~ sQ106_spl
| ~ sQ82_spl
| ~ sQ118_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f2316]) ).
fof(f2318,plain,
( ~ sQ118_spl
| ~ sQ42_spl
| ~ sQ77_spl
| ~ sQ101_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2259,f2082]) ).
fof(f2319,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ101_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2259,f107]) ).
fof(f2320,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ101_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f2259,f105]) ).
fof(f2321,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ101_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2259,f103]) ).
fof(f2322,plain,
( ~ sQ118_spl
| ~ sQ42_spl
| ~ sQ77_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2318,f90]) ).
fof(f2323,plain,
( ~ sQ118_spl
| ~ sQ42_spl
| ~ sQ77_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f2322]) ).
fof(f2330,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ78_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1893,f107]) ).
fof(f2331,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ78_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1893,f105]) ).
fof(f2332,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ78_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1893,f103]) ).
fof(f2341,plain,
( ~ sQ147_spl
| ~ sQ114_spl
| ~ sQ11_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2106,f628]) ).
fof(f2342,plain,
( ~ sQ147_spl
| ~ sQ114_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2341,f90]) ).
fof(f2343,plain,
( ~ sQ147_spl
| ~ sQ114_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2342]) ).
fof(f2349,plain,
( ~ sQ101_spl
| ~ sQ78_spl
| product2(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f1897,f476]) ).
fof(f2350,plain,
( ~ sQ102_spl
| ~ sQ51_spl
| product2(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f1639,f479]) ).
fof(f2352,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ78_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2349,f105]) ).
fof(f2353,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ78_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2349,f103]) ).
fof(f2354,plain,
( ~ sQ114_spl
| ~ sQ11_spl
| ~ sQ102_spl
| ~ sQ51_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2350,f2108]) ).
fof(f2355,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ51_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2350,f107]) ).
fof(f2356,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ51_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2350,f105]) ).
fof(f2357,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2350,f103]) ).
fof(f2358,plain,
( ~ sQ114_spl
| ~ sQ11_spl
| ~ sQ102_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2354,f91]) ).
fof(f2359,plain,
( ~ sQ114_spl
| ~ sQ11_spl
| ~ sQ102_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2358]) ).
fof(f2364,plain,
( ~ sQ145_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f622,f983]) ).
fof(f2365,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f622,f107]) ).
fof(f2366,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f622,f105]) ).
fof(f2367,plain,
! [X0] :
( ~ sQ145_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f622,f103]) ).
fof(f2368,plain,
( ~ sQ145_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2364,f89]) ).
fof(f2369,plain,
~ sQ145_spl,
inference(contradiction_clause,[status(thm)],[f2368]) ).
fof(f2371,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f618,f107]) ).
fof(f2372,plain,
( ~ sQ144_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f618,f981]) ).
fof(f2373,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f618,f105]) ).
fof(f2374,plain,
! [X0] :
( ~ sQ144_spl
| equalish(X0,e_5)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f618,f103]) ).
fof(f2377,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f615,f107]) ).
fof(f2378,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f615,f105]) ).
fof(f2379,plain,
! [X0] :
( ~ sQ143_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f615,f103]) ).
fof(f2380,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f612,f107]) ).
fof(f2381,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f612,f105]) ).
fof(f2382,plain,
! [X0] :
( ~ sQ142_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f612,f103]) ).
fof(f2383,plain,
( ~ sQ141_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f609,f983]) ).
fof(f2384,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f609,f107]) ).
fof(f2385,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f609,f105]) ).
fof(f2386,plain,
! [X0] :
( ~ sQ141_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f609,f103]) ).
fof(f2387,plain,
( ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2383,f90]) ).
fof(f2388,plain,
~ sQ141_spl,
inference(contradiction_clause,[status(thm)],[f2387]) ).
fof(f2389,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f606,f107]) ).
fof(f2390,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f606,f105]) ).
fof(f2391,plain,
! [X0] :
( ~ sQ140_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f606,f103]) ).
fof(f2392,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f602,f107]) ).
fof(f2393,plain,
( ~ sQ139_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f602,f981]) ).
fof(f2394,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f602,f105]) ).
fof(f2395,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_5)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f602,f103]) ).
fof(f2396,plain,
( ~ sQ139_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2393,f84]) ).
fof(f2397,plain,
~ sQ139_spl,
inference(contradiction_clause,[status(thm)],[f2396]) ).
fof(f2398,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ138_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f599,f1611]) ).
fof(f2399,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f599,f107]) ).
fof(f2400,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f599,f105]) ).
fof(f2401,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f599,f103]) ).
fof(f2402,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ138_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2398,f89]) ).
fof(f2403,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ138_spl ),
inference(contradiction_clause,[status(thm)],[f2402]) ).
fof(f2404,plain,
( ~ sQ137_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f596,f983]) ).
fof(f2405,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f596,f107]) ).
fof(f2406,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f596,f105]) ).
fof(f2407,plain,
! [X0] :
( ~ sQ137_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f596,f103]) ).
fof(f2408,plain,
( ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2404,f91]) ).
fof(f2409,plain,
~ sQ137_spl,
inference(contradiction_clause,[status(thm)],[f2408]) ).
fof(f2413,plain,
( ~ sQ143_spl
| ~ sQ148_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2280,f615]) ).
fof(f2415,plain,
( ~ sQ143_spl
| ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2413,f77]) ).
fof(f2416,plain,
( ~ sQ143_spl
| ~ sQ148_spl ),
inference(contradiction_clause,[status(thm)],[f2415]) ).
fof(f2425,plain,
( ~ sQ140_spl
| ~ sQ142_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2382,f606]) ).
fof(f2427,plain,
( ~ sQ140_spl
| ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2425,f74]) ).
fof(f2428,plain,
( ~ sQ140_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f2427]) ).
fof(f2432,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| ~ sQ136_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f593,f2054]) ).
fof(f2433,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f593,f107]) ).
fof(f2434,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f593,f105]) ).
fof(f2435,plain,
! [X0] :
( ~ sQ136_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f593,f103]) ).
fof(f2436,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2432,f89]) ).
fof(f2437,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| ~ sQ136_spl ),
inference(contradiction_clause,[status(thm)],[f2436]) ).
fof(f2438,plain,
( ~ sQ140_spl
| ~ sQ135_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f590,f2390]) ).
fof(f2439,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_5)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f590,f107]) ).
fof(f2440,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_3)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f590,f105]) ).
fof(f2441,plain,
! [X0] :
( ~ sQ135_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f590,f103]) ).
fof(f2442,plain,
( ~ sQ140_spl
| ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2438,f82]) ).
fof(f2443,plain,
( ~ sQ140_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f2442]) ).
fof(f2444,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f586,f107]) ).
fof(f2445,plain,
( ~ sQ134_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f586,f981]) ).
fof(f2446,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f586,f105]) ).
fof(f2447,plain,
! [X0] :
( ~ sQ134_spl
| equalish(X0,e_5)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f586,f103]) ).
fof(f2448,plain,
( ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2445,f88]) ).
fof(f2449,plain,
~ sQ134_spl,
inference(contradiction_clause,[status(thm)],[f2448]) ).
fof(f2450,plain,
( ~ sQ133_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f583,f983]) ).
fof(f2451,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f583,f107]) ).
fof(f2452,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f583,f105]) ).
fof(f2453,plain,
! [X0] :
( ~ sQ133_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f583,f103]) ).
fof(f2454,plain,
( ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2450,f92]) ).
fof(f2455,plain,
~ sQ133_spl,
inference(contradiction_clause,[status(thm)],[f2454]) ).
fof(f2456,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f580,f107]) ).
fof(f2457,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f580,f105]) ).
fof(f2458,plain,
! [X0] :
( ~ sQ132_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f580,f103]) ).
fof(f2459,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f577,f107]) ).
fof(f2460,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f577,f105]) ).
fof(f2461,plain,
! [X0] :
( ~ sQ131_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f577,f103]) ).
fof(f2462,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_5)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f574,f107]) ).
fof(f2463,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_4)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f574,f105]) ).
fof(f2464,plain,
! [X0] :
( ~ sQ130_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f574,f103]) ).
fof(f2465,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_5)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f567,f107]) ).
fof(f2466,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_5)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f567,f105]) ).
fof(f2467,plain,
( ~ sQ128_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f567,f979]) ).
fof(f2468,plain,
! [X0] :
( ~ sQ128_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f567,f103]) ).
fof(f2469,plain,
( ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2467,f88]) ).
fof(f2470,plain,
~ sQ128_spl,
inference(contradiction_clause,[status(thm)],[f2469]) ).
fof(f2471,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_5)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f564,f107]) ).
fof(f2472,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_5)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f564,f105]) ).
fof(f2473,plain,
( ~ sQ127_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f564,f979]) ).
fof(f2474,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f564,f103]) ).
fof(f2475,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2473,f84]) ).
fof(f2476,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f2475]) ).
fof(f2477,plain,
( ~ sQ131_spl
| ~ sQ146_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2286,f577]) ).
fof(f2478,plain,
( ~ sQ131_spl
| ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2477,f85]) ).
fof(f2479,plain,
( ~ sQ131_spl
| ~ sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f2478]) ).
fof(f2488,plain,
( ~ sQ130_spl
| ~ sQ22_spl
| ~ sQ49_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2024,f574]) ).
fof(f2489,plain,
( ~ sQ130_spl
| ~ sQ22_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2488,f91]) ).
fof(f2490,plain,
( ~ sQ130_spl
| ~ sQ22_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f2489]) ).
fof(f2491,plain,
( ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2237,f76]) ).
fof(f2492,plain,
~ sQ104_spl,
inference(contradiction_clause,[status(thm)],[f2491]) ).
fof(f2500,plain,
( ~ sQ132_spl
| ~ sQ142_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2381,f580]) ).
fof(f2501,plain,
( ~ sQ132_spl
| ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2500,f86]) ).
fof(f2502,plain,
( ~ sQ132_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f2501]) ).
fof(f2507,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_5)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f561,f107]) ).
fof(f2508,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_5)
| ~ product2(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f561,f105]) ).
fof(f2509,plain,
( ~ sQ126_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f561,f979]) ).
fof(f2510,plain,
! [X0] :
( ~ sQ126_spl
| equalish(X0,e_2)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f561,f103]) ).
fof(f2514,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_5)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f558,f107]) ).
fof(f2515,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_5)
| ~ product2(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f558,f105]) ).
fof(f2516,plain,
( ~ sQ125_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f558,f979]) ).
fof(f2517,plain,
! [X0] :
( ~ sQ125_spl
| equalish(X0,e_1)
| ~ product2(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f558,f103]) ).
fof(f2520,plain,
( ~ sQ59_spl
| ~ sQ107_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f2152,f630,f494,f330]) ).
fof(f2521,plain,
! [X0] :
( ~ sQ174_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f719,f107]) ).
fof(f2522,plain,
! [X0] :
( ~ sQ174_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f719,f105]) ).
fof(f2523,plain,
! [X0] :
( ~ sQ174_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f719,f103]) ).
fof(f2524,plain,
! [X0] :
( ~ sQ173_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f716,f107]) ).
fof(f2525,plain,
( ~ sQ173_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f716,f981]) ).
fof(f2526,plain,
! [X0] :
( ~ sQ173_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f716,f105]) ).
fof(f2527,plain,
! [X0] :
( ~ sQ173_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f716,f103]) ).
fof(f2528,plain,
( ~ sQ173_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2525,f75]) ).
fof(f2529,plain,
~ sQ173_spl,
inference(contradiction_clause,[status(thm)],[f2528]) ).
fof(f2530,plain,
! [X0] :
( ~ sQ172_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f713,f107]) ).
fof(f2531,plain,
! [X0] :
( ~ sQ172_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f713,f105]) ).
fof(f2532,plain,
! [X0] :
( ~ sQ172_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f713,f103]) ).
fof(f2533,plain,
! [X0] :
( ~ sQ171_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f710,f107]) ).
fof(f2534,plain,
! [X0] :
( ~ sQ171_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f710,f105]) ).
fof(f2535,plain,
! [X0] :
( ~ sQ171_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f710,f103]) ).
fof(f2536,plain,
( ~ sQ170_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f707,f983]) ).
fof(f2537,plain,
! [X0] :
( ~ sQ170_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f707,f107]) ).
fof(f2538,plain,
! [X0] :
( ~ sQ170_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f707,f105]) ).
fof(f2539,plain,
! [X0] :
( ~ sQ170_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f707,f103]) ).
fof(f2540,plain,
( ~ sQ170_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2536,f85]) ).
fof(f2541,plain,
~ sQ170_spl,
inference(contradiction_clause,[status(thm)],[f2540]) ).
fof(f2542,plain,
! [X0] :
( ~ sQ169_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f703,f107]) ).
fof(f2543,plain,
! [X0] :
( ~ sQ169_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f703,f105]) ).
fof(f2544,plain,
! [X0] :
( ~ sQ169_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f703,f103]) ).
fof(f2545,plain,
! [X0] :
( ~ sQ168_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f700,f107]) ).
fof(f2546,plain,
( ~ sQ168_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f700,f981]) ).
fof(f2547,plain,
! [X0] :
( ~ sQ168_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f700,f105]) ).
fof(f2548,plain,
! [X0] :
( ~ sQ168_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f700,f103]) ).
fof(f2549,plain,
( ~ sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2546,f79]) ).
fof(f2550,plain,
~ sQ168_spl,
inference(contradiction_clause,[status(thm)],[f2549]) ).
fof(f2564,plain,
( ~ sQ171_spl
| ~ sQ118_spl
| ~ sQ42_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2080,f710]) ).
fof(f2565,plain,
( ~ sQ171_spl
| ~ sQ118_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2564,f87]) ).
fof(f2566,plain,
( ~ sQ171_spl
| ~ sQ118_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f2565]) ).
fof(f2570,plain,
( ~ sQ169_spl
| ~ sQ101_spl
| ~ sQ78_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2352,f703]) ).
fof(f2572,plain,
( ~ sQ169_spl
| ~ sQ101_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2570,f77]) ).
fof(f2573,plain,
( ~ sQ169_spl
| ~ sQ101_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f2572]) ).
fof(f2574,plain,
( ~ sQ172_spl
| ~ sQ101_spl
| ~ sQ78_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2353,f713]) ).
fof(f2576,plain,
( ~ sQ172_spl
| ~ sQ101_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2574,f84]) ).
fof(f2577,plain,
( ~ sQ172_spl
| ~ sQ101_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f2576]) ).
fof(f2581,plain,
! [X0] :
( ~ sQ167_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f697,f107]) ).
fof(f2582,plain,
! [X0] :
( ~ sQ167_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f697,f105]) ).
fof(f2583,plain,
! [X0] :
( ~ sQ167_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f697,f103]) ).
fof(f2584,plain,
( ~ sQ166_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f694,f983]) ).
fof(f2585,plain,
! [X0] :
( ~ sQ166_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f694,f107]) ).
fof(f2586,plain,
! [X0] :
( ~ sQ166_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f694,f105]) ).
fof(f2587,plain,
! [X0] :
( ~ sQ166_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f694,f103]) ).
fof(f2588,plain,
( ~ sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2584,f86]) ).
fof(f2589,plain,
~ sQ166_spl,
inference(contradiction_clause,[status(thm)],[f2588]) ).
fof(f2590,plain,
! [X0] :
( ~ sQ165_spl
| equalish(X0,e_4)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f691,f107]) ).
fof(f2591,plain,
! [X0] :
( ~ sQ165_spl
| equalish(X0,e_2)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f691,f105]) ).
fof(f2592,plain,
! [X0] :
( ~ sQ165_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f691,f103]) ).
fof(f2593,plain,
( ~ sQ101_spl
| ~ sQ78_spl
| ~ sQ164_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f687,f2352]) ).
fof(f2594,plain,
! [X0] :
( ~ sQ164_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f687,f107]) ).
fof(f2595,plain,
! [X0] :
( ~ sQ164_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f687,f105]) ).
fof(f2596,plain,
! [X0] :
( ~ sQ164_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f687,f103]) ).
fof(f2597,plain,
( ~ sQ101_spl
| ~ sQ78_spl
| ~ sQ164_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2593,f81]) ).
fof(f2598,plain,
( ~ sQ101_spl
| ~ sQ78_spl
| ~ sQ164_spl ),
inference(contradiction_clause,[status(thm)],[f2597]) ).
fof(f2600,plain,
! [X0] :
( ~ sQ163_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f684,f107]) ).
fof(f2601,plain,
( ~ sQ163_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f684,f981]) ).
fof(f2602,plain,
! [X0] :
( ~ sQ163_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f684,f105]) ).
fof(f2603,plain,
! [X0] :
( ~ sQ163_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f684,f103]) ).
fof(f2606,plain,
( ~ sQ162_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f681,f983]) ).
fof(f2607,plain,
! [X0] :
( ~ sQ162_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f681,f107]) ).
fof(f2608,plain,
! [X0] :
( ~ sQ162_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f681,f105]) ).
fof(f2609,plain,
! [X0] :
( ~ sQ162_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f681,f103]) ).
fof(f2610,plain,
( ~ sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2606,f87]) ).
fof(f2611,plain,
~ sQ162_spl,
inference(contradiction_clause,[status(thm)],[f2610]) ).
fof(f2612,plain,
( ~ sQ136_spl
| ~ sQ161_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f678,f2433]) ).
fof(f2613,plain,
! [X0] :
( ~ sQ161_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f678,f107]) ).
fof(f2614,plain,
! [X0] :
( ~ sQ161_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f678,f105]) ).
fof(f2615,plain,
! [X0] :
( ~ sQ161_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f678,f103]) ).
fof(f2616,plain,
( ~ sQ136_spl
| ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2612,f88]) ).
fof(f2617,plain,
( ~ sQ136_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f2616]) ).
fof(f2618,plain,
! [X0] :
( ~ sQ160_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f675,f107]) ).
fof(f2619,plain,
! [X0] :
( ~ sQ160_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f675,f105]) ).
fof(f2620,plain,
! [X0] :
( ~ sQ160_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f675,f103]) ).
fof(f2622,plain,
! [X0] :
( ~ sQ159_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f671,f107]) ).
fof(f2623,plain,
! [X0] :
( ~ sQ159_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f671,f105]) ).
fof(f2624,plain,
( ~ sQ159_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f671,f979]) ).
fof(f2625,plain,
! [X0] :
( ~ sQ159_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f671,f103]) ).
fof(f2630,plain,
( ~ sQ165_spl
| ~ sQ167_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2583,f691]) ).
fof(f2632,plain,
( ~ sQ165_spl
| ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2630,f74]) ).
fof(f2633,plain,
( ~ sQ165_spl
| ~ sQ167_spl ),
inference(contradiction_clause,[status(thm)],[f2632]) ).
fof(f2635,plain,
( ~ sQ160_spl
| ~ sQ165_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2591,f675]) ).
fof(f2637,plain,
( ~ sQ160_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2635,f82]) ).
fof(f2638,plain,
( ~ sQ160_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f2637]) ).
fof(f2639,plain,
( ~ sQ160_spl
| ~ sQ135_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2439,f675]) ).
fof(f2640,plain,
( ~ sQ160_spl
| ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2639,f88]) ).
fof(f2641,plain,
( ~ sQ160_spl
| ~ sQ135_spl ),
inference(contradiction_clause,[status(thm)],[f2640]) ).
fof(f2646,plain,
! [X0] :
( ~ sQ157_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f665,f107]) ).
fof(f2647,plain,
! [X0] :
( ~ sQ157_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f665,f105]) ).
fof(f2648,plain,
( ~ sQ157_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f665,f979]) ).
fof(f2649,plain,
! [X0] :
( ~ sQ157_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f665,f103]) ).
fof(f2652,plain,
( ~ sQ118_spl
| ~ sQ44_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f2193,f624,f277,f529]) ).
fof(f2653,plain,
( ~ sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2601,f83]) ).
fof(f2654,plain,
~ sQ163_spl,
inference(contradiction_clause,[status(thm)],[f2653]) ).
fof(f2664,plain,
! [X0] :
( ~ sQ156_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f662,f107]) ).
fof(f2665,plain,
! [X0] :
( ~ sQ156_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f662,f105]) ).
fof(f2666,plain,
( ~ sQ156_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f662,f979]) ).
fof(f2667,plain,
! [X0] :
( ~ sQ156_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f662,f103]) ).
fof(f2668,plain,
( ~ sQ156_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2666,f79]) ).
fof(f2669,plain,
~ sQ156_spl,
inference(contradiction_clause,[status(thm)],[f2668]) ).
fof(f2670,plain,
! [X0] :
( ~ sQ155_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f659,f107]) ).
fof(f2671,plain,
! [X0] :
( ~ sQ155_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f659,f105]) ).
fof(f2672,plain,
( ~ sQ155_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f659,f979]) ).
fof(f2673,plain,
! [X0] :
( ~ sQ155_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f659,f103]) ).
fof(f2674,plain,
( ~ sQ155_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2672,f75]) ).
fof(f2675,plain,
~ sQ155_spl,
inference(contradiction_clause,[status(thm)],[f2674]) ).
fof(f2677,plain,
( ~ sQ154_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f655,f983]) ).
fof(f2678,plain,
! [X0] :
( ~ sQ154_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f655,f107]) ).
fof(f2679,plain,
! [X0] :
( ~ sQ154_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f655,f105]) ).
fof(f2680,plain,
! [X0] :
( ~ sQ154_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f655,f103]) ).
fof(f2683,plain,
! [X0] :
( ~ sQ153_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f652,f107]) ).
fof(f2684,plain,
( ~ sQ153_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f652,f981]) ).
fof(f2685,plain,
! [X0] :
( ~ sQ153_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f652,f105]) ).
fof(f2686,plain,
! [X0] :
( ~ sQ153_spl
| equalish(X0,e_4)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f652,f103]) ).
fof(f2687,plain,
( ~ sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2684,f92]) ).
fof(f2688,plain,
~ sQ153_spl,
inference(contradiction_clause,[status(thm)],[f2687]) ).
fof(f2689,plain,
! [X0] :
( ~ sQ152_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f649,f107]) ).
fof(f2690,plain,
! [X0] :
( ~ sQ152_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f649,f105]) ).
fof(f2691,plain,
! [X0] :
( ~ sQ152_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f649,f103]) ).
fof(f2692,plain,
! [X0] :
( ~ sQ151_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f646,f107]) ).
fof(f2693,plain,
! [X0] :
( ~ sQ151_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f646,f105]) ).
fof(f2694,plain,
! [X0] :
( ~ sQ151_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f646,f103]) ).
fof(f2695,plain,
! [X0] :
( ~ sQ150_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f643,f107]) ).
fof(f2696,plain,
! [X0] :
( ~ sQ150_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f643,f105]) ).
fof(f2697,plain,
! [X0] :
( ~ sQ150_spl
| equalish(X0,e_1)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f643,f103]) ).
fof(f2698,plain,
( ~ sQ174_spl
| ~ sQ199_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f804,f2521]) ).
fof(f2699,plain,
! [X0] :
( ~ sQ199_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f804,f107]) ).
fof(f2700,plain,
! [X0] :
( ~ sQ199_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f804,f105]) ).
fof(f2701,plain,
! [X0] :
( ~ sQ199_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f804,f103]) ).
fof(f2702,plain,
( ~ sQ174_spl
| ~ sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2698,f83]) ).
fof(f2703,plain,
( ~ sQ174_spl
| ~ sQ199_spl ),
inference(contradiction_clause,[status(thm)],[f2702]) ).
fof(f2704,plain,
! [X0] :
( ~ sQ198_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f801,f107]) ).
fof(f2705,plain,
! [X0] :
( ~ sQ198_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f801,f105]) ).
fof(f2706,plain,
! [X0] :
( ~ sQ198_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f801,f103]) ).
fof(f2707,plain,
( ~ sQ150_spl
| ~ sQ165_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2591,f643]) ).
fof(f2708,plain,
( ~ sQ150_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2707,f90]) ).
fof(f2709,plain,
( ~ sQ150_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f2708]) ).
fof(f2710,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| ~ sQ161_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2613,f1467]) ).
fof(f2711,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2710,f75]) ).
fof(f2712,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f2711]) ).
fof(f2715,plain,
( ~ sQ151_spl
| ~ sQ152_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2691,f646]) ).
fof(f2717,plain,
( ~ sQ151_spl
| ~ sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2715,f78]) ).
fof(f2718,plain,
( ~ sQ151_spl
| ~ sQ152_spl ),
inference(contradiction_clause,[status(thm)],[f2717]) ).
fof(f2722,plain,
( ~ sQ151_spl
| ~ sQ171_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2534,f646]) ).
fof(f2723,plain,
( ~ sQ151_spl
| ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2722,f89]) ).
fof(f2724,plain,
( ~ sQ151_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f2723]) ).
fof(f2727,plain,
! [X0] :
( ~ sQ197_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f798,f107]) ).
fof(f2728,plain,
( ~ sQ197_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f798,f981]) ).
fof(f2729,plain,
! [X0] :
( ~ sQ197_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f798,f105]) ).
fof(f2730,plain,
! [X0] :
( ~ sQ197_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f798,f103]) ).
fof(f2731,plain,
( ~ sQ197_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2728,f74]) ).
fof(f2732,plain,
~ sQ197_spl,
inference(contradiction_clause,[status(thm)],[f2731]) ).
fof(f2733,plain,
( ~ sQ146_spl
| ~ sQ196_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f795,f2285]) ).
fof(f2734,plain,
! [X0] :
( ~ sQ196_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f795,f107]) ).
fof(f2735,plain,
! [X0] :
( ~ sQ196_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f795,f105]) ).
fof(f2736,plain,
! [X0] :
( ~ sQ196_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f795,f103]) ).
fof(f2737,plain,
( ~ sQ146_spl
| ~ sQ196_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2733,f84]) ).
fof(f2738,plain,
( ~ sQ146_spl
| ~ sQ196_spl ),
inference(contradiction_clause,[status(thm)],[f2737]) ).
fof(f2739,plain,
( ~ sQ195_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f792,f983]) ).
fof(f2740,plain,
! [X0] :
( ~ sQ195_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f792,f107]) ).
fof(f2741,plain,
! [X0] :
( ~ sQ195_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f792,f105]) ).
fof(f2742,plain,
! [X0] :
( ~ sQ195_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f792,f103]) ).
fof(f2743,plain,
( ~ sQ195_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2739,f81]) ).
fof(f2744,plain,
~ sQ195_spl,
inference(contradiction_clause,[status(thm)],[f2743]) ).
fof(f2745,plain,
! [X0] :
( ~ sQ194_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f788,f107]) ).
fof(f2746,plain,
! [X0] :
( ~ sQ194_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f788,f105]) ).
fof(f2747,plain,
! [X0] :
( ~ sQ194_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f788,f103]) ).
fof(f2748,plain,
( ~ sQ198_spl
| ~ sQ193_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f785,f2705]) ).
fof(f2749,plain,
! [X0] :
( ~ sQ193_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f785,f107]) ).
fof(f2750,plain,
! [X0] :
( ~ sQ193_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f785,f105]) ).
fof(f2751,plain,
! [X0] :
( ~ sQ193_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f785,f103]) ).
fof(f2752,plain,
( ~ sQ198_spl
| ~ sQ193_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2748,f77]) ).
fof(f2753,plain,
( ~ sQ198_spl
| ~ sQ193_spl ),
inference(contradiction_clause,[status(thm)],[f2752]) ).
fof(f2754,plain,
! [X0] :
( ~ sQ192_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f782,f107]) ).
fof(f2755,plain,
( ~ sQ192_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f782,f981]) ).
fof(f2756,plain,
! [X0] :
( ~ sQ192_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f782,f105]) ).
fof(f2757,plain,
! [X0] :
( ~ sQ192_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f782,f103]) ).
fof(f2758,plain,
( ~ sQ192_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2755,f78]) ).
fof(f2759,plain,
~ sQ192_spl,
inference(contradiction_clause,[status(thm)],[f2758]) ).
fof(f2760,plain,
( ~ sQ191_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f779,f983]) ).
fof(f2761,plain,
! [X0] :
( ~ sQ191_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f779,f107]) ).
fof(f2762,plain,
! [X0] :
( ~ sQ191_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f779,f105]) ).
fof(f2763,plain,
! [X0] :
( ~ sQ191_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f779,f103]) ).
fof(f2764,plain,
( ~ sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2760,f82]) ).
fof(f2765,plain,
~ sQ191_spl,
inference(contradiction_clause,[status(thm)],[f2764]) ).
fof(f2766,plain,
! [X0] :
( ~ sQ190_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f776,f107]) ).
fof(f2767,plain,
! [X0] :
( ~ sQ190_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f776,f105]) ).
fof(f2768,plain,
! [X0] :
( ~ sQ190_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f776,f103]) ).
fof(f2769,plain,
! [X0] :
( ~ sQ189_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f772,f107]) ).
fof(f2770,plain,
! [X0] :
( ~ sQ189_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f772,f105]) ).
fof(f2771,plain,
( ~ sQ189_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f772,f979]) ).
fof(f2772,plain,
! [X0] :
( ~ sQ189_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f772,f103]) ).
fof(f2773,plain,
( ~ sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2771,f91]) ).
fof(f2774,plain,
~ sQ189_spl,
inference(contradiction_clause,[status(thm)],[f2773]) ).
fof(f2775,plain,
( ~ sQ190_spl
| ~ sQ140_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2389,f776]) ).
fof(f2776,plain,
( ~ sQ190_spl
| ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2775,f84]) ).
fof(f2777,plain,
( ~ sQ190_spl
| ~ sQ140_spl ),
inference(contradiction_clause,[status(thm)],[f2776]) ).
fof(f2782,plain,
! [X0] :
( ~ sQ188_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f769,f107]) ).
fof(f2783,plain,
! [X0] :
( ~ sQ188_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f769,f105]) ).
fof(f2784,plain,
( ~ sQ188_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f769,f979]) ).
fof(f2785,plain,
! [X0] :
( ~ sQ188_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f769,f103]) ).
fof(f2807,plain,
( ~ sQ161_spl
| ~ sQ186_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f763,f2613]) ).
fof(f2808,plain,
! [X0] :
( ~ sQ186_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f763,f107]) ).
fof(f2809,plain,
! [X0] :
( ~ sQ186_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f763,f105]) ).
fof(f2810,plain,
( ~ sQ186_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f763,f979]) ).
fof(f2811,plain,
! [X0] :
( ~ sQ186_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f763,f103]) ).
fof(f2814,plain,
( sQ196_spl
| ~ sQ118_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f796,f2038]) ).
fof(f2815,plain,
( sQ196_spl
| ~ sQ118_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f2814]) ).
fof(f2816,plain,
! [X0] :
( ~ sQ185_spl
| equalish(X0,e_3)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f760,f107]) ).
fof(f2817,plain,
! [X0] :
( ~ sQ185_spl
| equalish(X0,e_3)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f760,f105]) ).
fof(f2818,plain,
( ~ sQ185_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f760,f979]) ).
fof(f2819,plain,
! [X0] :
( ~ sQ185_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f760,f103]) ).
fof(f2820,plain,
( ~ sQ185_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2818,f74]) ).
fof(f2821,plain,
~ sQ185_spl,
inference(contradiction_clause,[status(thm)],[f2820]) ).
fof(f2822,plain,
( ~ sQ194_spl
| ~ sQ184_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f756,f2746]) ).
fof(f2823,plain,
! [X0] :
( ~ sQ184_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f756,f107]) ).
fof(f2824,plain,
! [X0] :
( ~ sQ184_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f756,f105]) ).
fof(f2825,plain,
! [X0] :
( ~ sQ184_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f756,f103]) ).
fof(f2826,plain,
( ~ sQ194_spl
| ~ sQ184_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2822,f86]) ).
fof(f2827,plain,
( ~ sQ194_spl
| ~ sQ184_spl ),
inference(contradiction_clause,[status(thm)],[f2826]) ).
fof(f2828,plain,
( ~ sQ183_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f753,f983]) ).
fof(f2829,plain,
! [X0] :
( ~ sQ183_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f753,f107]) ).
fof(f2830,plain,
! [X0] :
( ~ sQ183_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f753,f105]) ).
fof(f2831,plain,
! [X0] :
( ~ sQ183_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f753,f103]) ).
fof(f2832,plain,
( ~ sQ183_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2828,f83]) ).
fof(f2833,plain,
~ sQ183_spl,
inference(contradiction_clause,[status(thm)],[f2832]) ).
fof(f2834,plain,
! [X0] :
( ~ sQ182_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f750,f107]) ).
fof(f2835,plain,
( ~ sQ182_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f750,f981]) ).
fof(f2836,plain,
! [X0] :
( ~ sQ182_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f750,f105]) ).
fof(f2837,plain,
! [X0] :
( ~ sQ182_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f750,f103]) ).
fof(f2838,plain,
( ~ sQ182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2835,f87]) ).
fof(f2839,plain,
~ sQ182_spl,
inference(contradiction_clause,[status(thm)],[f2838]) ).
fof(f2840,plain,
( ~ sQ131_spl
| ~ sQ181_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f747,f2459]) ).
fof(f2841,plain,
! [X0] :
( ~ sQ181_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f747,f107]) ).
fof(f2842,plain,
! [X0] :
( ~ sQ181_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f747,f105]) ).
fof(f2843,plain,
! [X0] :
( ~ sQ181_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f747,f103]) ).
fof(f2844,plain,
( ~ sQ131_spl
| ~ sQ181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2840,f84]) ).
fof(f2845,plain,
( ~ sQ131_spl
| ~ sQ181_spl ),
inference(contradiction_clause,[status(thm)],[f2844]) ).
fof(f2846,plain,
! [X0] :
( ~ sQ180_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f744,f107]) ).
fof(f2847,plain,
! [X0] :
( ~ sQ180_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f744,f105]) ).
fof(f2848,plain,
! [X0] :
( ~ sQ180_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f744,f103]) ).
fof(f2849,plain,
( ~ sQ179_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f740,f983]) ).
fof(f2850,plain,
! [X0] :
( ~ sQ179_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f740,f107]) ).
fof(f2851,plain,
! [X0] :
( ~ sQ179_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f740,f105]) ).
fof(f2852,plain,
! [X0] :
( ~ sQ179_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f740,f103]) ).
fof(f2853,plain,
( ~ sQ179_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2849,f84]) ).
fof(f2854,plain,
~ sQ179_spl,
inference(contradiction_clause,[status(thm)],[f2853]) ).
fof(f2855,plain,
! [X0] :
( ~ sQ178_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f737,f107]) ).
fof(f2856,plain,
! [X0] :
( ~ sQ178_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f737,f105]) ).
fof(f2857,plain,
! [X0] :
( ~ sQ178_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f737,f103]) ).
fof(f2864,plain,
( ~ sQ180_spl
| ~ sQ190_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2767,f744]) ).
fof(f2865,plain,
( ~ sQ180_spl
| ~ sQ190_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2864,f86]) ).
fof(f2866,plain,
( ~ sQ180_spl
| ~ sQ190_spl ),
inference(contradiction_clause,[status(thm)],[f2865]) ).
fof(f2867,plain,
( ~ sQ180_spl
| ~ sQ130_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2462,f744]) ).
fof(f2868,plain,
( ~ sQ180_spl
| ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2867,f84]) ).
fof(f2869,plain,
( ~ sQ180_spl
| ~ sQ130_spl ),
inference(contradiction_clause,[status(thm)],[f2868]) ).
fof(f2870,plain,
! [X0] :
( ~ sQ177_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f734,f107]) ).
fof(f2871,plain,
( ~ sQ177_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f734,f981]) ).
fof(f2872,plain,
! [X0] :
( ~ sQ177_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f734,f105]) ).
fof(f2873,plain,
! [X0] :
( ~ sQ177_spl
| equalish(X0,e_3)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f734,f103]) ).
fof(f2874,plain,
( ~ sQ177_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2871,f91]) ).
fof(f2875,plain,
~ sQ177_spl,
inference(contradiction_clause,[status(thm)],[f2874]) ).
fof(f2876,plain,
( ~ sQ196_spl
| ~ sQ176_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f731,f2735]) ).
fof(f2877,plain,
! [X0] :
( ~ sQ176_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f731,f107]) ).
fof(f2878,plain,
! [X0] :
( ~ sQ176_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f731,f105]) ).
fof(f2879,plain,
! [X0] :
( ~ sQ176_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f731,f103]) ).
fof(f2880,plain,
( ~ sQ196_spl
| ~ sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2876,f89]) ).
fof(f2881,plain,
( ~ sQ196_spl
| ~ sQ176_spl ),
inference(contradiction_clause,[status(thm)],[f2880]) ).
fof(f2882,plain,
( ~ sQ150_spl
| ~ sQ175_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f728,f2695]) ).
fof(f2883,plain,
! [X0] :
( ~ sQ175_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f728,f107]) ).
fof(f2884,plain,
! [X0] :
( ~ sQ175_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f728,f105]) ).
fof(f2885,plain,
! [X0] :
( ~ sQ175_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f728,f103]) ).
fof(f2886,plain,
( ~ sQ150_spl
| ~ sQ175_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2882,f83]) ).
fof(f2887,plain,
( ~ sQ150_spl
| ~ sQ175_spl ),
inference(contradiction_clause,[status(thm)],[f2886]) ).
fof(f2888,plain,
( ~ sQ174_spl
| ~ sQ224_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f889,f2521]) ).
fof(f2889,plain,
! [X0] :
( ~ sQ224_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f889,f107]) ).
fof(f2890,plain,
! [X0] :
( ~ sQ224_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f889,f105]) ).
fof(f2891,plain,
! [X0] :
( ~ sQ224_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f889,f103]) ).
fof(f2892,plain,
( ~ sQ174_spl
| ~ sQ224_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2888,f79]) ).
fof(f2893,plain,
( ~ sQ174_spl
| ~ sQ224_spl ),
inference(contradiction_clause,[status(thm)],[f2892]) ).
fof(f2894,plain,
! [X0] :
( ~ sQ223_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f886,f107]) ).
fof(f2895,plain,
! [X0] :
( ~ sQ223_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f886,f105]) ).
fof(f2896,plain,
! [X0] :
( ~ sQ223_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f886,f103]) ).
fof(f2897,plain,
! [X0] :
( ~ sQ222_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f883,f107]) ).
fof(f2898,plain,
! [X0] :
( ~ sQ222_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f883,f105]) ).
fof(f2899,plain,
! [X0] :
( ~ sQ222_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f883,f103]) ).
fof(f2900,plain,
! [X0] :
( ~ sQ221_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f880,f107]) ).
fof(f2901,plain,
( ~ sQ221_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f880,f981]) ).
fof(f2902,plain,
! [X0] :
( ~ sQ221_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f880,f105]) ).
fof(f2903,plain,
! [X0] :
( ~ sQ221_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f880,f103]) ).
fof(f2904,plain,
( ~ sQ221_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2901,f73]) ).
fof(f2905,plain,
~ sQ221_spl,
inference(contradiction_clause,[status(thm)],[f2904]) ).
fof(f2906,plain,
( ~ sQ220_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f877,f983]) ).
fof(f2907,plain,
! [X0] :
( ~ sQ220_spl
| equalish(X0,e_2)
| ~ product2(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f877,f107]) ).
fof(f2908,plain,
! [X0] :
( ~ sQ220_spl
| equalish(X0,e_1)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f877,f105]) ).
fof(f2909,plain,
! [X0] :
( ~ sQ220_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f877,f103]) ).
fof(f2910,plain,
( ~ sQ220_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2906,f77]) ).
fof(f2911,plain,
~ sQ220_spl,
inference(contradiction_clause,[status(thm)],[f2910]) ).
fof(f2912,plain,
! [X0] :
( ~ sQ219_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f873,f107]) ).
fof(f2913,plain,
! [X0] :
( ~ sQ219_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f873,f105]) ).
fof(f2914,plain,
( ~ sQ219_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f873,f979]) ).
fof(f2915,plain,
! [X0] :
( ~ sQ219_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f873,f103]) ).
fof(f2916,plain,
( ~ sQ219_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2914,f90]) ).
fof(f2917,plain,
~ sQ219_spl,
inference(contradiction_clause,[status(thm)],[f2916]) ).
fof(f2921,plain,
( ~ sQ223_spl
| ~ sQ198_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2704,f886]) ).
fof(f2922,plain,
( ~ sQ223_spl
| ~ sQ198_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2921,f78]) ).
fof(f2923,plain,
( ~ sQ223_spl
| ~ sQ198_spl ),
inference(contradiction_clause,[status(thm)],[f2922]) ).
fof(f2927,plain,
( ~ sQ178_spl
| ~ sQ193_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2750,f737]) ).
fof(f2928,plain,
( ~ sQ178_spl
| ~ sQ193_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2927,f90]) ).
fof(f2929,plain,
( ~ sQ178_spl
| ~ sQ193_spl ),
inference(contradiction_clause,[status(thm)],[f2928]) ).
fof(f2930,plain,
! [X0] :
( ~ sQ218_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f870,f107]) ).
fof(f2931,plain,
! [X0] :
( ~ sQ218_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f870,f105]) ).
fof(f2932,plain,
( ~ sQ218_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f870,f979]) ).
fof(f2933,plain,
! [X0] :
( ~ sQ218_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f870,f103]) ).
fof(f2934,plain,
( ~ sQ218_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2932,f86]) ).
fof(f2935,plain,
~ sQ218_spl,
inference(contradiction_clause,[status(thm)],[f2934]) ).
fof(f2937,plain,
( ~ sQ142_spl
| ~ sQ217_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f867,f2380]) ).
fof(f2939,plain,
! [X0] :
( ~ sQ217_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f867,f107]) ).
fof(f2940,plain,
! [X0] :
( ~ sQ217_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f867,f105]) ).
fof(f2941,plain,
( ~ sQ217_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f867,f979]) ).
fof(f2942,plain,
! [X0] :
( ~ sQ217_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f867,f103]) ).
fof(f2946,plain,
! [X0] :
( ~ sQ215_spl
| equalish(X0,e_2)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f861,f107]) ).
fof(f2947,plain,
! [X0] :
( ~ sQ215_spl
| equalish(X0,e_2)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f861,f105]) ).
fof(f2948,plain,
( ~ sQ215_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f861,f979]) ).
fof(f2949,plain,
! [X0] :
( ~ sQ215_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f861,f103]) ).
fof(f2952,plain,
( ~ sQ215_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2948,f73]) ).
fof(f2953,plain,
~ sQ215_spl,
inference(contradiction_clause,[status(thm)],[f2952]) ).
fof(f2954,plain,
! [X0] :
( ~ sQ214_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f857,f107]) ).
fof(f2955,plain,
! [X0] :
( ~ sQ214_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f857,f105]) ).
fof(f2956,plain,
! [X0] :
( ~ sQ214_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f857,f103]) ).
fof(f2960,plain,
( ~ sQ214_spl
| ~ sQ213_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f854,f2956]) ).
fof(f2961,plain,
( ~ sQ138_spl
| ~ sQ213_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f854,f2399]) ).
fof(f2962,plain,
! [X0] :
( ~ sQ213_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f854,f107]) ).
fof(f2963,plain,
! [X0] :
( ~ sQ213_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f854,f105]) ).
fof(f2964,plain,
! [X0] :
( ~ sQ213_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f854,f103]) ).
fof(f2965,plain,
( ~ sQ214_spl
| ~ sQ213_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2960,f88]) ).
fof(f2966,plain,
( ~ sQ214_spl
| ~ sQ213_spl ),
inference(contradiction_clause,[status(thm)],[f2965]) ).
fof(f2969,plain,
( ~ sQ212_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f851,f983]) ).
fof(f2970,plain,
! [X0] :
( ~ sQ212_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f851,f107]) ).
fof(f2971,plain,
! [X0] :
( ~ sQ212_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f851,f105]) ).
fof(f2972,plain,
! [X0] :
( ~ sQ212_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f851,f103]) ).
fof(f2978,plain,
! [X0] :
( ~ sQ211_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f848,f107]) ).
fof(f2979,plain,
( ~ sQ211_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f848,f981]) ).
fof(f2980,plain,
! [X0] :
( ~ sQ211_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f848,f105]) ).
fof(f2981,plain,
! [X0] :
( ~ sQ211_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f848,f103]) ).
fof(f2984,plain,
( ~ sQ160_spl
| ~ sQ210_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f845,f2618]) ).
fof(f2985,plain,
! [X0] :
( ~ sQ210_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f845,f107]) ).
fof(f2986,plain,
! [X0] :
( ~ sQ210_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f845,f105]) ).
fof(f2987,plain,
! [X0] :
( ~ sQ210_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f845,f103]) ).
fof(f2988,plain,
( ~ sQ160_spl
| ~ sQ210_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2984,f79]) ).
fof(f2989,plain,
( ~ sQ160_spl
| ~ sQ210_spl ),
inference(contradiction_clause,[status(thm)],[f2988]) ).
fof(f2993,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2038,f107]) ).
fof(f2994,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2038,f105]) ).
fof(f2995,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2038,f103]) ).
fof(f3005,plain,
! [X0] :
( ~ sQ209_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f841,f107]) ).
fof(f3006,plain,
! [X0] :
( ~ sQ209_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f841,f105]) ).
fof(f3007,plain,
! [X0] :
( ~ sQ209_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f841,f103]) ).
fof(f3008,plain,
( ~ sQ208_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f838,f983]) ).
fof(f3009,plain,
! [X0] :
( ~ sQ208_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f838,f107]) ).
fof(f3010,plain,
! [X0] :
( ~ sQ208_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f838,f105]) ).
fof(f3011,plain,
! [X0] :
( ~ sQ208_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f838,f103]) ).
fof(f3012,plain,
( ~ sQ208_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3008,f79]) ).
fof(f3013,plain,
~ sQ208_spl,
inference(contradiction_clause,[status(thm)],[f3012]) ).
fof(f3014,plain,
( ~ sQ211_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2979,f82]) ).
fof(f3015,plain,
~ sQ211_spl,
inference(contradiction_clause,[status(thm)],[f3014]) ).
fof(f3016,plain,
! [X0] :
( ~ sQ207_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f835,f107]) ).
fof(f3017,plain,
! [X0] :
( ~ sQ207_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f835,f105]) ).
fof(f3018,plain,
! [X0] :
( ~ sQ207_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f835,f103]) ).
fof(f3020,plain,
! [X0] :
( ~ sQ206_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f832,f107]) ).
fof(f3021,plain,
( ~ sQ206_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f832,f981]) ).
fof(f3022,plain,
! [X0] :
( ~ sQ206_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f832,f105]) ).
fof(f3023,plain,
! [X0] :
( ~ sQ206_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f832,f103]) ).
fof(f3026,plain,
( ~ sQ206_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3021,f86]) ).
fof(f3027,plain,
~ sQ206_spl,
inference(contradiction_clause,[status(thm)],[f3026]) ).
fof(f3028,plain,
( ~ sQ26_spl
| ~ sQ103_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f2247,f888,f481,f220]) ).
fof(f3029,plain,
( ~ sQ186_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2810,f78]) ).
fof(f3030,plain,
~ sQ186_spl,
inference(contradiction_clause,[status(thm)],[f3029]) ).
fof(f3033,plain,
! [X0] :
( ~ sQ205_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f829,f107]) ).
fof(f3034,plain,
! [X0] :
( ~ sQ205_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f829,f105]) ).
fof(f3035,plain,
! [X0] :
( ~ sQ205_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f829,f103]) ).
fof(f3036,plain,
( ~ sQ204_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f825,f983]) ).
fof(f3037,plain,
! [X0] :
( ~ sQ204_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f825,f107]) ).
fof(f3038,plain,
! [X0] :
( ~ sQ204_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f825,f105]) ).
fof(f3039,plain,
! [X0] :
( ~ sQ204_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f825,f103]) ).
fof(f3040,plain,
( ~ sQ204_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3036,f80]) ).
fof(f3041,plain,
~ sQ204_spl,
inference(contradiction_clause,[status(thm)],[f3040]) ).
fof(f3042,plain,
! [X0] :
( ~ sQ203_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f822,f107]) ).
fof(f3043,plain,
! [X0] :
( ~ sQ203_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f822,f105]) ).
fof(f3044,plain,
! [X0] :
( ~ sQ203_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f822,f103]) ).
fof(f3045,plain,
! [X0] :
( ~ sQ202_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f819,f107]) ).
fof(f3046,plain,
! [X0] :
( ~ sQ202_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f819,f105]) ).
fof(f3047,plain,
! [X0] :
( ~ sQ202_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f819,f103]) ).
fof(f3048,plain,
! [X0] :
( ~ sQ201_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f816,f107]) ).
fof(f3049,plain,
( ~ sQ201_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f816,f981]) ).
fof(f3050,plain,
! [X0] :
( ~ sQ201_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f816,f105]) ).
fof(f3051,plain,
! [X0] :
( ~ sQ201_spl
| equalish(X0,e_2)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f816,f103]) ).
fof(f3052,plain,
( ~ sQ201_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3049,f90]) ).
fof(f3053,plain,
~ sQ201_spl,
inference(contradiction_clause,[status(thm)],[f3052]) ).
fof(f3074,plain,
( ~ sQ205_spl
| ~ sQ209_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f3007,f829]) ).
fof(f3075,plain,
( ~ sQ207_spl
| ~ sQ209_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f3007,f835]) ).
fof(f3077,plain,
( ~ sQ205_spl
| ~ sQ209_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3074,f76]) ).
fof(f3078,plain,
( ~ sQ205_spl
| ~ sQ209_spl ),
inference(contradiction_clause,[status(thm)],[f3077]) ).
fof(f3080,plain,
( ~ sQ202_spl
| ~ sQ207_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f3017,f819]) ).
fof(f3082,plain,
( ~ sQ202_spl
| ~ sQ207_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3080,f92]) ).
fof(f3083,plain,
( ~ sQ202_spl
| ~ sQ207_spl ),
inference(contradiction_clause,[status(thm)],[f3082]) ).
fof(f3084,plain,
! [X0] :
( ~ sQ200_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f813,f107]) ).
fof(f3085,plain,
! [X0] :
( ~ sQ200_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f813,f105]) ).
fof(f3086,plain,
! [X0] :
( ~ sQ200_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f813,f103]) ).
fof(f3088,plain,
! [X0] :
( ~ sQ249_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f974,f107]) ).
fof(f3089,plain,
! [X0] :
( ~ sQ249_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f974,f105]) ).
fof(f3090,plain,
( ~ sQ249_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f974,f979]) ).
fof(f3091,plain,
! [X0] :
( ~ sQ249_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f974,f103]) ).
fof(f3094,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ248_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f971,f1612]) ).
fof(f3095,plain,
! [X0] :
( ~ sQ248_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f971,f107]) ).
fof(f3096,plain,
! [X0] :
( ~ sQ248_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f971,f105]) ).
fof(f3097,plain,
( ~ sQ248_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f971,f979]) ).
fof(f3098,plain,
! [X0] :
( ~ sQ248_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f971,f103]) ).
fof(f3099,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ248_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3094,f74]) ).
fof(f3100,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ248_spl ),
inference(contradiction_clause,[status(thm)],[f3099]) ).
fof(f3101,plain,
! [X0] :
( ~ sQ247_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f968,f107]) ).
fof(f3102,plain,
! [X0] :
( ~ sQ247_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f968,f105]) ).
fof(f3103,plain,
( ~ sQ247_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f968,f979]) ).
fof(f3104,plain,
! [X0] :
( ~ sQ247_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f968,f103]) ).
fof(f3105,plain,
( ~ sQ247_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3103,f81]) ).
fof(f3106,plain,
~ sQ247_spl,
inference(contradiction_clause,[status(thm)],[f3105]) ).
fof(f3108,plain,
! [X0] :
( ~ sQ246_spl
| equalish(X0,e_1)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f965,f107]) ).
fof(f3109,plain,
! [X0] :
( ~ sQ246_spl
| equalish(X0,e_1)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f965,f105]) ).
fof(f3110,plain,
( ~ sQ246_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f965,f979]) ).
fof(f3111,plain,
! [X0] :
( ~ sQ246_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f965,f103]) ).
fof(f3114,plain,
! [X0] :
( ~ sQ244_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f958,f107]) ).
fof(f3115,plain,
! [X0] :
( ~ sQ244_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f958,f105]) ).
fof(f3116,plain,
! [X0] :
( ~ sQ244_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f958,f103]) ).
fof(f3117,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ243_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f955,f1612]) ).
fof(f3118,plain,
! [X0] :
( ~ sQ243_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f955,f107]) ).
fof(f3119,plain,
! [X0] :
( ~ sQ243_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f955,f105]) ).
fof(f3120,plain,
! [X0] :
( ~ sQ243_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f955,f103]) ).
fof(f3121,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3117,f78]) ).
fof(f3122,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ243_spl ),
inference(contradiction_clause,[status(thm)],[f3121]) ).
fof(f3123,plain,
! [X0] :
( ~ sQ242_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f952,f107]) ).
fof(f3124,plain,
! [X0] :
( ~ sQ242_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f952,f105]) ).
fof(f3125,plain,
! [X0] :
( ~ sQ242_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f952,f103]) ).
fof(f3126,plain,
( ~ sQ241_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f949,f983]) ).
fof(f3127,plain,
! [X0] :
( ~ sQ241_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f949,f107]) ).
fof(f3128,plain,
! [X0] :
( ~ sQ241_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f949,f105]) ).
fof(f3129,plain,
! [X0] :
( ~ sQ241_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f949,f103]) ).
fof(f3130,plain,
( ~ sQ241_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3126,f73]) ).
fof(f3131,plain,
~ sQ241_spl,
inference(contradiction_clause,[status(thm)],[f3130]) ).
fof(f3132,plain,
( ~ sQ242_spl
| ~ sQ142_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f2380,f952]) ).
fof(f3133,plain,
( ~ sQ242_spl
| ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3132,f76]) ).
fof(f3134,plain,
( ~ sQ242_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f3133]) ).
fof(f3138,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ18_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1490,f107]) ).
fof(f3139,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ18_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1490,f105]) ).
fof(f3140,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ18_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1490,f103]) ).
fof(f3141,plain,
( ~ sQ200_spl
| ~ sQ210_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2986,f813]) ).
fof(f3142,plain,
( ~ sQ200_spl
| ~ sQ210_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3141,f91]) ).
fof(f3143,plain,
( ~ sQ200_spl
| ~ sQ210_spl ),
inference(contradiction_clause,[status(thm)],[f3142]) ).
fof(f3146,plain,
( ~ sQ200_spl
| ~ sQ203_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f3044,f813]) ).
fof(f3148,plain,
( ~ sQ200_spl
| ~ sQ203_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3146,f75]) ).
fof(f3149,plain,
( ~ sQ200_spl
| ~ sQ203_spl ),
inference(contradiction_clause,[status(thm)],[f3148]) ).
fof(f3154,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1609,f105]) ).
fof(f3155,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ5_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1609,f103]) ).
fof(f3156,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ78_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2349,f107]) ).
fof(f3157,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ78_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2349,f105]) ).
fof(f3158,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ78_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2349,f103]) ).
fof(f3172,plain,
( ~ sQ165_spl
| ~ sQ240_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f946,f2590]) ).
fof(f3173,plain,
! [X0] :
( ~ sQ240_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f946,f107]) ).
fof(f3174,plain,
( ~ sQ240_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f946,f981]) ).
fof(f3175,plain,
! [X0] :
( ~ sQ240_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f946,f105]) ).
fof(f3176,plain,
! [X0] :
( ~ sQ240_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f946,f103]) ).
fof(f3179,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ239_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f942,f1613]) ).
fof(f3180,plain,
! [X0] :
( ~ sQ239_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f942,f107]) ).
fof(f3181,plain,
! [X0] :
( ~ sQ239_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f942,f105]) ).
fof(f3182,plain,
! [X0] :
( ~ sQ239_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f942,f103]) ).
fof(f3183,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ239_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3179,f92]) ).
fof(f3184,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| ~ sQ239_spl ),
inference(contradiction_clause,[status(thm)],[f3183]) ).
fof(f3185,plain,
! [X0] :
( ~ sQ238_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f939,f107]) ).
fof(f3186,plain,
! [X0] :
( ~ sQ238_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f939,f105]) ).
fof(f3187,plain,
! [X0] :
( ~ sQ238_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f939,f103]) ).
fof(f3188,plain,
( ~ sQ237_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f936,f983]) ).
fof(f3189,plain,
! [X0] :
( ~ sQ237_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f936,f107]) ).
fof(f3190,plain,
! [X0] :
( ~ sQ237_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f936,f105]) ).
fof(f3191,plain,
! [X0] :
( ~ sQ237_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f936,f103]) ).
fof(f3192,plain,
( ~ sQ237_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3188,f74]) ).
fof(f3193,plain,
~ sQ237_spl,
inference(contradiction_clause,[status(thm)],[f3192]) ).
fof(f3194,plain,
! [X0] :
( ~ sQ236_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f933,f107]) ).
fof(f3195,plain,
! [X0] :
( ~ sQ236_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f933,f105]) ).
fof(f3196,plain,
! [X0] :
( ~ sQ236_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f933,f103]) ).
fof(f3197,plain,
! [X0] :
( ~ sQ235_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f930,f107]) ).
fof(f3198,plain,
( ~ sQ235_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f930,f981]) ).
fof(f3199,plain,
! [X0] :
( ~ sQ235_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f930,f105]) ).
fof(f3200,plain,
! [X0] :
( ~ sQ235_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f930,f103]) ).
fof(f3201,plain,
( ~ sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3198,f81]) ).
fof(f3202,plain,
~ sQ235_spl,
inference(contradiction_clause,[status(thm)],[f3201]) ).
fof(f3203,plain,
! [X0] :
( ~ sQ234_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f926,f107]) ).
fof(f3204,plain,
! [X0] :
( ~ sQ234_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f926,f105]) ).
fof(f3205,plain,
! [X0] :
( ~ sQ234_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f926,f103]) ).
fof(f3206,plain,
( ~ sQ233_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f923,f983]) ).
fof(f3207,plain,
! [X0] :
( ~ sQ233_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f923,f107]) ).
fof(f3208,plain,
! [X0] :
( ~ sQ233_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f923,f105]) ).
fof(f3209,plain,
! [X0] :
( ~ sQ233_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f923,f103]) ).
fof(f3210,plain,
( ~ sQ233_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3206,f75]) ).
fof(f3211,plain,
~ sQ233_spl,
inference(contradiction_clause,[status(thm)],[f3210]) ).
fof(f3212,plain,
! [X0] :
( ~ sQ232_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f920,f107]) ).
fof(f3213,plain,
! [X0] :
( ~ sQ232_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f920,f105]) ).
fof(f3214,plain,
! [X0] :
( ~ sQ232_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f920,f103]) ).
fof(f3215,plain,
( ~ sQ205_spl
| ~ sQ22_spl
| ~ sQ49_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1148,f3033]) ).
fof(f3219,plain,
( ~ sQ205_spl
| ~ sQ22_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3215,f82]) ).
fof(f3220,plain,
( ~ sQ205_spl
| ~ sQ22_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3219]) ).
fof(f3228,plain,
( ~ sQ234_spl
| ~ sQ53_spl
| ~ sQ25_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2292,f926]) ).
fof(f3230,plain,
( ~ sQ234_spl
| ~ sQ53_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3228,f87]) ).
fof(f3231,plain,
( ~ sQ234_spl
| ~ sQ53_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f3230]) ).
fof(f3238,plain,
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ175_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2884,f1148]) ).
fof(f3239,plain,
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ175_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3238,f88]) ).
fof(f3240,plain,
( ~ sQ22_spl
| ~ sQ49_spl
| ~ sQ175_spl ),
inference(contradiction_clause,[status(thm)],[f3239]) ).
fof(f3245,plain,
( ~ sQ236_spl
| ~ sQ53_spl
| ~ sQ25_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2293,f933]) ).
fof(f3246,plain,
( ~ sQ238_spl
| ~ sQ53_spl
| ~ sQ25_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2293,f939]) ).
fof(f3247,plain,
( ~ sQ236_spl
| ~ sQ53_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3245,f80]) ).
fof(f3248,plain,
( ~ sQ236_spl
| ~ sQ53_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f3247]) ).
fof(f3249,plain,
( ~ sQ238_spl
| ~ sQ53_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3246,f88]) ).
fof(f3250,plain,
( ~ sQ238_spl
| ~ sQ53_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f3249]) ).
fof(f3253,plain,
( ~ sQ53_spl
| ~ sQ25_spl
| ~ sQ214_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f2954,f1593]) ).
fof(f3254,plain,
( ~ sQ53_spl
| ~ sQ25_spl
| ~ sQ214_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3253,f73]) ).
fof(f3255,plain,
( ~ sQ53_spl
| ~ sQ25_spl
| ~ sQ214_spl ),
inference(contradiction_clause,[status(thm)],[f3254]) ).
fof(f3256,plain,
( ~ sQ131_spl
| ~ sQ231_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f917,f2459]) ).
fof(f3257,plain,
! [X0] :
( ~ sQ231_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f917,f107]) ).
fof(f3258,plain,
! [X0] :
( ~ sQ231_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f917,f105]) ).
fof(f3259,plain,
! [X0] :
( ~ sQ231_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f917,f103]) ).
fof(f3260,plain,
( ~ sQ131_spl
| ~ sQ231_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3256,f76]) ).
fof(f3261,plain,
( ~ sQ131_spl
| ~ sQ231_spl ),
inference(contradiction_clause,[status(thm)],[f3260]) ).
fof(f3262,plain,
( ~ sQ212_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2969,f78]) ).
fof(f3263,plain,
~ sQ212_spl,
inference(contradiction_clause,[status(thm)],[f3262]) ).
fof(f3264,plain,
( ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2516,f76]) ).
fof(f3265,plain,
~ sQ125_spl,
inference(contradiction_clause,[status(thm)],[f3264]) ).
fof(f3266,plain,
( ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3110,f77]) ).
fof(f3267,plain,
~ sQ246_spl,
inference(contradiction_clause,[status(thm)],[f3266]) ).
fof(f3268,plain,
( ~ sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2677,f88]) ).
fof(f3269,plain,
~ sQ154_spl,
inference(contradiction_clause,[status(thm)],[f3268]) ).
fof(f3270,plain,
! [X0] :
( ~ sQ230_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f914,f107]) ).
fof(f3271,plain,
( ~ sQ230_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f914,f981]) ).
fof(f3272,plain,
! [X0] :
( ~ sQ230_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f914,f105]) ).
fof(f3273,plain,
! [X0] :
( ~ sQ230_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f914,f103]) ).
fof(f3274,plain,
( ~ sQ230_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3271,f85]) ).
fof(f3275,plain,
~ sQ230_spl,
inference(contradiction_clause,[status(thm)],[f3274]) ).
fof(f3276,plain,
( ~ sQ229_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f910,f983]) ).
fof(f3277,plain,
! [X0] :
( ~ sQ229_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f910,f107]) ).
fof(f3278,plain,
! [X0] :
( ~ sQ229_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f910,f105]) ).
fof(f3279,plain,
! [X0] :
( ~ sQ229_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f910,f103]) ).
fof(f3280,plain,
( ~ sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3276,f76]) ).
fof(f3281,plain,
~ sQ229_spl,
inference(contradiction_clause,[status(thm)],[f3280]) ).
fof(f3282,plain,
! [X0] :
( ~ sQ228_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f907,f107]) ).
fof(f3283,plain,
! [X0] :
( ~ sQ228_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f907,f105]) ).
fof(f3284,plain,
! [X0] :
( ~ sQ228_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f907,f103]) ).
fof(f3285,plain,
! [X0] :
( ~ sQ227_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f904,f107]) ).
fof(f3286,plain,
! [X0] :
( ~ sQ227_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f904,f105]) ).
fof(f3287,plain,
! [X0] :
( ~ sQ227_spl
| equalish(X0,e_3)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f904,f103]) ).
fof(f3288,plain,
! [X0] :
( ~ sQ226_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f901,f107]) ).
fof(f3289,plain,
! [X0] :
( ~ sQ226_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f901,f105]) ).
fof(f3290,plain,
! [X0] :
( ~ sQ226_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f901,f103]) ).
fof(f3291,plain,
! [X0] :
( ~ sQ225_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f898,f107]) ).
fof(f3292,plain,
( ~ sQ225_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f898,f981]) ).
fof(f3293,plain,
! [X0] :
( ~ sQ225_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f898,f105]) ).
fof(f3294,plain,
! [X0] :
( ~ sQ225_spl
| equalish(X0,e_1)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f898,f103]) ).
fof(f3295,plain,
( ~ sQ225_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3292,f89]) ).
fof(f3296,plain,
~ sQ225_spl,
inference(contradiction_clause,[status(thm)],[f3295]) ).
fof(f3302,plain,
( ~ sQ226_spl
| ~ sQ68_spl
| ~ sQ40_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2055,f901]) ).
fof(f3303,plain,
( ~ sQ231_spl
| ~ sQ68_spl
| ~ sQ40_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2055,f917]) ).
fof(f3304,plain,
( ~ sQ226_spl
| ~ sQ68_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3302,f91]) ).
fof(f3305,plain,
( ~ sQ226_spl
| ~ sQ68_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3304]) ).
fof(f3306,plain,
( ~ sQ231_spl
| ~ sQ68_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3303,f87]) ).
fof(f3307,plain,
( ~ sQ231_spl
| ~ sQ68_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3306]) ).
fof(f3310,plain,
( ~ sQ227_spl
| ~ sQ232_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f3213,f904]) ).
fof(f3312,plain,
( ~ sQ227_spl
| ~ sQ232_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3310,f92]) ).
fof(f3313,plain,
( ~ sQ227_spl
| ~ sQ232_spl ),
inference(contradiction_clause,[status(thm)],[f3312]) ).
fof(f3314,plain,
( ~ sQ188_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2784,f87]) ).
fof(f3315,plain,
~ sQ188_spl,
inference(contradiction_clause,[status(thm)],[f3314]) ).
fof(f3327,plain,
( ~ sQ227_spl
| ~ sQ88_spl
| ~ sQ35_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2178,f904]) ).
fof(f3328,plain,
( ~ sQ227_spl
| ~ sQ88_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3327,f90]) ).
fof(f3329,plain,
( ~ sQ227_spl
| ~ sQ88_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f3328]) ).
fof(f3336,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| ~ sQ239_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f3182,f1467]) ).
fof(f3337,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| ~ sQ239_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3336,f80]) ).
fof(f3338,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| ~ sQ239_spl ),
inference(contradiction_clause,[status(thm)],[f3337]) ).
fof(f3339,plain,
( ~ sQ228_spl
| ~ sQ238_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f3186,f907]) ).
fof(f3340,plain,
( ~ sQ228_spl
| ~ sQ238_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3339,f91]) ).
fof(f3341,plain,
( ~ sQ228_spl
| ~ sQ238_spl ),
inference(contradiction_clause,[status(thm)],[f3340]) ).
fof(f3342,plain,
( ~ sQ53_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2246,f74]) ).
fof(f3343,plain,
( ~ sQ53_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f3342]) ).
fof(f3344,plain,
( ~ sQ22_spl
| ~ sQ49_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1148,f743,f293,f202]) ).
fof(f3345,plain,
( ~ sQ207_spl
| ~ sQ209_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3075,f84]) ).
fof(f3346,plain,
( ~ sQ207_spl
| ~ sQ209_spl ),
inference(contradiction_clause,[status(thm)],[f3345]) ).
fof(f3350,plain,
( ~ sQ171_spl
| ~ sQ111_spl
| ~ sQ88_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2206,f2535]) ).
fof(f3351,plain,
( ~ sQ152_spl
| ~ sQ111_spl
| ~ sQ88_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f2206,f2690]) ).
fof(f3352,plain,
( ~ sQ167_spl
| ~ sQ111_spl
| ~ sQ88_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f2206,f2582]) ).
fof(f3356,plain,
( ~ sQ171_spl
| ~ sQ111_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3350,f82]) ).
fof(f3357,plain,
( ~ sQ171_spl
| ~ sQ111_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f3356]) ).
fof(f3361,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| ~ sQ238_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f3187,f1467]) ).
fof(f3362,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| ~ sQ238_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3361,f79]) ).
fof(f3363,plain,
( ~ sQ68_spl
| ~ sQ40_spl
| ~ sQ238_spl ),
inference(contradiction_clause,[status(thm)],[f3362]) ).
fof(f3364,plain,
( ~ sQ47_spl
| ~ sQ49_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f294,f1174]) ).
fof(f3366,plain,
( ~ sQ39_spl
| ~ sQ49_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f294,f1227]) ).
fof(f3368,plain,
( ~ sQ23_spl
| ~ sQ49_spl
| product2(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f294,f995]) ).
fof(f3369,plain,
( ~ sQ21_spl
| ~ sQ49_spl
| product2(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f294,f1009]) ).
fof(f3375,plain,
( ~ sQ47_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3364,f91]) ).
fof(f3376,plain,
( ~ sQ47_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3375]) ).
fof(f3377,plain,
( ~ sQ46_spl
| ~ sQ73_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1372,f844,f375,f284]) ).
fof(f3378,plain,
( ~ sQ88_spl
| ~ sQ35_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f1856,f951,f249,f428]) ).
fof(f3379,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1389,f74]) ).
fof(f3380,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f3379]) ).
fof(f3381,plain,
( ~ sQ99_spl
| ~ sQ23_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f1713,f690,f205,f463]) ).
fof(f3382,plain,
( ~ sQ99_spl
| ~ sQ22_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1701,f775,f202,f463]) ).
fof(f3383,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ55_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1935,f107]) ).
fof(f3384,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ55_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1935,f105]) ).
fof(f3385,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ55_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1935,f103]) ).
fof(f3389,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ44_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1195,f107]) ).
fof(f3390,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ44_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1195,f105]) ).
fof(f3391,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ44_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1195,f103]) ).
fof(f3395,plain,
( ~ sQ82_spl
| ~ sQ55_spl
| ~ sQ88_spl
| ~ sQ35_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2179,f1935]) ).
fof(f3396,plain,
( ~ sQ82_spl
| ~ sQ55_spl
| ~ sQ88_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3395,f87]) ).
fof(f3397,plain,
( ~ sQ82_spl
| ~ sQ55_spl
| ~ sQ88_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f3396]) ).
fof(f3398,plain,
( ~ sQ106_spl
| ~ sQ82_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f2207,f800,f409,f491]) ).
fof(f3399,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ40_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1467,f107]) ).
fof(f3400,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ40_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1467,f105]) ).
fof(f3401,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ40_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1467,f103]) ).
fof(f3407,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_5)
| ~ product1(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f142,f99]) ).
fof(f3408,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_5)
| ~ product1(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f142,f97]) ).
fof(f3409,plain,
( ~ sQ3_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f142,f113]) ).
fof(f3410,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f142,f95]) ).
fof(f3411,plain,
! [X0] :
( ~ sQ3_spl
| product2(e_4,X0,e_5)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f142,f110]) ).
fof(f3416,plain,
( ~ sQ50_spl
| ~ sQ2_spl
| product2(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f139,f1645]) ).
fof(f3417,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_5)
| ~ product1(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f139,f99]) ).
fof(f3418,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_5)
| ~ product1(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f139,f97]) ).
fof(f3419,plain,
( ~ sQ2_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f139,f113]) ).
fof(f3420,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_3)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f139,f95]) ).
fof(f3421,plain,
! [X0] :
( ~ sQ2_spl
| product2(e_3,X0,e_5)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f139,f110]) ).
fof(f3425,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_5)
| ~ product1(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f136,f99]) ).
fof(f3426,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_5)
| ~ product1(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f136,f97]) ).
fof(f3427,plain,
( ~ sQ1_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f136,f113]) ).
fof(f3428,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_2)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f136,f95]) ).
fof(f3429,plain,
! [X0] :
( ~ sQ1_spl
| product2(e_2,X0,e_5)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f110]) ).
fof(f3431,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3427,f80]) ).
fof(f3432,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f3431]) ).
fof(f3438,plain,
( ~ sQ130_spl
| ~ sQ21_spl
| ~ sQ49_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f3369,f2462]) ).
fof(f3440,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ49_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f3369,f107]) ).
fof(f3441,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ49_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f3369,f105]) ).
fof(f3442,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ49_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f3369,f103]) ).
fof(f3443,plain,
( ~ sQ130_spl
| ~ sQ21_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3438,f80]) ).
fof(f3444,plain,
( ~ sQ130_spl
| ~ sQ21_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3443]) ).
fof(f3445,plain,
( ~ sQ181_spl
| ~ sQ44_spl
| ~ sQ15_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1244,f2841]) ).
fof(f3449,plain,
( ~ sQ181_spl
| ~ sQ44_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3445,f74]) ).
fof(f3450,plain,
( ~ sQ181_spl
| ~ sQ44_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3449]) ).
fof(f3463,plain,
( ~ sQ21_spl
| ~ sQ49_spl
| ~ sQ210_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2986,f3369]) ).
fof(f3464,plain,
( ~ sQ21_spl
| ~ sQ49_spl
| ~ sQ210_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3463,f87]) ).
fof(f3465,plain,
( ~ sQ21_spl
| ~ sQ49_spl
| ~ sQ210_spl ),
inference(contradiction_clause,[status(thm)],[f3464]) ).
fof(f3466,plain,
( sQ231_spl
| ~ sQ44_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f918,f1244]) ).
fof(f3467,plain,
( sQ231_spl
| ~ sQ44_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f3466]) ).
fof(f3469,plain,
( ~ sQ75_spl
| ~ sQ0_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f133,f1911]) ).
fof(f3471,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_5)
| ~ product1(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f133,f99]) ).
fof(f3472,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_5)
| ~ product1(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f133,f97]) ).
fof(f3473,plain,
( ~ sQ0_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f133,f113]) ).
fof(f3474,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product1(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f133,f95]) ).
fof(f3475,plain,
! [X0] :
( ~ sQ0_spl
| product2(e_1,X0,e_5)
| ~ product1(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f133,f110]) ).
fof(f3484,plain,
( ~ sQ21_spl
| ~ sQ49_spl
| ~ sQ180_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f2846,f3369]) ).
fof(f3485,plain,
( ~ sQ21_spl
| ~ sQ49_spl
| ~ sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3484,f78]) ).
fof(f3486,plain,
( ~ sQ21_spl
| ~ sQ49_spl
| ~ sQ180_spl ),
inference(contradiction_clause,[status(thm)],[f3485]) ).
fof(f3487,plain,
( ~ sQ102_spl
| ~ sQ51_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f2350,f888,f305,f478]) ).
fof(f3500,plain,
( ~ sQ118_spl
| ~ sQ42_spl
| ~ sQ181_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2842,f2038]) ).
fof(f3501,plain,
( ~ sQ118_spl
| ~ sQ42_spl
| ~ sQ181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3500,f75]) ).
fof(f3502,plain,
( ~ sQ118_spl
| ~ sQ42_spl
| ~ sQ181_spl ),
inference(contradiction_clause,[status(thm)],[f3501]) ).
fof(f3510,plain,
( ~ sQ210_spl
| ~ sQ205_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f829,f2986]) ).
fof(f3512,plain,
( ~ sQ180_spl
| ~ sQ205_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f829,f2846]) ).
fof(f3517,plain,
( ~ sQ210_spl
| ~ sQ205_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3510,f87]) ).
fof(f3518,plain,
( ~ sQ210_spl
| ~ sQ205_spl ),
inference(contradiction_clause,[status(thm)],[f3517]) ).
fof(f3519,plain,
( ~ sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3174,f77]) ).
fof(f3520,plain,
~ sQ240_spl,
inference(contradiction_clause,[status(thm)],[f3519]) ).
fof(f3529,plain,
( ~ sQ47_spl
| ~ sQ73_spl
| product2(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f376,f1175]) ).
fof(f3535,plain,
( ~ sQ47_spl
| ~ sQ73_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f3529,f759,f375,f287]) ).
fof(f3538,plain,
( ~ sQ82_spl
| ~ sQ107_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f495,f1869]) ).
fof(f3543,plain,
! [X0] :
( ~ sQ107_spl
| product2(e_3,X0,e_4)
| ~ product1(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f495,f110]) ).
fof(f3544,plain,
( ~ sQ82_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3538,f73]) ).
fof(f3545,plain,
( ~ sQ82_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3544]) ).
fof(f3553,plain,
( ~ sQ26_spl
| ~ sQ36_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f253,f1338]) ).
fof(f3555,plain,
( ~ sQ88_spl
| ~ sQ36_spl
| product2(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f253,f1793]) ).
fof(f3561,plain,
( ~ sQ26_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3553,f84]) ).
fof(f3562,plain,
( ~ sQ26_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f3561]) ).
fof(f3565,plain,
( ~ sQ59_spl
| ~ sQ82_spl
| product2(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f410,f1533]) ).
fof(f3573,plain,
( ~ sQ71_spl
| ~ sQ47_spl
| product2(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f288,f1400]) ).
fof(f3579,plain,
( ~ sQ71_spl
| ~ sQ47_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f3573,f828,f287,f369]) ).
fof(f3580,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ82_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3565,f107]) ).
fof(f3581,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ82_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f3565,f105]) ).
fof(f3582,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ82_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f3565,f103]) ).
fof(f3588,plain,
( ~ sQ75_spl
| ~ sQ26_spl
| product2(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f221,f1914]) ).
fof(f3589,plain,
( ~ sQ51_spl
| ~ sQ26_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f221,f1636]) ).
fof(f3595,plain,
( ~ sQ51_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3589,f87]) ).
fof(f3596,plain,
( ~ sQ51_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f3595]) ).
fof(f3597,plain,
( ~ sQ232_spl
| ~ sQ75_spl
| ~ sQ26_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f3588,f3214]) ).
fof(f3598,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ26_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3588,f107]) ).
fof(f3599,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f3588,f105]) ).
fof(f3600,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ26_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f3588,f103]) ).
fof(f3601,plain,
( ~ sQ232_spl
| ~ sQ75_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3597,f91]) ).
fof(f3602,plain,
( ~ sQ232_spl
| ~ sQ75_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f3601]) ).
fof(f3603,plain,
( ~ sQ242_spl
| ~ sQ82_spl
| ~ sQ55_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1935,f3125]) ).
fof(f3604,plain,
( ~ sQ228_spl
| ~ sQ82_spl
| ~ sQ55_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1935,f3283]) ).
fof(f3608,plain,
( ~ sQ242_spl
| ~ sQ82_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3603,f87]) ).
fof(f3609,plain,
( ~ sQ242_spl
| ~ sQ82_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f3608]) ).
fof(f3612,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ36_spl
| equalish(X0,e_4)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f3555,f107]) ).
fof(f3613,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ36_spl
| equalish(X0,e_4)
| ~ product2(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f3555,f105]) ).
fof(f3614,plain,
( ~ sQ88_spl
| ~ sQ36_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f3555,f979]) ).
fof(f3615,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ36_spl
| equalish(X0,e_3)
| ~ product2(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f3555,f103]) ).
fof(f3622,plain,
( ~ sQ224_spl
| ~ sQ53_spl
| ~ sQ26_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1625,f2890]) ).
fof(f3625,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ26_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1625,f107]) ).
fof(f3626,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ26_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1625,f105]) ).
fof(f3627,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ26_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1625,f103]) ).
fof(f3628,plain,
( ~ sQ224_spl
| ~ sQ53_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3622,f81]) ).
fof(f3629,plain,
( ~ sQ224_spl
| ~ sQ53_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f3628]) ).
fof(f3646,plain,
( ~ sQ135_spl
| ~ sQ130_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f574,f2440]) ).
fof(f3648,plain,
( ~ sQ205_spl
| ~ sQ130_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f574,f3033]) ).
fof(f3653,plain,
( ~ sQ135_spl
| ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3646,f87]) ).
fof(f3654,plain,
( ~ sQ135_spl
| ~ sQ130_spl ),
inference(contradiction_clause,[status(thm)],[f3653]) ).
fof(f3655,plain,
( ~ sQ205_spl
| ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3648,f90]) ).
fof(f3656,plain,
( ~ sQ205_spl
| ~ sQ130_spl ),
inference(contradiction_clause,[status(thm)],[f3655]) ).
fof(f3658,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3473,f76]) ).
fof(f3659,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f3658]) ).
fof(f3661,plain,
( ~ sQ176_spl
| ~ sQ181_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f747,f2878]) ).
fof(f3667,plain,
( ~ sQ176_spl
| ~ sQ181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3661,f88]) ).
fof(f3668,plain,
( ~ sQ176_spl
| ~ sQ181_spl ),
inference(contradiction_clause,[status(thm)],[f3667]) ).
fof(f3675,plain,
( ~ sQ82_spl
| ~ sQ56_spl
| product2(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f1552,f410]) ).
fof(f3676,plain,
( ~ sQ82_spl
| ~ sQ56_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f3675,f869,f321,f409]) ).
fof(f3677,plain,
( ~ sQ214_spl
| ~ sQ164_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f2594,f857]) ).
fof(f3678,plain,
( ~ sQ214_spl
| ~ sQ164_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3677,f79]) ).
fof(f3679,plain,
( ~ sQ214_spl
| ~ sQ164_spl ),
inference(contradiction_clause,[status(thm)],[f3678]) ).
fof(f3680,plain,
( ~ sQ47_spl
| ~ sQ27_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1334,f288]) ).
fof(f3681,plain,
( ~ sQ47_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3680,f76]) ).
fof(f3682,plain,
( ~ sQ47_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f3681]) ).
fof(f3683,plain,
( ~ sQ21_spl
| ~ sQ49_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f3369,f828,f293,f199]) ).
fof(f3684,plain,
( ~ sQ39_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3366,f74]) ).
fof(f3685,plain,
( ~ sQ39_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3684]) ).
fof(f3686,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3419,f84]) ).
fof(f3687,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f3686]) ).
fof(f3688,plain,
( ~ sQ59_spl
| ~ sQ82_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f3565,f614,f409,f330]) ).
fof(f3689,plain,
( ~ sQ35_spl
| ~ sQ113_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2110,f967,f513,f249]) ).
fof(f3690,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3409,f88]) ).
fof(f3691,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f3690]) ).
fof(f3692,plain,
( ~ sQ23_spl
| ~ sQ49_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f3368,f658,f293,f205]) ).
fof(f3693,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2509,f80]) ).
fof(f3694,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f3693]) ).
fof(f3695,plain,
( ~ sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2372,f80]) ).
fof(f3696,plain,
~ sQ144_spl,
inference(contradiction_clause,[status(thm)],[f3695]) ).
fof(f3697,plain,
( ~ sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2624,f92]) ).
fof(f3698,plain,
~ sQ159_spl,
inference(contradiction_clause,[status(thm)],[f3697]) ).
fof(f3699,plain,
( ~ sQ249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3090,f89]) ).
fof(f3700,plain,
~ sQ249_spl,
inference(contradiction_clause,[status(thm)],[f3699]) ).
fof(f3701,plain,
( ~ sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2648,f83]) ).
fof(f3702,plain,
~ sQ157_spl,
inference(contradiction_clause,[status(thm)],[f3701]) ).
fof(f3706,plain,
( ~ sQ69_spl
| ~ sQ18_spl
| ~ sQ236_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f3194,f1490]) ).
fof(f3707,plain,
( ~ sQ69_spl
| ~ sQ18_spl
| ~ sQ236_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3706,f85]) ).
fof(f3708,plain,
( ~ sQ69_spl
| ~ sQ18_spl
| ~ sQ236_spl ),
inference(contradiction_clause,[status(thm)],[f3707]) ).
fof(f3718,plain,
( ~ sQ130_spl
| ~ sQ132_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f580,f2464]) ).
fof(f3721,plain,
( ~ sQ207_spl
| ~ sQ132_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f580,f3016]) ).
fof(f3726,plain,
( ~ sQ130_spl
| ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3718,f81]) ).
fof(f3727,plain,
( ~ sQ130_spl
| ~ sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f3726]) ).
fof(f3731,plain,
( ~ sQ101_spl
| ~ sQ25_spl
| product2(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f218,f2263]) ).
fof(f3736,plain,
( ~ sQ101_spl
| ~ sQ25_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f3731,f840,f217,f475]) ).
fof(f3737,plain,
( sQ161_spl
| ~ sQ69_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f679,f1490]) ).
fof(f3738,plain,
( sQ161_spl
| ~ sQ69_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3737]) ).
fof(f3741,plain,
( ~ sQ101_spl
| ~ sQ51_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f306,f2260]) ).
fof(f3743,plain,
( ~ sQ75_spl
| ~ sQ51_spl
| product2(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f306,f1914]) ).
fof(f3748,plain,
( ~ sQ101_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3741,f81]) ).
fof(f3749,plain,
( ~ sQ101_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3748]) ).
fof(f3750,plain,
( ~ sQ207_spl
| ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3721,f90]) ).
fof(f3751,plain,
( ~ sQ207_spl
| ~ sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f3750]) ).
fof(f3752,plain,
( ~ sQ242_spl
| ~ sQ25_spl
| ~ sQ78_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1893,f3125]) ).
fof(f3753,plain,
( ~ sQ194_spl
| ~ sQ25_spl
| ~ sQ78_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1893,f2745]) ).
fof(f3757,plain,
( ~ sQ242_spl
| ~ sQ25_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3752,f91]) ).
fof(f3758,plain,
( ~ sQ242_spl
| ~ sQ25_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f3757]) ).
fof(f3759,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ51_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3743,f107]) ).
fof(f3760,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ51_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f3743,f105]) ).
fof(f3761,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f3743,f103]) ).
fof(f3765,plain,
( ~ sQ25_spl
| ~ sQ103_spl
| product2(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f2251,f218]) ).
fof(f3766,plain,
( ~ sQ25_spl
| ~ sQ103_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f3765,f670,f481,f217]) ).
fof(f3767,plain,
( ~ sQ25_spl
| ~ sQ101_spl
| product2(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f2263,f218]) ).
fof(f3771,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ101_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3767,f107]) ).
fof(f3772,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ101_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f3767,f105]) ).
fof(f3773,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ101_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f3767,f103]) ).
fof(f3780,plain,
( ~ sQ69_spl
| ~ sQ18_spl
| ~ sQ151_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2693,f1490]) ).
fof(f3781,plain,
( ~ sQ69_spl
| ~ sQ18_spl
| ~ sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3780,f84]) ).
fof(f3782,plain,
( ~ sQ69_spl
| ~ sQ18_spl
| ~ sQ151_spl ),
inference(contradiction_clause,[status(thm)],[f3781]) ).
fof(f3786,plain,
( ~ sQ6_spl
| ~ sQ59_spl
| product2(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f331,f1114]) ).
fof(f3794,plain,
( ~ sQ59_spl
| ~ sQ82_spl
| product2(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f410,f1533]) ).
fof(f3799,plain,
( ~ sQ46_spl
| ~ sQ73_spl
| ~ sQ6_spl
| ~ sQ59_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f3786,f1379]) ).
fof(f3800,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ59_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3786,f107]) ).
fof(f3801,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ59_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3786,f105]) ).
fof(f3802,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ59_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f3786,f103]) ).
fof(f3803,plain,
( ~ sQ46_spl
| ~ sQ73_spl
| ~ sQ6_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3799,f85]) ).
fof(f3804,plain,
( ~ sQ46_spl
| ~ sQ73_spl
| ~ sQ6_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f3803]) ).
fof(f3820,plain,
( ~ sQ25_spl
| ~ sQ75_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1911,f218]) ).
fof(f3821,plain,
( ~ sQ25_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3820,f86]) ).
fof(f3822,plain,
( ~ sQ25_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f3821]) ).
fof(f3823,plain,
( ~ sQ77_spl
| ~ sQ101_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f2259,f803,f475,f393]) ).
fof(f3836,plain,
( ~ sQ25_spl
| ~ sQ102_spl
| product2(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f2257,f218]) ).
fof(f3837,plain,
( ~ sQ25_spl
| ~ sQ102_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f3836,f755,f478,f217]) ).
fof(f3838,plain,
( ~ sQ6_spl
| ~ sQ59_spl
| ~ sQ210_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2987,f3786]) ).
fof(f3839,plain,
( ~ sQ6_spl
| ~ sQ59_spl
| ~ sQ210_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3838,f85]) ).
fof(f3840,plain,
( ~ sQ6_spl
| ~ sQ59_spl
| ~ sQ210_spl ),
inference(contradiction_clause,[status(thm)],[f3839]) ).
fof(f3841,plain,
( ~ sQ180_spl
| ~ sQ205_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3512,f78]) ).
fof(f3842,plain,
( ~ sQ180_spl
| ~ sQ205_spl ),
inference(contradiction_clause,[status(thm)],[f3841]) ).
fof(f3843,plain,
( sQ213_spl
| ~ sQ6_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f855,f3786]) ).
fof(f3844,plain,
( sQ213_spl
| ~ sQ6_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f3843]) ).
fof(f3845,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2038,f107]) ).
fof(f3846,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2038,f105]) ).
fof(f3847,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2038,f103]) ).
fof(f3848,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ25_spl
| equalish(X0,e_1)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1593,f107]) ).
fof(f3849,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ25_spl
| equalish(X0,e_3)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1593,f105]) ).
fof(f3850,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ25_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1593,f103]) ).
fof(f3854,plain,
( ~ sQ82_spl
| ~ sQ6_spl
| product2(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f152,f1872]) ).
fof(f3862,plain,
( ~ sQ114_spl
| ~ sQ10_spl
| product2(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f165,f2023]) ).
fof(f3867,plain,
( ~ sQ114_spl
| ~ sQ10_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f3862,f563,f164,f516]) ).
fof(f3868,plain,
( ~ sQ138_spl
| ~ sQ213_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2961,f80]) ).
fof(f3869,plain,
( ~ sQ138_spl
| ~ sQ213_spl ),
inference(contradiction_clause,[status(thm)],[f3868]) ).
fof(f3870,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f1609,f938,f148,f330]) ).
fof(f3871,plain,
( ~ sQ82_spl
| ~ sQ6_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f3854,f736,f151,f409]) ).
fof(f3891,plain,
( ~ sQ232_spl
| ~ sQ132_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f2456,f920]) ).
fof(f3892,plain,
( ~ sQ232_spl
| ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3891,f76]) ).
fof(f3893,plain,
( ~ sQ232_spl
| ~ sQ132_spl ),
inference(contradiction_clause,[status(thm)],[f3892]) ).
fof(f3894,plain,
( ~ sQ82_spl
| ~ sQ97_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1655,f410]) ).
fof(f3895,plain,
( ~ sQ82_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3894,f85]) ).
fof(f3896,plain,
( ~ sQ82_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f3895]) ).
fof(f3897,plain,
( ~ sQ5_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2183,f85]) ).
fof(f3898,plain,
( ~ sQ5_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f3897]) ).
fof(f3899,plain,
( ~ sQ228_spl
| ~ sQ82_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3604,f80]) ).
fof(f3900,plain,
( ~ sQ228_spl
| ~ sQ82_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f3899]) ).
fof(f3901,plain,
( ~ sQ69_spl
| ~ sQ15_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f1484,f932,f180,f362]) ).
fof(f3911,plain,
( ~ sQ46_spl
| ~ sQ73_spl
| product2(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f376,f1184]) ).
fof(f3925,plain,
( ~ sQ35_spl
| ~ sQ85_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f420,f1280]) ).
fof(f3927,plain,
( ~ sQ111_spl
| ~ sQ85_spl
| product2(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f420,f2130]) ).
fof(f3932,plain,
( ~ sQ35_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3925,f79]) ).
fof(f3933,plain,
( ~ sQ35_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f3932]) ).
fof(f3934,plain,
( ~ sQ111_spl
| ~ sQ85_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f3927,f866,f419,f507]) ).
fof(f3935,plain,
( ~ sQ217_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2941,f82]) ).
fof(f3936,plain,
~ sQ217_spl,
inference(contradiction_clause,[status(thm)],[f3935]) ).
fof(f3937,plain,
( ~ sQ21_spl
| ~ sQ74_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1345,f844,f378,f199]) ).
fof(f3938,plain,
( ~ sQ88_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3614,f83]) ).
fof(f3939,plain,
( ~ sQ88_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f3938]) ).
fof(f3940,plain,
( ~ sQ53_spl
| ~ sQ26_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f1625,f856,f220,f311]) ).
fof(f3980,plain,
( ~ sQ55_spl
| ~ sQ106_spl
| product2(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f2160,f319]) ).
fof(f3981,plain,
( ~ sQ55_spl
| ~ sQ106_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f3980,f853,f491,f318]) ).
fof(f3982,plain,
( ~ sQ55_spl
| ~ sQ107_spl
| product2(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f2156,f319]) ).
fof(f3983,plain,
( ~ sQ55_spl
| ~ sQ107_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f3982,f768,f494,f318]) ).
fof(f3984,plain,
( ~ sQ55_spl
| ~ sQ106_spl
| product2(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f2160,f319]) ).
fof(f3985,plain,
( ~ sQ46_spl
| ~ sQ73_spl
| ~ sQ55_spl
| ~ sQ106_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f3984,f1379]) ).
fof(f3986,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ106_spl
| equalish(X0,e_2)
| ~ product2(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3984,f107]) ).
fof(f3987,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ106_spl
| equalish(X0,e_3)
| ~ product2(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f3984,f105]) ).
fof(f3988,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ106_spl
| equalish(X0,e_4)
| ~ product2(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f3984,f103]) ).
fof(f3989,plain,
( ~ sQ46_spl
| ~ sQ73_spl
| ~ sQ55_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3985,f85]) ).
fof(f3990,plain,
( ~ sQ46_spl
| ~ sQ73_spl
| ~ sQ55_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f3989]) ).
fof(f3994,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| ~ sQ196_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2735,f1195]) ).
fof(f3995,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| ~ sQ196_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3994,f85]) ).
fof(f3996,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| ~ sQ196_spl ),
inference(contradiction_clause,[status(thm)],[f3995]) ).
fof(f3999,plain,
( ~ sQ17_spl
| ~ sQ117_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f527,f1037]) ).
fof(f4001,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| product2(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f527,f1420]) ).
fof(f4006,plain,
( ~ sQ17_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3999,f76]) ).
fof(f4007,plain,
( ~ sQ17_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f4006]) ).
fof(f4008,plain,
( ~ sQ68_spl
| ~ sQ117_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f4001,f709,f526,f359]) ).
fof(f4009,plain,
( ~ sQ167_spl
| ~ sQ111_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3352,f73]) ).
fof(f4010,plain,
( ~ sQ167_spl
| ~ sQ111_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f4009]) ).
fof(f4014,plain,
( ~ sQ44_spl
| ~ sQ68_spl
| product2(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f360,f1199]) ).
fof(f4019,plain,
( ~ sQ44_spl
| ~ sQ68_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f4014,f592,f359,f277]) ).
fof(f4033,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| ~ sQ231_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f3257,f1195]) ).
fof(f4034,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| ~ sQ231_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4033,f81]) ).
fof(f4035,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| ~ sQ231_spl ),
inference(contradiction_clause,[status(thm)],[f4034]) ).
fof(f4036,plain,
( ~ sQ68_spl
| ~ sQ53_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1566,f360]) ).
fof(f4037,plain,
( ~ sQ68_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4036,f80]) ).
fof(f4038,plain,
( ~ sQ68_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f4037]) ).
fof(f4039,plain,
( ~ sQ68_spl
| ~ sQ73_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1374,f360]) ).
fof(f4040,plain,
( ~ sQ68_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4039,f77]) ).
fof(f4041,plain,
( ~ sQ68_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f4040]) ).
fof(f4042,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ82_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3794,f107]) ).
fof(f4043,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ82_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f3794,f105]) ).
fof(f4044,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ82_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f3794,f103]) ).
fof(f4048,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ15_spl
| equalish(X0,e_1)
| ~ product2(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1244,f107]) ).
fof(f4049,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ15_spl
| equalish(X0,e_4)
| ~ product2(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1244,f105]) ).
fof(f4050,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ15_spl
| equalish(X0,e_2)
| ~ product2(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1244,f103]) ).
fof(f4051,plain,
( ~ sQ88_spl
| ~ sQ35_spl
| ~ sQ77_spl
| ~ sQ50_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1934,f2179]) ).
fof(f4052,plain,
( ~ sQ239_spl
| ~ sQ77_spl
| ~ sQ50_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1934,f3181]) ).
fof(f4056,plain,
( ~ sQ88_spl
| ~ sQ35_spl
| ~ sQ77_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4051,f91]) ).
fof(f4057,plain,
( ~ sQ88_spl
| ~ sQ35_spl
| ~ sQ77_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f4056]) ).
fof(f4058,plain,
( ~ sQ17_spl
| ~ sQ44_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1195,f746,f277,f186]) ).
fof(f4068,plain,
( ~ sQ35_spl
| ~ sQ88_spl
| product2(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f429,f1283]) ).
fof(f4079,plain,
( ~ sQ111_spl
| ~ sQ106_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2158,f508]) ).
fof(f4080,plain,
( ~ sQ111_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4079,f83]) ).
fof(f4081,plain,
( ~ sQ111_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f4080]) ).
fof(f4082,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ101_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3767,f107]) ).
fof(f4083,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ101_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f3767,f105]) ).
fof(f4084,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ101_spl
| equalish(X0,e_5)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f3767,f103]) ).
fof(f4085,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ78_spl
| equalish(X0,e_4)
| ~ product2(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2349,f107]) ).
fof(f4086,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ78_spl
| equalish(X0,e_1)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2349,f105]) ).
fof(f4087,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ78_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2349,f103]) ).
fof(f4088,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ78_spl
| equalish(X0,e_1)
| ~ product2(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1893,f107]) ).
fof(f4089,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ78_spl
| equalish(X0,e_2)
| ~ product2(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1893,f105]) ).
fof(f4090,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ78_spl
| equalish(X0,e_5)
| ~ product2(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1893,f103]) ).
fof(f4106,plain,
( ~ sQ111_spl
| ~ sQ89_spl
| product2(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1787,f508]) ).
fof(f4107,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ89_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f4106,f107]) ).
fof(f4108,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ89_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f4106,f105]) ).
fof(f4109,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ89_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f4106,f103]) ).
fof(f4112,plain,
( ~ sQ18_spl
| ~ sQ44_spl
| product2(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f278,f1032]) ).
fof(f4118,plain,
( ~ sQ18_spl
| ~ sQ44_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f4112,f661,f277,f189]) ).
fof(f4122,plain,
( ~ sQ111_spl
| ~ sQ35_spl
| product2(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f250,f2130]) ).
fof(f4127,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2038,f107]) ).
fof(f4128,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2038,f105]) ).
fof(f4129,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2038,f103]) ).
fof(f4130,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ35_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f4122,f107]) ).
fof(f4131,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ35_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f4122,f105]) ).
fof(f4132,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ35_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f4122,f103]) ).
fof(f4133,plain,
( ~ sQ111_spl
| ~ sQ89_spl
| ~ sQ59_spl
| ~ sQ107_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f2189,f4106]) ).
fof(f4134,plain,
( ~ sQ111_spl
| ~ sQ89_spl
| ~ sQ59_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4133,f83]) ).
fof(f4135,plain,
( ~ sQ111_spl
| ~ sQ89_spl
| ~ sQ59_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f4134]) ).
fof(f4136,plain,
( sQ207_spl
| ~ sQ111_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f836,f4122]) ).
fof(f4137,plain,
( sQ207_spl
| ~ sQ111_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f4136]) ).
fof(f4162,plain,
( ~ sQ47_spl
| ~ sQ23_spl
| product2(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f206,f1175]) ).
fof(f4168,plain,
( ~ sQ190_spl
| ~ sQ47_spl
| ~ sQ23_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f4162,f2767]) ).
fof(f4171,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ23_spl
| equalish(X0,e_3)
| ~ product2(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f4162,f107]) ).
fof(f4172,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ23_spl
| equalish(X0,e_5)
| ~ product2(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f4162,f105]) ).
fof(f4173,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ23_spl
| equalish(X0,e_1)
| ~ product2(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f4162,f103]) ).
fof(f4174,plain,
( ~ sQ190_spl
| ~ sQ47_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4168,f90]) ).
fof(f4175,plain,
( ~ sQ190_spl
| ~ sQ47_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f4174]) ).
fof(f4179,plain,
( ~ sQ107_spl
| ~ sQ80_spl
| product2(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f404,f3543]) ).
fof(f4187,plain,
( ~ sQ243_spl
| ~ sQ107_spl
| ~ sQ80_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f4179,f3118]) ).
fof(f4188,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ80_spl
| equalish(X0,e_3)
| ~ product2(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f4179,f107]) ).
fof(f4189,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ80_spl
| equalish(X0,e_2)
| ~ product2(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f4179,f105]) ).
fof(f4190,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ80_spl
| equalish(X0,e_4)
| ~ product2(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f4179,f103]) ).
fof(f4191,plain,
( ~ sQ243_spl
| ~ sQ107_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4187,f81]) ).
fof(f4192,plain,
( ~ sQ243_spl
| ~ sQ107_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f4191]) ).
fof(f4196,plain,
( ~ sQ80_spl
| ~ sQ6_spl
| product2(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f152,f1883]) ).
fof(f4204,plain,
( ~ sQ59_spl
| ~ sQ107_spl
| product2(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f495,f1533]) ).
fof(f4212,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_5)
| ~ product2(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f631,f107]) ).
fof(f4213,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_1)
| ~ product2(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f631,f105]) ).
fof(f4214,plain,
! [X0] :
( ~ sQ148_spl
| equalish(X0,e_4)
| ~ product2(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f631,f103]) ).
fof(f4215,plain,
( ~ sQ227_spl
| ~ sQ80_spl
| ~ sQ6_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f4196,f3287]) ).
fof(f4216,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ6_spl
| equalish(X0,e_1)
| ~ product2(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f4196,f107]) ).
fof(f4217,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ6_spl
| equalish(X0,e_5)
| ~ product2(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f4196,f105]) ).
fof(f4218,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ6_spl
| equalish(X0,e_4)
| ~ product2(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f4196,f103]) ).
fof(f4219,plain,
( ~ sQ227_spl
| ~ sQ80_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4215,f87]) ).
fof(f4220,plain,
( ~ sQ227_spl
| ~ sQ80_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f4219]) ).
fof(f4239,plain,
( ~ sQ78_spl
| ~ sQ88_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f429,f1895]) ).
fof(f4242,plain,
( ~ sQ39_spl
| ~ sQ88_spl
| product2(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f429,f1229]) ).
fof(f4247,plain,
( ~ sQ78_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4239,f84]) ).
fof(f4248,plain,
( ~ sQ78_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f4247]) ).
fof(f4252,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ88_spl
| equalish(X0,e_5)
| ~ product2(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f4242,f107]) ).
fof(f4253,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ88_spl
| equalish(X0,e_2)
| ~ product2(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f4242,f105]) ).
fof(f4254,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ88_spl
| equalish(X0,e_3)
| ~ product2(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f4242,f103]) ).
fof(f4258,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product2(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2038,f107]) ).
fof(f4259,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_1)
| ~ product2(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f2038,f105]) ).
fof(f4260,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ42_spl
| equalish(X0,e_2)
| ~ product2(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f2038,f103]) ).
fof(f4261,plain,
( ~ sQ244_spl
| ~ sQ75_spl
| ~ sQ26_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f3588,f3115]) ).
fof(f4262,plain,
( ~ sQ184_spl
| ~ sQ75_spl
| ~ sQ26_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f3588,f2823]) ).
fof(f4266,plain,
( ~ sQ244_spl
| ~ sQ75_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4261,f86]) ).
fof(f4267,plain,
( ~ sQ244_spl
| ~ sQ75_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f4266]) ).
fof(f4274,plain,
( ~ sQ59_spl
| ~ sQ5_spl
| product2(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1139,f331]) ).
fof(f4284,plain,
( ~ sQ148_spl
| ~ sQ118_spl
| ~ sQ44_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2196,f631]) ).
fof(f4285,plain,
( ~ sQ148_spl
| ~ sQ118_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4284,f86]) ).
fof(f4286,plain,
( ~ sQ148_spl
| ~ sQ118_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f4285]) ).
fof(f4302,plain,
( ~ sQ59_spl
| ~ sQ74_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1347,f331]) ).
fof(f4303,plain,
( ~ sQ59_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4302,f85]) ).
fof(f4304,plain,
( ~ sQ59_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f4303]) ).
fof(f4324,plain,
( ~ sQ59_spl
| ~ sQ69_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1414,f331]) ).
fof(f4325,plain,
( ~ sQ59_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4324,f86]) ).
fof(f4326,plain,
( ~ sQ59_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f4325]) ).
fof(f4360,plain,
( ~ sQ26_spl
| ~ sQ103_spl
| product2(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f482,f1340]) ).
fof(f4413,plain,
( ~ sQ119_spl
| ~ sQ40_spl
| product2(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f266,f1996]) ).
fof(f4421,plain,
( ~ sQ77_spl
| ~ sQ26_spl
| product2(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f221,f1903]) ).
fof(f4429,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ26_spl
| equalish(X0,e_3)
| ~ product2(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4421,f107]) ).
fof(f4430,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ26_spl
| equalish(X0,e_4)
| ~ product2(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f4421,f105]) ).
fof(f4431,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ26_spl
| equalish(X0,e_5)
| ~ product2(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f4421,f103]) ).
fof(f4435,plain,
( ~ sQ68_spl
| ~ sQ17_spl
| product2(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f187,f1420]) ).
fof(f4443,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ17_spl
| equalish(X0,e_4)
| ~ product2(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f4435,f107]) ).
fof(f4444,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ17_spl
| equalish(X0,e_5)
| ~ product2(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f4435,f105]) ).
fof(f4445,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ17_spl
| equalish(X0,e_2)
| ~ product2(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f4435,f103]) ).
fof(f4449,plain,
( ~ sQ71_spl
| ~ sQ47_spl
| product2(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f288,f1400]) ).
fof(f4457,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ47_spl
| equalish(X0,e_2)
| ~ product2(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f4449,f107]) ).
fof(f4458,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ47_spl
| equalish(X0,e_4)
| ~ product2(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f4449,f105]) ).
fof(f4459,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ47_spl
| equalish(X0,e_1)
| ~ product2(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f4449,f103]) ).
fof(f4463,plain,
( ~ sQ23_spl
| ~ sQ99_spl
| product2(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f464,f995]) ).
fof(f4491,plain,
( ~ sQ99_spl
| ~ sQ71_spl
| product2(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f370,f1649]) ).
fof(f4499,plain,
( ~ sQ103_spl
| ~ sQ50_spl
| product2(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f303,f2251]) ).
fof(f4507,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ50_spl
| equalish(X0,e_4)
| ~ product2(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f4499,f107]) ).
fof(f4508,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ50_spl
| equalish(X0,e_3)
| ~ product2(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f4499,f105]) ).
fof(f4509,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ50_spl
| equalish(X0,e_5)
| ~ product2(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f4499,f103]) ).
fof(f4519,plain,
( ~ sQ111_spl
| ~ sQ10_spl
| product2(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f165,f2130]) ).
fof(f4527,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ10_spl
| equalish(X0,e_2)
| ~ product2(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f4519,f107]) ).
fof(f4528,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ10_spl
| equalish(X0,e_5)
| ~ product2(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f4519,f105]) ).
fof(f4529,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ10_spl
| equalish(X0,e_3)
| ~ product2(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f4519,f103]) ).
fof(f4533,plain,
( ~ sQ10_spl
| ~ sQ39_spl
| product2(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f262,f1089]) ).
fof(f4541,plain,
( ~ sQ17_spl
| ~ sQ119_spl
| product2(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f533,f1040]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sQ4_spl
| ~ sQ5_spl
| sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| sQ17_spl
| ~ sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| ~ sQ21_spl
| ~ sQ22_spl
| sQ23_spl
| ~ sQ24_spl
| ~ sQ25_spl
| sQ26_spl
| ~ sQ27_spl
| ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| sQ33_spl
| ~ sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| sQ39_spl
| sQ40_spl
| ~ sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| sQ47_spl
| ~ sQ48_spl
| ~ sQ49_spl
| sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ57_spl
| ~ sQ58_spl
| sQ59_spl
| ~ sQ60_spl
| ~ sQ61_spl
| sQ62_spl
| ~ sQ63_spl
| ~ sQ64_spl
| ~ sQ65_spl
| ~ sQ66_spl
| ~ sQ67_spl
| sQ68_spl
| ~ sQ69_spl
| ~ sQ70_spl
| sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl
| sQ77_spl
| ~ sQ78_spl
| ~ sQ79_spl
| sQ80_spl
| ~ sQ81_spl
| ~ sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| ~ sQ86_spl
| ~ sQ87_spl
| sQ88_spl
| ~ sQ89_spl
| ~ sQ90_spl
| sQ91_spl
| ~ sQ92_spl
| ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| ~ sQ96_spl
| ~ sQ97_spl
| sQ99_spl
| ~ sQ100_spl
| ~ sQ101_spl
| sQ103_spl
| ~ sQ104_spl
| ~ sQ105_spl
| ~ sQ106_spl
| sQ107_spl
| ~ sQ108_spl
| ~ sQ110_spl
| sQ111_spl
| ~ sQ112_spl
| ~ sQ113_spl
| ~ sQ114_spl
| ~ sQ115_spl
| ~ sQ116_spl
| ~ sQ117_spl
| ~ sQ118_spl
| sQ119_spl
| sQ120_spl
| ~ sQ121_spl
| ~ sQ122_spl
| ~ sQ123_spl
| ~ sQ124_spl
| ~ sQ125_spl
| ~ sQ126_spl
| ~ sQ127_spl
| ~ sQ128_spl
| sQ129_spl
| ~ sQ130_spl
| sQ131_spl
| ~ sQ132_spl
| ~ sQ133_spl
| ~ sQ134_spl
| sQ135_spl
| ~ sQ136_spl
| ~ sQ137_spl
| ~ sQ138_spl
| ~ sQ139_spl
| ~ sQ140_spl
| ~ sQ141_spl
| sQ142_spl
| ~ sQ143_spl
| ~ sQ144_spl
| ~ sQ145_spl
| ~ sQ146_spl
| sQ148_spl
| ~ sQ149_spl
| ~ sQ150_spl
| sQ151_spl
| ~ sQ152_spl
| ~ sQ153_spl
| ~ sQ154_spl
| ~ sQ155_spl
| ~ sQ156_spl
| ~ sQ157_spl
| sQ158_spl
| ~ sQ159_spl
| ~ sQ160_spl
| ~ sQ161_spl
| ~ sQ162_spl
| ~ sQ163_spl
| sQ164_spl
| sQ165_spl
| ~ sQ166_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ170_spl
| ~ sQ171_spl
| sQ172_spl
| ~ sQ173_spl
| ~ sQ174_spl
| sQ175_spl
| ~ sQ176_spl
| ~ sQ177_spl
| ~ sQ178_spl
| ~ sQ179_spl
| ~ sQ180_spl
| ~ sQ181_spl
| ~ sQ182_spl
| ~ sQ183_spl
| sQ184_spl
| ~ sQ185_spl
| ~ sQ186_spl
| sQ187_spl
| ~ sQ188_spl
| ~ sQ189_spl
| ~ sQ190_spl
| ~ sQ191_spl
| ~ sQ192_spl
| sQ193_spl
| ~ sQ194_spl
| ~ sQ195_spl
| sQ196_spl
| ~ sQ197_spl
| ~ sQ198_spl
| ~ sQ200_spl
| ~ sQ201_spl
| sQ202_spl
| ~ sQ204_spl
| sQ205_spl
| ~ sQ206_spl
| ~ sQ207_spl
| ~ sQ208_spl
| ~ sQ209_spl
| ~ sQ210_spl
| ~ sQ211_spl
| ~ sQ212_spl
| sQ213_spl
| ~ sQ214_spl
| ~ sQ215_spl
| sQ216_spl
| ~ sQ217_spl
| ~ sQ218_spl
| ~ sQ219_spl
| ~ sQ220_spl
| ~ sQ221_spl
| sQ224_spl
| ~ sQ225_spl
| ~ sQ226_spl
| ~ sQ227_spl
| sQ228_spl
| ~ sQ229_spl
| ~ sQ230_spl
| ~ sQ231_spl
| sQ232_spl
| ~ sQ233_spl
| ~ sQ235_spl
| sQ236_spl
| ~ sQ237_spl
| ~ sQ238_spl
| ~ sQ239_spl
| ~ sQ240_spl
| ~ sQ241_spl
| ~ sQ242_spl
| ~ sQ243_spl
| sQ244_spl
| sQ245_spl
| ~ sQ246_spl
| ~ sQ247_spl
| ~ sQ249_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP123-7.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.65 % Computer : n015.cluster.edu
% 0.16/0.65 % Model : x86_64 x86_64
% 0.16/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.65 % Memory : 8046.5625MB
% 0.16/0.65 % OS : Linux 6.8.0-71-generic
% 0.16/0.65 % CPULimit : 300
% 0.16/0.65 % WCLimit : 300
% 0.16/0.65 % DateTime : Sun Sep 20 20:01:35 UTC 2026
% 0.16/0.66 % CPUTime :
% 0.16/0.67 % Drodi V4.1.1
% 5.68/1.44 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 5.68/1.44 % SZS output start Saturation for theBenchmark
% See solution above
% 5.68/1.49 % Elapsed time: 0.814695 seconds
% 5.68/1.49 % CPU time: 6.042856 seconds
% 5.68/1.49 % Total memory used: 58.069 MB
% 5.68/1.49 % Net memory used: 55.059 MB
%------------------------------------------------------------------------------