%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP124-4.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 12:35:47 PM UTC 2026
% Result : Satisfiable 5.74s 11.28s
% Output : Saturation 0.46s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( product(e_5,X,Y)
| product(e_4,X,Y)
| product(e_3,X,Y)
| product(e_2,X,Y)
| product(e_1,X,Y)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( product(X,e_5,Y)
| product(X,e_4,Y)
| product(X,e_3,Y)
| product(X,e_2,Y)
| product(X,e_1,Y)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,Y] :
( product(X,Y,e_5)
| product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( equalish(X1,X2)
| ~ product(Z2,X2,Y2)
| ~ product(Z2,X1,Y1)
| ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( equalish(Y1,Y2)
| ~ product(Z2,X2,Y2)
| ~ product(Z2,X1,Y1)
| ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,plain,
! [X0,X1] :
( product(e_5,X0,X1)
| product(e_4,X0,X1)
| product(e_3,X0,X1)
| product(e_2,X0,X1)
| product(e_1,X0,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f36,plain,
! [X0,X1] :
( product(X0,e_5,X1)
| product(X0,e_4,X1)
| product(X0,e_3,X1)
| product(X0,e_2,X1)
| product(X0,e_1,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f37,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f38,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f39,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f40,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f41,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f42,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f43,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f44,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f45,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f46,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f47,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f48,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f49,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f50,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f51,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f52,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f53,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f54,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f55,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f56,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f57,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f58,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f59,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f60,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f61,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f62,plain,
! [X0,X1] :
( product(X0,X1,e_5)
| product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f63,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f70,plain,
! [X1,X2] :
( equalish(X1,X2)
| ! [Y2,Z2] :
( ~ product(Z2,X2,Y2)
| ! [Y1] :
( ~ product(Z2,X1,Y1)
| ! [Z1] :
( ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ) ) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4,X5] :
( equalish(X0,X3)
| ~ product(X5,X3,X4)
| ~ product(X5,X0,X1)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
! [Y1,Y2] :
( equalish(Y1,Y2)
| ! [X2,Z2] :
( ~ product(Z2,X2,Y2)
| ! [X1] :
( ~ product(Z2,X1,Y1)
| ! [Z1] :
( ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ) ) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f73,plain,
! [X0,X1,X2,X3,X4,X5] :
( equalish(X1,X4)
| ~ product(X5,X3,X4)
| ~ product(X5,X0,X1)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f69,f64]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X1)
| ~ product(X3,X0,X1)
| ~ product(X3,X2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f69,f73]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X0)
| ~ product(X3,X0,X1)
| ~ product(X3,X2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f69,f71]) ).
fof(f78,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f66,f69]) ).
fof(f79,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f68,f69]) ).
fof(f80,plain,
! [X0,X1] :
( equalish(X1,X1)
| ~ product(X0,X1,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f75,f69]) ).
fof(f81,plain,
! [X0,X1] :
( equalish(X1,X1)
| ~ product(X0,X1,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f80]) ).
fof(f84,plain,
! [X0] :
( product(e_5,e_5,X0)
| product(e_4,e_5,X0)
| product(e_3,e_5,X0)
| product(e_2,e_5,X0)
| product(e_1,e_5,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f35,f41]) ).
fof(f85,plain,
! [X0] :
( product(e_5,e_4,X0)
| product(e_4,e_4,X0)
| product(e_3,e_4,X0)
| product(e_2,e_4,X0)
| product(e_1,e_4,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f35,f40]) ).
fof(f86,plain,
! [X0] :
( product(e_5,e_3,X0)
| product(e_4,e_3,X0)
| product(e_3,e_3,X0)
| product(e_2,e_3,X0)
| product(e_1,e_3,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f35,f39]) ).
fof(f87,plain,
! [X0] :
( product(e_5,e_2,X0)
| product(e_4,e_2,X0)
| product(e_3,e_2,X0)
| product(e_2,e_2,X0)
| product(e_1,e_2,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f35,f38]) ).
fof(f88,plain,
! [X0] :
( product(e_5,e_1,X0)
| product(e_4,e_1,X0)
| product(e_3,e_1,X0)
| product(e_2,e_1,X0)
| product(e_1,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f35,f37]) ).
fof(f89,plain,
! [X0] :
( product(e_5,e_5,X0)
| product(e_5,e_4,X0)
| product(e_5,e_3,X0)
| product(e_5,e_2,X0)
| product(e_5,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f36,f41]) ).
fof(f90,plain,
! [X0] :
( product(e_4,e_5,X0)
| product(e_4,e_4,X0)
| product(e_4,e_3,X0)
| product(e_4,e_2,X0)
| product(e_4,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f36,f40]) ).
fof(f91,plain,
! [X0] :
( product(e_3,e_5,X0)
| product(e_3,e_4,X0)
| product(e_3,e_3,X0)
| product(e_3,e_2,X0)
| product(e_3,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f36,f39]) ).
fof(f92,plain,
! [X0] :
( product(e_2,e_5,X0)
| product(e_2,e_4,X0)
| product(e_2,e_3,X0)
| product(e_2,e_2,X0)
| product(e_2,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f36,f38]) ).
fof(f93,plain,
! [X0] :
( product(e_1,e_5,X0)
| product(e_1,e_4,X0)
| product(e_1,e_3,X0)
| product(e_1,e_2,X0)
| product(e_1,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f36,f37]) ).
fof(f94,plain,
! [X0] :
( product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f62,f41]) ).
fof(f95,plain,
! [X0] :
( product(e_4,X0,e_5)
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f62,f40]) ).
fof(f96,plain,
! [X0] :
( product(e_3,X0,e_5)
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f62,f39]) ).
fof(f97,plain,
! [X0] :
( product(e_2,X0,e_5)
| product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f62,f38]) ).
fof(f98,plain,
! [X0] :
( product(e_1,X0,e_5)
| product(e_1,X0,e_4)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f62,f37]) ).
fof(f99,plain,
( product(e_5,e_5,e_5)
| product(e_4,e_5,e_5)
| product(e_3,e_5,e_5)
| product(e_2,e_5,e_5)
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f84,f41]) ).
fof(f100,plain,
( product(e_5,e_5,e_4)
| product(e_4,e_5,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_5,e_4)
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f84,f40]) ).
fof(f101,plain,
( product(e_5,e_5,e_3)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_3)
| product(e_2,e_5,e_3)
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f84,f39]) ).
fof(f102,plain,
( product(e_5,e_5,e_2)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f84,f38]) ).
fof(f103,plain,
( product(e_5,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f84,f37]) ).
fof(f104,definition,
( sQ0_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f105,plain,
( ~ sQ0_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f106,plain,
( sQ0_spl
| ~ product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,definition,
( sQ1_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( ~ sQ1_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f109,plain,
( sQ1_spl
| ~ product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f110,definition,
( sQ2_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( ~ sQ2_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f112,plain,
( sQ2_spl
| ~ product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,definition,
( sQ3_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ3_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f115,plain,
( sQ3_spl
| ~ product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,definition,
( sQ4_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f99,f104,f107,f110,f113,f116]) ).
fof(f120,definition,
( sQ5_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( ~ sQ5_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f122,plain,
( sQ5_spl
| ~ product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,definition,
( sQ6_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( ~ sQ6_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f125,plain,
( sQ6_spl
| ~ product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,definition,
( sQ7_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f127,plain,
( ~ sQ7_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f128,plain,
( sQ7_spl
| ~ product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,definition,
( sQ8_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ8_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f131,plain,
( sQ8_spl
| ~ product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,definition,
( sQ9_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( ~ sQ9_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f100,f120,f123,f126,f129,f132]) ).
fof(f136,definition,
( sQ10_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ10_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f138,plain,
( sQ10_spl
| ~ product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,definition,
( sQ11_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( ~ sQ11_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f141,plain,
( sQ11_spl
| ~ product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,definition,
( sQ12_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( ~ sQ12_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f144,plain,
( sQ12_spl
| ~ product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,definition,
( sQ13_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ13_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f147,plain,
( sQ13_spl
| ~ product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,definition,
( sQ14_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( ~ sQ14_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f101,f136,f139,f142,f145,f148]) ).
fof(f152,definition,
( sQ15_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( ~ sQ15_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f154,plain,
( sQ15_spl
| ~ product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,definition,
( sQ16_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ16_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f157,plain,
( sQ16_spl
| ~ product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,definition,
( sQ17_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( ~ sQ17_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f160,plain,
( sQ17_spl
| ~ product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,definition,
( sQ18_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( ~ sQ18_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f163,plain,
( sQ18_spl
| ~ product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,definition,
( sQ19_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ19_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f102,f152,f155,f158,f161,f164]) ).
fof(f168,definition,
( sQ20_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( ~ sQ20_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f170,plain,
( sQ20_spl
| ~ product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,definition,
( sQ21_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f172,plain,
( ~ sQ21_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f173,plain,
( sQ21_spl
| ~ product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,definition,
( sQ22_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ22_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f176,plain,
( sQ22_spl
| ~ product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,definition,
( sQ23_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ23_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f179,plain,
( sQ23_spl
| ~ product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,definition,
( sQ24_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ24_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f103,f168,f171,f174,f177,f180]) ).
fof(f184,plain,
( product(e_5,e_4,e_5)
| product(e_4,e_4,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_4,e_5)
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f85,f41]) ).
fof(f185,plain,
( product(e_5,e_4,e_4)
| product(e_4,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f85,f40]) ).
fof(f186,plain,
( product(e_5,e_4,e_3)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f85,f39]) ).
fof(f187,plain,
( product(e_5,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f85,f38]) ).
fof(f188,plain,
( product(e_5,e_4,e_1)
| product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f85,f37]) ).
fof(f189,definition,
( sQ25_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( ~ sQ25_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,definition,
( sQ26_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ26_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,definition,
( sQ27_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( ~ sQ27_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,definition,
( sQ28_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ28_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,definition,
( sQ29_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ29_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f184,f189,f192,f195,f198,f201]) ).
fof(f205,definition,
( sQ30_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ30_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f207,plain,
( sQ30_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,definition,
( sQ31_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ31_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f210,plain,
( sQ31_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,definition,
( sQ32_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ32_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f213,plain,
( sQ32_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
( sQ33_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f217,definition,
( sQ34_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ34_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f219,plain,
( sQ34_spl
| ~ product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f185,f205,f208,f211,f214,f217]) ).
fof(f221,definition,
( sQ35_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( ~ sQ35_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f223,plain,
( sQ35_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,definition,
( sQ36_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ36_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f226,plain,
( sQ36_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,definition,
( sQ37_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ37_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f229,plain,
( sQ37_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ38_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ38_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f232,plain,
( sQ38_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,definition,
( sQ39_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ39_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f235,plain,
( sQ39_spl
| ~ product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f186,f221,f224,f227,f230,f233]) ).
fof(f237,definition,
( sQ40_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( ~ sQ40_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f239,plain,
( sQ40_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,definition,
( sQ41_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ41_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f242,plain,
( sQ41_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,definition,
( sQ42_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ42_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f245,plain,
( sQ42_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,definition,
( sQ43_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ43_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f248,plain,
( sQ43_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,definition,
( sQ44_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ44_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f251,plain,
( sQ44_spl
| ~ product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f187,f237,f240,f243,f246,f249]) ).
fof(f253,definition,
( sQ45_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f254,plain,
( ~ sQ45_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f255,plain,
( sQ45_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f253]) ).
fof(f256,definition,
( sQ46_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ46_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f258,plain,
( sQ46_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,definition,
( sQ47_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ47_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f261,plain,
( sQ47_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,definition,
( sQ48_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ48_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f264,plain,
( sQ48_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ49_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ49_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f188,f253,f256,f259,f262,f265]) ).
fof(f269,plain,
( product(e_5,e_3,e_5)
| product(e_4,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f86,f41]) ).
fof(f270,plain,
( product(e_5,e_3,e_4)
| product(e_4,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f86,f40]) ).
fof(f271,plain,
( product(e_5,e_3,e_3)
| product(e_4,e_3,e_3)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f86,f39]) ).
fof(f272,plain,
( product(e_5,e_3,e_2)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f86,f38]) ).
fof(f273,plain,
( product(e_5,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f86,f37]) ).
fof(f274,definition,
( sQ50_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( ~ sQ50_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,definition,
( sQ51_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( ~ sQ51_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,definition,
( sQ52_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ52_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,definition,
( sQ53_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ53_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,definition,
( sQ54_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ54_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f269,f274,f277,f280,f283,f286]) ).
fof(f290,definition,
( sQ55_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( ~ sQ55_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f292,plain,
( sQ55_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,definition,
( sQ56_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( ~ sQ56_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f295,plain,
( sQ56_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f296,definition,
( sQ57_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( ~ sQ57_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f298,plain,
( sQ57_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,definition,
( sQ58_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( ~ sQ58_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f301,plain,
( sQ58_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,definition,
( sQ59_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ59_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( sQ59_spl
| ~ product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f270,f290,f293,f296,f299,f302]) ).
fof(f306,definition,
( sQ60_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( ~ sQ60_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f308,plain,
( sQ60_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,definition,
( sQ61_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( ~ sQ61_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f311,plain,
( sQ61_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,definition,
( sQ62_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f315,definition,
( sQ63_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ63_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f317,plain,
( sQ63_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,definition,
( sQ64_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ64_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f320,plain,
( sQ64_spl
| ~ product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f271,f306,f309,f312,f315,f318]) ).
fof(f322,definition,
( sQ65_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ65_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f324,plain,
( sQ65_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,definition,
( sQ66_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( ~ sQ66_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f327,plain,
( sQ66_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,definition,
( sQ67_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( ~ sQ67_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f330,plain,
( sQ67_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,definition,
( sQ68_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( ~ sQ68_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f333,plain,
( sQ68_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,definition,
( sQ69_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ69_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f336,plain,
( sQ69_spl
| ~ product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f272,f322,f325,f328,f331,f334]) ).
fof(f338,definition,
( sQ70_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ70_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f340,plain,
( sQ70_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,definition,
( sQ71_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( ~ sQ71_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f343,plain,
( sQ71_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,definition,
( sQ72_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f345,plain,
( ~ sQ72_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f346,plain,
( sQ72_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,definition,
( sQ73_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( ~ sQ73_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f349,plain,
( sQ73_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,definition,
( sQ74_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( ~ sQ74_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f352,plain,
( sQ74_spl
| ~ product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f273,f338,f341,f344,f347,f350]) ).
fof(f354,plain,
( product(e_5,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_2,e_2,e_5)
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f87,f41]) ).
fof(f355,plain,
( product(e_5,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f87,f40]) ).
fof(f356,plain,
( product(e_5,e_2,e_3)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f87,f39]) ).
fof(f357,plain,
( product(e_5,e_2,e_2)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f87,f38]) ).
fof(f358,plain,
( product(e_5,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f87,f37]) ).
fof(f359,definition,
( sQ75_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ75_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ76_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ76_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,definition,
( sQ77_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( ~ sQ77_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,definition,
( sQ78_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( ~ sQ78_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f370,plain,
( sQ78_spl
| ~ product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,definition,
( sQ79_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( ~ sQ79_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f354,f359,f362,f365,f368,f371]) ).
fof(f375,definition,
( sQ80_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ80_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f377,plain,
( sQ80_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,definition,
( sQ81_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( ~ sQ81_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f380,plain,
( sQ81_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,definition,
( sQ82_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f382,plain,
( ~ sQ82_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f383,plain,
( sQ82_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,definition,
( sQ83_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( ~ sQ83_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f386,plain,
( sQ83_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,definition,
( sQ84_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( ~ sQ84_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f389,plain,
( sQ84_spl
| ~ product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f355,f375,f378,f381,f384,f387]) ).
fof(f391,definition,
( sQ85_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( ~ sQ85_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f393,plain,
( sQ85_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,definition,
( sQ86_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f395,plain,
( ~ sQ86_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f396,plain,
( sQ86_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,definition,
( sQ87_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f398,plain,
( ~ sQ87_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f399,plain,
( sQ87_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,definition,
( sQ88_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( ~ sQ88_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f402,plain,
( sQ88_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,definition,
( sQ89_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( ~ sQ89_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f405,plain,
( sQ89_spl
| ~ product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f356,f391,f394,f397,f400,f403]) ).
fof(f407,definition,
( sQ90_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ90_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f409,plain,
( sQ90_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,definition,
( sQ91_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f413,definition,
( sQ92_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( ~ sQ92_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f415,plain,
( sQ92_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,definition,
( sQ93_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( ~ sQ93_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f418,plain,
( sQ93_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,definition,
( sQ94_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( ~ sQ94_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f421,plain,
( sQ94_spl
| ~ product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f357,f407,f410,f413,f416,f419]) ).
fof(f423,definition,
( sQ95_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( ~ sQ95_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f425,plain,
( sQ95_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,definition,
( sQ96_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( ~ sQ96_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f428,plain,
( sQ96_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,definition,
( sQ97_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( ~ sQ97_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f431,plain,
( sQ97_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,definition,
( sQ98_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( ~ sQ98_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f434,plain,
( sQ98_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,definition,
( sQ99_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( ~ sQ99_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f437,plain,
( sQ99_spl
| ~ product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f358,f423,f426,f429,f432,f435]) ).
fof(f439,plain,
( product(e_5,e_1,e_5)
| product(e_4,e_1,e_5)
| product(e_3,e_1,e_5)
| product(e_2,e_1,e_5)
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f88,f41]) ).
fof(f440,plain,
( product(e_5,e_1,e_4)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f88,f40]) ).
fof(f441,plain,
( product(e_5,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f88,f39]) ).
fof(f442,plain,
( product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f88,f38]) ).
fof(f443,plain,
( product(e_5,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f88,f37]) ).
fof(f444,definition,
( sQ100_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( ~ sQ100_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ101_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ101_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ102_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ102_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ103_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ103_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,definition,
( sQ104_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ104_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f439,f444,f447,f450,f453,f456]) ).
fof(f460,definition,
( sQ105_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( ~ sQ105_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f462,plain,
( sQ105_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,definition,
( sQ106_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ106_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f465,plain,
( sQ106_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,definition,
( sQ107_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( ~ sQ107_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f468,plain,
( sQ107_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,definition,
( sQ108_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( ~ sQ108_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f471,plain,
( sQ108_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,definition,
( sQ109_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( ~ sQ109_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f474,plain,
( sQ109_spl
| ~ product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f440,f460,f463,f466,f469,f472]) ).
fof(f476,definition,
( sQ110_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ110_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f478,plain,
( sQ110_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,definition,
( sQ111_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ111_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f481,plain,
( sQ111_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,definition,
( sQ112_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ112_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f484,plain,
( sQ112_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
( sQ113_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ113_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f487,plain,
( sQ113_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,definition,
( sQ114_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ114_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f490,plain,
( sQ114_spl
| ~ product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f441,f476,f479,f482,f485,f488]) ).
fof(f492,definition,
( sQ115_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ115_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f494,plain,
( sQ115_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,definition,
( sQ116_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( ~ sQ116_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f497,plain,
( sQ116_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,definition,
( sQ117_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( ~ sQ117_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f500,plain,
( sQ117_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,definition,
( sQ118_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( ~ sQ118_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f503,plain,
( sQ118_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,definition,
( sQ119_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( ~ sQ119_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f506,plain,
( sQ119_spl
| ~ product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f442,f492,f495,f498,f501,f504]) ).
fof(f508,definition,
( sQ120_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f511,definition,
( sQ121_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( ~ sQ121_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f513,plain,
( sQ121_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,definition,
( sQ122_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( ~ sQ122_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f516,plain,
( sQ122_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,definition,
( sQ123_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( ~ sQ123_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f519,plain,
( sQ123_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,definition,
( sQ124_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( ~ sQ124_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f522,plain,
( sQ124_spl
| ~ product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f443,f508,f511,f514,f517,f520]) ).
fof(f524,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_4,e_5)
| product(e_5,e_3,e_5)
| product(e_5,e_2,e_5)
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f89,f41]) ).
fof(f525,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_4,e_4)
| product(e_5,e_3,e_4)
| product(e_5,e_2,e_4)
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f89,f40]) ).
fof(f526,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_4,e_3)
| product(e_5,e_3,e_3)
| product(e_5,e_2,e_3)
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f89,f39]) ).
fof(f527,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f89,f38]) ).
fof(f528,plain,
( product(e_5,e_5,e_1)
| product(e_5,e_4,e_1)
| product(e_5,e_3,e_1)
| product(e_5,e_2,e_1)
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f89,f37]) ).
fof(f529,plain,
( sQ4_spl
| sQ29_spl
| sQ54_spl
| sQ79_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f524,f456,f371,f286,f201,f116]) ).
fof(f530,plain,
( sQ9_spl
| sQ34_spl
| sQ59_spl
| sQ84_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f525,f472,f387,f302,f217,f132]) ).
fof(f531,plain,
( sQ14_spl
| sQ39_spl
| sQ64_spl
| sQ89_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f526,f488,f403,f318,f233,f148]) ).
fof(f532,plain,
( sQ19_spl
| sQ44_spl
| sQ69_spl
| sQ94_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f527,f504,f419,f334,f249,f164]) ).
fof(f533,plain,
( sQ24_spl
| sQ49_spl
| sQ74_spl
| sQ99_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f528,f520,f435,f350,f265,f180]) ).
fof(f534,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_4,e_5)
| product(e_4,e_3,e_5)
| product(e_4,e_2,e_5)
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f90,f41]) ).
fof(f535,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f90,f40]) ).
fof(f536,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_4,e_3)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f90,f39]) ).
fof(f537,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f90,f38]) ).
fof(f538,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_4,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f90,f37]) ).
fof(f539,plain,
( sQ3_spl
| sQ28_spl
| sQ53_spl
| sQ78_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f534,f453,f368,f283,f198,f113]) ).
fof(f540,plain,
( sQ8_spl
| sQ33_spl
| sQ58_spl
| sQ83_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f535,f469,f384,f299,f214,f129]) ).
fof(f541,plain,
( sQ13_spl
| sQ38_spl
| sQ63_spl
| sQ88_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f536,f485,f400,f315,f230,f145]) ).
fof(f542,plain,
( sQ18_spl
| sQ43_spl
| sQ68_spl
| sQ93_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f537,f501,f416,f331,f246,f161]) ).
fof(f543,plain,
( sQ23_spl
| sQ48_spl
| sQ73_spl
| sQ98_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f538,f517,f432,f347,f262,f177]) ).
fof(f544,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_5)
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f91,f41]) ).
fof(f545,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f91,f40]) ).
fof(f546,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_4,e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f91,f39]) ).
fof(f547,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f91,f38]) ).
fof(f548,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f91,f37]) ).
fof(f549,plain,
( sQ2_spl
| sQ27_spl
| sQ52_spl
| sQ77_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f544,f450,f365,f280,f195,f110]) ).
fof(f550,plain,
( sQ7_spl
| sQ32_spl
| sQ57_spl
| sQ82_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f545,f466,f381,f296,f211,f126]) ).
fof(f551,plain,
( sQ12_spl
| sQ37_spl
| sQ62_spl
| sQ87_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f546,f482,f397,f312,f227,f142]) ).
fof(f552,plain,
( sQ17_spl
| sQ42_spl
| sQ67_spl
| sQ92_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f547,f498,f413,f328,f243,f158]) ).
fof(f553,plain,
( sQ22_spl
| sQ47_spl
| sQ72_spl
| sQ97_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f548,f514,f429,f344,f259,f174]) ).
fof(f554,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f92,f41]) ).
fof(f555,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f92,f40]) ).
fof(f556,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f92,f39]) ).
fof(f557,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f92,f38]) ).
fof(f558,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f92,f37]) ).
fof(f559,plain,
( sQ1_spl
| sQ26_spl
| sQ51_spl
| sQ76_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f554,f447,f362,f277,f192,f107]) ).
fof(f560,plain,
( sQ6_spl
| sQ31_spl
| sQ56_spl
| sQ81_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f555,f463,f378,f293,f208,f123]) ).
fof(f561,plain,
( sQ11_spl
| sQ36_spl
| sQ61_spl
| sQ86_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f556,f479,f394,f309,f224,f139]) ).
fof(f562,plain,
( sQ16_spl
| sQ41_spl
| sQ66_spl
| sQ91_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f557,f495,f410,f325,f240,f155]) ).
fof(f563,plain,
( sQ21_spl
| sQ46_spl
| sQ71_spl
| sQ96_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f558,f511,f426,f341,f256,f171]) ).
fof(f564,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_1,e_2,e_5)
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f93,f41]) ).
fof(f565,plain,
( product(e_1,e_5,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f93,f40]) ).
fof(f566,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f93,f39]) ).
fof(f567,plain,
( product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f93,f38]) ).
fof(f568,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f93,f37]) ).
fof(f569,plain,
( sQ0_spl
| sQ25_spl
| sQ50_spl
| sQ75_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f564,f444,f359,f274,f189,f104]) ).
fof(f570,plain,
( sQ5_spl
| sQ30_spl
| sQ55_spl
| sQ80_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f565,f460,f375,f290,f205,f120]) ).
fof(f571,plain,
( sQ10_spl
| sQ35_spl
| sQ60_spl
| sQ85_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f566,f476,f391,f306,f221,f136]) ).
fof(f572,plain,
( sQ15_spl
| sQ40_spl
| sQ65_spl
| sQ90_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f567,f492,f407,f322,f237,f152]) ).
fof(f573,plain,
( sQ20_spl
| sQ45_spl
| sQ70_spl
| sQ95_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f568,f508,f423,f338,f253,f168]) ).
fof(f574,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f94,f41]) ).
fof(f575,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f94,f40]) ).
fof(f576,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f94,f39]) ).
fof(f577,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f94,f38]) ).
fof(f578,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f94,f37]) ).
fof(f579,plain,
( sQ4_spl
| sQ9_spl
| sQ14_spl
| sQ19_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f574,f180,f164,f148,f132,f116]) ).
fof(f580,plain,
( sQ29_spl
| sQ34_spl
| sQ39_spl
| sQ44_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f575,f265,f249,f233,f217,f201]) ).
fof(f581,plain,
( sQ54_spl
| sQ59_spl
| sQ64_spl
| sQ69_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f576,f350,f334,f318,f302,f286]) ).
fof(f582,plain,
( sQ79_spl
| sQ84_spl
| sQ89_spl
| sQ94_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f577,f435,f419,f403,f387,f371]) ).
fof(f583,plain,
( sQ104_spl
| sQ109_spl
| sQ114_spl
| sQ119_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f578,f520,f504,f488,f472,f456]) ).
fof(f584,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f95,f41]) ).
fof(f585,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f95,f40]) ).
fof(f586,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f95,f39]) ).
fof(f587,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f95,f38]) ).
fof(f588,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f95,f37]) ).
fof(f589,plain,
( sQ3_spl
| sQ8_spl
| sQ13_spl
| sQ18_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f584,f177,f161,f145,f129,f113]) ).
fof(f590,plain,
( sQ28_spl
| sQ33_spl
| sQ38_spl
| sQ43_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f585,f262,f246,f230,f214,f198]) ).
fof(f591,plain,
( sQ53_spl
| sQ58_spl
| sQ63_spl
| sQ68_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f586,f347,f331,f315,f299,f283]) ).
fof(f592,plain,
( sQ78_spl
| sQ83_spl
| sQ88_spl
| sQ93_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f587,f432,f416,f400,f384,f368]) ).
fof(f593,plain,
( sQ103_spl
| sQ108_spl
| sQ113_spl
| sQ118_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f588,f517,f501,f485,f469,f453]) ).
fof(f594,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f96,f41]) ).
fof(f595,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f96,f40]) ).
fof(f596,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f96,f39]) ).
fof(f597,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f96,f38]) ).
fof(f598,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f96,f37]) ).
fof(f599,plain,
( sQ2_spl
| sQ7_spl
| sQ12_spl
| sQ17_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f594,f174,f158,f142,f126,f110]) ).
fof(f600,plain,
( sQ27_spl
| sQ32_spl
| sQ37_spl
| sQ42_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f595,f259,f243,f227,f211,f195]) ).
fof(f601,plain,
( sQ52_spl
| sQ57_spl
| sQ62_spl
| sQ67_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f596,f344,f328,f312,f296,f280]) ).
fof(f602,plain,
( sQ77_spl
| sQ82_spl
| sQ87_spl
| sQ92_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f597,f429,f413,f397,f381,f365]) ).
fof(f603,plain,
( sQ102_spl
| sQ107_spl
| sQ112_spl
| sQ117_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f598,f514,f498,f482,f466,f450]) ).
fof(f604,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f97,f41]) ).
fof(f605,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f97,f40]) ).
fof(f606,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f97,f39]) ).
fof(f607,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f97,f38]) ).
fof(f608,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f97,f37]) ).
fof(f609,plain,
( sQ1_spl
| sQ6_spl
| sQ11_spl
| sQ16_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f604,f171,f155,f139,f123,f107]) ).
fof(f610,plain,
( sQ26_spl
| sQ31_spl
| sQ36_spl
| sQ41_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f605,f256,f240,f224,f208,f192]) ).
fof(f611,plain,
( sQ51_spl
| sQ56_spl
| sQ61_spl
| sQ66_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f606,f341,f325,f309,f293,f277]) ).
fof(f612,plain,
( sQ76_spl
| sQ81_spl
| sQ86_spl
| sQ91_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f607,f426,f410,f394,f378,f362]) ).
fof(f613,plain,
( sQ101_spl
| sQ106_spl
| sQ111_spl
| sQ116_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f608,f511,f495,f479,f463,f447]) ).
fof(f614,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f98,f41]) ).
fof(f615,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f98,f40]) ).
fof(f616,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f98,f39]) ).
fof(f617,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f98,f38]) ).
fof(f618,plain,
( product(e_1,e_1,e_5)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f98,f37]) ).
fof(f619,plain,
( sQ0_spl
| sQ5_spl
| sQ10_spl
| sQ15_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f614,f168,f152,f136,f120,f104]) ).
fof(f620,plain,
( sQ25_spl
| sQ30_spl
| sQ35_spl
| sQ40_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f615,f253,f237,f221,f205,f189]) ).
fof(f621,plain,
( sQ50_spl
| sQ55_spl
| sQ60_spl
| sQ65_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f616,f338,f322,f306,f290,f274]) ).
fof(f622,plain,
( sQ75_spl
| sQ80_spl
| sQ85_spl
| sQ90_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f617,f423,f407,f391,f375,f359]) ).
fof(f623,plain,
( sQ100_spl
| sQ105_spl
| sQ110_spl
| sQ115_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f618,f508,f492,f476,f460,f444]) ).
fof(f624,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f81,f69]) ).
fof(f627,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f266,f76]) ).
fof(f628,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f266,f75]) ).
fof(f629,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f266,f68]) ).
fof(f630,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f266,f66]) ).
fof(f631,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f266,f64]) ).
fof(f632,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f266,f73]) ).
fof(f633,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f266,f71]) ).
fof(f634,definition,
! [X0] :
( sQ125_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f635,plain,
! [X0] :
( ~ sQ125_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f637,definition,
( sQ126_spl
<=> equalish(e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( ~ sQ126_spl
| equalish(e_1,e_5) ),
inference(component_clause,[status(thm)],[f637]) ).
fof(f640,plain,
( ~ sQ49_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f627,f634,f637,f265]) ).
fof(f641,definition,
( sQ127_spl
<=> equalish(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f642,plain,
( ~ sQ127_spl
| equalish(e_1,e_4) ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,plain,
( ~ sQ49_spl
| sQ127_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f628,f634,f641,f265]) ).
fof(f645,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f250,f76]) ).
fof(f646,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f250,f75]) ).
fof(f647,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f250,f68]) ).
fof(f648,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f250,f66]) ).
fof(f649,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f250,f64]) ).
fof(f650,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f250,f73]) ).
fof(f651,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f250,f71]) ).
fof(f652,definition,
! [X0] :
( sQ128_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f653,plain,
! [X0] :
( ~ sQ128_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,definition,
( sQ129_spl
<=> equalish(e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( ~ sQ129_spl
| equalish(e_2,e_5) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( ~ sQ44_spl
| sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f645,f652,f655,f249]) ).
fof(f659,definition,
( sQ130_spl
<=> equalish(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( ~ sQ130_spl
| equalish(e_2,e_4) ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,plain,
( ~ sQ44_spl
| sQ130_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f646,f652,f659,f249]) ).
fof(f663,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f234,f76]) ).
fof(f664,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f234,f75]) ).
fof(f665,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f234,f68]) ).
fof(f666,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f234,f66]) ).
fof(f667,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f234,f64]) ).
fof(f668,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f234,f73]) ).
fof(f669,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f234,f71]) ).
fof(f670,definition,
! [X0] :
( sQ131_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f671,plain,
! [X0] :
( ~ sQ131_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,definition,
( sQ132_spl
<=> equalish(e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( ~ sQ132_spl
| equalish(e_3,e_5) ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,plain,
( ~ sQ39_spl
| sQ132_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f663,f670,f673,f233]) ).
fof(f677,definition,
( sQ133_spl
<=> equalish(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( ~ sQ133_spl
| equalish(e_3,e_4) ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,plain,
( ~ sQ39_spl
| sQ133_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f664,f670,f677,f233]) ).
fof(f681,plain,
( ~ sQ34_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f218,f79]) ).
fof(f682,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f218,f76]) ).
fof(f683,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f218,f75]) ).
fof(f684,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f218,f68]) ).
fof(f685,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f218,f66]) ).
fof(f686,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f218,f64]) ).
fof(f687,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f218,f73]) ).
fof(f688,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f218,f71]) ).
fof(f689,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f681,f57]) ).
fof(f690,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f689]) ).
fof(f691,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f351,f76]) ).
fof(f692,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f351,f75]) ).
fof(f693,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f351,f68]) ).
fof(f694,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f351,f66]) ).
fof(f695,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f351,f64]) ).
fof(f696,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f351,f73]) ).
fof(f697,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f351,f71]) ).
fof(f698,definition,
! [X0] :
( sQ134_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f699,plain,
! [X0] :
( ~ sQ134_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,plain,
( ~ sQ74_spl
| sQ126_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f691,f698,f637,f350]) ).
fof(f702,definition,
( sQ135_spl
<=> equalish(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f703,plain,
( ~ sQ135_spl
| equalish(e_1,e_3) ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,plain,
( ~ sQ74_spl
| sQ135_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f692,f698,f702,f350]) ).
fof(f706,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f638,f45]) ).
fof(f707,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f706]) ).
fof(f708,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f335,f76]) ).
fof(f709,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f335,f75]) ).
fof(f710,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f335,f68]) ).
fof(f711,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f335,f66]) ).
fof(f712,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f335,f64]) ).
fof(f713,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f335,f73]) ).
fof(f714,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f335,f71]) ).
fof(f715,definition,
! [X0] :
( sQ136_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f716,plain,
! [X0] :
( ~ sQ136_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,plain,
( ~ sQ69_spl
| sQ129_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f708,f715,f655,f334]) ).
fof(f719,definition,
( sQ137_spl
<=> equalish(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f720,plain,
( ~ sQ137_spl
| equalish(e_2,e_3) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,plain,
( ~ sQ69_spl
| sQ137_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f709,f715,f719,f334]) ).
fof(f723,plain,
( ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f656,f49]) ).
fof(f724,plain,
~ sQ129_spl,
inference(contradiction_clause,[status(thm)],[f723]) ).
fof(f725,plain,
( ~ sQ64_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f319,f79]) ).
fof(f726,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f319,f76]) ).
fof(f727,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f319,f75]) ).
fof(f728,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f319,f68]) ).
fof(f729,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f319,f66]) ).
fof(f730,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f319,f64]) ).
fof(f731,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f319,f73]) ).
fof(f732,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f319,f71]) ).
fof(f733,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f725,f53]) ).
fof(f734,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f733]) ).
fof(f735,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f303,f76]) ).
fof(f736,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f303,f75]) ).
fof(f737,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f303,f68]) ).
fof(f738,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f303,f66]) ).
fof(f739,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f303,f64]) ).
fof(f740,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f303,f73]) ).
fof(f741,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f303,f71]) ).
fof(f742,definition,
! [X0] :
( sQ138_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f743,plain,
! [X0] :
( ~ sQ138_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,definition,
( sQ139_spl
<=> equalish(e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f746,plain,
( ~ sQ139_spl
| equalish(e_4,e_5) ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f748,plain,
( ~ sQ59_spl
| sQ139_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f735,f742,f745,f302]) ).
fof(f749,definition,
( sQ140_spl
<=> equalish(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( ~ sQ140_spl
| equalish(e_4,e_3) ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( ~ sQ59_spl
| sQ140_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f736,f742,f749,f302]) ).
fof(f753,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f436,f76]) ).
fof(f754,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f436,f75]) ).
fof(f755,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f436,f68]) ).
fof(f756,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f436,f66]) ).
fof(f757,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f436,f64]) ).
fof(f758,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f436,f73]) ).
fof(f759,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f436,f71]) ).
fof(f760,definition,
! [X0] :
( sQ141_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f761,plain,
! [X0] :
( ~ sQ141_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f763,plain,
( ~ sQ99_spl
| sQ126_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f753,f760,f637,f435]) ).
fof(f764,definition,
( sQ142_spl
<=> equalish(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( ~ sQ142_spl
| equalish(e_1,e_2) ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,plain,
( ~ sQ99_spl
| sQ142_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f754,f760,f764,f435]) ).
fof(f768,plain,
( ~ sQ94_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f420,f79]) ).
fof(f769,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f420,f76]) ).
fof(f770,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f420,f75]) ).
fof(f771,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f420,f68]) ).
fof(f772,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f420,f66]) ).
fof(f773,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f420,f64]) ).
fof(f774,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f420,f73]) ).
fof(f775,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f420,f71]) ).
fof(f776,plain,
( ~ sQ94_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f768,f655,f419]) ).
fof(f777,definition,
! [X0] :
( sQ143_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f778,plain,
! [X0] :
( ~ sQ143_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,plain,
( ~ sQ94_spl
| sQ129_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f769,f777,f655,f419]) ).
fof(f781,definition,
( sQ144_spl
<=> equalish(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f784,plain,
( ~ sQ94_spl
| sQ144_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f770,f777,f781,f419]) ).
fof(f785,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f404,f76]) ).
fof(f786,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f404,f75]) ).
fof(f787,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f404,f68]) ).
fof(f788,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f404,f66]) ).
fof(f789,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f404,f64]) ).
fof(f790,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f404,f73]) ).
fof(f791,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f404,f71]) ).
fof(f792,definition,
! [X0] :
( sQ145_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f793,plain,
! [X0] :
( ~ sQ145_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f795,plain,
( ~ sQ89_spl
| sQ132_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f785,f792,f673,f403]) ).
fof(f796,definition,
( sQ146_spl
<=> equalish(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ146_spl
| equalish(e_3,e_2) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,plain,
( ~ sQ89_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f786,f792,f796,f403]) ).
fof(f800,plain,
( ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f674,f53]) ).
fof(f801,plain,
~ sQ132_spl,
inference(contradiction_clause,[status(thm)],[f800]) ).
fof(f802,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f388,f76]) ).
fof(f803,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f388,f75]) ).
fof(f804,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f388,f68]) ).
fof(f805,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f388,f66]) ).
fof(f806,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_4,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f388,f64]) ).
fof(f807,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f388,f73]) ).
fof(f808,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f388,f71]) ).
fof(f809,definition,
! [X0] :
( sQ147_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f810,plain,
! [X0] :
( ~ sQ147_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,plain,
( ~ sQ84_spl
| sQ139_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f802,f809,f745,f387]) ).
fof(f813,definition,
( sQ148_spl
<=> equalish(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f814,plain,
( ~ sQ148_spl
| equalish(e_4,e_2) ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,plain,
( ~ sQ84_spl
| sQ148_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f803,f809,f813,f387]) ).
fof(f817,plain,
( ~ sQ139_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f746,f57]) ).
fof(f818,plain,
~ sQ139_spl,
inference(contradiction_clause,[status(thm)],[f817]) ).
fof(f819,plain,
( ~ sQ124_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f521,f79]) ).
fof(f820,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f521,f76]) ).
fof(f821,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f521,f75]) ).
fof(f822,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f521,f68]) ).
fof(f823,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f521,f66]) ).
fof(f824,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f521,f64]) ).
fof(f825,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f521,f73]) ).
fof(f826,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f521,f71]) ).
fof(f827,plain,
( ~ sQ124_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f819,f637,f520]) ).
fof(f828,definition,
! [X0] :
( sQ149_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( ~ sQ124_spl
| sQ126_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f820,f828,f637,f520]) ).
fof(f832,definition,
( sQ150_spl
<=> equalish(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f835,plain,
( ~ sQ124_spl
| sQ150_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f821,f828,f832,f520]) ).
fof(f836,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f505,f76]) ).
fof(f837,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f505,f75]) ).
fof(f838,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f505,f68]) ).
fof(f839,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f505,f66]) ).
fof(f840,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f505,f64]) ).
fof(f841,plain,
! [X0,X1,X2] :
( ~ sQ119_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f505,f73]) ).
fof(f842,plain,
! [X0,X1,X2] :
( ~ sQ119_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f505,f71]) ).
fof(f843,definition,
! [X0] :
( sQ151_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f844,plain,
! [X0] :
( ~ sQ151_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( ~ sQ119_spl
| sQ129_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f836,f843,f655,f504]) ).
fof(f847,definition,
( sQ152_spl
<=> equalish(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f848,plain,
( ~ sQ152_spl
| equalish(e_2,e_1) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,plain,
( ~ sQ119_spl
| sQ152_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f837,f843,f847,f504]) ).
fof(f851,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f489,f76]) ).
fof(f852,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f489,f75]) ).
fof(f853,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f489,f68]) ).
fof(f854,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f489,f66]) ).
fof(f855,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_3,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f489,f64]) ).
fof(f856,plain,
! [X0,X1,X2] :
( ~ sQ114_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f489,f73]) ).
fof(f857,plain,
! [X0,X1,X2] :
( ~ sQ114_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f489,f71]) ).
fof(f858,definition,
! [X0] :
( sQ153_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f859,plain,
! [X0] :
( ~ sQ153_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f861,plain,
( ~ sQ114_spl
| sQ132_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f851,f858,f673,f488]) ).
fof(f862,definition,
( sQ154_spl
<=> equalish(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( ~ sQ154_spl
| equalish(e_3,e_1) ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,plain,
( ~ sQ114_spl
| sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f852,f858,f862,f488]) ).
fof(f866,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f473,f76]) ).
fof(f867,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f473,f75]) ).
fof(f868,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f473,f68]) ).
fof(f869,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f473,f66]) ).
fof(f870,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_4,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f473,f64]) ).
fof(f871,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f473,f73]) ).
fof(f872,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f473,f71]) ).
fof(f873,definition,
! [X0] :
( sQ155_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f874,plain,
! [X0] :
( ~ sQ155_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,plain,
( ~ sQ109_spl
| sQ139_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f866,f873,f745,f472]) ).
fof(f877,definition,
( sQ156_spl
<=> equalish(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f878,plain,
( ~ sQ156_spl
| equalish(e_4,e_1) ),
inference(component_clause,[status(thm)],[f877]) ).
fof(f880,plain,
( ~ sQ109_spl
| sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f867,f873,f877,f472]) ).
fof(f881,plain,
( ~ sQ155_spl
| ~ sQ23_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f178,f874]) ).
fof(f882,plain,
( ~ sQ153_spl
| ~ sQ23_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f178,f859]) ).
fof(f883,plain,
( ~ sQ151_spl
| ~ sQ23_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f178,f844]) ).
fof(f884,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f178,f76]) ).
fof(f885,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f178,f75]) ).
fof(f886,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f178,f68]) ).
fof(f887,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f178,f66]) ).
fof(f888,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f178,f64]) ).
fof(f889,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f178,f73]) ).
fof(f890,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f178,f71]) ).
fof(f891,plain,
( ~ sQ155_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f881,f69]) ).
fof(f892,plain,
( ~ sQ155_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f891]) ).
fof(f895,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f263,f68]) ).
fof(f896,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f263,f66]) ).
fof(f897,plain,
( ~ sQ48_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f263,f74]) ).
fof(f898,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f263,f64]) ).
fof(f899,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f263,f73]) ).
fof(f900,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f263,f71]) ).
fof(f901,definition,
! [X0] :
( sQ157_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f906,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f897,f54]) ).
fof(f907,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f906]) ).
fof(f908,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f348,f76]) ).
fof(f909,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f348,f75]) ).
fof(f910,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f348,f68]) ).
fof(f911,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f348,f66]) ).
fof(f912,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f348,f64]) ).
fof(f913,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f348,f73]) ).
fof(f914,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f348,f71]) ).
fof(f915,definition,
! [X0] :
( sQ158_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f916,plain,
! [X0] :
( ~ sQ158_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,plain,
( ~ sQ73_spl
| sQ127_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f908,f915,f641,f347]) ).
fof(f919,plain,
( ~ sQ73_spl
| sQ135_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f909,f915,f702,f347]) ).
fof(f920,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f642,f44]) ).
fof(f921,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f920]) ).
fof(f922,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f433,f76]) ).
fof(f923,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f433,f75]) ).
fof(f924,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f433,f68]) ).
fof(f925,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f433,f66]) ).
fof(f926,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f433,f64]) ).
fof(f927,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f433,f73]) ).
fof(f928,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f433,f71]) ).
fof(f929,definition,
! [X0] :
( sQ159_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f930,plain,
! [X0] :
( ~ sQ159_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f932,plain,
( ~ sQ98_spl
| sQ127_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f922,f929,f641,f432]) ).
fof(f933,plain,
( ~ sQ98_spl
| sQ142_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f923,f929,f764,f432]) ).
fof(f934,plain,
( ~ sQ123_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f518,f79]) ).
fof(f935,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f518,f76]) ).
fof(f936,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f518,f75]) ).
fof(f937,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f518,f68]) ).
fof(f938,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f518,f66]) ).
fof(f939,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f518,f64]) ).
fof(f940,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f518,f73]) ).
fof(f941,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f518,f71]) ).
fof(f942,plain,
( ~ sQ123_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f934,f641,f517]) ).
fof(f943,definition,
! [X0] :
( sQ160_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f944,plain,
! [X0] :
( ~ sQ160_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f946,plain,
( ~ sQ123_spl
| sQ127_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f935,f943,f641,f517]) ).
fof(f947,plain,
( ~ sQ123_spl
| sQ150_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f936,f943,f832,f517]) ).
fof(f948,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f927,f69]) ).
fof(f949,plain,
( ~ sQ98_spl
| sQ152_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f948,f929,f847,f432]) ).
fof(f950,plain,
( ~ sQ147_spl
| ~ sQ18_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f162,f810]) ).
fof(f951,plain,
( ~ sQ145_spl
| ~ sQ18_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f162,f793]) ).
fof(f952,plain,
( ~ sQ141_spl
| ~ sQ18_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f162,f761]) ).
fof(f953,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f162,f76]) ).
fof(f954,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f162,f75]) ).
fof(f955,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f162,f68]) ).
fof(f956,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f162,f66]) ).
fof(f957,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f162,f64]) ).
fof(f958,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f162,f73]) ).
fof(f959,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f162,f71]) ).
fof(f960,plain,
( ~ sQ147_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f950,f69]) ).
fof(f961,plain,
( ~ sQ147_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f960]) ).
fof(f962,plain,
( ~ sQ159_spl
| ~ sQ43_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f247,f930]) ).
fof(f965,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f247,f68]) ).
fof(f966,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f247,f66]) ).
fof(f967,plain,
( ~ sQ43_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f247,f74]) ).
fof(f968,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f247,f64]) ).
fof(f969,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f247,f73]) ).
fof(f970,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f247,f71]) ).
fof(f971,definition,
! [X0] :
( sQ161_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f976,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f967,f55]) ).
fof(f977,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f976]) ).
fof(f978,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f332,f76]) ).
fof(f979,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f332,f75]) ).
fof(f980,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f332,f68]) ).
fof(f981,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f332,f66]) ).
fof(f982,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f332,f64]) ).
fof(f983,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f332,f73]) ).
fof(f984,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f332,f71]) ).
fof(f985,definition,
! [X0] :
( sQ162_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f986,plain,
! [X0] :
( ~ sQ162_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f985]) ).
fof(f988,plain,
( ~ sQ68_spl
| sQ130_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f978,f985,f659,f331]) ).
fof(f989,plain,
( ~ sQ68_spl
| sQ137_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f979,f985,f719,f331]) ).
fof(f990,plain,
( ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f48]) ).
fof(f991,plain,
~ sQ130_spl,
inference(contradiction_clause,[status(thm)],[f990]) ).
fof(f992,plain,
( ~ sQ93_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f417,f79]) ).
fof(f993,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f417,f76]) ).
fof(f994,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f417,f75]) ).
fof(f995,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f417,f68]) ).
fof(f996,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f417,f66]) ).
fof(f997,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f417,f64]) ).
fof(f998,plain,
! [X0,X1,X2] :
( ~ sQ93_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f417,f73]) ).
fof(f999,plain,
! [X0,X1,X2] :
( ~ sQ93_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f417,f71]) ).
fof(f1000,plain,
( ~ sQ93_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f992,f659,f416]) ).
fof(f1001,definition,
! [X0] :
( sQ163_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1002,plain,
! [X0] :
( ~ sQ163_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1001]) ).
fof(f1004,plain,
( ~ sQ93_spl
| sQ130_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f993,f1001,f659,f416]) ).
fof(f1005,plain,
( ~ sQ93_spl
| sQ144_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f994,f1001,f781,f416]) ).
fof(f1006,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f502,f76]) ).
fof(f1007,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f502,f75]) ).
fof(f1008,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f502,f68]) ).
fof(f1009,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f502,f66]) ).
fof(f1010,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f502,f64]) ).
fof(f1011,plain,
! [X0,X1,X2] :
( ~ sQ118_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f502,f73]) ).
fof(f1012,plain,
! [X0,X1,X2] :
( ~ sQ118_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f502,f71]) ).
fof(f1013,definition,
! [X0] :
( sQ164_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ164_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1013]) ).
fof(f1016,plain,
( ~ sQ118_spl
| sQ130_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1006,f1013,f659,f501]) ).
fof(f1017,plain,
( ~ sQ118_spl
| sQ152_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1007,f1013,f847,f501]) ).
fof(f1018,plain,
( ~ sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f848,f46]) ).
fof(f1019,plain,
~ sQ152_spl,
inference(contradiction_clause,[status(thm)],[f1018]) ).
fof(f1020,plain,
( ~ sQ138_spl
| ~ sQ13_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f146,f743]) ).
fof(f1021,plain,
( ~ sQ136_spl
| ~ sQ13_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f716]) ).
fof(f1022,plain,
( ~ sQ134_spl
| ~ sQ13_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f699]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f146,f76]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f146,f75]) ).
fof(f1025,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f146,f68]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f146,f66]) ).
fof(f1027,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f146,f64]) ).
fof(f1028,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f146,f73]) ).
fof(f1029,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f146,f71]) ).
fof(f1030,plain,
( ~ sQ138_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1020,f69]) ).
fof(f1031,plain,
( ~ sQ138_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1030]) ).
fof(f1032,plain,
( ~ sQ158_spl
| ~ sQ38_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f231,f916]) ).
fof(f1035,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f231,f68]) ).
fof(f1036,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f231,f66]) ).
fof(f1037,plain,
( ~ sQ38_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f231,f74]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f231,f64]) ).
fof(f1039,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f231,f73]) ).
fof(f1040,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f231,f71]) ).
fof(f1041,definition,
! [X0] :
( sQ165_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1046,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1037,f56]) ).
fof(f1047,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f1046]) ).
fof(f1048,plain,
( ~ sQ63_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f316,f79]) ).
fof(f1049,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f316,f76]) ).
fof(f1050,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f316,f75]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f316,f68]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f316,f66]) ).
fof(f1053,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f316,f64]) ).
fof(f1054,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f316,f73]) ).
fof(f1055,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f316,f71]) ).
fof(f1056,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1048,f52]) ).
fof(f1057,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f1056]) ).
fof(f1058,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f401,f76]) ).
fof(f1059,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f401,f75]) ).
fof(f1060,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f401,f68]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f401,f66]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f401,f64]) ).
fof(f1063,plain,
! [X0,X1,X2] :
( ~ sQ88_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f401,f73]) ).
fof(f1064,plain,
! [X0,X1,X2] :
( ~ sQ88_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f401,f71]) ).
fof(f1065,definition,
! [X0] :
( sQ166_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ166_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1065]) ).
fof(f1068,plain,
( ~ sQ88_spl
| sQ133_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f1058,f1065,f677,f400]) ).
fof(f1069,plain,
( ~ sQ88_spl
| sQ146_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f1059,f1065,f796,f400]) ).
fof(f1070,plain,
( ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f678,f52]) ).
fof(f1071,plain,
~ sQ133_spl,
inference(contradiction_clause,[status(thm)],[f1070]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f913,f69]) ).
fof(f1073,plain,
( ~ sQ73_spl
| sQ154_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f1072,f915,f862,f347]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1011,f502]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1011,f69]) ).
fof(f1076,definition,
! [X0] :
( sQ167_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ167_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1079,plain,
( ~ sQ118_spl
| sQ150_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1074,f1076,f832,f501]) ).
fof(f1080,plain,
( ~ sQ118_spl
| sQ142_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1075,f1013,f764,f501]) ).
fof(f1081,plain,
( ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f765,f42]) ).
fof(f1082,plain,
~ sQ142_spl,
inference(contradiction_clause,[status(thm)],[f1081]) ).
fof(f1083,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1012,f502]) ).
fof(f1084,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1012,f69]) ).
fof(f1085,definition,
( sQ168_spl
<=> equalish(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1088,plain,
( ~ sQ118_spl
| sQ168_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1083,f1076,f1085,f501]) ).
fof(f1089,plain,
( ~ sQ118_spl
| sQ148_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1084,f1013,f813,f501]) ).
fof(f1090,plain,
! [X0] :
( ~ sQ167_spl
| ~ product(X0,e_4,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f1077]) ).
fof(f1091,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f928,f69]) ).
fof(f1092,plain,
( ~ sQ98_spl
| sQ156_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1091,f929,f877,f432]) ).
fof(f1098,plain,
( ~ sQ118_spl
| ~ sQ113_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f486,f1010]) ).
fof(f1099,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f486,f76]) ).
fof(f1100,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f486,f75]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f486,f68]) ).
fof(f1102,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f486,f66]) ).
fof(f1103,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f486,f64]) ).
fof(f1104,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f486,f73]) ).
fof(f1105,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f486,f71]) ).
fof(f1106,plain,
( ~ sQ118_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1098,f47]) ).
fof(f1107,plain,
( ~ sQ118_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f1106]) ).
fof(f1108,definition,
! [X0] :
( sQ169_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1109,plain,
! [X0] :
( ~ sQ169_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,plain,
( ~ sQ113_spl
| sQ133_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1099,f1108,f677,f485]) ).
fof(f1112,plain,
( ~ sQ113_spl
| sQ154_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1100,f1108,f862,f485]) ).
fof(f1113,definition,
! [X0] :
( sQ170_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ170_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1116,plain,
( ~ sQ18_spl
| sQ130_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f953,f1113,f659,f161]) ).
fof(f1117,plain,
( ~ sQ18_spl
| sQ129_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f954,f1113,f655,f161]) ).
fof(f1118,plain,
( ~ sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f863,f50]) ).
fof(f1119,plain,
~ sQ154_spl,
inference(contradiction_clause,[status(thm)],[f1118]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1063,f69]) ).
fof(f1121,plain,
( ~ sQ88_spl
| sQ137_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f1120,f1065,f719,f400]) ).
fof(f1122,plain,
( ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f720,f47]) ).
fof(f1123,plain,
~ sQ137_spl,
inference(contradiction_clause,[status(thm)],[f1122]) ).
fof(f1124,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f983,f69]) ).
fof(f1125,plain,
( ~ sQ68_spl
| sQ146_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1124,f985,f796,f331]) ).
fof(f1126,plain,
( ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f797,f51]) ).
fof(f1127,plain,
~ sQ146_spl,
inference(contradiction_clause,[status(thm)],[f1126]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f984,f69]) ).
fof(f1129,plain,
( ~ sQ68_spl
| sQ148_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1128,f985,f813,f331]) ).
fof(f1130,plain,
( ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f814,f55]) ).
fof(f1131,plain,
~ sQ148_spl,
inference(contradiction_clause,[status(thm)],[f1130]) ).
fof(f1132,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1104,f69]) ).
fof(f1133,plain,
( ~ sQ113_spl
| sQ135_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1132,f1108,f702,f485]) ).
fof(f1134,plain,
( ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f703,f43]) ).
fof(f1135,plain,
~ sQ135_spl,
inference(contradiction_clause,[status(thm)],[f1134]) ).
fof(f1136,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1105,f69]) ).
fof(f1137,plain,
( ~ sQ113_spl
| sQ140_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1136,f1108,f749,f485]) ).
fof(f1138,plain,
( ~ sQ131_spl
| ~ sQ8_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f130,f671]) ).
fof(f1139,plain,
( ~ sQ128_spl
| ~ sQ8_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f130,f653]) ).
fof(f1140,plain,
( ~ sQ125_spl
| ~ sQ8_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f130,f635]) ).
fof(f1141,plain,
( ~ sQ8_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f130,f78]) ).
fof(f1142,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f130,f76]) ).
fof(f1143,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f130,f75]) ).
fof(f1144,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f130,f68]) ).
fof(f1145,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f130,f66]) ).
fof(f1146,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f130,f64]) ).
fof(f1147,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f130,f73]) ).
fof(f1148,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f130,f71]) ).
fof(f1149,plain,
( ~ sQ8_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f1141,f745,f129]) ).
fof(f1150,definition,
! [X0] :
( sQ171_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1153,plain,
( ~ sQ8_spl
| sQ168_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1142,f1150,f1085,f129]) ).
fof(f1154,plain,
( ~ sQ8_spl
| sQ139_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1143,f1150,f745,f129]) ).
fof(f1156,plain,
( ~ sQ58_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f300,f78]) ).
fof(f1157,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f300,f76]) ).
fof(f1158,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f300,f75]) ).
fof(f1159,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f300,f68]) ).
fof(f1160,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f300,f66]) ).
fof(f1161,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f300,f64]) ).
fof(f1162,plain,
! [X0,X1,X2] :
( ~ sQ58_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f300,f73]) ).
fof(f1163,plain,
! [X0,X1,X2] :
( ~ sQ58_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f300,f71]) ).
fof(f1165,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1156,f56]) ).
fof(f1166,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f1165]) ).
fof(f1167,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f385,f926]) ).
fof(f1168,plain,
( ~ sQ83_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f385,f78]) ).
fof(f1169,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f385,f76]) ).
fof(f1170,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f385,f75]) ).
fof(f1171,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f385,f68]) ).
fof(f1172,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f385,f66]) ).
fof(f1173,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f385,f64]) ).
fof(f1174,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f385,f73]) ).
fof(f1175,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f385,f71]) ).
fof(f1176,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1167,f641,f384,f432]) ).
fof(f1177,plain,
( ~ sQ83_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1168,f813,f384]) ).
fof(f1178,definition,
! [X0] :
( sQ172_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1181,plain,
( ~ sQ83_spl
| sQ168_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1169,f1178,f1085,f384]) ).
fof(f1182,plain,
( ~ sQ83_spl
| sQ148_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1170,f1178,f813,f384]) ).
fof(f1184,plain,
( ~ sQ108_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f470,f78]) ).
fof(f1185,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f470,f76]) ).
fof(f1186,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f470,f75]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f470,f68]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f470,f66]) ).
fof(f1189,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f470,f64]) ).
fof(f1190,plain,
! [X0,X1,X2] :
( ~ sQ108_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f470,f73]) ).
fof(f1191,plain,
! [X0,X1,X2] :
( ~ sQ108_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f470,f71]) ).
fof(f1193,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1184,f54]) ).
fof(f1194,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f1193]) ).
fof(f1195,plain,
( ~ sQ3_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f114,f79]) ).
fof(f1196,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f114,f76]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f114,f75]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f114,f68]) ).
fof(f1199,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f114,f66]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_5,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f114,f64]) ).
fof(f1201,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f114,f73]) ).
fof(f1202,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f114,f71]) ).
fof(f1203,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1195,f61]) ).
fof(f1204,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f1203]) ).
fof(f1205,definition,
! [X0] :
( sQ173_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ173_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1205]) ).
fof(f1208,plain,
( ~ sQ23_spl
| sQ127_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f884,f1205,f641,f177]) ).
fof(f1209,plain,
( ~ sQ23_spl
| sQ126_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f885,f1205,f637,f177]) ).
fof(f1210,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f889,f69]) ).
fof(f1211,definition,
( sQ174_spl
<=> equalish(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1212,plain,
( ~ sQ174_spl
| equalish(e_5,e_1) ),
inference(component_clause,[status(thm)],[f1211]) ).
fof(f1214,plain,
( ~ sQ23_spl
| sQ174_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1210,f1205,f1211,f177]) ).
fof(f1215,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f890,f69]) ).
fof(f1216,plain,
( ~ sQ23_spl
| sQ156_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1215,f1205,f877,f177]) ).
fof(f1217,plain,
( ~ sQ156_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f878,f54]) ).
fof(f1218,plain,
~ sQ156_spl,
inference(contradiction_clause,[status(thm)],[f1217]) ).
fof(f1219,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f175,f886]) ).
fof(f1220,plain,
( ~ sQ153_spl
| ~ sQ22_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f175,f859]) ).
fof(f1221,plain,
( ~ sQ151_spl
| ~ sQ22_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f175,f844]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ22_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f175,f890]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ22_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f175,f889]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f175,f76]) ).
fof(f1225,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f175,f75]) ).
fof(f1226,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f175,f68]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f175,f66]) ).
fof(f1228,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f175,f64]) ).
fof(f1229,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f175,f73]) ).
fof(f1230,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f175,f71]) ).
fof(f1231,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1219,f56]) ).
fof(f1232,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1231]) ).
fof(f1233,plain,
( ~ sQ164_spl
| ~ sQ47_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f260,f1014]) ).
fof(f1234,plain,
( ~ sQ169_spl
| ~ sQ47_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f260,f1109]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ47_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f260,f890]) ).
fof(f1236,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ47_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f260,f889]) ).
fof(f1237,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f260,f76]) ).
fof(f1238,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f260,f75]) ).
fof(f1239,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f260,f68]) ).
fof(f1240,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f260,f66]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f260,f64]) ).
fof(f1242,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f260,f73]) ).
fof(f1243,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f260,f71]) ).
fof(f1244,plain,
( ~ sQ169_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1234,f69]) ).
fof(f1245,plain,
( ~ sQ169_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1244]) ).
fof(f1246,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ72_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f345,f890]) ).
fof(f1247,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ72_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f345,f889]) ).
fof(f1248,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f345,f76]) ).
fof(f1250,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f345,f68]) ).
fof(f1251,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f345,f66]) ).
fof(f1252,plain,
( ~ sQ72_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f345,f74]) ).
fof(f1253,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f345,f64]) ).
fof(f1254,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f345,f73]) ).
fof(f1255,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f345,f71]) ).
fof(f1256,definition,
! [X0] :
( sQ175_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ175_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1256]) ).
fof(f1259,plain,
( ~ sQ23_spl
| ~ sQ72_spl
| sQ140_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1246,f1256,f749,f344,f177]) ).
fof(f1260,definition,
( sQ176_spl
<=> equalish(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1261,plain,
( ~ sQ176_spl
| equalish(e_5,e_3) ),
inference(component_clause,[status(thm)],[f1260]) ).
fof(f1263,plain,
( ~ sQ23_spl
| ~ sQ72_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1247,f1256,f1260,f344,f177]) ).
fof(f1264,definition,
! [X0] :
( sQ177_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1267,plain,
( ~ sQ72_spl
| sQ135_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1248,f1264,f702,f344]) ).
fof(f1269,plain,
( ~ sQ72_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f1252,f862,f344]) ).
fof(f1270,plain,
( ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f750,f56]) ).
fof(f1271,plain,
~ sQ140_spl,
inference(contradiction_clause,[status(thm)],[f1270]) ).
fof(f1272,plain,
( ~ sQ13_spl
| sQ133_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1023,f1256,f677,f145]) ).
fof(f1273,plain,
( ~ sQ13_spl
| sQ132_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1024,f1256,f673,f145]) ).
fof(f1282,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f958,f69]) ).
fof(f1283,definition,
( sQ178_spl
<=> equalish(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1284,plain,
( ~ sQ178_spl
| equalish(e_5,e_2) ),
inference(component_clause,[status(thm)],[f1283]) ).
fof(f1286,plain,
( ~ sQ18_spl
| sQ178_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1282,f1113,f1283,f161]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f959,f69]) ).
fof(f1288,plain,
( ~ sQ18_spl
| sQ148_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1287,f1113,f813,f161]) ).
fof(f1289,plain,
( ~ sQ98_spl
| ~ sQ97_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f430,f924]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ97_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f430,f927]) ).
fof(f1291,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ97_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f430,f928]) ).
fof(f1292,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f430,f76]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f430,f75]) ).
fof(f1294,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f430,f68]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f430,f66]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f430,f64]) ).
fof(f1297,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f430,f73]) ).
fof(f1298,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f430,f71]) ).
fof(f1299,plain,
( ~ sQ98_spl
| ~ sQ97_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1289,f749,f429,f432]) ).
fof(f1300,definition,
! [X0] :
( sQ179_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1303,plain,
( ~ sQ98_spl
| ~ sQ97_spl
| sQ144_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1290,f1300,f781,f429,f432]) ).
fof(f1304,plain,
( ~ sQ98_spl
| ~ sQ97_spl
| sQ140_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1291,f1300,f749,f429,f432]) ).
fof(f1305,definition,
! [X0] :
( sQ180_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1306,plain,
! [X0] :
( ~ sQ180_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1305]) ).
fof(f1308,plain,
( ~ sQ97_spl
| sQ135_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1292,f1305,f702,f429]) ).
fof(f1309,plain,
( ~ sQ97_spl
| sQ142_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1293,f1305,f764,f429]) ).
fof(f1310,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ122_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f515,f927]) ).
fof(f1311,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ122_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f515,f928]) ).
fof(f1312,plain,
( ~ sQ122_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f515,f79]) ).
fof(f1313,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f515,f76]) ).
fof(f1314,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f515,f75]) ).
fof(f1315,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f515,f68]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f515,f66]) ).
fof(f1317,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f515,f64]) ).
fof(f1318,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f515,f73]) ).
fof(f1319,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f515,f71]) ).
fof(f1320,definition,
! [X0] :
( sQ181_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1323,plain,
( ~ sQ98_spl
| ~ sQ122_spl
| sQ152_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1310,f1320,f847,f514,f432]) ).
fof(f1324,plain,
( ~ sQ98_spl
| ~ sQ122_spl
| sQ140_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1311,f1320,f749,f514,f432]) ).
fof(f1325,plain,
( ~ sQ122_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1312,f702,f514]) ).
fof(f1326,definition,
! [X0] :
( sQ182_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1329,plain,
( ~ sQ122_spl
| sQ135_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1313,f1326,f702,f514]) ).
fof(f1330,plain,
( ~ sQ122_spl
| sQ150_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1314,f1326,f832,f514]) ).
fof(f1331,definition,
! [X0] :
( sQ183_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1332,plain,
! [X0] :
( ~ sQ183_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1331]) ).
fof(f1334,plain,
( ~ sQ47_spl
| sQ135_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1237,f1331,f702,f259]) ).
fof(f1335,plain,
( ~ sQ47_spl
| sQ127_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1238,f1331,f641,f259]) ).
fof(f1336,plain,
( ~ sQ153_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1220,f69]) ).
fof(f1337,plain,
( ~ sQ153_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1336]) ).
fof(f1338,definition,
! [X0] :
( sQ184_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1339,plain,
! [X0] :
( ~ sQ184_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1338]) ).
fof(f1341,plain,
( ~ sQ22_spl
| sQ135_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1224,f1338,f702,f174]) ).
fof(f1342,plain,
( ~ sQ22_spl
| sQ126_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1225,f1338,f637,f174]) ).
fof(f1347,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f159,f955]) ).
fof(f1348,plain,
( ~ sQ145_spl
| ~ sQ17_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f159,f793]) ).
fof(f1349,plain,
( ~ sQ141_spl
| ~ sQ17_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f159,f761]) ).
fof(f1350,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ17_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f159,f959]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ17_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f159,f958]) ).
fof(f1352,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f159,f76]) ).
fof(f1353,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f159,f75]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f159,f68]) ).
fof(f1355,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f159,f66]) ).
fof(f1356,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f159,f64]) ).
fof(f1357,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f159,f73]) ).
fof(f1358,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f159,f71]) ).
fof(f1359,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1347,f749,f158,f161]) ).
fof(f1360,plain,
( ~ sQ145_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1348,f69]) ).
fof(f1361,plain,
( ~ sQ145_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1360]) ).
fof(f1362,plain,
( ~ sQ166_spl
| ~ sQ42_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f244,f1066]) ).
fof(f1363,plain,
( ~ sQ159_spl
| ~ sQ42_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f244,f930]) ).
fof(f1364,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f244,f959]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ42_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f244,f958]) ).
fof(f1366,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f244,f76]) ).
fof(f1367,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f244,f75]) ).
fof(f1368,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f244,f68]) ).
fof(f1369,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f244,f66]) ).
fof(f1370,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f244,f64]) ).
fof(f1371,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f244,f73]) ).
fof(f1372,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f244,f71]) ).
fof(f1373,plain,
( ~ sQ166_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1362,f69]) ).
fof(f1374,plain,
( ~ sQ166_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1373]) ).
fof(f1375,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ67_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f329,f959]) ).
fof(f1376,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ67_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f329,f958]) ).
fof(f1377,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f329,f76]) ).
fof(f1379,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f329,f68]) ).
fof(f1380,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f329,f66]) ).
fof(f1381,plain,
( ~ sQ67_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f329,f74]) ).
fof(f1382,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f329,f64]) ).
fof(f1383,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f329,f73]) ).
fof(f1384,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f329,f71]) ).
fof(f1385,plain,
( ~ sQ18_spl
| ~ sQ67_spl
| sQ140_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1375,f1256,f749,f328,f161]) ).
fof(f1386,plain,
( ~ sQ18_spl
| ~ sQ67_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1376,f1256,f1260,f328,f161]) ).
fof(f1387,definition,
! [X0] :
( sQ185_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1390,plain,
( ~ sQ67_spl
| sQ137_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1377,f1387,f719,f328]) ).
fof(f1392,plain,
( ~ sQ67_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1381,f796,f328]) ).
fof(f1393,plain,
( ~ sQ92_spl
| ~ sQ151_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f414,f1221]) ).
fof(f1394,plain,
( ~ sQ92_spl
| ~ sQ151_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1393]) ).
fof(f1395,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ117_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f499,f959]) ).
fof(f1396,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ117_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f499,f958]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f499,f76]) ).
fof(f1398,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f499,f75]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f499,f68]) ).
fof(f1400,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f499,f66]) ).
fof(f1401,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f499,f64]) ).
fof(f1402,plain,
! [X0,X1,X2] :
( ~ sQ117_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f499,f73]) ).
fof(f1403,plain,
! [X0,X1,X2] :
( ~ sQ117_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f499,f71]) ).
fof(f1404,definition,
! [X0] :
( sQ186_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1405,plain,
! [X0] :
( ~ sQ186_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1404]) ).
fof(f1407,plain,
( ~ sQ18_spl
| ~ sQ117_spl
| sQ140_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1395,f1404,f749,f498,f161]) ).
fof(f1408,plain,
( ~ sQ18_spl
| ~ sQ117_spl
| sQ174_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1396,f1404,f1211,f498,f161]) ).
fof(f1409,definition,
! [X0] :
( sQ187_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1410,plain,
! [X0] :
( ~ sQ187_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1409]) ).
fof(f1412,plain,
( ~ sQ117_spl
| sQ137_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1397,f1409,f719,f498]) ).
fof(f1413,plain,
( ~ sQ117_spl
| sQ152_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1398,f1409,f847,f498]) ).
fof(f1414,definition,
! [X0] :
( sQ188_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1415,plain,
! [X0] :
( ~ sQ188_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1414]) ).
fof(f1417,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| sQ140_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1364,f1414,f749,f243,f161]) ).
fof(f1418,definition,
( sQ189_spl
<=> equalish(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1419,plain,
( ~ sQ189_spl
| equalish(e_5,e_4) ),
inference(component_clause,[status(thm)],[f1418]) ).
fof(f1421,plain,
( ~ sQ18_spl
| ~ sQ42_spl
| sQ189_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1365,f1414,f1418,f243,f161]) ).
fof(f1422,definition,
! [X0] :
( sQ190_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1423,plain,
! [X0] :
( ~ sQ190_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1422]) ).
fof(f1425,plain,
( ~ sQ42_spl
| sQ137_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1366,f1422,f719,f243]) ).
fof(f1426,plain,
( ~ sQ42_spl
| sQ130_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1367,f1422,f659,f243]) ).
fof(f1427,plain,
( ~ sQ138_spl
| ~ sQ12_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f143,f743]) ).
fof(f1428,plain,
( ~ sQ136_spl
| ~ sQ12_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f143,f716]) ).
fof(f1429,plain,
( ~ sQ134_spl
| ~ sQ12_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f143,f699]) ).
fof(f1430,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ12_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f143,f1105]) ).
fof(f1431,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ12_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f143,f1104]) ).
fof(f1432,plain,
( ~ sQ12_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f143,f78]) ).
fof(f1433,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f143,f76]) ).
fof(f1434,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f143,f75]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f143,f68]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f143,f66]) ).
fof(f1437,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f143,f64]) ).
fof(f1438,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f143,f73]) ).
fof(f1439,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f143,f71]) ).
fof(f1440,definition,
! [X0] :
( sQ191_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1443,plain,
( ~ sQ113_spl
| ~ sQ12_spl
| sQ140_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1430,f1440,f749,f142,f485]) ).
fof(f1444,plain,
( ~ sQ113_spl
| ~ sQ12_spl
| sQ126_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1431,f1440,f637,f142,f485]) ).
fof(f1445,plain,
( ~ sQ12_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f1432,f673,f142]) ).
fof(f1446,definition,
! [X0] :
( sQ192_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1449,definition,
( sQ193_spl
<=> equalish(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1452,plain,
( ~ sQ12_spl
| sQ193_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1433,f1446,f1449,f142]) ).
fof(f1453,plain,
( ~ sQ12_spl
| sQ132_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1434,f1446,f673,f142]) ).
fof(f1454,plain,
( ~ sQ162_spl
| ~ sQ37_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f228,f986]) ).
fof(f1455,plain,
( ~ sQ158_spl
| ~ sQ37_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f916]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ37_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f228,f1105]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ37_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f228,f1104]) ).
fof(f1458,plain,
( ~ sQ37_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f228,f78]) ).
fof(f1459,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f228,f76]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f228,f75]) ).
fof(f1461,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f228,f68]) ).
fof(f1462,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f228,f66]) ).
fof(f1463,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f228,f64]) ).
fof(f1464,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f228,f73]) ).
fof(f1465,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f228,f71]) ).
fof(f1466,definition,
! [X0] :
( sQ194_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1467,plain,
! [X0] :
( ~ sQ194_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1466]) ).
fof(f1469,plain,
( ~ sQ113_spl
| ~ sQ37_spl
| sQ140_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1456,f1466,f749,f227,f485]) ).
fof(f1470,plain,
( ~ sQ113_spl
| ~ sQ37_spl
| sQ127_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1457,f1466,f641,f227,f485]) ).
fof(f1471,plain,
( ~ sQ37_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1458,f677,f227]) ).
fof(f1472,definition,
! [X0] :
( sQ195_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1475,plain,
( ~ sQ37_spl
| sQ193_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1459,f1472,f1449,f227]) ).
fof(f1476,plain,
( ~ sQ37_spl
| sQ133_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1460,f1472,f677,f227]) ).
fof(f1477,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ87_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f398,f1105]) ).
fof(f1478,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ87_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f398,f1104]) ).
fof(f1479,plain,
( ~ sQ87_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f398,f78]) ).
fof(f1480,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f398,f76]) ).
fof(f1481,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f398,f75]) ).
fof(f1482,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f398,f68]) ).
fof(f1483,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f398,f66]) ).
fof(f1484,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f398,f64]) ).
fof(f1485,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f398,f73]) ).
fof(f1486,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f398,f71]) ).
fof(f1487,definition,
! [X0] :
( sQ196_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1490,plain,
( ~ sQ113_spl
| ~ sQ87_spl
| sQ140_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1477,f1487,f749,f397,f485]) ).
fof(f1491,plain,
( ~ sQ113_spl
| ~ sQ87_spl
| sQ142_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1478,f1487,f764,f397,f485]) ).
fof(f1492,plain,
( ~ sQ87_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1479,f796,f397]) ).
fof(f1493,definition,
! [X0] :
( sQ197_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1496,plain,
( ~ sQ87_spl
| sQ193_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1480,f1493,f1449,f397]) ).
fof(f1497,plain,
( ~ sQ87_spl
| sQ146_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1481,f1493,f796,f397]) ).
fof(f1498,plain,
( ~ sQ113_spl
| ~ sQ112_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f483,f1101]) ).
fof(f1499,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ112_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f483,f1105]) ).
fof(f1500,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ112_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f483,f1104]) ).
fof(f1501,plain,
( ~ sQ112_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f483,f78]) ).
fof(f1502,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f483,f76]) ).
fof(f1503,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f483,f75]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f483,f68]) ).
fof(f1505,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f483,f66]) ).
fof(f1506,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f483,f64]) ).
fof(f1507,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f483,f73]) ).
fof(f1508,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f483,f71]) ).
fof(f1509,plain,
( ~ sQ113_spl
| ~ sQ112_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1498,f749,f482,f485]) ).
fof(f1510,definition,
! [X0] :
( sQ198_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1513,plain,
( ~ sQ113_spl
| ~ sQ112_spl
| sQ140_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1499,f1510,f749,f482,f485]) ).
fof(f1514,plain,
( ~ sQ113_spl
| ~ sQ112_spl
| sQ150_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1500,f1510,f832,f482,f485]) ).
fof(f1515,plain,
( ~ sQ112_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f1501,f862,f482]) ).
fof(f1516,definition,
! [X0] :
( sQ199_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1519,plain,
( ~ sQ112_spl
| sQ193_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1502,f1516,f1449,f482]) ).
fof(f1520,plain,
( ~ sQ112_spl
| sQ154_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1503,f1516,f862,f482]) ).
fof(f1521,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1229,f69]) ).
fof(f1522,plain,
( ~ sQ22_spl
| sQ174_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1521,f1338,f1211,f174]) ).
fof(f1523,plain,
( ~ sQ174_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1212,f58]) ).
fof(f1524,plain,
~ sQ174_spl,
inference(contradiction_clause,[status(thm)],[f1523]) ).
fof(f1525,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1230,f69]) ).
fof(f1526,plain,
( ~ sQ22_spl
| sQ154_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1525,f1338,f862,f174]) ).
fof(f1527,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1371,f69]) ).
fof(f1528,plain,
( ~ sQ42_spl
| sQ148_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1527,f1422,f813,f243]) ).
fof(f1529,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1372,f69]) ).
fof(f1530,plain,
( ~ sQ42_spl
| sQ146_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1529,f1422,f796,f243]) ).
fof(f1531,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f127,f1228]) ).
fof(f1532,plain,
( ~ sQ131_spl
| ~ sQ7_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f127,f671]) ).
fof(f1533,plain,
( ~ sQ128_spl
| ~ sQ7_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f127,f653]) ).
fof(f1534,plain,
( ~ sQ125_spl
| ~ sQ7_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f127,f635]) ).
fof(f1535,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f127,f76]) ).
fof(f1536,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f127,f75]) ).
fof(f1537,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f127,f68]) ).
fof(f1538,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f127,f66]) ).
fof(f1539,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f127,f64]) ).
fof(f1540,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f127,f73]) ).
fof(f1541,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f127,f71]) ).
fof(f1542,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1531,f641,f126,f174]) ).
fof(f1543,plain,
( ~ sQ131_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1532,f69]) ).
fof(f1544,plain,
( ~ sQ131_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1543]) ).
fof(f1545,plain,
( ~ sQ42_spl
| ~ sQ32_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f212,f1370]) ).
fof(f1546,plain,
( ~ sQ32_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f212,f79]) ).
fof(f1547,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f212,f76]) ).
fof(f1548,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f212,f75]) ).
fof(f1549,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f212,f68]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f212,f66]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f212,f64]) ).
fof(f1552,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f212,f73]) ).
fof(f1553,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f212,f71]) ).
fof(f1554,plain,
( ~ sQ42_spl
| ~ sQ32_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1545,f659,f211,f243]) ).
fof(f1555,plain,
( ~ sQ32_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1546,f749,f211]) ).
fof(f1556,definition,
! [X0] :
( sQ200_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1559,plain,
( ~ sQ32_spl
| sQ140_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1547,f1556,f749,f211]) ).
fof(f1560,plain,
( ~ sQ32_spl
| sQ168_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1548,f1556,f1085,f211]) ).
fof(f1561,plain,
( ~ sQ190_spl
| ~ sQ57_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f297,f1423]) ).
fof(f1562,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f297,f76]) ).
fof(f1564,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f297,f68]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f297,f66]) ).
fof(f1566,plain,
( ~ sQ57_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f297,f74]) ).
fof(f1567,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f297,f64]) ).
fof(f1568,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f297,f73]) ).
fof(f1569,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f297,f71]) ).
fof(f1570,plain,
( ~ sQ57_spl
| sQ140_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f1562,f1041,f749,f296]) ).
fof(f1572,plain,
( ~ sQ57_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1566,f677,f296]) ).
fof(f1573,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f382,f76]) ).
fof(f1574,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f382,f75]) ).
fof(f1575,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f382,f68]) ).
fof(f1576,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f382,f66]) ).
fof(f1577,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f382,f64]) ).
fof(f1578,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f382,f73]) ).
fof(f1579,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f382,f71]) ).
fof(f1580,definition,
! [X0] :
( sQ201_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1581,plain,
! [X0] :
( ~ sQ201_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1580]) ).
fof(f1583,plain,
( ~ sQ82_spl
| sQ140_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1573,f1580,f749,f381]) ).
fof(f1584,plain,
( ~ sQ82_spl
| sQ148_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1574,f1580,f813,f381]) ).
fof(f1585,plain,
( ~ sQ201_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1581,f69]) ).
fof(f1586,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f467,f76]) ).
fof(f1587,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f467,f75]) ).
fof(f1588,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f467,f68]) ).
fof(f1589,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f467,f66]) ).
fof(f1590,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f467,f64]) ).
fof(f1591,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f467,f73]) ).
fof(f1592,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f467,f71]) ).
fof(f1593,definition,
! [X0] :
( sQ202_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1594,plain,
! [X0] :
( ~ sQ202_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1593]) ).
fof(f1596,plain,
( ~ sQ107_spl
| sQ140_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1586,f1593,f749,f466]) ).
fof(f1597,plain,
( ~ sQ107_spl
| sQ156_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1587,f1593,f877,f466]) ).
fof(f1598,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1591,f467]) ).
fof(f1599,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1591,f69]) ).
fof(f1600,definition,
! [X0] :
( sQ203_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1603,plain,
( ~ sQ107_spl
| sQ150_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1598,f1600,f832,f466]) ).
fof(f1604,plain,
( ~ sQ107_spl
| sQ127_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1599,f1593,f641,f466]) ).
fof(f1605,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1592,f467]) ).
fof(f1606,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1592,f69]) ).
fof(f1607,plain,
( ~ sQ107_spl
| sQ193_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1605,f1600,f1449,f466]) ).
fof(f1608,plain,
( ~ sQ107_spl
| sQ133_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1606,f1593,f677,f466]) ).
fof(f1609,plain,
( ~ sQ202_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1594,f69]) ).
fof(f1614,plain,
( ~ sQ2_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f111,f79]) ).
fof(f1615,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f111,f76]) ).
fof(f1616,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f111,f75]) ).
fof(f1617,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f111,f68]) ).
fof(f1618,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f111,f66]) ).
fof(f1619,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_5,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f111,f64]) ).
fof(f1620,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f111,f73]) ).
fof(f1621,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f111,f71]) ).
fof(f1623,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1614,f60]) ).
fof(f1624,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f1623]) ).
fof(f1625,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f172,f1226]) ).
fof(f1626,plain,
( ~ sQ155_spl
| ~ sQ21_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f172,f874]) ).
fof(f1627,plain,
( ~ sQ151_spl
| ~ sQ21_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f172,f844]) ).
fof(f1628,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ21_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f172,f1230]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ21_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f172,f1229]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ21_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f172,f927]) ).
fof(f1631,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ21_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f172,f928]) ).
fof(f1632,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f172,f76]) ).
fof(f1633,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f172,f75]) ).
fof(f1634,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f172,f68]) ).
fof(f1635,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f172,f66]) ).
fof(f1636,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_1,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f172,f64]) ).
fof(f1637,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f172,f73]) ).
fof(f1638,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f172,f71]) ).
fof(f1639,plain,
( ~ sQ22_spl
| ~ sQ21_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1625,f796,f171,f174]) ).
fof(f1640,plain,
( ~ sQ151_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1627,f69]) ).
fof(f1641,plain,
( ~ sQ151_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1640]) ).
fof(f1642,plain,
( ~ sQ169_spl
| ~ sQ46_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f257,f1109]) ).
fof(f1643,plain,
( ~ sQ164_spl
| ~ sQ46_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f257,f1014]) ).
fof(f1644,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ46_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f257,f1230]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ46_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f257,f1229]) ).
fof(f1646,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ46_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f257,f927]) ).
fof(f1647,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ46_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f257,f928]) ).
fof(f1648,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f257,f76]) ).
fof(f1649,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f257,f75]) ).
fof(f1650,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f257,f68]) ).
fof(f1651,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f257,f66]) ).
fof(f1652,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f257,f64]) ).
fof(f1653,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f257,f73]) ).
fof(f1654,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f257,f71]) ).
fof(f1655,plain,
( ~ sQ164_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1643,f69]) ).
fof(f1656,plain,
( ~ sQ164_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1655]) ).
fof(f1657,plain,
( ~ sQ187_spl
| ~ sQ71_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f342,f1410]) ).
fof(f1658,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ71_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f342,f1230]) ).
fof(f1659,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ71_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f342,f1229]) ).
fof(f1660,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ71_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f342,f927]) ).
fof(f1661,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ71_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f342,f928]) ).
fof(f1662,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f342,f76]) ).
fof(f1663,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f342,f75]) ).
fof(f1664,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f342,f68]) ).
fof(f1665,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f342,f66]) ).
fof(f1666,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f342,f64]) ).
fof(f1667,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f342,f73]) ).
fof(f1668,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f342,f71]) ).
fof(f1669,plain,
( ~ sQ187_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1657,f69]) ).
fof(f1670,plain,
( ~ sQ187_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1669]) ).
fof(f1671,plain,
( ~ sQ98_spl
| ~ sQ96_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f427,f924]) ).
fof(f1672,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ96_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f427,f1230]) ).
fof(f1673,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ96_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f427,f1229]) ).
fof(f1674,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ96_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f427,f927]) ).
fof(f1675,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ96_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f427,f928]) ).
fof(f1676,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f427,f76]) ).
fof(f1678,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f427,f68]) ).
fof(f1679,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f427,f66]) ).
fof(f1680,plain,
( ~ sQ96_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f427,f74]) ).
fof(f1681,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f427,f64]) ).
fof(f1682,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f427,f73]) ).
fof(f1683,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f427,f71]) ).
fof(f1684,plain,
( ~ sQ98_spl
| ~ sQ96_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1671,f813,f426,f432]) ).
fof(f1685,definition,
! [X0] :
( sQ204_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1686,plain,
! [X0] :
( ~ sQ204_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1685]) ).
fof(f1688,plain,
( ~ sQ22_spl
| ~ sQ96_spl
| sQ146_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1672,f1685,f796,f426,f174]) ).
fof(f1689,plain,
( ~ sQ22_spl
| ~ sQ96_spl
| sQ178_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1673,f1685,f1283,f426,f174]) ).
fof(f1690,plain,
( ~ sQ98_spl
| ~ sQ96_spl
| sQ144_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1674,f1001,f781,f426,f432]) ).
fof(f1691,plain,
( ~ sQ98_spl
| ~ sQ96_spl
| sQ148_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1675,f1001,f813,f426,f432]) ).
fof(f1692,definition,
! [X0] :
( sQ205_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1695,plain,
( ~ sQ96_spl
| sQ142_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1676,f1692,f764,f426]) ).
fof(f1697,plain,
( ~ sQ96_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1680,f847,f426]) ).
fof(f1698,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ121_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f512,f1230]) ).
fof(f1699,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ121_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f512,f1229]) ).
fof(f1700,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ121_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f512,f927]) ).
fof(f1701,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ121_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f512,f928]) ).
fof(f1702,plain,
( ~ sQ121_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f512,f79]) ).
fof(f1703,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f512,f76]) ).
fof(f1704,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f512,f75]) ).
fof(f1705,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f512,f68]) ).
fof(f1706,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f512,f66]) ).
fof(f1707,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f512,f64]) ).
fof(f1708,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f512,f73]) ).
fof(f1709,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f512,f71]) ).
fof(f1710,definition,
! [X0] :
( sQ206_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1713,plain,
( ~ sQ22_spl
| ~ sQ121_spl
| sQ146_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f1698,f1710,f796,f511,f174]) ).
fof(f1714,plain,
( ~ sQ22_spl
| ~ sQ121_spl
| sQ174_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f1699,f1710,f1211,f511,f174]) ).
fof(f1715,definition,
! [X0] :
( sQ207_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1716,plain,
! [X0] :
( ~ sQ207_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1715]) ).
fof(f1718,plain,
( ~ sQ98_spl
| ~ sQ121_spl
| sQ152_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1700,f1715,f847,f511,f432]) ).
fof(f1719,plain,
( ~ sQ98_spl
| ~ sQ121_spl
| sQ148_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1701,f1715,f813,f511,f432]) ).
fof(f1720,plain,
( ~ sQ121_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1702,f764,f511]) ).
fof(f1721,definition,
! [X0] :
( sQ208_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1724,plain,
( ~ sQ121_spl
| sQ142_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1703,f1721,f764,f511]) ).
fof(f1725,plain,
( ~ sQ121_spl
| sQ150_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1704,f1721,f832,f511]) ).
fof(f1726,definition,
! [X0] :
( sQ209_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1727,plain,
! [X0] :
( ~ sQ209_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1726]) ).
fof(f1729,plain,
( ~ sQ22_spl
| ~ sQ71_spl
| sQ146_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f1658,f1726,f796,f341,f174]) ).
fof(f1730,plain,
( ~ sQ22_spl
| ~ sQ71_spl
| sQ176_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f1659,f1726,f1260,f341,f174]) ).
fof(f1731,definition,
! [X0] :
( sQ210_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1732,plain,
! [X0] :
( ~ sQ210_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1731]) ).
fof(f1734,plain,
( ~ sQ98_spl
| ~ sQ71_spl
| sQ137_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1660,f1731,f719,f341,f432]) ).
fof(f1735,plain,
( ~ sQ98_spl
| ~ sQ71_spl
| sQ148_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1661,f1731,f813,f341,f432]) ).
fof(f1736,definition,
! [X0] :
( sQ211_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1737,plain,
! [X0] :
( ~ sQ211_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1736]) ).
fof(f1739,plain,
( ~ sQ71_spl
| sQ142_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1662,f1736,f764,f341]) ).
fof(f1740,plain,
( ~ sQ71_spl
| sQ135_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1663,f1736,f702,f341]) ).
fof(f1741,plain,
( ~ sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1261,f60]) ).
fof(f1742,plain,
~ sQ176_spl,
inference(contradiction_clause,[status(thm)],[f1741]) ).
fof(f1743,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1667,f69]) ).
fof(f1744,plain,
( ~ sQ71_spl
| sQ154_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1743,f1736,f862,f341]) ).
fof(f1745,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1668,f69]) ).
fof(f1746,plain,
( ~ sQ71_spl
| sQ152_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1745,f1736,f847,f341]) ).
fof(f1747,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f156,f955]) ).
fof(f1748,plain,
( ~ sQ145_spl
| ~ sQ16_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f156,f793]) ).
fof(f1749,plain,
( ~ sQ141_spl
| ~ sQ16_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f156,f761]) ).
fof(f1750,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ16_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f156,f1372]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ16_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f156,f1371]) ).
fof(f1752,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ16_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f156,f959]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ16_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f156,f958]) ).
fof(f1754,plain,
( ~ sQ16_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f156,f78]) ).
fof(f1755,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f156,f76]) ).
fof(f1756,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f156,f75]) ).
fof(f1757,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f156,f68]) ).
fof(f1758,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f156,f66]) ).
fof(f1759,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f156,f64]) ).
fof(f1760,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f156,f73]) ).
fof(f1761,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f156,f71]) ).
fof(f1762,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1747,f813,f155,f161]) ).
fof(f1763,definition,
! [X0] :
( sQ212_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1766,plain,
( ~ sQ42_spl
| ~ sQ16_spl
| sQ146_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f1750,f1763,f796,f155,f243]) ).
fof(f1767,plain,
( ~ sQ42_spl
| ~ sQ16_spl
| sQ139_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f1751,f1763,f745,f155,f243]) ).
fof(f1768,definition,
! [X0] :
( sQ213_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1771,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| sQ148_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1752,f1768,f813,f155,f161]) ).
fof(f1772,definition,
( sQ214_spl
<=> equalish(e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1775,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| sQ214_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1753,f1768,f1772,f155,f161]) ).
fof(f1776,plain,
( ~ sQ16_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1754,f655,f155]) ).
fof(f1777,definition,
! [X0] :
( sQ215_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1780,plain,
( ~ sQ16_spl
| sQ144_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f1755,f1777,f781,f155]) ).
fof(f1781,plain,
( ~ sQ16_spl
| sQ129_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f1756,f1777,f655,f155]) ).
fof(f1782,plain,
( ~ sQ210_spl
| ~ sQ41_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f241,f1732]) ).
fof(f1783,plain,
( ~ sQ163_spl
| ~ sQ41_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f241,f1002]) ).
fof(f1784,plain,
( ~ sQ42_spl
| ~ sQ41_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f241,f1368]) ).
fof(f1785,plain,
( ~ sQ159_spl
| ~ sQ41_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f241,f930]) ).
fof(f1786,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ41_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f241,f1372]) ).
fof(f1787,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ41_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f241,f1371]) ).
fof(f1788,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ41_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f241,f959]) ).
fof(f1789,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ41_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f241,f958]) ).
fof(f1790,plain,
( ~ sQ41_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f241,f78]) ).
fof(f1791,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f241,f76]) ).
fof(f1792,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f241,f75]) ).
fof(f1793,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f241,f68]) ).
fof(f1794,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f241,f66]) ).
fof(f1795,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f241,f64]) ).
fof(f1796,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f241,f73]) ).
fof(f1797,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f241,f71]) ).
fof(f1798,plain,
( ~ sQ163_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1783,f69]) ).
fof(f1799,plain,
( ~ sQ163_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1798]) ).
fof(f1800,plain,
( ~ sQ71_spl
| ~ sQ66_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f326,f1666]) ).
fof(f1801,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ66_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f326,f1372]) ).
fof(f1802,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ66_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f326,f1371]) ).
fof(f1803,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ66_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f326,f959]) ).
fof(f1804,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ66_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f326,f958]) ).
fof(f1805,plain,
( ~ sQ66_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f326,f78]) ).
fof(f1806,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f326,f76]) ).
fof(f1807,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f326,f75]) ).
fof(f1808,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f326,f68]) ).
fof(f1809,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f326,f66]) ).
fof(f1810,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f326,f64]) ).
fof(f1811,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f326,f73]) ).
fof(f1812,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f326,f71]) ).
fof(f1813,plain,
( ~ sQ71_spl
| ~ sQ66_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f1800,f764,f325,f341]) ).
fof(f1814,definition,
! [X0] :
( sQ216_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1815,plain,
! [X0] :
( ~ sQ216_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1814]) ).
fof(f1817,plain,
( ~ sQ42_spl
| ~ sQ66_spl
| sQ146_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f1801,f1814,f796,f325,f243]) ).
fof(f1818,plain,
( ~ sQ42_spl
| ~ sQ66_spl
| sQ140_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f1802,f1814,f749,f325,f243]) ).
fof(f1819,definition,
! [X0] :
( sQ217_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1822,plain,
( ~ sQ18_spl
| ~ sQ66_spl
| sQ148_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f1803,f1819,f813,f325,f161]) ).
fof(f1823,plain,
( ~ sQ18_spl
| ~ sQ66_spl
| sQ176_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f1804,f1819,f1260,f325,f161]) ).
fof(f1824,plain,
( ~ sQ66_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1805,f719,f325]) ).
fof(f1825,definition,
! [X0] :
( sQ218_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1828,plain,
( ~ sQ66_spl
| sQ144_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1806,f1825,f781,f325]) ).
fof(f1829,plain,
( ~ sQ66_spl
| sQ137_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1807,f1825,f719,f325]) ).
fof(f1830,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ116_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f496,f1372]) ).
fof(f1831,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ116_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f496,f1371]) ).
fof(f1832,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ116_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f496,f959]) ).
fof(f1833,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ116_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f496,f958]) ).
fof(f1834,plain,
( ~ sQ116_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f496,f78]) ).
fof(f1835,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f496,f76]) ).
fof(f1836,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f496,f75]) ).
fof(f1837,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f496,f68]) ).
fof(f1838,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f496,f66]) ).
fof(f1839,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f496,f64]) ).
fof(f1840,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f496,f73]) ).
fof(f1841,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f496,f71]) ).
fof(f1842,definition,
! [X0] :
( sQ219_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1845,plain,
( ~ sQ42_spl
| ~ sQ116_spl
| sQ146_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f1830,f1842,f796,f495,f243]) ).
fof(f1846,plain,
( ~ sQ42_spl
| ~ sQ116_spl
| sQ156_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f1831,f1842,f877,f495,f243]) ).
fof(f1847,definition,
! [X0] :
( sQ220_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1850,plain,
( ~ sQ18_spl
| ~ sQ116_spl
| sQ148_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1832,f1847,f813,f495,f161]) ).
fof(f1851,plain,
( ~ sQ18_spl
| ~ sQ116_spl
| sQ174_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1833,f1847,f1211,f495,f161]) ).
fof(f1852,plain,
( ~ sQ116_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1834,f847,f495]) ).
fof(f1853,definition,
! [X0] :
( sQ221_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1856,plain,
( ~ sQ116_spl
| sQ144_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1835,f1853,f781,f495]) ).
fof(f1857,plain,
( ~ sQ116_spl
| sQ152_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1836,f1853,f847,f495]) ).
fof(f1858,plain,
( ~ sQ138_spl
| ~ sQ11_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f140,f743]) ).
fof(f1859,plain,
( ~ sQ136_spl
| ~ sQ11_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f140,f716]) ).
fof(f1860,plain,
( ~ sQ134_spl
| ~ sQ11_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f140,f699]) ).
fof(f1861,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ11_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f140,f1105]) ).
fof(f1862,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ11_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f140,f1104]) ).
fof(f1863,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f140,f76]) ).
fof(f1864,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f140,f75]) ).
fof(f1865,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f140,f68]) ).
fof(f1866,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f140,f66]) ).
fof(f1867,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f140,f64]) ).
fof(f1868,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f140,f73]) ).
fof(f1869,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f140,f71]) ).
fof(f1870,plain,
( ~ sQ136_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1859,f69]) ).
fof(f1871,plain,
( ~ sQ136_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1870]) ).
fof(f1872,plain,
( ~ sQ162_spl
| ~ sQ36_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f225,f986]) ).
fof(f1873,plain,
( ~ sQ158_spl
| ~ sQ36_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f225,f916]) ).
fof(f1874,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f225,f1105]) ).
fof(f1875,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ36_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f225,f1104]) ).
fof(f1876,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f225,f76]) ).
fof(f1877,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f225,f75]) ).
fof(f1878,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f225,f68]) ).
fof(f1879,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f225,f66]) ).
fof(f1880,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f225,f64]) ).
fof(f1881,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f225,f73]) ).
fof(f1882,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f225,f71]) ).
fof(f1883,plain,
( ~ sQ162_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1872,f69]) ).
fof(f1884,plain,
( ~ sQ162_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1883]) ).
fof(f1885,plain,
( ~ sQ71_spl
| ~ sQ61_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f310,f1666]) ).
fof(f1886,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ61_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f310,f1105]) ).
fof(f1887,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ61_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f310,f1104]) ).
fof(f1888,plain,
( ~ sQ61_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f310,f79]) ).
fof(f1889,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f310,f76]) ).
fof(f1890,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f310,f75]) ).
fof(f1891,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f310,f68]) ).
fof(f1892,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f310,f66]) ).
fof(f1893,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f310,f64]) ).
fof(f1894,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f310,f73]) ).
fof(f1895,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f310,f71]) ).
fof(f1896,plain,
( ~ sQ71_spl
| ~ sQ61_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1885,f702,f309,f341]) ).
fof(f1897,definition,
! [X0] :
( sQ222_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1898,plain,
! [X0] :
( ~ sQ222_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1897]) ).
fof(f1900,plain,
( ~ sQ113_spl
| ~ sQ61_spl
| sQ148_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f1886,f1897,f813,f309,f485]) ).
fof(f1901,plain,
( ~ sQ113_spl
| ~ sQ61_spl
| sQ135_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f1887,f1897,f702,f309,f485]) ).
fof(f1902,plain,
( ~ sQ61_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1888,f796,f309]) ).
fof(f1903,definition,
! [X0] :
( sQ223_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1906,plain,
( ~ sQ61_spl
| sQ146_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f1889,f1903,f796,f309]) ).
fof(f1907,plain,
( ~ sQ61_spl
| sQ193_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f1890,f1903,f1449,f309]) ).
fof(f1908,plain,
( ~ sQ211_spl
| ~ sQ86_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f395,f1737]) ).
fof(f1909,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ86_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f395,f1105]) ).
fof(f1910,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ86_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f395,f1104]) ).
fof(f1911,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f395,f76]) ).
fof(f1913,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f395,f68]) ).
fof(f1914,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f395,f66]) ).
fof(f1915,plain,
( ~ sQ86_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f395,f74]) ).
fof(f1916,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f395,f64]) ).
fof(f1917,plain,
! [X0,X1,X2] :
( ~ sQ86_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f395,f73]) ).
fof(f1918,plain,
! [X0,X1,X2] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f395,f71]) ).
fof(f1919,plain,
( ~ sQ113_spl
| ~ sQ86_spl
| sQ148_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1909,f1013,f813,f394,f485]) ).
fof(f1920,plain,
( ~ sQ113_spl
| ~ sQ86_spl
| sQ142_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1910,f1013,f764,f394,f485]) ).
fof(f1921,plain,
( ~ sQ86_spl
| sQ146_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1911,f1387,f796,f394]) ).
fof(f1923,plain,
( ~ sQ86_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1915,f719,f394]) ).
fof(f1924,plain,
( ~ sQ113_spl
| ~ sQ111_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f480,f1101]) ).
fof(f1925,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ111_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f480,f1105]) ).
fof(f1926,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ111_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f480,f1104]) ).
fof(f1927,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f480,f76]) ).
fof(f1928,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f480,f75]) ).
fof(f1929,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f480,f68]) ).
fof(f1930,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f480,f66]) ).
fof(f1931,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f480,f64]) ).
fof(f1932,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f480,f73]) ).
fof(f1933,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f480,f71]) ).
fof(f1934,plain,
( ~ sQ113_spl
| ~ sQ111_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1924,f813,f479,f485]) ).
fof(f1935,definition,
! [X0] :
( sQ224_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1938,plain,
( ~ sQ113_spl
| ~ sQ111_spl
| sQ148_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f1925,f1935,f813,f479,f485]) ).
fof(f1939,plain,
( ~ sQ113_spl
| ~ sQ111_spl
| sQ150_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f1926,f1935,f832,f479,f485]) ).
fof(f1940,definition,
! [X0] :
( sQ225_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1941,plain,
! [X0] :
( ~ sQ225_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1940]) ).
fof(f1943,plain,
( ~ sQ111_spl
| sQ146_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f1927,f1940,f796,f479]) ).
fof(f1944,plain,
( ~ sQ111_spl
| sQ154_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f1928,f1940,f862,f479]) ).
fof(f1945,definition,
! [X0] :
( sQ226_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1946,plain,
! [X0] :
( ~ sQ226_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1945]) ).
fof(f1948,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| sQ148_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f1874,f1945,f813,f224,f485]) ).
fof(f1949,plain,
( ~ sQ113_spl
| ~ sQ36_spl
| sQ127_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f1875,f1945,f641,f224,f485]) ).
fof(f1950,definition,
! [X0] :
( sQ227_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1951,plain,
! [X0] :
( ~ sQ227_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1950]) ).
fof(f1953,plain,
( ~ sQ36_spl
| sQ146_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f1876,f1950,f796,f224]) ).
fof(f1954,plain,
( ~ sQ36_spl
| sQ133_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f1877,f1950,f677,f224]) ).
fof(f1955,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1881,f69]) ).
fof(f1956,plain,
( ~ sQ36_spl
| sQ140_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f1955,f1950,f749,f224]) ).
fof(f1957,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1882,f69]) ).
fof(f1958,plain,
( ~ sQ36_spl
| sQ137_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f1957,f1950,f719,f224]) ).
fof(f1959,plain,
( ~ sQ227_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f1951,f69]) ).
fof(f1960,plain,
( ~ sQ131_spl
| ~ sQ6_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f124,f671]) ).
fof(f1961,plain,
( ~ sQ128_spl
| ~ sQ6_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f124,f653]) ).
fof(f1962,plain,
( ~ sQ125_spl
| ~ sQ6_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f124,f635]) ).
fof(f1963,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ6_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f124,f1592]) ).
fof(f1964,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ6_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f124,f1591]) ).
fof(f1965,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f124,f76]) ).
fof(f1966,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f124,f75]) ).
fof(f1967,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f124,f68]) ).
fof(f1968,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f124,f66]) ).
fof(f1969,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f124,f64]) ).
fof(f1970,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f124,f73]) ).
fof(f1971,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f124,f71]) ).
fof(f1972,plain,
( ~ sQ128_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1961,f69]) ).
fof(f1973,plain,
( ~ sQ128_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1972]) ).
fof(f1974,plain,
( ~ sQ36_spl
| ~ sQ31_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f209,f1880]) ).
fof(f1975,plain,
( ~ sQ202_spl
| ~ sQ31_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f209,f1594]) ).
fof(f1976,plain,
( ~ sQ201_spl
| ~ sQ31_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f209,f1581]) ).
fof(f1977,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ31_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f209,f1592]) ).
fof(f1978,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ31_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f209,f1591]) ).
fof(f1979,plain,
( ~ sQ31_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f209,f79]) ).
fof(f1980,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f209,f76]) ).
fof(f1981,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f209,f75]) ).
fof(f1982,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f209,f68]) ).
fof(f1983,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f209,f66]) ).
fof(f1984,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f209,f64]) ).
fof(f1985,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f209,f73]) ).
fof(f1986,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f209,f71]) ).
fof(f1987,plain,
( ~ sQ36_spl
| ~ sQ31_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1974,f677,f208,f224]) ).
fof(f1988,plain,
( ~ sQ202_spl
| ~ sQ31_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f1975,f341,f208,f1593]) ).
fof(f1989,definition,
! [X0] :
( sQ228_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1992,plain,
( ~ sQ107_spl
| ~ sQ31_spl
| sQ146_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1977,f1989,f796,f208,f466]) ).
fof(f1993,plain,
( ~ sQ107_spl
| ~ sQ31_spl
| sQ127_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1978,f1989,f641,f208,f466]) ).
fof(f1994,plain,
( ~ sQ31_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1979,f813,f208]) ).
fof(f1995,definition,
! [X0] :
( sQ229_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1998,plain,
( ~ sQ31_spl
| sQ148_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f1980,f1995,f813,f208]) ).
fof(f1999,plain,
( ~ sQ31_spl
| sQ168_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f1981,f1995,f1085,f208]) ).
fof(f2000,plain,
( ~ sQ71_spl
| ~ sQ56_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f294,f1666]) ).
fof(f2001,plain,
( ~ sQ190_spl
| ~ sQ56_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f294,f1423]) ).
fof(f2002,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ56_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f294,f1592]) ).
fof(f2003,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ56_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f294,f1591]) ).
fof(f2004,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f294,f76]) ).
fof(f2005,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f294,f75]) ).
fof(f2006,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f294,f68]) ).
fof(f2007,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f294,f66]) ).
fof(f2008,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f294,f64]) ).
fof(f2009,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f294,f73]) ).
fof(f2010,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f294,f71]) ).
fof(f2011,plain,
( ~ sQ71_spl
| ~ sQ56_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2000,f641,f293,f341]) ).
fof(f2012,plain,
( ~ sQ190_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2001,f69]) ).
fof(f2013,plain,
( ~ sQ190_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f2012]) ).
fof(f2014,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ81_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f379,f1592]) ).
fof(f2015,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ81_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f379,f1591]) ).
fof(f2016,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f379,f76]) ).
fof(f2018,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f379,f68]) ).
fof(f2019,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f379,f66]) ).
fof(f2020,plain,
( ~ sQ81_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f379,f74]) ).
fof(f2021,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f379,f64]) ).
fof(f2022,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f379,f73]) ).
fof(f2023,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f379,f71]) ).
fof(f2024,plain,
( ~ sQ107_spl
| ~ sQ81_spl
| sQ146_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f2014,f1409,f796,f378,f466]) ).
fof(f2025,plain,
( ~ sQ107_spl
| ~ sQ81_spl
| sQ142_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f2015,f1409,f764,f378,f466]) ).
fof(f2026,plain,
( ~ sQ81_spl
| sQ148_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f2016,f971,f813,f378]) ).
fof(f2028,plain,
( ~ sQ81_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f2020,f659,f378]) ).
fof(f2029,plain,
( ~ sQ107_spl
| ~ sQ106_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f464,f1588]) ).
fof(f2030,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ106_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f464,f1592]) ).
fof(f2031,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ106_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f464,f1591]) ).
fof(f2032,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f464,f76]) ).
fof(f2033,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f464,f75]) ).
fof(f2034,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f464,f68]) ).
fof(f2035,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f464,f66]) ).
fof(f2036,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f464,f64]) ).
fof(f2037,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f464,f73]) ).
fof(f2038,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f464,f71]) ).
fof(f2039,plain,
( ~ sQ107_spl
| ~ sQ106_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f2029,f796,f463,f466]) ).
fof(f2040,definition,
! [X0] :
( sQ230_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2043,plain,
( ~ sQ107_spl
| ~ sQ106_spl
| sQ146_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2030,f2040,f796,f463,f466]) ).
fof(f2044,plain,
( ~ sQ107_spl
| ~ sQ106_spl
| sQ150_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2031,f2040,f832,f463,f466]) ).
fof(f2045,definition,
! [X0] :
( sQ231_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2046,plain,
! [X0] :
( ~ sQ231_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2045]) ).
fof(f2048,plain,
( ~ sQ106_spl
| sQ148_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2032,f2045,f813,f463]) ).
fof(f2049,plain,
( ~ sQ106_spl
| sQ156_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2033,f2045,f877,f463]) ).
fof(f2050,plain,
( ~ sQ82_spl
| ~ sQ227_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f382,f1959]) ).
fof(f2051,plain,
( ~ sQ82_spl
| ~ sQ227_spl ),
inference(contradiction_clause,[status(thm)],[f2050]) ).
fof(f2052,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2037,f464]) ).
fof(f2053,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2037,f69]) ).
fof(f2054,definition,
! [X0] :
( sQ232_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2057,plain,
( ~ sQ106_spl
| sQ150_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f2052,f2054,f832,f463]) ).
fof(f2058,plain,
( ~ sQ106_spl
| sQ127_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2053,f2045,f641,f463]) ).
fof(f2059,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2038,f464]) ).
fof(f2060,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2038,f69]) ).
fof(f2061,plain,
( ~ sQ106_spl
| sQ144_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f2059,f2054,f781,f463]) ).
fof(f2062,plain,
( ~ sQ106_spl
| sQ130_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f2060,f2045,f659,f463]) ).
fof(f2063,plain,
( ~ sQ231_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f2046,f69]) ).
fof(f2064,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ82_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1578,f464]) ).
fof(f2065,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1578,f69]) ).
fof(f2066,definition,
! [X0] :
( sQ233_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f2067,plain,
! [X0] :
( ~ sQ233_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f2066]) ).
fof(f2069,plain,
( ~ sQ106_spl
| ~ sQ82_spl
| sQ152_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f2064,f2066,f847,f381,f463]) ).
fof(f2070,plain,
( ~ sQ82_spl
| sQ130_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f2065,f1580,f659,f381]) ).
fof(f2071,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ82_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1579,f464]) ).
fof(f2072,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1579,f69]) ).
fof(f2073,plain,
( ~ sQ106_spl
| ~ sQ82_spl
| sQ146_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f2071,f2066,f796,f381,f463]) ).
fof(f2074,plain,
( ~ sQ82_spl
| sQ133_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f2072,f1580,f677,f381]) ).
fof(f2075,plain,
( ~ sQ225_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1941,f69]) ).
fof(f2079,plain,
( ~ sQ1_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f108,f79]) ).
fof(f2080,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f108,f76]) ).
fof(f2081,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f108,f75]) ).
fof(f2082,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f108,f68]) ).
fof(f2083,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f108,f66]) ).
fof(f2084,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_5,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f108,f64]) ).
fof(f2085,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f108,f73]) ).
fof(f2086,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f108,f71]) ).
fof(f2087,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2079,f59]) ).
fof(f2088,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f2087]) ).
fof(f2089,definition,
! [X0] :
( sQ234_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2090,plain,
! [X0] :
( ~ sQ234_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2089]) ).
fof(f2092,plain,
( ~ sQ11_spl
| sQ146_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f1863,f2089,f796,f139]) ).
fof(f2093,plain,
( ~ sQ11_spl
| sQ132_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f1864,f2089,f673,f139]) ).
fof(f2094,definition,
! [X0] :
( sQ235_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2095,plain,
! [X0] :
( ~ sQ235_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2094]) ).
fof(f2097,plain,
( ~ sQ6_spl
| sQ148_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f1965,f2094,f813,f123]) ).
fof(f2098,plain,
( ~ sQ6_spl
| sQ139_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f1966,f2094,f745,f123]) ).
fof(f2099,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f169,f1226]) ).
fof(f2100,plain,
( ~ sQ155_spl
| ~ sQ20_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f169,f874]) ).
fof(f2101,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ20_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f169,f1668]) ).
fof(f2102,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ20_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f169,f1667]) ).
fof(f2103,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ20_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f169,f1230]) ).
fof(f2104,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ20_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f169,f1229]) ).
fof(f2105,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ20_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f169,f927]) ).
fof(f2106,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ20_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f169,f928]) ).
fof(f2107,plain,
( ~ sQ20_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f169,f78]) ).
fof(f2108,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f169,f76]) ).
fof(f2109,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f169,f75]) ).
fof(f2110,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f169,f68]) ).
fof(f2111,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f169,f66]) ).
fof(f2112,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f169,f64]) ).
fof(f2113,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f169,f73]) ).
fof(f2114,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f169,f71]) ).
fof(f2115,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f2099,f862,f168,f174]) ).
fof(f2116,definition,
! [X0] :
( sQ236_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2119,plain,
( ~ sQ71_spl
| ~ sQ20_spl
| sQ152_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f2101,f2116,f847,f168,f341]) ).
fof(f2120,plain,
( ~ sQ71_spl
| ~ sQ20_spl
| sQ132_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f2102,f2116,f673,f168,f341]) ).
fof(f2121,definition,
! [X0] :
( sQ237_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2124,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| sQ154_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f2103,f2121,f862,f168,f174]) ).
fof(f2125,plain,
( ~ sQ22_spl
| ~ sQ20_spl
| sQ214_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f2104,f2121,f1772,f168,f174]) ).
fof(f2126,definition,
! [X0] :
( sQ238_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2127,plain,
! [X0] :
( ~ sQ238_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f2126]) ).
fof(f2129,plain,
( ~ sQ98_spl
| ~ sQ20_spl
| sQ129_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2105,f2126,f655,f168,f432]) ).
fof(f2130,plain,
( ~ sQ98_spl
| ~ sQ20_spl
| sQ156_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2106,f2126,f877,f168,f432]) ).
fof(f2131,plain,
( ~ sQ20_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f2107,f637,f168]) ).
fof(f2132,definition,
! [X0] :
( sQ239_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2135,plain,
( ~ sQ20_spl
| sQ150_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2108,f2132,f832,f168]) ).
fof(f2136,plain,
( ~ sQ20_spl
| sQ126_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2109,f2132,f637,f168]) ).
fof(f2137,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ45_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f254,f1668]) ).
fof(f2138,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ45_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f254,f1667]) ).
fof(f2139,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ45_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f254,f1230]) ).
fof(f2140,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ45_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f254,f1229]) ).
fof(f2141,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ45_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f254,f927]) ).
fof(f2142,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ45_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f254,f928]) ).
fof(f2143,plain,
( ~ sQ45_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f254,f78]) ).
fof(f2144,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f254,f76]) ).
fof(f2145,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f254,f75]) ).
fof(f2146,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f254,f68]) ).
fof(f2147,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f254,f66]) ).
fof(f2148,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f254,f64]) ).
fof(f2149,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f254,f73]) ).
fof(f2150,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f254,f71]) ).
fof(f2151,definition,
! [X0] :
( sQ240_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2154,plain,
( ~ sQ71_spl
| ~ sQ45_spl
| sQ152_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f2137,f2151,f847,f253,f341]) ).
fof(f2155,plain,
( ~ sQ71_spl
| ~ sQ45_spl
| sQ133_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f2138,f2151,f677,f253,f341]) ).
fof(f2156,definition,
! [X0] :
( sQ241_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2159,plain,
( ~ sQ22_spl
| ~ sQ45_spl
| sQ154_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f2139,f2156,f862,f253,f174]) ).
fof(f2160,plain,
( ~ sQ22_spl
| ~ sQ45_spl
| sQ189_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f2140,f2156,f1418,f253,f174]) ).
fof(f2161,definition,
! [X0] :
( sQ242_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2164,plain,
( ~ sQ98_spl
| ~ sQ45_spl
| sQ130_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f2141,f2161,f659,f253,f432]) ).
fof(f2165,plain,
( ~ sQ98_spl
| ~ sQ45_spl
| sQ156_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f2142,f2161,f877,f253,f432]) ).
fof(f2166,plain,
( ~ sQ45_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2143,f641,f253]) ).
fof(f2167,definition,
! [X0] :
( sQ243_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2170,plain,
( ~ sQ45_spl
| sQ150_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f2144,f2167,f832,f253]) ).
fof(f2171,plain,
( ~ sQ45_spl
| sQ127_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f2145,f2167,f641,f253]) ).
fof(f2172,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f339,f1664]) ).
fof(f2173,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ70_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f339,f1668]) ).
fof(f2174,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ70_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f339,f1667]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ70_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f339,f1230]) ).
fof(f2176,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ70_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f339,f1229]) ).
fof(f2177,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ70_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f339,f927]) ).
fof(f2178,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ70_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f339,f928]) ).
fof(f2179,plain,
( ~ sQ70_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f339,f78]) ).
fof(f2180,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f339,f76]) ).
fof(f2181,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f339,f75]) ).
fof(f2182,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f339,f68]) ).
fof(f2183,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f339,f66]) ).
fof(f2184,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f339,f64]) ).
fof(f2185,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f339,f73]) ).
fof(f2186,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f339,f71]) ).
fof(f2187,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f2172,f847,f338,f341]) ).
fof(f2188,definition,
! [X0] :
( sQ244_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2191,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| sQ152_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f2173,f2188,f847,f338,f341]) ).
fof(f2192,plain,
( ~ sQ71_spl
| ~ sQ70_spl
| sQ193_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f2174,f2188,f1449,f338,f341]) ).
fof(f2193,definition,
! [X0] :
( sQ245_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2196,plain,
( ~ sQ22_spl
| ~ sQ70_spl
| sQ154_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2175,f2193,f862,f338,f174]) ).
fof(f2197,plain,
( ~ sQ22_spl
| ~ sQ70_spl
| sQ176_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2176,f2193,f1260,f338,f174]) ).
fof(f2198,definition,
! [X0] :
( sQ246_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2201,plain,
( ~ sQ98_spl
| ~ sQ70_spl
| sQ137_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2177,f2198,f719,f338,f432]) ).
fof(f2202,plain,
( ~ sQ98_spl
| ~ sQ70_spl
| sQ156_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2178,f2198,f877,f338,f432]) ).
fof(f2203,plain,
( ~ sQ70_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f2179,f702,f338]) ).
fof(f2204,definition,
! [X0] :
( sQ247_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2205,plain,
! [X0] :
( ~ sQ247_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2204]) ).
fof(f2207,plain,
( ~ sQ70_spl
| sQ150_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2180,f2204,f832,f338]) ).
fof(f2208,plain,
( ~ sQ70_spl
| sQ135_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2181,f2204,f702,f338]) ).
fof(f2209,plain,
( ~ sQ98_spl
| ~ sQ95_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f424,f924]) ).
fof(f2210,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ95_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f424,f1668]) ).
fof(f2211,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ95_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f424,f1667]) ).
fof(f2212,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ95_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f424,f1230]) ).
fof(f2213,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ95_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f424,f1229]) ).
fof(f2214,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ95_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f424,f927]) ).
fof(f2215,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ95_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f424,f928]) ).
fof(f2216,plain,
( ~ sQ95_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f424,f78]) ).
fof(f2217,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f424,f76]) ).
fof(f2218,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f424,f75]) ).
fof(f2219,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f424,f68]) ).
fof(f2220,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f424,f66]) ).
fof(f2221,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f424,f64]) ).
fof(f2222,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f424,f73]) ).
fof(f2223,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f424,f71]) ).
fof(f2224,plain,
( ~ sQ98_spl
| ~ sQ95_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f2209,f877,f423,f432]) ).
fof(f2225,definition,
! [X0] :
( sQ248_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2226,plain,
! [X0] :
( ~ sQ248_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f2225]) ).
fof(f2228,plain,
( ~ sQ71_spl
| ~ sQ95_spl
| sQ152_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2210,f2225,f847,f423,f341]) ).
fof(f2229,plain,
( ~ sQ71_spl
| ~ sQ95_spl
| sQ146_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2211,f2225,f796,f423,f341]) ).
fof(f2230,definition,
! [X0] :
( sQ249_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2233,plain,
( ~ sQ22_spl
| ~ sQ95_spl
| sQ154_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2212,f2230,f862,f423,f174]) ).
fof(f2234,plain,
( ~ sQ22_spl
| ~ sQ95_spl
| sQ178_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2213,f2230,f1283,f423,f174]) ).
fof(f2235,definition,
! [X0] :
( sQ250_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2238,plain,
( ~ sQ98_spl
| ~ sQ95_spl
| sQ144_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2214,f2235,f781,f423,f432]) ).
fof(f2239,plain,
( ~ sQ98_spl
| ~ sQ95_spl
| sQ156_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2215,f2235,f877,f423,f432]) ).
fof(f2240,plain,
( ~ sQ95_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2216,f764,f423]) ).
fof(f2241,definition,
! [X0] :
( sQ251_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2244,plain,
( ~ sQ95_spl
| sQ150_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2217,f2241,f832,f423]) ).
fof(f2245,plain,
( ~ sQ95_spl
| sQ142_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2218,f2241,f764,f423]) ).
fof(f2246,plain,
( ~ sQ178_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1284,f59]) ).
fof(f2247,plain,
~ sQ178_spl,
inference(contradiction_clause,[status(thm)],[f2246]) ).
fof(f2248,plain,
( ~ sQ18_spl
| ~ sQ15_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f153,f955]) ).
fof(f2249,plain,
( ~ sQ145_spl
| ~ sQ15_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f153,f793]) ).
fof(f2250,plain,
( ~ sQ141_spl
| ~ sQ15_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f153,f761]) ).
fof(f2251,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ15_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f153,f959]) ).
fof(f2252,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ15_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f153,f958]) ).
fof(f2253,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f153,f76]) ).
fof(f2254,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f153,f75]) ).
fof(f2255,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f153,f68]) ).
fof(f2256,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f153,f66]) ).
fof(f2257,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f153,f64]) ).
fof(f2258,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f153,f73]) ).
fof(f2259,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f153,f71]) ).
fof(f2260,plain,
( ~ sQ18_spl
| ~ sQ15_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f2248,f877,f152,f161]) ).
fof(f2261,plain,
( ~ sQ141_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2250,f69]) ).
fof(f2262,plain,
( ~ sQ141_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f2261]) ).
fof(f2263,plain,
( ~ sQ210_spl
| ~ sQ40_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f238,f1732]) ).
fof(f2264,plain,
( ~ sQ159_spl
| ~ sQ40_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f238,f930]) ).
fof(f2265,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ40_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f238,f959]) ).
fof(f2266,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ40_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f238,f958]) ).
fof(f2267,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f238,f76]) ).
fof(f2268,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f238,f75]) ).
fof(f2269,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f238,f68]) ).
fof(f2270,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f238,f66]) ).
fof(f2271,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f238,f64]) ).
fof(f2272,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f238,f73]) ).
fof(f2273,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f238,f71]) ).
fof(f2274,plain,
( ~ sQ159_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2264,f69]) ).
fof(f2275,plain,
( ~ sQ159_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f2274]) ).
fof(f2276,definition,
! [X0] :
( sQ252_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2279,plain,
( ~ sQ18_spl
| ~ sQ41_spl
| sQ148_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f1788,f2276,f813,f240,f161]) ).
fof(f2280,plain,
( ~ sQ18_spl
| ~ sQ41_spl
| sQ189_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f1789,f2276,f1418,f240,f161]) ).
fof(f2281,plain,
( ~ sQ41_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1790,f659,f240]) ).
fof(f2282,definition,
! [X0] :
( sQ253_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2285,plain,
( ~ sQ41_spl
| sQ144_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f1791,f2282,f781,f240]) ).
fof(f2286,plain,
( ~ sQ41_spl
| sQ130_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f1792,f2282,f659,f240]) ).
fof(f2287,plain,
( ~ sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1419,f61]) ).
fof(f2288,plain,
~ sQ189_spl,
inference(contradiction_clause,[status(thm)],[f2287]) ).
fof(f2289,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ65_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f323,f959]) ).
fof(f2290,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ65_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f323,f958]) ).
fof(f2291,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f323,f76]) ).
fof(f2292,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f323,f75]) ).
fof(f2293,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f323,f68]) ).
fof(f2294,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f323,f66]) ).
fof(f2295,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f323,f64]) ).
fof(f2296,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f323,f73]) ).
fof(f2297,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f323,f71]) ).
fof(f2298,definition,
! [X0] :
( sQ254_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2299,plain,
! [X0] :
( ~ sQ254_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2298]) ).
fof(f2301,plain,
( ~ sQ18_spl
| ~ sQ65_spl
| sQ156_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f2289,f2298,f877,f322,f161]) ).
fof(f2302,plain,
( ~ sQ18_spl
| ~ sQ65_spl
| sQ176_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f2290,f2298,f1260,f322,f161]) ).
fof(f2303,definition,
! [X0] :
( sQ255_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2304,plain,
! [X0] :
( ~ sQ255_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2303]) ).
fof(f2306,plain,
( ~ sQ65_spl
| sQ152_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2291,f2303,f847,f322]) ).
fof(f2307,plain,
( ~ sQ65_spl
| sQ137_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2292,f2303,f719,f322]) ).
fof(f2308,plain,
( ~ sQ68_spl
| ~ sQ201_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f332,f1585]) ).
fof(f2309,plain,
( ~ sQ68_spl
| ~ sQ201_spl ),
inference(contradiction_clause,[status(thm)],[f2308]) ).
fof(f2310,plain,
( ~ sQ90_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f408,f79]) ).
fof(f2311,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f408,f76]) ).
fof(f2312,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f408,f75]) ).
fof(f2313,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f408,f68]) ).
fof(f2314,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f408,f66]) ).
fof(f2315,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f408,f64]) ).
fof(f2316,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f408,f73]) ).
fof(f2317,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f408,f71]) ).
fof(f2318,plain,
( ~ sQ90_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f2310,f847,f407]) ).
fof(f2319,definition,
! [X0] :
( sQ256_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2322,plain,
( ~ sQ90_spl
| sQ152_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2311,f2319,f847,f407]) ).
fof(f2323,plain,
( ~ sQ90_spl
| sQ144_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2312,f2319,f781,f407]) ).
fof(f2328,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1932,f69]) ).
fof(f2329,plain,
( ~ sQ111_spl
| sQ135_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f2328,f1940,f702,f479]) ).
fof(f2330,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1933,f69]) ).
fof(f2331,plain,
( ~ sQ111_spl
| sQ137_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f2330,f1940,f719,f479]) ).
fof(f2332,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1064,f69]) ).
fof(f2333,plain,
( ~ sQ88_spl
| sQ140_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f2332,f1065,f749,f400]) ).
fof(f2336,plain,
( ~ sQ234_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f2090,f69]) ).
fof(f2337,plain,
( ~ sQ255_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f2304,f69]) ).
fof(f2338,plain,
( ~ sQ255_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f2337,f479,f2303]) ).
fof(f2339,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f632,f69]) ).
fof(f2340,plain,
( ~ sQ49_spl
| sQ156_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f2339,f634,f877,f265]) ).
fof(f2341,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1028,f69]) ).
fof(f2342,plain,
( ~ sQ13_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f2341,f1256,f1260,f145]) ).
fof(f2343,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1029,f69]) ).
fof(f2344,plain,
( ~ sQ13_spl
| sQ140_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f2343,f1256,f749,f145]) ).
fof(f2345,plain,
( ~ sQ235_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f2095,f69]) ).
fof(f2350,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f713,f69]) ).
fof(f2351,plain,
( ~ sQ69_spl
| sQ146_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f2350,f715,f796,f334]) ).
fof(f2352,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f714,f69]) ).
fof(f2353,plain,
( ~ sQ69_spl
| sQ178_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f2352,f715,f1283,f334]) ).
fof(f2354,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ6_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1970,f464]) ).
fof(f2355,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1970,f69]) ).
fof(f2356,definition,
! [X0] :
( sQ257_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2357,plain,
! [X0] :
( ~ sQ257_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f2356]) ).
fof(f2359,plain,
( ~ sQ106_spl
| ~ sQ6_spl
| sQ174_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2354,f2356,f1211,f123,f463]) ).
fof(f2360,plain,
( ~ sQ6_spl
| sQ189_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f2355,f2094,f1418,f123]) ).
fof(f2361,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ6_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1971,f464]) ).
fof(f2362,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1971,f69]) ).
fof(f2363,plain,
( ~ sQ106_spl
| ~ sQ6_spl
| sQ144_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2361,f2356,f781,f123,f463]) ).
fof(f2364,plain,
( ~ sQ6_spl
| sQ130_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f2362,f2094,f659,f123]) ).
fof(f2365,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1242,f69]) ).
fof(f2366,plain,
( ~ sQ47_spl
| sQ156_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2365,f1331,f877,f259]) ).
fof(f2367,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1243,f69]) ).
fof(f2368,plain,
( ~ sQ47_spl
| sQ154_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2367,f1331,f862,f259]) ).
fof(f2369,plain,
( ~ sQ106_spl
| ~ sQ111_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1931,f464]) ).
fof(f2370,plain,
( ~ sQ106_spl
| ~ sQ111_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f2369,f677,f479,f463]) ).
fof(f2372,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2296,f69]) ).
fof(f2373,plain,
( ~ sQ65_spl
| sQ146_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2372,f2303,f796,f322]) ).
fof(f2374,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2297,f69]) ).
fof(f2375,plain,
( ~ sQ65_spl
| sQ142_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2374,f2303,f764,f322]) ).
fof(f2376,plain,
( ~ sQ255_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f2304,f69]) ).
fof(f2377,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1868,f69]) ).
fof(f2378,plain,
( ~ sQ11_spl
| sQ176_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f2377,f2089,f1260,f139]) ).
fof(f2379,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1869,f69]) ).
fof(f2380,plain,
( ~ sQ11_spl
| sQ137_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f2379,f2089,f719,f139]) ).
fof(f2381,plain,
( ~ sQ65_spl
| ~ sQ115_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f493,f2294]) ).
fof(f2382,plain,
( ~ sQ118_spl
| ~ sQ115_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f493,f1008]) ).
fof(f2383,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ115_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f493,f2297]) ).
fof(f2384,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ115_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f493,f2296]) ).
fof(f2385,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ115_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f493,f1372]) ).
fof(f2386,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ115_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f493,f1371]) ).
fof(f2387,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ115_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f493,f1012]) ).
fof(f2388,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ115_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f493,f1011]) ).
fof(f2389,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f493,f76]) ).
fof(f2391,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f493,f68]) ).
fof(f2392,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f493,f66]) ).
fof(f2393,plain,
( ~ sQ115_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f493,f74]) ).
fof(f2394,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f493,f64]) ).
fof(f2395,plain,
! [X0,X1,X2] :
( ~ sQ115_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f493,f73]) ).
fof(f2396,plain,
! [X0,X1,X2] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f493,f71]) ).
fof(f2397,plain,
( ~ sQ65_spl
| ~ sQ115_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f2381,f862,f492,f322]) ).
fof(f2398,plain,
( ~ sQ118_spl
| ~ sQ115_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f2382,f877,f492,f501]) ).
fof(f2399,plain,
( ~ sQ65_spl
| ~ sQ115_spl
| sQ150_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2383,f2204,f832,f492,f322]) ).
fof(f2400,plain,
( ~ sQ65_spl
| ~ sQ115_spl
| sQ154_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2384,f2204,f862,f492,f322]) ).
fof(f2401,plain,
( ~ sQ42_spl
| ~ sQ115_spl
| sQ154_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2385,f1331,f862,f492,f243]) ).
fof(f2402,plain,
( ~ sQ42_spl
| ~ sQ115_spl
| sQ156_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f2386,f1331,f877,f492,f243]) ).
fof(f2403,plain,
( ~ sQ118_spl
| ~ sQ115_spl
| sQ156_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f2387,f943,f877,f492,f501]) ).
fof(f2404,plain,
( ~ sQ118_spl
| ~ sQ115_spl
| sQ150_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f2388,f943,f832,f492,f501]) ).
fof(f2405,plain,
( ~ sQ115_spl
| sQ152_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f2389,f1692,f847,f492]) ).
fof(f2407,plain,
( ~ sQ115_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2393,f764,f492]) ).
fof(f2408,definition,
! [X0] :
( sQ258_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2409,plain,
! [X0] :
( ~ sQ258_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f2408]) ).
fof(f2411,plain,
( ~ sQ107_spl
| ~ sQ6_spl
| sQ146_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f1963,f2408,f796,f123,f466]) ).
fof(f2412,plain,
( ~ sQ107_spl
| ~ sQ6_spl
| sQ126_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f1964,f2408,f637,f123,f466]) ).
fof(f2413,plain,
( ~ sQ23_spl
| ~ sQ47_spl
| sQ140_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1235,f1414,f749,f259,f177]) ).
fof(f2414,plain,
( ~ sQ23_spl
| ~ sQ47_spl
| sQ189_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1236,f1414,f1418,f259,f177]) ).
fof(f2415,plain,
( ~ sQ97_spl
| ~ sQ225_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f430,f2075]) ).
fof(f2416,plain,
( ~ sQ97_spl
| ~ sQ225_spl ),
inference(contradiction_clause,[status(thm)],[f2415]) ).
fof(f2417,plain,
( ~ sQ17_spl
| sQ137_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1352,f1685,f719,f158]) ).
fof(f2418,plain,
( ~ sQ17_spl
| sQ129_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1353,f1685,f655,f158]) ).
fof(f2419,plain,
( ~ sQ98_spl
| ~ sQ231_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f433,f2063]) ).
fof(f2420,plain,
( ~ sQ98_spl
| ~ sQ231_spl ),
inference(contradiction_clause,[status(thm)],[f2419]) ).
fof(f2425,plain,
( ~ sQ13_spl
| ~ sQ10_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f137,f1025]) ).
fof(f2426,plain,
( ~ sQ134_spl
| ~ sQ10_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f137,f699]) ).
fof(f2427,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ10_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f137,f1029]) ).
fof(f2428,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ10_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f137,f1028]) ).
fof(f2429,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f137,f76]) ).
fof(f2430,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f137,f75]) ).
fof(f2431,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f137,f68]) ).
fof(f2432,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f137,f66]) ).
fof(f2433,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f137,f64]) ).
fof(f2434,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f137,f73]) ).
fof(f2435,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f137,f71]) ).
fof(f2436,plain,
( ~ sQ13_spl
| ~ sQ10_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f2425,f877,f136,f145]) ).
fof(f2437,plain,
( ~ sQ134_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2426,f69]) ).
fof(f2438,plain,
( ~ sQ134_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2437]) ).
fof(f2439,plain,
( ~ sQ158_spl
| ~ sQ35_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f222,f916]) ).
fof(f2440,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ35_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f222,f1029]) ).
fof(f2441,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ35_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f222,f1028]) ).
fof(f2442,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f222,f76]) ).
fof(f2443,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f222,f75]) ).
fof(f2444,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f222,f68]) ).
fof(f2445,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f222,f66]) ).
fof(f2446,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f222,f64]) ).
fof(f2447,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f222,f73]) ).
fof(f2448,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f222,f71]) ).
fof(f2449,plain,
( ~ sQ158_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2439,f69]) ).
fof(f2450,plain,
( ~ sQ158_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f2449]) ).
fof(f2451,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f307,f2295]) ).
fof(f2452,plain,
( ~ sQ234_spl
| ~ sQ60_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f307,f2090]) ).
fof(f2453,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ60_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f307,f1029]) ).
fof(f2454,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ60_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f307,f1028]) ).
fof(f2455,plain,
( ~ sQ60_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f307,f79]) ).
fof(f2456,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f307,f76]) ).
fof(f2457,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f307,f75]) ).
fof(f2458,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f307,f68]) ).
fof(f2459,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f307,f66]) ).
fof(f2460,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f307,f64]) ).
fof(f2461,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f307,f73]) ).
fof(f2462,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f307,f71]) ).
fof(f2463,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f2451,f719,f306,f322]) ).
fof(f2464,plain,
( ~ sQ13_spl
| ~ sQ60_spl
| sQ156_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f2453,f2298,f877,f306,f145]) ).
fof(f2465,plain,
( ~ sQ13_spl
| ~ sQ60_spl
| sQ176_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f2454,f2298,f1260,f306,f145]) ).
fof(f2466,plain,
( ~ sQ60_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f2455,f862,f306]) ).
fof(f2467,definition,
! [X0] :
( sQ259_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2470,plain,
( ~ sQ60_spl
| sQ154_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2456,f2467,f862,f306]) ).
fof(f2471,plain,
( ~ sQ60_spl
| sQ193_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2457,f2467,f1449,f306]) ).
fof(f2472,plain,
( ~ sQ211_spl
| ~ sQ85_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f392,f1737]) ).
fof(f2473,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ85_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f392,f1029]) ).
fof(f2474,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ85_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f392,f1028]) ).
fof(f2475,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f392,f76]) ).
fof(f2476,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f392,f75]) ).
fof(f2477,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f392,f68]) ).
fof(f2478,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f392,f66]) ).
fof(f2479,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_3,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f392,f64]) ).
fof(f2480,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f392,f73]) ).
fof(f2481,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f392,f71]) ).
fof(f2482,plain,
( ~ sQ211_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2472,f69]) ).
fof(f2483,plain,
( ~ sQ211_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f2482]) ).
fof(f2484,definition,
! [X0] :
( sQ260_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2485,plain,
! [X0] :
( ~ sQ260_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f2484]) ).
fof(f2487,plain,
( ~ sQ22_spl
| ~ sQ46_spl
| sQ146_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f1644,f2484,f796,f256,f174]) ).
fof(f2488,plain,
( ~ sQ22_spl
| ~ sQ46_spl
| sQ189_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f1645,f2484,f1418,f256,f174]) ).
fof(f2489,definition,
! [X0] :
( sQ261_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2490,plain,
! [X0] :
( ~ sQ261_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2489]) ).
fof(f2492,plain,
( ~ sQ46_spl
| sQ142_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f1648,f2489,f764,f256]) ).
fof(f2493,plain,
( ~ sQ46_spl
| sQ127_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f1649,f2489,f641,f256]) ).
fof(f2494,plain,
( ~ sQ247_spl
| ~ sQ110_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f477,f2205]) ).
fof(f2495,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ110_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f477,f1029]) ).
fof(f2496,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ110_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f477,f1028]) ).
fof(f2497,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f477,f76]) ).
fof(f2499,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f477,f68]) ).
fof(f2500,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f477,f66]) ).
fof(f2501,plain,
( ~ sQ110_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f477,f74]) ).
fof(f2502,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f477,f64]) ).
fof(f2503,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f477,f73]) ).
fof(f2504,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f477,f71]) ).
fof(f2505,plain,
( ~ sQ247_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2494,f69]) ).
fof(f2506,plain,
( ~ sQ247_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f2505]) ).
fof(f2507,plain,
( ~ sQ13_spl
| ~ sQ110_spl
| sQ156_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f2495,f1205,f877,f476,f145]) ).
fof(f2508,plain,
( ~ sQ13_spl
| ~ sQ110_spl
| sQ174_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f2496,f1205,f1211,f476,f145]) ).
fof(f2509,plain,
( ~ sQ110_spl
| sQ154_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f2497,f1264,f862,f476]) ).
fof(f2511,plain,
( ~ sQ110_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f2501,f702,f476]) ).
fof(f2512,definition,
! [X0] :
( sQ262_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2513,plain,
! [X0] :
( ~ sQ262_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f2512]) ).
fof(f2515,plain,
( ~ sQ98_spl
| ~ sQ46_spl
| sQ130_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f1646,f2512,f659,f256,f432]) ).
fof(f2516,plain,
( ~ sQ98_spl
| ~ sQ46_spl
| sQ148_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f1647,f2512,f813,f256,f432]) ).
fof(f2517,definition,
! [X0] :
( sQ263_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2518,plain,
! [X0] :
( ~ sQ263_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2517]) ).
fof(f2520,plain,
( ~ sQ13_spl
| ~ sQ85_spl
| sQ156_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2473,f2517,f877,f391,f145]) ).
fof(f2521,plain,
( ~ sQ13_spl
| ~ sQ85_spl
| sQ178_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2474,f2517,f1283,f391,f145]) ).
fof(f2522,definition,
! [X0] :
( sQ264_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2523,plain,
! [X0] :
( ~ sQ264_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2522]) ).
fof(f2525,plain,
( ~ sQ85_spl
| sQ154_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2475,f2522,f862,f391]) ).
fof(f2526,plain,
( ~ sQ85_spl
| sQ146_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2476,f2522,f796,f391]) ).
fof(f2527,definition,
! [X0] :
( sQ265_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2528,plain,
! [X0] :
( ~ sQ265_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2527]) ).
fof(f2530,plain,
( ~ sQ113_spl
| ~ sQ11_spl
| sQ148_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f1861,f2527,f813,f139,f485]) ).
fof(f2531,plain,
( ~ sQ113_spl
| ~ sQ11_spl
| sQ126_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f1862,f2527,f637,f139,f485]) ).
fof(f2532,definition,
! [X0] :
( sQ266_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2533,plain,
! [X0] :
( ~ sQ266_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2532]) ).
fof(f2535,plain,
( ~ sQ13_spl
| ~ sQ35_spl
| sQ156_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2440,f2532,f877,f221,f145]) ).
fof(f2536,plain,
( ~ sQ13_spl
| ~ sQ35_spl
| sQ189_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2441,f2532,f1418,f221,f145]) ).
fof(f2537,definition,
! [X0] :
( sQ267_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2538,plain,
! [X0] :
( ~ sQ267_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2537]) ).
fof(f2540,plain,
( ~ sQ35_spl
| sQ154_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2442,f2537,f862,f221]) ).
fof(f2541,plain,
( ~ sQ35_spl
| sQ133_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2443,f2537,f677,f221]) ).
fof(f2542,plain,
( ~ sQ131_spl
| ~ sQ5_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f121,f671]) ).
fof(f2543,plain,
( ~ sQ125_spl
| ~ sQ5_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f121,f635]) ).
fof(f2544,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ5_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f121,f1592]) ).
fof(f2545,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ5_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f121,f1591]) ).
fof(f2546,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f121,f76]) ).
fof(f2547,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f121,f75]) ).
fof(f2548,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f121,f68]) ).
fof(f2549,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f121,f66]) ).
fof(f2550,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f121,f64]) ).
fof(f2551,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f121,f73]) ).
fof(f2552,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f121,f71]) ).
fof(f2553,plain,
( ~ sQ125_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2543,f69]) ).
fof(f2554,plain,
( ~ sQ125_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f2553]) ).
fof(f2555,plain,
( ~ sQ235_spl
| ~ sQ30_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f206,f2095]) ).
fof(f2556,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ30_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f206,f1592]) ).
fof(f2557,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ30_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f206,f1591]) ).
fof(f2558,plain,
( ~ sQ30_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f206,f79]) ).
fof(f2559,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f206,f76]) ).
fof(f2560,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f206,f75]) ).
fof(f2561,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f206,f68]) ).
fof(f2562,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f206,f66]) ).
fof(f2563,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f206,f64]) ).
fof(f2564,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f206,f73]) ).
fof(f2565,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f206,f71]) ).
fof(f2566,definition,
! [X0] :
( sQ268_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2567,plain,
! [X0] :
( ~ sQ268_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f2566]) ).
fof(f2569,plain,
( ~ sQ107_spl
| ~ sQ30_spl
| sQ154_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f2556,f2566,f862,f205,f466]) ).
fof(f2570,plain,
( ~ sQ107_spl
| ~ sQ30_spl
| sQ127_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f2557,f2566,f641,f205,f466]) ).
fof(f2571,plain,
( ~ sQ30_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f2558,f877,f205]) ).
fof(f2572,definition,
! [X0] :
( sQ269_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2575,plain,
( ~ sQ30_spl
| sQ156_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2559,f2572,f877,f205]) ).
fof(f2576,plain,
( ~ sQ30_spl
| sQ168_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2560,f2572,f1085,f205]) ).
fof(f2577,plain,
( ~ sQ65_spl
| ~ sQ55_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f291,f2295]) ).
fof(f2578,plain,
( ~ sQ190_spl
| ~ sQ55_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f291,f1423]) ).
fof(f2579,plain,
( ~ sQ183_spl
| ~ sQ55_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f291,f1332]) ).
fof(f2580,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ55_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f291,f1592]) ).
fof(f2581,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ55_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f291,f1591]) ).
fof(f2582,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f291,f76]) ).
fof(f2583,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f291,f75]) ).
fof(f2584,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f291,f68]) ).
fof(f2585,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f291,f66]) ).
fof(f2586,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f291,f64]) ).
fof(f2587,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f291,f73]) ).
fof(f2588,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f291,f71]) ).
fof(f2589,plain,
( ~ sQ65_spl
| ~ sQ55_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f2577,f659,f290,f322]) ).
fof(f2590,plain,
( ~ sQ183_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2579,f69]) ).
fof(f2591,plain,
( ~ sQ183_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2590]) ).
fof(f2592,definition,
! [X0] :
( sQ270_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2593,plain,
! [X0] :
( ~ sQ270_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f2592]) ).
fof(f2595,plain,
( ~ sQ107_spl
| ~ sQ55_spl
| sQ154_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2580,f2592,f862,f290,f466]) ).
fof(f2596,plain,
( ~ sQ107_spl
| ~ sQ55_spl
| sQ135_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2581,f2592,f702,f290,f466]) ).
fof(f2597,definition,
! [X0] :
( sQ271_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2598,plain,
! [X0] :
( ~ sQ271_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2597]) ).
fof(f2600,plain,
( ~ sQ55_spl
| sQ156_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2582,f2597,f877,f290]) ).
fof(f2601,plain,
( ~ sQ55_spl
| sQ140_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2583,f2597,f749,f290]) ).
fof(f2602,definition,
! [X0] :
( sQ272_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2603,plain,
! [X0] :
( ~ sQ272_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2602]) ).
fof(f2605,plain,
( ~ sQ15_spl
| sQ152_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2253,f2602,f847,f152]) ).
fof(f2606,plain,
( ~ sQ15_spl
| sQ129_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2254,f2602,f655,f152]) ).
fof(f2607,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ80_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f376,f1592]) ).
fof(f2608,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ80_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f376,f1591]) ).
fof(f2609,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f376,f76]) ).
fof(f2610,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f376,f75]) ).
fof(f2611,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f376,f68]) ).
fof(f2612,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f376,f66]) ).
fof(f2613,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f376,f64]) ).
fof(f2614,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f376,f73]) ).
fof(f2615,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f376,f71]) ).
fof(f2616,definition,
! [X0] :
( sQ273_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2619,plain,
( ~ sQ107_spl
| ~ sQ80_spl
| sQ154_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f2607,f2616,f862,f375,f466]) ).
fof(f2620,plain,
( ~ sQ107_spl
| ~ sQ80_spl
| sQ142_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f2608,f2616,f764,f375,f466]) ).
fof(f2621,definition,
! [X0] :
( sQ274_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2622,plain,
! [X0] :
( ~ sQ274_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2621]) ).
fof(f2624,plain,
( ~ sQ80_spl
| sQ156_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f2609,f2621,f877,f375]) ).
fof(f2625,plain,
( ~ sQ80_spl
| sQ148_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f2610,f2621,f813,f375]) ).
fof(f2626,definition,
! [X0] :
( sQ275_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2627,plain,
! [X0] :
( ~ sQ275_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2626]) ).
fof(f2629,plain,
( ~ sQ7_spl
| sQ140_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f1535,f2626,f749,f126]) ).
fof(f2630,plain,
( ~ sQ7_spl
| sQ139_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f1536,f2626,f745,f126]) ).
fof(f2631,definition,
! [X0] :
( sQ276_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2632,plain,
! [X0] :
( ~ sQ276_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2631]) ).
fof(f2634,plain,
( ~ sQ56_spl
| sQ148_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f2004,f2631,f813,f293]) ).
fof(f2635,plain,
( ~ sQ56_spl
| sQ140_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f2005,f2631,f749,f293]) ).
fof(f2636,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1653,f69]) ).
fof(f2637,plain,
( ~ sQ46_spl
| sQ156_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2636,f2489,f877,f256]) ).
fof(f2638,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1654,f69]) ).
fof(f2639,plain,
( ~ sQ46_spl
| sQ152_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2638,f2489,f847,f256]) ).
fof(f2640,plain,
( ~ sQ80_spl
| ~ sQ261_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f2490,f376]) ).
fof(f2641,plain,
( ~ sQ80_spl
| ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2640,f69]) ).
fof(f2642,plain,
( ~ sQ80_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f2641]) ).
fof(f2647,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2480,f69]) ).
fof(f2648,plain,
( ~ sQ85_spl
| sQ137_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2647,f2522,f719,f391]) ).
fof(f2649,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2481,f69]) ).
fof(f2650,plain,
( ~ sQ85_spl
| sQ135_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2649,f2522,f702,f391]) ).
fof(f2655,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2447,f69]) ).
fof(f2656,plain,
( ~ sQ35_spl
| sQ140_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2655,f2537,f749,f221]) ).
fof(f2657,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2448,f69]) ).
fof(f2658,plain,
( ~ sQ35_spl
| sQ135_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2657,f2537,f702,f221]) ).
fof(f2659,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f696,f69]) ).
fof(f2660,plain,
( ~ sQ74_spl
| sQ154_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f2659,f698,f862,f350]) ).
fof(f2661,plain,
( ~ sQ164_spl
| ~ sQ47_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f1233,f413,f259,f1013]) ).
fof(f2662,definition,
! [X0] :
( sQ277_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2663,plain,
! [X0] :
( ~ sQ277_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2662]) ).
fof(f2665,plain,
( ~ sQ40_spl
| sQ152_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f2267,f2662,f847,f237]) ).
fof(f2666,plain,
( ~ sQ40_spl
| sQ130_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f2268,f2662,f659,f237]) ).
fof(f2667,definition,
! [X0] :
( sQ278_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2668,plain,
! [X0] :
( ~ sQ278_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2667]) ).
fof(f2670,plain,
( ~ sQ21_spl
| sQ142_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f1632,f2667,f764,f171]) ).
fof(f2671,plain,
( ~ sQ21_spl
| sQ126_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f1633,f2667,f637,f171]) ).
fof(f2672,plain,
( ~ sQ264_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f2523,f69]) ).
fof(f2673,plain,
( ~ sQ264_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f2672,f498,f2522]) ).
fof(f2674,plain,
( ~ sQ267_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f2538,f69]) ).
fof(f2679,plain,
( ~ sQ274_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f2622,f69]) ).
fof(f2680,plain,
( ~ sQ274_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f2679,f501,f2621]) ).
fof(f2681,definition,
! [X0] :
( sQ279_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2682,plain,
! [X0] :
( ~ sQ279_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f2681]) ).
fof(f2684,plain,
( ~ sQ98_spl
| ~ sQ21_spl
| sQ129_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f1630,f2681,f655,f171,f432]) ).
fof(f2685,plain,
( ~ sQ98_spl
| ~ sQ21_spl
| sQ148_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f1631,f2681,f813,f171,f432]) ).
fof(f2686,definition,
! [X0] :
( sQ280_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2689,plain,
( ~ sQ107_spl
| ~ sQ56_spl
| sQ146_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f2002,f2686,f796,f293,f466]) ).
fof(f2690,plain,
( ~ sQ107_spl
| ~ sQ56_spl
| sQ135_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f2003,f2686,f702,f293,f466]) ).
fof(f2691,plain,
( ~ sQ276_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f2632,f69]) ).
fof(f2709,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1637,f69]) ).
fof(f2710,plain,
( ~ sQ21_spl
| sQ174_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f2709,f2667,f1211,f171]) ).
fof(f2711,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1638,f69]) ).
fof(f2712,plain,
( ~ sQ21_spl
| sQ152_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f2711,f2667,f847,f171]) ).
fof(f2717,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2009,f69]) ).
fof(f2718,plain,
( ~ sQ56_spl
| sQ133_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f2717,f2631,f677,f293]) ).
fof(f2719,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2010,f69]) ).
fof(f2720,plain,
( ~ sQ56_spl
| sQ130_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f2719,f2631,f659,f293]) ).
fof(f2721,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1357,f69]) ).
fof(f2722,plain,
( ~ sQ17_spl
| sQ178_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f2721,f1685,f1283,f158]) ).
fof(f2723,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1358,f69]) ).
fof(f2724,plain,
( ~ sQ17_spl
| sQ146_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f2723,f1685,f796,f158]) ).
fof(f2725,plain,
( ~ sQ272_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f2603,f69]) ).
fof(f2732,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ105_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f461,f1578]) ).
fof(f2733,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ105_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f461,f2010]) ).
fof(f2734,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ105_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f461,f2009]) ).
fof(f2735,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f461,f76]) ).
fof(f2737,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f461,f68]) ).
fof(f2738,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f461,f66]) ).
fof(f2739,plain,
( ~ sQ105_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f461,f74]) ).
fof(f2740,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f461,f64]) ).
fof(f2741,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f461,f73]) ).
fof(f2742,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f461,f71]) ).
fof(f2743,plain,
( ~ sQ82_spl
| ~ sQ105_spl
| sQ152_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f2732,f1305,f847,f460,f381]) ).
fof(f2744,plain,
( ~ sQ56_spl
| ~ sQ105_spl
| sQ152_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f2733,f1736,f847,f460,f293]) ).
fof(f2745,plain,
( ~ sQ56_spl
| ~ sQ105_spl
| sQ154_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f2734,f1736,f862,f460,f293]) ).
fof(f2746,plain,
( ~ sQ105_spl
| sQ156_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f2735,f901,f877,f460]) ).
fof(f2748,plain,
( ~ sQ105_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2739,f641,f460]) ).
fof(f2749,plain,
( ~ sQ18_spl
| ~ sQ40_spl
| sQ156_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2265,f2532,f877,f237,f161]) ).
fof(f2750,plain,
( ~ sQ18_spl
| ~ sQ40_spl
| sQ189_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2266,f2532,f1418,f237,f161]) ).
fof(f2751,plain,
( ~ sQ107_spl
| ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f467,f2674]) ).
fof(f2752,plain,
( ~ sQ107_spl
| ~ sQ267_spl ),
inference(contradiction_clause,[status(thm)],[f2751]) ).
fof(f2753,plain,
( ~ sQ202_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f1609,f347,f1593]) ).
fof(f2754,definition,
! [X0] :
( sQ281_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2755,plain,
! [X0] :
( ~ sQ281_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2754]) ).
fof(f2757,plain,
( ~ sQ10_spl
| sQ154_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2429,f2754,f862,f136]) ).
fof(f2758,plain,
( ~ sQ10_spl
| sQ132_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2430,f2754,f673,f136]) ).
fof(f2759,plain,
( ~ sQ88_spl
| ~ sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f401,f2691]) ).
fof(f2760,plain,
( ~ sQ88_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f2759]) ).
fof(f2761,plain,
( ~ sQ78_spl
| ~ sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f369,f2345]) ).
fof(f2762,plain,
( ~ sQ78_spl
| ~ sQ235_spl ),
inference(contradiction_clause,[status(thm)],[f2761]) ).
fof(f2763,plain,
( ~ sQ0_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f105,f79]) ).
fof(f2764,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f105,f76]) ).
fof(f2765,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f105,f75]) ).
fof(f2766,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f105,f68]) ).
fof(f2767,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f105,f66]) ).
fof(f2768,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_5,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f105,f64]) ).
fof(f2769,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f105,f73]) ).
fof(f2770,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f105,f71]) ).
fof(f2771,plain,
( ~ sQ0_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f2763,f1211,f104]) ).
fof(f2772,definition,
! [X0] :
( sQ282_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2775,plain,
( ~ sQ0_spl
| sQ174_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f2764,f2772,f1211,f104]) ).
fof(f2776,plain,
( ~ sQ0_spl
| sQ214_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f2765,f2772,f1772,f104]) ).
fof(f2777,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f451,f76]) ).
fof(f2778,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f451,f75]) ).
fof(f2779,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f451,f68]) ).
fof(f2780,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f451,f66]) ).
fof(f2781,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_5,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f451,f64]) ).
fof(f2782,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f451,f73]) ).
fof(f2783,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f451,f71]) ).
fof(f2784,definition,
! [X0] :
( sQ283_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2785,plain,
! [X0] :
( ~ sQ283_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2784]) ).
fof(f2787,plain,
( ~ sQ102_spl
| sQ176_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f2777,f2784,f1260,f450]) ).
fof(f2788,plain,
( ~ sQ102_spl
| sQ174_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f2778,f2784,f1211,f450]) ).
fof(f2792,plain,
( ~ sQ271_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f2598,f69]) ).
fof(f2793,plain,
( ~ sQ277_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f2663,f69]) ).
fof(f2810,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2587,f69]) ).
fof(f2811,plain,
( ~ sQ55_spl
| sQ133_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2810,f2597,f677,f290]) ).
fof(f2812,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2588,f69]) ).
fof(f2813,plain,
( ~ sQ55_spl
| sQ127_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2812,f2597,f641,f290]) ).
fof(f2814,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f758,f69]) ).
fof(f2815,plain,
( ~ sQ99_spl
| sQ152_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f2814,f760,f847,f435]) ).
fof(f2816,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f759,f69]) ).
fof(f2817,plain,
( ~ sQ99_spl
| sQ174_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f2816,f760,f1211,f435]) ).
fof(f2818,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f668,f69]) ).
fof(f2819,plain,
( ~ sQ39_spl
| sQ140_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f2818,f670,f749,f233]) ).
fof(f2820,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f669,f69]) ).
fof(f2821,plain,
( ~ sQ39_spl
| sQ176_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f2820,f670,f1260,f233]) ).
fof(f2822,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2272,f69]) ).
fof(f2823,plain,
( ~ sQ40_spl
| sQ148_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f2822,f2662,f813,f237]) ).
fof(f2824,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2273,f69]) ).
fof(f2825,plain,
( ~ sQ40_spl
| sQ142_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f2824,f2662,f764,f237]) ).
fof(f2826,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f914,f69]) ).
fof(f2827,plain,
( ~ sQ73_spl
| sQ156_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f2826,f915,f877,f347]) ).
fof(f2830,plain,
( ~ sQ281_spl
| ~ product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f2755,f69]) ).
fof(f2831,plain,
( ~ sQ283_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f2785,f69]) ).
fof(f2832,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f871,f69]) ).
fof(f2833,plain,
( ~ sQ109_spl
| sQ127_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f2832,f873,f641,f472]) ).
fof(f2834,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f872,f69]) ).
fof(f2835,plain,
( ~ sQ109_spl
| sQ189_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f2834,f873,f1418,f472]) ).
fof(f2840,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1402,f69]) ).
fof(f2841,plain,
( ~ sQ117_spl
| sQ142_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f2840,f1409,f764,f498]) ).
fof(f2842,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1403,f69]) ).
fof(f2843,plain,
( ~ sQ117_spl
| sQ146_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f2842,f1409,f796,f498]) ).
fof(f2844,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2434,f69]) ).
fof(f2845,plain,
( ~ sQ10_spl
| sQ176_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2844,f2754,f1260,f136]) ).
fof(f2846,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2435,f69]) ).
fof(f2847,plain,
( ~ sQ10_spl
| sQ135_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2846,f2754,f702,f136]) ).
fof(f2851,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ111_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f480,f2435]) ).
fof(f2852,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ111_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f480,f2434]) ).
fof(f2853,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ111_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f480,f1063]) ).
fof(f2854,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ111_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f480,f1064]) ).
fof(f2855,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ111_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f480,f669]) ).
fof(f2856,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ111_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f480,f668]) ).
fof(f2857,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f480,f1933]) ).
fof(f2858,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f480,f1932]) ).
fof(f2866,definition,
! [X0] :
( sQ284_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2867,plain,
! [X0] :
( ~ sQ284_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f2866]) ).
fof(f2869,plain,
( ~ sQ10_spl
| ~ sQ111_spl
| sQ142_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f2851,f2866,f764,f479,f136]) ).
fof(f2870,plain,
( ~ sQ10_spl
| ~ sQ111_spl
| sQ174_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f2852,f2866,f1211,f479,f136]) ).
fof(f2871,plain,
( ~ sQ88_spl
| ~ sQ111_spl
| sQ152_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f2853,f1715,f847,f479,f400]) ).
fof(f2872,plain,
( ~ sQ88_spl
| ~ sQ111_spl
| sQ148_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f2854,f1715,f813,f479,f400]) ).
fof(f2873,definition,
! [X0] :
( sQ285_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2874,plain,
! [X0] :
( ~ sQ285_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f2873]) ).
fof(f2876,plain,
( ~ sQ39_spl
| ~ sQ111_spl
| sQ178_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f2855,f2873,f1283,f479,f233]) ).
fof(f2877,plain,
( ~ sQ39_spl
| ~ sQ111_spl
| sQ156_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f2856,f2873,f877,f479,f233]) ).
fof(f2878,plain,
( ~ sQ111_spl
| sQ144_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f2857,f2054,f781,f479]) ).
fof(f2879,plain,
( ~ sQ111_spl
| sQ150_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f2858,f2054,f832,f479]) ).
fof(f2885,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ69_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f335,f1403]) ).
fof(f2886,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ69_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f335,f1402]) ).
fof(f2887,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ69_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f335,f2273]) ).
fof(f2888,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ69_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f335,f2272]) ).
fof(f2889,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ69_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f335,f959]) ).
fof(f2890,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ69_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f335,f958]) ).
fof(f2891,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f335,f714]) ).
fof(f2892,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f335,f713]) ).
fof(f2900,definition,
! [X0] :
( sQ286_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f2901,plain,
! [X0] :
( ~ sQ286_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f2900]) ).
fof(f2903,plain,
( ~ sQ117_spl
| ~ sQ69_spl
| sQ132_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f2885,f2900,f673,f334,f498]) ).
fof(f2904,plain,
( ~ sQ117_spl
| ~ sQ69_spl
| sQ135_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f2886,f2900,f702,f334,f498]) ).
fof(f2905,definition,
! [X0] :
( sQ287_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f2906,plain,
! [X0] :
( ~ sQ287_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f2905]) ).
fof(f2908,plain,
( ~ sQ40_spl
| ~ sQ69_spl
| sQ126_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f2887,f2905,f637,f334,f237]) ).
fof(f2909,plain,
( ~ sQ40_spl
| ~ sQ69_spl
| sQ140_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f2888,f2905,f749,f334,f237]) ).
fof(f2910,definition,
! [X0] :
( sQ288_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f2911,plain,
! [X0] :
( ~ sQ288_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2910]) ).
fof(f2913,plain,
( ~ sQ18_spl
| ~ sQ69_spl
| sQ139_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f2889,f2910,f745,f334,f161]) ).
fof(f2914,plain,
( ~ sQ18_spl
| ~ sQ69_spl
| sQ176_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f2890,f2910,f1260,f334,f161]) ).
fof(f2915,definition,
! [X0] :
( sQ289_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2918,plain,
( ~ sQ69_spl
| sQ214_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f2891,f2915,f1772,f334]) ).
fof(f2919,plain,
( ~ sQ69_spl
| sQ193_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f2892,f2915,f1449,f334]) ).
fof(f2925,plain,
( ~ sQ261_spl
| ~ sQ82_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f382,f2490]) ).
fof(f2926,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ82_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f382,f872]) ).
fof(f2927,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ82_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f382,f871]) ).
fof(f2928,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ82_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f382,f2588]) ).
fof(f2929,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ82_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f382,f2587]) ).
fof(f2930,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ82_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f382,f1971]) ).
fof(f2931,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ82_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f382,f1970]) ).
fof(f2932,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f382,f1579]) ).
fof(f2933,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f382,f1578]) ).
fof(f2941,definition,
! [X0] :
( sQ290_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f2942,plain,
! [X0] :
( ~ sQ290_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f2941]) ).
fof(f2944,plain,
( ~ sQ109_spl
| ~ sQ82_spl
| sQ176_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f2926,f2941,f1260,f381,f472]) ).
fof(f2945,plain,
( ~ sQ109_spl
| ~ sQ82_spl
| sQ142_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f2927,f2941,f764,f381,f472]) ).
fof(f2946,definition,
! [X0] :
( sQ291_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f2947,plain,
! [X0] :
( ~ sQ291_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f2946]) ).
fof(f2949,plain,
( ~ sQ55_spl
| ~ sQ82_spl
| sQ135_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f2928,f2946,f702,f381,f290]) ).
fof(f2950,plain,
( ~ sQ55_spl
| ~ sQ82_spl
| sQ146_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f2929,f2946,f796,f381,f290]) ).
fof(f2951,definition,
! [X0] :
( sQ292_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f2952,plain,
! [X0] :
( ~ sQ292_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f2951]) ).
fof(f2954,plain,
( ~ sQ6_spl
| ~ sQ82_spl
| sQ137_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f2930,f2951,f719,f381,f123]) ).
fof(f2955,plain,
( ~ sQ6_spl
| ~ sQ82_spl
| sQ178_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f2931,f2951,f1283,f381,f123]) ).
fof(f2956,definition,
! [X0] :
( sQ293_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f2959,plain,
( ~ sQ82_spl
| sQ193_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f2932,f2956,f1449,f381]) ).
fof(f2960,plain,
( ~ sQ82_spl
| sQ144_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f2933,f2956,f781,f381]) ).
fof(f2963,plain,
( ~ sQ69_spl
| ~ sQ292_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f2952,f335]) ).
fof(f2964,plain,
( ~ sQ69_spl
| ~ sQ291_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f2947,f335]) ).
fof(f2965,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f454,f76]) ).
fof(f2966,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f454,f75]) ).
fof(f2967,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f454,f68]) ).
fof(f2968,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f454,f66]) ).
fof(f2969,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_5,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f454,f64]) ).
fof(f2970,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f454,f73]) ).
fof(f2971,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f454,f71]) ).
fof(f2972,definition,
! [X0] :
( sQ294_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f2973,plain,
! [X0] :
( ~ sQ294_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2972]) ).
fof(f2975,plain,
( ~ sQ103_spl
| sQ189_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f2965,f2972,f1418,f453]) ).
fof(f2976,plain,
( ~ sQ103_spl
| sQ174_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f2966,f2972,f1211,f453]) ).
fof(f2980,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2970,f454]) ).
fof(f2981,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2970,f69]) ).
fof(f2982,plain,
( ~ sQ103_spl
| sQ150_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f2980,f1076,f832,f453]) ).
fof(f2983,plain,
( ~ sQ103_spl
| sQ126_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f2981,f2972,f637,f453]) ).
fof(f2984,plain,
( ~ sQ260_spl
| ~ sQ51_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f278,f2485]) ).
fof(f2985,plain,
( ~ sQ184_spl
| ~ sQ51_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f278,f1339]) ).
fof(f2986,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ51_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f278,f2970]) ).
fof(f2987,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f278,f76]) ).
fof(f2988,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f278,f75]) ).
fof(f2989,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f278,f68]) ).
fof(f2990,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f278,f66]) ).
fof(f2991,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_5,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f278,f64]) ).
fof(f2992,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f278,f73]) ).
fof(f2993,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f278,f71]) ).
fof(f2994,plain,
( ~ sQ103_spl
| ~ sQ51_spl
| sQ135_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f2986,f1897,f702,f277,f453]) ).
fof(f2995,definition,
! [X0] :
( sQ295_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f2996,plain,
! [X0] :
( ~ sQ295_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2995]) ).
fof(f2998,plain,
( ~ sQ51_spl
| sQ178_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f2987,f2995,f1283,f277]) ).
fof(f2999,plain,
( ~ sQ51_spl
| sQ176_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f2988,f2995,f1260,f277]) ).
fof(f3000,plain,
( ~ sQ186_spl
| ~ sQ27_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f196,f1405]) ).
fof(f3001,plain,
( ~ sQ266_spl
| ~ sQ27_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f196,f2533]) ).
fof(f3002,plain,
( ~ sQ170_spl
| ~ sQ27_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f196,f1114]) ).
fof(f3003,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ27_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f196,f2970]) ).
fof(f3004,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f196,f76]) ).
fof(f3005,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f196,f75]) ).
fof(f3006,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f196,f68]) ).
fof(f3007,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f196,f66]) ).
fof(f3008,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_5,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f196,f64]) ).
fof(f3009,plain,
! [X0,X1,X2] :
( ~ sQ27_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f196,f73]) ).
fof(f3010,plain,
! [X0,X1,X2] :
( ~ sQ27_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f196,f71]) ).
fof(f3011,plain,
( ~ sQ103_spl
| ~ sQ27_spl
| sQ127_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f3003,f1466,f641,f195,f453]) ).
fof(f3012,definition,
! [X0] :
( sQ296_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f3013,plain,
! [X0] :
( ~ sQ296_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f3012]) ).
fof(f3015,plain,
( ~ sQ27_spl
| sQ176_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f3004,f3012,f1260,f195]) ).
fof(f3016,plain,
( ~ sQ27_spl
| sQ189_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f3005,f3012,f1418,f195]) ).
fof(f3017,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ75_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f360,f2970]) ).
fof(f3018,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f360,f76]) ).
fof(f3019,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f360,f75]) ).
fof(f3020,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f360,f68]) ).
fof(f3021,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f360,f66]) ).
fof(f3022,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_5,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f360,f64]) ).
fof(f3023,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f360,f73]) ).
fof(f3024,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f360,f71]) ).
fof(f3025,definition,
! [X0] :
( sQ297_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f3026,plain,
! [X0] :
( ~ sQ297_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f3025]) ).
fof(f3028,plain,
( ~ sQ103_spl
| ~ sQ75_spl
| sQ142_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f3017,f3025,f764,f359,f453]) ).
fof(f3029,definition,
! [X0] :
( sQ298_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f3030,plain,
! [X0] :
( ~ sQ298_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f3029]) ).
fof(f3032,plain,
( ~ sQ75_spl
| sQ174_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3018,f3029,f1211,f359]) ).
fof(f3033,plain,
( ~ sQ75_spl
| sQ178_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3019,f3029,f1283,f359]) ).
fof(f3036,plain,
( ~ sQ290_spl
| ~ sQ22_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f175,f2942]) ).
fof(f3038,plain,
( ~ sQ155_spl
| ~ sQ22_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f175,f874]) ).
fof(f3039,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ22_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f175,f913]) ).
fof(f3040,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ22_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f175,f914]) ).
fof(f3041,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ22_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f175,f759]) ).
fof(f3042,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ22_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f175,f758]) ).
fof(f3043,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ22_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f175,f1654]) ).
fof(f3044,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ22_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f175,f1653]) ).
fof(f3045,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f175,f1230]) ).
fof(f3046,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f175,f1229]) ).
fof(f3054,definition,
! [X0] :
( sQ299_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f3055,plain,
! [X0] :
( ~ sQ299_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f3054]) ).
fof(f3057,plain,
( ~ sQ73_spl
| ~ sQ22_spl
| sQ132_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3039,f3054,f673,f174,f347]) ).
fof(f3058,plain,
( ~ sQ73_spl
| ~ sQ22_spl
| sQ140_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3040,f3054,f749,f174,f347]) ).
fof(f3059,definition,
! [X0] :
( sQ300_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f3060,plain,
! [X0] :
( ~ sQ300_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f3059]) ).
fof(f3062,plain,
( ~ sQ99_spl
| ~ sQ22_spl
| sQ176_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f3041,f3059,f1260,f174,f435]) ).
fof(f3063,plain,
( ~ sQ99_spl
| ~ sQ22_spl
| sQ129_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f3042,f3059,f655,f174,f435]) ).
fof(f3064,plain,
( ~ sQ46_spl
| ~ sQ22_spl
| sQ137_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f3043,f2484,f719,f174,f256]) ).
fof(f3065,plain,
( ~ sQ46_spl
| ~ sQ22_spl
| sQ139_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f3044,f2484,f745,f174,f256]) ).
fof(f3066,definition,
! [X0] :
( sQ301_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f3069,plain,
( ~ sQ22_spl
| sQ193_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3045,f3066,f1449,f174]) ).
fof(f3070,plain,
( ~ sQ22_spl
| sQ214_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3046,f3066,f1772,f174]) ).
fof(f3077,plain,
( ~ sQ141_spl
| ~ sQ18_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f162,f761]) ).
fof(f3078,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ18_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f162,f1403]) ).
fof(f3079,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ18_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f162,f1402]) ).
fof(f3080,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ18_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f162,f2273]) ).
fof(f3081,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ18_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f162,f2272]) ).
fof(f3082,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f162,f959]) ).
fof(f3083,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f162,f958]) ).
fof(f3084,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ18_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f162,f714]) ).
fof(f3085,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ18_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f162,f713]) ).
fof(f3093,plain,
( ~ sQ117_spl
| ~ sQ18_spl
| sQ133_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f3078,f1404,f677,f161,f498]) ).
fof(f3094,plain,
( ~ sQ117_spl
| ~ sQ18_spl
| sQ126_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f3079,f1404,f637,f161,f498]) ).
fof(f3095,plain,
( ~ sQ40_spl
| ~ sQ18_spl
| sQ127_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f3080,f2532,f641,f161,f237]) ).
fof(f3096,plain,
( ~ sQ40_spl
| ~ sQ18_spl
| sQ139_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f3081,f2532,f745,f161,f237]) ).
fof(f3097,definition,
! [X0] :
( sQ302_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f3100,plain,
( ~ sQ18_spl
| sQ168_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3082,f3097,f1085,f161]) ).
fof(f3101,plain,
( ~ sQ18_spl
| sQ214_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3083,f3097,f1772,f161]) ).
fof(f3102,plain,
( ~ sQ69_spl
| ~ sQ18_spl
| sQ189_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f3084,f2910,f1418,f161,f334]) ).
fof(f3103,plain,
( ~ sQ69_spl
| ~ sQ18_spl
| sQ132_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f3085,f2910,f673,f161,f334]) ).
fof(f3109,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ46_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f257,f913]) ).
fof(f3110,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ46_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f257,f914]) ).
fof(f3111,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ46_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f257,f759]) ).
fof(f3112,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ46_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f257,f758]) ).
fof(f3113,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f257,f1654]) ).
fof(f3114,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f257,f1653]) ).
fof(f3124,definition,
! [X0] :
( sQ303_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f3125,plain,
! [X0] :
( ~ sQ303_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f3124]) ).
fof(f3127,plain,
( ~ sQ73_spl
| ~ sQ46_spl
| sQ133_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f3109,f3124,f677,f256,f347]) ).
fof(f3128,plain,
( ~ sQ73_spl
| ~ sQ46_spl
| sQ148_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f3110,f3124,f813,f256,f347]) ).
fof(f3129,definition,
! [X0] :
( sQ304_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f3130,plain,
! [X0] :
( ~ sQ304_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f3129]) ).
fof(f3132,plain,
( ~ sQ99_spl
| ~ sQ46_spl
| sQ178_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3111,f3129,f1283,f256,f435]) ).
fof(f3133,plain,
( ~ sQ99_spl
| ~ sQ46_spl
| sQ130_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3112,f3129,f659,f256,f435]) ).
fof(f3134,definition,
! [X0] :
( sQ305_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f3137,plain,
( ~ sQ46_spl
| sQ144_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f3113,f3134,f781,f256]) ).
fof(f3138,plain,
( ~ sQ46_spl
| sQ168_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f3114,f3134,f1085,f256]) ).
fof(f3143,plain,
( ~ sQ294_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f2973,f69]) ).
fof(f3144,plain,
( ~ sQ46_spl
| ~ sQ222_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f1898,f257]) ).
fof(f3145,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ103_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2971,f360]) ).
fof(f3146,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2971,f454]) ).
fof(f3147,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ103_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2971,f196]) ).
fof(f3148,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ103_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2971,f278]) ).
fof(f3149,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2971,f69]) ).
fof(f3150,plain,
( ~ sQ75_spl
| ~ sQ103_spl
| sQ156_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f3145,f3025,f877,f453,f359]) ).
fof(f3151,plain,
( ~ sQ103_spl
| sQ168_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f3146,f1076,f1085,f453]) ).
fof(f3152,plain,
( ~ sQ27_spl
| ~ sQ103_spl
| sQ140_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f3147,f1466,f749,f453,f195]) ).
fof(f3153,plain,
( ~ sQ51_spl
| ~ sQ103_spl
| sQ148_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f3148,f1897,f813,f453,f277]) ).
fof(f3154,plain,
( ~ sQ103_spl
| sQ139_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f3149,f2972,f745,f453]) ).
fof(f3155,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ51_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2992,f360]) ).
fof(f3156,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ51_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2992,f454]) ).
fof(f3157,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ51_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2992,f196]) ).
fof(f3158,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2992,f278]) ).
fof(f3159,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2992,f69]) ).
fof(f3160,plain,
( ~ sQ75_spl
| ~ sQ51_spl
| sQ146_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f3155,f2225,f796,f277,f359]) ).
fof(f3161,plain,
( ~ sQ103_spl
| ~ sQ51_spl
| sQ154_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f3156,f1897,f862,f277,f453]) ).
fof(f3162,plain,
( ~ sQ27_spl
| ~ sQ51_spl
| sQ133_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f3157,f1814,f677,f277,f195]) ).
fof(f3163,definition,
! [X0] :
( sQ306_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f3166,plain,
( ~ sQ51_spl
| sQ193_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f3158,f3163,f1449,f277]) ).
fof(f3167,plain,
( ~ sQ51_spl
| sQ132_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f3159,f2995,f673,f277]) ).
fof(f3168,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ51_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2993,f360]) ).
fof(f3169,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ51_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2993,f454]) ).
fof(f3170,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ51_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2993,f196]) ).
fof(f3171,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2993,f278]) ).
fof(f3172,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2993,f69]) ).
fof(f3173,plain,
( ~ sQ75_spl
| ~ sQ51_spl
| sQ152_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f3168,f2225,f847,f277,f359]) ).
fof(f3174,plain,
( ~ sQ103_spl
| ~ sQ51_spl
| sQ130_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f3169,f1897,f659,f277,f453]) ).
fof(f3175,plain,
( ~ sQ27_spl
| ~ sQ51_spl
| sQ137_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f3170,f1814,f719,f277,f195]) ).
fof(f3176,plain,
( ~ sQ51_spl
| sQ144_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f3171,f3163,f781,f277]) ).
fof(f3177,plain,
( ~ sQ51_spl
| sQ129_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f3172,f2995,f655,f277]) ).
fof(f3178,plain,
( ~ sQ295_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f2996,f69]) ).
fof(f3179,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ27_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3009,f360]) ).
fof(f3180,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ27_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3009,f454]) ).
fof(f3181,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3009,f196]) ).
fof(f3182,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ27_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3009,f278]) ).
fof(f3183,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3009,f69]) ).
fof(f3184,definition,
! [X0] :
( sQ307_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f3185,plain,
! [X0] :
( ~ sQ307_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f3184]) ).
fof(f3187,plain,
( ~ sQ75_spl
| ~ sQ27_spl
| sQ148_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f3179,f3184,f813,f195,f359]) ).
fof(f3188,plain,
( ~ sQ103_spl
| ~ sQ27_spl
| sQ156_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f3180,f1466,f877,f195,f453]) ).
fof(f3189,definition,
! [X0] :
( sQ308_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f3192,plain,
( ~ sQ27_spl
| sQ168_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f3181,f3189,f1085,f195]) ).
fof(f3193,plain,
( ~ sQ51_spl
| ~ sQ27_spl
| sQ140_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f3182,f1814,f749,f195,f277]) ).
fof(f3194,plain,
( ~ sQ27_spl
| sQ139_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f3183,f3012,f745,f195]) ).
fof(f3195,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ27_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3010,f360]) ).
fof(f3196,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ27_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3010,f454]) ).
fof(f3197,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3010,f196]) ).
fof(f3198,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ27_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3010,f278]) ).
fof(f3199,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3010,f69]) ).
fof(f3200,plain,
( ~ sQ75_spl
| ~ sQ27_spl
| sQ154_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f3195,f3184,f862,f195,f359]) ).
fof(f3201,plain,
( ~ sQ103_spl
| ~ sQ27_spl
| sQ133_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f3196,f1466,f677,f195,f453]) ).
fof(f3202,plain,
( ~ sQ27_spl
| sQ193_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f3197,f3189,f1449,f195]) ).
fof(f3203,plain,
( ~ sQ51_spl
| ~ sQ27_spl
| sQ146_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f3198,f1814,f796,f195,f277]) ).
fof(f3204,plain,
( ~ sQ27_spl
| sQ132_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f3199,f3012,f673,f195]) ).
fof(f3205,plain,
( ~ sQ296_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f3013,f69]) ).
fof(f3206,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3023,f360]) ).
fof(f3207,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ75_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3023,f454]) ).
fof(f3208,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ75_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3023,f196]) ).
fof(f3209,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ75_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3023,f278]) ).
fof(f3210,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3023,f69]) ).
fof(f3211,definition,
! [X0] :
( sQ309_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f3214,plain,
( ~ sQ75_spl
| sQ144_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f3206,f3211,f781,f359]) ).
fof(f3215,plain,
( ~ sQ103_spl
| ~ sQ75_spl
| sQ152_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f3207,f3025,f847,f359,f453]) ).
fof(f3216,plain,
( ~ sQ27_spl
| ~ sQ75_spl
| sQ130_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f3208,f3184,f659,f359,f195]) ).
fof(f3217,plain,
( ~ sQ51_spl
| ~ sQ75_spl
| sQ137_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f3209,f2225,f719,f359,f277]) ).
fof(f3218,plain,
( ~ sQ75_spl
| sQ129_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3210,f3029,f655,f359]) ).
fof(f3219,plain,
( ~ sQ46_spl
| ~ sQ194_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1467,f257]) ).
fof(f3220,plain,
( ~ sQ298_spl
| ~ product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f3030,f69]) ).
fof(f3221,plain,
( ~ sQ46_spl
| ~ sQ297_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f3026,f257]) ).
fof(f3222,plain,
( ~ sQ18_spl
| ~ sQ300_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f3060,f162]) ).
fof(f3223,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3024,f360]) ).
fof(f3224,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ75_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3024,f454]) ).
fof(f3225,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ75_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3024,f196]) ).
fof(f3226,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ75_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3024,f278]) ).
fof(f3227,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f3024,f69]) ).
fof(f3228,plain,
( ~ sQ75_spl
| sQ150_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f3223,f3211,f832,f359]) ).
fof(f3229,plain,
( ~ sQ103_spl
| ~ sQ75_spl
| sQ127_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f3224,f3025,f641,f359,f453]) ).
fof(f3230,plain,
( ~ sQ27_spl
| ~ sQ75_spl
| sQ135_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f3225,f3184,f702,f359,f195]) ).
fof(f3231,plain,
( ~ sQ51_spl
| ~ sQ75_spl
| sQ142_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f3226,f2225,f764,f359,f277]) ).
fof(f3232,plain,
( ~ sQ75_spl
| sQ126_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3227,f3029,f637,f359]) ).
fof(f3233,plain,
( ~ sQ18_spl
| ~ sQ304_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f3130,f162]) ).
fof(f3245,plain,
( ~ sQ285_spl
| ~ sQ6_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f124,f2874]) ).
fof(f3249,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ6_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f124,f872]) ).
fof(f3250,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ6_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f124,f871]) ).
fof(f3251,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ6_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f124,f2588]) ).
fof(f3252,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ6_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f124,f2587]) ).
fof(f3253,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f124,f1971]) ).
fof(f3254,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f124,f1970]) ).
fof(f3255,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ6_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f124,f1579]) ).
fof(f3256,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ6_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f124,f1578]) ).
fof(f3264,definition,
! [X0] :
( sQ310_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f3265,plain,
! [X0] :
( ~ sQ310_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f3264]) ).
fof(f3267,plain,
( ~ sQ109_spl
| ~ sQ6_spl
| sQ178_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f3249,f3264,f1283,f123,f472]) ).
fof(f3268,plain,
( ~ sQ109_spl
| ~ sQ6_spl
| sQ126_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f3250,f3264,f637,f123,f472]) ).
fof(f3269,definition,
! [X0] :
( sQ311_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f3270,plain,
! [X0] :
( ~ sQ311_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f3269]) ).
fof(f3272,plain,
( ~ sQ55_spl
| ~ sQ6_spl
| sQ142_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3251,f3269,f764,f123,f290]) ).
fof(f3273,plain,
( ~ sQ55_spl
| ~ sQ6_spl
| sQ132_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3252,f3269,f673,f123,f290]) ).
fof(f3274,definition,
! [X0] :
( sQ312_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f3277,plain,
( ~ sQ6_spl
| sQ144_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f3253,f3274,f781,f123]) ).
fof(f3278,plain,
( ~ sQ6_spl
| sQ214_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f3254,f3274,f1772,f123]) ).
fof(f3279,plain,
( ~ sQ82_spl
| ~ sQ6_spl
| sQ146_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f3255,f2951,f796,f123,f381]) ).
fof(f3280,plain,
( ~ sQ82_spl
| ~ sQ6_spl
| sQ129_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f3256,f2951,f655,f123,f381]) ).
fof(f3283,plain,
( ~ sQ75_spl
| ~ sQ311_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f3270,f360]) ).
fof(f3284,plain,
( ~ sQ22_spl
| ~ sQ310_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f3265,f175]) ).
fof(f3287,plain,
( ~ sQ307_spl
| ~ sQ55_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f291,f3185]) ).
fof(f3288,plain,
( ~ sQ216_spl
| ~ sQ55_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f291,f1815]) ).
fof(f3290,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ55_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f291,f872]) ).
fof(f3291,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ55_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f291,f871]) ).
fof(f3292,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f291,f2588]) ).
fof(f3293,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f291,f2587]) ).
fof(f3294,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ55_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f291,f1971]) ).
fof(f3295,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ55_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f291,f1970]) ).
fof(f3296,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ55_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f291,f1579]) ).
fof(f3297,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ55_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f291,f1578]) ).
fof(f3305,definition,
! [X0] :
( sQ313_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f3306,plain,
! [X0] :
( ~ sQ313_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f3305]) ).
fof(f3308,plain,
( ~ sQ109_spl
| ~ sQ55_spl
| sQ174_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f3290,f3305,f1211,f290,f472]) ).
fof(f3309,plain,
( ~ sQ109_spl
| ~ sQ55_spl
| sQ135_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f3291,f3305,f702,f290,f472]) ).
fof(f3310,definition,
! [X0] :
( sQ314_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f3313,plain,
( ~ sQ55_spl
| sQ150_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f3292,f3310,f832,f290]) ).
fof(f3314,plain,
( ~ sQ55_spl
| sQ193_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f3293,f3310,f1449,f290]) ).
fof(f3315,plain,
( ~ sQ6_spl
| ~ sQ55_spl
| sQ152_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3294,f3269,f847,f290,f123]) ).
fof(f3316,plain,
( ~ sQ6_spl
| ~ sQ55_spl
| sQ176_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3295,f3269,f1260,f290,f123]) ).
fof(f3317,plain,
( ~ sQ82_spl
| ~ sQ55_spl
| sQ154_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f3296,f2946,f862,f290,f381]) ).
fof(f3318,plain,
( ~ sQ82_spl
| ~ sQ55_spl
| sQ137_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f3297,f2946,f719,f290,f381]) ).
fof(f3321,plain,
( ~ sQ22_spl
| ~ sQ313_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f3306,f175]) ).
fof(f3324,plain,
( ~ sQ284_spl
| ~ sQ99_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f436,f2867]) ).
fof(f3326,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ99_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f436,f913]) ).
fof(f3327,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ99_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f436,f914]) ).
fof(f3328,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f436,f759]) ).
fof(f3329,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f436,f758]) ).
fof(f3330,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ99_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f436,f1654]) ).
fof(f3331,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ99_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f436,f1653]) ).
fof(f3332,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ99_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f436,f1230]) ).
fof(f3333,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ99_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f436,f1229]) ).
fof(f3341,definition,
! [X0] :
( sQ315_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f3342,plain,
! [X0] :
( ~ sQ315_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f3341]) ).
fof(f3344,plain,
( ~ sQ73_spl
| ~ sQ99_spl
| sQ146_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f3326,f3341,f796,f435,f347]) ).
fof(f3345,plain,
( ~ sQ73_spl
| ~ sQ99_spl
| sQ139_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f3327,f3341,f745,f435,f347]) ).
fof(f3346,definition,
! [X0] :
( sQ316_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f3349,plain,
( ~ sQ99_spl
| sQ214_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f3328,f3346,f1772,f435]) ).
fof(f3350,plain,
( ~ sQ99_spl
| sQ144_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f3329,f3346,f781,f435]) ).
fof(f3351,plain,
( ~ sQ46_spl
| ~ sQ99_spl
| sQ129_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3330,f3129,f655,f435,f256]) ).
fof(f3352,plain,
( ~ sQ46_spl
| ~ sQ99_spl
| sQ148_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3331,f3129,f813,f435,f256]) ).
fof(f3353,plain,
( ~ sQ22_spl
| ~ sQ99_spl
| sQ132_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f3332,f3059,f673,f435,f174]) ).
fof(f3354,plain,
( ~ sQ22_spl
| ~ sQ99_spl
| sQ178_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f3333,f3059,f1283,f435,f174]) ).
fof(f3357,plain,
( ~ sQ18_spl
| ~ sQ315_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f3342,f162]) ).
fof(f3360,plain,
( ~ sQ303_spl
| ~ sQ39_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f234,f3125]) ).
fof(f3361,plain,
( ~ sQ299_spl
| ~ sQ39_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f234,f3055]) ).
fof(f3363,plain,
( ~ sQ158_spl
| ~ sQ39_spl
| ~ product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f234,f916]) ).
fof(f3364,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ39_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f234,f2435]) ).
fof(f3365,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ39_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f234,f2434]) ).
fof(f3366,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ39_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f234,f1063]) ).
fof(f3367,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ39_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f234,f1064]) ).
fof(f3368,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f234,f669]) ).
fof(f3369,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f234,f668]) ).
fof(f3370,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ39_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f234,f1933]) ).
fof(f3371,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ39_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f234,f1932]) ).
fof(f3379,definition,
! [X0] :
( sQ317_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f3380,plain,
! [X0] :
( ~ sQ317_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f3379]) ).
fof(f3382,plain,
( ~ sQ10_spl
| ~ sQ39_spl
| sQ126_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f3364,f3379,f637,f233,f136]) ).
fof(f3383,plain,
( ~ sQ10_spl
| ~ sQ39_spl
| sQ189_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f3365,f3379,f1418,f233,f136]) ).
fof(f3384,definition,
! [X0] :
( sQ318_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f3385,plain,
! [X0] :
( ~ sQ318_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f3384]) ).
fof(f3387,plain,
( ~ sQ88_spl
| ~ sQ39_spl
| sQ130_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f3366,f3384,f659,f233,f400]) ).
fof(f3388,plain,
( ~ sQ88_spl
| ~ sQ39_spl
| sQ139_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f3367,f3384,f745,f233,f400]) ).
fof(f3389,definition,
! [X0] :
( sQ319_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f3392,plain,
( ~ sQ39_spl
| sQ214_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f3368,f3389,f1772,f233]) ).
fof(f3393,plain,
( ~ sQ39_spl
| sQ168_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f3369,f3389,f1085,f233]) ).
fof(f3394,plain,
( ~ sQ111_spl
| ~ sQ39_spl
| sQ129_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f3370,f2873,f655,f233,f479]) ).
fof(f3395,plain,
( ~ sQ111_spl
| ~ sQ39_spl
| sQ127_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f3371,f2873,f641,f233,f479]) ).
fof(f3398,plain,
( ~ sQ6_spl
| ~ sQ317_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f3380,f124]) ).
fof(f3399,plain,
( ~ sQ6_spl
| ~ sQ318_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f3385,f124]) ).
fof(f3402,plain,
( ~ sQ207_spl
| ~ sQ40_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f238,f1716]) ).
fof(f3404,plain,
( ~ sQ166_spl
| ~ sQ40_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f238,f1066]) ).
fof(f3405,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ40_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f238,f1403]) ).
fof(f3406,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ40_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f238,f1402]) ).
fof(f3407,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f238,f2273]) ).
fof(f3408,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f238,f2272]) ).
fof(f3411,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f238,f714]) ).
fof(f3412,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ40_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f238,f713]) ).
fof(f3420,plain,
( ~ sQ117_spl
| ~ sQ40_spl
| sQ154_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f3405,f2566,f862,f237,f498]) ).
fof(f3421,plain,
( ~ sQ117_spl
| ~ sQ40_spl
| sQ127_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f3406,f2566,f641,f237,f498]) ).
fof(f3422,definition,
! [X0] :
( sQ320_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f3425,plain,
( ~ sQ40_spl
| sQ150_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f3407,f3422,f832,f237]) ).
fof(f3426,plain,
( ~ sQ40_spl
| sQ168_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f3408,f3422,f1085,f237]) ).
fof(f3429,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| sQ174_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f3411,f2905,f1211,f237,f334]) ).
fof(f3430,plain,
( ~ sQ69_spl
| ~ sQ40_spl
| sQ133_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f3412,f2905,f677,f237,f334]) ).
fof(f3435,plain,
( ~ sQ268_spl
| ~ sQ73_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f348,f2567]) ).
fof(f3437,plain,
( ~ sQ187_spl
| ~ sQ73_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f348,f1410]) ).
fof(f3438,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f348,f913]) ).
fof(f3439,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f348,f914]) ).
fof(f3440,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ73_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f348,f759]) ).
fof(f3441,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ73_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f348,f758]) ).
fof(f3442,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ73_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f348,f1654]) ).
fof(f3443,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ73_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f348,f1653]) ).
fof(f3444,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ73_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f348,f1230]) ).
fof(f3445,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ73_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f348,f1229]) ).
fof(f3453,definition,
! [X0] :
( sQ321_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f3456,plain,
( ~ sQ73_spl
| sQ193_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f3438,f3453,f1449,f347]) ).
fof(f3457,plain,
( ~ sQ73_spl
| sQ168_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f3439,f3453,f1085,f347]) ).
fof(f3458,plain,
( ~ sQ99_spl
| ~ sQ73_spl
| sQ189_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f3440,f3341,f1418,f347,f435]) ).
fof(f3459,plain,
( ~ sQ99_spl
| ~ sQ73_spl
| sQ137_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f3441,f3341,f719,f347,f435]) ).
fof(f3460,plain,
( ~ sQ46_spl
| ~ sQ73_spl
| sQ130_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f3442,f3124,f659,f347,f256]) ).
fof(f3461,plain,
( ~ sQ46_spl
| ~ sQ73_spl
| sQ140_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f3443,f3124,f749,f347,f256]) ).
fof(f3462,plain,
( ~ sQ22_spl
| ~ sQ73_spl
| sQ133_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3444,f3054,f677,f347,f174]) ).
fof(f3463,plain,
( ~ sQ22_spl
| ~ sQ73_spl
| sQ176_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3445,f3054,f1260,f347,f174]) ).
fof(f3469,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f473,f872]) ).
fof(f3470,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f473,f871]) ).
fof(f3471,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ109_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f473,f2588]) ).
fof(f3472,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ109_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f473,f2587]) ).
fof(f3473,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ109_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f473,f1971]) ).
fof(f3474,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ109_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f473,f1970]) ).
fof(f3475,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ109_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f473,f1579]) ).
fof(f3476,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ109_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f473,f1578]) ).
fof(f3484,definition,
! [X0] :
( sQ322_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f3487,plain,
( ~ sQ109_spl
| sQ214_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f3469,f3484,f1772,f472]) ).
fof(f3488,plain,
( ~ sQ109_spl
| sQ150_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f3470,f3484,f832,f472]) ).
fof(f3489,plain,
( ~ sQ55_spl
| ~ sQ109_spl
| sQ126_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f3471,f3305,f637,f472,f290]) ).
fof(f3490,plain,
( ~ sQ55_spl
| ~ sQ109_spl
| sQ154_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f3472,f3305,f862,f472,f290]) ).
fof(f3491,plain,
( ~ sQ6_spl
| ~ sQ109_spl
| sQ129_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f3473,f3264,f655,f472,f123]) ).
fof(f3492,plain,
( ~ sQ6_spl
| ~ sQ109_spl
| sQ174_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f3474,f3264,f1211,f472,f123]) ).
fof(f3493,plain,
( ~ sQ82_spl
| ~ sQ109_spl
| sQ132_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f3475,f2941,f673,f472,f381]) ).
fof(f3494,plain,
( ~ sQ82_spl
| ~ sQ109_spl
| sQ152_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f3476,f2941,f847,f472,f381]) ).
fof(f3499,plain,
( ~ sQ248_spl
| ~ sQ88_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f401,f2226]) ).
fof(f3501,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ88_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f401,f2435]) ).
fof(f3502,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ88_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f401,f2434]) ).
fof(f3503,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f401,f1063]) ).
fof(f3504,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f401,f1064]) ).
fof(f3505,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ88_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f401,f669]) ).
fof(f3506,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ88_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f401,f668]) ).
fof(f3507,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ88_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f401,f1933]) ).
fof(f3508,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ88_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f401,f1932]) ).
fof(f3516,plain,
( ~ sQ10_spl
| ~ sQ88_spl
| sQ127_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f3501,f2126,f641,f400,f136]) ).
fof(f3517,plain,
( ~ sQ10_spl
| ~ sQ88_spl
| sQ178_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f3502,f2126,f1283,f400,f136]) ).
fof(f3518,definition,
! [X0] :
( sQ323_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f3521,plain,
( ~ sQ88_spl
| sQ144_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f3503,f3518,f781,f400]) ).
fof(f3522,plain,
( ~ sQ88_spl
| sQ168_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f3504,f3518,f1085,f400]) ).
fof(f3523,plain,
( ~ sQ39_spl
| ~ sQ88_spl
| sQ189_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f3505,f3384,f1418,f400,f233]) ).
fof(f3524,plain,
( ~ sQ39_spl
| ~ sQ88_spl
| sQ148_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f3506,f3384,f813,f400,f233]) ).
fof(f3525,plain,
( ~ sQ111_spl
| ~ sQ88_spl
| sQ130_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f3507,f1715,f659,f400,f479]) ).
fof(f3526,plain,
( ~ sQ111_spl
| ~ sQ88_spl
| sQ142_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f3508,f1715,f764,f400,f479]) ).
fof(f3529,plain,
( ~ sQ40_spl
| ~ sQ238_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f2127,f238]) ).
fof(f3533,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f499,f1403]) ).
fof(f3534,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f499,f1402]) ).
fof(f3535,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ117_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f499,f2273]) ).
fof(f3536,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ117_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f499,f2272]) ).
fof(f3539,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ117_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f499,f714]) ).
fof(f3540,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ117_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f499,f713]) ).
fof(f3548,plain,
( ~ sQ117_spl
| sQ193_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f3533,f1600,f1449,f498]) ).
fof(f3549,plain,
( ~ sQ117_spl
| sQ150_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f3534,f1600,f832,f498]) ).
fof(f3550,plain,
( ~ sQ40_spl
| ~ sQ117_spl
| sQ135_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f3535,f2566,f702,f498,f237]) ).
fof(f3551,plain,
( ~ sQ40_spl
| ~ sQ117_spl
| sQ156_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f3536,f2566,f877,f498,f237]) ).
fof(f3554,plain,
( ~ sQ69_spl
| ~ sQ117_spl
| sQ176_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f3539,f2900,f1260,f498,f334]) ).
fof(f3555,plain,
( ~ sQ69_spl
| ~ sQ117_spl
| sQ154_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f3540,f2900,f862,f498,f334]) ).
fof(f3560,plain,
( ~ sQ286_spl
| ~ sQ10_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f137,f2901]) ).
fof(f3561,plain,
( ~ sQ288_spl
| ~ sQ10_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f137,f2911]) ).
fof(f3562,plain,
( ~ sQ287_spl
| ~ sQ10_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f137,f2906]) ).
fof(f3564,plain,
( ~ sQ138_spl
| ~ sQ10_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f137,f743]) ).
fof(f3565,plain,
( ~ sQ136_spl
| ~ sQ10_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f137,f716]) ).
fof(f3566,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f137,f2435]) ).
fof(f3567,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f137,f2434]) ).
fof(f3568,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ10_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f137,f1063]) ).
fof(f3569,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ10_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f137,f1064]) ).
fof(f3570,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ10_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f137,f669]) ).
fof(f3571,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ10_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f137,f668]) ).
fof(f3572,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ10_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f137,f1933]) ).
fof(f3573,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ10_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f137,f1932]) ).
fof(f3581,definition,
! [X0] :
( sQ324_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f3584,plain,
( ~ sQ10_spl
| sQ150_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f3566,f3581,f832,f136]) ).
fof(f3585,plain,
( ~ sQ10_spl
| sQ214_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f3567,f3581,f1772,f136]) ).
fof(f3586,plain,
( ~ sQ88_spl
| ~ sQ10_spl
| sQ129_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f3568,f2126,f655,f136,f400]) ).
fof(f3587,plain,
( ~ sQ88_spl
| ~ sQ10_spl
| sQ156_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f3569,f2126,f877,f136,f400]) ).
fof(f3588,plain,
( ~ sQ39_spl
| ~ sQ10_spl
| sQ174_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f3570,f3379,f1211,f136,f233]) ).
fof(f3589,plain,
( ~ sQ39_spl
| ~ sQ10_spl
| sQ139_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f3571,f3379,f745,f136,f233]) ).
fof(f3590,plain,
( ~ sQ111_spl
| ~ sQ10_spl
| sQ152_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f3572,f2866,f847,f136,f479]) ).
fof(f3591,plain,
( ~ sQ111_spl
| ~ sQ10_spl
| sQ126_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f3573,f2866,f637,f136,f479]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sQ4_spl
| ~ sQ5_spl
| sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ17_spl
| sQ18_spl
| ~ sQ20_spl
| ~ sQ21_spl
| sQ22_spl
| ~ sQ23_spl
| sQ27_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
| sQ51_spl
| sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| ~ sQ58_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
| ~ sQ78_spl
| ~ sQ80_spl
| ~ sQ81_spl
| sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| ~ sQ86_spl
| ~ sQ87_spl
| sQ88_spl
| ~ sQ90_spl
| sQ91_spl
| ~ sQ92_spl
| ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| ~ sQ96_spl
| ~ sQ97_spl
| ~ sQ98_spl
| sQ99_spl
| sQ103_spl
| ~ sQ105_spl
| ~ sQ106_spl
| ~ sQ107_spl
| ~ sQ108_spl
| sQ109_spl
| ~ sQ110_spl
| sQ111_spl
| ~ sQ112_spl
| ~ sQ113_spl
| ~ sQ114_spl
| ~ sQ115_spl
| ~ sQ116_spl
| sQ117_spl
| ~ sQ118_spl
| ~ sQ119_spl
| sQ120_spl
| ~ sQ121_spl
| ~ sQ122_spl
| ~ sQ123_spl
| ~ sQ124_spl
| sQ125_spl
| ~ sQ126_spl
| ~ sQ127_spl
| ~ sQ128_spl
| ~ sQ129_spl
| ~ sQ130_spl
| sQ131_spl
| ~ sQ132_spl
| ~ sQ133_spl
| ~ sQ134_spl
| ~ sQ135_spl
| sQ136_spl
| ~ sQ137_spl
| sQ138_spl
| ~ sQ139_spl
| ~ sQ140_spl
| sQ141_spl
| ~ sQ142_spl
| sQ144_spl
| sQ145_spl
| ~ sQ146_spl
| ~ sQ147_spl
| ~ sQ148_spl
| sQ150_spl
| ~ sQ152_spl
| ~ sQ153_spl
| ~ sQ154_spl
| sQ155_spl
| ~ sQ156_spl
| sQ158_spl
| ~ sQ159_spl
| ~ sQ164_spl
| sQ166_spl
| sQ168_spl
| sQ170_spl
| ~ sQ174_spl
| ~ sQ176_spl
| ~ sQ178_spl
| ~ sQ183_spl
| sQ184_spl
| sQ186_spl
| sQ187_spl
| ~ sQ189_spl
| sQ193_spl
| sQ194_spl
| sQ201_spl
| ~ sQ202_spl
| sQ207_spl
| sQ214_spl
| sQ216_spl
| sQ222_spl
| sQ225_spl
| ~ sQ227_spl
| sQ235_spl
| sQ238_spl
| sQ248_spl
| ~ sQ255_spl
| sQ260_spl
| sQ261_spl
| ~ sQ264_spl
| sQ266_spl
| sQ268_spl
| sQ271_spl
| ~ sQ276_spl
| sQ277_spl
| sQ281_spl
| sQ283_spl
| sQ284_spl
| sQ285_spl
| sQ286_spl
| sQ287_spl
| sQ288_spl
| sQ290_spl
| sQ291_spl
| sQ292_spl
| sQ294_spl
| sQ295_spl
| sQ296_spl
| sQ297_spl
| sQ298_spl
| sQ299_spl
| sQ300_spl
| sQ303_spl
| sQ304_spl
| sQ307_spl
| sQ310_spl
| sQ311_spl
| sQ313_spl
| sQ315_spl
| sQ317_spl
| sQ318_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP124-4.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.38 % Computer : n013.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Sun Sep 20 19:59:01 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.39 % Drodi V4.1.1
% 5.74/11.28 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 5.74/11.28 % SZS output start Saturation for theBenchmark
% See solution above
% 0.46/11.34 % Elapsed time: 0.934487 seconds
% 0.46/11.34 % CPU time: 6.748486 seconds
% 0.46/11.34 % Total memory used: 50.208 MB
% 0.46/11.34 % Net memory used: 45.469 MB
%------------------------------------------------------------------------------