%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP124-1.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 12:35:44 PM UTC 2026
% Result : Satisfiable 13.50s 2.21s
% Output : Saturation 0.99s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,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(f27,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,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(f32,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(f33,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f35,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f36,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f37,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f38,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f39,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f40,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f41,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f42,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f43,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f44,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f45,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f46,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f47,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f48,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f49,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f50,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f51,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f52,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f53,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f54,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f55,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f56,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f57,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f58,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)],[f26]) ).
fof(f59,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f66,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)],[f31]) ).
fof(f67,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)],[f66]) ).
fof(f68,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)],[f32]) ).
fof(f69,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)],[f68]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X1)
| ~ product(X3,X0,X1)
| ~ product(X3,X2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f65,f69]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X0)
| ~ product(X3,X0,X1)
| ~ product(X3,X2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f65,f67]) ).
fof(f72,plain,
! [X0,X1] :
( equalish(X1,X1)
| ~ product(X0,X1,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f70,f65]) ).
fof(f73,plain,
! [X0,X1] :
( equalish(X1,X1)
| ~ product(X0,X1,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f72]) ).
fof(f76,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f73,f65]) ).
fof(f77,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f60,f65]) ).
fof(f79,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f62,f65]) ).
fof(f81,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f64,f65]) ).
fof(f83,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)],[f58,f37]) ).
fof(f84,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)],[f58,f36]) ).
fof(f85,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)],[f58,f35]) ).
fof(f86,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)],[f58,f34]) ).
fof(f87,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)],[f58,f33]) ).
fof(f88,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)],[f83,f37]) ).
fof(f89,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)],[f83,f36]) ).
fof(f90,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)],[f83,f35]) ).
fof(f91,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)],[f83,f34]) ).
fof(f92,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)],[f83,f33]) ).
fof(f93,definition,
( sQ0_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ0_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f95,plain,
( sQ0_spl
| ~ product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,definition,
( sQ1_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( ~ sQ1_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f98,plain,
( sQ1_spl
| ~ product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,definition,
( sQ2_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( ~ sQ2_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f101,plain,
( sQ2_spl
| ~ product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,definition,
( sQ3_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f103,plain,
( ~ sQ3_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f104,plain,
( sQ3_spl
| ~ product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,definition,
( sQ4_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f88,f93,f96,f99,f102,f105]) ).
fof(f109,definition,
( sQ5_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ5_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f111,plain,
( sQ5_spl
| ~ product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,definition,
( sQ6_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( ~ sQ6_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f114,plain,
( sQ6_spl
| ~ product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,definition,
( sQ7_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f116,plain,
( ~ sQ7_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f117,plain,
( sQ7_spl
| ~ product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,definition,
( sQ8_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ8_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f120,plain,
( sQ8_spl
| ~ product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ9_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ9_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f123,plain,
( sQ9_spl
| ~ product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f89,f109,f112,f115,f118,f121]) ).
fof(f125,definition,
( sQ10_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ10_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f127,plain,
( sQ10_spl
| ~ product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,definition,
( sQ11_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( ~ sQ11_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f130,plain,
( sQ11_spl
| ~ product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f131,definition,
( sQ12_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( ~ sQ12_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f133,plain,
( sQ12_spl
| ~ product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,definition,
( sQ13_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( ~ sQ13_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f136,plain,
( sQ13_spl
| ~ product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,definition,
( sQ14_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ14_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f139,plain,
( sQ14_spl
| ~ product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f90,f125,f128,f131,f134,f137]) ).
fof(f141,definition,
( sQ15_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ15_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f143,plain,
( sQ15_spl
| ~ product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,definition,
( sQ16_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ16_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f146,plain,
( sQ16_spl
| ~ product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,definition,
( sQ17_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( ~ sQ17_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f149,plain,
( sQ17_spl
| ~ product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,definition,
( sQ18_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ18_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f152,plain,
( sQ18_spl
| ~ product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,definition,
( sQ19_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ19_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f155,plain,
( sQ19_spl
| ~ product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f91,f141,f144,f147,f150,f153]) ).
fof(f157,definition,
( sQ20_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ20_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f159,plain,
( sQ20_spl
| ~ product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,definition,
( sQ21_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( ~ sQ21_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f162,plain,
( sQ21_spl
| ~ product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,definition,
( sQ22_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( ~ sQ22_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f165,plain,
( sQ22_spl
| ~ product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,definition,
( sQ23_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ23_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f168,plain,
( sQ23_spl
| ~ product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,definition,
( sQ24_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ24_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( sQ24_spl
| ~ product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f92,f157,f160,f163,f166,f169]) ).
fof(f173,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)],[f84,f37]) ).
fof(f174,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)],[f84,f36]) ).
fof(f175,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)],[f84,f35]) ).
fof(f176,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)],[f84,f34]) ).
fof(f177,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)],[f84,f33]) ).
fof(f178,definition,
( sQ25_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ25_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f180,plain,
( sQ25_spl
| ~ product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,definition,
( sQ26_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( ~ sQ26_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f183,plain,
( sQ26_spl
| ~ product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f184,definition,
( sQ27_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( ~ sQ27_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f186,plain,
( sQ27_spl
| ~ product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,definition,
( sQ28_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ28_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f189,plain,
( sQ28_spl
| ~ product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,definition,
( sQ29_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ29_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f192,plain,
( sQ29_spl
| ~ product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f173,f178,f181,f184,f187,f190]) ).
fof(f194,definition,
( sQ30_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ30_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,definition,
( sQ31_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( ~ sQ31_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f199,plain,
( sQ31_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,definition,
( sQ32_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ32_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f202,plain,
( sQ32_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,definition,
( sQ33_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f206,definition,
( sQ34_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ34_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f208,plain,
( sQ34_spl
| ~ product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f174,f194,f197,f200,f203,f206]) ).
fof(f210,definition,
( sQ35_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ35_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f212,plain,
( sQ35_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,definition,
( sQ36_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ36_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f215,plain,
( sQ36_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,definition,
( sQ37_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ37_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f218,plain,
( sQ37_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,definition,
( sQ38_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ38_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f221,plain,
( sQ38_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,definition,
( sQ39_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ39_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f224,plain,
( sQ39_spl
| ~ product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f175,f210,f213,f216,f219,f222]) ).
fof(f226,definition,
( sQ40_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ40_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f228,plain,
( sQ40_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ41_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ41_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f231,plain,
( sQ41_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,definition,
( sQ42_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ42_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f234,plain,
( sQ42_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,definition,
( sQ43_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ43_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f237,plain,
( sQ43_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ44_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ44_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f240,plain,
( sQ44_spl
| ~ product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f176,f226,f229,f232,f235,f238]) ).
fof(f242,definition,
( sQ45_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ45_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f244,plain,
( sQ45_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,definition,
( sQ46_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ46_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f247,plain,
( sQ46_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,definition,
( sQ47_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ47_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f250,plain,
( sQ47_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,definition,
( sQ48_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( ~ sQ48_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f253,plain,
( sQ48_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,definition,
( sQ49_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ49_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( sQ49_spl
| ~ product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f177,f242,f245,f248,f251,f254]) ).
fof(f258,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)],[f85,f37]) ).
fof(f259,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)],[f85,f36]) ).
fof(f260,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)],[f85,f35]) ).
fof(f261,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)],[f85,f34]) ).
fof(f262,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)],[f85,f33]) ).
fof(f263,definition,
( sQ50_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ50_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f265,plain,
( sQ50_spl
| ~ product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,definition,
( sQ51_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ51_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f268,plain,
( sQ51_spl
| ~ product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,definition,
( sQ52_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ52_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f271,plain,
( sQ52_spl
| ~ product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,definition,
( sQ53_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ53_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( sQ53_spl
| ~ product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,definition,
( sQ54_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ54_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f277,plain,
( sQ54_spl
| ~ product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f258,f263,f266,f269,f272,f275]) ).
fof(f279,definition,
( sQ55_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ55_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( sQ55_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ56_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ56_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f284,plain,
( sQ56_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,definition,
( sQ57_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ57_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f287,plain,
( sQ57_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,definition,
( sQ58_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ58_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ59_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ59_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f293,plain,
( sQ59_spl
| ~ product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f259,f279,f282,f285,f288,f291]) ).
fof(f295,definition,
( sQ60_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ60_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,definition,
( sQ61_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ61_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,definition,
( sQ62_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f304,definition,
( sQ63_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ63_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f306,plain,
( sQ63_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,definition,
( sQ64_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ64_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f309,plain,
( sQ64_spl
| ~ product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f260,f295,f298,f301,f304,f307]) ).
fof(f311,definition,
( sQ65_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ65_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f313,plain,
( sQ65_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,definition,
( sQ66_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ66_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f316,plain,
( sQ66_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
( sQ67_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ67_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f319,plain,
( sQ67_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,definition,
( sQ68_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ68_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f322,plain,
( sQ68_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,definition,
( sQ69_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( ~ sQ69_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f325,plain,
( sQ69_spl
| ~ product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f261,f311,f314,f317,f320,f323]) ).
fof(f327,definition,
( sQ70_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ70_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f329,plain,
( sQ70_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ71_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ71_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f332,plain,
( sQ71_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,definition,
( sQ72_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( ~ sQ72_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f335,plain,
( sQ72_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
( sQ73_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ73_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f338,plain,
( sQ73_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,definition,
( sQ74_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( ~ sQ74_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f341,plain,
( sQ74_spl
| ~ product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f262,f327,f330,f333,f336,f339]) ).
fof(f343,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)],[f86,f37]) ).
fof(f344,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)],[f86,f36]) ).
fof(f345,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)],[f86,f35]) ).
fof(f346,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)],[f86,f34]) ).
fof(f347,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)],[f86,f33]) ).
fof(f348,definition,
( sQ75_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ75_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( sQ75_spl
| ~ product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,definition,
( sQ76_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ76_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f353,plain,
( sQ76_spl
| ~ product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,definition,
( sQ77_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ77_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f356,plain,
( sQ77_spl
| ~ product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,definition,
( sQ78_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ78_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f359,plain,
( sQ78_spl
| ~ product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,definition,
( sQ79_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ79_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f343,f348,f351,f354,f357,f360]) ).
fof(f364,definition,
( sQ80_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ80_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f366,plain,
( sQ80_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ81_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ81_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f369,plain,
( sQ81_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,definition,
( sQ82_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ82_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f372,plain,
( sQ82_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
( sQ83_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ83_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f375,plain,
( sQ83_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,definition,
( sQ84_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ84_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f378,plain,
( sQ84_spl
| ~ product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f344,f364,f367,f370,f373,f376]) ).
fof(f380,definition,
( sQ85_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ85_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f382,plain,
( sQ85_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ86_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ86_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f385,plain,
( sQ86_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ87_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ87_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f388,plain,
( sQ87_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,definition,
( sQ88_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ88_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f391,plain,
( sQ88_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,definition,
( sQ89_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ89_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f394,plain,
( sQ89_spl
| ~ product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f345,f380,f383,f386,f389,f392]) ).
fof(f396,definition,
( sQ90_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ90_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f398,plain,
( sQ90_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,definition,
( sQ91_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f402,definition,
( sQ92_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ92_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f404,plain,
( sQ92_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,definition,
( sQ93_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ93_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ93_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ94_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ94_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f410,plain,
( sQ94_spl
| ~ product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f346,f396,f399,f402,f405,f408]) ).
fof(f412,definition,
( sQ95_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ95_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f414,plain,
( sQ95_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,definition,
( sQ96_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( ~ sQ96_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f417,plain,
( sQ96_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,definition,
( sQ97_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ97_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f420,plain,
( sQ97_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ98_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ98_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f423,plain,
( sQ98_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ99_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ99_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f426,plain,
( sQ99_spl
| ~ product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f347,f412,f415,f418,f421,f424]) ).
fof(f428,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)],[f87,f37]) ).
fof(f429,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)],[f87,f36]) ).
fof(f430,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)],[f87,f35]) ).
fof(f431,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)],[f87,f34]) ).
fof(f432,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)],[f87,f33]) ).
fof(f433,definition,
( sQ100_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ100_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f435,plain,
( sQ100_spl
| ~ product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,definition,
( sQ101_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ101_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f438,plain,
( sQ101_spl
| ~ product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,definition,
( sQ102_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ102_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f441,plain,
( sQ102_spl
| ~ product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,definition,
( sQ103_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( ~ sQ103_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f444,plain,
( sQ103_spl
| ~ product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,definition,
( sQ104_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( ~ sQ104_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f447,plain,
( sQ104_spl
| ~ product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f428,f433,f436,f439,f442,f445]) ).
fof(f449,definition,
( sQ105_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ105_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f451,plain,
( sQ105_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ106_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ106_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f454,plain,
( sQ106_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,definition,
( sQ107_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ107_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f457,plain,
( sQ107_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,definition,
( sQ108_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ108_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f460,plain,
( sQ108_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ109_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ109_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f463,plain,
( sQ109_spl
| ~ product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f429,f449,f452,f455,f458,f461]) ).
fof(f465,definition,
( sQ110_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ110_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f467,plain,
( sQ110_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,definition,
( sQ111_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ111_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f470,plain,
( sQ111_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,definition,
( sQ112_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ112_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f473,plain,
( sQ112_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ113_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ113_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f476,plain,
( sQ113_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
( sQ114_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ114_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f479,plain,
( sQ114_spl
| ~ product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f430,f465,f468,f471,f474,f477]) ).
fof(f481,definition,
( sQ115_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ115_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f483,plain,
( sQ115_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,definition,
( sQ116_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ116_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ117_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ117_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f489,plain,
( sQ117_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ118_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ118_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f492,plain,
( sQ118_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ119_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ119_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f495,plain,
( sQ119_spl
| ~ product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f431,f481,f484,f487,f490,f493]) ).
fof(f497,definition,
( sQ120_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f500,definition,
( sQ121_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ121_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f502,plain,
( sQ121_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ122_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ122_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f505,plain,
( sQ122_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ123_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ123_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f508,plain,
( sQ123_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,definition,
( sQ124_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( ~ sQ124_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( sQ124_spl
| ~ product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f432,f497,f500,f503,f506,f509]) ).
fof(f513,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f170,f64]) ).
fof(f514,plain,
( ~ sQ24_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f170,f79]) ).
fof(f515,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f170,f62]) ).
fof(f516,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f170,f60]) ).
fof(f517,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f170,f71]) ).
fof(f518,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f170,f70]) ).
fof(f519,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f170,f69]) ).
fof(f520,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f170,f67]) ).
fof(f521,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f54]) ).
fof(f522,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f523,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f167,f64]) ).
fof(f524,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f167,f62]) ).
fof(f525,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f167,f60]) ).
fof(f526,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f71]) ).
fof(f527,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f70]) ).
fof(f528,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f167,f69]) ).
fof(f529,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f167,f67]) ).
fof(f530,definition,
! [X0] :
( sQ125_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f531,plain,
! [X0] :
( ~ sQ125_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,definition,
( sQ126_spl
<=> equalish(e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( ~ sQ126_spl
| equalish(e_4,e_5) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,plain,
( ~ sQ23_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f526,f530,f533,f166]) ).
fof(f537,definition,
( sQ127_spl
<=> equalish(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ127_spl
| equalish(e_4,e_1) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( ~ sQ23_spl
| sQ127_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f527,f530,f537,f166]) ).
fof(f541,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f538,f50]) ).
fof(f542,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f541]) ).
fof(f543,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f534,f53]) ).
fof(f544,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f543]) ).
fof(f545,plain,
( ~ sQ125_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f531,f65]) ).
fof(f546,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f164,f64]) ).
fof(f547,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f164,f62]) ).
fof(f548,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f164,f60]) ).
fof(f549,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f164,f71]) ).
fof(f550,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f164,f70]) ).
fof(f551,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f164,f69]) ).
fof(f552,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f164,f67]) ).
fof(f553,definition,
! [X0] :
( sQ128_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f554,plain,
! [X0] :
( ~ sQ128_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,definition,
( sQ129_spl
<=> equalish(e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f557,plain,
( ~ sQ129_spl
| equalish(e_3,e_5) ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,plain,
( ~ sQ22_spl
| sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f549,f553,f556,f163]) ).
fof(f560,definition,
( sQ130_spl
<=> equalish(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( ~ sQ130_spl
| equalish(e_3,e_1) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,plain,
( ~ sQ22_spl
| sQ130_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f550,f553,f560,f163]) ).
fof(f564,plain,
( ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f561,f46]) ).
fof(f565,plain,
~ sQ130_spl,
inference(contradiction_clause,[status(thm)],[f564]) ).
fof(f566,plain,
( ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f557,f49]) ).
fof(f567,plain,
~ sQ129_spl,
inference(contradiction_clause,[status(thm)],[f566]) ).
fof(f568,plain,
( ~ sQ128_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f554,f65]) ).
fof(f569,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f161,f64]) ).
fof(f570,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f161,f62]) ).
fof(f571,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f161,f60]) ).
fof(f572,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f161,f71]) ).
fof(f573,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f161,f70]) ).
fof(f574,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f161,f69]) ).
fof(f575,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f161,f67]) ).
fof(f576,definition,
! [X0] :
( sQ131_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f577,plain,
! [X0] :
( ~ sQ131_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,definition,
( sQ132_spl
<=> equalish(e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f580,plain,
( ~ sQ132_spl
| equalish(e_2,e_5) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,plain,
( ~ sQ21_spl
| sQ132_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f572,f576,f579,f160]) ).
fof(f583,definition,
( sQ133_spl
<=> equalish(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f584,plain,
( ~ sQ133_spl
| equalish(e_2,e_1) ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,plain,
( ~ sQ21_spl
| sQ133_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f573,f576,f583,f160]) ).
fof(f587,plain,
( ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f584,f42]) ).
fof(f588,plain,
~ sQ133_spl,
inference(contradiction_clause,[status(thm)],[f587]) ).
fof(f589,plain,
( ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f580,f45]) ).
fof(f590,plain,
~ sQ132_spl,
inference(contradiction_clause,[status(thm)],[f589]) ).
fof(f591,plain,
( ~ sQ131_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f577,f65]) ).
fof(f592,plain,
( ~ sQ20_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f158,f81]) ).
fof(f593,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f158,f64]) ).
fof(f594,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f158,f62]) ).
fof(f595,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f158,f60]) ).
fof(f596,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f158,f71]) ).
fof(f597,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f158,f70]) ).
fof(f598,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f158,f69]) ).
fof(f599,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f158,f67]) ).
fof(f600,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f592,f41]) ).
fof(f601,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f600]) ).
fof(f602,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f551,f65]) ).
fof(f603,definition,
( sQ134_spl
<=> equalish(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f604,plain,
( ~ sQ134_spl
| equalish(e_1,e_3) ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( ~ sQ22_spl
| sQ134_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f602,f553,f603,f163]) ).
fof(f607,plain,
( ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f604,f39]) ).
fof(f608,plain,
~ sQ134_spl,
inference(contradiction_clause,[status(thm)],[f607]) ).
fof(f609,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f574,f65]) ).
fof(f610,definition,
( sQ135_spl
<=> equalish(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ135_spl
| equalish(e_1,e_2) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( ~ sQ21_spl
| sQ135_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f609,f576,f610,f160]) ).
fof(f614,plain,
( ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f611,f38]) ).
fof(f615,plain,
~ sQ135_spl,
inference(contradiction_clause,[status(thm)],[f614]) ).
fof(f616,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f552,f65]) ).
fof(f617,definition,
( sQ136_spl
<=> equalish(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f618,plain,
( ~ sQ136_spl
| equalish(e_5,e_3) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,plain,
( ~ sQ22_spl
| sQ136_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f616,f553,f617,f163]) ).
fof(f621,plain,
( ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f618,f56]) ).
fof(f622,plain,
~ sQ136_spl,
inference(contradiction_clause,[status(thm)],[f621]) ).
fof(f623,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f575,f65]) ).
fof(f624,definition,
( sQ137_spl
<=> equalish(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f625,plain,
( ~ sQ137_spl
| equalish(e_5,e_2) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,plain,
( ~ sQ21_spl
| sQ137_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f623,f576,f624,f160]) ).
fof(f628,plain,
( ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f625,f55]) ).
fof(f629,plain,
~ sQ137_spl,
inference(contradiction_clause,[status(thm)],[f628]) ).
fof(f634,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f154,f64]) ).
fof(f635,plain,
( ~ sQ19_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f154,f79]) ).
fof(f636,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f154,f62]) ).
fof(f637,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f154,f60]) ).
fof(f638,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f154,f71]) ).
fof(f639,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f154,f70]) ).
fof(f640,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f154,f69]) ).
fof(f641,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f154,f67]) ).
fof(f642,plain,
( ~ sQ19_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f635,f624,f153]) ).
fof(f643,definition,
! [X0] :
( sQ138_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f644,plain,
! [X0] :
( ~ sQ138_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,definition,
( sQ139_spl
<=> equalish(e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f649,plain,
( ~ sQ19_spl
| sQ139_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f638,f643,f646,f153]) ).
fof(f650,plain,
( ~ sQ19_spl
| sQ137_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f639,f643,f624,f153]) ).
fof(f651,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f151,f64]) ).
fof(f652,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f151,f62]) ).
fof(f653,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f151,f60]) ).
fof(f654,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f151,f71]) ).
fof(f655,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f151,f70]) ).
fof(f656,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f151,f69]) ).
fof(f657,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f151,f67]) ).
fof(f658,definition,
! [X0] :
( sQ140_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f659,plain,
! [X0] :
( ~ sQ140_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( ~ sQ18_spl
| sQ126_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f654,f658,f533,f150]) ).
fof(f662,definition,
( sQ141_spl
<=> equalish(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( ~ sQ141_spl
| equalish(e_4,e_2) ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,plain,
( ~ sQ18_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f655,f658,f662,f150]) ).
fof(f666,plain,
( ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f663,f51]) ).
fof(f667,plain,
~ sQ141_spl,
inference(contradiction_clause,[status(thm)],[f666]) ).
fof(f668,plain,
( ~ sQ140_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f659,f65]) ).
fof(f669,plain,
( ~ sQ22_spl
| ~ sQ17_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f148,f547]) ).
fof(f670,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ17_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f148,f552]) ).
fof(f671,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ17_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f148,f551]) ).
fof(f672,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f148,f64]) ).
fof(f673,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f148,f62]) ).
fof(f674,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f148,f60]) ).
fof(f675,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f148,f71]) ).
fof(f676,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f148,f70]) ).
fof(f677,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f148,f69]) ).
fof(f678,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f148,f67]) ).
fof(f679,plain,
( ~ sQ22_spl
| ~ sQ17_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f669,f610,f147,f163]) ).
fof(f680,definition,
! [X0] :
( sQ142_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f681,plain,
! [X0] :
( ~ sQ142_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,plain,
( ~ sQ22_spl
| ~ sQ17_spl
| sQ139_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f670,f680,f646,f147,f163]) ).
fof(f684,plain,
( ~ sQ22_spl
| ~ sQ17_spl
| sQ135_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f671,f680,f610,f147,f163]) ).
fof(f685,definition,
! [X0] :
( sQ143_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f686,plain,
! [X0] :
( ~ sQ143_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,plain,
( ~ sQ17_spl
| sQ129_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f675,f685,f556,f147]) ).
fof(f689,definition,
( sQ144_spl
<=> equalish(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f690,plain,
( ~ sQ144_spl
| equalish(e_3,e_2) ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f692,plain,
( ~ sQ17_spl
| sQ144_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f676,f685,f689,f147]) ).
fof(f693,plain,
( ~ sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f690,f47]) ).
fof(f694,plain,
~ sQ144_spl,
inference(contradiction_clause,[status(thm)],[f693]) ).
fof(f695,plain,
( ~ sQ143_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f686,f65]) ).
fof(f700,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f145,f570]) ).
fof(f701,plain,
( ~ sQ131_spl
| ~ sQ16_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f145,f577]) ).
fof(f702,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ16_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f145,f575]) ).
fof(f703,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ16_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f145,f574]) ).
fof(f704,plain,
( ~ sQ16_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f145,f81]) ).
fof(f705,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f145,f64]) ).
fof(f706,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f145,f62]) ).
fof(f707,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f145,f60]) ).
fof(f708,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f145,f71]) ).
fof(f709,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f145,f70]) ).
fof(f710,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f145,f69]) ).
fof(f711,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f145,f67]) ).
fof(f712,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f700,f610,f144,f160]) ).
fof(f713,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| sQ139_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f702,f680,f646,f144,f160]) ).
fof(f714,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| sQ135_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f703,f680,f610,f144,f160]) ).
fof(f715,plain,
( ~ sQ16_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f704,f579,f144]) ).
fof(f716,definition,
! [X0] :
( sQ145_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f717,plain,
! [X0] :
( ~ sQ145_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,plain,
( ~ sQ16_spl
| sQ132_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f708,f716,f579,f144]) ).
fof(f720,definition,
( sQ146_spl
<=> equalish(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f723,plain,
( ~ sQ16_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f709,f716,f720,f144]) ).
fof(f724,plain,
( ~ sQ145_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f717,f65]) ).
fof(f725,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f142,f64]) ).
fof(f726,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f142,f62]) ).
fof(f727,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f142,f60]) ).
fof(f728,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f142,f71]) ).
fof(f729,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f142,f70]) ).
fof(f730,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f142,f69]) ).
fof(f731,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f142,f67]) ).
fof(f732,definition,
! [X0] :
( sQ147_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f733,plain,
! [X0] :
( ~ sQ147_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,definition,
( sQ148_spl
<=> equalish(e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f736,plain,
( ~ sQ148_spl
| equalish(e_1,e_5) ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,plain,
( ~ sQ15_spl
| sQ148_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f728,f732,f735,f141]) ).
fof(f739,plain,
( ~ sQ15_spl
| sQ135_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f729,f732,f610,f141]) ).
fof(f740,plain,
( ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f736,f41]) ).
fof(f741,plain,
~ sQ148_spl,
inference(contradiction_clause,[status(thm)],[f740]) ).
fof(f742,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f730,f142]) ).
fof(f743,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f730,f65]) ).
fof(f744,definition,
! [X0] :
( sQ149_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f745,plain,
! [X0] :
( ~ sQ149_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,plain,
( ~ sQ15_spl
| sQ146_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f742,f744,f720,f141]) ).
fof(f748,plain,
( ~ sQ15_spl
| sQ133_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f743,f732,f583,f141]) ).
fof(f749,plain,
! [X0] :
( ~ sQ149_spl
| ~ product(X0,e_5,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f745]) ).
fof(f750,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f731,f142]) ).
fof(f751,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f731,f65]) ).
fof(f752,plain,
( ~ sQ15_spl
| sQ139_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f750,f744,f646,f141]) ).
fof(f753,definition,
( sQ150_spl
<=> equalish(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( ~ sQ150_spl
| equalish(e_5,e_1) ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,plain,
( ~ sQ15_spl
| sQ150_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f751,f732,f753,f141]) ).
fof(f757,plain,
( ~ sQ150_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f754,f54]) ).
fof(f758,plain,
~ sQ150_spl,
inference(contradiction_clause,[status(thm)],[f757]) ).
fof(f759,plain,
( ~ sQ147_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f733,f65]) ).
fof(f763,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f138,f64]) ).
fof(f764,plain,
( ~ sQ14_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f138,f79]) ).
fof(f765,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f138,f62]) ).
fof(f766,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f138,f60]) ).
fof(f767,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f138,f71]) ).
fof(f768,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f138,f70]) ).
fof(f769,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f138,f69]) ).
fof(f770,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f138,f67]) ).
fof(f771,plain,
( ~ sQ14_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f764,f617,f137]) ).
fof(f772,definition,
! [X0] :
( sQ151_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f773,plain,
! [X0] :
( ~ sQ151_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( ~ sQ14_spl
| sQ139_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f767,f772,f646,f137]) ).
fof(f776,plain,
( ~ sQ14_spl
| sQ136_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f768,f772,f617,f137]) ).
fof(f777,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f135,f64]) ).
fof(f778,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f135,f62]) ).
fof(f779,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f135,f60]) ).
fof(f780,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f135,f71]) ).
fof(f781,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f135,f70]) ).
fof(f782,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f135,f69]) ).
fof(f783,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f135,f67]) ).
fof(f784,definition,
! [X0] :
( sQ152_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f785,plain,
! [X0] :
( ~ sQ152_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f787,plain,
( ~ sQ13_spl
| sQ126_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f780,f784,f533,f134]) ).
fof(f788,definition,
( sQ153_spl
<=> equalish(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( ~ sQ153_spl
| equalish(e_4,e_3) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,plain,
( ~ sQ13_spl
| sQ153_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f781,f784,f788,f134]) ).
fof(f792,plain,
( ~ sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f789,f52]) ).
fof(f793,plain,
~ sQ153_spl,
inference(contradiction_clause,[status(thm)],[f792]) ).
fof(f794,plain,
( ~ sQ152_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f785,f65]) ).
fof(f795,plain,
( ~ sQ128_spl
| ~ sQ12_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f132,f554]) ).
fof(f796,plain,
( ~ sQ12_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f132,f81]) ).
fof(f797,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f132,f64]) ).
fof(f798,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f132,f62]) ).
fof(f799,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f132,f60]) ).
fof(f800,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f132,f71]) ).
fof(f801,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f132,f70]) ).
fof(f802,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f132,f69]) ).
fof(f803,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f132,f67]) ).
fof(f804,plain,
( ~ sQ12_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f796,f556,f131]) ).
fof(f805,definition,
! [X0] :
( sQ154_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f806,plain,
! [X0] :
( ~ sQ154_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f805]) ).
fof(f808,plain,
( ~ sQ12_spl
| sQ129_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f800,f805,f556,f131]) ).
fof(f809,definition,
( sQ155_spl
<=> equalish(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f812,plain,
( ~ sQ12_spl
| sQ155_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f801,f805,f809,f131]) ).
fof(f813,plain,
( ~ sQ154_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f806,f65]) ).
fof(f814,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f129,f570]) ).
fof(f815,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ11_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f129,f575]) ).
fof(f816,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ11_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f129,f574]) ).
fof(f817,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f129,f64]) ).
fof(f818,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f129,f62]) ).
fof(f819,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f129,f60]) ).
fof(f820,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f129,f71]) ).
fof(f821,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f129,f70]) ).
fof(f822,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f129,f69]) ).
fof(f823,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f129,f67]) ).
fof(f824,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f814,f603,f128,f160]) ).
fof(f825,definition,
! [X0] :
( sQ156_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f826,plain,
! [X0] :
( ~ sQ156_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| sQ139_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f815,f825,f646,f128,f160]) ).
fof(f829,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| sQ134_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f816,f825,f603,f128,f160]) ).
fof(f830,definition,
! [X0] :
( sQ157_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f831,plain,
! [X0] :
( ~ sQ157_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,plain,
( ~ sQ11_spl
| sQ132_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f820,f830,f579,f128]) ).
fof(f834,definition,
( sQ158_spl
<=> equalish(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f835,plain,
( ~ sQ158_spl
| equalish(e_2,e_3) ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,plain,
( ~ sQ11_spl
| sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f821,f830,f834,f128]) ).
fof(f838,plain,
( ~ sQ158_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f835,f43]) ).
fof(f839,plain,
~ sQ158_spl,
inference(contradiction_clause,[status(thm)],[f838]) ).
fof(f840,plain,
( ~ sQ157_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f831,f65]) ).
fof(f841,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f126,f726]) ).
fof(f842,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f126,f64]) ).
fof(f843,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f126,f62]) ).
fof(f844,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f126,f60]) ).
fof(f845,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f126,f71]) ).
fof(f846,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f126,f70]) ).
fof(f847,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f126,f69]) ).
fof(f848,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f126,f67]) ).
fof(f849,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f841,f834,f125,f141]) ).
fof(f850,definition,
! [X0] :
( sQ159_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f851,plain,
! [X0] :
( ~ sQ159_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f853,plain,
( ~ sQ10_spl
| sQ148_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f845,f850,f735,f125]) ).
fof(f854,plain,
( ~ sQ10_spl
| sQ134_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f846,f850,f603,f125]) ).
fof(f855,plain,
( ~ sQ159_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f851,f65]) ).
fof(f856,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f847,f126]) ).
fof(f857,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f847,f65]) ).
fof(f858,definition,
! [X0] :
( sQ160_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f859,plain,
! [X0] :
( ~ sQ160_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f861,plain,
( ~ sQ10_spl
| sQ155_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f856,f858,f809,f125]) ).
fof(f862,plain,
( ~ sQ10_spl
| sQ130_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f857,f850,f560,f125]) ).
fof(f863,plain,
! [X0] :
( ~ sQ160_spl
| ~ product(X0,e_5,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f859]) ).
fof(f867,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f122,f64]) ).
fof(f868,plain,
( ~ sQ9_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f122,f79]) ).
fof(f869,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f122,f62]) ).
fof(f870,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f122,f60]) ).
fof(f871,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f122,f71]) ).
fof(f872,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f122,f70]) ).
fof(f873,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f122,f69]) ).
fof(f874,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f122,f67]) ).
fof(f875,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f868,f57]) ).
fof(f876,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f875]) ).
fof(f877,plain,
( ~ sQ125_spl
| ~ sQ8_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f119,f531]) ).
fof(f878,plain,
( ~ sQ8_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f119,f81]) ).
fof(f879,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f119,f64]) ).
fof(f880,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f119,f62]) ).
fof(f881,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f119,f60]) ).
fof(f882,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f119,f71]) ).
fof(f883,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f119,f70]) ).
fof(f884,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f119,f69]) ).
fof(f885,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f119,f67]) ).
fof(f886,plain,
( ~ sQ8_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f878,f533,f118]) ).
fof(f887,definition,
! [X0] :
( sQ161_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f888,plain,
! [X0] :
( ~ sQ161_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f887]) ).
fof(f890,plain,
( ~ sQ8_spl
| sQ126_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f882,f887,f533,f118]) ).
fof(f891,definition,
( sQ162_spl
<=> equalish(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f894,plain,
( ~ sQ8_spl
| sQ162_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f883,f887,f891,f118]) ).
fof(f895,plain,
( ~ sQ161_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f888,f65]) ).
fof(f896,plain,
( ~ sQ17_spl
| ~ sQ7_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f116,f673]) ).
fof(f897,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f116,f64]) ).
fof(f898,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f116,f62]) ).
fof(f899,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f116,f60]) ).
fof(f900,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f116,f71]) ).
fof(f901,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f116,f70]) ).
fof(f902,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f116,f69]) ).
fof(f903,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f116,f67]) ).
fof(f904,plain,
( ~ sQ17_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f896,f44]) ).
fof(f905,plain,
( ~ sQ17_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f904]) ).
fof(f906,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f113,f570]) ).
fof(f907,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ6_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f113,f575]) ).
fof(f908,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ6_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f113,f574]) ).
fof(f909,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f113,f64]) ).
fof(f910,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f113,f62]) ).
fof(f911,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f113,f60]) ).
fof(f912,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f113,f71]) ).
fof(f913,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f113,f70]) ).
fof(f914,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f113,f69]) ).
fof(f915,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f113,f67]) ).
fof(f916,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f906,f40]) ).
fof(f917,plain,
( ~ sQ21_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f916]) ).
fof(f918,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f110,f843]) ).
fof(f919,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f110,f64]) ).
fof(f920,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f110,f62]) ).
fof(f921,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f110,f60]) ).
fof(f922,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f110,f71]) ).
fof(f923,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f110,f70]) ).
fof(f924,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f110,f69]) ).
fof(f925,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f110,f67]) ).
fof(f926,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f918,f48]) ).
fof(f927,plain,
( ~ sQ10_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f926]) ).
fof(f928,definition,
! [X0] :
( sQ163_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f929,plain,
! [X0] :
( ~ sQ163_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,plain,
( ~ sQ5_spl
| sQ148_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f922,f928,f735,f109]) ).
fof(f932,definition,
( sQ164_spl
<=> equalish(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f933,plain,
( ~ sQ164_spl
| equalish(e_1,e_4) ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f935,plain,
( ~ sQ5_spl
| sQ164_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f923,f928,f932,f109]) ).
fof(f936,plain,
( ~ sQ164_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f933,f40]) ).
fof(f937,plain,
~ sQ164_spl,
inference(contradiction_clause,[status(thm)],[f936]) ).
fof(f938,plain,
( ~ sQ163_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f929,f65]) ).
fof(f939,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f924,f110]) ).
fof(f940,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f924,f65]) ).
fof(f941,definition,
! [X0] :
( sQ165_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f942,plain,
! [X0] :
( ~ sQ165_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f944,plain,
( ~ sQ5_spl
| sQ162_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f939,f941,f891,f109]) ).
fof(f945,plain,
( ~ sQ5_spl
| sQ127_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f940,f928,f537,f109]) ).
fof(f946,plain,
! [X0] :
( ~ sQ165_spl
| ~ product(X0,e_5,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f942]) ).
fof(f947,definition,
! [X0] :
( sQ166_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f948,plain,
! [X0] :
( ~ sQ166_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f947]) ).
fof(f950,plain,
( ~ sQ6_spl
| sQ132_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f912,f947,f579,f112]) ).
fof(f951,definition,
( sQ167_spl
<=> equalish(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f952,plain,
( ~ sQ167_spl
| equalish(e_2,e_4) ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f954,plain,
( ~ sQ6_spl
| sQ167_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f913,f947,f951,f112]) ).
fof(f955,plain,
( ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f952,f44]) ).
fof(f956,plain,
~ sQ167_spl,
inference(contradiction_clause,[status(thm)],[f955]) ).
fof(f961,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f255,f64]) ).
fof(f962,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f255,f62]) ).
fof(f963,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f255,f60]) ).
fof(f964,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f255,f71]) ).
fof(f965,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f255,f70]) ).
fof(f966,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f255,f69]) ).
fof(f967,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f255,f67]) ).
fof(f968,definition,
! [X0] :
( sQ168_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f969,plain,
! [X0] :
( ~ sQ168_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f968]) ).
fof(f971,definition,
( sQ169_spl
<=> equalish(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( ~ sQ169_spl
| equalish(e_5,e_4) ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f974,plain,
( ~ sQ49_spl
| sQ169_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f964,f968,f971,f254]) ).
fof(f975,plain,
( ~ sQ49_spl
| sQ150_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f965,f968,f753,f254]) ).
fof(f976,plain,
( ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f972,f57]) ).
fof(f977,plain,
~ sQ169_spl,
inference(contradiction_clause,[status(thm)],[f976]) ).
fof(f978,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f252,f64]) ).
fof(f979,plain,
( ~ sQ48_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f252,f79]) ).
fof(f980,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f252,f62]) ).
fof(f981,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f252,f60]) ).
fof(f982,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f252,f71]) ).
fof(f983,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f252,f70]) ).
fof(f984,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f252,f69]) ).
fof(f985,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f252,f67]) ).
fof(f986,plain,
( ~ sQ48_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f979,f537,f251]) ).
fof(f987,definition,
! [X0] :
( sQ170_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f988,plain,
! [X0] :
( ~ sQ170_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f990,plain,
( ~ sQ48_spl
| sQ162_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f982,f987,f891,f251]) ).
fof(f991,plain,
( ~ sQ48_spl
| sQ127_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f983,f987,f537,f251]) ).
fof(f992,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f249,f546]) ).
fof(f993,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ47_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f249,f552]) ).
fof(f994,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ47_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f249,f551]) ).
fof(f995,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f249,f64]) ).
fof(f996,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f249,f62]) ).
fof(f997,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f249,f60]) ).
fof(f998,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f249,f71]) ).
fof(f999,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f249,f70]) ).
fof(f1000,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f249,f69]) ).
fof(f1001,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f249,f67]) ).
fof(f1002,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f992,f971,f248,f163]) ).
fof(f1003,definition,
! [X0] :
( sQ171_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ171_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1003]) ).
fof(f1006,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| sQ169_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f993,f1003,f971,f248,f163]) ).
fof(f1007,definition,
( sQ172_spl
<=> equalish(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1010,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| sQ172_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f994,f1003,f1007,f248,f163]) ).
fof(f1011,definition,
! [X0] :
( sQ173_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1012,plain,
! [X0] :
( ~ sQ173_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1011]) ).
fof(f1014,definition,
( sQ174_spl
<=> equalish(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1015,plain,
( ~ sQ174_spl
| equalish(e_3,e_4) ),
inference(component_clause,[status(thm)],[f1014]) ).
fof(f1017,plain,
( ~ sQ47_spl
| sQ174_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f998,f1011,f1014,f248]) ).
fof(f1018,plain,
( ~ sQ47_spl
| sQ130_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f999,f1011,f560,f248]) ).
fof(f1019,plain,
( ~ sQ174_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1015,f48]) ).
fof(f1020,plain,
~ sQ174_spl,
inference(contradiction_clause,[status(thm)],[f1019]) ).
fof(f1021,plain,
( ~ sQ173_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f1012,f65]) ).
fof(f1022,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f246,f64]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f246,f62]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f246,f60]) ).
fof(f1025,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f246,f71]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f246,f70]) ).
fof(f1027,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f246,f69]) ).
fof(f1028,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f246,f67]) ).
fof(f1029,definition,
! [X0] :
( sQ175_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
! [X0] :
( ~ sQ175_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1029]) ).
fof(f1032,plain,
( ~ sQ46_spl
| sQ167_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1025,f1029,f951,f245]) ).
fof(f1033,plain,
( ~ sQ46_spl
| sQ133_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1026,f1029,f583,f245]) ).
fof(f1034,plain,
( ~ sQ175_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1030,f65]) ).
fof(f1035,plain,
( ~ sQ45_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f243,f81]) ).
fof(f1036,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f243,f64]) ).
fof(f1037,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f243,f62]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f243,f60]) ).
fof(f1039,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f243,f71]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f243,f70]) ).
fof(f1041,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f243,f69]) ).
fof(f1042,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f243,f67]) ).
fof(f1043,plain,
( ~ sQ45_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1035,f932,f242]) ).
fof(f1044,definition,
! [X0] :
( sQ176_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1045,plain,
! [X0] :
( ~ sQ176_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1044]) ).
fof(f1047,plain,
( ~ sQ45_spl
| sQ164_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1039,f1044,f932,f242]) ).
fof(f1048,plain,
( ~ sQ45_spl
| sQ172_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1040,f1044,f1007,f242]) ).
fof(f1049,plain,
( ~ sQ176_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f1045,f65]) ).
fof(f1050,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1027,f65]) ).
fof(f1051,plain,
( ~ sQ46_spl
| sQ135_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1050,f1029,f610,f245]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1028,f65]) ).
fof(f1053,plain,
( ~ sQ46_spl
| sQ141_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1052,f1029,f662,f245]) ).
fof(f1054,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f239,f64]) ).
fof(f1055,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f239,f62]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f239,f60]) ).
fof(f1057,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f239,f71]) ).
fof(f1058,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f239,f70]) ).
fof(f1059,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f239,f69]) ).
fof(f1060,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f239,f67]) ).
fof(f1061,definition,
! [X0] :
( sQ177_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ177_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1061]) ).
fof(f1064,plain,
( ~ sQ44_spl
| sQ169_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1057,f1061,f971,f238]) ).
fof(f1065,plain,
( ~ sQ44_spl
| sQ137_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1058,f1061,f624,f238]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f236,f64]) ).
fof(f1067,plain,
( ~ sQ43_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f236,f79]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f236,f62]) ).
fof(f1069,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f236,f60]) ).
fof(f1070,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f236,f71]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f236,f70]) ).
fof(f1072,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f236,f69]) ).
fof(f1073,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f236,f67]) ).
fof(f1074,plain,
( ~ sQ43_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1067,f662,f235]) ).
fof(f1075,definition,
! [X0] :
( sQ178_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ178_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1078,plain,
( ~ sQ43_spl
| sQ162_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1070,f1075,f891,f235]) ).
fof(f1079,plain,
( ~ sQ43_spl
| sQ141_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1071,f1075,f662,f235]) ).
fof(f1080,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ42_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f233,f552]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ42_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f233,f551]) ).
fof(f1082,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f233,f64]) ).
fof(f1083,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f233,f62]) ).
fof(f1084,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f233,f60]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f71]) ).
fof(f1086,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f70]) ).
fof(f1087,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f233,f69]) ).
fof(f1088,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f233,f67]) ).
fof(f1089,definition,
! [X0] :
( sQ179_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1090,plain,
! [X0] :
( ~ sQ179_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1089]) ).
fof(f1092,plain,
( ~ sQ22_spl
| ~ sQ42_spl
| sQ169_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1080,f1089,f971,f232,f163]) ).
fof(f1093,plain,
( ~ sQ22_spl
| ~ sQ42_spl
| sQ135_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1081,f1089,f610,f232,f163]) ).
fof(f1094,definition,
! [X0] :
( sQ180_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ180_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1094]) ).
fof(f1097,plain,
( ~ sQ42_spl
| sQ174_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1085,f1094,f1014,f232]) ).
fof(f1098,plain,
( ~ sQ42_spl
| sQ144_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1086,f1094,f689,f232]) ).
fof(f1099,plain,
( ~ sQ46_spl
| ~ sQ41_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f230,f1023]) ).
fof(f1100,plain,
( ~ sQ175_spl
| ~ sQ41_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f230,f1030]) ).
fof(f1101,plain,
( ~ sQ131_spl
| ~ sQ41_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f230,f577]) ).
fof(f1102,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ41_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f230,f1028]) ).
fof(f1103,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ41_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f230,f1027]) ).
fof(f1104,plain,
( ~ sQ41_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f230,f81]) ).
fof(f1105,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f230,f64]) ).
fof(f1106,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f230,f62]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f230,f60]) ).
fof(f1108,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f230,f71]) ).
fof(f1109,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f230,f70]) ).
fof(f1110,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f230,f69]) ).
fof(f1111,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f230,f67]) ).
fof(f1112,plain,
( ~ sQ46_spl
| ~ sQ41_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1099,f610,f229,f245]) ).
fof(f1113,definition,
! [X0] :
( sQ181_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ181_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1116,plain,
( ~ sQ46_spl
| ~ sQ41_spl
| sQ162_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1102,f1113,f891,f229,f245]) ).
fof(f1117,plain,
( ~ sQ46_spl
| ~ sQ41_spl
| sQ135_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1103,f1113,f610,f229,f245]) ).
fof(f1118,plain,
( ~ sQ41_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1104,f951,f229]) ).
fof(f1119,definition,
! [X0] :
( sQ182_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ182_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1119]) ).
fof(f1122,plain,
( ~ sQ41_spl
| sQ167_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1108,f1119,f951,f229]) ).
fof(f1123,plain,
( ~ sQ41_spl
| sQ146_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1109,f1119,f720,f229]) ).
fof(f1124,plain,
( ~ sQ15_spl
| ~ sQ40_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f227,f725]) ).
fof(f1125,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f227,f64]) ).
fof(f1126,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f227,f62]) ).
fof(f1127,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f227,f60]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f227,f71]) ).
fof(f1129,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f227,f70]) ).
fof(f1130,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f227,f69]) ).
fof(f1131,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f227,f67]) ).
fof(f1132,plain,
( ~ sQ15_spl
| ~ sQ40_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1124,f971,f226,f141]) ).
fof(f1133,definition,
! [X0] :
( sQ183_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ183_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1133]) ).
fof(f1136,plain,
( ~ sQ40_spl
| sQ164_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1128,f1133,f932,f226]) ).
fof(f1137,plain,
( ~ sQ40_spl
| sQ135_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1129,f1133,f610,f226]) ).
fof(f1138,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f223,f64]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f223,f62]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f223,f60]) ).
fof(f1141,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f223,f71]) ).
fof(f1142,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f223,f70]) ).
fof(f1143,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f223,f69]) ).
fof(f1144,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f223,f67]) ).
fof(f1145,definition,
! [X0] :
( sQ184_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1146,plain,
! [X0] :
( ~ sQ184_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1148,plain,
( ~ sQ39_spl
| sQ169_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1141,f1145,f971,f222]) ).
fof(f1149,plain,
( ~ sQ39_spl
| sQ136_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1142,f1145,f617,f222]) ).
fof(f1150,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f220,f64]) ).
fof(f1151,plain,
( ~ sQ38_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f220,f79]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f220,f62]) ).
fof(f1153,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f220,f60]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f220,f71]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f220,f70]) ).
fof(f1156,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f220,f69]) ).
fof(f1157,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f220,f67]) ).
fof(f1158,plain,
( ~ sQ38_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1151,f788,f219]) ).
fof(f1159,definition,
! [X0] :
( sQ185_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1160,plain,
! [X0] :
( ~ sQ185_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1159]) ).
fof(f1162,plain,
( ~ sQ38_spl
| sQ162_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1154,f1159,f891,f219]) ).
fof(f1163,plain,
( ~ sQ38_spl
| sQ153_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1155,f1159,f788,f219]) ).
fof(f1164,plain,
( ~ sQ173_spl
| ~ sQ37_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f217,f1012]) ).
fof(f1165,plain,
( ~ sQ128_spl
| ~ sQ37_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f217,f554]) ).
fof(f1166,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ37_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f217,f552]) ).
fof(f1167,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ37_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f217,f551]) ).
fof(f1168,plain,
( ~ sQ37_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f217,f81]) ).
fof(f1169,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f217,f64]) ).
fof(f1170,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f217,f62]) ).
fof(f1171,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f217,f60]) ).
fof(f1172,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f217,f71]) ).
fof(f1173,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f217,f70]) ).
fof(f1174,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f217,f69]) ).
fof(f1175,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f217,f67]) ).
fof(f1176,definition,
! [X0] :
( sQ186_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1177,plain,
! [X0] :
( ~ sQ186_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1176]) ).
fof(f1179,plain,
( ~ sQ22_spl
| ~ sQ37_spl
| sQ169_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1166,f1176,f971,f216,f163]) ).
fof(f1180,plain,
( ~ sQ22_spl
| ~ sQ37_spl
| sQ134_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1167,f1176,f603,f216,f163]) ).
fof(f1181,plain,
( ~ sQ37_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1168,f1014,f216]) ).
fof(f1182,definition,
! [X0] :
( sQ187_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ187_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1182]) ).
fof(f1185,plain,
( ~ sQ37_spl
| sQ174_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1172,f1182,f1014,f216]) ).
fof(f1186,plain,
( ~ sQ37_spl
| sQ155_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1173,f1182,f809,f216]) ).
fof(f1187,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f214,f1023]) ).
fof(f1188,plain,
( ~ sQ11_spl
| ~ sQ36_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f214,f817]) ).
fof(f1189,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ36_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f214,f1028]) ).
fof(f1190,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ36_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f214,f1027]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f214,f64]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f214,f62]) ).
fof(f1193,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f214,f60]) ).
fof(f1194,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f214,f71]) ).
fof(f1195,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f214,f70]) ).
fof(f1196,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f214,f69]) ).
fof(f1197,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f214,f67]) ).
fof(f1198,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1187,f603,f213,f245]) ).
fof(f1199,plain,
( ~ sQ11_spl
| ~ sQ36_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1188,f971,f213,f128]) ).
fof(f1200,definition,
! [X0] :
( sQ188_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ188_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1203,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| sQ162_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1189,f1200,f891,f213,f245]) ).
fof(f1204,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| sQ134_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1190,f1200,f603,f213,f245]) ).
fof(f1205,definition,
! [X0] :
( sQ189_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ189_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1205]) ).
fof(f1208,plain,
( ~ sQ36_spl
| sQ167_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1194,f1205,f951,f213]) ).
fof(f1209,plain,
( ~ sQ36_spl
| sQ158_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1195,f1205,f834,f213]) ).
fof(f1210,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f211,f64]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f211,f62]) ).
fof(f1212,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f211,f60]) ).
fof(f1213,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f211,f71]) ).
fof(f1214,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f211,f70]) ).
fof(f1215,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f211,f69]) ).
fof(f1216,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f211,f67]) ).
fof(f1217,definition,
! [X0] :
( sQ190_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1218,plain,
! [X0] :
( ~ sQ190_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1217]) ).
fof(f1220,plain,
( ~ sQ35_spl
| sQ164_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1213,f1217,f932,f210]) ).
fof(f1221,plain,
( ~ sQ35_spl
| sQ134_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1214,f1217,f603,f210]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f207,f64]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f207,f62]) ).
fof(f1224,plain,
( ~ sQ34_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f207,f77]) ).
fof(f1225,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f207,f60]) ).
fof(f1226,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f207,f71]) ).
fof(f1228,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f207,f69]) ).
fof(f1229,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f207,f67]) ).
fof(f1230,plain,
( ~ sQ34_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f1224,f533,f206]) ).
fof(f1231,definition,
! [X0] :
( sQ191_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1232,plain,
! [X0] :
( ~ sQ191_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1231]) ).
fof(f1234,plain,
( ~ sQ34_spl
| sQ169_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1226,f1231,f971,f206]) ).
fof(f1236,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f201,f552]) ).
fof(f1237,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f201,f551]) ).
fof(f1238,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f201,f64]) ).
fof(f1239,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f201,f62]) ).
fof(f1240,plain,
( ~ sQ32_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f201,f77]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f201,f60]) ).
fof(f1242,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f201,f71]) ).
fof(f1244,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f201,f69]) ).
fof(f1245,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f201,f67]) ).
fof(f1246,plain,
( ~ sQ22_spl
| ~ sQ32_spl
| sQ169_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1236,f530,f971,f200,f163]) ).
fof(f1247,plain,
( ~ sQ22_spl
| ~ sQ32_spl
| sQ164_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1237,f530,f932,f200,f163]) ).
fof(f1248,plain,
( ~ sQ32_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1240,f788,f200]) ).
fof(f1249,definition,
! [X0] :
( sQ192_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1250,plain,
! [X0] :
( ~ sQ192_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1249]) ).
fof(f1252,plain,
( ~ sQ32_spl
| sQ174_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1242,f1249,f1014,f200]) ).
fof(f1254,plain,
( ~ sQ46_spl
| ~ sQ31_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f198,f1023]) ).
fof(f1255,plain,
( ~ sQ177_spl
| ~ sQ31_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f198,f1062]) ).
fof(f1256,plain,
( ~ sQ6_spl
| ~ sQ31_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f198,f909]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ31_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f198,f1028]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ31_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f198,f1027]) ).
fof(f1259,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f198,f64]) ).
fof(f1260,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f198,f62]) ).
fof(f1261,plain,
( ~ sQ31_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f198,f77]) ).
fof(f1262,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f198,f60]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f198,f71]) ).
fof(f1265,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f198,f69]) ).
fof(f1266,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f198,f67]) ).
fof(f1267,plain,
( ~ sQ46_spl
| ~ sQ31_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1254,f932,f197,f245]) ).
fof(f1268,plain,
( ~ sQ6_spl
| ~ sQ31_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1256,f971,f197,f112]) ).
fof(f1269,plain,
( ~ sQ46_spl
| ~ sQ31_spl
| sQ162_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1257,f987,f891,f197,f245]) ).
fof(f1270,plain,
( ~ sQ46_spl
| ~ sQ31_spl
| sQ164_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1258,f987,f932,f197,f245]) ).
fof(f1271,plain,
( ~ sQ31_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1261,f662,f197]) ).
fof(f1272,definition,
! [X0] :
( sQ193_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1273,plain,
! [X0] :
( ~ sQ193_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1272]) ).
fof(f1275,plain,
( ~ sQ31_spl
| sQ167_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1263,f1272,f951,f197]) ).
fof(f1277,plain,
( ~ sQ171_spl
| ~ sQ30_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f195,f1004]) ).
fof(f1278,plain,
( ~ sQ170_spl
| ~ sQ30_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f195,f988]) ).
fof(f1279,plain,
( ~ sQ168_spl
| ~ sQ30_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f195,f969]) ).
fof(f1280,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f195,f64]) ).
fof(f1281,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f195,f62]) ).
fof(f1282,plain,
( ~ sQ30_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f195,f77]) ).
fof(f1283,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f195,f60]) ).
fof(f1284,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f195,f71]) ).
fof(f1285,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f195,f70]) ).
fof(f1286,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f195,f69]) ).
fof(f1287,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f195,f67]) ).
fof(f1288,plain,
( ~ sQ170_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1278,f65]) ).
fof(f1289,plain,
( ~ sQ170_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1288]) ).
fof(f1290,plain,
( ~ sQ29_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f191,f81]) ).
fof(f1291,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f191,f64]) ).
fof(f1292,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f191,f62]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_5,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f191,f60]) ).
fof(f1294,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f191,f71]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f191,f70]) ).
fof(f1296,plain,
! [X0,X1,X2] :
( ~ sQ29_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f191,f69]) ).
fof(f1297,plain,
! [X0,X1,X2] :
( ~ sQ29_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f191,f67]) ).
fof(f1298,plain,
( ~ sQ29_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f1290,f971,f190]) ).
fof(f1299,definition,
! [X0] :
( sQ194_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1300,plain,
! [X0] :
( ~ sQ194_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1299]) ).
fof(f1302,plain,
( ~ sQ29_spl
| sQ169_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1294,f1299,f971,f190]) ).
fof(f1303,plain,
( ~ sQ29_spl
| sQ139_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1295,f1299,f646,f190]) ).
fof(f1304,plain,
( ~ sQ28_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f188,f946]) ).
fof(f1305,plain,
( ~ sQ28_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f1304]) ).
fof(f1306,plain,
( ~ sQ27_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f185,f863]) ).
fof(f1307,plain,
( ~ sQ27_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f1306]) ).
fof(f1308,plain,
( ~ sQ180_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1095,f65]) ).
fof(f1309,plain,
( ~ sQ182_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f1120,f65]) ).
fof(f1310,plain,
( ~ sQ183_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1134,f65]) ).
fof(f1311,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1087,f65]) ).
fof(f1312,plain,
( ~ sQ42_spl
| sQ158_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1311,f1094,f834,f232]) ).
fof(f1313,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1088,f65]) ).
fof(f1314,plain,
( ~ sQ42_spl
| sQ153_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1313,f1094,f788,f232]) ).
fof(f1315,plain,
( ~ sQ187_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1183,f65]) ).
fof(f1316,plain,
( ~ sQ189_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1206,f65]) ).
fof(f1317,plain,
( ~ sQ190_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1218,f65]) ).
fof(f1318,plain,
( ~ sQ191_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f1232,f65]) ).
fof(f1319,plain,
( ~ sQ192_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f1250,f65]) ).
fof(f1320,plain,
( ~ sQ193_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f1273,f65]) ).
fof(f1321,plain,
( ~ sQ166_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f948,f65]) ).
fof(f1328,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1215,f211]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1215,f65]) ).
fof(f1330,definition,
! [X0] :
( sQ195_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ195_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1330]) ).
fof(f1333,plain,
( ~ sQ35_spl
| sQ155_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1328,f1330,f809,f210]) ).
fof(f1334,plain,
( ~ sQ35_spl
| sQ130_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1329,f1217,f560,f210]) ).
fof(f1335,plain,
! [X0] :
( ~ sQ195_spl
| ~ product(X0,e_4,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f1331]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f915,f65]) ).
fof(f1337,plain,
( ~ sQ6_spl
| sQ137_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f1336,f947,f624,f112]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f914,f65]) ).
fof(f1339,plain,
( ~ sQ6_spl
| sQ141_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f1338,f947,f662,f112]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f823,f65]) ).
fof(f1341,plain,
( ~ sQ11_spl
| sQ137_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1340,f830,f624,f128]) ).
fof(f1342,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f822,f65]) ).
fof(f1343,plain,
( ~ sQ11_spl
| sQ144_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1342,f830,f689,f128]) ).
fof(f1347,plain,
( ~ sQ26_spl
| ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f182,f749]) ).
fof(f1348,plain,
( ~ sQ26_spl
| ~ sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f1347]) ).
fof(f1350,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ15_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f731,f211]) ).
fof(f1352,definition,
! [X0] :
( sQ196_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1353,plain,
! [X0] :
( ~ sQ196_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1355,plain,
( ~ sQ35_spl
| ~ sQ15_spl
| sQ169_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1350,f1352,f971,f141,f210]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ40_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1130,f211]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1130,f65]) ).
fof(f1362,definition,
! [X0] :
( sQ197_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ197_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1362]) ).
fof(f1365,plain,
( ~ sQ35_spl
| ~ sQ40_spl
| sQ158_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1360,f1362,f834,f226,f210]) ).
fof(f1366,plain,
( ~ sQ40_spl
| sQ133_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1361,f1133,f583,f226]) ).
fof(f1367,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f656,f65]) ).
fof(f1368,plain,
( ~ sQ18_spl
| sQ167_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1367,f658,f951,f150]) ).
fof(f1369,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f657,f65]) ).
fof(f1370,plain,
( ~ sQ18_spl
| sQ169_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1369,f658,f971,f150]) ).
fof(f1375,plain,
( ~ sQ25_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f179,f545]) ).
fof(f1376,plain,
( ~ sQ25_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f1375]) ).
fof(f1377,plain,
( ~ sQ26_spl
| ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f182,f668]) ).
fof(f1378,plain,
( ~ sQ26_spl
| ~ sQ140_spl ),
inference(contradiction_clause,[status(thm)],[f1377]) ).
fof(f1379,plain,
( ~ sQ27_spl
| ~ sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f185,f794]) ).
fof(f1380,plain,
( ~ sQ27_spl
| ~ sQ152_spl ),
inference(contradiction_clause,[status(thm)],[f1379]) ).
fof(f1381,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f340,f64]) ).
fof(f1382,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f340,f62]) ).
fof(f1383,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f340,f60]) ).
fof(f1384,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f340,f71]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f340,f70]) ).
fof(f1386,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f340,f69]) ).
fof(f1387,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f340,f67]) ).
fof(f1388,definition,
! [X0] :
( sQ198_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1389,plain,
! [X0] :
( ~ sQ198_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1388]) ).
fof(f1391,plain,
( ~ sQ74_spl
| sQ136_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1384,f1388,f617,f339]) ).
fof(f1392,plain,
( ~ sQ74_spl
| sQ150_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1385,f1388,f753,f339]) ).
fof(f1393,plain,
( ~ sQ35_spl
| ~ sQ198_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f1389,f211]) ).
fof(f1394,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ73_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f337,f657]) ).
fof(f1395,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ73_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f337,f656]) ).
fof(f1396,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f337,f64]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f337,f62]) ).
fof(f1398,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f337,f60]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f337,f71]) ).
fof(f1400,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f337,f70]) ).
fof(f1401,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f337,f69]) ).
fof(f1402,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f337,f67]) ).
fof(f1403,definition,
! [X0] :
( sQ199_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ199_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1403]) ).
fof(f1406,plain,
( ~ sQ18_spl
| ~ sQ73_spl
| sQ136_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1394,f1403,f617,f336,f150]) ).
fof(f1407,plain,
( ~ sQ18_spl
| ~ sQ73_spl
| sQ133_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1395,f1403,f583,f336,f150]) ).
fof(f1408,definition,
! [X0] :
( sQ200_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1409,plain,
! [X0] :
( ~ sQ200_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1408]) ).
fof(f1411,plain,
( ~ sQ73_spl
| sQ153_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1399,f1408,f788,f336]) ).
fof(f1412,plain,
( ~ sQ73_spl
| sQ127_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1400,f1408,f537,f336]) ).
fof(f1413,plain,
( ~ sQ35_spl
| ~ sQ200_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f1409,f211]) ).
fof(f1414,plain,
( ~ sQ35_spl
| ~ sQ200_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1413,f65]) ).
fof(f1415,plain,
( ~ sQ35_spl
| ~ sQ200_spl ),
inference(contradiction_clause,[status(thm)],[f1414]) ).
fof(f1416,plain,
( ~ sQ35_spl
| ~ sQ199_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1404,f211]) ).
fof(f1417,plain,
( ~ sQ22_spl
| ~ sQ72_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f334,f546]) ).
fof(f1418,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ72_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f334,f1088]) ).
fof(f1419,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ72_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f334,f1087]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ72_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f334,f552]) ).
fof(f1421,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ72_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f334,f551]) ).
fof(f1422,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f334,f64]) ).
fof(f1423,plain,
( ~ sQ72_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f334,f79]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f334,f62]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f334,f60]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f334,f71]) ).
fof(f1427,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f334,f70]) ).
fof(f1428,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f334,f69]) ).
fof(f1429,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f334,f67]) ).
fof(f1430,plain,
( ~ sQ22_spl
| ~ sQ72_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1417,f617,f333,f163]) ).
fof(f1431,definition,
! [X0] :
( sQ201_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1432,plain,
! [X0] :
( ~ sQ201_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1431]) ).
fof(f1434,plain,
( ~ sQ42_spl
| ~ sQ72_spl
| sQ153_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1418,f1431,f788,f333,f232]) ).
fof(f1435,plain,
( ~ sQ42_spl
| ~ sQ72_spl
| sQ133_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1419,f1431,f583,f333,f232]) ).
fof(f1436,definition,
! [X0] :
( sQ202_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1437,plain,
! [X0] :
( ~ sQ202_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1436]) ).
fof(f1439,plain,
( ~ sQ22_spl
| ~ sQ72_spl
| sQ136_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1420,f1436,f617,f333,f163]) ).
fof(f1440,plain,
( ~ sQ22_spl
| ~ sQ72_spl
| sQ172_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1421,f1436,f1007,f333,f163]) ).
fof(f1441,plain,
( ~ sQ72_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1423,f560,f333]) ).
fof(f1442,definition,
! [X0] :
( sQ203_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ203_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1442]) ).
fof(f1445,plain,
( ~ sQ72_spl
| sQ155_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1426,f1442,f809,f333]) ).
fof(f1446,plain,
( ~ sQ72_spl
| sQ130_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1427,f1442,f560,f333]) ).
fof(f1447,plain,
( ~ sQ35_spl
| ~ sQ203_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f1443,f211]) ).
fof(f1448,plain,
( ~ sQ35_spl
| ~ sQ202_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1437,f211]) ).
fof(f1449,plain,
( ~ sQ35_spl
| ~ sQ201_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1432,f211]) ).
fof(f1450,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f331,f1022]) ).
fof(f1451,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ71_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f331,f822]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ71_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f331,f823]) ).
fof(f1453,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ71_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f331,f914]) ).
fof(f1454,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ71_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f331,f915]) ).
fof(f1455,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ71_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f331,f1028]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ71_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f331,f1027]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f331,f64]) ).
fof(f1458,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f331,f62]) ).
fof(f1459,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f331,f60]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f331,f71]) ).
fof(f1461,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f331,f70]) ).
fof(f1462,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f331,f69]) ).
fof(f1463,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f331,f67]) ).
fof(f1464,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1450,f788,f330,f245]) ).
fof(f1465,definition,
! [X0] :
( sQ204_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1466,plain,
! [X0] :
( ~ sQ204_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1465]) ).
fof(f1468,plain,
( ~ sQ11_spl
| ~ sQ71_spl
| sQ130_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1451,f1465,f560,f330,f128]) ).
fof(f1469,plain,
( ~ sQ11_spl
| ~ sQ71_spl
| sQ136_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1452,f1465,f617,f330,f128]) ).
fof(f1470,definition,
! [X0] :
( sQ205_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1471,plain,
! [X0] :
( ~ sQ205_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1470]) ).
fof(f1473,plain,
( ~ sQ6_spl
| ~ sQ71_spl
| sQ127_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1453,f1470,f537,f330,f112]) ).
fof(f1474,plain,
( ~ sQ6_spl
| ~ sQ71_spl
| sQ136_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1454,f1470,f617,f330,f112]) ).
fof(f1475,definition,
! [X0] :
( sQ206_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1476,plain,
! [X0] :
( ~ sQ206_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1478,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| sQ153_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f1455,f1475,f788,f330,f245]) ).
fof(f1479,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| sQ172_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f1456,f1475,f1007,f330,f245]) ).
fof(f1480,definition,
! [X0] :
( sQ207_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1481,plain,
! [X0] :
( ~ sQ207_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1480]) ).
fof(f1483,plain,
( ~ sQ71_spl
| sQ158_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1460,f1480,f834,f330]) ).
fof(f1484,plain,
( ~ sQ71_spl
| sQ133_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1461,f1480,f583,f330]) ).
fof(f1485,plain,
( ~ sQ207_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f1481,f65]) ).
fof(f1486,plain,
( ~ sQ35_spl
| ~ sQ206_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f1476,f211]) ).
fof(f1487,plain,
( ~ sQ35_spl
| ~ sQ205_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f1471,f211]) ).
fof(f1488,plain,
( ~ sQ35_spl
| ~ sQ204_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1466,f211]) ).
fof(f1489,plain,
( ~ sQ147_spl
| ~ sQ70_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f328,f733]) ).
fof(f1490,plain,
( ~ sQ159_spl
| ~ sQ70_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f328,f851]) ).
fof(f1491,plain,
( ~ sQ163_spl
| ~ sQ70_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f328,f929]) ).
fof(f1492,plain,
( ~ sQ183_spl
| ~ sQ70_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f328,f1134]) ).
fof(f1493,plain,
( ~ sQ176_spl
| ~ sQ70_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f328,f1045]) ).
fof(f1494,plain,
( ~ sQ70_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f328,f81]) ).
fof(f1495,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f328,f64]) ).
fof(f1496,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f328,f62]) ).
fof(f1497,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f328,f60]) ).
fof(f1498,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f328,f71]) ).
fof(f1499,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f328,f70]) ).
fof(f1500,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f328,f69]) ).
fof(f1501,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f328,f67]) ).
fof(f1502,plain,
( ~ sQ70_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1494,f603,f327]) ).
fof(f1503,definition,
! [X0] :
( sQ208_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ208_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1503]) ).
fof(f1506,plain,
( ~ sQ70_spl
| sQ134_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1498,f1503,f603,f327]) ).
fof(f1507,plain,
( ~ sQ70_spl
| sQ172_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1499,f1503,f1007,f327]) ).
fof(f1508,plain,
( ~ sQ208_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f1504,f65]) ).
fof(f1514,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1401,f65]) ).
fof(f1515,plain,
( ~ sQ73_spl
| sQ164_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1514,f1408,f932,f336]) ).
fof(f1516,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1402,f65]) ).
fof(f1517,plain,
( ~ sQ73_spl
| sQ174_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1516,f1408,f1014,f336]) ).
fof(f1518,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f324,f64]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f324,f62]) ).
fof(f1520,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f324,f60]) ).
fof(f1521,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f324,f71]) ).
fof(f1522,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f324,f70]) ).
fof(f1523,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f324,f69]) ).
fof(f1524,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f324,f67]) ).
fof(f1525,definition,
! [X0] :
( sQ209_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ209_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1525]) ).
fof(f1528,plain,
( ~ sQ69_spl
| sQ136_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f1521,f1525,f617,f323]) ).
fof(f1529,plain,
( ~ sQ69_spl
| sQ137_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f1522,f1525,f624,f323]) ).
fof(f1530,plain,
( ~ sQ73_spl
| ~ sQ68_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f321,f1397]) ).
fof(f1531,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ68_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f321,f1402]) ).
fof(f1532,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ68_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f321,f1401]) ).
fof(f1533,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f321,f64]) ).
fof(f1534,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f321,f62]) ).
fof(f1535,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f321,f60]) ).
fof(f1536,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f321,f71]) ).
fof(f1537,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f321,f70]) ).
fof(f1538,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f321,f69]) ).
fof(f1539,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f321,f67]) ).
fof(f1540,plain,
( ~ sQ73_spl
| ~ sQ68_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1530,f610,f320,f336]) ).
fof(f1541,definition,
! [X0] :
( sQ210_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1542,plain,
! [X0] :
( ~ sQ210_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1541]) ).
fof(f1544,plain,
( ~ sQ73_spl
| ~ sQ68_spl
| sQ155_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1531,f1541,f809,f320,f336]) ).
fof(f1545,plain,
( ~ sQ73_spl
| ~ sQ68_spl
| sQ135_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1532,f1541,f610,f320,f336]) ).
fof(f1546,definition,
! [X0] :
( sQ211_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1547,plain,
! [X0] :
( ~ sQ211_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1546]) ).
fof(f1549,plain,
( ~ sQ68_spl
| sQ153_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1536,f1546,f788,f320]) ).
fof(f1550,plain,
( ~ sQ68_spl
| sQ141_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1537,f1546,f662,f320]) ).
fof(f1551,plain,
( ~ sQ42_spl
| ~ sQ67_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f318,f1082]) ).
fof(f1552,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ67_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f318,f1088]) ).
fof(f1553,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ67_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f318,f1087]) ).
fof(f1554,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ67_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f318,f552]) ).
fof(f1555,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ67_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f318,f551]) ).
fof(f1556,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f318,f64]) ).
fof(f1557,plain,
( ~ sQ67_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f318,f79]) ).
fof(f1558,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f318,f62]) ).
fof(f1559,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f318,f60]) ).
fof(f1560,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f318,f71]) ).
fof(f1561,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f318,f70]) ).
fof(f1562,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f318,f69]) ).
fof(f1563,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f318,f67]) ).
fof(f1564,plain,
( ~ sQ42_spl
| ~ sQ67_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1551,f788,f317,f232]) ).
fof(f1565,definition,
! [X0] :
( sQ212_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ212_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1565]) ).
fof(f1568,plain,
( ~ sQ42_spl
| ~ sQ67_spl
| sQ153_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f1552,f1565,f788,f317,f232]) ).
fof(f1569,plain,
( ~ sQ42_spl
| ~ sQ67_spl
| sQ146_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f1553,f1565,f720,f317,f232]) ).
fof(f1570,definition,
! [X0] :
( sQ213_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1571,plain,
! [X0] :
( ~ sQ213_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1573,plain,
( ~ sQ22_spl
| ~ sQ67_spl
| sQ136_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1554,f1570,f617,f317,f163]) ).
fof(f1574,plain,
( ~ sQ22_spl
| ~ sQ67_spl
| sQ135_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1555,f1570,f610,f317,f163]) ).
fof(f1575,plain,
( ~ sQ67_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1557,f689,f317]) ).
fof(f1576,definition,
! [X0] :
( sQ214_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1577,plain,
! [X0] :
( ~ sQ214_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1576]) ).
fof(f1579,plain,
( ~ sQ67_spl
| sQ155_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f1560,f1576,f809,f317]) ).
fof(f1580,plain,
( ~ sQ67_spl
| sQ144_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f1561,f1576,f689,f317]) ).
fof(f1581,plain,
( ~ sQ207_spl
| ~ sQ66_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f315,f1481]) ).
fof(f1582,plain,
( ~ sQ145_spl
| ~ sQ66_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f315,f717]) ).
fof(f1583,plain,
( ~ sQ157_spl
| ~ sQ66_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f315,f831]) ).
fof(f1584,plain,
( ~ sQ166_spl
| ~ sQ66_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f315,f948]) ).
fof(f1585,plain,
( ~ sQ193_spl
| ~ sQ66_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f315,f1273]) ).
fof(f1586,plain,
( ~ sQ182_spl
| ~ sQ66_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f315,f1120]) ).
fof(f1587,plain,
( ~ sQ175_spl
| ~ sQ66_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f315,f1030]) ).
fof(f1588,plain,
( ~ sQ131_spl
| ~ sQ66_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f315,f577]) ).
fof(f1589,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ66_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f315,f822]) ).
fof(f1590,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ66_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f315,f823]) ).
fof(f1591,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ66_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f315,f914]) ).
fof(f1592,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ66_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f315,f915]) ).
fof(f1593,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ66_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f315,f1028]) ).
fof(f1594,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ66_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f315,f1027]) ).
fof(f1595,plain,
( ~ sQ66_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f315,f81]) ).
fof(f1596,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f315,f64]) ).
fof(f1597,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f315,f62]) ).
fof(f1598,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f315,f60]) ).
fof(f1599,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f315,f71]) ).
fof(f1600,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f315,f70]) ).
fof(f1601,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f315,f69]) ).
fof(f1602,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f315,f67]) ).
fof(f1603,definition,
! [X0] :
( sQ215_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1604,plain,
! [X0] :
( ~ sQ215_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1603]) ).
fof(f1606,plain,
( ~ sQ11_spl
| ~ sQ66_spl
| sQ144_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f1589,f1603,f689,f314,f128]) ).
fof(f1607,plain,
( ~ sQ11_spl
| ~ sQ66_spl
| sQ136_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f1590,f1603,f617,f314,f128]) ).
fof(f1608,definition,
! [X0] :
( sQ216_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1609,plain,
! [X0] :
( ~ sQ216_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1608]) ).
fof(f1611,plain,
( ~ sQ6_spl
| ~ sQ66_spl
| sQ141_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f1591,f1608,f662,f314,f112]) ).
fof(f1612,plain,
( ~ sQ6_spl
| ~ sQ66_spl
| sQ136_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f1592,f1608,f617,f314,f112]) ).
fof(f1613,definition,
! [X0] :
( sQ217_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1614,plain,
! [X0] :
( ~ sQ217_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1613]) ).
fof(f1616,plain,
( ~ sQ46_spl
| ~ sQ66_spl
| sQ153_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f1593,f1613,f788,f314,f245]) ).
fof(f1617,plain,
( ~ sQ46_spl
| ~ sQ66_spl
| sQ135_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f1594,f1613,f610,f314,f245]) ).
fof(f1618,plain,
( ~ sQ66_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f1595,f834,f314]) ).
fof(f1619,definition,
! [X0] :
( sQ218_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1620,plain,
! [X0] :
( ~ sQ218_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1619]) ).
fof(f1622,plain,
( ~ sQ66_spl
| sQ158_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1599,f1619,f834,f314]) ).
fof(f1623,plain,
( ~ sQ66_spl
| sQ146_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1600,f1619,f720,f314]) ).
fof(f1624,plain,
( ~ sQ218_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f1620,f65]) ).
fof(f1625,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f312,f725]) ).
fof(f1626,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ65_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f312,f731]) ).
fof(f1627,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ65_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f312,f730]) ).
fof(f1628,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f312,f64]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f312,f62]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f312,f60]) ).
fof(f1631,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f312,f71]) ).
fof(f1632,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f312,f70]) ).
fof(f1633,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f312,f69]) ).
fof(f1634,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f312,f67]) ).
fof(f1635,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1625,f617,f311,f141]) ).
fof(f1636,definition,
! [X0] :
( sQ219_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1637,plain,
! [X0] :
( ~ sQ219_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1636]) ).
fof(f1639,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| sQ136_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f1626,f1636,f617,f311,f141]) ).
fof(f1640,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| sQ146_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f1627,f1636,f720,f311,f141]) ).
fof(f1641,definition,
! [X0] :
( sQ220_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1642,plain,
! [X0] :
( ~ sQ220_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1641]) ).
fof(f1644,plain,
( ~ sQ65_spl
| sQ134_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1631,f1641,f603,f311]) ).
fof(f1645,plain,
( ~ sQ65_spl
| sQ135_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1632,f1641,f610,f311]) ).
fof(f1646,plain,
( ~ sQ39_spl
| ~ sQ64_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f308,f1138]) ).
fof(f1647,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f308,f64]) ).
fof(f1648,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f308,f62]) ).
fof(f1649,plain,
( ~ sQ64_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f308,f77]) ).
fof(f1650,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f308,f60]) ).
fof(f1651,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f308,f71]) ).
fof(f1653,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f308,f69]) ).
fof(f1654,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f308,f67]) ).
fof(f1655,plain,
( ~ sQ39_spl
| ~ sQ64_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1646,f788,f307,f222]) ).
fof(f1656,plain,
( ~ sQ64_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1649,f556,f307]) ).
fof(f1657,definition,
! [X0] :
( sQ221_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1658,plain,
! [X0] :
( ~ sQ221_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1657]) ).
fof(f1660,plain,
( ~ sQ64_spl
| sQ136_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1651,f1657,f617,f307]) ).
fof(f1662,plain,
( ~ sQ73_spl
| ~ sQ63_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f305,f1397]) ).
fof(f1663,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ63_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f305,f1402]) ).
fof(f1664,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ63_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f305,f1401]) ).
fof(f1665,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f305,f64]) ).
fof(f1666,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f305,f62]) ).
fof(f1667,plain,
( ~ sQ63_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f305,f77]) ).
fof(f1668,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f305,f60]) ).
fof(f1669,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f305,f71]) ).
fof(f1671,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f305,f69]) ).
fof(f1672,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f305,f67]) ).
fof(f1673,plain,
( ~ sQ73_spl
| ~ sQ63_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1662,f603,f304,f336]) ).
fof(f1674,plain,
( ~ sQ73_spl
| ~ sQ63_spl
| sQ155_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1663,f1442,f809,f304,f336]) ).
fof(f1675,plain,
( ~ sQ73_spl
| ~ sQ63_spl
| sQ134_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1664,f1442,f603,f304,f336]) ).
fof(f1676,plain,
( ~ sQ63_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1667,f1014,f304]) ).
fof(f1677,plain,
( ~ sQ63_spl
| sQ153_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1669,f1249,f788,f304]) ).
fof(f1679,plain,
( ~ sQ215_spl
| ~ sQ61_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f299,f1604]) ).
fof(f1680,plain,
( ~ sQ216_spl
| ~ sQ61_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f299,f1609]) ).
fof(f1681,plain,
( ~ sQ217_spl
| ~ sQ61_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f299,f1614]) ).
fof(f1682,plain,
( ~ sQ212_spl
| ~ sQ61_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f299,f1566]) ).
fof(f1683,plain,
( ~ sQ213_spl
| ~ sQ61_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f299,f1571]) ).
fof(f1684,plain,
( ~ sQ214_spl
| ~ sQ61_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f299,f1577]) ).
fof(f1685,plain,
( ~ sQ211_spl
| ~ sQ61_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f299,f1547]) ).
fof(f1686,plain,
( ~ sQ209_spl
| ~ sQ61_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f299,f1526]) ).
fof(f1687,plain,
( ~ sQ11_spl
| ~ sQ61_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f299,f817]) ).
fof(f1688,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ61_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f299,f822]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ61_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f299,f823]) ).
fof(f1690,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ61_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f299,f914]) ).
fof(f1691,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ61_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f299,f915]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ61_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f299,f1028]) ).
fof(f1693,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ61_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f299,f1027]) ).
fof(f1694,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f299,f64]) ).
fof(f1695,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f299,f62]) ).
fof(f1696,plain,
( ~ sQ61_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f299,f77]) ).
fof(f1697,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f299,f60]) ).
fof(f1698,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f71]) ).
fof(f1699,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f70]) ).
fof(f1700,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f299,f69]) ).
fof(f1701,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f299,f67]) ).
fof(f1702,plain,
( ~ sQ214_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1684,f65]) ).
fof(f1703,plain,
( ~ sQ214_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f1702]) ).
fof(f1704,plain,
( ~ sQ210_spl
| ~ sQ60_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f296,f1542]) ).
fof(f1705,plain,
( ~ sQ200_spl
| ~ sQ60_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f296,f1409]) ).
fof(f1706,plain,
( ~ sQ204_spl
| ~ sQ60_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f296,f1466]) ).
fof(f1707,plain,
( ~ sQ205_spl
| ~ sQ60_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f296,f1471]) ).
fof(f1708,plain,
( ~ sQ206_spl
| ~ sQ60_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f296,f1476]) ).
fof(f1709,plain,
( ~ sQ201_spl
| ~ sQ60_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f296,f1432]) ).
fof(f1710,plain,
( ~ sQ202_spl
| ~ sQ60_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f296,f1437]) ).
fof(f1711,plain,
( ~ sQ203_spl
| ~ sQ60_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f296,f1443]) ).
fof(f1712,plain,
( ~ sQ199_spl
| ~ sQ60_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f296,f1404]) ).
fof(f1713,plain,
( ~ sQ198_spl
| ~ sQ60_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f296,f1389]) ).
fof(f1714,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f296,f64]) ).
fof(f1715,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f296,f62]) ).
fof(f1716,plain,
( ~ sQ60_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f296,f77]) ).
fof(f1717,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f296,f60]) ).
fof(f1718,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f296,f71]) ).
fof(f1719,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f296,f70]) ).
fof(f1720,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f296,f69]) ).
fof(f1721,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f296,f67]) ).
fof(f1722,plain,
( ~ sQ203_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1711,f65]) ).
fof(f1723,plain,
( ~ sQ203_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1722]) ).
fof(f1724,plain,
( ~ sQ194_spl
| ~ sQ59_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f292,f1300]) ).
fof(f1725,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f292,f64]) ).
fof(f1726,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f292,f62]) ).
fof(f1727,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_5,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f292,f60]) ).
fof(f1728,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f292,f71]) ).
fof(f1729,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f292,f70]) ).
fof(f1730,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f292,f69]) ).
fof(f1731,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f292,f67]) ).
fof(f1732,definition,
! [X0] :
( sQ222_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1733,plain,
! [X0] :
( ~ sQ222_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1732]) ).
fof(f1735,plain,
( ~ sQ59_spl
| sQ136_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f1728,f1732,f617,f291]) ).
fof(f1736,plain,
( ~ sQ59_spl
| sQ169_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f1729,f1732,f971,f291]) ).
fof(f1737,plain,
( ~ sQ58_spl
| ~ sQ192_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f1319]) ).
fof(f1738,plain,
( ~ sQ58_spl
| ~ sQ192_spl ),
inference(contradiction_clause,[status(thm)],[f1737]) ).
fof(f1739,plain,
( ~ sQ57_spl
| ~ sQ195_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f286,f1335]) ).
fof(f1740,plain,
( ~ sQ57_spl
| ~ sQ195_spl ),
inference(contradiction_clause,[status(thm)],[f1739]) ).
fof(f1741,plain,
( ~ sQ56_spl
| ~ sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f283,f1308]) ).
fof(f1742,plain,
( ~ sQ56_spl
| ~ sQ180_spl ),
inference(contradiction_clause,[status(thm)],[f1741]) ).
fof(f1743,plain,
( ~ sQ55_spl
| ~ sQ173_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f280,f1021]) ).
fof(f1744,plain,
( ~ sQ55_spl
| ~ sQ173_spl ),
inference(contradiction_clause,[status(thm)],[f1743]) ).
fof(f1745,plain,
( ~ sQ54_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f276,f81]) ).
fof(f1746,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f276,f64]) ).
fof(f1747,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f276,f62]) ).
fof(f1748,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f276,f60]) ).
fof(f1749,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f276,f71]) ).
fof(f1750,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f276,f70]) ).
fof(f1751,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f276,f69]) ).
fof(f1752,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f276,f67]) ).
fof(f1753,plain,
( ~ sQ54_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1745,f617,f275]) ).
fof(f1754,definition,
! [X0] :
( sQ223_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1755,plain,
! [X0] :
( ~ sQ223_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1754]) ).
fof(f1757,plain,
( ~ sQ54_spl
| sQ136_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f1749,f1754,f617,f275]) ).
fof(f1758,plain,
( ~ sQ54_spl
| sQ139_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f1750,f1754,f646,f275]) ).
fof(f1759,plain,
( ~ sQ73_spl
| ~ sQ53_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f273,f1397]) ).
fof(f1760,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ53_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f273,f1402]) ).
fof(f1761,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ53_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f273,f1401]) ).
fof(f1762,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f273,f64]) ).
fof(f1763,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f273,f62]) ).
fof(f1764,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f273,f60]) ).
fof(f1765,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f273,f71]) ).
fof(f1766,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f273,f70]) ).
fof(f1767,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f273,f69]) ).
fof(f1768,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f273,f67]) ).
fof(f1769,plain,
( ~ sQ73_spl
| ~ sQ53_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1759,f735,f272,f336]) ).
fof(f1770,definition,
! [X0] :
( sQ224_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1771,plain,
! [X0] :
( ~ sQ224_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1770]) ).
fof(f1773,plain,
( ~ sQ73_spl
| ~ sQ53_spl
| sQ155_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f1760,f1770,f809,f272,f336]) ).
fof(f1774,plain,
( ~ sQ73_spl
| ~ sQ53_spl
| sQ148_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f1761,f1770,f735,f272,f336]) ).
fof(f1775,definition,
! [X0] :
( sQ225_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1776,plain,
! [X0] :
( ~ sQ225_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1775]) ).
fof(f1778,plain,
( ~ sQ53_spl
| sQ153_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f1765,f1775,f788,f272]) ).
fof(f1779,plain,
( ~ sQ53_spl
| sQ126_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f1766,f1775,f533,f272]) ).
fof(f1780,plain,
( ~ sQ52_spl
| ~ sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f270,f813]) ).
fof(f1781,plain,
( ~ sQ52_spl
| ~ sQ154_spl ),
inference(contradiction_clause,[status(thm)],[f1780]) ).
fof(f1782,plain,
( ~ sQ51_spl
| ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f267,f749]) ).
fof(f1783,plain,
( ~ sQ51_spl
| ~ sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f1782]) ).
fof(f1784,plain,
( ~ sQ220_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1642,f65]) ).
fof(f1786,plain,
( ~ sQ221_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f1658,f65]) ).
fof(f1787,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1633,f312]) ).
fof(f1788,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1633,f65]) ).
fof(f1789,definition,
! [X0] :
( sQ226_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1790,plain,
! [X0] :
( ~ sQ226_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1789]) ).
fof(f1792,plain,
( ~ sQ65_spl
| sQ146_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f1787,f1789,f720,f311]) ).
fof(f1793,plain,
( ~ sQ65_spl
| sQ133_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1788,f1641,f583,f311]) ).
fof(f1794,plain,
! [X0] :
( ~ sQ226_spl
| ~ product(X0,e_3,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f1790]) ).
fof(f1795,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1634,f312]) ).
fof(f1796,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1634,f65]) ).
fof(f1797,plain,
( ~ sQ65_spl
| sQ155_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f1795,f1789,f809,f311]) ).
fof(f1798,plain,
( ~ sQ65_spl
| sQ130_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1796,f1641,f560,f311]) ).
fof(f1810,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1131,f65]) ).
fof(f1812,plain,
( ~ sQ40_spl
| sQ127_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1810,f1133,f537,f226]) ).
fof(f1814,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1144,f65]) ).
fof(f1815,plain,
( ~ sQ39_spl
| sQ126_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1814,f1145,f533,f222]) ).
fof(f1816,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1143,f65]) ).
fof(f1817,plain,
( ~ sQ39_spl
| sQ129_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1816,f1145,f556,f222]) ).
fof(f1825,plain,
( ~ sQ50_spl
| ~ sQ128_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f264,f568]) ).
fof(f1826,plain,
( ~ sQ50_spl
| ~ sQ128_spl ),
inference(contradiction_clause,[status(thm)],[f1825]) ).
fof(f1827,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ99_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f425,f1143]) ).
fof(f1828,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ99_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f425,f1144]) ).
fof(f1829,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f425,f64]) ).
fof(f1830,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f425,f62]) ).
fof(f1831,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f425,f60]) ).
fof(f1832,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f425,f71]) ).
fof(f1833,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f425,f70]) ).
fof(f1834,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f425,f69]) ).
fof(f1835,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f425,f67]) ).
fof(f1836,definition,
! [X0] :
( sQ227_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1837,plain,
! [X0] :
( ~ sQ227_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1836]) ).
fof(f1839,plain,
( ~ sQ39_spl
| ~ sQ99_spl
| sQ130_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f1827,f1836,f560,f424,f222]) ).
fof(f1840,plain,
( ~ sQ39_spl
| ~ sQ99_spl
| sQ141_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f1828,f1836,f662,f424,f222]) ).
fof(f1841,definition,
! [X0] :
( sQ228_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1842,plain,
! [X0] :
( ~ sQ228_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1841]) ).
fof(f1844,plain,
( ~ sQ99_spl
| sQ137_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1832,f1841,f624,f424]) ).
fof(f1845,plain,
( ~ sQ99_spl
| sQ150_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1833,f1841,f753,f424]) ).
fof(f1846,plain,
( ~ sQ65_spl
| ~ sQ228_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f1842,f312]) ).
fof(f1847,plain,
( ~ sQ65_spl
| ~ sQ227_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1837,f312]) ).
fof(f1848,plain,
( ~ sQ73_spl
| ~ sQ98_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f422,f1396]) ).
fof(f1849,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ98_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f422,f657]) ).
fof(f1850,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ98_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f422,f656]) ).
fof(f1851,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ98_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f422,f1402]) ).
fof(f1852,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ98_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f422,f1401]) ).
fof(f1853,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f422,f64]) ).
fof(f1854,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f422,f62]) ).
fof(f1855,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f422,f60]) ).
fof(f1856,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f422,f71]) ).
fof(f1857,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f422,f70]) ).
fof(f1858,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f422,f69]) ).
fof(f1859,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f422,f67]) ).
fof(f1860,plain,
( ~ sQ73_spl
| ~ sQ98_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1848,f689,f421,f336]) ).
fof(f1861,definition,
! [X0] :
( sQ229_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1862,plain,
! [X0] :
( ~ sQ229_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1861]) ).
fof(f1864,plain,
( ~ sQ18_spl
| ~ sQ98_spl
| sQ137_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f1849,f1861,f624,f421,f150]) ).
fof(f1865,plain,
( ~ sQ18_spl
| ~ sQ98_spl
| sQ133_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f1850,f1861,f583,f421,f150]) ).
fof(f1866,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(f1867,plain,
! [X0] :
( ~ sQ230_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f1866]) ).
fof(f1869,plain,
( ~ sQ73_spl
| ~ sQ98_spl
| sQ144_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f1851,f1866,f689,f421,f336]) ).
fof(f1870,plain,
( ~ sQ73_spl
| ~ sQ98_spl
| sQ172_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f1852,f1866,f1007,f421,f336]) ).
fof(f1871,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(f1872,plain,
! [X0] :
( ~ sQ231_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1871]) ).
fof(f1874,plain,
( ~ sQ98_spl
| sQ141_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f1856,f1871,f662,f421]) ).
fof(f1875,plain,
( ~ sQ98_spl
| sQ127_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f1857,f1871,f537,f421]) ).
fof(f1876,plain,
( ~ sQ65_spl
| ~ sQ231_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f1872,f312]) ).
fof(f1877,plain,
( ~ sQ65_spl
| ~ sQ230_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f1867,f312]) ).
fof(f1878,plain,
( ~ sQ65_spl
| ~ sQ229_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f1862,f312]) ).
fof(f1879,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f419,f546]) ).
fof(f1880,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ97_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f419,f1088]) ).
fof(f1881,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ97_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f419,f1087]) ).
fof(f1882,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ97_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f419,f552]) ).
fof(f1883,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ97_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f419,f551]) ).
fof(f1884,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f419,f64]) ).
fof(f1885,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f419,f62]) ).
fof(f1886,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f419,f60]) ).
fof(f1887,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f419,f71]) ).
fof(f1888,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f419,f70]) ).
fof(f1889,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f419,f69]) ).
fof(f1890,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f419,f67]) ).
fof(f1891,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1879,f624,f418,f163]) ).
fof(f1892,definition,
! [X0] :
( sQ232_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1893,plain,
! [X0] :
( ~ sQ232_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1892]) ).
fof(f1895,plain,
( ~ sQ42_spl
| ~ sQ97_spl
| sQ141_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f1880,f1892,f662,f418,f232]) ).
fof(f1896,plain,
( ~ sQ42_spl
| ~ sQ97_spl
| sQ133_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f1881,f1892,f583,f418,f232]) ).
fof(f1897,definition,
! [X0] :
( sQ233_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1898,plain,
! [X0] :
( ~ sQ233_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f1897]) ).
fof(f1900,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| sQ137_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f1882,f1897,f624,f418,f163]) ).
fof(f1901,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| sQ172_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f1883,f1897,f1007,f418,f163]) ).
fof(f1902,definition,
! [X0] :
( sQ234_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1903,plain,
! [X0] :
( ~ sQ234_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1902]) ).
fof(f1905,plain,
( ~ sQ97_spl
| sQ144_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f1887,f1902,f689,f418]) ).
fof(f1906,plain,
( ~ sQ97_spl
| sQ130_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f1888,f1902,f560,f418]) ).
fof(f1907,plain,
( ~ sQ65_spl
| ~ sQ234_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f1903,f312]) ).
fof(f1908,plain,
( ~ sQ65_spl
| ~ sQ234_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1907,f65]) ).
fof(f1909,plain,
( ~ sQ65_spl
| ~ sQ234_spl ),
inference(contradiction_clause,[status(thm)],[f1908]) ).
fof(f1910,plain,
( ~ sQ65_spl
| ~ sQ233_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f1898,f312]) ).
fof(f1911,plain,
( ~ sQ65_spl
| ~ sQ232_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1893,f312]) ).
fof(f1912,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f416,f1022]) ).
fof(f1913,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ96_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f416,f822]) ).
fof(f1914,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ96_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f416,f823]) ).
fof(f1915,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ96_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f416,f914]) ).
fof(f1916,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ96_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f416,f915]) ).
fof(f1917,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ96_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f416,f1028]) ).
fof(f1918,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ96_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f416,f1027]) ).
fof(f1919,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f416,f64]) ).
fof(f1920,plain,
( ~ sQ96_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f416,f79]) ).
fof(f1921,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f416,f62]) ).
fof(f1922,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f416,f60]) ).
fof(f1923,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f416,f71]) ).
fof(f1924,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f416,f70]) ).
fof(f1925,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f416,f69]) ).
fof(f1926,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f416,f67]) ).
fof(f1927,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1912,f662,f415,f245]) ).
fof(f1928,definition,
! [X0] :
( sQ235_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1929,plain,
! [X0] :
( ~ sQ235_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1928]) ).
fof(f1931,plain,
( ~ sQ11_spl
| ~ sQ96_spl
| sQ130_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f1913,f1928,f560,f415,f128]) ).
fof(f1932,plain,
( ~ sQ11_spl
| ~ sQ96_spl
| sQ137_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f1914,f1928,f624,f415,f128]) ).
fof(f1933,definition,
! [X0] :
( sQ236_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1934,plain,
! [X0] :
( ~ sQ236_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1933]) ).
fof(f1936,plain,
( ~ sQ6_spl
| ~ sQ96_spl
| sQ127_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f1915,f1933,f537,f415,f112]) ).
fof(f1937,plain,
( ~ sQ6_spl
| ~ sQ96_spl
| sQ137_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f1916,f1933,f624,f415,f112]) ).
fof(f1938,definition,
! [X0] :
( sQ237_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1939,plain,
! [X0] :
( ~ sQ237_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f1938]) ).
fof(f1941,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| sQ141_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f1917,f1938,f662,f415,f245]) ).
fof(f1942,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| sQ172_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f1918,f1938,f1007,f415,f245]) ).
fof(f1943,plain,
( ~ sQ96_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1920,f583,f415]) ).
fof(f1944,definition,
! [X0] :
( sQ238_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1945,plain,
! [X0] :
( ~ sQ238_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1944]) ).
fof(f1947,plain,
( ~ sQ96_spl
| sQ146_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f1923,f1944,f720,f415]) ).
fof(f1948,plain,
( ~ sQ96_spl
| sQ133_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f1924,f1944,f583,f415]) ).
fof(f1949,plain,
( ~ sQ65_spl
| ~ sQ238_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f1945,f312]) ).
fof(f1950,plain,
( ~ sQ65_spl
| ~ sQ237_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f1939,f312]) ).
fof(f1951,plain,
( ~ sQ65_spl
| ~ sQ236_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1934,f312]) ).
fof(f1952,plain,
( ~ sQ65_spl
| ~ sQ235_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f1929,f312]) ).
fof(f1953,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1834,f65]) ).
fof(f1954,plain,
( ~ sQ99_spl
| sQ148_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1953,f1841,f735,f424]) ).
fof(f1955,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1835,f65]) ).
fof(f1956,plain,
( ~ sQ99_spl
| sQ132_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1955,f1841,f579,f424]) ).
fof(f1957,plain,
( ~ sQ99_spl
| ~ sQ95_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f413,f1831]) ).
fof(f1958,plain,
( ~ sQ147_spl
| ~ sQ95_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f413,f733]) ).
fof(f1959,plain,
( ~ sQ190_spl
| ~ sQ95_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f413,f1218]) ).
fof(f1960,plain,
( ~ sQ208_spl
| ~ sQ95_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f413,f1504]) ).
fof(f1961,plain,
( ~ sQ159_spl
| ~ sQ95_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f413,f851]) ).
fof(f1962,plain,
( ~ sQ163_spl
| ~ sQ95_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f413,f929]) ).
fof(f1963,plain,
( ~ sQ183_spl
| ~ sQ95_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f413,f1134]) ).
fof(f1964,plain,
( ~ sQ176_spl
| ~ sQ95_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f413,f1045]) ).
fof(f1965,plain,
( ~ sQ95_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f413,f81]) ).
fof(f1966,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f413,f64]) ).
fof(f1967,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f413,f62]) ).
fof(f1968,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f413,f60]) ).
fof(f1969,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f413,f71]) ).
fof(f1970,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f413,f70]) ).
fof(f1971,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f413,f69]) ).
fof(f1972,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f413,f67]) ).
fof(f1973,plain,
( ~ sQ99_spl
| ~ sQ95_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f1957,f753,f412,f424]) ).
fof(f1974,plain,
( ~ sQ95_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1965,f610,f412]) ).
fof(f1975,definition,
! [X0] :
( sQ239_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1976,plain,
! [X0] :
( ~ sQ239_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1975]) ).
fof(f1978,plain,
( ~ sQ95_spl
| sQ135_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f1969,f1975,f610,f412]) ).
fof(f1979,plain,
( ~ sQ95_spl
| sQ172_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f1970,f1975,f1007,f412]) ).
fof(f1980,plain,
( ~ sQ239_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f1976,f65]) ).
fof(f1981,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1462,f65]) ).
fof(f1982,plain,
( ~ sQ71_spl
| sQ135_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1981,f1480,f610,f330]) ).
fof(f1983,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1463,f65]) ).
fof(f1984,plain,
( ~ sQ71_spl
| sQ144_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1983,f1480,f689,f330]) ).
fof(f1985,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1858,f65]) ).
fof(f1986,plain,
( ~ sQ98_spl
| sQ164_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f1985,f1871,f932,f421]) ).
fof(f1987,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1859,f65]) ).
fof(f1988,plain,
( ~ sQ98_spl
| sQ167_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f1987,f1871,f951,f421]) ).
fof(f1993,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f848,f65]) ).
fof(f1994,plain,
( ~ sQ10_spl
| sQ150_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1993,f850,f753,f125]) ).
fof(f1997,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f966,f65]) ).
fof(f1998,plain,
( ~ sQ49_spl
| sQ148_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1997,f968,f735,f254]) ).
fof(f1999,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f967,f65]) ).
fof(f2000,plain,
( ~ sQ49_spl
| sQ126_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1999,f968,f533,f254]) ).
fof(f2001,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ94_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f409,f967]) ).
fof(f2002,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ94_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f409,f966]) ).
fof(f2003,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ94_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f409,f1143]) ).
fof(f2004,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ94_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f409,f1144]) ).
fof(f2005,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f409,f64]) ).
fof(f2006,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f409,f62]) ).
fof(f2007,plain,
( ~ sQ94_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f409,f77]) ).
fof(f2008,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f409,f60]) ).
fof(f2009,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f409,f71]) ).
fof(f2011,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f409,f69]) ).
fof(f2012,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f409,f67]) ).
fof(f2013,plain,
( ~ sQ49_spl
| ~ sQ94_spl
| sQ141_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f2001,f1029,f662,f408,f254]) ).
fof(f2014,plain,
( ~ sQ49_spl
| ~ sQ94_spl
| sQ135_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f2002,f1029,f610,f408,f254]) ).
fof(f2015,plain,
( ~ sQ39_spl
| ~ sQ94_spl
| sQ144_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f2003,f1205,f689,f408,f222]) ).
fof(f2016,plain,
( ~ sQ39_spl
| ~ sQ94_spl
| sQ141_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f2004,f1205,f662,f408,f222]) ).
fof(f2017,plain,
( ~ sQ94_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f2007,f579,f408]) ).
fof(f2018,definition,
! [X0] :
( sQ240_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2019,plain,
! [X0] :
( ~ sQ240_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2018]) ).
fof(f2021,plain,
( ~ sQ94_spl
| sQ137_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f2009,f2018,f624,f408]) ).
fof(f2023,plain,
( ~ sQ240_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f2019,f65]) ).
fof(f2024,plain,
( ~ sQ98_spl
| ~ sQ93_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f406,f1854]) ).
fof(f2025,plain,
( ~ sQ68_spl
| ~ sQ93_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f406,f1533]) ).
fof(f2026,plain,
( ~ sQ18_spl
| ~ sQ93_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f406,f651]) ).
fof(f2027,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ93_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f406,f1859]) ).
fof(f2028,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ93_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f406,f1858]) ).
fof(f2029,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ93_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f406,f657]) ).
fof(f2030,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ93_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f406,f656]) ).
fof(f2031,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f406,f64]) ).
fof(f2032,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f406,f62]) ).
fof(f2033,plain,
( ~ sQ93_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f406,f77]) ).
fof(f2034,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f406,f60]) ).
fof(f2035,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f406,f71]) ).
fof(f2037,plain,
! [X0,X1,X2] :
( ~ sQ93_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f406,f69]) ).
fof(f2038,plain,
! [X0,X1,X2] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f406,f67]) ).
fof(f2039,plain,
( ~ sQ98_spl
| ~ sQ93_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f2024,f610,f405,f421]) ).
fof(f2040,plain,
( ~ sQ68_spl
| ~ sQ93_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f2025,f689,f405,f320]) ).
fof(f2041,plain,
( ~ sQ18_spl
| ~ sQ93_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f2026,f624,f405,f150]) ).
fof(f2042,plain,
( ~ sQ98_spl
| ~ sQ93_spl
| sQ146_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2027,f1944,f720,f405,f421]) ).
fof(f2043,plain,
( ~ sQ98_spl
| ~ sQ93_spl
| sQ135_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2028,f1944,f610,f405,f421]) ).
fof(f2044,plain,
( ~ sQ18_spl
| ~ sQ93_spl
| sQ137_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f2029,f716,f624,f405,f150]) ).
fof(f2045,plain,
( ~ sQ18_spl
| ~ sQ93_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f2030,f716,f720,f405,f150]) ).
fof(f2046,plain,
( ~ sQ93_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f2033,f951,f405]) ).
fof(f2047,plain,
( ~ sQ93_spl
| sQ141_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f2035,f1272,f662,f405]) ).
fof(f2049,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ92_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f403,f552]) ).
fof(f2050,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ92_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f403,f551]) ).
fof(f2051,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f403,f64]) ).
fof(f2052,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f403,f62]) ).
fof(f2053,plain,
( ~ sQ92_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f403,f77]) ).
fof(f2054,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f403,f60]) ).
fof(f2055,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f403,f71]) ).
fof(f2057,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f403,f69]) ).
fof(f2058,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f403,f67]) ).
fof(f2059,plain,
( ~ sQ22_spl
| ~ sQ92_spl
| sQ137_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f2049,f576,f624,f402,f163]) ).
fof(f2060,plain,
( ~ sQ22_spl
| ~ sQ92_spl
| sQ135_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f2050,f576,f610,f402,f163]) ).
fof(f2061,plain,
( ~ sQ92_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f2053,f834,f402]) ).
fof(f2062,definition,
! [X0] :
( sQ241_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2063,plain,
! [X0] :
( ~ sQ241_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2062]) ).
fof(f2065,plain,
( ~ sQ92_spl
| sQ144_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f2055,f2062,f689,f402]) ).
fof(f2067,plain,
( ~ sQ241_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f2063,f65]) ).
fof(f2068,plain,
( ~ sQ40_spl
| ~ sQ90_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f397,f1125]) ).
fof(f2069,plain,
( ~ sQ234_spl
| ~ sQ90_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f397,f1903]) ).
fof(f2070,plain,
( ~ sQ235_spl
| ~ sQ90_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f397,f1929]) ).
fof(f2071,plain,
( ~ sQ236_spl
| ~ sQ90_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f397,f1934]) ).
fof(f2072,plain,
( ~ sQ237_spl
| ~ sQ90_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f397,f1939]) ).
fof(f2073,plain,
( ~ sQ238_spl
| ~ sQ90_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f397,f1945]) ).
fof(f2074,plain,
( ~ sQ232_spl
| ~ sQ90_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f397,f1893]) ).
fof(f2075,plain,
( ~ sQ233_spl
| ~ sQ90_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f397,f1898]) ).
fof(f2076,plain,
( ~ sQ229_spl
| ~ sQ90_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f397,f1862]) ).
fof(f2077,plain,
( ~ sQ230_spl
| ~ sQ90_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f397,f1867]) ).
fof(f2078,plain,
( ~ sQ231_spl
| ~ sQ90_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f397,f1872]) ).
fof(f2079,plain,
( ~ sQ227_spl
| ~ sQ90_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f397,f1837]) ).
fof(f2080,plain,
( ~ sQ228_spl
| ~ sQ90_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f397,f1842]) ).
fof(f2081,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ90_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f397,f847]) ).
fof(f2082,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ90_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f397,f848]) ).
fof(f2083,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ90_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f397,f1131]) ).
fof(f2084,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ90_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f397,f1130]) ).
fof(f2085,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f397,f64]) ).
fof(f2086,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f397,f62]) ).
fof(f2087,plain,
( ~ sQ90_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f397,f77]) ).
fof(f2088,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f397,f60]) ).
fof(f2089,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f397,f71]) ).
fof(f2091,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f397,f69]) ).
fof(f2092,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f397,f67]) ).
fof(f2093,plain,
( ~ sQ40_spl
| ~ sQ90_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f2068,f662,f396,f226]) ).
fof(f2094,plain,
( ~ sQ238_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2073,f65]) ).
fof(f2095,plain,
( ~ sQ238_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f2094]) ).
fof(f2096,plain,
( ~ sQ90_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f2087,f583,f396]) ).
fof(f2097,definition,
! [X0] :
( sQ242_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2098,plain,
! [X0] :
( ~ sQ242_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2097]) ).
fof(f2100,plain,
( ~ sQ90_spl
| sQ135_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f2089,f2097,f610,f396]) ).
fof(f2102,plain,
( ~ sQ242_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f2098,f65]) ).
fof(f2109,plain,
( ~ sQ225_spl
| ~ sQ89_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f393,f1776]) ).
fof(f2110,plain,
( ~ sQ223_spl
| ~ sQ89_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f393,f1755]) ).
fof(f2111,plain,
( ~ sQ39_spl
| ~ sQ89_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f393,f1138]) ).
fof(f2112,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ89_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f393,f967]) ).
fof(f2113,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ89_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f393,f966]) ).
fof(f2114,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ89_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f393,f1143]) ).
fof(f2115,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ89_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f393,f1144]) ).
fof(f2116,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f393,f64]) ).
fof(f2117,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f393,f62]) ).
fof(f2118,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f393,f60]) ).
fof(f2119,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f393,f71]) ).
fof(f2120,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f393,f70]) ).
fof(f2121,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f393,f69]) ).
fof(f2122,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f393,f67]) ).
fof(f2123,plain,
( ~ sQ39_spl
| ~ sQ89_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f2111,f662,f392,f222]) ).
fof(f2124,definition,
! [X0] :
( sQ243_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2125,plain,
! [X0] :
( ~ sQ243_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2124]) ).
fof(f2127,plain,
( ~ sQ49_spl
| ~ sQ89_spl
| sQ141_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f2112,f2124,f662,f392,f254]) ).
fof(f2128,plain,
( ~ sQ49_spl
| ~ sQ89_spl
| sQ134_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f2113,f2124,f603,f392,f254]) ).
fof(f2129,definition,
! [X0] :
( sQ244_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2130,plain,
! [X0] :
( ~ sQ244_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2129]) ).
fof(f2132,plain,
( ~ sQ39_spl
| ~ sQ89_spl
| sQ155_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f2114,f2129,f809,f392,f222]) ).
fof(f2133,plain,
( ~ sQ39_spl
| ~ sQ89_spl
| sQ141_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f2115,f2129,f662,f392,f222]) ).
fof(f2134,definition,
! [X0] :
( sQ245_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2135,plain,
! [X0] :
( ~ sQ245_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2134]) ).
fof(f2137,plain,
( ~ sQ89_spl
| sQ137_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2119,f2134,f624,f392]) ).
fof(f2138,plain,
( ~ sQ89_spl
| sQ136_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2120,f2134,f617,f392]) ).
fof(f2139,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f390,f1854]) ).
fof(f2140,plain,
( ~ sQ222_spl
| ~ sQ88_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f390,f1733]) ).
fof(f2141,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ88_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f390,f1859]) ).
fof(f2142,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ88_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f390,f1858]) ).
fof(f2143,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f390,f64]) ).
fof(f2144,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f390,f62]) ).
fof(f2145,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f390,f60]) ).
fof(f2146,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f390,f71]) ).
fof(f2147,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f390,f70]) ).
fof(f2148,plain,
! [X0,X1,X2] :
( ~ sQ88_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f390,f69]) ).
fof(f2149,plain,
! [X0,X1,X2] :
( ~ sQ88_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f390,f67]) ).
fof(f2150,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f2139,f603,f389,f421]) ).
fof(f2151,definition,
! [X0] :
( sQ246_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2152,plain,
! [X0] :
( ~ sQ246_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f2151]) ).
fof(f2154,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| sQ146_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2141,f2151,f720,f389,f421]) ).
fof(f2155,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| sQ134_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2142,f2151,f603,f389,f421]) ).
fof(f2156,definition,
! [X0] :
( sQ247_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2157,plain,
! [X0] :
( ~ sQ247_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2156]) ).
fof(f2159,plain,
( ~ sQ88_spl
| sQ141_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2146,f2156,f662,f389]) ).
fof(f2160,plain,
( ~ sQ88_spl
| sQ153_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2147,f2156,f788,f389]) ).
fof(f2161,plain,
( ~ sQ87_spl
| ~ sQ241_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f387,f2067]) ).
fof(f2162,plain,
( ~ sQ87_spl
| ~ sQ241_spl ),
inference(contradiction_clause,[status(thm)],[f2161]) ).
fof(f2163,plain,
( ~ sQ86_spl
| ~ sQ226_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f384,f1794]) ).
fof(f2164,plain,
( ~ sQ86_spl
| ~ sQ226_spl ),
inference(contradiction_clause,[status(thm)],[f2163]) ).
fof(f2165,plain,
( ~ sQ85_spl
| ~ sQ207_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f1485]) ).
fof(f2166,plain,
( ~ sQ85_spl
| ~ sQ207_spl ),
inference(contradiction_clause,[status(thm)],[f2165]) ).
fof(f2167,plain,
( ~ sQ194_spl
| ~ sQ84_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f377,f1300]) ).
fof(f2168,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ84_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f377,f967]) ).
fof(f2169,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ84_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f377,f966]) ).
fof(f2170,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ84_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f377,f1143]) ).
fof(f2171,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ84_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f377,f1144]) ).
fof(f2172,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f377,f64]) ).
fof(f2173,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f377,f62]) ).
fof(f2174,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f377,f60]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f377,f71]) ).
fof(f2176,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f377,f70]) ).
fof(f2177,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f377,f69]) ).
fof(f2178,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f377,f67]) ).
fof(f2179,definition,
! [X0] :
( sQ248_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2180,plain,
! [X0] :
( ~ sQ248_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2179]) ).
fof(f2182,plain,
( ~ sQ49_spl
| ~ sQ84_spl
| sQ141_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2168,f2179,f662,f376,f254]) ).
fof(f2183,plain,
( ~ sQ49_spl
| ~ sQ84_spl
| sQ164_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2169,f2179,f932,f376,f254]) ).
fof(f2184,definition,
! [X0] :
( sQ249_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2185,plain,
! [X0] :
( ~ sQ249_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2184]) ).
fof(f2187,plain,
( ~ sQ39_spl
| ~ sQ84_spl
| sQ174_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2170,f2184,f1014,f376,f222]) ).
fof(f2188,plain,
( ~ sQ39_spl
| ~ sQ84_spl
| sQ141_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2171,f2184,f662,f376,f222]) ).
fof(f2189,definition,
! [X0] :
( sQ250_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2190,plain,
! [X0] :
( ~ sQ250_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2189]) ).
fof(f2192,plain,
( ~ sQ84_spl
| sQ137_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2175,f2189,f624,f376]) ).
fof(f2193,plain,
( ~ sQ84_spl
| sQ169_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2176,f2189,f971,f376]) ).
fof(f2194,plain,
( ~ sQ83_spl
| ~ sQ193_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f1320]) ).
fof(f2195,plain,
( ~ sQ83_spl
| ~ sQ193_spl ),
inference(contradiction_clause,[status(thm)],[f2194]) ).
fof(f2196,plain,
( ~ sQ82_spl
| ~ sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f371,f1316]) ).
fof(f2197,plain,
( ~ sQ82_spl
| ~ sQ189_spl ),
inference(contradiction_clause,[status(thm)],[f2196]) ).
fof(f2198,plain,
( ~ sQ81_spl
| ~ sQ182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f368,f1309]) ).
fof(f2199,plain,
( ~ sQ81_spl
| ~ sQ182_spl ),
inference(contradiction_clause,[status(thm)],[f2198]) ).
fof(f2200,plain,
( ~ sQ80_spl
| ~ sQ175_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f365,f1034]) ).
fof(f2201,plain,
( ~ sQ80_spl
| ~ sQ175_spl ),
inference(contradiction_clause,[status(thm)],[f2200]) ).
fof(f2202,plain,
( ~ sQ79_spl
| ~ sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f361,f2023]) ).
fof(f2203,plain,
( ~ sQ79_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f2202]) ).
fof(f2204,plain,
( ~ sQ78_spl
| ~ sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f358,f1321]) ).
fof(f2205,plain,
( ~ sQ78_spl
| ~ sQ166_spl ),
inference(contradiction_clause,[status(thm)],[f2204]) ).
fof(f2206,plain,
( ~ sQ77_spl
| ~ sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f355,f840]) ).
fof(f2207,plain,
( ~ sQ77_spl
| ~ sQ157_spl ),
inference(contradiction_clause,[status(thm)],[f2206]) ).
fof(f2208,plain,
( ~ sQ76_spl
| ~ sQ145_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f352,f724]) ).
fof(f2209,plain,
( ~ sQ76_spl
| ~ sQ145_spl ),
inference(contradiction_clause,[status(thm)],[f2208]) ).
fof(f2210,plain,
( ~ sQ75_spl
| ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f591]) ).
fof(f2211,plain,
( ~ sQ75_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f2210]) ).
fof(f2230,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1539,f65]) ).
fof(f2231,plain,
( ~ sQ68_spl
| sQ174_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f2230,f1546,f1014,f320]) ).
fof(f2232,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1538,f65]) ).
fof(f2233,plain,
( ~ sQ68_spl
| sQ167_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f2232,f1546,f951,f320]) ).
fof(f2234,plain,
( ~ sQ49_spl
| ~ sQ124_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f510,f961]) ).
fof(f2235,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ124_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f510,f967]) ).
fof(f2236,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ124_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f510,f966]) ).
fof(f2237,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ124_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f510,f1143]) ).
fof(f2238,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ124_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f510,f1144]) ).
fof(f2239,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f510,f64]) ).
fof(f2240,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f510,f62]) ).
fof(f2241,plain,
( ~ sQ124_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f510,f77]) ).
fof(f2242,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f510,f60]) ).
fof(f2243,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f510,f71]) ).
fof(f2245,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f510,f69]) ).
fof(f2246,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f510,f67]) ).
fof(f2247,plain,
( ~ sQ49_spl
| ~ sQ124_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2234,f537,f509,f254]) ).
fof(f2248,plain,
( ~ sQ49_spl
| ~ sQ124_spl
| sQ127_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f2235,f1044,f537,f509,f254]) ).
fof(f2249,plain,
( ~ sQ49_spl
| ~ sQ124_spl
| sQ172_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f2236,f1044,f1007,f509,f254]) ).
fof(f2250,plain,
( ~ sQ39_spl
| ~ sQ124_spl
| sQ130_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f2237,f1217,f560,f509,f222]) ).
fof(f2251,plain,
( ~ sQ39_spl
| ~ sQ124_spl
| sQ127_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f2238,f1217,f537,f509,f222]) ).
fof(f2252,plain,
( ~ sQ124_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f2241,f735,f509]) ).
fof(f2253,definition,
! [X0] :
( sQ251_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2254,plain,
! [X0] :
( ~ sQ251_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2253]) ).
fof(f2256,plain,
( ~ sQ124_spl
| sQ150_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2243,f2253,f753,f509]) ).
fof(f2258,plain,
( ~ sQ251_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f2254,f65]) ).
fof(f2259,plain,
( ~ sQ98_spl
| ~ sQ123_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f507,f1853]) ).
fof(f2260,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ123_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f507,f1538]) ).
fof(f2261,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ123_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f507,f1539]) ).
fof(f2262,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ123_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f507,f657]) ).
fof(f2263,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ123_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f507,f656]) ).
fof(f2264,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ123_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f507,f1859]) ).
fof(f2265,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ123_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f507,f1858]) ).
fof(f2266,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f507,f64]) ).
fof(f2267,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f507,f62]) ).
fof(f2268,plain,
( ~ sQ123_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f507,f77]) ).
fof(f2269,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f507,f60]) ).
fof(f2270,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f507,f71]) ).
fof(f2272,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f507,f69]) ).
fof(f2273,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f507,f67]) ).
fof(f2274,plain,
( ~ sQ98_spl
| ~ sQ123_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f2259,f583,f506,f421]) ).
fof(f2275,plain,
( ~ sQ68_spl
| ~ sQ123_spl
| sQ133_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f2260,f1641,f583,f506,f320]) ).
fof(f2276,plain,
( ~ sQ68_spl
| ~ sQ123_spl
| sQ130_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f2261,f1641,f560,f506,f320]) ).
fof(f2277,plain,
( ~ sQ18_spl
| ~ sQ123_spl
| sQ150_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f2262,f732,f753,f506,f150]) ).
fof(f2278,plain,
( ~ sQ18_spl
| ~ sQ123_spl
| sQ133_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f2263,f732,f583,f506,f150]) ).
fof(f2279,plain,
( ~ sQ98_spl
| ~ sQ123_spl
| sQ133_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2264,f1975,f583,f506,f421]) ).
fof(f2280,plain,
( ~ sQ98_spl
| ~ sQ123_spl
| sQ172_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f2265,f1975,f1007,f506,f421]) ).
fof(f2281,plain,
( ~ sQ123_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f2268,f932,f506]) ).
fof(f2282,definition,
! [X0] :
( sQ252_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2283,plain,
! [X0] :
( ~ sQ252_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2282]) ).
fof(f2285,plain,
( ~ sQ123_spl
| sQ127_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f2270,f2282,f537,f506]) ).
fof(f2287,plain,
( ~ sQ252_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f2283,f65]) ).
fof(f2288,plain,
( ~ sQ22_spl
| ~ sQ122_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f504,f546]) ).
fof(f2289,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ122_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f504,f552]) ).
fof(f2290,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ122_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f504,f551]) ).
fof(f2291,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f504,f64]) ).
fof(f2292,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f504,f62]) ).
fof(f2293,plain,
( ~ sQ122_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f504,f77]) ).
fof(f2294,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f504,f60]) ).
fof(f2295,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f504,f71]) ).
fof(f2297,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f504,f69]) ).
fof(f2298,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f504,f67]) ).
fof(f2299,plain,
( ~ sQ22_spl
| ~ sQ122_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f2288,f753,f503,f163]) ).
fof(f2300,definition,
! [X0] :
( sQ253_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2301,plain,
! [X0] :
( ~ sQ253_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f2300]) ).
fof(f2303,plain,
( ~ sQ22_spl
| ~ sQ122_spl
| sQ150_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f2289,f2300,f753,f503,f163]) ).
fof(f2304,plain,
( ~ sQ22_spl
| ~ sQ122_spl
| sQ172_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f2290,f2300,f1007,f503,f163]) ).
fof(f2305,plain,
( ~ sQ122_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f2293,f603,f503]) ).
fof(f2306,definition,
! [X0] :
( sQ254_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2307,plain,
! [X0] :
( ~ sQ254_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2306]) ).
fof(f2309,plain,
( ~ sQ122_spl
| sQ130_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f2295,f2306,f560,f503]) ).
fof(f2311,plain,
( ~ sQ253_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f2301,f65]) ).
fof(f2312,plain,
( ~ sQ254_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f2307,f65]) ).
fof(f2313,plain,
( ~ sQ71_spl
| ~ sQ121_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f501,f1457]) ).
fof(f2314,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ121_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f501,f914]) ).
fof(f2315,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ121_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f501,f915]) ).
fof(f2316,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ121_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f501,f1463]) ).
fof(f2317,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ121_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f501,f1462]) ).
fof(f2318,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f501,f64]) ).
fof(f2319,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f501,f62]) ).
fof(f2320,plain,
( ~ sQ121_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f501,f77]) ).
fof(f2321,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f501,f60]) ).
fof(f2322,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f501,f71]) ).
fof(f2324,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(e_1,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f501,f69]) ).
fof(f2325,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f501,f67]) ).
fof(f2326,plain,
( ~ sQ71_spl
| ~ sQ121_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f2313,f560,f500,f330]) ).
fof(f2327,plain,
( ~ sQ6_spl
| ~ sQ121_spl
| sQ127_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f2314,f928,f537,f500,f112]) ).
fof(f2328,plain,
( ~ sQ6_spl
| ~ sQ121_spl
| sQ150_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f2315,f928,f753,f500,f112]) ).
fof(f2329,plain,
( ~ sQ71_spl
| ~ sQ121_spl
| sQ130_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f2316,f1503,f560,f500,f330]) ).
fof(f2330,plain,
( ~ sQ71_spl
| ~ sQ121_spl
| sQ172_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f2317,f1503,f1007,f500,f330]) ).
fof(f2331,plain,
( ~ sQ121_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f2320,f610,f500]) ).
fof(f2332,plain,
( ~ sQ121_spl
| sQ133_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f2322,f2097,f583,f500]) ).
fof(f2334,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ119_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f494,f967]) ).
fof(f2335,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ119_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f494,f966]) ).
fof(f2336,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ119_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f494,f1143]) ).
fof(f2337,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ119_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f494,f1144]) ).
fof(f2338,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f494,f64]) ).
fof(f2339,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f494,f62]) ).
fof(f2340,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f494,f60]) ).
fof(f2341,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f494,f71]) ).
fof(f2342,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f494,f70]) ).
fof(f2343,plain,
! [X0,X1,X2] :
( ~ sQ119_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f494,f69]) ).
fof(f2344,plain,
! [X0,X1,X2] :
( ~ sQ119_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f494,f67]) ).
fof(f2345,definition,
! [X0] :
( sQ255_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2346,plain,
! [X0] :
( ~ sQ255_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2345]) ).
fof(f2348,plain,
( ~ sQ49_spl
| ~ sQ119_spl
| sQ127_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2334,f2345,f537,f493,f254]) ).
fof(f2349,plain,
( ~ sQ49_spl
| ~ sQ119_spl
| sQ135_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2335,f2345,f610,f493,f254]) ).
fof(f2350,definition,
! [X0] :
( sQ256_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2351,plain,
! [X0] :
( ~ sQ256_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2350]) ).
fof(f2353,plain,
( ~ sQ39_spl
| ~ sQ119_spl
| sQ144_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2336,f2350,f689,f493,f222]) ).
fof(f2354,plain,
( ~ sQ39_spl
| ~ sQ119_spl
| sQ127_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2337,f2350,f537,f493,f222]) ).
fof(f2355,definition,
! [X0] :
( sQ257_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2356,plain,
! [X0] :
( ~ sQ257_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2355]) ).
fof(f2358,plain,
( ~ sQ119_spl
| sQ150_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2341,f2355,f753,f493]) ).
fof(f2359,plain,
( ~ sQ119_spl
| sQ137_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2342,f2355,f624,f493]) ).
fof(f2360,plain,
( ~ sQ248_spl
| ~ sQ118_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f491,f2180]) ).
fof(f2361,plain,
( ~ sQ249_spl
| ~ sQ118_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f491,f2185]) ).
fof(f2362,plain,
( ~ sQ250_spl
| ~ sQ118_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f491,f2190]) ).
fof(f2363,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f491,f651]) ).
fof(f2364,plain,
( ~ sQ68_spl
| ~ sQ118_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f491,f1533]) ).
fof(f2365,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ118_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f491,f1538]) ).
fof(f2366,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ118_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f491,f1539]) ).
fof(f2367,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ118_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f491,f657]) ).
fof(f2368,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ118_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f491,f656]) ).
fof(f2369,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ118_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f491,f1859]) ).
fof(f2370,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ118_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f491,f1858]) ).
fof(f2371,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f491,f64]) ).
fof(f2372,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f491,f62]) ).
fof(f2373,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f491,f60]) ).
fof(f2374,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f491,f71]) ).
fof(f2375,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f491,f70]) ).
fof(f2376,plain,
! [X0,X1,X2] :
( ~ sQ118_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f491,f69]) ).
fof(f2377,plain,
! [X0,X1,X2] :
( ~ sQ118_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f491,f67]) ).
fof(f2378,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f2363,f753,f490,f150]) ).
fof(f2379,plain,
( ~ sQ68_spl
| ~ sQ118_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f2364,f560,f490,f320]) ).
fof(f2380,definition,
! [X0] :
( sQ258_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2381,plain,
! [X0] :
( ~ sQ258_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f2380]) ).
fof(f2383,plain,
( ~ sQ68_spl
| ~ sQ118_spl
| sQ146_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f2365,f2380,f720,f490,f320]) ).
fof(f2384,plain,
( ~ sQ68_spl
| ~ sQ118_spl
| sQ130_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f2366,f2380,f560,f490,f320]) ).
fof(f2385,definition,
! [X0] :
( sQ259_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2386,plain,
! [X0] :
( ~ sQ259_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f2385]) ).
fof(f2388,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| sQ150_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2367,f2385,f753,f490,f150]) ).
fof(f2389,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| sQ146_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2368,f2385,f720,f490,f150]) ).
fof(f2390,definition,
! [X0] :
( sQ260_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2391,plain,
! [X0] :
( ~ sQ260_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f2390]) ).
fof(f2393,plain,
( ~ sQ98_spl
| ~ sQ118_spl
| sQ133_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f2369,f2390,f583,f490,f421]) ).
fof(f2394,plain,
( ~ sQ98_spl
| ~ sQ118_spl
| sQ135_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f2370,f2390,f610,f490,f421]) ).
fof(f2395,definition,
! [X0] :
( sQ261_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2396,plain,
! [X0] :
( ~ sQ261_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2395]) ).
fof(f2398,plain,
( ~ sQ118_spl
| sQ127_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2374,f2395,f537,f490]) ).
fof(f2399,plain,
( ~ sQ118_spl
| sQ141_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2375,f2395,f662,f490]) ).
fof(f2400,plain,
( ~ sQ247_spl
| ~ sQ117_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f488,f2157]) ).
fof(f2401,plain,
( ~ sQ243_spl
| ~ sQ117_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f488,f2125]) ).
fof(f2402,plain,
( ~ sQ244_spl
| ~ sQ117_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f488,f2130]) ).
fof(f2403,plain,
( ~ sQ245_spl
| ~ sQ117_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f488,f2135]) ).
fof(f2404,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ117_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f488,f552]) ).
fof(f2405,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ117_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f488,f551]) ).
fof(f2406,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f488,f64]) ).
fof(f2407,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f488,f62]) ).
fof(f2408,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_3,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f488,f60]) ).
fof(f2409,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f488,f71]) ).
fof(f2410,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f488,f70]) ).
fof(f2411,plain,
! [X0,X1,X2] :
( ~ sQ117_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f488,f69]) ).
fof(f2412,plain,
! [X0,X1,X2] :
( ~ sQ117_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f488,f67]) ).
fof(f2413,definition,
! [X0] :
( sQ262_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2414,plain,
! [X0] :
( ~ sQ262_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f2413]) ).
fof(f2416,plain,
( ~ sQ22_spl
| ~ sQ117_spl
| sQ150_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f2404,f2413,f753,f487,f163]) ).
fof(f2417,plain,
( ~ sQ22_spl
| ~ sQ117_spl
| sQ135_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f2405,f2413,f610,f487,f163]) ).
fof(f2418,definition,
! [X0] :
( sQ263_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2419,plain,
! [X0] :
( ~ sQ263_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2418]) ).
fof(f2421,plain,
( ~ sQ117_spl
| sQ130_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2409,f2418,f560,f487]) ).
fof(f2422,plain,
( ~ sQ117_spl
| sQ144_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2410,f2418,f689,f487]) ).
fof(f2423,plain,
( ~ sQ116_spl
| ~ sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f485,f2102]) ).
fof(f2424,plain,
( ~ sQ116_spl
| ~ sQ242_spl ),
inference(contradiction_clause,[status(thm)],[f2423]) ).
fof(f2425,plain,
( ~ sQ115_spl
| ~ sQ239_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f1980]) ).
fof(f2426,plain,
( ~ sQ115_spl
| ~ sQ239_spl ),
inference(contradiction_clause,[status(thm)],[f2425]) ).
fof(f2427,plain,
( ~ sQ225_spl
| ~ sQ114_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f478,f1776]) ).
fof(f2428,plain,
( ~ sQ223_spl
| ~ sQ114_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f478,f1755]) ).
fof(f2429,plain,
( ~ sQ39_spl
| ~ sQ114_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f478,f1138]) ).
fof(f2430,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ114_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f478,f967]) ).
fof(f2431,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ114_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f478,f966]) ).
fof(f2432,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ114_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f478,f1143]) ).
fof(f2433,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ114_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f478,f1144]) ).
fof(f2434,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f478,f64]) ).
fof(f2435,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f478,f62]) ).
fof(f2436,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f478,f60]) ).
fof(f2437,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f478,f71]) ).
fof(f2438,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f478,f70]) ).
fof(f2439,plain,
! [X0,X1,X2] :
( ~ sQ114_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f478,f69]) ).
fof(f2440,plain,
! [X0,X1,X2] :
( ~ sQ114_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f478,f67]) ).
fof(f2441,plain,
( ~ sQ39_spl
| ~ sQ114_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2429,f537,f477,f222]) ).
fof(f2442,definition,
! [X0] :
( sQ264_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2443,plain,
! [X0] :
( ~ sQ264_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2442]) ).
fof(f2445,plain,
( ~ sQ49_spl
| ~ sQ114_spl
| sQ127_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2430,f2442,f537,f477,f254]) ).
fof(f2446,plain,
( ~ sQ49_spl
| ~ sQ114_spl
| sQ134_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2431,f2442,f603,f477,f254]) ).
fof(f2447,definition,
! [X0] :
( sQ265_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2448,plain,
! [X0] :
( ~ sQ265_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2447]) ).
fof(f2450,plain,
( ~ sQ39_spl
| ~ sQ114_spl
| sQ155_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2432,f2447,f809,f477,f222]) ).
fof(f2451,plain,
( ~ sQ39_spl
| ~ sQ114_spl
| sQ127_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2433,f2447,f537,f477,f222]) ).
fof(f2452,definition,
! [X0] :
( sQ266_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2453,plain,
! [X0] :
( ~ sQ266_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2452]) ).
fof(f2455,plain,
( ~ sQ114_spl
| sQ150_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2437,f2452,f753,f477]) ).
fof(f2456,plain,
( ~ sQ114_spl
| sQ136_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2438,f2452,f617,f477]) ).
fof(f2457,plain,
( ~ sQ222_spl
| ~ sQ113_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f475,f1733]) ).
fof(f2458,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ113_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f475,f1538]) ).
fof(f2459,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ113_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f475,f1539]) ).
fof(f2460,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ113_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f475,f657]) ).
fof(f2461,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ113_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f475,f656]) ).
fof(f2462,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ113_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f475,f1859]) ).
fof(f2463,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ113_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f475,f1858]) ).
fof(f2464,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f475,f64]) ).
fof(f2465,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f475,f62]) ).
fof(f2466,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f475,f60]) ).
fof(f2467,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f475,f71]) ).
fof(f2468,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f475,f70]) ).
fof(f2469,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f475,f69]) ).
fof(f2470,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f475,f67]) ).
fof(f2471,definition,
! [X0] :
( sQ267_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2472,plain,
! [X0] :
( ~ sQ267_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f2471]) ).
fof(f2474,plain,
( ~ sQ68_spl
| ~ sQ113_spl
| sQ158_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2458,f2471,f834,f474,f320]) ).
fof(f2475,plain,
( ~ sQ68_spl
| ~ sQ113_spl
| sQ130_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2459,f2471,f560,f474,f320]) ).
fof(f2476,definition,
! [X0] :
( sQ268_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2477,plain,
! [X0] :
( ~ sQ268_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f2476]) ).
fof(f2479,plain,
( ~ sQ18_spl
| ~ sQ113_spl
| sQ150_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f2460,f2476,f753,f474,f150]) ).
fof(f2480,plain,
( ~ sQ18_spl
| ~ sQ113_spl
| sQ158_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f2461,f2476,f834,f474,f150]) ).
fof(f2481,definition,
! [X0] :
( sQ269_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2482,plain,
! [X0] :
( ~ sQ269_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f2481]) ).
fof(f2484,plain,
( ~ sQ98_spl
| ~ sQ113_spl
| sQ133_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2462,f2481,f583,f474,f421]) ).
fof(f2485,plain,
( ~ sQ98_spl
| ~ sQ113_spl
| sQ134_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2463,f2481,f603,f474,f421]) ).
fof(f2486,definition,
! [X0] :
( sQ270_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2487,plain,
! [X0] :
( ~ sQ270_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2486]) ).
fof(f2489,plain,
( ~ sQ113_spl
| sQ127_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2467,f2486,f537,f474]) ).
fof(f2490,plain,
( ~ sQ113_spl
| sQ153_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2468,f2486,f788,f474]) ).
fof(f2491,plain,
( ~ sQ112_spl
| ~ sQ254_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f472,f2312]) ).
fof(f2492,plain,
( ~ sQ112_spl
| ~ sQ254_spl ),
inference(contradiction_clause,[status(thm)],[f2491]) ).
fof(f2493,plain,
( ~ sQ111_spl
| ~ sQ220_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f469,f1784]) ).
fof(f2494,plain,
( ~ sQ111_spl
| ~ sQ220_spl ),
inference(contradiction_clause,[status(thm)],[f2493]) ).
fof(f2495,plain,
( ~ sQ110_spl
| ~ sQ208_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f466,f1508]) ).
fof(f2496,plain,
( ~ sQ110_spl
| ~ sQ208_spl ),
inference(contradiction_clause,[status(thm)],[f2495]) ).
fof(f2497,plain,
( ~ sQ194_spl
| ~ sQ109_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f462,f1300]) ).
fof(f2498,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ109_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f462,f967]) ).
fof(f2499,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ109_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f462,f966]) ).
fof(f2500,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ109_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f462,f1143]) ).
fof(f2501,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ109_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f462,f1144]) ).
fof(f2502,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f462,f64]) ).
fof(f2503,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f462,f62]) ).
fof(f2504,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f462,f60]) ).
fof(f2505,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f462,f71]) ).
fof(f2506,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f462,f70]) ).
fof(f2507,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f462,f69]) ).
fof(f2508,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f462,f67]) ).
fof(f2509,definition,
! [X0] :
( sQ271_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2510,plain,
! [X0] :
( ~ sQ271_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2509]) ).
fof(f2512,plain,
( ~ sQ49_spl
| ~ sQ109_spl
| sQ127_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2498,f2509,f537,f461,f254]) ).
fof(f2513,plain,
( ~ sQ49_spl
| ~ sQ109_spl
| sQ164_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2499,f2509,f932,f461,f254]) ).
fof(f2514,definition,
! [X0] :
( sQ272_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2515,plain,
! [X0] :
( ~ sQ272_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2514]) ).
fof(f2517,plain,
( ~ sQ39_spl
| ~ sQ109_spl
| sQ174_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2500,f2514,f1014,f461,f222]) ).
fof(f2518,plain,
( ~ sQ39_spl
| ~ sQ109_spl
| sQ127_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2501,f2514,f537,f461,f222]) ).
fof(f2519,definition,
! [X0] :
( sQ273_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2520,plain,
! [X0] :
( ~ sQ273_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2519]) ).
fof(f2522,plain,
( ~ sQ109_spl
| sQ150_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f2505,f2519,f753,f461]) ).
fof(f2523,plain,
( ~ sQ109_spl
| sQ169_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f2506,f2519,f971,f461]) ).
fof(f2524,plain,
( ~ sQ108_spl
| ~ sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f459,f2287]) ).
fof(f2525,plain,
( ~ sQ108_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f2524]) ).
fof(f2526,plain,
( ~ sQ107_spl
| ~ sQ190_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f456,f1317]) ).
fof(f2527,plain,
( ~ sQ107_spl
| ~ sQ190_spl ),
inference(contradiction_clause,[status(thm)],[f2526]) ).
fof(f2528,plain,
( ~ sQ106_spl
| ~ sQ183_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f453,f1310]) ).
fof(f2529,plain,
( ~ sQ106_spl
| ~ sQ183_spl ),
inference(contradiction_clause,[status(thm)],[f2528]) ).
fof(f2530,plain,
( ~ sQ105_spl
| ~ sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f450,f1049]) ).
fof(f2531,plain,
( ~ sQ105_spl
| ~ sQ176_spl ),
inference(contradiction_clause,[status(thm)],[f2530]) ).
fof(f2532,plain,
( ~ sQ104_spl
| ~ sQ251_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f446,f2258]) ).
fof(f2533,plain,
( ~ sQ104_spl
| ~ sQ251_spl ),
inference(contradiction_clause,[status(thm)],[f2532]) ).
fof(f2534,plain,
( ~ sQ103_spl
| ~ sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f443,f938]) ).
fof(f2535,plain,
( ~ sQ103_spl
| ~ sQ163_spl ),
inference(contradiction_clause,[status(thm)],[f2534]) ).
fof(f2536,plain,
( ~ sQ102_spl
| ~ sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f440,f855]) ).
fof(f2537,plain,
( ~ sQ102_spl
| ~ sQ159_spl ),
inference(contradiction_clause,[status(thm)],[f2536]) ).
fof(f2538,plain,
( ~ sQ101_spl
| ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f437,f759]) ).
fof(f2539,plain,
( ~ sQ101_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f2538]) ).
fof(f2540,plain,
( ~ sQ100_spl
| ~ sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f434,f2311]) ).
fof(f2541,plain,
( ~ sQ100_spl
| ~ sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f2540]) ).
fof(f2543,plain,
( ~ sQ49_spl
| ~ sQ39_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f223,f962]) ).
fof(f2545,plain,
( ~ sQ225_spl
| ~ sQ39_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f223,f1776]) ).
fof(f2546,plain,
( ~ sQ223_spl
| ~ sQ39_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f223,f1755]) ).
fof(f2548,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ39_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f223,f967]) ).
fof(f2549,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ39_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f223,f966]) ).
fof(f2550,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f223,f1143]) ).
fof(f2551,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f223,f1144]) ).
fof(f2559,plain,
( ~ sQ49_spl
| ~ sQ39_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f2543,f603,f222,f254]) ).
fof(f2560,plain,
( ~ sQ225_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2545,f65]) ).
fof(f2561,plain,
( ~ sQ225_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2560]) ).
fof(f2562,plain,
( ~ sQ35_spl
| ~ sQ204_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1488,f184,f1465,f210]) ).
fof(f2563,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1216,f65]) ).
fof(f2564,plain,
( ~ sQ35_spl
| sQ127_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f2563,f1217,f537,f210]) ).
fof(f2574,plain,
( ~ sQ18_spl
| ~ sQ3_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f103,f652]) ).
fof(f2575,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ3_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f103,f1538]) ).
fof(f2576,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ3_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f103,f1539]) ).
fof(f2577,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ3_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f103,f657]) ).
fof(f2578,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ3_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f103,f656]) ).
fof(f2579,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ3_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f103,f1859]) ).
fof(f2580,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ3_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f103,f1858]) ).
fof(f2581,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_5,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f103,f64]) ).
fof(f2582,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_5,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f103,f62]) ).
fof(f2583,plain,
( ~ sQ3_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f103,f77]) ).
fof(f2584,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_4,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f103,f60]) ).
fof(f2585,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f103,f71]) ).
fof(f2587,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f103,f69]) ).
fof(f2588,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f103,f67]) ).
fof(f2589,plain,
( ~ sQ18_spl
| ~ sQ3_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f2574,f579,f102,f150]) ).
fof(f2590,plain,
( ~ sQ68_spl
| ~ sQ3_spl
| sQ132_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2575,f1525,f579,f102,f320]) ).
fof(f2591,plain,
( ~ sQ68_spl
| ~ sQ3_spl
| sQ129_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2576,f1525,f556,f102,f320]) ).
fof(f2592,plain,
( ~ sQ18_spl
| ~ sQ3_spl
| sQ139_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f2577,f643,f646,f102,f150]) ).
fof(f2593,plain,
( ~ sQ18_spl
| ~ sQ3_spl
| sQ132_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f2578,f643,f579,f102,f150]) ).
fof(f2594,plain,
( ~ sQ98_spl
| ~ sQ3_spl
| sQ132_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f2579,f1841,f579,f102,f421]) ).
fof(f2595,plain,
( ~ sQ98_spl
| ~ sQ3_spl
| sQ148_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f2580,f1841,f735,f102,f421]) ).
fof(f2596,plain,
( ~ sQ3_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f2583,f971,f102]) ).
fof(f2597,plain,
( ~ sQ3_spl
| sQ126_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f2585,f1231,f533,f102]) ).
fof(f2599,plain,
( ~ sQ22_spl
| ~ sQ2_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f100,f547]) ).
fof(f2600,plain,
( ~ sQ151_spl
| ~ sQ2_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f100,f773]) ).
fof(f2601,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ2_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f100,f552]) ).
fof(f2602,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ2_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f100,f551]) ).
fof(f2603,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_5,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f100,f64]) ).
fof(f2604,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f100,f62]) ).
fof(f2605,plain,
( ~ sQ2_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f100,f77]) ).
fof(f2606,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_3,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f100,f60]) ).
fof(f2607,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f100,f71]) ).
fof(f2609,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f100,f69]) ).
fof(f2610,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f100,f67]) ).
fof(f2611,plain,
( ~ sQ22_spl
| ~ sQ2_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f2599,f735,f99,f163]) ).
fof(f2612,plain,
( ~ sQ151_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2600,f65]) ).
fof(f2613,plain,
( ~ sQ151_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2612]) ).
fof(f2614,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f97,f910]) ).
fof(f2615,plain,
( ~ sQ138_spl
| ~ sQ1_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f97,f644]) ).
fof(f2616,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ1_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f97,f914]) ).
fof(f2617,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ1_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f97,f915]) ).
fof(f2618,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ1_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f97,f1463]) ).
fof(f2619,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ1_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f97,f1462]) ).
fof(f2620,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_5,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f97,f64]) ).
fof(f2621,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_5,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f97,f62]) ).
fof(f2622,plain,
( ~ sQ1_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f97,f77]) ).
fof(f2623,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f97,f60]) ).
fof(f2624,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f97,f71]) ).
fof(f2626,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f97,f69]) ).
fof(f2627,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f97,f67]) ).
fof(f2628,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f2614,f533,f96,f112]) ).
fof(f2629,plain,
( ~ sQ138_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2615,f65]) ).
fof(f2630,plain,
( ~ sQ138_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f2629]) ).
fof(f2631,plain,
( ~ sQ142_spl
| ~ sQ0_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f94,f681]) ).
fof(f2632,plain,
( ~ sQ156_spl
| ~ sQ0_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f94,f826]) ).
fof(f2633,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ0_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f94,f848]) ).
fof(f2634,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ0_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f94,f1215]) ).
fof(f2635,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ0_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f94,f1216]) ).
fof(f2636,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ0_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f94,f1131]) ).
fof(f2637,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ0_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f94,f1130]) ).
fof(f2638,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_5,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f94,f64]) ).
fof(f2639,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f94,f62]) ).
fof(f2640,plain,
( ~ sQ0_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f94,f77]) ).
fof(f2641,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_1,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f94,f60]) ).
fof(f2642,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f94,f71]) ).
fof(f2644,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f94,f69]) ).
fof(f2645,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f94,f67]) ).
fof(f2646,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| sQ139_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f2633,f772,f646,f93,f125]) ).
fof(f2647,plain,
( ~ sQ35_spl
| ~ sQ0_spl
| sQ129_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f2634,f1145,f556,f93,f210]) ).
fof(f2648,plain,
( ~ sQ35_spl
| ~ sQ0_spl
| sQ126_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f2635,f1145,f533,f93,f210]) ).
fof(f2649,plain,
( ~ sQ40_spl
| ~ sQ0_spl
| sQ126_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f2636,f1061,f533,f93,f226]) ).
fof(f2650,plain,
( ~ sQ40_spl
| ~ sQ0_spl
| sQ132_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f2637,f1061,f579,f93,f226]) ).
fof(f2651,plain,
( ~ sQ0_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f2640,f753,f93]) ).
fof(f2652,plain,
( ~ sQ0_spl
| sQ148_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2642,f2253,f735,f93]) ).
fof(f2654,plain,
( ~ sQ2_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f2605,f617,f99]) ).
fof(f2655,plain,
( ~ sQ2_spl
| sQ129_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f2607,f1657,f556,f99]) ).
fof(f2657,plain,
( ~ sQ39_spl
| sQ155_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f2550,f1330,f809,f222]) ).
fof(f2658,plain,
( ~ sQ39_spl
| sQ162_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f2551,f1330,f891,f222]) ).
fof(f2661,plain,
( ~ sQ1_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f2622,f624,f96]) ).
fof(f2662,plain,
( ~ sQ1_spl
| sQ132_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f2624,f2018,f579,f96]) ).
fof(f2664,plain,
( ~ sQ51_spl
| ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f267,f695]) ).
fof(f2665,plain,
( ~ sQ51_spl
| ~ sQ143_spl ),
inference(contradiction_clause,[status(thm)],[f2664]) ).
fof(f2705,plain,
( ~ sQ68_spl
| ~ sQ18_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f151,f1533]) ).
fof(f2706,plain,
( ~ sQ248_spl
| ~ sQ18_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f151,f2180]) ).
fof(f2707,plain,
( ~ sQ249_spl
| ~ sQ18_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f151,f2185]) ).
fof(f2708,plain,
( ~ sQ250_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f151,f2190]) ).
fof(f2710,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ18_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f151,f1538]) ).
fof(f2711,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ18_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f151,f1539]) ).
fof(f2712,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ18_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f151,f1859]) ).
fof(f2713,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ18_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f151,f1858]) ).
fof(f2714,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f151,f657]) ).
fof(f2715,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f151,f656]) ).
fof(f2723,plain,
( ~ sQ68_spl
| ~ sQ18_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f2705,f556,f150,f320]) ).
fof(f2724,plain,
( ~ sQ250_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2708,f65]) ).
fof(f2725,plain,
( ~ sQ250_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2724]) ).
fof(f2726,plain,
( ~ sQ98_spl
| ~ sQ18_spl
| sQ132_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f2712,f1861,f579,f150,f421]) ).
fof(f2727,plain,
( ~ sQ98_spl
| ~ sQ18_spl
| sQ135_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f2713,f1861,f610,f150,f421]) ).
fof(f2728,plain,
( ~ sQ18_spl
| sQ139_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f2714,f744,f646,f150]) ).
fof(f2729,plain,
( ~ sQ18_spl
| sQ146_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f2715,f744,f720,f150]) ).
fof(f2732,plain,
( ~ sQ65_spl
| ~ sQ233_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1910,f263,f1897,f311]) ).
fof(f2733,plain,
( ~ sQ28_spl
| ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f188,f895]) ).
fof(f2734,plain,
( ~ sQ28_spl
| ~ sQ161_spl ),
inference(contradiction_clause,[status(thm)],[f2733]) ).
fof(f2751,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f925,f65]) ).
fof(f2752,plain,
( ~ sQ5_spl
| sQ150_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f2751,f928,f753,f109]) ).
fof(f2755,plain,
( ~ sQ18_spl
| ~ sQ13_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f778,f151]) ).
fof(f2756,plain,
( ~ sQ18_spl
| ~ sQ13_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f2755,f689,f134,f150]) ).
fof(f2766,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1523,f65]) ).
fof(f2767,plain,
( ~ sQ69_spl
| sQ132_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2766,f1525,f579,f323]) ).
fof(f2768,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1524,f65]) ).
fof(f2769,plain,
( ~ sQ69_spl
| sQ129_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f2768,f1525,f556,f323]) ).
fof(f2770,plain,
( ~ sQ86_spl
| ~ sQ218_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f384,f1624]) ).
fof(f2771,plain,
( ~ sQ86_spl
| ~ sQ218_spl ),
inference(contradiction_clause,[status(thm)],[f2770]) ).
fof(f2772,plain,
( ~ sQ40_spl
| ~ sQ115_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f482,f1125]) ).
fof(f2773,plain,
( ~ sQ234_spl
| ~ sQ115_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f482,f1903]) ).
fof(f2774,plain,
( ~ sQ246_spl
| ~ sQ115_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f482,f2152]) ).
fof(f2775,plain,
( ~ sQ238_spl
| ~ sQ115_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f482,f1945]) ).
fof(f2776,plain,
( ~ sQ236_spl
| ~ sQ115_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f482,f1934]) ).
fof(f2777,plain,
( ~ sQ237_spl
| ~ sQ115_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f482,f1939]) ).
fof(f2778,plain,
( ~ sQ232_spl
| ~ sQ115_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f482,f1893]) ).
fof(f2779,plain,
( ~ sQ233_spl
| ~ sQ115_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f482,f1898]) ).
fof(f2780,plain,
( ~ sQ229_spl
| ~ sQ115_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f482,f1862]) ).
fof(f2781,plain,
( ~ sQ230_spl
| ~ sQ115_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f482,f1867]) ).
fof(f2782,plain,
( ~ sQ231_spl
| ~ sQ115_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f482,f1872]) ).
fof(f2783,plain,
( ~ sQ227_spl
| ~ sQ115_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f482,f1837]) ).
fof(f2784,plain,
( ~ sQ228_spl
| ~ sQ115_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f482,f1842]) ).
fof(f2785,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ115_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f482,f1131]) ).
fof(f2786,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ115_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f482,f1130]) ).
fof(f2787,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ115_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f482,f924]) ).
fof(f2788,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ115_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f482,f925]) ).
fof(f2789,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ115_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f482,f1215]) ).
fof(f2790,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ115_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f482,f1216]) ).
fof(f2791,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f482,f64]) ).
fof(f2792,plain,
( ~ sQ115_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f482,f79]) ).
fof(f2793,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f482,f62]) ).
fof(f2794,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f482,f60]) ).
fof(f2795,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f482,f71]) ).
fof(f2796,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f482,f70]) ).
fof(f2797,plain,
! [X0,X1,X2] :
( ~ sQ115_spl
| equalish(e_2,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f482,f69]) ).
fof(f2798,plain,
! [X0,X1,X2] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f482,f67]) ).
fof(f2799,plain,
( ~ sQ40_spl
| ~ sQ115_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2772,f537,f481,f226]) ).
fof(f2800,definition,
! [X0] :
( sQ274_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2801,plain,
! [X0] :
( ~ sQ274_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f2800]) ).
fof(f2803,plain,
( ~ sQ40_spl
| ~ sQ115_spl
| sQ127_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f2785,f2800,f537,f481,f226]) ).
fof(f2804,plain,
( ~ sQ40_spl
| ~ sQ115_spl
| sQ146_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f2786,f2800,f720,f481,f226]) ).
fof(f2805,definition,
! [X0] :
( sQ275_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2806,plain,
! [X0] :
( ~ sQ275_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f2805]) ).
fof(f2808,plain,
( ~ sQ5_spl
| ~ sQ115_spl
| sQ141_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f2787,f2805,f662,f481,f109]) ).
fof(f2809,plain,
( ~ sQ5_spl
| ~ sQ115_spl
| sQ150_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f2788,f2805,f753,f481,f109]) ).
fof(f2810,plain,
( ~ sQ35_spl
| ~ sQ115_spl
| sQ144_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2789,f2350,f689,f481,f210]) ).
fof(f2811,plain,
( ~ sQ35_spl
| ~ sQ115_spl
| sQ127_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2790,f2350,f537,f481,f210]) ).
fof(f2812,plain,
( ~ sQ115_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f2792,f610,f481]) ).
fof(f2813,definition,
! [X0] :
( sQ276_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2814,plain,
! [X0] :
( ~ sQ276_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2813]) ).
fof(f2816,plain,
( ~ sQ115_spl
| sQ172_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f2795,f2813,f1007,f481]) ).
fof(f2817,plain,
( ~ sQ115_spl
| sQ135_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f2796,f2813,f610,f481]) ).
fof(f2818,plain,
( ~ sQ65_spl
| ~ sQ229_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1878,f266,f1861,f311]) ).
fof(f2819,plain,
( ~ sQ52_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f270,f863]) ).
fof(f2820,plain,
( ~ sQ52_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f2819]) ).
fof(f2821,plain,
( ~ sQ65_spl
| ~ sQ236_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1951,f272,f1933,f311]) ).
fof(f2822,plain,
( ~ sQ35_spl
| ~ sQ110_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f466,f1210]) ).
fof(f2823,plain,
( ~ sQ210_spl
| ~ sQ110_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f466,f1542]) ).
fof(f2824,plain,
( ~ sQ224_spl
| ~ sQ110_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f466,f1771]) ).
fof(f2825,plain,
( ~ sQ205_spl
| ~ sQ110_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f466,f1471]) ).
fof(f2826,plain,
( ~ sQ206_spl
| ~ sQ110_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f466,f1476]) ).
fof(f2827,plain,
( ~ sQ201_spl
| ~ sQ110_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f466,f1432]) ).
fof(f2828,plain,
( ~ sQ202_spl
| ~ sQ110_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f466,f1437]) ).
fof(f2829,plain,
( ~ sQ198_spl
| ~ sQ110_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f466,f1389]) ).
fof(f2830,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ110_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f466,f1215]) ).
fof(f2831,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ110_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f466,f1216]) ).
fof(f2832,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f466,f64]) ).
fof(f2833,plain,
( ~ sQ110_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f466,f79]) ).
fof(f2834,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f466,f62]) ).
fof(f2835,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f466,f60]) ).
fof(f2836,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f466,f71]) ).
fof(f2837,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f466,f70]) ).
fof(f2838,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f466,f69]) ).
fof(f2839,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f466,f67]) ).
fof(f2840,plain,
( ~ sQ35_spl
| ~ sQ110_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2822,f537,f465,f210]) ).
fof(f2841,plain,
( ~ sQ205_spl
| ~ sQ110_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f2825,f442,f465,f1470]) ).
fof(f2842,plain,
( ~ sQ201_spl
| ~ sQ110_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f2827,f452,f465,f1431]) ).
fof(f2843,plain,
( ~ sQ35_spl
| ~ sQ110_spl
| sQ155_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2830,f2447,f809,f465,f210]) ).
fof(f2844,plain,
( ~ sQ35_spl
| ~ sQ110_spl
| sQ127_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2831,f2447,f537,f465,f210]) ).
fof(f2845,plain,
( ~ sQ110_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f2833,f603,f465]) ).
fof(f2846,definition,
! [X0] :
( sQ277_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2847,plain,
! [X0] :
( ~ sQ277_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2846]) ).
fof(f2849,plain,
( ~ sQ110_spl
| sQ172_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f2836,f2846,f1007,f465]) ).
fof(f2850,plain,
( ~ sQ110_spl
| sQ134_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f2837,f2846,f603,f465]) ).
fof(f2851,plain,
( ~ sQ276_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f2814,f65]) ).
fof(f2864,plain,
( ~ sQ277_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f2847,f65]) ).
fof(f2872,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2411,f65]) ).
fof(f2873,plain,
( ~ sQ117_spl
| sQ158_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2872,f2418,f834,f487]) ).
fof(f2874,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2412,f65]) ).
fof(f2875,plain,
( ~ sQ117_spl
| sQ134_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2874,f2418,f603,f487]) ).
fof(f2876,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ53_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1767,f151]) ).
fof(f2877,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1767,f65]) ).
fof(f2878,definition,
! [X0] :
( sQ278_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2879,plain,
! [X0] :
( ~ sQ278_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f2878]) ).
fof(f2881,plain,
( ~ sQ18_spl
| ~ sQ53_spl
| sQ137_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f2876,f2878,f624,f272,f150]) ).
fof(f2882,plain,
( ~ sQ53_spl
| sQ169_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f2877,f1775,f971,f272]) ).
fof(f2883,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ53_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1768,f151]) ).
fof(f2884,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1768,f65]) ).
fof(f2885,plain,
( ~ sQ18_spl
| ~ sQ53_spl
| sQ129_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f2883,f2878,f556,f272,f150]) ).
fof(f2886,plain,
( ~ sQ53_spl
| sQ174_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f2884,f1775,f1014,f272]) ).
fof(f2891,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2439,f65]) ).
fof(f2892,plain,
( ~ sQ114_spl
| sQ129_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2891,f2452,f556,f477]) ).
fof(f2893,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2440,f65]) ).
fof(f2894,plain,
( ~ sQ114_spl
| sQ148_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2893,f2452,f735,f477]) ).
fof(f2895,plain,
( ~ sQ105_spl
| ~ sQ243_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f450,f2401]) ).
fof(f2896,plain,
( ~ sQ105_spl
| ~ sQ243_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f2895]) ).
fof(f2900,plain,
( ~ sQ271_spl
| ~ sQ98_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f422,f2510]) ).
fof(f2901,plain,
( ~ sQ272_spl
| ~ sQ98_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f422,f2515]) ).
fof(f2903,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ98_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f422,f1768]) ).
fof(f2904,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ98_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f422,f1767]) ).
fof(f2905,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f422,f1859]) ).
fof(f2906,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f422,f1858]) ).
fof(f2914,plain,
( ~ sQ271_spl
| ~ sQ98_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f2900,f364,f421,f2509]) ).
fof(f2915,definition,
! [X0] :
( sQ279_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2916,plain,
! [X0] :
( ~ sQ279_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f2915]) ).
fof(f2918,plain,
( ~ sQ53_spl
| ~ sQ98_spl
| sQ144_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f2903,f2915,f689,f421,f272]) ).
fof(f2919,plain,
( ~ sQ53_spl
| ~ sQ98_spl
| sQ150_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f2904,f2915,f753,f421,f272]) ).
fof(f2920,definition,
! [X0] :
( sQ280_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2921,plain,
! [X0] :
( ~ sQ280_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f2920]) ).
fof(f2923,plain,
( ~ sQ98_spl
| sQ146_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f2905,f2920,f720,f421]) ).
fof(f2924,plain,
( ~ sQ98_spl
| sQ172_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f2906,f2920,f1007,f421]) ).
fof(f2927,plain,
! [X0] :
( ~ sQ280_spl
| ~ product(X0,e_2,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f2921]) ).
fof(f2932,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ49_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f255,f2440]) ).
fof(f2933,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ49_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f255,f2439]) ).
fof(f2934,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f255,f967]) ).
fof(f2935,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f255,f966]) ).
fof(f2943,plain,
( ~ sQ114_spl
| ~ sQ49_spl
| sQ164_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2932,f2442,f932,f254,f477]) ).
fof(f2944,plain,
( ~ sQ114_spl
| ~ sQ49_spl
| sQ130_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2933,f2442,f560,f254,f477]) ).
fof(f2945,definition,
! [X0] :
( sQ281_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2946,plain,
! [X0] :
( ~ sQ281_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2945]) ).
fof(f2948,plain,
( ~ sQ49_spl
| sQ162_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2934,f2945,f891,f254]) ).
fof(f2949,plain,
( ~ sQ49_spl
| sQ172_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2935,f2945,f1007,f254]) ).
fof(f2952,plain,
! [X0] :
( ~ sQ281_spl
| ~ product(X0,e_4,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f2946]) ).
fof(f2955,plain,
( ~ sQ274_spl
| ~ sQ71_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f331,f2801]) ).
fof(f2956,plain,
( ~ sQ275_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f331,f2806]) ).
fof(f2958,plain,
( ~ sQ262_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f331,f2414]) ).
fof(f2959,plain,
( ~ sQ263_spl
| ~ sQ71_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f331,f2419]) ).
fof(f2960,plain,
( ~ sQ258_spl
| ~ sQ71_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f331,f2381]) ).
fof(f2961,plain,
( ~ sQ261_spl
| ~ sQ71_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f331,f2396]) ).
fof(f2962,plain,
( ~ sQ256_spl
| ~ sQ71_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f331,f2351]) ).
fof(f2963,plain,
( ~ sQ257_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f331,f2356]) ).
fof(f2968,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f331,f1463]) ).
fof(f2969,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f331,f1462]) ).
fof(f2977,plain,
( ~ sQ275_spl
| ~ sQ71_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f2956,f272,f330,f2805]) ).
fof(f2978,plain,
( ~ sQ263_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2959,f65]) ).
fof(f2979,plain,
( ~ sQ263_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f2978]) ).
fof(f2984,definition,
! [X0] :
( sQ282_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2985,plain,
! [X0] :
( ~ sQ282_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f2984]) ).
fof(f2987,plain,
( ~ sQ71_spl
| sQ155_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f2968,f2984,f809,f330]) ).
fof(f2988,plain,
( ~ sQ71_spl
| sQ172_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f2969,f2984,f1007,f330]) ).
fof(f2991,plain,
! [X0] :
( ~ sQ282_spl
| ~ product(X0,e_3,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f2985]) ).
fof(f2992,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ119_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2343,f255]) ).
fof(f2993,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2343,f65]) ).
fof(f2994,plain,
( ~ sQ49_spl
| ~ sQ119_spl
| sQ133_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2992,f2345,f583,f493,f254]) ).
fof(f2995,plain,
( ~ sQ119_spl
| sQ132_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2993,f2355,f579,f493]) ).
fof(f2996,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ119_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2344,f255]) ).
fof(f2997,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2344,f65]) ).
fof(f2998,plain,
( ~ sQ49_spl
| ~ sQ119_spl
| sQ164_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2996,f2345,f932,f493,f254]) ).
fof(f2999,plain,
( ~ sQ119_spl
| sQ148_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2997,f2355,f735,f493]) ).
fof(f3000,plain,
( ~ sQ35_spl
| ~ sQ282_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f211,f2991]) ).
fof(f3001,plain,
( ~ sQ35_spl
| ~ sQ282_spl ),
inference(contradiction_clause,[status(thm)],[f3000]) ).
fof(f3012,plain,
( ~ sQ151_spl
| ~ sQ102_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f440,f773]) ).
fof(f3013,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ102_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f440,f1088]) ).
fof(f3014,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ102_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f440,f1087]) ).
fof(f3015,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ102_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f440,f552]) ).
fof(f3016,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ102_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f440,f551]) ).
fof(f3017,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f440,f64]) ).
fof(f3018,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f440,f62]) ).
fof(f3019,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f440,f60]) ).
fof(f3020,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f440,f71]) ).
fof(f3021,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f440,f70]) ).
fof(f3022,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f440,f69]) ).
fof(f3023,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f440,f67]) ).
fof(f3024,definition,
! [X0] :
( sQ283_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f3025,plain,
! [X0] :
( ~ sQ283_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f3024]) ).
fof(f3027,plain,
( ~ sQ42_spl
| ~ sQ102_spl
| sQ127_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f3013,f3024,f537,f439,f232]) ).
fof(f3028,plain,
( ~ sQ42_spl
| ~ sQ102_spl
| sQ132_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f3014,f3024,f579,f439,f232]) ).
fof(f3029,definition,
! [X0] :
( sQ284_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f3030,plain,
! [X0] :
( ~ sQ284_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f3029]) ).
fof(f3032,plain,
( ~ sQ22_spl
| ~ sQ102_spl
| sQ150_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f3015,f3029,f753,f439,f163]) ).
fof(f3033,plain,
( ~ sQ22_spl
| ~ sQ102_spl
| sQ148_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f3016,f3029,f735,f439,f163]) ).
fof(f3034,definition,
! [X0] :
( sQ285_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f3035,plain,
! [X0] :
( ~ sQ285_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f3034]) ).
fof(f3037,plain,
( ~ sQ102_spl
| sQ130_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f3020,f3034,f560,f439]) ).
fof(f3038,plain,
( ~ sQ102_spl
| sQ129_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f3021,f3034,f556,f439]) ).
fof(f3039,plain,
( ~ sQ49_spl
| ~ sQ285_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f3035,f255]) ).
fof(f3040,plain,
( ~ sQ49_spl
| ~ sQ284_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f3030,f255]) ).
fof(f3041,plain,
( ~ sQ49_spl
| ~ sQ283_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f3025,f255]) ).
fof(f3043,plain,
( ~ sQ28_spl
| ~ sQ35_spl
| ~ sQ205_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f188,f1487]) ).
fof(f3044,plain,
( ~ sQ28_spl
| ~ sQ35_spl
| ~ sQ205_spl ),
inference(contradiction_clause,[status(thm)],[f3043]) ).
fof(f3052,plain,
( ~ sQ267_spl
| ~ sQ22_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f164,f2472]) ).
fof(f3053,plain,
( ~ sQ270_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f2487]) ).
fof(f3054,plain,
( ~ sQ265_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f164,f2448]) ).
fof(f3055,plain,
( ~ sQ266_spl
| ~ sQ22_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f164,f2453]) ).
fof(f3056,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ22_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f164,f1088]) ).
fof(f3057,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ22_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f164,f1087]) ).
fof(f3058,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f164,f552]) ).
fof(f3059,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f164,f551]) ).
fof(f3067,plain,
( ~ sQ266_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3055,f65]) ).
fof(f3068,plain,
( ~ sQ266_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f3067]) ).
fof(f3069,plain,
( ~ sQ42_spl
| ~ sQ22_spl
| sQ126_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f3056,f1089,f533,f163,f232]) ).
fof(f3070,plain,
( ~ sQ42_spl
| ~ sQ22_spl
| sQ133_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f3057,f1089,f583,f163,f232]) ).
fof(f3071,definition,
! [X0] :
( sQ286_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f3072,plain,
! [X0] :
( ~ sQ286_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f3071]) ).
fof(f3074,plain,
( ~ sQ22_spl
| sQ139_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f3058,f3071,f646,f163]) ).
fof(f3075,plain,
( ~ sQ22_spl
| sQ172_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f3059,f3071,f1007,f163]) ).
fof(f3078,plain,
! [X0] :
( ~ sQ286_spl
| ~ product(X0,e_5,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f3072]) ).
fof(f3079,plain,
( ~ sQ75_spl
| ~ sQ286_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f3078]) ).
fof(f3080,plain,
( ~ sQ75_spl
| ~ sQ286_spl ),
inference(contradiction_clause,[status(thm)],[f3079]) ).
fof(f3081,plain,
( ~ sQ36_spl
| ~ sQ86_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f384,f1191]) ).
fof(f3082,plain,
( ~ sQ215_spl
| ~ sQ86_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f384,f1604]) ).
fof(f3083,plain,
( ~ sQ209_spl
| ~ sQ86_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f384,f1526]) ).
fof(f3084,plain,
( ~ sQ211_spl
| ~ sQ86_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f384,f1547]) ).
fof(f3085,plain,
( ~ sQ212_spl
| ~ sQ86_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f384,f1566]) ).
fof(f3086,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f384,f64]) ).
fof(f3087,plain,
( ~ sQ86_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f384,f79]) ).
fof(f3088,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f384,f62]) ).
fof(f3089,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f384,f60]) ).
fof(f3090,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f384,f71]) ).
fof(f3091,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f384,f70]) ).
fof(f3092,plain,
! [X0,X1,X2] :
( ~ sQ86_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f384,f69]) ).
fof(f3093,plain,
! [X0,X1,X2] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f384,f67]) ).
fof(f3094,plain,
( ~ sQ36_spl
| ~ sQ86_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f3081,f662,f383,f213]) ).
fof(f3095,plain,
( ~ sQ215_spl
| ~ sQ86_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f3082,f354,f383,f1603]) ).
fof(f3096,plain,
( ~ sQ86_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f3087,f834,f383]) ).
fof(f3097,definition,
! [X0] :
( sQ287_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f3098,plain,
! [X0] :
( ~ sQ287_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f3097]) ).
fof(f3100,plain,
( ~ sQ86_spl
| sQ146_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f3090,f3097,f720,f383]) ).
fof(f3101,plain,
( ~ sQ86_spl
| sQ158_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f3091,f3097,f834,f383]) ).
fof(f3106,plain,
( ~ sQ178_spl
| ~ sQ6_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f113,f1076]) ).
fof(f3107,plain,
( ~ sQ177_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f113,f1062]) ).
fof(f3113,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f113,f69]) ).
fof(f3114,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_5,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f113,f67]) ).
fof(f3115,plain,
( ~ sQ177_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3107,f65]) ).
fof(f3116,plain,
( ~ sQ177_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f3115]) ).
fof(f3119,plain,
( ~ sQ57_spl
| ~ sQ187_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f286,f1315]) ).
fof(f3120,plain,
( ~ sQ57_spl
| ~ sQ187_spl ),
inference(contradiction_clause,[status(thm)],[f3119]) ).
fof(f3121,plain,
( ~ sQ82_spl
| ~ sQ272_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f371,f2901]) ).
fof(f3122,plain,
( ~ sQ82_spl
| ~ sQ272_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f3121]) ).
fof(f3126,plain,
( ~ sQ247_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f233,f2157]) ).
fof(f3127,plain,
( ~ sQ244_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f233,f2130]) ).
fof(f3128,plain,
( ~ sQ245_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f233,f2135]) ).
fof(f3129,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f233,f1088]) ).
fof(f3130,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f233,f1087]) ).
fof(f3138,plain,
( ~ sQ247_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3126,f65]) ).
fof(f3139,plain,
( ~ sQ247_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f3138]) ).
fof(f3140,definition,
! [X0] :
( sQ288_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f3141,plain,
! [X0] :
( ~ sQ288_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f3140]) ).
fof(f3143,plain,
( ~ sQ42_spl
| sQ162_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f3129,f3140,f891,f232]) ).
fof(f3144,plain,
( ~ sQ42_spl
| sQ146_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f3130,f3140,f720,f232]) ).
fof(f3147,plain,
! [X0] :
( ~ sQ288_spl
| ~ product(X0,e_4,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f3141]) ).
fof(f3148,plain,
( ~ sQ6_spl
| ~ sQ288_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f113,f3147]) ).
fof(f3149,plain,
( ~ sQ6_spl
| ~ sQ288_spl ),
inference(contradiction_clause,[status(thm)],[f3148]) ).
fof(f3150,plain,
( ~ sQ11_spl
| ~ sQ226_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f129,f1794]) ).
fof(f3151,plain,
( ~ sQ11_spl
| ~ sQ226_spl ),
inference(contradiction_clause,[status(thm)],[f3150]) ).
fof(f3152,plain,
( ~ sQ40_spl
| ~ sQ280_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f227,f2927]) ).
fof(f3153,plain,
( ~ sQ40_spl
| ~ sQ280_spl ),
inference(contradiction_clause,[status(thm)],[f3152]) ).
fof(f3154,plain,
( ~ sQ262_spl
| ~ sQ71_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2958,f263,f330,f2413]) ).
fof(f3155,plain,
( ~ sQ274_spl
| ~ sQ71_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f2955,f282,f330,f2800]) ).
fof(f3156,plain,
( ~ sQ105_spl
| ~ sQ281_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f450,f2952]) ).
fof(f3157,plain,
( ~ sQ105_spl
| ~ sQ281_spl ),
inference(contradiction_clause,[status(thm)],[f3156]) ).
fof(f3158,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f434,f64]) ).
fof(f3159,plain,
( ~ sQ100_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f434,f79]) ).
fof(f3160,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f434,f62]) ).
fof(f3161,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f434,f60]) ).
fof(f3162,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f434,f71]) ).
fof(f3163,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f434,f70]) ).
fof(f3164,plain,
! [X0,X1,X2] :
( ~ sQ100_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f434,f69]) ).
fof(f3165,plain,
! [X0,X1,X2] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f434,f67]) ).
fof(f3166,plain,
( ~ sQ100_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f3159,f735,f433]) ).
fof(f3167,definition,
! [X0] :
( sQ289_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f3168,plain,
! [X0] :
( ~ sQ289_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f3167]) ).
fof(f3170,plain,
( ~ sQ100_spl
| sQ172_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f3162,f3167,f1007,f433]) ).
fof(f3171,plain,
( ~ sQ100_spl
| sQ148_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f3163,f3167,f735,f433]) ).
fof(f3172,plain,
( ~ sQ161_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f888,f65]) ).
fof(f3174,plain,
( ~ sQ287_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f3098,f65]) ).
fof(f3179,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f528,f65]) ).
fof(f3180,plain,
( ~ sQ23_spl
| sQ164_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f3179,f530,f932,f166]) ).
fof(f3181,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f529,f65]) ).
fof(f3182,plain,
( ~ sQ23_spl
| sQ169_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f3181,f530,f971,f166]) ).
fof(f3187,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1889,f65]) ).
fof(f3188,plain,
( ~ sQ97_spl
| sQ134_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f3187,f1902,f603,f418]) ).
fof(f3189,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1890,f65]) ).
fof(f3190,plain,
( ~ sQ97_spl
| sQ158_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f3189,f1902,f834,f418]) ).
fof(f3193,plain,
( ~ sQ239_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f1976,f65]) ).
fof(f3196,plain,
( ~ sQ289_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f3168,f65]) ).
fof(f3219,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f678,f65]) ).
fof(f3220,plain,
( ~ sQ17_spl
| sQ136_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f3219,f685,f617,f147]) ).
fof(f3221,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f677,f65]) ).
fof(f3222,plain,
( ~ sQ17_spl
| sQ158_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f3221,f685,f834,f147]) ).
fof(f3223,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2148,f65]) ).
fof(f3224,plain,
( ~ sQ88_spl
| sQ174_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f3223,f2156,f1014,f389]) ).
fof(f3225,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2149,f65]) ).
fof(f3226,plain,
( ~ sQ88_spl
| sQ167_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f3225,f2156,f951,f389]) ).
fof(f3227,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1001,f65]) ).
fof(f3228,plain,
( ~ sQ47_spl
| sQ153_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f3227,f1011,f788,f248]) ).
fof(f3229,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1000,f65]) ).
fof(f3230,plain,
( ~ sQ47_spl
| sQ134_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f3229,f1011,f603,f248]) ).
fof(f3231,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1730,f65]) ).
fof(f3232,plain,
( ~ sQ59_spl
| sQ126_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f3231,f1732,f533,f291]) ).
fof(f3233,plain,
( ~ sQ57_spl
| ~ sQ256_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f286,f2962]) ).
fof(f3234,plain,
( ~ sQ57_spl
| ~ sQ256_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f3233]) ).
fof(f3237,plain,
( ~ sQ138_spl
| ~ sQ76_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f352,f644]) ).
fof(f3238,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ76_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f352,f3114]) ).
fof(f3239,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ76_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f352,f1463]) ).
fof(f3240,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ76_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f352,f1462]) ).
fof(f3241,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f352,f64]) ).
fof(f3242,plain,
( ~ sQ76_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f352,f79]) ).
fof(f3243,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f352,f62]) ).
fof(f3244,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f352,f60]) ).
fof(f3245,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f352,f71]) ).
fof(f3246,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f352,f70]) ).
fof(f3247,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f352,f69]) ).
fof(f3248,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f352,f67]) ).
fof(f3249,definition,
! [X0] :
( sQ290_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f3250,plain,
! [X0] :
( ~ sQ290_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f3249]) ).
fof(f3252,plain,
( ~ sQ6_spl
| ~ sQ76_spl
| sQ137_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f3238,f3249,f624,f351,f112]) ).
fof(f3253,definition,
! [X0] :
( sQ291_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f3254,plain,
! [X0] :
( ~ sQ291_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f3253]) ).
fof(f3256,plain,
( ~ sQ71_spl
| ~ sQ76_spl
| sQ144_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f3239,f3253,f689,f351,f330]) ).
fof(f3257,plain,
( ~ sQ71_spl
| ~ sQ76_spl
| sQ148_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f3240,f3253,f735,f351,f330]) ).
fof(f3258,plain,
( ~ sQ76_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f3242,f579,f351]) ).
fof(f3259,definition,
! [X0] :
( sQ292_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f3260,plain,
! [X0] :
( ~ sQ292_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f3259]) ).
fof(f3262,plain,
( ~ sQ76_spl
| sQ146_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f3245,f3259,f720,f351]) ).
fof(f3263,plain,
( ~ sQ76_spl
| sQ132_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f3246,f3259,f579,f351]) ).
fof(f3264,plain,
( ~ sQ197_spl
| ~ sQ81_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f368,f1363]) ).
fof(f3265,plain,
( ~ sQ178_spl
| ~ sQ81_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f368,f1076]) ).
fof(f3266,plain,
( ~ sQ179_spl
| ~ sQ81_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f368,f1090]) ).
fof(f3267,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ81_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f368,f3114]) ).
fof(f3268,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ81_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f368,f1463]) ).
fof(f3269,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ81_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f368,f1462]) ).
fof(f3270,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f368,f64]) ).
fof(f3271,plain,
( ~ sQ81_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f368,f79]) ).
fof(f3272,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f368,f62]) ).
fof(f3273,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f368,f60]) ).
fof(f3274,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f368,f71]) ).
fof(f3275,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f368,f70]) ).
fof(f3276,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f368,f69]) ).
fof(f3277,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f368,f67]) ).
fof(f3278,plain,
( ~ sQ179_spl
| ~ sQ81_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f3266,f348,f367,f1089]) ).
fof(f3279,definition,
! [X0] :
( sQ293_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f3280,plain,
! [X0] :
( ~ sQ293_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f3279]) ).
fof(f3282,plain,
( ~ sQ6_spl
| ~ sQ81_spl
| sQ137_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f3267,f3279,f624,f367,f112]) ).
fof(f3283,definition,
! [X0] :
( sQ294_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f3284,plain,
! [X0] :
( ~ sQ294_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f3283]) ).
fof(f3286,plain,
( ~ sQ71_spl
| ~ sQ81_spl
| sQ144_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f3268,f3283,f689,f367,f330]) ).
fof(f3287,plain,
( ~ sQ71_spl
| ~ sQ81_spl
| sQ164_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f3269,f3283,f932,f367,f330]) ).
fof(f3288,plain,
( ~ sQ81_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f3271,f951,f367]) ).
fof(f3289,definition,
! [X0] :
( sQ295_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f3290,plain,
! [X0] :
( ~ sQ295_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f3289]) ).
fof(f3292,plain,
( ~ sQ81_spl
| sQ146_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f3274,f3289,f720,f367]) ).
fof(f3293,plain,
( ~ sQ81_spl
| sQ167_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f3275,f3289,f951,f367]) ).
fof(f3294,plain,
( ~ sQ151_spl
| ~ sQ27_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f185,f773]) ).
fof(f3295,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ27_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f185,f1000]) ).
fof(f3296,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ27_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f185,f1001]) ).
fof(f3297,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ27_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f185,f677]) ).
fof(f3298,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ27_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f185,f678]) ).
fof(f3299,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ27_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f185,f1890]) ).
fof(f3300,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ27_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f185,f1889]) ).
fof(f3301,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f185,f64]) ).
fof(f3302,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f185,f62]) ).
fof(f3303,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f185,f60]) ).
fof(f3304,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f185,f71]) ).
fof(f3305,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f185,f70]) ).
fof(f3306,plain,
! [X0,X1,X2] :
( ~ sQ27_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f185,f69]) ).
fof(f3307,plain,
! [X0,X1,X2] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f185,f67]) ).
fof(f3308,definition,
! [X0] :
( sQ296_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f3309,plain,
! [X0] :
( ~ sQ296_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f3308]) ).
fof(f3311,plain,
( ~ sQ47_spl
| ~ sQ27_spl
| sQ148_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f3295,f3308,f735,f184,f248]) ).
fof(f3312,plain,
( ~ sQ47_spl
| ~ sQ27_spl
| sQ162_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f3296,f3308,f891,f184,f248]) ).
fof(f3313,definition,
! [X0] :
( sQ297_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f3314,plain,
! [X0] :
( ~ sQ297_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f3313]) ).
fof(f3316,plain,
( ~ sQ17_spl
| ~ sQ27_spl
| sQ132_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f3297,f3313,f579,f184,f147]) ).
fof(f3317,plain,
( ~ sQ17_spl
| ~ sQ27_spl
| sQ169_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f3298,f3313,f971,f184,f147]) ).
fof(f3318,definition,
! [X0] :
( sQ298_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f3319,plain,
! [X0] :
( ~ sQ298_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f3318]) ).
fof(f3321,plain,
( ~ sQ97_spl
| ~ sQ27_spl
| sQ167_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3299,f3318,f951,f184,f418]) ).
fof(f3322,plain,
( ~ sQ97_spl
| ~ sQ27_spl
| sQ148_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3300,f3318,f735,f184,f418]) ).
fof(f3323,definition,
! [X0] :
( sQ299_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f3324,plain,
! [X0] :
( ~ sQ299_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f3323]) ).
fof(f3326,plain,
( ~ sQ27_spl
| sQ174_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3304,f3323,f1014,f184]) ).
fof(f3327,plain,
( ~ sQ27_spl
| sQ129_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f3305,f3323,f556,f184]) ).
fof(f3328,plain,
( ~ sQ244_spl
| ~ sQ117_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f2402,f455,f487,f2129]) ).
fof(f3330,plain,
( ~ sQ292_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f3260,f65]) ).
fof(f3334,plain,
( ~ sQ295_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f3290,f65]) ).
fof(f3336,plain,
( ~ sQ299_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f3324,f65]) ).
fof(f3358,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2507,f65]) ).
fof(f3359,plain,
( ~ sQ109_spl
| sQ126_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f3358,f2519,f533,f461]) ).
fof(f3360,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2508,f65]) ).
fof(f3361,plain,
( ~ sQ109_spl
| sQ148_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f3360,f2519,f735,f461]) ).
fof(f3365,plain,
( ~ sQ272_spl
| ~ sQ23_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f167,f2515]) ).
fof(f3366,plain,
( ~ sQ273_spl
| ~ sQ23_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f167,f2520]) ).
fof(f3367,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f167,f528]) ).
fof(f3368,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f167,f529]) ).
fof(f3369,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ23_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f167,f1538]) ).
fof(f3370,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ23_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f167,f1539]) ).
fof(f3378,plain,
( ~ sQ273_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3366,f65]) ).
fof(f3379,plain,
( ~ sQ273_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f3378]) ).
fof(f3380,plain,
( ~ sQ23_spl
| sQ172_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f3367,f3071,f1007,f166]) ).
fof(f3381,plain,
( ~ sQ23_spl
| sQ139_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f3368,f3071,f646,f166]) ).
fof(f3382,plain,
( ~ sQ68_spl
| ~ sQ23_spl
| sQ133_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f3369,f1570,f583,f166,f320]) ).
fof(f3383,plain,
( ~ sQ68_spl
| ~ sQ23_spl
| sQ129_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f3370,f1570,f556,f166,f320]) ).
fof(f3386,plain,
( ~ sQ267_spl
| ~ sQ22_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3052,f128,f163,f2471]) ).
fof(f3387,plain,
( ~ sQ248_spl
| ~ sQ18_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2706,f109,f150,f2179]) ).
fof(f3388,plain,
( ~ sQ65_spl
| ~ sQ237_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1950,f279,f1938,f311]) ).
fof(f3389,plain,
( ~ sQ59_spl
| ~ sQ299_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f3336]) ).
fof(f3390,plain,
( ~ sQ59_spl
| ~ sQ299_spl ),
inference(contradiction_clause,[status(thm)],[f3389]) ).
fof(f3417,plain,
( ~ sQ138_spl
| ~ sQ101_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f437,f644]) ).
fof(f3418,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ101_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f437,f1463]) ).
fof(f3419,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ101_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f437,f1462]) ).
fof(f3420,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ101_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f437,f823]) ).
fof(f3421,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ101_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f437,f822]) ).
fof(f3422,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f437,f64]) ).
fof(f3423,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f437,f62]) ).
fof(f3424,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f437,f60]) ).
fof(f3425,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f437,f71]) ).
fof(f3426,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f437,f70]) ).
fof(f3427,plain,
! [X0,X1,X2] :
( ~ sQ101_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f437,f69]) ).
fof(f3428,plain,
! [X0,X1,X2] :
( ~ sQ101_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f437,f67]) ).
fof(f3429,definition,
! [X0] :
( sQ300_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f3430,plain,
! [X0] :
( ~ sQ300_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f3429]) ).
fof(f3432,plain,
( ~ sQ71_spl
| ~ sQ101_spl
| sQ130_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f3418,f3429,f560,f436,f330]) ).
fof(f3433,plain,
( ~ sQ71_spl
| ~ sQ101_spl
| sQ148_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f3419,f3429,f735,f436,f330]) ).
fof(f3434,definition,
! [X0] :
( sQ301_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f3435,plain,
! [X0] :
( ~ sQ301_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f3434]) ).
fof(f3437,plain,
( ~ sQ11_spl
| ~ sQ101_spl
| sQ150_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3420,f3434,f753,f436,f128]) ).
fof(f3438,plain,
( ~ sQ11_spl
| ~ sQ101_spl
| sQ129_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3421,f3434,f556,f436,f128]) ).
fof(f3439,definition,
! [X0] :
( sQ302_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f3440,plain,
! [X0] :
( ~ sQ302_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f3439]) ).
fof(f3442,plain,
( ~ sQ101_spl
| sQ133_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3425,f3439,f583,f436]) ).
fof(f3443,plain,
( ~ sQ101_spl
| sQ132_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3426,f3439,f579,f436]) ).
fof(f3445,plain,
( ~ sQ163_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f929,f65]) ).
fof(f3459,plain,
( ~ sQ175_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1030,f65]) ).
fof(f3464,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2121,f65]) ).
fof(f3465,plain,
( ~ sQ89_spl
| sQ129_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f3464,f2134,f556,f392]) ).
fof(f3466,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2122,f65]) ).
fof(f3467,plain,
( ~ sQ89_spl
| sQ132_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f3466,f2134,f579,f392]) ).
fof(f3472,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3022,f65]) ).
fof(f3473,plain,
( ~ sQ102_spl
| sQ136_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f3472,f3034,f617,f439]) ).
fof(f3474,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3023,f65]) ).
fof(f3475,plain,
( ~ sQ102_spl
| sQ134_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f3474,f3034,f603,f439]) ).
fof(f3480,plain,
( ~ sQ186_spl
| ~ sQ82_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f371,f1177]) ).
fof(f3481,plain,
( ~ sQ196_spl
| ~ sQ82_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f371,f1353]) ).
fof(f3482,plain,
( ~ sQ184_spl
| ~ sQ82_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f371,f1146]) ).
fof(f3483,plain,
( ~ sQ185_spl
| ~ sQ82_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f371,f1160]) ).
fof(f3484,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ82_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f371,f3023]) ).
fof(f3485,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ82_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f371,f3022]) ).
fof(f3486,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ82_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f371,f551]) ).
fof(f3487,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ82_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f371,f552]) ).
fof(f3488,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f371,f64]) ).
fof(f3489,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f371,f62]) ).
fof(f3490,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f371,f60]) ).
fof(f3491,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f371,f71]) ).
fof(f3492,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f371,f70]) ).
fof(f3493,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f371,f69]) ).
fof(f3494,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f371,f67]) ).
fof(f3495,definition,
! [X0] :
( sQ303_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f3496,plain,
! [X0] :
( ~ sQ303_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f3495]) ).
fof(f3498,plain,
( ~ sQ102_spl
| ~ sQ82_spl
| sQ135_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f3484,f3495,f610,f370,f439]) ).
fof(f3499,plain,
( ~ sQ102_spl
| ~ sQ82_spl
| sQ169_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f3485,f3495,f971,f370,f439]) ).
fof(f3500,definition,
! [X0] :
( sQ304_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f3501,plain,
! [X0] :
( ~ sQ304_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f3500]) ).
fof(f3503,plain,
( ~ sQ22_spl
| ~ sQ82_spl
| sQ164_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3486,f3500,f932,f370,f163]) ).
fof(f3504,plain,
( ~ sQ22_spl
| ~ sQ82_spl
| sQ137_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3487,f3500,f624,f370,f163]) ).
fof(f3505,definition,
! [X0] :
( sQ305_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f3506,plain,
! [X0] :
( ~ sQ305_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f3505]) ).
fof(f3508,plain,
( ~ sQ82_spl
| sQ144_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f3491,f3505,f689,f370]) ).
fof(f3509,plain,
( ~ sQ82_spl
| sQ174_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f3492,f3505,f1014,f370]) ).
fof(f3513,plain,
( ~ sQ217_spl
| ~ sQ11_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f129,f1614]) ).
fof(f3515,plain,
( ~ sQ213_spl
| ~ sQ11_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f129,f1571]) ).
fof(f3516,plain,
( ~ sQ216_spl
| ~ sQ11_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f129,f1609]) ).
fof(f3517,plain,
( ~ sQ212_spl
| ~ sQ11_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f129,f1566]) ).
fof(f3518,plain,
( ~ sQ211_spl
| ~ sQ11_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f129,f1547]) ).
fof(f3519,plain,
( ~ sQ209_spl
| ~ sQ11_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f129,f1526]) ).
fof(f3520,plain,
( ~ sQ219_spl
| ~ sQ11_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f129,f1637]) ).
fof(f3521,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ11_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f129,f1463]) ).
fof(f3522,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ11_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f129,f1462]) ).
fof(f3523,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f129,f823]) ).
fof(f3524,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f129,f822]) ).
fof(f3532,plain,
( ~ sQ217_spl
| ~ sQ11_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3513,f109,f128,f1613]) ).
fof(f3533,plain,
( ~ sQ209_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3519,f65]) ).
fof(f3534,plain,
( ~ sQ209_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f3533]) ).
fof(f3535,plain,
( ~ sQ71_spl
| ~ sQ11_spl
| sQ129_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f3521,f1465,f556,f128,f330]) ).
fof(f3536,plain,
( ~ sQ71_spl
| ~ sQ11_spl
| sQ134_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f3522,f1465,f603,f128,f330]) ).
fof(f3537,plain,
( ~ sQ11_spl
| sQ139_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f3523,f858,f646,f128]) ).
fof(f3538,plain,
( ~ sQ11_spl
| sQ155_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f3524,f858,f809,f128]) ).
fof(f3541,plain,
( ~ sQ65_spl
| ~ sQ227_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1847,f285,f1836,f311]) ).
fof(f3554,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2469,f65]) ).
fof(f3555,plain,
( ~ sQ113_spl
| sQ174_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f3554,f2486,f1014,f474]) ).
fof(f3556,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2470,f65]) ).
fof(f3557,plain,
( ~ sQ113_spl
| sQ164_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f3556,f2486,f932,f474]) ).
fof(f3558,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3493,f65]) ).
fof(f3559,plain,
( ~ sQ82_spl
| sQ153_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f3558,f3505,f788,f370]) ).
fof(f3560,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3494,f65]) ).
fof(f3561,plain,
( ~ sQ82_spl
| sQ158_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f3560,f3505,f834,f370]) ).
fof(f3562,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ101_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3427,f129]) ).
fof(f3563,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3427,f65]) ).
fof(f3564,plain,
( ~ sQ11_spl
| ~ sQ101_spl
| sQ136_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3562,f3434,f617,f436,f128]) ).
fof(f3565,plain,
( ~ sQ101_spl
| sQ137_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3563,f3439,f624,f436]) ).
fof(f3566,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ101_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3428,f129]) ).
fof(f3567,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3428,f65]) ).
fof(f3568,plain,
( ~ sQ11_spl
| ~ sQ101_spl
| sQ148_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3566,f3434,f735,f436,f128]) ).
fof(f3569,plain,
( ~ sQ101_spl
| sQ135_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f3567,f3439,f610,f436]) ).
fof(f3573,plain,
( ~ sQ53_spl
| ~ sQ28_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f188,f1762]) ).
fof(f3574,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ28_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f188,f2470]) ).
fof(f3575,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ28_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f188,f2469]) ).
fof(f3576,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ28_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f188,f1768]) ).
fof(f3577,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ28_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f188,f1767]) ).
fof(f3578,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ28_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f188,f1858]) ).
fof(f3579,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ28_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f188,f1859]) ).
fof(f3580,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f188,f64]) ).
fof(f3581,plain,
( ~ sQ28_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f188,f79]) ).
fof(f3582,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f188,f62]) ).
fof(f3583,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f188,f60]) ).
fof(f3584,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f188,f71]) ).
fof(f3585,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f188,f70]) ).
fof(f3586,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f188,f69]) ).
fof(f3587,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f188,f67]) ).
fof(f3588,plain,
( ~ sQ53_spl
| ~ sQ28_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f3573,f1014,f187,f272]) ).
fof(f3589,definition,
! [X0] :
( sQ306_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f3590,plain,
! [X0] :
( ~ sQ306_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f3589]) ).
fof(f3592,plain,
( ~ sQ113_spl
| ~ sQ28_spl
| sQ164_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f3574,f3589,f932,f187,f474]) ).
fof(f3593,plain,
( ~ sQ113_spl
| ~ sQ28_spl
| sQ129_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f3575,f3589,f556,f187,f474]) ).
fof(f3594,definition,
! [X0] :
( sQ307_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f3595,plain,
! [X0] :
( ~ sQ307_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f3594]) ).
fof(f3597,plain,
( ~ sQ53_spl
| ~ sQ28_spl
| sQ174_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f3576,f3594,f1014,f187,f272]) ).
fof(f3598,plain,
( ~ sQ53_spl
| ~ sQ28_spl
| sQ139_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f3577,f3594,f646,f187,f272]) ).
fof(f3599,plain,
( ~ sQ98_spl
| ~ sQ28_spl
| sQ148_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3578,f3318,f735,f187,f421]) ).
fof(f3600,plain,
( ~ sQ98_spl
| ~ sQ28_spl
| sQ167_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f3579,f3318,f951,f187,f421]) ).
fof(f3601,plain,
( ~ sQ28_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f3581,f533,f187]) ).
fof(f3602,definition,
! [X0] :
( sQ308_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f3603,plain,
! [X0] :
( ~ sQ308_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f3602]) ).
fof(f3605,plain,
( ~ sQ28_spl
| sQ162_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f3584,f3602,f891,f187]) ).
fof(f3606,plain,
( ~ sQ28_spl
| sQ126_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f3585,f3602,f533,f187]) ).
fof(f3607,plain,
( ~ sQ6_spl
| ~ sQ212_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f113,f3517]) ).
fof(f3608,plain,
( ~ sQ6_spl
| ~ sQ212_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f3607]) ).
fof(f3609,plain,
( ~ sQ75_spl
| ~ sQ186_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f3480]) ).
fof(f3610,plain,
( ~ sQ75_spl
| ~ sQ186_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f3609]) ).
fof(f3611,plain,
( ~ sQ25_spl
| ~ sQ49_spl
| ~ sQ284_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f179,f3040]) ).
fof(f3612,plain,
( ~ sQ25_spl
| ~ sQ49_spl
| ~ sQ284_spl ),
inference(contradiction_clause,[status(thm)],[f3611]) ).
fof(f3613,plain,
( ~ sQ35_spl
| ~ sQ202_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f1448,f178,f1436,f210]) ).
fof(f3616,plain,
( ~ sQ264_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f164,f2443]) ).
fof(f3618,plain,
( ~ sQ269_spl
| ~ sQ22_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f164,f2482]) ).
fof(f3619,plain,
( ~ sQ270_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f2487]) ).
fof(f3640,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ98_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f422,f2470]) ).
fof(f3641,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ98_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f422,f2469]) ).
fof(f3653,plain,
( ~ sQ113_spl
| ~ sQ98_spl
| sQ135_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f3640,f2481,f610,f421,f474]) ).
fof(f3654,plain,
( ~ sQ113_spl
| ~ sQ98_spl
| sQ130_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f3641,f2481,f560,f421,f474]) ).
fof(f3663,plain,
( ~ sQ304_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f151,f3501]) ).
fof(f3664,plain,
( ~ sQ305_spl
| ~ sQ18_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f151,f3506]) ).
fof(f3666,plain,
( ~ sQ294_spl
| ~ sQ18_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f151,f3284]) ).
fof(f3667,plain,
( ~ sQ293_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f151,f3280]) ).
fof(f3668,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ18_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f151,f2470]) ).
fof(f3669,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ18_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f151,f2469]) ).
fof(f3681,plain,
( ~ sQ113_spl
| ~ sQ18_spl
| sQ148_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f3668,f2476,f735,f150,f474]) ).
fof(f3682,plain,
( ~ sQ113_spl
| ~ sQ18_spl
| sQ144_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f3669,f2476,f689,f150,f474]) ).
fof(f3691,plain,
( ~ sQ303_spl
| ~ sQ49_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f255,f3496]) ).
fof(f3693,plain,
( ~ sQ300_spl
| ~ sQ49_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f255,f3430]) ).
fof(f3694,plain,
( ~ sQ301_spl
| ~ sQ49_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f255,f3435]) ).
fof(f3695,plain,
( ~ sQ302_spl
| ~ sQ49_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f255,f3440]) ).
fof(f3696,plain,
( ~ sQ283_spl
| ~ sQ49_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f255,f3025]) ).
fof(f3697,plain,
( ~ sQ285_spl
| ~ sQ49_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f255,f3035]) ).
fof(f3698,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ49_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f255,f2122]) ).
fof(f3699,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ49_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f255,f2121]) ).
fof(f3711,plain,
( ~ sQ300_spl
| ~ sQ49_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3693,f210,f254,f3429]) ).
fof(f3712,plain,
( ~ sQ89_spl
| ~ sQ49_spl
| sQ167_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f3698,f2124,f951,f254,f392]) ).
fof(f3713,plain,
( ~ sQ89_spl
| ~ sQ49_spl
| sQ130_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f3699,f2124,f560,f254,f392]) ).
fof(f3723,plain,
( ~ sQ255_spl
| ~ sQ71_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f331,f2346]) ).
fof(f3724,plain,
( ~ sQ260_spl
| ~ sQ71_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f331,f2391]) ).
fof(f3727,plain,
( ~ sQ257_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f331,f2356]) ).
fof(f3739,plain,
( ~ sQ260_spl
| ~ sQ71_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f3724,f311,f330,f2390]) ).
fof(f3746,plain,
( ~ sQ308_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f3603,f65]) ).
fof(f3747,plain,
( ~ sQ22_spl
| ~ sQ306_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f3590,f164]) ).
fof(f3750,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ59_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1731,f255]) ).
fof(f3751,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1731,f65]) ).
fof(f3752,definition,
! [X0] :
( sQ309_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f3753,plain,
! [X0] :
( ~ sQ309_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f3752]) ).
fof(f3755,plain,
( ~ sQ49_spl
| ~ sQ59_spl
| sQ174_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f3750,f3752,f1014,f291,f254]) ).
fof(f3756,plain,
( ~ sQ59_spl
| sQ129_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f3751,f1732,f556,f291]) ).
fof(f3757,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ59_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1730,f255]) ).
fof(f3759,plain,
( ~ sQ49_spl
| ~ sQ59_spl
| sQ127_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f3757,f3752,f537,f291,f254]) ).
fof(f3762,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ6_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f3114,f129]) ).
fof(f3765,definition,
! [X0] :
( sQ310_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f3766,plain,
! [X0] :
( ~ sQ310_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f3765]) ).
fof(f3768,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sQ139_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f3762,f3765,f646,f112,f128]) ).
fof(f3777,plain,
( ~ sQ18_spl
| ~ sQ249_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f2185,f151]) ).
fof(f3779,plain,
( ~ sQ11_spl
| ~ sQ219_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f1637,f129]) ).
fof(f3780,plain,
( ~ sQ71_spl
| ~ sQ259_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f2386,f331]) ).
fof(f3781,plain,
( ~ sQ22_spl
| ~ sQ268_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f2477,f164]) ).
fof(f3798,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f910,f129]) ).
fof(f3799,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f3798,f788,f112,f128]) ).
fof(f3800,plain,
( ~ sQ5_spl
| ~ sQ264_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f110,f3616]) ).
fof(f3801,plain,
( ~ sQ5_spl
| ~ sQ264_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f3800]) ).
fof(f3802,plain,
( ~ sQ104_spl
| ~ sQ222_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f446,f2457]) ).
fof(f3803,plain,
( ~ sQ104_spl
| ~ sQ222_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f3802]) ).
fof(f3804,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ82_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3493,f164]) ).
fof(f3806,plain,
( ~ sQ22_spl
| ~ sQ82_spl
| sQ127_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3804,f3500,f537,f370,f163]) ).
fof(f3808,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ82_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3494,f164]) ).
fof(f3810,plain,
( ~ sQ22_spl
| ~ sQ82_spl
| sQ132_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3808,f3500,f579,f370,f163]) ).
fof(f3821,plain,
( ~ sQ198_spl
| ~ sQ35_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f211,f1389]) ).
fof(f3822,plain,
( ~ sQ224_spl
| ~ sQ35_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f211,f1771]) ).
fof(f3823,plain,
( ~ sQ210_spl
| ~ sQ35_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f211,f1542]) ).
fof(f3825,plain,
( ~ sQ204_spl
| ~ sQ35_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f211,f1466]) ).
fof(f3826,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ35_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f211,f924]) ).
fof(f3827,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ35_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f211,f925]) ).
fof(f3828,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f211,f1216]) ).
fof(f3830,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ35_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f211,f1634]) ).
fof(f3831,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ35_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f211,f1633]) ).
fof(f3839,definition,
! [X0] :
( sQ311_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f3840,plain,
! [X0] :
( ~ sQ311_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f3839]) ).
fof(f3842,plain,
( ~ sQ5_spl
| ~ sQ35_spl
| sQ153_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3826,f3839,f788,f210,f109]) ).
fof(f3843,plain,
( ~ sQ5_spl
| ~ sQ35_spl
| sQ169_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3827,f3839,f971,f210,f109]) ).
fof(f3844,plain,
( ~ sQ35_spl
| sQ162_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f3828,f1330,f891,f210]) ).
fof(f3846,definition,
! [X0] :
( sQ312_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f3847,plain,
! [X0] :
( ~ sQ312_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f3846]) ).
fof(f3849,plain,
( ~ sQ65_spl
| ~ sQ35_spl
| sQ174_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f3830,f3846,f1014,f210,f311]) ).
fof(f3850,plain,
( ~ sQ65_spl
| ~ sQ35_spl
| sQ158_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f3831,f3846,f834,f210,f311]) ).
fof(f3853,plain,
( ~ sQ11_spl
| ~ sQ312_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f3847,f129]) ).
fof(f3857,plain,
( ~ sQ291_spl
| ~ sQ119_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f494,f3254]) ).
fof(f3858,plain,
( ~ sQ290_spl
| ~ sQ119_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f494,f3250]) ).
fof(f3859,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ119_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f494,f1730]) ).
fof(f3860,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ119_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f494,f1731]) ).
fof(f3861,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ119_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f494,f2122]) ).
fof(f3862,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ119_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f494,f2121]) ).
fof(f3863,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f494,f2344]) ).
fof(f3864,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f494,f2343]) ).
fof(f3874,definition,
! [X0] :
( sQ313_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f3875,plain,
! [X0] :
( ~ sQ313_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f3874]) ).
fof(f3877,plain,
( ~ sQ59_spl
| ~ sQ119_spl
| sQ141_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f3859,f3874,f662,f493,f291]) ).
fof(f3878,plain,
( ~ sQ59_spl
| ~ sQ119_spl
| sQ130_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f3860,f3874,f560,f493,f291]) ).
fof(f3879,definition,
! [X0] :
( sQ314_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f3880,plain,
! [X0] :
( ~ sQ314_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f3879]) ).
fof(f3882,plain,
( ~ sQ89_spl
| ~ sQ119_spl
| sQ133_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f3861,f3879,f583,f493,f392]) ).
fof(f3883,plain,
( ~ sQ89_spl
| ~ sQ119_spl
| sQ144_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f3862,f3879,f689,f493,f392]) ).
fof(f3884,definition,
! [X0] :
( sQ315_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f3885,plain,
! [X0] :
( ~ sQ315_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f3884]) ).
fof(f3887,plain,
( ~ sQ119_spl
| sQ172_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f3863,f3884,f1007,f493]) ).
fof(f3888,plain,
( ~ sQ119_spl
| sQ146_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f3864,f3884,f720,f493]) ).
fof(f3893,plain,
! [X0] :
( ~ sQ315_spl
| ~ product(X0,e_1,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f3885]) ).
fof(f3894,plain,
( ~ sQ269_spl
| ~ sQ22_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f3618,f141,f163,f2481]) ).
fof(f3895,plain,
( ~ sQ51_spl
| ~ sQ71_spl
| ~ sQ259_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f267,f3780]) ).
fof(f3896,plain,
( ~ sQ51_spl
| ~ sQ71_spl
| ~ sQ259_spl ),
inference(contradiction_clause,[status(thm)],[f3895]) ).
fof(f3897,plain,
( ~ sQ55_spl
| ~ sQ255_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f280,f3723]) ).
fof(f3898,plain,
( ~ sQ55_spl
| ~ sQ255_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f3897]) ).
fof(f3899,plain,
( ~ sQ71_spl
| ~ sQ315_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f331,f3893]) ).
fof(f3900,plain,
( ~ sQ71_spl
| ~ sQ315_spl ),
inference(contradiction_clause,[status(thm)],[f3899]) ).
fof(f3906,plain,
( ~ sQ98_spl
| ~ sQ273_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f2520,f422]) ).
fof(f3909,plain,
( ~ sQ239_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f1976,f65]) ).
fof(f3920,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2376,f65]) ).
fof(f3922,plain,
( ~ sQ118_spl
| sQ167_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f3920,f2395,f951,f490]) ).
fof(f3924,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2377,f65]) ).
fof(f3926,plain,
( ~ sQ118_spl
| sQ164_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f3924,f2395,f932,f490]) ).
fof(f3927,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1196,f65]) ).
fof(f3928,plain,
( ~ sQ36_spl
| sQ144_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f3927,f1205,f689,f213]) ).
fof(f3929,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1197,f65]) ).
fof(f3930,plain,
( ~ sQ36_spl
| sQ141_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f3929,f1205,f662,f213]) ).
fof(f3931,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ69_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1523,f255]) ).
fof(f3933,plain,
( ~ sQ49_spl
| ~ sQ69_spl
| sQ133_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f3931,f1613,f583,f323,f254]) ).
fof(f3935,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ69_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1524,f255]) ).
fof(f3937,plain,
( ~ sQ49_spl
| ~ sQ69_spl
| sQ174_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f3935,f1613,f1014,f323,f254]) ).
fof(f3939,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f782,f422]) ).
fof(f3940,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f782,f65]) ).
fof(f3941,plain,
( ~ sQ98_spl
| ~ sQ13_spl
| sQ130_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f3939,f1928,f560,f134,f421]) ).
fof(f3942,plain,
( ~ sQ13_spl
| sQ174_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f3940,f784,f1014,f134]) ).
fof(f3943,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f783,f422]) ).
fof(f3944,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f783,f65]) ).
fof(f3945,plain,
( ~ sQ98_spl
| ~ sQ13_spl
| sQ137_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f3943,f1928,f624,f134,f421]) ).
fof(f3946,plain,
( ~ sQ13_spl
| sQ169_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f3944,f784,f971,f134]) ).
fof(f3947,plain,
( ~ sQ276_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f2814,f65]) ).
fof(f3950,plain,
( ~ sQ278_spl
| ~ sQ89_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f393,f2879]) ).
fof(f3951,plain,
( ~ sQ307_spl
| ~ sQ89_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f393,f3595]) ).
fof(f3955,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ89_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f393,f1524]) ).
fof(f3956,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ89_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f393,f1523]) ).
fof(f3957,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f393,f2122]) ).
fof(f3958,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f393,f2121]) ).
fof(f3968,definition,
! [X0] :
( sQ316_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f3969,plain,
! [X0] :
( ~ sQ316_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f3968]) ).
fof(f3971,plain,
( ~ sQ69_spl
| ~ sQ89_spl
| sQ144_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f3955,f3968,f689,f392,f323]) ).
fof(f3972,plain,
( ~ sQ69_spl
| ~ sQ89_spl
| sQ158_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f3956,f3968,f834,f392,f323]) ).
fof(f3973,definition,
! [X0] :
( sQ317_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f3974,plain,
! [X0] :
( ~ sQ317_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f3973]) ).
fof(f3976,plain,
( ~ sQ89_spl
| sQ146_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f3957,f3973,f720,f392]) ).
fof(f3977,plain,
( ~ sQ89_spl
| sQ155_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f3958,f3973,f809,f392]) ).
fof(f3982,plain,
! [X0] :
( ~ sQ317_spl
| ~ product(X0,e_2,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f3974]) ).
fof(f3983,plain,
( ~ sQ42_spl
| ~ sQ317_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f233,f3982]) ).
fof(f3984,plain,
( ~ sQ42_spl
| ~ sQ317_spl ),
inference(contradiction_clause,[status(thm)],[f3983]) ).
fof(f3985,plain,
( ~ sQ6_spl
| ~ sQ106_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f453,f909]) ).
fof(f3986,plain,
( ~ sQ197_spl
| ~ sQ106_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f453,f1363]) ).
fof(f3987,plain,
( ~ sQ179_spl
| ~ sQ106_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f453,f1090]) ).
fof(f3988,plain,
( ~ sQ178_spl
| ~ sQ106_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f453,f1076]) ).
fof(f3989,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ106_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f453,f1197]) ).
fof(f3990,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ106_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f453,f1196]) ).
fof(f3991,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ106_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f453,f3113]) ).
fof(f3992,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ106_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f453,f3114]) ).
fof(f3993,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ106_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f453,f1463]) ).
fof(f3994,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ106_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f453,f1462]) ).
fof(f3995,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f453,f64]) ).
fof(f3996,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f453,f62]) ).
fof(f3997,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f453,f60]) ).
fof(f3998,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f453,f71]) ).
fof(f3999,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f453,f70]) ).
fof(f4000,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f453,f69]) ).
fof(f4001,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f453,f67]) ).
fof(f4002,plain,
( ~ sQ6_spl
| ~ sQ106_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f3985,f753,f452,f112]) ).
fof(f4003,plain,
( ~ sQ36_spl
| ~ sQ106_spl
| sQ127_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f3989,f2514,f537,f452,f213]) ).
fof(f4004,plain,
( ~ sQ36_spl
| ~ sQ106_spl
| sQ174_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f3990,f2514,f1014,f452,f213]) ).
fof(f4005,definition,
! [X0] :
( sQ318_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f4006,plain,
! [X0] :
( ~ sQ318_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f4005]) ).
fof(f4008,plain,
( ~ sQ6_spl
| ~ sQ106_spl
| sQ162_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f3991,f4005,f891,f452,f112]) ).
fof(f4009,plain,
( ~ sQ6_spl
| ~ sQ106_spl
| sQ150_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f3992,f4005,f753,f452,f112]) ).
fof(f4010,definition,
! [X0] :
( sQ319_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f4011,plain,
! [X0] :
( ~ sQ319_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f4010]) ).
fof(f4013,plain,
( ~ sQ71_spl
| ~ sQ106_spl
| sQ130_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f3993,f4010,f560,f452,f330]) ).
fof(f4014,plain,
( ~ sQ71_spl
| ~ sQ106_spl
| sQ164_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f3994,f4010,f932,f452,f330]) ).
fof(f4015,definition,
! [X0] :
( sQ320_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f4016,plain,
! [X0] :
( ~ sQ320_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f4015]) ).
fof(f4018,plain,
( ~ sQ106_spl
| sQ133_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f3998,f4015,f583,f452]) ).
fof(f4019,plain,
( ~ sQ106_spl
| sQ167_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f3999,f4015,f951,f452]) ).
fof(f4020,plain,
( ~ sQ107_spl
| ~ sQ249_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f456,f2361]) ).
fof(f4021,plain,
( ~ sQ107_spl
| ~ sQ249_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f4020]) ).
fof(f4022,plain,
( ~ sQ287_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f3098,f65]) ).
fof(f4023,plain,
( ~ sQ98_spl
| ~ sQ320_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f4016,f422]) ).
fof(f4024,plain,
( ~ sQ98_spl
| ~ sQ320_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4023,f65]) ).
fof(f4025,plain,
( ~ sQ98_spl
| ~ sQ320_spl ),
inference(contradiction_clause,[status(thm)],[f4024]) ).
fof(f4027,plain,
( ~ sQ98_spl
| ~ sQ318_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f4006,f422]) ).
fof(f4042,plain,
( ~ sQ98_spl
| ~ sQ272_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f2515,f422]) ).
fof(f4044,plain,
( ~ sQ156_spl
| ~ sQ25_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f179,f826]) ).
fof(f4045,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ25_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f179,f731]) ).
fof(f4046,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ25_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f179,f730]) ).
fof(f4047,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f179,f64]) ).
fof(f4048,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f179,f62]) ).
fof(f4049,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_1,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f179,f60]) ).
fof(f4050,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f179,f71]) ).
fof(f4051,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f179,f70]) ).
fof(f4052,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f179,f69]) ).
fof(f4053,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| equalish(e_4,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f179,f67]) ).
fof(f4054,plain,
( ~ sQ15_spl
| ~ sQ25_spl
| sQ169_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f4045,f3313,f971,f178,f141]) ).
fof(f4055,plain,
( ~ sQ15_spl
| ~ sQ25_spl
| sQ132_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f4046,f3313,f579,f178,f141]) ).
fof(f4056,definition,
! [X0] :
( sQ321_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f4057,plain,
! [X0] :
( ~ sQ321_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f4056]) ).
fof(f4059,plain,
( ~ sQ25_spl
| sQ164_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f4050,f4056,f932,f178]) ).
fof(f4060,plain,
( ~ sQ25_spl
| sQ148_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f4051,f4056,f735,f178]) ).
fof(f4061,plain,
( ~ sQ321_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f4057,f65]) ).
fof(f4062,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4052,f179]) ).
fof(f4063,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4052,f65]) ).
fof(f4064,definition,
! [X0] :
( sQ322_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f4065,plain,
! [X0] :
( ~ sQ322_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f4064]) ).
fof(f4067,plain,
( ~ sQ25_spl
| sQ139_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f4062,f4064,f646,f178]) ).
fof(f4068,plain,
( ~ sQ25_spl
| sQ150_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f4063,f4056,f753,f178]) ).
fof(f4069,plain,
! [X0] :
( ~ sQ322_spl
| ~ product(X0,e_4,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f4065]) ).
fof(f4076,plain,
( ~ sQ197_spl
| ~ sQ6_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f113,f1363]) ).
fof(f4077,plain,
( ~ sQ179_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f113,f1090]) ).
fof(f4078,plain,
( ~ sQ178_spl
| ~ sQ6_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f113,f1076]) ).
fof(f4079,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ6_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f113,f1197]) ).
fof(f4080,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ6_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f113,f1196]) ).
fof(f4081,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f113,f3113]) ).
fof(f4082,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f113,f3114]) ).
fof(f4083,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ6_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f113,f1463]) ).
fof(f4084,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ6_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f113,f1462]) ).
fof(f4092,plain,
( ~ sQ36_spl
| ~ sQ6_spl
| sQ126_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f4079,f3839,f533,f112,f213]) ).
fof(f4093,plain,
( ~ sQ36_spl
| ~ sQ6_spl
| sQ174_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f4080,f3839,f1014,f112,f213]) ).
fof(f4094,plain,
( ~ sQ6_spl
| sQ162_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f4081,f941,f891,f112]) ).
fof(f4095,plain,
( ~ sQ6_spl
| sQ139_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f4082,f941,f646,f112]) ).
fof(f4096,plain,
( ~ sQ71_spl
| ~ sQ6_spl
| sQ129_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f4083,f1470,f556,f112,f330]) ).
fof(f4097,plain,
( ~ sQ71_spl
| ~ sQ6_spl
| sQ164_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f4084,f1470,f932,f112,f330]) ).
fof(f4102,definition,
! [X0] :
( sQ323_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f4103,plain,
! [X0] :
( ~ sQ323_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f4102]) ).
fof(f4107,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ35_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1216,f179]) ).
fof(f4109,plain,
( ~ sQ25_spl
| ~ sQ35_spl
| sQ162_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f4107,f4102,f891,f210,f178]) ).
fof(f4119,plain,
( ~ sQ25_spl
| ~ sQ35_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1211,f179]) ).
fof(f4120,plain,
( ~ sQ25_spl
| ~ sQ35_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f4119,f556,f210,f178]) ).
fof(f4121,plain,
( ~ sQ98_spl
| ~ sQ318_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f4027,f357,f4005,f421]) ).
fof(f4124,plain,
( ~ sQ98_spl
| ~ sQ272_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f2515,f422]) ).
fof(f4130,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ5_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f925,f179]) ).
fof(f4132,definition,
! [X0] :
( sQ324_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f4133,plain,
! [X0] :
( ~ sQ324_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f4132]) ).
fof(f4135,plain,
( ~ sQ25_spl
| ~ sQ5_spl
| sQ169_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f4130,f4132,f971,f109,f178]) ).
fof(f4137,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ5_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f924,f179]) ).
fof(f4139,plain,
( ~ sQ25_spl
| ~ sQ5_spl
| sQ126_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f4137,f4132,f533,f109,f178]) ).
fof(f4142,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f142,f920]) ).
fof(f4144,plain,
( ~ sQ246_spl
| ~ sQ15_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f142,f2152]) ).
fof(f4146,plain,
( ~ sQ230_spl
| ~ sQ15_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f142,f1867]) ).
fof(f4147,plain,
( ~ sQ228_spl
| ~ sQ15_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f142,f1842]) ).
fof(f4148,plain,
( ~ sQ231_spl
| ~ sQ15_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f142,f1872]) ).
fof(f4149,plain,
( ~ sQ232_spl
| ~ sQ15_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f142,f1893]) ).
fof(f4150,plain,
( ~ sQ235_spl
| ~ sQ15_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f142,f1929]) ).
fof(f4151,plain,
( ~ sQ279_spl
| ~ sQ15_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f142,f2916]) ).
fof(f4152,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f142,f924]) ).
fof(f4153,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f142,f925]) ).
fof(f4163,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f4142,f662,f141,f109]) ).
fof(f4164,plain,
( ~ sQ228_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4147,f65]) ).
fof(f4165,plain,
( ~ sQ228_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f4164]) ).
fof(f4170,plain,
( ~ sQ7_spl
| ~ sQ265_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f116,f3054]) ).
fof(f4171,plain,
( ~ sQ7_spl
| ~ sQ265_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f4170]) ).
fof(f4172,definition,
! [X0] :
( sQ325_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f4173,plain,
! [X0] :
( ~ sQ325_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f4172]) ).
fof(f4175,plain,
( ~ sQ7_spl
| sQ129_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f900,f4172,f556,f115]) ).
fof(f4176,plain,
( ~ sQ7_spl
| sQ174_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f901,f4172,f1014,f115]) ).
fof(f4178,plain,
( ~ sQ325_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f4173,f65]) ).
fof(f4180,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f902,f65]) ).
fof(f4181,definition,
! [X0] :
( sQ326_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f4182,plain,
! [X0] :
( ~ sQ326_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f4181]) ).
fof(f4185,plain,
( ~ sQ7_spl
| sQ153_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f4180,f4172,f788,f115]) ).
fof(f4186,plain,
( ~ sQ25_spl
| ~ sQ326_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f4182,f179]) ).
fof(f4187,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ7_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f903,f164]) ).
fof(f4188,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f903,f65]) ).
fof(f4189,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| sQ139_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f4187,f4181,f646,f115,f163]) ).
fof(f4190,plain,
( ~ sQ7_spl
| sQ136_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f4188,f4172,f617,f115]) ).
fof(f4191,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f898,f164]) ).
fof(f4192,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f4191,f537,f115,f163]) ).
fof(f4193,plain,
( ~ sQ325_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f4178,f272,f4172]) ).
fof(f4194,plain,
( ~ sQ290_spl
| ~ sQ119_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3858,f442,f493,f3249]) ).
fof(f4195,plain,
( ~ sQ294_spl
| ~ sQ18_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3666,f125,f150,f3283]) ).
fof(f4225,plain,
( ~ sQ245_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f233,f2135]) ).
fof(f4226,plain,
( ~ sQ316_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f233,f3969]) ).
fof(f4244,plain,
( ~ sQ188_spl
| ~ sQ105_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f450,f1201]) ).
fof(f4245,plain,
( ~ sQ181_spl
| ~ sQ105_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f450,f1114]) ).
fof(f4246,plain,
( ~ sQ168_spl
| ~ sQ105_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f450,f969]) ).
fof(f4247,plain,
( ~ sQ171_spl
| ~ sQ105_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f450,f1004]) ).
fof(f4248,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ105_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f450,f1634]) ).
fof(f4249,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ105_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f450,f1633]) ).
fof(f4250,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ105_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f450,f1216]) ).
fof(f4251,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ105_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f450,f1215]) ).
fof(f4252,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f450,f64]) ).
fof(f4253,plain,
( ~ sQ105_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f450,f79]) ).
fof(f4254,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f450,f62]) ).
fof(f4255,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f450,f60]) ).
fof(f4256,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f450,f71]) ).
fof(f4257,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f450,f70]) ).
fof(f4258,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f450,f69]) ).
fof(f4259,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f450,f67]) ).
fof(f4260,definition,
! [X0] :
( sQ327_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f4261,plain,
! [X0] :
( ~ sQ327_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f4260]) ).
fof(f4263,plain,
( ~ sQ65_spl
| ~ sQ105_spl
| sQ130_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f4248,f4260,f560,f449,f311]) ).
fof(f4264,plain,
( ~ sQ65_spl
| ~ sQ105_spl
| sQ167_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f4249,f4260,f951,f449,f311]) ).
fof(f4265,plain,
( ~ sQ35_spl
| ~ sQ105_spl
| sQ127_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f4250,f2514,f537,f449,f210]) ).
fof(f4266,plain,
( ~ sQ35_spl
| ~ sQ105_spl
| sQ174_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f4251,f2514,f1014,f449,f210]) ).
fof(f4267,plain,
( ~ sQ105_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f4253,f932,f449]) ).
fof(f4268,definition,
! [X0] :
( sQ328_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f4269,plain,
! [X0] :
( ~ sQ328_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f4268]) ).
fof(f4271,plain,
( ~ sQ105_spl
| sQ172_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f4256,f4268,f1007,f449]) ).
fof(f4272,plain,
( ~ sQ105_spl
| sQ164_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f4257,f4268,f932,f449]) ).
fof(f4273,plain,
( ~ sQ321_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f4061,f461,f4056]) ).
fof(f4274,plain,
( ~ sQ109_spl
| ~ sQ322_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f462,f4069]) ).
fof(f4275,plain,
( ~ sQ109_spl
| ~ sQ322_spl ),
inference(contradiction_clause,[status(thm)],[f4274]) ).
fof(f4276,plain,
( ~ sQ310_spl
| ~ sQ77_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f355,f3766]) ).
fof(f4277,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ77_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f355,f1087]) ).
fof(f4278,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ77_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f355,f1088]) ).
fof(f4279,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ77_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f355,f551]) ).
fof(f4280,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ77_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f355,f552]) ).
fof(f4281,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f355,f64]) ).
fof(f4282,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f355,f62]) ).
fof(f4283,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f355,f60]) ).
fof(f4284,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f355,f71]) ).
fof(f4285,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f355,f70]) ).
fof(f4286,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f355,f69]) ).
fof(f4287,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f355,f67]) ).
fof(f4288,definition,
! [X0] :
( sQ329_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f4289,plain,
! [X0] :
( ~ sQ329_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f4288]) ).
fof(f4291,plain,
( ~ sQ42_spl
| ~ sQ77_spl
| sQ132_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f4277,f4288,f579,f354,f232]) ).
fof(f4292,plain,
( ~ sQ42_spl
| ~ sQ77_spl
| sQ141_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f4278,f4288,f662,f354,f232]) ).
fof(f4293,definition,
! [X0] :
( sQ330_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f4294,plain,
! [X0] :
( ~ sQ330_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f4293]) ).
fof(f4296,plain,
( ~ sQ22_spl
| ~ sQ77_spl
| sQ148_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4279,f4293,f735,f354,f163]) ).
fof(f4297,plain,
( ~ sQ22_spl
| ~ sQ77_spl
| sQ137_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4280,f4293,f624,f354,f163]) ).
fof(f4298,definition,
! [X0] :
( sQ331_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f4299,plain,
! [X0] :
( ~ sQ331_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f4298]) ).
fof(f4301,plain,
( ~ sQ77_spl
| sQ144_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f4284,f4298,f689,f354]) ).
fof(f4302,plain,
( ~ sQ77_spl
| sQ129_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f4285,f4298,f556,f354]) ).
fof(f4303,plain,
( ~ sQ65_spl
| ~ sQ232_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1911,f282,f1892,f311]) ).
fof(f4306,plain,
( ~ sQ140_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f659,f65]) ).
fof(f4308,plain,
( ~ sQ328_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f4269,f65]) ).
fof(f4310,plain,
( ~ sQ22_spl
| ~ sQ306_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f3590,f164]) ).
fof(f4317,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ82_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3493,f355]) ).
fof(f4320,definition,
! [X0] :
( sQ332_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f4321,plain,
! [X0] :
( ~ sQ332_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f4320]) ).
fof(f4323,plain,
( ~ sQ77_spl
| ~ sQ82_spl
| sQ126_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f4317,f4320,f533,f370,f354]) ).
fof(f4326,plain,
( ~ sQ308_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f3603,f65]) ).
fof(f4327,plain,
( ~ sQ183_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1134,f65]) ).
fof(f4328,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ82_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3494,f355]) ).
fof(f4331,plain,
( ~ sQ77_spl
| ~ sQ82_spl
| sQ146_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f4328,f4320,f720,f370,f354]) ).
fof(f4342,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1387,f65]) ).
fof(f4343,plain,
( ~ sQ74_spl
| sQ129_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f4342,f1388,f556,f339]) ).
fof(f4344,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1386,f65]) ).
fof(f4345,plain,
( ~ sQ74_spl
| sQ148_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f4344,f1388,f735,f339]) ).
fof(f4354,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ27_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3307,f355]) ).
fof(f4355,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ27_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3307,f164]) ).
fof(f4356,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3307,f65]) ).
fof(f4357,definition,
! [X0] :
( sQ333_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f4358,plain,
! [X0] :
( ~ sQ333_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f4357]) ).
fof(f4360,plain,
( ~ sQ77_spl
| ~ sQ27_spl
| sQ141_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f4354,f4357,f662,f184,f354]) ).
fof(f4361,definition,
! [X0] :
( sQ334_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f4362,plain,
! [X0] :
( ~ sQ334_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f4361]) ).
fof(f4364,plain,
( ~ sQ22_spl
| ~ sQ27_spl
| sQ126_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f4355,f4361,f533,f184,f163]) ).
fof(f4365,plain,
( ~ sQ27_spl
| sQ153_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f4356,f3323,f788,f184]) ).
fof(f4366,plain,
( ~ sQ301_spl
| ~ sQ49_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3694,f184,f254,f3434]) ).
fof(f4368,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ27_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3306,f164]) ).
fof(f4369,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3306,f65]) ).
fof(f4370,plain,
( ~ sQ22_spl
| ~ sQ27_spl
| sQ150_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f4368,f4361,f753,f184,f163]) ).
fof(f4371,plain,
( ~ sQ27_spl
| sQ136_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f4369,f3323,f617,f184]) ).
fof(f4384,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ117_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2411,f164]) ).
fof(f4386,plain,
( ~ sQ22_spl
| ~ sQ117_spl
| sQ133_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f4384,f2413,f583,f487,f163]) ).
fof(f4388,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ117_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2412,f164]) ).
fof(f4390,plain,
( ~ sQ22_spl
| ~ sQ117_spl
| sQ148_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f4388,f2413,f735,f487,f163]) ).
fof(f4394,plain,
( ~ sQ332_spl
| ~ sQ18_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f151,f4321]) ).
fof(f4396,plain,
( ~ sQ304_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f151,f3501]) ).
fof(f4397,plain,
( ~ sQ305_spl
| ~ sQ18_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f151,f3506]) ).
fof(f4398,plain,
( ~ sQ293_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f151,f3280]) ).
fof(f4422,plain,
( ~ sQ179_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f113,f1090]) ).
fof(f4425,plain,
( ~ sQ178_spl
| ~ sQ6_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f113,f1076]) ).
fof(f4441,plain,
( ~ sQ10_spl
| ~ sQ35_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f211,f842]) ).
fof(f4444,plain,
( ~ sQ198_spl
| ~ sQ35_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f211,f1389]) ).
fof(f4445,plain,
( ~ sQ224_spl
| ~ sQ35_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f211,f1771]) ).
fof(f4448,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ35_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f211,f848]) ).
fof(f4449,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ35_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f211,f847]) ).
fof(f4461,plain,
( ~ sQ10_spl
| ~ sQ35_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f4441,f971,f210,f125]) ).
fof(f4462,definition,
! [X0] :
( sQ335_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f4463,plain,
! [X0] :
( ~ sQ335_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f4462]) ).
fof(f4465,plain,
( ~ sQ10_spl
| ~ sQ35_spl
| sQ169_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f4448,f4462,f971,f210,f125]) ).
fof(f4466,plain,
( ~ sQ10_spl
| ~ sQ35_spl
| sQ155_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f4449,f4462,f809,f210,f125]) ).
fof(f4477,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ46_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1027,f113]) ).
fof(f4479,definition,
! [X0] :
( sQ336_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f4480,plain,
! [X0] :
( ~ sQ336_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f4479]) ).
fof(f4482,plain,
( ~ sQ6_spl
| ~ sQ46_spl
| sQ164_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f4477,f4479,f932,f245,f112]) ).
fof(f4484,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ46_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1028,f113]) ).
fof(f4486,plain,
( ~ sQ6_spl
| ~ sQ46_spl
| sQ126_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f4484,f4479,f533,f245,f112]) ).
fof(f4488,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ73_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1401,f151]) ).
fof(f4490,plain,
( ~ sQ18_spl
| ~ sQ73_spl
| sQ135_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f4488,f1403,f610,f336,f150]) ).
fof(f4492,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ73_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1402,f151]) ).
fof(f4494,plain,
( ~ sQ18_spl
| ~ sQ73_spl
| sQ129_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f4492,f1403,f556,f336,f150]) ).
fof(f4512,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4053,f65]) ).
fof(f4513,plain,
( ~ sQ25_spl
| sQ127_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f4512,f4056,f537,f178]) ).
fof(f4517,plain,
( ~ sQ199_spl
| ~ sQ10_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f126,f1404]) ).
fof(f4518,plain,
( ~ sQ198_spl
| ~ sQ10_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f126,f1389]) ).
fof(f4519,plain,
( ~ sQ224_spl
| ~ sQ10_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f126,f1771]) ).
fof(f4520,plain,
( ~ sQ210_spl
| ~ sQ10_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f126,f1542]) ).
fof(f4521,plain,
( ~ sQ206_spl
| ~ sQ10_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f126,f1476]) ).
fof(f4522,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f126,f4053]) ).
fof(f4523,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ10_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f126,f1131]) ).
fof(f4524,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ10_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f126,f1130]) ).
fof(f4525,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f126,f848]) ).
fof(f4534,plain,
( ~ sQ198_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4518,f65]) ).
fof(f4535,plain,
( ~ sQ198_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f4534]) ).
fof(f4536,definition,
! [X0] :
( sQ337_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f4537,plain,
! [X0] :
( ~ sQ337_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f4536]) ).
fof(f4539,plain,
( ~ sQ40_spl
| ~ sQ10_spl
| sQ126_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f4523,f4536,f533,f125,f226]) ).
fof(f4540,plain,
( ~ sQ40_spl
| ~ sQ10_spl
| sQ158_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f4524,f4536,f834,f125,f226]) ).
fof(f4541,plain,
( ~ sQ10_spl
| sQ139_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f4525,f858,f646,f125]) ).
fof(f4548,plain,
( ~ sQ303_spl
| ~ sQ99_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f425,f3496]) ).
fof(f4549,plain,
( ~ sQ302_spl
| ~ sQ99_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f425,f3440]) ).
fof(f4550,plain,
( ~ sQ283_spl
| ~ sQ99_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f425,f3025]) ).
fof(f4551,plain,
( ~ sQ285_spl
| ~ sQ99_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f425,f3035]) ).
fof(f4552,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ99_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f425,f2344]) ).
fof(f4553,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ99_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f425,f2343]) ).
fof(f4554,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f425,f1835]) ).
fof(f4555,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f425,f1834]) ).
fof(f4563,plain,
( ~ sQ302_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4549,f65]) ).
fof(f4564,plain,
( ~ sQ302_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f4563]) ).
fof(f4565,plain,
( ~ sQ119_spl
| ~ sQ99_spl
| sQ135_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f4552,f2390,f610,f424,f493]) ).
fof(f4566,plain,
( ~ sQ119_spl
| ~ sQ99_spl
| sQ133_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f4553,f2390,f583,f424,f493]) ).
fof(f4567,plain,
( ~ sQ99_spl
| sQ146_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f4554,f2920,f720,f424]) ).
fof(f4568,plain,
( ~ sQ99_spl
| sQ172_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f4555,f2920,f1007,f424]) ).
fof(f4571,plain,
( ~ sQ183_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1134,f65]) ).
fof(f4574,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ69_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1523,f425]) ).
fof(f4576,definition,
! [X0] :
( sQ338_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f4577,plain,
! [X0] :
( ~ sQ338_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f4576]) ).
fof(f4579,plain,
( ~ sQ99_spl
| ~ sQ69_spl
| sQ133_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f4574,f4576,f583,f323,f424]) ).
fof(f4581,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ69_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1524,f425]) ).
fof(f4583,plain,
( ~ sQ99_spl
| ~ sQ69_spl
| sQ144_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f4581,f4576,f689,f323,f424]) ).
fof(f4593,plain,
( ~ sQ18_spl
| ~ sQ304_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f3501,f151]) ).
fof(f4595,plain,
( ~ sQ10_spl
| ~ sQ205_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f1471,f126]) ).
fof(f4596,plain,
( ~ sQ6_spl
| ~ sQ337_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f4537,f113]) ).
fof(f4601,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ49_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f966,f425]) ).
fof(f4603,plain,
( ~ sQ99_spl
| ~ sQ49_spl
| sQ172_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f4601,f1938,f1007,f254,f424]) ).
fof(f4621,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ88_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2148,f151]) ).
fof(f4623,definition,
! [X0] :
( sQ339_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f4624,plain,
! [X0] :
( ~ sQ339_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f4623]) ).
fof(f4626,plain,
( ~ sQ18_spl
| ~ sQ88_spl
| sQ144_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f4621,f4623,f689,f389,f150]) ).
fof(f4628,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ88_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2149,f151]) ).
fof(f4630,plain,
( ~ sQ18_spl
| ~ sQ88_spl
| sQ132_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f4628,f4623,f579,f389,f150]) ).
fof(f4640,plain,
( ~ sQ99_spl
| ~ sQ49_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f961,f425]) ).
fof(f4641,plain,
( ~ sQ99_spl
| ~ sQ49_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f4640,f662,f254,f424]) ).
fof(f4642,plain,
( ~ sQ316_spl
| ~ sQ42_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f4226,f213,f232,f3968]) ).
fof(f4647,plain,
( ~ sQ183_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1134,f65]) ).
fof(f4652,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ101_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3427,f113]) ).
fof(f4654,definition,
! [X0] :
( sQ340_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f4655,plain,
! [X0] :
( ~ sQ340_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f4654]) ).
fof(f4657,plain,
( ~ sQ6_spl
| ~ sQ101_spl
| sQ169_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f4652,f4654,f971,f436,f112]) ).
fof(f4659,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ101_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3428,f113]) ).
fof(f4661,plain,
( ~ sQ6_spl
| ~ sQ101_spl
| sQ148_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f4659,f4654,f735,f436,f112]) ).
fof(f4673,plain,
( ~ sQ69_spl
| ~ sQ119_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f494,f1518]) ).
fof(f4675,plain,
( ~ sQ330_spl
| ~ sQ119_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f494,f4294]) ).
fof(f4676,plain,
( ~ sQ333_spl
| ~ sQ119_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f494,f4358]) ).
fof(f4677,plain,
( ~ sQ329_spl
| ~ sQ119_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f494,f4289]) ).
fof(f4678,plain,
( ~ sQ331_spl
| ~ sQ119_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f494,f4299]) ).
fof(f4679,plain,
( ~ sQ291_spl
| ~ sQ119_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f494,f3254]) ).
fof(f4682,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ119_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f494,f1524]) ).
fof(f4683,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ119_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f494,f1523]) ).
fof(f4693,plain,
( ~ sQ69_spl
| ~ sQ119_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f4673,f560,f493,f323]) ).
fof(f4696,plain,
( ~ sQ69_spl
| ~ sQ119_spl
| sQ130_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f4682,f2380,f560,f493,f323]) ).
fof(f4697,plain,
( ~ sQ69_spl
| ~ sQ119_spl
| sQ146_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f4683,f2380,f720,f493,f323]) ).
fof(f4703,plain,
( ~ sQ22_spl
| ~ sQ269_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f2482,f164]) ).
fof(f4705,plain,
( ~ sQ180_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1095,f65]) ).
fof(f4714,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ65_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1633,f126]) ).
fof(f4716,plain,
( ~ sQ10_spl
| ~ sQ65_spl
| sQ158_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f4714,f1603,f834,f311,f125]) ).
fof(f4718,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ65_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1634,f126]) ).
fof(f4720,plain,
( ~ sQ10_spl
| ~ sQ65_spl
| sQ129_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f4718,f1603,f556,f311,f125]) ).
fof(f4739,plain,
( ~ sQ323_spl
| ~ sQ107_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f456,f4103]) ).
fof(f4740,plain,
( ~ sQ311_spl
| ~ sQ107_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f456,f3840]) ).
fof(f4741,plain,
( ~ sQ196_spl
| ~ sQ107_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f456,f1353]) ).
fof(f4742,plain,
( ~ sQ185_spl
| ~ sQ107_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f456,f1160]) ).
fof(f4743,plain,
( ~ sQ184_spl
| ~ sQ107_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f456,f1146]) ).
fof(f4744,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ107_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f456,f1087]) ).
fof(f4745,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ107_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f456,f1088]) ).
fof(f4746,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ107_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f456,f552]) ).
fof(f4747,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ107_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f456,f551]) ).
fof(f4748,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ107_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f456,f3306]) ).
fof(f4749,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ107_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f456,f3307]) ).
fof(f4750,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f456,f64]) ).
fof(f4751,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f456,f62]) ).
fof(f4752,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f456,f60]) ).
fof(f4753,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f456,f71]) ).
fof(f4754,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f456,f70]) ).
fof(f4755,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f456,f69]) ).
fof(f4756,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f456,f67]) ).
fof(f4757,plain,
( ~ sQ196_spl
| ~ sQ107_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f4741,f436,f455,f1352]) ).
fof(f4758,definition,
! [X0] :
( sQ341_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f4759,plain,
! [X0] :
( ~ sQ341_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f4758]) ).
fof(f4761,plain,
( ~ sQ42_spl
| ~ sQ107_spl
| sQ167_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f4744,f4758,f951,f455,f232]) ).
fof(f4762,plain,
( ~ sQ42_spl
| ~ sQ107_spl
| sQ127_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f4745,f4758,f537,f455,f232]) ).
fof(f4763,definition,
! [X0] :
( sQ342_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f4764,plain,
! [X0] :
( ~ sQ342_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f4763]) ).
fof(f4766,plain,
( ~ sQ22_spl
| ~ sQ107_spl
| sQ150_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f4746,f4763,f753,f455,f163]) ).
fof(f4767,plain,
( ~ sQ22_spl
| ~ sQ107_spl
| sQ164_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f4747,f4763,f932,f455,f163]) ).
fof(f4768,definition,
! [X0] :
( sQ343_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f4769,plain,
! [X0] :
( ~ sQ343_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f4768]) ).
fof(f4771,plain,
( ~ sQ27_spl
| ~ sQ107_spl
| sQ169_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f4748,f4768,f971,f455,f184]) ).
fof(f4772,plain,
( ~ sQ27_spl
| ~ sQ107_spl
| sQ127_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f4749,f4768,f537,f455,f184]) ).
fof(f4773,definition,
! [X0] :
( sQ344_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f4774,plain,
! [X0] :
( ~ sQ344_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f4773]) ).
fof(f4776,plain,
( ~ sQ107_spl
| sQ130_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f4753,f4773,f560,f455]) ).
fof(f4777,plain,
( ~ sQ107_spl
| sQ174_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f4754,f4773,f1014,f455]) ).
fof(f4778,plain,
( ~ sQ333_spl
| ~ sQ119_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f4676,f461,f493,f4357]) ).
fof(f4779,plain,
( ~ sQ119_spl
| ~ sQ109_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2503,f494]) ).
fof(f4780,plain,
( ~ sQ119_spl
| ~ sQ109_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f4779,f662,f461,f493]) ).
fof(f4781,definition,
! [X0] :
( sQ345_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f4782,plain,
! [X0] :
( ~ sQ345_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f4781]) ).
fof(f4784,plain,
( ~ sQ25_spl
| ~ sQ10_spl
| sQ126_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f4522,f4781,f533,f125,f178]) ).
fof(f4785,plain,
( ~ sQ311_spl
| ~ sQ107_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f4740,f442,f455,f3839]) ).
fof(f4794,plain,
( ~ sQ314_spl
| ~ sQ71_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f331,f3880]) ).
fof(f4795,plain,
( ~ sQ257_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f331,f2356]) ).
fof(f4798,plain,
( ~ sQ313_spl
| ~ sQ71_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f331,f3875]) ).
fof(f4799,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ71_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f331,f1197]) ).
fof(f4800,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ71_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f331,f1196]) ).
fof(f4812,definition,
! [X0] :
( sQ346_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f4813,plain,
! [X0] :
( ~ sQ346_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f4812]) ).
fof(f4815,plain,
( ~ sQ36_spl
| ~ sQ71_spl
| sQ153_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f4799,f4812,f788,f330,f213]) ).
fof(f4816,plain,
( ~ sQ36_spl
| ~ sQ71_spl
| sQ130_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f4800,f4812,f560,f330,f213]) ).
fof(f4825,plain,
( ~ sQ340_spl
| ~ sQ49_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f255,f4655]) ).
fof(f4827,plain,
( ~ sQ303_spl
| ~ sQ49_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f255,f3496]) ).
fof(f4828,plain,
( ~ sQ283_spl
| ~ sQ49_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f255,f3025]) ).
fof(f4829,plain,
( ~ sQ285_spl
| ~ sQ49_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f255,f3035]) ).
fof(f4849,plain,
( ~ sQ215_spl
| ~ sQ36_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f214,f1604]) ).
fof(f4851,plain,
( ~ sQ213_spl
| ~ sQ36_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f214,f1571]) ).
fof(f4852,plain,
( ~ sQ312_spl
| ~ sQ36_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f214,f3847]) ).
fof(f4853,plain,
( ~ sQ219_spl
| ~ sQ36_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f214,f1637]) ).
fof(f4854,plain,
( ~ sQ216_spl
| ~ sQ36_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f214,f1609]) ).
fof(f4855,plain,
( ~ sQ211_spl
| ~ sQ36_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f214,f1547]) ).
fof(f4856,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f214,f1197]) ).
fof(f4857,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f214,f1196]) ).
fof(f4858,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ36_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f214,f1463]) ).
fof(f4859,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ36_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f214,f1462]) ).
fof(f4860,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ36_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f214,f3113]) ).
fof(f4861,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ36_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f214,f3114]) ).
fof(f4869,plain,
( ~ sQ213_spl
| ~ sQ36_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f4851,f178,f213,f1570]) ).
fof(f4870,plain,
( ~ sQ211_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4855,f65]) ).
fof(f4871,plain,
( ~ sQ211_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f4870]) ).
fof(f4872,plain,
( ~ sQ36_spl
| sQ162_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f4856,f1330,f891,f213]) ).
fof(f4873,plain,
( ~ sQ36_spl
| sQ155_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f4857,f1330,f809,f213]) ).
fof(f4874,plain,
( ~ sQ71_spl
| ~ sQ36_spl
| sQ174_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f4858,f4812,f1014,f213,f330]) ).
fof(f4875,plain,
( ~ sQ71_spl
| ~ sQ36_spl
| sQ134_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f4859,f4812,f603,f213,f330]) ).
fof(f4876,plain,
( ~ sQ6_spl
| ~ sQ36_spl
| sQ153_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f4860,f3839,f788,f213,f112]) ).
fof(f4877,plain,
( ~ sQ6_spl
| ~ sQ36_spl
| sQ169_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f4861,f3839,f971,f213,f112]) ).
fof(f4880,plain,
( ~ sQ156_spl
| ~ sQ75_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f349,f826]) ).
fof(f4881,plain,
( ~ sQ142_spl
| ~ sQ75_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f349,f681]) ).
fof(f4882,plain,
( ~ sQ326_spl
| ~ sQ75_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f349,f4182]) ).
fof(f4883,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ75_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f349,f1130]) ).
fof(f4884,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ75_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f349,f1634]) ).
fof(f4885,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ75_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f349,f1633]) ).
fof(f4886,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ75_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f349,f848]) ).
fof(f4887,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ75_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f349,f847]) ).
fof(f4888,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f349,f64]) ).
fof(f4889,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f349,f62]) ).
fof(f4890,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f349,f60]) ).
fof(f4891,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f349,f71]) ).
fof(f4892,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f349,f70]) ).
fof(f4893,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f349,f69]) ).
fof(f4894,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f349,f67]) ).
fof(f4895,plain,
( ~ sQ40_spl
| ~ sQ75_spl
| sQ132_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f4883,f4288,f579,f348,f226]) ).
fof(f4896,definition,
! [X0] :
( sQ347_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f4897,plain,
! [X0] :
( ~ sQ347_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f4896]) ).
fof(f4899,plain,
( ~ sQ65_spl
| ~ sQ75_spl
| sQ144_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f4884,f4896,f689,f348,f311]) ).
fof(f4900,plain,
( ~ sQ65_spl
| ~ sQ75_spl
| sQ132_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f4885,f4896,f579,f348,f311]) ).
fof(f4901,definition,
! [X0] :
( sQ348_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f4902,plain,
! [X0] :
( ~ sQ348_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f4901]) ).
fof(f4904,plain,
( ~ sQ10_spl
| ~ sQ75_spl
| sQ137_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f4886,f4901,f624,f348,f125]) ).
fof(f4905,plain,
( ~ sQ10_spl
| ~ sQ75_spl
| sQ129_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f4887,f4901,f556,f348,f125]) ).
fof(f4906,definition,
! [X0] :
( sQ349_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f4907,plain,
! [X0] :
( ~ sQ349_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f4906]) ).
fof(f4909,plain,
( ~ sQ75_spl
| sQ135_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f4891,f4906,f610,f348]) ).
fof(f4910,plain,
( ~ sQ75_spl
| sQ148_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f4892,f4906,f735,f348]) ).
fof(f4913,plain,
( ~ sQ344_spl
| ~ sQ98_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f422,f4774]) ).
fof(f4915,plain,
( ~ sQ327_spl
| ~ sQ98_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f422,f4261]) ).
fof(f4916,plain,
( ~ sQ319_spl
| ~ sQ98_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f422,f4011]) ).
fof(f4942,plain,
( ~ sQ98_spl
| ~ sQ343_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f4769,f422]) ).
fof(f4943,plain,
( ~ sQ98_spl
| ~ sQ342_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f4764,f422]) ).
fof(f4944,plain,
( ~ sQ98_spl
| ~ sQ341_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f4759,f422]) ).
fof(f4945,plain,
( ~ sQ183_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1134,f65]) ).
fof(f4946,plain,
( ~ sQ321_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f4057,f65]) ).
fof(f4947,plain,
( ~ sQ36_spl
| ~ sQ212_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1566,f214]) ).
fof(f4948,plain,
( ~ sQ49_spl
| ~ sQ302_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f3440,f255]) ).
fof(f4949,plain,
( ~ sQ49_spl
| ~ sQ300_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f3430,f255]) ).
fof(f4954,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ25_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4052,f126]) ).
fof(f4956,plain,
( ~ sQ10_spl
| ~ sQ25_spl
| sQ136_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f4954,f4781,f617,f178,f125]) ).
fof(f4962,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ107_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f4755,f164]) ).
fof(f4963,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f4755,f65]) ).
fof(f4964,plain,
( ~ sQ22_spl
| ~ sQ107_spl
| sQ127_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f4962,f4763,f537,f455,f163]) ).
fof(f4965,plain,
( ~ sQ107_spl
| sQ153_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f4963,f4773,f788,f455]) ).
fof(f4966,plain,
( ~ sQ10_spl
| ~ sQ346_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f4813,f126]) ).
fof(f4967,plain,
( ~ sQ349_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f4907,f65]) ).
fof(f4968,plain,
( ~ sQ349_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f4967,f493,f4906]) ).
fof(f4969,plain,
( ~ sQ119_spl
| ~ sQ348_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f4902,f494]) ).
fof(f4970,plain,
( ~ sQ119_spl
| ~ sQ347_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f4897,f494]) ).
fof(f4971,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ107_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f4756,f164]) ).
fof(f4972,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f4756,f65]) ).
fof(f4973,plain,
( ~ sQ22_spl
| ~ sQ107_spl
| sQ148_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f4971,f4763,f735,f455,f163]) ).
fof(f4974,plain,
( ~ sQ107_spl
| sQ134_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f4972,f4773,f603,f455]) ).
fof(f4975,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ101_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3427,f214]) ).
fof(f4976,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ101_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3427,f331]) ).
fof(f4979,definition,
! [X0] :
( sQ350_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f4980,plain,
! [X0] :
( ~ sQ350_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f4979]) ).
fof(f4982,plain,
( ~ sQ36_spl
| ~ sQ101_spl
| sQ136_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f4975,f4979,f617,f436,f213]) ).
fof(f4983,plain,
( ~ sQ71_spl
| ~ sQ101_spl
| sQ150_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f4976,f3429,f753,f436,f330]) ).
fof(f4986,plain,
( ~ sQ49_spl
| ~ sQ350_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f4980,f255]) ).
fof(f4987,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ101_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3428,f214]) ).
fof(f4988,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ101_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3428,f331]) ).
fof(f4991,plain,
( ~ sQ36_spl
| ~ sQ101_spl
| sQ164_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f4987,f4979,f932,f436,f213]) ).
fof(f4992,plain,
( ~ sQ71_spl
| ~ sQ101_spl
| sQ134_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f4988,f3429,f603,f436,f330]) ).
fof(f4995,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ77_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f4286,f164]) ).
fof(f4996,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f4286,f65]) ).
fof(f4997,plain,
( ~ sQ22_spl
| ~ sQ77_spl
| sQ150_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4995,f4293,f753,f354,f163]) ).
fof(f4998,plain,
( ~ sQ77_spl
| sQ136_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f4996,f4298,f617,f354]) ).
fof(f4999,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ77_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f4287,f164]) ).
fof(f5000,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f4287,f65]) ).
fof(f5001,plain,
( ~ sQ22_spl
| ~ sQ77_spl
| sQ132_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4999,f4293,f579,f354,f163]) ).
fof(f5002,plain,
( ~ sQ77_spl
| sQ158_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f5000,f4298,f834,f354]) ).
fof(f5003,plain,
( ~ sQ87_spl
| ~ sQ344_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f387,f4913]) ).
fof(f5004,plain,
( ~ sQ87_spl
| ~ sQ344_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f5003]) ).
fof(f5017,plain,
( ~ sQ83_spl
| ~ sQ225_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f2109]) ).
fof(f5018,plain,
( ~ sQ83_spl
| ~ sQ225_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f5017]) ).
fof(f5019,plain,
( ~ sQ52_spl
| ~ sQ65_spl
| ~ sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f270,f1952]) ).
fof(f5020,plain,
( ~ sQ52_spl
| ~ sQ65_spl
| ~ sQ235_spl ),
inference(contradiction_clause,[status(thm)],[f5019]) ).
fof(f5023,plain,
( ~ sQ40_spl
| ~ sQ65_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f312,f1125]) ).
fof(f5025,plain,
( ~ sQ229_spl
| ~ sQ65_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f312,f1862]) ).
fof(f5026,plain,
( ~ sQ338_spl
| ~ sQ65_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f312,f4577]) ).
fof(f5027,plain,
( ~ sQ298_spl
| ~ sQ65_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f312,f3319]) ).
fof(f5028,plain,
( ~ sQ246_spl
| ~ sQ65_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f312,f2152]) ).
fof(f5030,plain,
( ~ sQ231_spl
| ~ sQ65_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f312,f1872]) ).
fof(f5031,plain,
( ~ sQ279_spl
| ~ sQ65_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f312,f2916]) ).
fof(f5032,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ65_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f312,f4053]) ).
fof(f5033,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ65_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f312,f4052]) ).
fof(f5034,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ65_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f312,f1131]) ).
fof(f5035,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ65_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f312,f1130]) ).
fof(f5038,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ65_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f312,f848]) ).
fof(f5039,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ65_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f312,f847]) ).
fof(f5047,plain,
( ~ sQ40_spl
| ~ sQ65_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f5023,f788,f311,f226]) ).
fof(f5048,definition,
! [X0] :
( sQ351_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f5049,plain,
! [X0] :
( ~ sQ351_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f5048]) ).
fof(f5051,plain,
( ~ sQ25_spl
| ~ sQ65_spl
| sQ153_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f5032,f5048,f788,f311,f178]) ).
fof(f5052,plain,
( ~ sQ25_spl
| ~ sQ65_spl
| sQ137_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f5033,f5048,f624,f311,f178]) ).
fof(f5053,plain,
( ~ sQ40_spl
| ~ sQ65_spl
| sQ153_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f5034,f1565,f788,f311,f226]) ).
fof(f5054,plain,
( ~ sQ40_spl
| ~ sQ65_spl
| sQ146_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f5035,f1565,f720,f311,f226]) ).
fof(f5057,plain,
( ~ sQ10_spl
| ~ sQ65_spl
| sQ136_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f5038,f1603,f617,f311,f125]) ).
fof(f5058,plain,
( ~ sQ10_spl
| ~ sQ65_spl
| sQ144_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f5039,f1603,f689,f311,f125]) ).
fof(f5065,plain,
( ~ sQ36_spl
| ~ sQ351_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f5049,f214]) ).
fof(f5066,plain,
( ~ sQ6_spl
| ~ sQ179_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f1090,f113]) ).
fof(f5075,plain,
( ~ sQ309_spl
| ~ sQ113_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f475,f3753]) ).
fof(f5076,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f475,f2470]) ).
fof(f5077,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f475,f2469]) ).
fof(f5089,definition,
! [X0] :
( sQ352_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f5090,plain,
! [X0] :
( ~ sQ352_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f5089]) ).
fof(f5092,plain,
( ~ sQ113_spl
| sQ172_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f5076,f5089,f1007,f474]) ).
fof(f5093,plain,
( ~ sQ113_spl
| sQ155_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f5077,f5089,f809,f474]) ).
fof(f5100,plain,
! [X0] :
( ~ sQ352_spl
| ~ product(X0,e_1,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f5090]) ).
fof(f5101,plain,
( ~ sQ22_spl
| ~ sQ352_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f164,f5100]) ).
fof(f5102,plain,
( ~ sQ22_spl
| ~ sQ352_spl ),
inference(contradiction_clause,[status(thm)],[f5101]) ).
fof(f5103,plain,
( ~ sQ277_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f2847,f65]) ).
fof(f5124,plain,
( ~ sQ142_spl
| ~ sQ25_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f179,f681]) ).
fof(f5125,plain,
( ~ sQ326_spl
| ~ sQ25_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f179,f4182]) ).
fof(f5126,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f179,f4053]) ).
fof(f5128,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ25_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f179,f1634]) ).
fof(f5129,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ25_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f179,f1633]) ).
fof(f5130,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ25_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f179,f848]) ).
fof(f5131,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ25_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f179,f847]) ).
fof(f5139,plain,
( ~ sQ25_spl
| sQ162_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f5126,f4064,f891,f178]) ).
fof(f5141,plain,
( ~ sQ65_spl
| ~ sQ25_spl
| sQ174_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f5128,f5048,f1014,f178,f311]) ).
fof(f5142,plain,
( ~ sQ65_spl
| ~ sQ25_spl
| sQ132_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f5129,f5048,f579,f178,f311]) ).
fof(f5143,plain,
( ~ sQ10_spl
| ~ sQ25_spl
| sQ169_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f5130,f4781,f971,f178,f125]) ).
fof(f5144,plain,
( ~ sQ10_spl
| ~ sQ25_spl
| sQ129_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f5131,f4781,f556,f178,f125]) ).
fof(f5152,plain,
( ~ sQ311_spl
| ~ sQ107_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f456,f3840]) ).
fof(f5157,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ107_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f456,f4287]) ).
fof(f5158,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ107_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f456,f4286]) ).
fof(f5159,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f456,f4756]) ).
fof(f5160,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f456,f4755]) ).
fof(f5172,definition,
! [X0] :
( sQ353_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f5173,plain,
! [X0] :
( ~ sQ353_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f5172]) ).
fof(f5175,plain,
( ~ sQ77_spl
| ~ sQ107_spl
| sQ133_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f5157,f5172,f583,f455,f354]) ).
fof(f5176,plain,
( ~ sQ77_spl
| ~ sQ107_spl
| sQ169_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f5158,f5172,f971,f455,f354]) ).
fof(f5177,definition,
! [X0] :
( sQ354_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f5178,plain,
! [X0] :
( ~ sQ354_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f5177]) ).
fof(f5180,plain,
( ~ sQ107_spl
| sQ172_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f5159,f5177,f1007,f455]) ).
fof(f5181,plain,
( ~ sQ107_spl
| sQ162_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f5160,f5177,f891,f455]) ).
fof(f5186,plain,
! [X0] :
( ~ sQ354_spl
| ~ product(X0,e_1,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f5178]) ).
fof(f5187,plain,
( ~ sQ98_spl
| ~ sQ354_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f422,f5186]) ).
fof(f5188,plain,
( ~ sQ98_spl
| ~ sQ354_spl ),
inference(contradiction_clause,[status(thm)],[f5187]) ).
fof(f5189,plain,
( ~ sQ328_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f4269,f65]) ).
fof(f5190,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ53_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1767,f475]) ).
fof(f5193,definition,
! [X0] :
( sQ355_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f5194,plain,
! [X0] :
( ~ sQ355_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f5193]) ).
fof(f5196,plain,
( ~ sQ113_spl
| ~ sQ53_spl
| sQ136_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f5190,f5193,f617,f272,f474]) ).
fof(f5199,plain,
( ~ sQ59_spl
| ~ sQ298_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f5027]) ).
fof(f5200,plain,
( ~ sQ59_spl
| ~ sQ298_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f5199]) ).
fof(f5201,plain,
( ~ sQ112_spl
| ~ sQ331_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f472,f4678]) ).
fof(f5202,plain,
( ~ sQ112_spl
| ~ sQ331_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f5201]) ).
fof(f5214,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f437,f3428]) ).
fof(f5215,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f437,f3427]) ).
fof(f5216,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ101_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f437,f1197]) ).
fof(f5217,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ101_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f437,f1196]) ).
fof(f5220,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ101_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f437,f3113]) ).
fof(f5221,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ101_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f437,f3114]) ).
fof(f5229,definition,
! [X0] :
( sQ356_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f5230,plain,
! [X0] :
( ~ sQ356_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f5229]) ).
fof(f5232,plain,
( ~ sQ101_spl
| sQ172_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f5214,f5229,f1007,f436]) ).
fof(f5233,plain,
( ~ sQ101_spl
| sQ139_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f5215,f5229,f646,f436]) ).
fof(f5234,plain,
( ~ sQ36_spl
| ~ sQ101_spl
| sQ127_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f5216,f4979,f537,f436,f213]) ).
fof(f5235,plain,
( ~ sQ36_spl
| ~ sQ101_spl
| sQ129_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f5217,f4979,f556,f436,f213]) ).
fof(f5238,plain,
( ~ sQ6_spl
| ~ sQ101_spl
| sQ126_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f5220,f4654,f533,f436,f112]) ).
fof(f5239,plain,
( ~ sQ6_spl
| ~ sQ101_spl
| sQ150_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f5221,f4654,f753,f436,f112]) ).
fof(f5242,plain,
! [X0] :
( ~ sQ356_spl
| ~ product(X0,e_1,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f5230]) ).
fof(f5243,plain,
( ~ sQ49_spl
| ~ sQ356_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f255,f5242]) ).
fof(f5244,plain,
( ~ sQ49_spl
| ~ sQ356_spl ),
inference(contradiction_clause,[status(thm)],[f5243]) ).
fof(f5265,plain,
( ~ sQ289_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f3168,f65]) ).
fof(f5269,plain,
( ~ sQ310_spl
| ~ sQ77_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f355,f3766]) ).
fof(f5272,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f355,f4287]) ).
fof(f5273,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f355,f4286]) ).
fof(f5285,definition,
! [X0] :
( sQ357_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f5286,plain,
! [X0] :
( ~ sQ357_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f5285]) ).
fof(f5288,plain,
( ~ sQ77_spl
| sQ146_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f5272,f5285,f720,f354]) ).
fof(f5289,plain,
( ~ sQ77_spl
| sQ139_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f5273,f5285,f646,f354]) ).
fof(f5294,plain,
! [X0] :
( ~ sQ357_spl
| ~ product(X0,e_2,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f5286]) ).
fof(f5295,plain,
( ~ sQ119_spl
| ~ sQ357_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f494,f5294]) ).
fof(f5296,plain,
( ~ sQ119_spl
| ~ sQ357_spl ),
inference(contradiction_clause,[status(thm)],[f5295]) ).
fof(f5297,plain,
( ~ sQ18_spl
| ~ sQ332_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f4321,f151]) ).
fof(f5298,plain,
( ~ sQ292_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f3260,f65]) ).
fof(f5307,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f374,f1854]) ).
fof(f5308,plain,
( ~ sQ308_spl
| ~ sQ83_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f374,f3603]) ).
fof(f5309,plain,
( ~ sQ140_spl
| ~ sQ83_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f374,f659]) ).
fof(f5310,plain,
( ~ sQ191_spl
| ~ sQ83_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f374,f1232]) ).
fof(f5311,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ83_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f374,f2469]) ).
fof(f5312,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ83_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f374,f2470]) ).
fof(f5313,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ83_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f374,f1858]) ).
fof(f5314,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ83_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f374,f1859]) ).
fof(f5315,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ83_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f374,f657]) ).
fof(f5316,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ83_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f374,f656]) ).
fof(f5317,plain,
( ~ sQ83_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f374,f81]) ).
fof(f5318,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f374,f64]) ).
fof(f5319,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f374,f62]) ).
fof(f5320,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f374,f60]) ).
fof(f5321,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f374,f71]) ).
fof(f5322,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f374,f70]) ).
fof(f5323,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f374,f69]) ).
fof(f5324,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f374,f67]) ).
fof(f5325,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f5307,f932,f373,f421]) ).
fof(f5326,definition,
! [X0] :
( sQ358_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f5327,plain,
! [X0] :
( ~ sQ358_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f5326]) ).
fof(f5329,plain,
( ~ sQ113_spl
| ~ sQ83_spl
| sQ174_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f5311,f5326,f1014,f373,f474]) ).
fof(f5330,plain,
( ~ sQ113_spl
| ~ sQ83_spl
| sQ135_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f5312,f5326,f610,f373,f474]) ).
fof(f5331,definition,
! [X0] :
( sQ359_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f5332,plain,
! [X0] :
( ~ sQ359_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f5331]) ).
fof(f5334,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| sQ164_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f5313,f5331,f932,f373,f421]) ).
fof(f5335,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| sQ146_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f5314,f5331,f720,f373,f421]) ).
fof(f5336,definition,
! [X0] :
( sQ360_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f5337,plain,
! [X0] :
( ~ sQ360_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f5336]) ).
fof(f5339,plain,
( ~ sQ18_spl
| ~ sQ83_spl
| sQ137_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f5315,f5336,f624,f373,f150]) ).
fof(f5340,plain,
( ~ sQ18_spl
| ~ sQ83_spl
| sQ167_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f5316,f5336,f951,f373,f150]) ).
fof(f5341,plain,
( ~ sQ83_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f5317,f662,f373]) ).
fof(f5342,definition,
! [X0] :
( sQ361_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f5343,plain,
! [X0] :
( ~ sQ361_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f5342]) ).
fof(f5345,plain,
( ~ sQ83_spl
| sQ141_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f5321,f5342,f662,f373]) ).
fof(f5346,plain,
( ~ sQ83_spl
| sQ162_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f5322,f5342,f891,f373]) ).
fof(f5347,plain,
( ~ sQ215_spl
| ~ sQ36_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f4849,f184,f213,f1603]) ).
fof(f5348,plain,
( ~ sQ75_spl
| ~ sQ98_spl
| ~ sQ342_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f4943]) ).
fof(f5349,plain,
( ~ sQ75_spl
| ~ sQ98_spl
| ~ sQ342_spl ),
inference(contradiction_clause,[status(thm)],[f5348]) ).
fof(f5353,plain,
( ~ sQ339_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f233,f4624]) ).
fof(f5354,plain,
( ~ sQ245_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f233,f2135]) ).
fof(f5374,plain,
( ~ sQ355_spl
| ~ sQ22_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f164,f5194]) ).
fof(f5376,plain,
( ~ sQ270_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f2487]) ).
fof(f5396,plain,
( ~ sQ308_spl
| ~ sQ108_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f459,f3603]) ).
fof(f5397,plain,
( ~ sQ140_spl
| ~ sQ108_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f459,f659]) ).
fof(f5398,plain,
( ~ sQ191_spl
| ~ sQ108_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f1232]) ).
fof(f5399,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ108_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f459,f1858]) ).
fof(f5400,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ108_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f459,f1859]) ).
fof(f5401,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ108_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f459,f657]) ).
fof(f5402,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ108_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f459,f656]) ).
fof(f5403,plain,
( ~ sQ108_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f459,f81]) ).
fof(f5404,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f459,f64]) ).
fof(f5405,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f459,f62]) ).
fof(f5406,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f459,f60]) ).
fof(f5407,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f459,f71]) ).
fof(f5408,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f459,f70]) ).
fof(f5409,plain,
! [X0,X1,X2] :
( ~ sQ108_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f459,f69]) ).
fof(f5410,plain,
! [X0,X1,X2] :
( ~ sQ108_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f459,f67]) ).
fof(f5411,definition,
! [X0] :
( sQ362_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f5412,plain,
! [X0] :
( ~ sQ362_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f5411]) ).
fof(f5414,plain,
( ~ sQ98_spl
| ~ sQ108_spl
| sQ164_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f5399,f5411,f932,f458,f421]) ).
fof(f5415,plain,
( ~ sQ98_spl
| ~ sQ108_spl
| sQ133_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f5400,f5411,f583,f458,f421]) ).
fof(f5416,definition,
! [X0] :
( sQ363_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f5417,plain,
! [X0] :
( ~ sQ363_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f5416]) ).
fof(f5419,plain,
( ~ sQ18_spl
| ~ sQ108_spl
| sQ150_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f5401,f5416,f753,f458,f150]) ).
fof(f5420,plain,
( ~ sQ18_spl
| ~ sQ108_spl
| sQ167_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f5402,f5416,f951,f458,f150]) ).
fof(f5421,plain,
( ~ sQ108_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f5403,f537,f458]) ).
fof(f5422,definition,
! [X0] :
( sQ364_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f5423,plain,
! [X0] :
( ~ sQ364_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f5422]) ).
fof(f5425,plain,
( ~ sQ108_spl
| sQ127_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f5407,f5422,f537,f458]) ).
fof(f5426,plain,
( ~ sQ108_spl
| sQ162_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f5408,f5422,f891,f458]) ).
fof(f5427,plain,
( ~ sQ285_spl
| ~ sQ99_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f4551,f386,f424,f3034]) ).
fof(f5428,plain,
( ~ sQ18_spl
| ~ sQ361_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f5343,f151]) ).
fof(f5437,plain,
( ~ sQ321_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f4057,f65]) ).
fof(f5438,plain,
( ~ sQ18_spl
| ~ sQ360_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f5337,f151]) ).
fof(f5439,plain,
( ~ sQ22_spl
| ~ sQ358_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f5327,f164]) ).
fof(f5440,plain,
( ~ sQ22_spl
| ~ sQ358_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f5439,f150,f5326,f163]) ).
fof(f5443,plain,
( ~ sQ10_spl
| ~ sQ200_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f1409,f126]) ).
fof(f5444,plain,
( ~ sQ183_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1134,f65]) ).
fof(f5445,plain,
( ~ sQ325_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f4173,f65]) ).
fof(f5476,plain,
( ~ sQ22_spl
| ~ sQ269_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f2482,f164]) ).
fof(f5477,plain,
( ~ sQ10_spl
| ~ sQ204_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f1466,f126]) ).
fof(f5478,plain,
( ~ sQ176_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f1045,f65]) ).
fof(f5479,plain,
( ~ sQ22_spl
| ~ sQ265_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f2448,f164]) ).
fof(f5480,plain,
( ~ sQ22_spl
| ~ sQ264_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f2443,f164]) ).
fof(f5481,plain,
( ~ sQ145_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f717,f65]) ).
fof(f5482,plain,
( ~ sQ208_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f1504,f65]) ).
fof(f5483,plain,
( ~ sQ239_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f1976,f65]) ).
fof(f5524,plain,
( ~ sQ117_spl
| ~ sQ112_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f472,f2407]) ).
fof(f5525,plain,
( ~ sQ107_spl
| ~ sQ112_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f472,f4751]) ).
fof(f5526,plain,
( ~ sQ299_spl
| ~ sQ112_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f472,f3324]) ).
fof(f5527,plain,
( ~ sQ325_spl
| ~ sQ112_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f472,f4173]) ).
fof(f5528,plain,
( ~ sQ221_spl
| ~ sQ112_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f472,f1658]) ).
fof(f5529,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ112_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f472,f2412]) ).
fof(f5530,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ112_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f472,f2411]) ).
fof(f5531,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ112_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f472,f3494]) ).
fof(f5532,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ112_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f472,f3493]) ).
fof(f5533,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ112_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f472,f4286]) ).
fof(f5534,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ112_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f472,f4287]) ).
fof(f5535,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ112_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f472,f4756]) ).
fof(f5536,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ112_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f472,f4755]) ).
fof(f5537,plain,
( ~ sQ112_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f472,f81]) ).
fof(f5538,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f472,f64]) ).
fof(f5539,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f472,f62]) ).
fof(f5540,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f472,f60]) ).
fof(f5541,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f472,f71]) ).
fof(f5542,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f472,f70]) ).
fof(f5543,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f472,f69]) ).
fof(f5544,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f472,f67]) ).
fof(f5545,plain,
( ~ sQ117_spl
| ~ sQ112_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f5524,f834,f471,f487]) ).
fof(f5546,plain,
( ~ sQ107_spl
| ~ sQ112_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f5525,f788,f471,f455]) ).
fof(f5547,plain,
( ~ sQ325_spl
| ~ sQ112_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f5527,f442,f471,f4172]) ).
fof(f5548,definition,
! [X0] :
( sQ365_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f5549,plain,
! [X0] :
( ~ sQ365_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f5548]) ).
fof(f5551,plain,
( ~ sQ117_spl
| ~ sQ112_spl
| sQ172_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f5529,f5548,f1007,f471,f487]) ).
fof(f5552,plain,
( ~ sQ117_spl
| ~ sQ112_spl
| sQ158_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f5530,f5548,f834,f471,f487]) ).
fof(f5553,plain,
( ~ sQ82_spl
| ~ sQ112_spl
| sQ133_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f5531,f5326,f583,f471,f370]) ).
fof(f5554,plain,
( ~ sQ82_spl
| ~ sQ112_spl
| sQ153_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f5532,f5326,f788,f471,f370]) ).
fof(f5555,definition,
! [X0] :
( sQ366_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f5556,plain,
! [X0] :
( ~ sQ366_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f5555]) ).
fof(f5558,plain,
( ~ sQ77_spl
| ~ sQ112_spl
| sQ136_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f5533,f5555,f617,f471,f354]) ).
fof(f5559,plain,
( ~ sQ77_spl
| ~ sQ112_spl
| sQ133_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f5534,f5555,f583,f471,f354]) ).
fof(f5560,definition,
! [X0] :
( sQ367_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f5561,plain,
! [X0] :
( ~ sQ367_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f5560]) ).
fof(f5563,plain,
( ~ sQ107_spl
| ~ sQ112_spl
| sQ172_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f5535,f5560,f1007,f471,f455]) ).
fof(f5564,plain,
( ~ sQ107_spl
| ~ sQ112_spl
| sQ153_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f5536,f5560,f788,f471,f455]) ).
fof(f5565,plain,
( ~ sQ112_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f5537,f560,f471]) ).
fof(f5566,definition,
! [X0] :
( sQ368_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f5567,plain,
! [X0] :
( ~ sQ368_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f5566]) ).
fof(f5569,plain,
( ~ sQ112_spl
| sQ130_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f5541,f5566,f560,f471]) ).
fof(f5570,plain,
( ~ sQ112_spl
| sQ155_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f5542,f5566,f809,f471]) ).
fof(f5571,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ103_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f443,f1402]) ).
fof(f5572,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ103_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f443,f1401]) ).
fof(f5573,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ103_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f443,f657]) ).
fof(f5574,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ103_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f443,f656]) ).
fof(f5575,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f443,f64]) ).
fof(f5576,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f443,f62]) ).
fof(f5577,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f443,f60]) ).
fof(f5578,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f443,f71]) ).
fof(f5579,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f443,f70]) ).
fof(f5580,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f443,f69]) ).
fof(f5581,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f443,f67]) ).
fof(f5582,plain,
( ~ sQ73_spl
| ~ sQ103_spl
| sQ130_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f5571,f3429,f560,f442,f336]) ).
fof(f5583,plain,
( ~ sQ73_spl
| ~ sQ103_spl
| sQ148_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f5572,f3429,f735,f442,f336]) ).
fof(f5584,definition,
! [X0] :
( sQ369_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f5585,plain,
! [X0] :
( ~ sQ369_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f5584]) ).
fof(f5587,plain,
( ~ sQ18_spl
| ~ sQ103_spl
| sQ150_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f5573,f5584,f753,f442,f150]) ).
fof(f5588,plain,
( ~ sQ18_spl
| ~ sQ103_spl
| sQ132_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f5574,f5584,f579,f442,f150]) ).
fof(f5589,definition,
! [X0] :
( sQ370_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f5590,plain,
! [X0] :
( ~ sQ370_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f5589]) ).
fof(f5592,plain,
( ~ sQ103_spl
| sQ127_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f5578,f5589,f537,f442]) ).
fof(f5593,plain,
( ~ sQ103_spl
| sQ126_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f5579,f5589,f533,f442]) ).
fof(f5594,plain,
( ~ sQ104_spl
| ~ sQ184_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f446,f4743]) ).
fof(f5595,plain,
( ~ sQ104_spl
| ~ sQ184_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f5594]) ).
fof(f5596,plain,
( ~ sQ336_spl
| ~ sQ55_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f280,f4480]) ).
fof(f5597,plain,
( ~ sQ296_spl
| ~ sQ55_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f280,f3309]) ).
fof(f5598,plain,
( ~ sQ188_spl
| ~ sQ55_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f280,f1201]) ).
fof(f5599,plain,
( ~ sQ181_spl
| ~ sQ55_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f280,f1114]) ).
fof(f5600,plain,
( ~ sQ168_spl
| ~ sQ55_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f280,f969]) ).
fof(f5601,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ55_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f280,f1131]) ).
fof(f5602,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ55_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f280,f1130]) ).
fof(f5603,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ55_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f280,f4053]) ).
fof(f5604,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ55_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f280,f4052]) ).
fof(f5605,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ55_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f280,f848]) ).
fof(f5606,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ55_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f280,f847]) ).
fof(f5607,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f280,f64]) ).
fof(f5608,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f280,f62]) ).
fof(f5609,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f280,f60]) ).
fof(f5610,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f280,f71]) ).
fof(f5611,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f280,f70]) ).
fof(f5612,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f280,f69]) ).
fof(f5613,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f280,f67]) ).
fof(f5614,definition,
! [X0] :
( sQ371_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f5615,plain,
! [X0] :
( ~ sQ371_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f5614]) ).
fof(f5617,plain,
( ~ sQ40_spl
| ~ sQ55_spl
| sQ153_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f5601,f5614,f788,f279,f226]) ).
fof(f5618,plain,
( ~ sQ40_spl
| ~ sQ55_spl
| sQ167_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f5602,f5614,f951,f279,f226]) ).
fof(f5619,definition,
! [X0] :
( sQ372_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f5620,plain,
! [X0] :
( ~ sQ372_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f5619]) ).
fof(f5622,plain,
( ~ sQ25_spl
| ~ sQ55_spl
| sQ153_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f5603,f5619,f788,f279,f178]) ).
fof(f5623,plain,
( ~ sQ25_spl
| ~ sQ55_spl
| sQ169_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f5604,f5619,f971,f279,f178]) ).
fof(f5624,definition,
! [X0] :
( sQ373_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f5625,plain,
! [X0] :
( ~ sQ373_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f5624]) ).
fof(f5627,plain,
( ~ sQ10_spl
| ~ sQ55_spl
| sQ136_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f5605,f5624,f617,f279,f125]) ).
fof(f5628,plain,
( ~ sQ10_spl
| ~ sQ55_spl
| sQ174_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f5606,f5624,f1014,f279,f125]) ).
fof(f5629,definition,
! [X0] :
( sQ374_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f5630,plain,
! [X0] :
( ~ sQ374_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f5629]) ).
fof(f5632,plain,
( ~ sQ55_spl
| sQ134_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f5610,f5629,f603,f279]) ).
fof(f5633,plain,
( ~ sQ55_spl
| sQ164_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f5611,f5629,f932,f279]) ).
fof(f5635,plain,
( ~ sQ40_spl
| ~ sQ25_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f179,f1126]) ).
fof(f5637,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ25_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f179,f1131]) ).
fof(f5638,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ25_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f179,f1130]) ).
fof(f5650,plain,
( ~ sQ40_spl
| ~ sQ25_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f5635,f579,f178,f226]) ).
fof(f5651,definition,
! [X0] :
( sQ375_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f5652,plain,
! [X0] :
( ~ sQ375_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f5651]) ).
fof(f5654,plain,
( ~ sQ40_spl
| ~ sQ25_spl
| sQ162_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f5637,f5651,f891,f178,f226]) ).
fof(f5655,plain,
( ~ sQ40_spl
| ~ sQ25_spl
| sQ132_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f5638,f5651,f579,f178,f226]) ).
fof(f5662,plain,
( ~ sQ22_spl
| ~ sQ368_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f5567,f164]) ).
fof(f5663,plain,
( ~ sQ22_spl
| ~ sQ367_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f5561,f164]) ).
fof(f5664,plain,
( ~ sQ22_spl
| ~ sQ366_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f5556,f164]) ).
fof(f5665,plain,
( ~ sQ374_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f5630,f65]) ).
fof(f5666,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ103_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5580,f151]) ).
fof(f5667,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5580,f65]) ).
fof(f5668,plain,
( ~ sQ18_spl
| ~ sQ103_spl
| sQ137_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f5666,f5584,f624,f442,f150]) ).
fof(f5669,plain,
( ~ sQ103_spl
| sQ169_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f5667,f5589,f971,f442]) ).
fof(f5670,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ103_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5581,f151]) ).
fof(f5671,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5581,f65]) ).
fof(f5672,plain,
( ~ sQ18_spl
| ~ sQ103_spl
| sQ148_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f5670,f5584,f735,f442,f150]) ).
fof(f5673,plain,
( ~ sQ103_spl
| sQ164_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f5671,f5589,f932,f442]) ).
fof(f5684,plain,
( ~ sQ6_spl
| ~ sQ375_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f5652,f113]) ).
fof(f5697,plain,
( ~ sQ307_spl
| ~ sQ39_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f223,f3595]) ).
fof(f5698,plain,
( ~ sQ278_spl
| ~ sQ39_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f223,f2879]) ).
fof(f5699,plain,
( ~ sQ223_spl
| ~ sQ39_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f223,f1755]) ).
fof(f5700,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ39_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f223,f1524]) ).
fof(f5701,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ39_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f223,f1523]) ).
fof(f5702,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ39_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f223,f1835]) ).
fof(f5703,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ39_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f223,f1834]) ).
fof(f5713,plain,
( ~ sQ69_spl
| ~ sQ39_spl
| sQ174_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f5700,f3846,f1014,f222,f323]) ).
fof(f5714,plain,
( ~ sQ69_spl
| ~ sQ39_spl
| sQ158_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f5701,f3846,f834,f222,f323]) ).
fof(f5715,plain,
( ~ sQ99_spl
| ~ sQ39_spl
| sQ167_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f5702,f1836,f951,f222,f424]) ).
fof(f5716,plain,
( ~ sQ99_spl
| ~ sQ39_spl
| sQ134_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f5703,f1836,f603,f222,f424]) ).
fof(f5723,plain,
( ~ sQ262_spl
| ~ sQ46_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f246,f2414]) ).
fof(f5724,plain,
( ~ sQ365_spl
| ~ sQ46_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f246,f5549]) ).
fof(f5726,plain,
( ~ sQ263_spl
| ~ sQ46_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f246,f2419]) ).
fof(f5727,plain,
( ~ sQ314_spl
| ~ sQ46_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f246,f3880]) ).
fof(f5728,plain,
( ~ sQ257_spl
| ~ sQ46_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f246,f2356]) ).
fof(f5729,plain,
( ~ sQ258_spl
| ~ sQ46_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f246,f2381]) ).
fof(f5730,plain,
( ~ sQ261_spl
| ~ sQ46_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f246,f2396]) ).
fof(f5731,plain,
( ~ sQ313_spl
| ~ sQ46_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f246,f3875]) ).
fof(f5732,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f246,f1028]) ).
fof(f5733,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f246,f1027]) ).
fof(f5734,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ46_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f246,f3113]) ).
fof(f5735,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ46_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f246,f3114]) ).
fof(f5743,plain,
( ~ sQ261_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5730,f65]) ).
fof(f5744,plain,
( ~ sQ261_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f5743]) ).
fof(f5745,plain,
( ~ sQ46_spl
| sQ162_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f5732,f2945,f891,f245]) ).
fof(f5746,plain,
( ~ sQ46_spl
| sQ172_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f5733,f2945,f1007,f245]) ).
fof(f5747,plain,
( ~ sQ6_spl
| ~ sQ46_spl
| sQ127_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f5734,f4479,f537,f245,f112]) ).
fof(f5748,plain,
( ~ sQ6_spl
| ~ sQ46_spl
| sQ169_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f5735,f4479,f971,f245,f112]) ).
fof(f5752,plain,
( ~ sQ117_spl
| ~ sQ107_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f456,f2407]) ).
fof(f5754,plain,
( ~ sQ82_spl
| ~ sQ107_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f456,f3488]) ).
fof(f5756,plain,
( ~ sQ335_spl
| ~ sQ107_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f456,f4463]) ).
fof(f5757,plain,
( ~ sQ323_spl
| ~ sQ107_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f456,f4103]) ).
fof(f5764,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ107_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f456,f2412]) ).
fof(f5765,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ107_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f456,f2411]) ).
fof(f5766,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ107_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f456,f3494]) ).
fof(f5767,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ107_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f456,f3493]) ).
fof(f5779,plain,
( ~ sQ117_spl
| ~ sQ107_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f5752,f951,f455,f487]) ).
fof(f5780,plain,
( ~ sQ82_spl
| ~ sQ107_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f5754,f583,f455,f370]) ).
fof(f5785,definition,
! [X0] :
( sQ376_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f5786,plain,
! [X0] :
( ~ sQ376_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f5785]) ).
fof(f5788,plain,
( ~ sQ117_spl
| ~ sQ107_spl
| sQ172_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f5764,f5785,f1007,f455,f487]) ).
fof(f5789,plain,
( ~ sQ117_spl
| ~ sQ107_spl
| sQ167_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f5765,f5785,f951,f455,f487]) ).
fof(f5790,definition,
! [X0] :
( sQ377_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f5791,plain,
! [X0] :
( ~ sQ377_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f5790]) ).
fof(f5793,plain,
( ~ sQ82_spl
| ~ sQ107_spl
| sQ133_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f5766,f5790,f583,f455,f370]) ).
fof(f5794,plain,
( ~ sQ82_spl
| ~ sQ107_spl
| sQ162_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f5767,f5790,f891,f455,f370]) ).
fof(f5801,plain,
( ~ sQ319_spl
| ~ sQ98_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f4916,f380,f421,f4010]) ).
fof(f5803,plain,
( ~ sQ119_spl
| ~ sQ347_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f4970,f468,f4896,f493]) ).
fof(f5804,plain,
( ~ sQ314_spl
| ~ sQ46_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f5727,f232,f245,f3879]) ).
fof(f5805,plain,
( ~ sQ98_spl
| ~ sQ343_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f4942,f376,f4768,f421]) ).
fof(f5806,plain,
( ~ sQ335_spl
| ~ sQ107_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f5756,f439,f455,f4462]) ).
fof(f5808,plain,
( ~ sQ119_spl
| ~ sQ348_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f4969,f439,f4901,f493]) ).
fof(f5818,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ119_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2343,f223]) ).
fof(f5820,plain,
( ~ sQ39_spl
| ~ sQ119_spl
| sQ158_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f5818,f2350,f834,f493,f222]) ).
fof(f5822,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ119_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f2344,f223]) ).
fof(f5824,plain,
( ~ sQ39_spl
| ~ sQ119_spl
| sQ164_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f5822,f2350,f932,f493,f222]) ).
fof(f5838,plain,
( ~ sQ46_spl
| ~ sQ376_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f5786,f246]) ).
fof(f5840,plain,
( ~ sQ152_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f785,f65]) ).
fof(f5843,plain,
( ~ sQ46_spl
| ~ sQ256_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f2351,f246]) ).
fof(f5844,plain,
( ~ sQ321_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f4057,f65]) ).
fof(f5856,definition,
! [X0] :
( sQ378_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f5857,plain,
! [X0] :
( ~ sQ378_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f5856]) ).
fof(f5862,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ102_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3023,f456]) ).
fof(f5865,plain,
( ~ sQ107_spl
| ~ sQ102_spl
| sQ172_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f5862,f5856,f1007,f439,f455]) ).
fof(f5872,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ84_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2177,f223]) ).
fof(f5873,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2177,f65]) ).
fof(f5874,plain,
( ~ sQ39_spl
| ~ sQ84_spl
| sQ153_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f5872,f2184,f788,f376,f222]) ).
fof(f5875,plain,
( ~ sQ84_spl
| sQ126_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f5873,f2189,f533,f376]) ).
fof(f5876,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ84_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2178,f223]) ).
fof(f5877,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2178,f65]) ).
fof(f5878,plain,
( ~ sQ39_spl
| ~ sQ84_spl
| sQ167_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f5876,f2184,f951,f376,f222]) ).
fof(f5879,plain,
( ~ sQ84_spl
| sQ132_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f5877,f2189,f579,f376]) ).
fof(f5880,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ74_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1387,f223]) ).
fof(f5882,plain,
( ~ sQ39_spl
| ~ sQ74_spl
| sQ174_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f5880,f4812,f1014,f339,f222]) ).
fof(f5884,plain,
( ~ sQ339_spl
| ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f5353,f181,f232,f4623]) ).
fof(f5885,plain,
( ~ sQ219_spl
| ~ sQ36_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f4853,f181,f213,f1636]) ).
fof(f5910,plain,
( ~ sQ107_spl
| ~ sQ102_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f3018,f456]) ).
fof(f5911,plain,
( ~ sQ107_spl
| ~ sQ102_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f5910,f971,f439,f455]) ).
fof(f5912,plain,
( ~ sQ104_spl
| ~ sQ250_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f446,f2362]) ).
fof(f5913,plain,
( ~ sQ104_spl
| ~ sQ250_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f5912]) ).
fof(f5917,plain,
( ~ sQ310_spl
| ~ sQ77_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f355,f3766]) ).
fof(f5924,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ77_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f355,f4756]) ).
fof(f5925,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ77_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f355,f4755]) ).
fof(f5939,plain,
( ~ sQ107_spl
| ~ sQ77_spl
| sQ135_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f5924,f5172,f610,f354,f455]) ).
fof(f5940,plain,
( ~ sQ107_spl
| ~ sQ77_spl
| sQ126_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f5925,f5172,f533,f354,f455]) ).
fof(f5943,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ51_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f267,f1197]) ).
fof(f5944,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ51_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f267,f1196]) ).
fof(f5945,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ51_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f267,f3113]) ).
fof(f5946,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ51_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f267,f3114]) ).
fof(f5947,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f267,f64]) ).
fof(f5948,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f267,f62]) ).
fof(f5949,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f267,f60]) ).
fof(f5950,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f267,f71]) ).
fof(f5951,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f267,f70]) ).
fof(f5952,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_5,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f267,f69]) ).
fof(f5953,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f267,f67]) ).
fof(f5954,definition,
! [X0] :
( sQ379_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f5955,plain,
! [X0] :
( ~ sQ379_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f5954]) ).
fof(f5957,plain,
( ~ sQ36_spl
| ~ sQ51_spl
| sQ153_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f5943,f5954,f788,f266,f213]) ).
fof(f5958,plain,
( ~ sQ36_spl
| ~ sQ51_spl
| sQ129_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f5944,f5954,f556,f266,f213]) ).
fof(f5959,definition,
! [X0] :
( sQ380_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f5960,plain,
! [X0] :
( ~ sQ380_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f5959]) ).
fof(f5962,plain,
( ~ sQ6_spl
| ~ sQ51_spl
| sQ126_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f5945,f5959,f533,f266,f112]) ).
fof(f5963,plain,
( ~ sQ6_spl
| ~ sQ51_spl
| sQ136_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f5946,f5959,f617,f266,f112]) ).
fof(f5964,definition,
! [X0] :
( sQ381_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f5965,plain,
! [X0] :
( ~ sQ381_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f5964]) ).
fof(f5967,plain,
( ~ sQ51_spl
| sQ158_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f5950,f5964,f834,f266]) ).
fof(f5968,plain,
( ~ sQ51_spl
| sQ132_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f5951,f5964,f579,f266]) ).
fof(f5969,plain,
( ~ sQ217_spl
| ~ sQ111_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f469,f1614]) ).
fof(f5970,plain,
( ~ sQ209_spl
| ~ sQ111_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f469,f1526]) ).
fof(f5971,plain,
( ~ sQ351_spl
| ~ sQ111_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f469,f5049]) ).
fof(f5972,plain,
( ~ sQ312_spl
| ~ sQ111_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f469,f3847]) ).
fof(f5973,plain,
( ~ sQ216_spl
| ~ sQ111_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f469,f1609]) ).
fof(f5974,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ111_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f469,f1197]) ).
fof(f5975,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ111_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f469,f1196]) ).
fof(f5976,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ111_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f469,f3113]) ).
fof(f5977,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ111_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f469,f3114]) ).
fof(f5978,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f469,f64]) ).
fof(f5979,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f469,f62]) ).
fof(f5980,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f469,f60]) ).
fof(f5981,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f469,f71]) ).
fof(f5982,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f469,f70]) ).
fof(f5983,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f469,f69]) ).
fof(f5984,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(e_1,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f469,f67]) ).
fof(f5985,plain,
( ~ sQ209_spl
| ~ sQ111_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f5970,f445,f468,f1525]) ).
fof(f5986,plain,
( ~ sQ312_spl
| ~ sQ111_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f5972,f455,f468,f3846]) ).
fof(f5987,plain,
( ~ sQ36_spl
| ~ sQ111_spl
| sQ127_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f5974,f2447,f537,f468,f213]) ).
fof(f5988,plain,
( ~ sQ36_spl
| ~ sQ111_spl
| sQ155_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f5975,f2447,f809,f468,f213]) ).
fof(f5989,definition,
! [X0] :
( sQ382_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f5990,plain,
! [X0] :
( ~ sQ382_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f5989]) ).
fof(f5992,plain,
( ~ sQ6_spl
| ~ sQ111_spl
| sQ153_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f5976,f5989,f788,f468,f112]) ).
fof(f5993,plain,
( ~ sQ6_spl
| ~ sQ111_spl
| sQ150_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f5977,f5989,f753,f468,f112]) ).
fof(f5994,definition,
! [X0] :
( sQ383_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f5995,plain,
! [X0] :
( ~ sQ383_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f5994]) ).
fof(f5997,plain,
( ~ sQ111_spl
| sQ133_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f5981,f5994,f583,f468]) ).
fof(f5998,plain,
( ~ sQ111_spl
| sQ158_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f5982,f5994,f834,f468]) ).
fof(f5999,plain,
( ~ sQ216_spl
| ~ sQ111_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f5973,f442,f468,f1608]) ).
fof(f6003,plain,
( ~ sQ378_spl
| ~ sQ98_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f422,f5857]) ).
fof(f6004,plain,
( ~ sQ377_spl
| ~ sQ98_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f422,f5791]) ).
fof(f6007,plain,
( ~ sQ362_spl
| ~ sQ98_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f422,f5412]) ).
fof(f6008,plain,
( ~ sQ363_spl
| ~ sQ98_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f422,f5417]) ).
fof(f6009,plain,
( ~ sQ364_spl
| ~ sQ98_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f422,f5423]) ).
fof(f6010,plain,
( ~ sQ353_spl
| ~ sQ98_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f422,f5173]) ).
fof(f6011,plain,
( ~ sQ327_spl
| ~ sQ98_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f422,f4261]) ).
fof(f6012,plain,
( ~ sQ341_spl
| ~ sQ98_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f422,f4759]) ).
fof(f6030,plain,
( ~ sQ381_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f5965,f65]) ).
fof(f6031,plain,
( ~ sQ22_spl
| ~ sQ382_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f5990,f164]) ).
fof(f6032,plain,
( ~ sQ22_spl
| ~ sQ383_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f5995,f164]) ).
fof(f6034,plain,
( ~ sQ175_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1030,f65]) ).
fof(f6035,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f5983,f469]) ).
fof(f6036,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ111_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f5983,f113]) ).
fof(f6037,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f5983,f65]) ).
fof(f6038,plain,
( ~ sQ111_spl
| sQ155_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f6035,f5089,f809,f468]) ).
fof(f6039,plain,
( ~ sQ6_spl
| ~ sQ111_spl
| sQ174_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f6036,f5989,f1014,f468,f112]) ).
fof(f6040,plain,
( ~ sQ111_spl
| sQ144_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f6037,f5994,f689,f468]) ).
fof(f6041,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f5984,f469]) ).
fof(f6042,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ111_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f5984,f113]) ).
fof(f6043,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f5984,f65]) ).
fof(f6044,plain,
( ~ sQ111_spl
| sQ172_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f6041,f5089,f1007,f468]) ).
fof(f6045,plain,
( ~ sQ6_spl
| ~ sQ111_spl
| sQ148_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f6042,f5989,f735,f468,f112]) ).
fof(f6046,plain,
( ~ sQ111_spl
| sQ135_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f6043,f5994,f610,f468]) ).
fof(f6051,plain,
( ~ sQ111_spl
| ~ sQ211_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f1547,f469]) ).
fof(f6052,plain,
( ~ sQ321_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f4057,f65]) ).
fof(f6061,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ46_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1027,f469]) ).
fof(f6064,plain,
( ~ sQ111_spl
| ~ sQ46_spl
| sQ134_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f6061,f2442,f603,f245,f468]) ).
fof(f6067,plain,
( ~ sQ22_spl
| ~ sQ264_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f2443,f164]) ).
fof(f6068,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ46_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1028,f469]) ).
fof(f6071,plain,
( ~ sQ111_spl
| ~ sQ46_spl
| sQ127_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f6068,f2442,f537,f245,f468]) ).
fof(f6074,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ68_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1539,f422]) ).
fof(f6076,plain,
( ~ sQ98_spl
| ~ sQ68_spl
| sQ144_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f6074,f4576,f689,f320,f421]) ).
fof(f6078,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ68_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1538,f422]) ).
fof(f6080,plain,
( ~ sQ98_spl
| ~ sQ68_spl
| sQ133_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f6078,f4576,f583,f320,f421]) ).
fof(f6082,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ103_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5580,f422]) ).
fof(f6084,definition,
! [X0] :
( sQ384_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f6085,plain,
! [X0] :
( ~ sQ384_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f6084]) ).
fof(f6087,plain,
( ~ sQ98_spl
| ~ sQ103_spl
| sQ150_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f6082,f6084,f753,f442,f421]) ).
fof(f6089,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ103_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5581,f422]) ).
fof(f6091,plain,
( ~ sQ98_spl
| ~ sQ103_spl
| sQ135_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f6089,f6084,f610,f442,f421]) ).
fof(f6093,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ51_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f5952,f469]) ).
fof(f6094,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ51_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f5952,f113]) ).
fof(f6095,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f5952,f65]) ).
fof(f6096,plain,
( ~ sQ111_spl
| ~ sQ51_spl
| sQ136_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f6093,f5193,f617,f266,f468]) ).
fof(f6097,plain,
( ~ sQ6_spl
| ~ sQ51_spl
| sQ169_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f6094,f5959,f971,f266,f112]) ).
fof(f6098,plain,
( ~ sQ51_spl
| sQ137_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f6095,f5964,f624,f266]) ).
fof(f6099,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ51_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f5953,f469]) ).
fof(f6100,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ51_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f5953,f113]) ).
fof(f6101,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f5953,f65]) ).
fof(f6102,plain,
( ~ sQ111_spl
| ~ sQ51_spl
| sQ130_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f6099,f5193,f560,f266,f468]) ).
fof(f6103,plain,
( ~ sQ6_spl
| ~ sQ51_spl
| sQ129_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f6100,f5959,f556,f266,f112]) ).
fof(f6104,plain,
( ~ sQ51_spl
| sQ144_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f6101,f5964,f689,f266]) ).
fof(f6111,plain,
( ~ sQ245_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f233,f2135]) ).
fof(f6116,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ42_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f233,f4286]) ).
fof(f6117,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ42_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f233,f4287]) ).
fof(f6118,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ42_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f233,f4756]) ).
fof(f6119,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ42_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f233,f4755]) ).
fof(f6131,plain,
( ~ sQ77_spl
| ~ sQ42_spl
| sQ137_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f6116,f4288,f624,f232,f354]) ).
fof(f6132,plain,
( ~ sQ77_spl
| ~ sQ42_spl
| sQ167_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f6117,f4288,f951,f232,f354]) ).
fof(f6133,plain,
( ~ sQ107_spl
| ~ sQ42_spl
| sQ164_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f6118,f4758,f932,f232,f455]) ).
fof(f6134,plain,
( ~ sQ107_spl
| ~ sQ42_spl
| sQ141_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f6119,f4758,f662,f232,f455]) ).
fof(f6140,plain,
( ~ sQ235_spl
| ~ sQ15_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f142,f1929]) ).
fof(f6141,plain,
( ~ sQ359_spl
| ~ sQ15_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f142,f5332]) ).
fof(f6142,plain,
( ~ sQ338_spl
| ~ sQ15_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f142,f4577]) ).
fof(f6143,plain,
( ~ sQ246_spl
| ~ sQ15_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f142,f2152]) ).
fof(f6145,plain,
( ~ sQ231_spl
| ~ sQ15_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f142,f1872]) ).
fof(f6146,plain,
( ~ sQ279_spl
| ~ sQ15_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f142,f2916]) ).
fof(f6147,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ15_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f142,f4053]) ).
fof(f6148,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ15_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f142,f4052]) ).
fof(f6158,plain,
( ~ sQ25_spl
| ~ sQ15_spl
| sQ126_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f6147,f3313,f533,f141,f178]) ).
fof(f6159,plain,
( ~ sQ25_spl
| ~ sQ15_spl
| sQ137_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f6148,f3313,f624,f141,f178]) ).
fof(f6167,plain,
( ~ sQ371_spl
| ~ sQ13_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f135,f5615]) ).
fof(f6168,plain,
( ~ sQ372_spl
| ~ sQ13_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f135,f5620]) ).
fof(f6169,plain,
( ~ sQ373_spl
| ~ sQ13_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f135,f5625]) ).
fof(f6170,plain,
( ~ sQ309_spl
| ~ sQ13_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f135,f3753]) ).
fof(f6171,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ13_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f135,f5581]) ).
fof(f6172,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ13_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f135,f5580]) ).
fof(f6173,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ13_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f135,f1538]) ).
fof(f6174,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ13_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f135,f1539]) ).
fof(f6175,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f135,f783]) ).
fof(f6176,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f135,f782]) ).
fof(f6177,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f135,f1858]) ).
fof(f6178,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f135,f1859]) ).
fof(f6186,plain,
( ~ sQ371_spl
| ~ sQ13_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f6167,f112,f134,f5614]) ).
fof(f6187,plain,
( ~ sQ103_spl
| ~ sQ13_spl
| sQ148_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f6171,f3434,f735,f134,f442]) ).
fof(f6188,plain,
( ~ sQ103_spl
| ~ sQ13_spl
| sQ136_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f6172,f3434,f617,f134,f442]) ).
fof(f6189,plain,
( ~ sQ68_spl
| ~ sQ13_spl
| sQ158_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f6173,f1603,f834,f134,f320]) ).
fof(f6190,plain,
( ~ sQ68_spl
| ~ sQ13_spl
| sQ129_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f6174,f1603,f556,f134,f320]) ).
fof(f6191,plain,
( ~ sQ13_spl
| sQ139_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f6175,f858,f646,f134]) ).
fof(f6192,plain,
( ~ sQ13_spl
| sQ155_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f6176,f858,f809,f134]) ).
fof(f6193,plain,
( ~ sQ98_spl
| ~ sQ13_spl
| sQ134_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f6177,f1928,f603,f134,f421]) ).
fof(f6194,plain,
( ~ sQ98_spl
| ~ sQ13_spl
| sQ132_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f6178,f1928,f579,f134,f421]) ).
fof(f6197,plain,
( ~ sQ111_spl
| ~ sQ215_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f1604,f469]) ).
fof(f6201,plain,
( ~ sQ334_spl
| ~ sQ84_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f377,f4362]) ).
fof(f6202,plain,
( ~ sQ345_spl
| ~ sQ84_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f377,f4782]) ).
fof(f6204,plain,
( ~ sQ297_spl
| ~ sQ84_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f377,f3314]) ).
fof(f6205,plain,
( ~ sQ324_spl
| ~ sQ84_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f377,f4133]) ).
fof(f6206,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ84_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f377,f2344]) ).
fof(f6207,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ84_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f377,f2343]) ).
fof(f6210,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ84_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f377,f1386]) ).
fof(f6211,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ84_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f377,f1387]) ).
fof(f6212,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f377,f2178]) ).
fof(f6213,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f377,f2177]) ).
fof(f6221,plain,
( ~ sQ345_spl
| ~ sQ84_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f6202,f354,f376,f4781]) ).
fof(f6222,definition,
! [X0] :
( sQ385_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f6223,plain,
! [X0] :
( ~ sQ385_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f6222]) ).
fof(f6225,plain,
( ~ sQ119_spl
| ~ sQ84_spl
| sQ135_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f6206,f6222,f610,f376,f493]) ).
fof(f6226,plain,
( ~ sQ119_spl
| ~ sQ84_spl
| sQ167_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f6207,f6222,f951,f376,f493]) ).
fof(f6229,plain,
( ~ sQ74_spl
| ~ sQ84_spl
| sQ164_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f6210,f3283,f932,f376,f339]) ).
fof(f6230,plain,
( ~ sQ74_spl
| ~ sQ84_spl
| sQ144_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f6211,f3283,f689,f376,f339]) ).
fof(f6231,definition,
! [X0] :
( sQ386_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f6232,plain,
! [X0] :
( ~ sQ386_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f6231]) ).
fof(f6234,plain,
( ~ sQ84_spl
| sQ146_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f6212,f6231,f720,f376]) ).
fof(f6235,plain,
( ~ sQ84_spl
| sQ162_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f6213,f6231,f891,f376]) ).
fof(f6238,plain,
! [X0] :
( ~ sQ386_spl
| ~ product(X0,e_2,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f6232]) ).
fof(f6241,plain,
( ~ sQ301_spl
| ~ sQ74_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f340,f3435]) ).
fof(f6243,plain,
( ~ sQ384_spl
| ~ sQ74_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f340,f6085]) ).
fof(f6244,plain,
( ~ sQ369_spl
| ~ sQ74_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f340,f5585]) ).
fof(f6245,plain,
( ~ sQ370_spl
| ~ sQ74_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f340,f5590]) ).
fof(f6246,plain,
( ~ sQ283_spl
| ~ sQ74_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f340,f3025]) ).
fof(f6247,plain,
( ~ sQ340_spl
| ~ sQ74_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f340,f4655]) ).
fof(f6248,plain,
( ~ sQ350_spl
| ~ sQ74_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f340,f4980]) ).
fof(f6249,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ74_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f340,f2344]) ).
fof(f6250,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ74_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f340,f2343]) ).
fof(f6251,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ74_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f340,f1143]) ).
fof(f6252,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ74_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f340,f1144]) ).
fof(f6253,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f340,f1386]) ).
fof(f6254,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f340,f1387]) ).
fof(f6262,plain,
( ~ sQ369_spl
| ~ sQ74_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f6244,f266,f339,f5584]) ).
fof(f6263,plain,
( ~ sQ350_spl
| ~ sQ74_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f6248,f285,f339,f4979]) ).
fof(f6264,definition,
! [X0] :
( sQ387_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f6265,plain,
! [X0] :
( ~ sQ387_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f6264]) ).
fof(f6267,plain,
( ~ sQ119_spl
| ~ sQ74_spl
| sQ134_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f6249,f6264,f603,f339,f493]) ).
fof(f6268,plain,
( ~ sQ119_spl
| ~ sQ74_spl
| sQ133_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f6250,f6264,f583,f339,f493]) ).
fof(f6269,plain,
( ~ sQ39_spl
| ~ sQ74_spl
| sQ130_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f6251,f4812,f560,f339,f222]) ).
fof(f6270,plain,
( ~ sQ39_spl
| ~ sQ74_spl
| sQ153_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f6252,f4812,f788,f339,f222]) ).
fof(f6271,plain,
( ~ sQ74_spl
| sQ172_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f6253,f2984,f1007,f339]) ).
fof(f6272,plain,
( ~ sQ74_spl
| sQ155_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f6254,f2984,f809,f339]) ).
fof(f6275,plain,
( ~ sQ26_spl
| ~ sQ278_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f182,f5698]) ).
fof(f6276,plain,
( ~ sQ26_spl
| ~ sQ278_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f6275]) ).
fof(f6277,plain,
( ~ sQ321_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f4057,f65]) ).
fof(f6286,plain,
( ~ sQ198_spl
| ~ sQ85_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f381,f1389]) ).
fof(f6287,plain,
( ~ sQ346_spl
| ~ sQ85_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f381,f4813]) ).
fof(f6288,plain,
( ~ sQ199_spl
| ~ sQ85_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f381,f1404]) ).
fof(f6289,plain,
( ~ sQ224_spl
| ~ sQ85_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f381,f1771]) ).
fof(f6290,plain,
( ~ sQ210_spl
| ~ sQ85_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f381,f1542]) ).
fof(f6291,plain,
( ~ sQ206_spl
| ~ sQ85_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f381,f1476]) ).
fof(f6292,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ85_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f381,f4053]) ).
fof(f6293,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ85_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f381,f4052]) ).
fof(f6294,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ85_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f381,f731]) ).
fof(f6295,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ85_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f381,f730]) ).
fof(f6296,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f381,f64]) ).
fof(f6297,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f381,f62]) ).
fof(f6298,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f381,f60]) ).
fof(f6299,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f381,f71]) ).
fof(f6300,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f381,f70]) ).
fof(f6301,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| equalish(e_3,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f381,f69]) ).
fof(f6302,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| equalish(e_2,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f381,f67]) ).
fof(f6303,definition,
! [X0] :
( sQ388_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f6304,plain,
! [X0] :
( ~ sQ388_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f6303]) ).
fof(f6306,plain,
( ~ sQ25_spl
| ~ sQ85_spl
| sQ141_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f6292,f6303,f662,f380,f178]) ).
fof(f6307,plain,
( ~ sQ25_spl
| ~ sQ85_spl
| sQ136_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f6293,f6303,f617,f380,f178]) ).
fof(f6308,plain,
( ~ sQ15_spl
| ~ sQ85_spl
| sQ137_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f6294,f4623,f624,f380,f141]) ).
fof(f6309,plain,
( ~ sQ15_spl
| ~ sQ85_spl
| sQ158_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f6295,f4623,f834,f380,f141]) ).
fof(f6310,definition,
! [X0] :
( sQ389_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f6311,plain,
! [X0] :
( ~ sQ389_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f6310]) ).
fof(f6313,plain,
( ~ sQ85_spl
| sQ135_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f6299,f6310,f610,f380]) ).
fof(f6314,plain,
( ~ sQ85_spl
| sQ134_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f6300,f6310,f603,f380]) ).
fof(f6315,plain,
( ~ sQ42_spl
| ~ sQ388_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f6304,f233]) ).
fof(f6316,plain,
( ~ sQ389_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f6311,f65]) ).
fof(f6317,plain,
( ~ sQ42_spl
| ~ sQ339_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f4624,f233]) ).
fof(f6318,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f6301,f381]) ).
fof(f6319,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ85_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f6301,f142]) ).
fof(f6320,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f6301,f65]) ).
fof(f6321,plain,
( ~ sQ85_spl
| sQ155_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f6318,f3973,f809,f380]) ).
fof(f6322,plain,
( ~ sQ15_spl
| ~ sQ85_spl
| sQ144_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f6319,f4623,f689,f380,f141]) ).
fof(f6323,plain,
( ~ sQ85_spl
| sQ130_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f6320,f6310,f560,f380]) ).
fof(f6324,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f6302,f381]) ).
fof(f6325,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ85_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f6302,f142]) ).
fof(f6326,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f6302,f65]) ).
fof(f6327,plain,
( ~ sQ85_spl
| sQ146_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f6324,f3973,f720,f380]) ).
fof(f6328,plain,
( ~ sQ15_spl
| ~ sQ85_spl
| sQ132_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f6325,f4623,f579,f380,f141]) ).
fof(f6329,plain,
( ~ sQ85_spl
| sQ133_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f6326,f6310,f583,f380]) ).
fof(f6336,plain,
( ~ sQ379_spl
| ~ sQ39_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f223,f5955]) ).
fof(f6337,plain,
( ~ sQ380_spl
| ~ sQ39_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f223,f5960]) ).
fof(f6338,plain,
( ~ sQ307_spl
| ~ sQ39_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f223,f3595]) ).
fof(f6339,plain,
( ~ sQ223_spl
| ~ sQ39_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f223,f1755]) ).
fof(f6344,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ39_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f223,f1386]) ).
fof(f6357,plain,
( ~ sQ74_spl
| ~ sQ39_spl
| sQ134_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f6344,f4812,f603,f222,f339]) ).
fof(f6364,plain,
( ~ sQ330_spl
| ~ sQ119_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f494,f4294]) ).
fof(f6365,plain,
( ~ sQ331_spl
| ~ sQ119_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f494,f4299]) ).
fof(f6366,plain,
( ~ sQ291_spl
| ~ sQ119_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f494,f3254]) ).
fof(f6367,plain,
( ~ sQ329_spl
| ~ sQ119_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f494,f4289]) ).
fof(f6372,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ119_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f494,f1386]) ).
fof(f6373,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ119_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f494,f1387]) ).
fof(f6385,plain,
( ~ sQ74_spl
| ~ sQ119_spl
| sQ135_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f6372,f6264,f610,f493,f339]) ).
fof(f6386,plain,
( ~ sQ74_spl
| ~ sQ119_spl
| sQ130_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f6373,f6264,f560,f493,f339]) ).
fof(f6391,plain,
( ~ sQ387_spl
| ~ sQ46_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f246,f6265]) ).
fof(f6393,plain,
( ~ sQ256_spl
| ~ sQ46_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f246,f2351]) ).
fof(f6394,plain,
( ~ sQ376_spl
| ~ sQ46_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f246,f5786]) ).
fof(f6395,plain,
( ~ sQ365_spl
| ~ sQ46_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f246,f5549]) ).
fof(f6396,plain,
( ~ sQ257_spl
| ~ sQ46_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f246,f2356]) ).
fof(f6398,plain,
( ~ sQ313_spl
| ~ sQ46_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f246,f3875]) ).
fof(f6399,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ46_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f246,f5953]) ).
fof(f6400,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ46_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f246,f5952]) ).
fof(f6403,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ46_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f246,f5984]) ).
fof(f6404,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ46_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f246,f5983]) ).
fof(f6414,definition,
! [X0] :
( sQ390_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f6415,plain,
! [X0] :
( ~ sQ390_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f6414]) ).
fof(f6417,plain,
( ~ sQ51_spl
| ~ sQ46_spl
| sQ174_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f6399,f6414,f1014,f245,f266]) ).
fof(f6418,plain,
( ~ sQ51_spl
| ~ sQ46_spl
| sQ150_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f6400,f6414,f753,f245,f266]) ).
fof(f6421,plain,
( ~ sQ111_spl
| ~ sQ46_spl
| sQ164_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f6403,f2442,f932,f245,f468]) ).
fof(f6422,plain,
( ~ sQ111_spl
| ~ sQ46_spl
| sQ130_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f6404,f2442,f560,f245,f468]) ).
fof(f6427,plain,
( ~ sQ39_spl
| ~ sQ390_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f6415,f223]) ).
fof(f6428,plain,
( ~ sQ68_spl
| ~ sQ386_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f321,f6238]) ).
fof(f6429,plain,
( ~ sQ68_spl
| ~ sQ386_spl ),
inference(contradiction_clause,[status(thm)],[f6428]) ).
fof(f6430,plain,
( ~ sQ46_spl
| ~ sQ385_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f6223,f246]) ).
fof(f6431,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ84_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2178,f340]) ).
fof(f6434,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ84_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2178,f494]) ).
fof(f6436,plain,
( ~ sQ74_spl
| ~ sQ84_spl
| sQ158_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f6431,f3283,f834,f376,f339]) ).
fof(f6439,plain,
( ~ sQ119_spl
| ~ sQ84_spl
| sQ133_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f6434,f6222,f583,f376,f493]) ).
fof(f6441,plain,
( ~ sQ98_spl
| ~ sQ377_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f5791,f422]) ).
fof(f6442,plain,
( ~ sQ15_spl
| ~ sQ359_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f5332,f142]) ).
fof(f6443,plain,
( ~ sQ74_spl
| ~ sQ303_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f3496,f340]) ).
fof(f6444,plain,
( ~ sQ74_spl
| ~ sQ303_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f6443,f320,f3495,f339]) ).
fof(f6445,plain,
( ~ sQ295_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f3290,f65]) ).
fof(f6446,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ84_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2177,f340]) ).
fof(f6449,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ84_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2177,f494]) ).
fof(f6451,plain,
( ~ sQ74_spl
| ~ sQ84_spl
| sQ127_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f6446,f3283,f537,f376,f339]) ).
fof(f6454,plain,
( ~ sQ119_spl
| ~ sQ84_spl
| sQ141_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f6449,f6222,f662,f376,f493]) ).
fof(f6459,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f443,f5581]) ).
fof(f6460,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f443,f5580]) ).
fof(f6461,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ103_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f443,f1538]) ).
fof(f6462,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ103_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f443,f1539]) ).
fof(f6463,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ103_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f443,f783]) ).
fof(f6464,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ103_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f443,f782]) ).
fof(f6465,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ103_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f443,f1858]) ).
fof(f6466,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ103_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f443,f1859]) ).
fof(f6474,plain,
( ~ sQ103_spl
| sQ172_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f6459,f5229,f1007,f442]) ).
fof(f6475,plain,
( ~ sQ103_spl
| sQ139_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f6460,f5229,f646,f442]) ).
fof(f6476,definition,
! [X0] :
( sQ391_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f6477,plain,
! [X0] :
( ~ sQ391_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f6476]) ).
fof(f6479,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| sQ132_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f6461,f6476,f579,f442,f320]) ).
fof(f6480,plain,
( ~ sQ68_spl
| ~ sQ103_spl
| sQ130_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f6462,f6476,f560,f442,f320]) ).
fof(f6481,plain,
( ~ sQ13_spl
| ~ sQ103_spl
| sQ150_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f6463,f3434,f753,f442,f134]) ).
fof(f6482,plain,
( ~ sQ13_spl
| ~ sQ103_spl
| sQ129_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f6464,f3434,f556,f442,f134]) ).
fof(f6483,plain,
( ~ sQ98_spl
| ~ sQ103_spl
| sQ148_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f6465,f6084,f735,f442,f421]) ).
fof(f6484,plain,
( ~ sQ98_spl
| ~ sQ103_spl
| sQ133_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f6466,f6084,f583,f442,f421]) ).
fof(f6490,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f267,f5953]) ).
fof(f6491,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f267,f5952]) ).
fof(f6492,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ51_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f267,f1028]) ).
fof(f6493,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ51_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f267,f1027]) ).
fof(f6494,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ51_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f267,f5984]) ).
fof(f6495,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ51_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f267,f5983]) ).
fof(f6505,definition,
! [X0] :
( sQ392_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f6506,plain,
! [X0] :
( ~ sQ392_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f6505]) ).
fof(f6508,plain,
( ~ sQ51_spl
| sQ155_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f6490,f6505,f809,f266]) ).
fof(f6509,plain,
( ~ sQ51_spl
| sQ139_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f6491,f6505,f646,f266]) ).
fof(f6510,plain,
( ~ sQ46_spl
| ~ sQ51_spl
| sQ153_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f6492,f6414,f788,f266,f245]) ).
fof(f6511,plain,
( ~ sQ46_spl
| ~ sQ51_spl
| sQ148_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f6493,f6414,f735,f266,f245]) ).
fof(f6512,plain,
( ~ sQ111_spl
| ~ sQ51_spl
| sQ134_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f6494,f5193,f603,f266,f468]) ).
fof(f6513,plain,
( ~ sQ111_spl
| ~ sQ51_spl
| sQ129_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f6495,f5193,f556,f266,f468]) ).
fof(f6518,plain,
! [X0] :
( ~ sQ392_spl
| ~ product(X0,e_3,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f6506]) ).
fof(f6519,plain,
( ~ sQ39_spl
| ~ sQ392_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f223,f6518]) ).
fof(f6520,plain,
( ~ sQ39_spl
| ~ sQ392_spl ),
inference(contradiction_clause,[status(thm)],[f6519]) ).
fof(f6524,plain,
( ~ sQ326_spl
| ~ sQ25_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f179,f4182]) ).
fof(f6526,plain,
( ~ sQ156_spl
| ~ sQ25_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f179,f826]) ).
fof(f6527,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ25_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f179,f6302]) ).
fof(f6528,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ25_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f179,f6301]) ).
fof(f6540,plain,
( ~ sQ85_spl
| ~ sQ25_spl
| sQ167_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f6527,f6303,f951,f178,f380]) ).
fof(f6541,plain,
( ~ sQ85_spl
| ~ sQ25_spl
| sQ129_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f6528,f6303,f556,f178,f380]) ).
fof(f6548,plain,
( ~ sQ184_spl
| ~ sQ57_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f286,f1146]) ).
fof(f6549,plain,
( ~ sQ107_spl
| ~ sQ57_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f286,f4750]) ).
fof(f6550,plain,
( ~ sQ323_spl
| ~ sQ57_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f286,f4103]) ).
fof(f6551,plain,
( ~ sQ185_spl
| ~ sQ57_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f286,f1160]) ).
fof(f6552,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ57_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f286,f1087]) ).
fof(f6553,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ57_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f286,f1088]) ).
fof(f6554,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ57_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f286,f551]) ).
fof(f6555,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ57_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f286,f552]) ).
fof(f6556,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ57_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f286,f4286]) ).
fof(f6557,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ57_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f286,f4287]) ).
fof(f6558,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ57_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f286,f4756]) ).
fof(f6559,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ57_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f286,f4755]) ).
fof(f6560,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f286,f64]) ).
fof(f6561,plain,
( ~ sQ57_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f286,f79]) ).
fof(f6562,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f286,f62]) ).
fof(f6563,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f286,f60]) ).
fof(f6564,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f286,f71]) ).
fof(f6565,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f286,f70]) ).
fof(f6566,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| equalish(e_4,X1)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f286,f69]) ).
fof(f6567,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(X2,X0,X1)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f286,f67]) ).
fof(f6568,plain,
( ~ sQ107_spl
| ~ sQ57_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f6549,f603,f285,f455]) ).
fof(f6569,plain,
( ~ sQ42_spl
| ~ sQ57_spl
| sQ167_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f6552,f5614,f951,f285,f232]) ).
fof(f6570,plain,
( ~ sQ42_spl
| ~ sQ57_spl
| sQ153_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f6553,f5614,f788,f285,f232]) ).
fof(f6571,definition,
! [X0] :
( sQ393_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f6572,plain,
! [X0] :
( ~ sQ393_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f6571]) ).
fof(f6574,plain,
( ~ sQ22_spl
| ~ sQ57_spl
| sQ164_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f6554,f6571,f932,f285,f163]) ).
fof(f6575,plain,
( ~ sQ22_spl
| ~ sQ57_spl
| sQ136_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f6555,f6571,f617,f285,f163]) ).
fof(f6576,definition,
! [X0] :
( sQ394_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f6577,plain,
! [X0] :
( ~ sQ394_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f6576]) ).
fof(f6579,plain,
( ~ sQ77_spl
| ~ sQ57_spl
| sQ169_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f6556,f6576,f971,f285,f354]) ).
fof(f6580,plain,
( ~ sQ77_spl
| ~ sQ57_spl
| sQ158_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f6557,f6576,f834,f285,f354]) ).
fof(f6581,definition,
! [X0] :
( sQ395_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f6582,plain,
! [X0] :
( ~ sQ395_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f6581]) ).
fof(f6584,plain,
( ~ sQ107_spl
| ~ sQ57_spl
| sQ134_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f6558,f6581,f603,f285,f455]) ).
fof(f6585,plain,
( ~ sQ107_spl
| ~ sQ57_spl
| sQ162_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f6559,f6581,f891,f285,f455]) ).
fof(f6586,plain,
( ~ sQ57_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f6561,f1014,f285]) ).
fof(f6587,definition,
! [X0] :
( sQ396_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f6588,plain,
! [X0] :
( ~ sQ396_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f6587]) ).
fof(f6590,plain,
( ~ sQ57_spl
| sQ155_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f6564,f6587,f809,f285]) ).
fof(f6591,plain,
( ~ sQ57_spl
| sQ174_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f6565,f6587,f1014,f285]) ).
fof(f6594,plain,
( ~ sQ250_spl
| ~ sQ68_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f321,f2190]) ).
fof(f6596,plain,
( ~ sQ294_spl
| ~ sQ68_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f321,f3284]) ).
fof(f6597,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ68_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f321,f5581]) ).
fof(f6598,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ68_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f321,f5580]) ).
fof(f6599,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f321,f1538]) ).
fof(f6600,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f321,f1539]) ).
fof(f6601,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ68_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f321,f783]) ).
fof(f6602,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ68_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f321,f782]) ).
fof(f6603,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ68_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f321,f1858]) ).
fof(f6604,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ68_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f321,f1859]) ).
fof(f6612,plain,
( ~ sQ103_spl
| ~ sQ68_spl
| sQ134_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f6597,f6476,f603,f320,f442]) ).
fof(f6613,plain,
( ~ sQ103_spl
| ~ sQ68_spl
| sQ137_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f6598,f6476,f624,f320,f442]) ).
fof(f6614,plain,
( ~ sQ68_spl
| sQ146_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f6599,f1789,f720,f320]) ).
fof(f6615,plain,
( ~ sQ68_spl
| sQ155_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f6600,f1789,f809,f320]) ).
fof(f6616,plain,
( ~ sQ13_spl
| ~ sQ68_spl
| sQ136_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f6601,f1603,f617,f320,f134]) ).
fof(f6617,plain,
( ~ sQ13_spl
| ~ sQ68_spl
| sQ144_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f6602,f1603,f689,f320,f134]) ).
fof(f6618,plain,
( ~ sQ98_spl
| ~ sQ68_spl
| sQ135_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f6603,f4576,f610,f320,f421]) ).
fof(f6619,plain,
( ~ sQ98_spl
| ~ sQ68_spl
| sQ158_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f6604,f4576,f834,f320,f421]) ).
fof(f6622,plain,
( ~ sQ68_spl
| ~ sQ249_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f2185,f321]) ).
fof(f6623,plain,
( ~ sQ68_spl
| ~ sQ304_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f3501,f321]) ).
fof(f6624,plain,
( ~ sQ68_spl
| ~ sQ360_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f5337,f321]) ).
fof(f6625,plain,
( ~ sQ68_spl
| ~ sQ360_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f6624,f266,f5336,f320]) ).
fof(f6626,plain,
( ~ sQ301_spl
| ~ sQ74_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f6241,f269,f339,f3434]) ).
fof(f6627,plain,
( ~ sQ68_spl
| ~ sQ361_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f5343,f321]) ).
fof(f6628,plain,
( ~ sQ68_spl
| ~ sQ332_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f4321,f321]) ).
fof(f6629,plain,
( ~ sQ68_spl
| ~ sQ305_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f3506,f321]) ).
fof(f6630,plain,
( ~ sQ68_spl
| ~ sQ305_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6629,f65]) ).
fof(f6631,plain,
( ~ sQ68_spl
| ~ sQ305_spl ),
inference(contradiction_clause,[status(thm)],[f6630]) ).
fof(f6632,plain,
( ~ sQ68_spl
| ~ sQ293_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f3280,f321]) ).
fof(f6633,plain,
( ~ sQ74_spl
| ~ sQ391_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f6477,f340]) ).
fof(f6634,plain,
( ~ sQ381_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f5965,f65]) ).
fof(f6635,plain,
( ~ sQ22_spl
| ~ sQ355_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f5194,f164]) ).
fof(f6636,plain,
( ~ sQ85_spl
| ~ sQ224_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f1771,f381]) ).
fof(f6637,plain,
( ~ sQ396_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f6588,f65]) ).
fof(f6638,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ55_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f5612,f179]) ).
fof(f6639,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ55_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f5612,f381]) ).
fof(f6640,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ55_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f5612,f142]) ).
fof(f6641,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f5612,f65]) ).
fof(f6642,plain,
( ~ sQ25_spl
| ~ sQ55_spl
| sQ126_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f6638,f5619,f533,f279,f178]) ).
fof(f6643,definition,
! [X0] :
( sQ397_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f6644,plain,
! [X0] :
( ~ sQ397_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f6643]) ).
fof(f6646,plain,
( ~ sQ85_spl
| ~ sQ55_spl
| sQ153_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f6639,f6643,f788,f279,f380]) ).
fof(f6647,definition,
! [X0] :
( sQ398_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f6648,plain,
! [X0] :
( ~ sQ398_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f6647]) ).
fof(f6650,plain,
( ~ sQ15_spl
| ~ sQ55_spl
| sQ141_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f6640,f6647,f662,f279,f141]) ).
fof(f6651,plain,
( ~ sQ55_spl
| sQ127_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f6641,f5629,f537,f279]) ).
fof(f6652,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ55_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f5613,f179]) ).
fof(f6653,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ55_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f5613,f381]) ).
fof(f6654,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ55_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f5613,f142]) ).
fof(f6655,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f5613,f65]) ).
fof(f6656,plain,
( ~ sQ25_spl
| ~ sQ55_spl
| sQ174_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f6652,f5619,f1014,f279,f178]) ).
fof(f6657,plain,
( ~ sQ85_spl
| ~ sQ55_spl
| sQ144_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f6653,f6643,f689,f279,f380]) ).
fof(f6658,plain,
( ~ sQ15_spl
| ~ sQ55_spl
| sQ129_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f6654,f6647,f556,f279,f141]) ).
fof(f6659,plain,
( ~ sQ55_spl
| sQ130_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f6655,f5629,f560,f279]) ).
fof(f6660,plain,
( ~ sQ15_spl
| ~ sQ279_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f2916,f142]) ).
fof(f6661,plain,
( ~ sQ98_spl
| ~ sQ395_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f6582,f422]) ).
fof(f6662,plain,
( ~ sQ119_spl
| ~ sQ394_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f6577,f494]) ).
fof(f6663,plain,
( ~ sQ13_spl
| ~ sQ393_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f6572,f135]) ).
fof(f6664,plain,
( ~ sQ42_spl
| ~ sQ397_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f6644,f233]) ).
fof(f6665,plain,
( ~ sQ13_spl
| ~ sQ398_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f6648,f135]) ).
fof(f6685,plain,
( ~ sQ307_spl
| ~ sQ39_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f223,f3595]) ).
fof(f6686,plain,
( ~ sQ380_spl
| ~ sQ39_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f223,f5960]) ).
fof(f6687,plain,
( ~ sQ379_spl
| ~ sQ39_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f223,f5955]) ).
fof(f6689,plain,
( ~ sQ223_spl
| ~ sQ39_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f223,f1755]) ).
fof(f6718,plain,
( ~ sQ171_spl
| ~ sQ55_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f280,f1004]) ).
fof(f6719,plain,
( ~ sQ336_spl
| ~ sQ55_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f280,f4480]) ).
fof(f6720,plain,
( ~ sQ296_spl
| ~ sQ55_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f280,f3309]) ).
fof(f6722,plain,
( ~ sQ181_spl
| ~ sQ55_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f280,f1114]) ).
fof(f6723,plain,
( ~ sQ168_spl
| ~ sQ55_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f280,f969]) ).
fof(f6724,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f280,f5613]) ).
fof(f6725,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f280,f5612]) ).
fof(f6726,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ55_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f280,f6302]) ).
fof(f6727,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ55_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f280,f6301]) ).
fof(f6730,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ55_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f280,f731]) ).
fof(f6731,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ55_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f280,f730]) ).
fof(f6739,definition,
! [X0] :
( sQ399_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f6740,plain,
! [X0] :
( ~ sQ399_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f6739]) ).
fof(f6742,plain,
( ~ sQ55_spl
| sQ155_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f6724,f6739,f809,f279]) ).
fof(f6743,plain,
( ~ sQ55_spl
| sQ162_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f6725,f6739,f891,f279]) ).
fof(f6744,plain,
( ~ sQ85_spl
| ~ sQ55_spl
| sQ158_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f6726,f6643,f834,f279,f380]) ).
fof(f6745,plain,
( ~ sQ85_spl
| ~ sQ55_spl
| sQ174_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f6727,f6643,f1014,f279,f380]) ).
fof(f6748,plain,
( ~ sQ15_spl
| ~ sQ55_spl
| sQ136_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f6730,f6647,f617,f279,f141]) ).
fof(f6749,plain,
( ~ sQ15_spl
| ~ sQ55_spl
| sQ167_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f6731,f6647,f951,f279,f141]) ).
fof(f6752,plain,
! [X0] :
( ~ sQ399_spl
| ~ product(X0,e_3,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f6740]) ).
fof(f6753,plain,
( ~ sQ13_spl
| ~ sQ399_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f135,f6752]) ).
fof(f6754,plain,
( ~ sQ13_spl
| ~ sQ399_spl ),
inference(contradiction_clause,[status(thm)],[f6753]) ).
fof(f6755,plain,
( ~ sQ42_spl
| ~ sQ397_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f6644,f233]) ).
fof(f6756,plain,
( ~ sQ119_spl
| ~ sQ394_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f6577,f494]) ).
fof(f6757,plain,
( ~ sQ98_spl
| ~ sQ395_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f6582,f422]) ).
fof(f6778,plain,
( ~ sQ396_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f6588,f65]) ).
fof(f6779,plain,
( ~ sQ374_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f5630,f65]) ).
fof(f6780,plain,
( ~ sQ46_spl
| ~ sQ313_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f3875,f246]) ).
fof(f6812,plain,
( ~ sQ309_spl
| ~ sQ13_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f135,f3753]) ).
fof(f6813,plain,
( ~ sQ373_spl
| ~ sQ13_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f135,f5625]) ).
fof(f6814,plain,
( ~ sQ372_spl
| ~ sQ13_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f135,f5620]) ).
fof(f6815,plain,
( ~ sQ393_spl
| ~ sQ13_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f135,f6572]) ).
fof(f6816,plain,
( ~ sQ398_spl
| ~ sQ13_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f135,f6648]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sQ4_spl
| ~ sQ5_spl
| sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ13_spl
| ~ sQ14_spl
| sQ15_spl
| ~ sQ16_spl
| ~ sQ17_spl
| ~ sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| ~ sQ21_spl
| sQ22_spl
| ~ sQ23_spl
| ~ sQ24_spl
| sQ25_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ31_spl
| ~ sQ32_spl
| sQ33_spl
| ~ sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| sQ39_spl
| ~ sQ40_spl
| ~ sQ41_spl
| sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| ~ sQ49_spl
| ~ sQ50_spl
| sQ51_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| ~ sQ59_spl
| sQ62_spl
| ~ sQ63_spl
| ~ sQ64_spl
| ~ sQ65_spl
| ~ sQ66_spl
| ~ sQ67_spl
| sQ68_spl
| ~ sQ69_spl
| ~ sQ70_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl
| sQ77_spl
| ~ sQ78_spl
| ~ sQ80_spl
| ~ sQ81_spl
| ~ sQ82_spl
| ~ sQ83_spl
| sQ84_spl
| sQ85_spl
| ~ sQ86_spl
| ~ sQ87_spl
| ~ sQ88_spl
| ~ sQ89_spl
| ~ sQ90_spl
| sQ91_spl
| ~ sQ92_spl
| ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| ~ sQ96_spl
| ~ sQ97_spl
| sQ98_spl
| ~ sQ99_spl
| ~ sQ100_spl
| ~ sQ101_spl
| ~ sQ102_spl
| sQ103_spl
| ~ sQ104_spl
| ~ sQ105_spl
| ~ sQ106_spl
| sQ107_spl
| ~ sQ108_spl
| ~ sQ109_spl
| ~ sQ110_spl
| sQ111_spl
| ~ sQ112_spl
| ~ sQ113_spl
| ~ sQ114_spl
| ~ sQ115_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
| ~ sQ132_spl
| ~ sQ133_spl
| ~ sQ134_spl
| ~ sQ135_spl
| ~ sQ136_spl
| ~ sQ137_spl
| sQ139_spl
| ~ sQ141_spl
| sQ142_spl
| ~ sQ143_spl
| ~ sQ144_spl
| sQ146_spl
| sQ147_spl
| ~ sQ148_spl
| ~ sQ149_spl
| ~ sQ150_spl
| sQ152_spl
| ~ sQ153_spl
| sQ155_spl
| sQ156_spl
| ~ sQ157_spl
| ~ sQ158_spl
| sQ162_spl
| ~ sQ163_spl
| ~ sQ164_spl
| sQ166_spl
| ~ sQ167_spl
| sQ168_spl
| ~ sQ169_spl
| ~ sQ170_spl
| sQ171_spl
| sQ172_spl
| ~ sQ173_spl
| ~ sQ174_spl
| sQ175_spl
| ~ sQ177_spl
| sQ178_spl
| sQ179_spl
| sQ180_spl
| sQ181_spl
| sQ184_spl
| sQ185_spl
| sQ188_spl
| ~ sQ190_spl
| sQ191_spl
| ~ sQ192_spl
| sQ194_spl
| sQ197_spl
| sQ198_spl
| sQ199_spl
| ~ sQ203_spl
| sQ206_spl
| ~ sQ207_spl
| sQ210_spl
| sQ211_spl
| ~ sQ214_spl
| sQ215_spl
| ~ sQ216_spl
| ~ sQ220_spl
| sQ221_spl
| sQ223_spl
| sQ224_spl
| ~ sQ225_spl
| ~ sQ228_spl
| sQ230_spl
| sQ231_spl
| sQ235_spl
| ~ sQ240_spl
| ~ sQ242_spl
| sQ245_spl
| sQ246_spl
| ~ sQ247_spl
| sQ249_spl
| sQ250_spl
| sQ256_spl
| sQ257_spl
| sQ258_spl
| ~ sQ261_spl
| sQ264_spl
| ~ sQ266_spl
| sQ268_spl
| ~ sQ269_spl
| sQ270_spl
| sQ276_spl
| sQ277_spl
| sQ279_spl
| sQ283_spl
| sQ287_spl
| ~ sQ288_spl
| sQ289_spl
| ~ sQ290_spl
| sQ291_spl
| sQ292_spl
| sQ293_spl
| sQ294_spl
| sQ295_spl
| sQ296_spl
| sQ297_spl
| sQ301_spl
| ~ sQ303_spl
| sQ304_spl
| ~ sQ305_spl
| sQ306_spl
| sQ307_spl
| sQ308_spl
| sQ309_spl
| sQ310_spl
| ~ sQ311_spl
| ~ sQ312_spl
| sQ313_spl
| ~ sQ314_spl
| ~ sQ317_spl
| ~ sQ319_spl
| ~ sQ320_spl
| sQ321_spl
| sQ323_spl
| sQ324_spl
| sQ326_spl
| sQ327_spl
| sQ328_spl
| sQ329_spl
| sQ330_spl
| sQ331_spl
| sQ332_spl
| sQ334_spl
| sQ336_spl
| sQ337_spl
| sQ338_spl
| sQ339_spl
| sQ340_spl
| sQ341_spl
| sQ342_spl
| ~ sQ343_spl
| sQ344_spl
| ~ sQ345_spl
| sQ346_spl
| ~ sQ347_spl
| ~ sQ349_spl
| sQ351_spl
| ~ sQ352_spl
| sQ353_spl
| ~ sQ354_spl
| sQ355_spl
| ~ sQ357_spl
| sQ359_spl
| ~ sQ360_spl
| sQ361_spl
| sQ362_spl
| sQ363_spl
| sQ364_spl
| sQ365_spl
| sQ366_spl
| sQ367_spl
| sQ368_spl
| ~ sQ369_spl
| sQ370_spl
| ~ sQ371_spl
| sQ372_spl
| sQ373_spl
| sQ374_spl
| sQ375_spl
| sQ376_spl
| sQ377_spl
| sQ378_spl
| sQ379_spl
| sQ380_spl
| sQ381_spl
| sQ382_spl
| sQ383_spl
| sQ384_spl
| sQ385_spl
| ~ sQ386_spl
| sQ387_spl
| sQ388_spl
| sQ389_spl
| sQ390_spl
| sQ391_spl
| ~ sQ392_spl
| sQ393_spl
| sQ394_spl
| sQ395_spl
| sQ396_spl
| sQ397_spl
| sQ398_spl
| ~ sQ399_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP124-1.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 19:58:43 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 13.50/2.21 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 13.50/2.21 % SZS output start Saturation for theBenchmark
% See solution above
% 0.99/2.24 % Elapsed time: 1.872152 seconds
% 0.99/2.24 % CPU time: 14.432500 seconds
% 0.99/2.24 % Total memory used: 82.309 MB
% 0.99/2.24 % Net memory used: 67.447 MB
%------------------------------------------------------------------------------