%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP129-2.005 : 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 : n011.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 12:35:56 PM UTC 2026
% Result : Satisfiable 142.04s 18.68s
% Output : Saturation 9.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
next(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
greater(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
greater(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,X1] :
( ~ greater(Y,X1)
| ~ next(X,X1)
| ~ product(X,e_1,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,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(f42,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [Y,X,Z1,Z2] :
( product(Z1,Y,Z2)
| ~ product(X,Z1,Z2)
| ~ product(Y,X,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,plain,
next(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f47,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
next(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f49,plain,
next(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f50,plain,
greater(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f51,plain,
greater(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f52,plain,
greater(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f53,plain,
greater(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f54,plain,
greater(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f55,plain,
greater(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f56,plain,
greater(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f57,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f58,plain,
greater(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f59,plain,
greater(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f60,plain,
! [Y,X1] :
( ~ greater(Y,X1)
| ! [X] :
( ~ next(X,X1)
| ~ product(X,e_1,Y) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f63,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f64,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f65,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f66,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f67,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f68,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f69,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f70,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f71,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f72,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f73,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f74,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f75,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f76,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f77,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f78,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f79,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f80,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f81,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f82,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f83,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f84,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f85,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f86,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f87,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)],[f41]) ).
fof(f88,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f90,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f92,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f94,plain,
! [Y,Z1,Z2] :
( product(Z1,Y,Z2)
| ! [X] :
( ~ product(X,Z1,Z2)
| ~ product(Y,X,Z1) ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( product(X2,X0,X3)
| ~ product(X1,X2,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f96,plain,
! [X0] :
( product(e_3,X0,e_5)
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f87,f64]) ).
fof(f97,plain,
! [X0] :
( product(e_2,X0,e_5)
| product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f87,f63]) ).
fof(f98,plain,
! [X0] :
( product(e_1,X0,e_5)
| product(e_1,X0,e_4)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f87,f62]) ).
fof(f99,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f96,f64]) ).
fof(f100,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f96,f63]) ).
fof(f101,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f96,f62]) ).
fof(f102,definition,
( sQ0_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f103,plain,
( ~ sQ0_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f104,plain,
( sQ0_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,definition,
( sQ1_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ1_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f107,plain,
( sQ1_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,definition,
( sQ2_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ2_spl
| product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f110,plain,
( sQ2_spl
| ~ product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,definition,
( sQ3_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ3_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f113,plain,
( sQ3_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,definition,
( sQ4_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( ~ sQ4_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f116,plain,
( sQ4_spl
| ~ product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f99,f102,f105,f108,f111,f114]) ).
fof(f118,definition,
( sQ5_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ5_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f120,plain,
( sQ5_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ6_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ6_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f123,plain,
( sQ6_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,definition,
( sQ7_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ7_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( sQ7_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,definition,
( sQ8_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ8_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( sQ8_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,definition,
( sQ9_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( ~ sQ9_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f132,plain,
( sQ9_spl
| ~ product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f100,f118,f121,f124,f127,f130]) ).
fof(f134,definition,
( sQ10_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( ~ sQ10_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f136,plain,
( sQ10_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,definition,
( sQ11_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ11_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f139,plain,
( sQ11_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ12_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ12_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f142,plain,
( sQ12_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
( sQ13_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ13_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f145,plain,
( sQ13_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ14_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ14_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f148,plain,
( sQ14_spl
| ~ product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f101,f134,f137,f140,f143,f146]) ).
fof(f150,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f97,f64]) ).
fof(f151,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f97,f63]) ).
fof(f152,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f97,f62]) ).
fof(f153,definition,
( sQ15_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ15_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f155,plain,
( sQ15_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,definition,
( sQ16_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ16_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f158,plain,
( sQ16_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,definition,
( sQ17_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ17_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ17_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,definition,
( sQ18_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ18_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f164,plain,
( sQ18_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,definition,
( sQ19_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ19_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f167,plain,
( sQ19_spl
| ~ product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f150,f153,f156,f159,f162,f165]) ).
fof(f169,definition,
( sQ20_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ20_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( sQ20_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,definition,
( sQ21_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ21_spl
| product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f174,plain,
( sQ21_spl
| ~ product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,definition,
( sQ22_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ22_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f177,plain,
( sQ22_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,definition,
( sQ23_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ23_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f180,plain,
( sQ23_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,definition,
( sQ24_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( ~ sQ24_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f183,plain,
( sQ24_spl
| ~ product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f184,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f151,f169,f172,f175,f178,f181]) ).
fof(f185,definition,
( sQ25_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ25_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f187,plain,
( sQ25_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,definition,
( sQ26_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ26_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f190,plain,
( sQ26_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,definition,
( sQ27_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ27_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f193,plain,
( sQ27_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,definition,
( sQ28_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ28_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f196,plain,
( sQ28_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,definition,
( sQ29_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( ~ sQ29_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f199,plain,
( sQ29_spl
| ~ product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f152,f185,f188,f191,f194,f197]) ).
fof(f201,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f98,f64]) ).
fof(f202,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f98,f63]) ).
fof(f203,plain,
( product(e_1,e_1,e_5)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f98,f62]) ).
fof(f204,definition,
( sQ30_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ30_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f206,plain,
( sQ30_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,definition,
( sQ31_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ31_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f209,plain,
( sQ31_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,definition,
( sQ32_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ32_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f212,plain,
( sQ32_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,definition,
( sQ33_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ33_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f215,plain,
( sQ33_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,definition,
( sQ34_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ34_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f218,plain,
( sQ34_spl
| ~ product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f201,f204,f207,f210,f213,f216]) ).
fof(f220,definition,
( sQ35_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( ~ sQ35_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f222,plain,
( sQ35_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,definition,
( sQ36_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( ~ sQ36_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f225,plain,
( sQ36_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,definition,
( sQ37_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ37_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f228,plain,
( sQ37_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ38_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ38_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f231,plain,
( sQ38_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,definition,
( sQ39_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ39_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f234,plain,
( sQ39_spl
| ~ product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f202,f220,f223,f226,f229,f232]) ).
fof(f236,definition,
( sQ40_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ40_spl
| product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f238,plain,
( sQ40_spl
| ~ product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,definition,
( sQ41_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ41_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f241,plain,
( sQ41_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,definition,
( sQ42_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ42_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f244,plain,
( sQ42_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,definition,
( sQ43_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ43_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f247,plain,
( sQ43_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,definition,
( sQ44_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ44_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f250,plain,
( sQ44_spl
| ~ product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f203,f236,f239,f242,f245,f248]) ).
fof(f252,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)],[f65,f98]) ).
fof(f253,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)],[f65,f97]) ).
fof(f254,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)],[f65,f96]) ).
fof(f255,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)],[f65,f87]) ).
fof(f256,definition,
( sQ45_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ45_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f258,plain,
( sQ45_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,definition,
( sQ46_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ46_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f261,plain,
( sQ46_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,definition,
( sQ47_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( ~ sQ47_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f264,plain,
( sQ47_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f262]) ).
fof(f265,definition,
( sQ48_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ48_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f267,plain,
( sQ48_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,definition,
( sQ49_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f269,plain,
( ~ sQ49_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f270,plain,
( sQ49_spl
| ~ product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f268]) ).
fof(f271,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f252,f256,f259,f262,f265,f268]) ).
fof(f272,definition,
( sQ50_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ50_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( sQ50_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,definition,
( sQ51_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ51_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f277,plain,
( sQ51_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ52_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ52_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f280,plain,
( sQ52_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ53_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ53_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f283,plain,
( sQ53_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,definition,
( sQ54_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ54_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f286,plain,
( sQ54_spl
| ~ product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f253,f272,f275,f278,f281,f284]) ).
fof(f288,definition,
( sQ55_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ55_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f290,plain,
( sQ55_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ56_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ56_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f293,plain,
( sQ56_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ57_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ57_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f296,plain,
( sQ57_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
( sQ58_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ58_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f299,plain,
( sQ58_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,definition,
( sQ59_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ59_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f302,plain,
( sQ59_spl
| ~ product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f254,f288,f291,f294,f297,f300]) ).
fof(f304,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)],[f255,f65]) ).
fof(f305,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)],[f255,f64]) ).
fof(f306,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)],[f255,f63]) ).
fof(f307,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)],[f255,f62]) ).
fof(f308,definition,
( sQ60_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ60_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sQ60_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,definition,
( sQ61_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ61_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f313,plain,
( sQ61_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,definition,
( sQ62_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ62_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f316,plain,
( sQ62_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
( sQ63_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ63_spl
| product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f319,plain,
( sQ63_spl
| ~ product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,definition,
( sQ64_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ64_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f322,plain,
( sQ64_spl
| ~ product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f304,f308,f311,f314,f317,f320]) ).
fof(f324,definition,
( sQ65_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ65_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f326,plain,
( sQ65_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,definition,
( sQ66_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ66_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f329,plain,
( sQ66_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ67_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ67_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f332,plain,
( sQ67_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,definition,
( sQ68_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( ~ sQ68_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f335,plain,
( sQ68_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
( sQ69_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ69_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f338,plain,
( sQ69_spl
| ~ product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f305,f324,f327,f330,f333,f336]) ).
fof(f340,definition,
( sQ70_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( ~ sQ70_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f342,plain,
( sQ70_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,definition,
( sQ71_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ71_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f345,plain,
( sQ71_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,definition,
( sQ72_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ72_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f348,plain,
( sQ72_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,definition,
( sQ73_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ73_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f351,plain,
( sQ73_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,definition,
( sQ74_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( ~ sQ74_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f354,plain,
( sQ74_spl
| ~ product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f306,f340,f343,f346,f349,f352]) ).
fof(f356,definition,
( sQ75_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ75_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f358,plain,
( sQ75_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,definition,
( sQ76_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ76_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f361,plain,
( sQ76_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ77_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ77_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f364,plain,
( sQ77_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,definition,
( sQ78_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( ~ sQ78_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f367,plain,
( sQ78_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,definition,
( sQ79_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( ~ sQ79_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f370,plain,
( sQ79_spl
| ~ product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f307,f356,f359,f362,f365,f368]) ).
fof(f372,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)],[f66,f255]) ).
fof(f373,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)],[f66,f98]) ).
fof(f374,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)],[f66,f97]) ).
fof(f375,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)],[f66,f96]) ).
fof(f376,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)],[f66,f87]) ).
fof(f377,definition,
( sQ80_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ80_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f379,plain,
( sQ80_spl
| ~ product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,definition,
( sQ81_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ81_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f382,plain,
( sQ81_spl
| ~ product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ82_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ82_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f385,plain,
( sQ82_spl
| ~ product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ83_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ83_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f388,plain,
( sQ83_spl
| ~ product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,definition,
( sQ84_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ84_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f391,plain,
( sQ84_spl
| ~ product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f372,f377,f380,f383,f386,f389]) ).
fof(f393,definition,
( sQ85_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( ~ sQ85_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f395,plain,
( sQ85_spl
| ~ product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,definition,
( sQ86_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ86_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f398,plain,
( sQ86_spl
| ~ product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,definition,
( sQ87_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( ~ sQ87_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f401,plain,
( sQ87_spl
| ~ product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,definition,
( sQ88_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ88_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f404,plain,
( sQ88_spl
| ~ product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,definition,
( sQ89_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ89_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ89_spl
| ~ product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f373,f393,f396,f399,f402,f405]) ).
fof(f409,definition,
( sQ90_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( ~ sQ90_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f411,plain,
( sQ90_spl
| ~ product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,definition,
( sQ91_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ91_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f414,plain,
( sQ91_spl
| ~ product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,definition,
( sQ92_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( ~ sQ92_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f417,plain,
( sQ92_spl
| ~ product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,definition,
( sQ93_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ93_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f420,plain,
( sQ93_spl
| ~ product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ94_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ94_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f423,plain,
( sQ94_spl
| ~ product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f374,f409,f412,f415,f418,f421]) ).
fof(f425,definition,
( sQ95_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( ~ sQ95_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f427,plain,
( sQ95_spl
| ~ product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,definition,
( sQ96_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( ~ sQ96_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f430,plain,
( sQ96_spl
| ~ product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,definition,
( sQ97_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ97_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f433,plain,
( sQ97_spl
| ~ product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,definition,
( sQ98_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ98_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f436,plain,
( sQ98_spl
| ~ product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ99_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ99_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f439,plain,
( sQ99_spl
| ~ product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f375,f425,f428,f431,f434,f437]) ).
fof(f441,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)],[f376,f66]) ).
fof(f442,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)],[f376,f65]) ).
fof(f443,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)],[f376,f64]) ).
fof(f444,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)],[f376,f63]) ).
fof(f445,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)],[f376,f62]) ).
fof(f446,definition,
( sQ100_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ100_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f448,plain,
( sQ100_spl
| ~ product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,definition,
( sQ101_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ101_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f451,plain,
( sQ101_spl
| ~ product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ102_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ102_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f454,plain,
( sQ102_spl
| ~ product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,definition,
( sQ103_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ103_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f457,plain,
( sQ103_spl
| ~ product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,definition,
( sQ104_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ104_spl
| product(e_5,e_5,e_5) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f460,plain,
( sQ104_spl
| ~ product(e_5,e_5,e_5) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f441,f446,f449,f452,f455,f458]) ).
fof(f462,definition,
( sQ105_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ105_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f464,plain,
( sQ105_spl
| ~ product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,definition,
( sQ106_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ106_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f467,plain,
( sQ106_spl
| ~ product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,definition,
( sQ107_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ107_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f470,plain,
( sQ107_spl
| ~ product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,definition,
( sQ108_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ108_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f473,plain,
( sQ108_spl
| ~ product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ109_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ109_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f476,plain,
( sQ109_spl
| ~ product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f442,f462,f465,f468,f471,f474]) ).
fof(f478,definition,
( sQ110_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( ~ sQ110_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f480,plain,
( sQ110_spl
| ~ product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,definition,
( sQ111_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ111_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f483,plain,
( sQ111_spl
| ~ product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,definition,
( sQ112_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ112_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f486,plain,
( sQ112_spl
| ~ product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ113_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ113_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f489,plain,
( sQ113_spl
| ~ product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ114_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ114_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f492,plain,
( sQ114_spl
| ~ product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f443,f478,f481,f484,f487,f490]) ).
fof(f494,definition,
( sQ115_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( ~ sQ115_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f496,plain,
( sQ115_spl
| ~ product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,definition,
( sQ116_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ116_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f499,plain,
( sQ116_spl
| ~ product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,definition,
( sQ117_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ117_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f502,plain,
( sQ117_spl
| ~ product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ118_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ118_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f505,plain,
( sQ118_spl
| ~ product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ119_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ119_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f508,plain,
( sQ119_spl
| ~ product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f444,f494,f497,f500,f503,f506]) ).
fof(f510,definition,
( sQ120_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( ~ sQ120_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f512,plain,
( sQ120_spl
| ~ product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,definition,
( sQ121_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ121_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f515,plain,
( sQ121_spl
| ~ product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,definition,
( sQ122_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( ~ sQ122_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f518,plain,
( sQ122_spl
| ~ product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,definition,
( sQ123_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ123_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f521,plain,
( sQ123_spl
| ~ product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,definition,
( sQ124_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( ~ sQ124_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f524,plain,
( sQ124_spl
| ~ product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f445,f510,f513,f516,f519,f522]) ).
fof(f526,plain,
! [X0] :
( ~ sQ14_spl
| ~ greater(e_5,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f147,f61]) ).
fof(f527,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f147,f93]) ).
fof(f528,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f147,f91]) ).
fof(f529,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f147,f89]) ).
fof(f530,plain,
! [X0] :
( ~ sQ14_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f147,f95]) ).
fof(f534,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f144,f529]) ).
fof(f536,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f144,f93]) ).
fof(f537,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f144,f91]) ).
fof(f538,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f144,f89]) ).
fof(f539,plain,
! [X0] :
( ~ sQ13_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f144,f95]) ).
fof(f540,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f534,f82]) ).
fof(f541,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f540]) ).
fof(f542,plain,
! [X0] :
( ~ sQ12_spl
| ~ greater(e_3,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f141,f61]) ).
fof(f543,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f141,f93]) ).
fof(f544,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f141,f91]) ).
fof(f545,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f141,f89]) ).
fof(f546,plain,
! [X0] :
( ~ sQ12_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f141,f95]) ).
fof(f548,plain,
( ~ sQ12_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f544,f141]) ).
fof(f550,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f138,f545]) ).
fof(f551,plain,
! [X0] :
( ~ sQ11_spl
| ~ greater(e_2,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f138,f61]) ).
fof(f552,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f138,f93]) ).
fof(f553,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f138,f91]) ).
fof(f554,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f138,f89]) ).
fof(f555,plain,
! [X0] :
( ~ sQ11_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f138,f95]) ).
fof(f556,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f550,f72]) ).
fof(f557,plain,
( ~ sQ12_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f556]) ).
fof(f559,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f135,f93]) ).
fof(f560,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f135,f91]) ).
fof(f562,plain,
! [X0] :
( ~ sQ10_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f135,f95]) ).
fof(f563,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f131,f93]) ).
fof(f564,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f131,f91]) ).
fof(f565,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f131,f89]) ).
fof(f566,plain,
! [X0] :
( ~ sQ9_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f131,f95]) ).
fof(f567,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f128,f93]) ).
fof(f568,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f128,f91]) ).
fof(f569,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f128,f89]) ).
fof(f570,plain,
! [X0] :
( ~ sQ8_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f128,f95]) ).
fof(f571,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f125,f93]) ).
fof(f572,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f125,f91]) ).
fof(f573,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f125,f89]) ).
fof(f574,plain,
! [X0] :
( ~ sQ7_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f125,f95]) ).
fof(f575,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f122,f93]) ).
fof(f576,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f122,f91]) ).
fof(f577,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f122,f89]) ).
fof(f578,plain,
! [X0] :
( ~ sQ6_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f122,f95]) ).
fof(f584,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f565,f122]) ).
fof(f585,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f565,f125]) ).
fof(f586,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f565,f128]) ).
fof(f587,plain,
( ~ sQ9_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f565,f131]) ).
fof(f588,plain,
( ~ sQ6_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f584,f74]) ).
fof(f589,plain,
( ~ sQ6_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f588]) ).
fof(f590,plain,
( ~ sQ8_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f567,f128]) ).
fof(f592,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f569,f125]) ).
fof(f594,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f592,f77]) ).
fof(f595,plain,
( ~ sQ7_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f594]) ).
fof(f596,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f119,f560]) ).
fof(f597,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f119,f93]) ).
fof(f598,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f119,f91]) ).
fof(f599,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f119,f89]) ).
fof(f600,plain,
! [X0] :
( ~ sQ5_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f119,f95]) ).
fof(f601,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f596,f71]) ).
fof(f602,plain,
( ~ sQ10_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f601]) ).
fof(f603,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f115,f93]) ).
fof(f604,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f115,f91]) ).
fof(f605,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f115,f89]) ).
fof(f606,plain,
! [X0] :
( ~ sQ4_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f115,f95]) ).
fof(f608,plain,
( ~ sQ4_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f604,f115]) ).
fof(f609,plain,
( ~ sQ4_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f605,f115]) ).
fof(f610,plain,
! [X0] :
( ~ sQ29_spl
| ~ greater(e_5,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f198,f61]) ).
fof(f611,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f198,f93]) ).
fof(f612,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f198,f91]) ).
fof(f613,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f198,f89]) ).
fof(f614,plain,
! [X0] :
( ~ sQ29_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f198,f95]) ).
fof(f618,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f195,f613]) ).
fof(f619,plain,
! [X0] :
( ~ sQ28_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f195,f61]) ).
fof(f620,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f195,f93]) ).
fof(f621,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f195,f91]) ).
fof(f622,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f195,f89]) ).
fof(f623,plain,
! [X0] :
( ~ sQ28_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f195,f95]) ).
fof(f624,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f618,f82]) ).
fof(f625,plain,
( ~ sQ29_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f624]) ).
fof(f626,plain,
( ~ sQ29_spl
| ~ sQ27_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f192,f613]) ).
fof(f628,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f192,f93]) ).
fof(f629,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f192,f91]) ).
fof(f632,plain,
( ~ sQ29_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f626,f78]) ).
fof(f633,plain,
( ~ sQ29_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f632]) ).
fof(f637,plain,
( ~ sQ27_spl
| ~ sQ28_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f622,f192]) ).
fof(f638,plain,
( ~ sQ27_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f637,f77]) ).
fof(f639,plain,
( ~ sQ27_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f638]) ).
fof(f640,plain,
! [X0] :
( ~ sQ26_spl
| ~ greater(e_2,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f189,f61]) ).
fof(f641,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f189,f93]) ).
fof(f642,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f189,f91]) ).
fof(f643,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f189,f89]) ).
fof(f644,plain,
! [X0] :
( ~ sQ26_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f189,f95]) ).
fof(f648,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f186,f643]) ).
fof(f649,plain,
( ~ sQ10_spl
| ~ sQ25_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f186,f559]) ).
fof(f651,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f186,f93]) ).
fof(f652,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f186,f91]) ).
fof(f654,plain,
! [X0] :
( ~ sQ25_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f186,f95]) ).
fof(f655,plain,
( ~ sQ26_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f648,f67]) ).
fof(f656,plain,
( ~ sQ26_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f655]) ).
fof(f657,plain,
( ~ sQ29_spl
| ~ sQ24_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f182,f612]) ).
fof(f658,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f182,f93]) ).
fof(f659,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f182,f91]) ).
fof(f660,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f182,f89]) ).
fof(f661,plain,
! [X0] :
( ~ sQ24_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f182,f95]) ).
fof(f662,plain,
( ~ sQ29_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f657,f71]) ).
fof(f663,plain,
( ~ sQ29_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f662]) ).
fof(f664,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f179,f93]) ).
fof(f666,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f179,f89]) ).
fof(f668,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f176,f93]) ).
fof(f669,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f176,f91]) ).
fof(f670,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f176,f89]) ).
fof(f671,plain,
! [X0] :
( ~ sQ22_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f176,f95]) ).
fof(f672,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f173,f642]) ).
fof(f673,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f173,f575]) ).
fof(f674,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f93]) ).
fof(f675,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f173,f91]) ).
fof(f676,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f173,f89]) ).
fof(f677,plain,
! [X0] :
( ~ sQ21_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f95]) ).
fof(f678,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f672,f71]) ).
fof(f679,plain,
( ~ sQ26_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f678]) ).
fof(f680,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f673,f72]) ).
fof(f681,plain,
( ~ sQ6_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f680]) ).
fof(f682,plain,
( ~ sQ10_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f649,f72]) ).
fof(f683,plain,
( ~ sQ10_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f682]) ).
fof(f684,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f170,f93]) ).
fof(f685,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f170,f91]) ).
fof(f686,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f170,f89]) ).
fof(f687,plain,
! [X0] :
( ~ sQ20_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f170,f95]) ).
fof(f688,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f166,f603]) ).
fof(f689,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f166,f93]) ).
fof(f690,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f166,f91]) ).
fof(f691,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f166,f89]) ).
fof(f692,plain,
! [X0] :
( ~ sQ19_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f166,f95]) ).
fof(f693,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f688,f72]) ).
fof(f694,plain,
( ~ sQ4_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f693]) ).
fof(f695,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f644,f170]) ).
fof(f698,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f666,f170]) ).
fof(f699,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f666,f176]) ).
fof(f700,plain,
( ~ sQ23_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f666,f179]) ).
fof(f701,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f698,f69]) ).
fof(f702,plain,
( ~ sQ20_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f701]) ).
fof(f703,plain,
( ~ sQ22_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f668,f176]) ).
fof(f705,plain,
( ~ sQ20_spl
| ~ sQ22_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f670,f170]) ).
fof(f706,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f670,f176]) ).
fof(f707,plain,
( ~ sQ20_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f705,f68]) ).
fof(f708,plain,
( ~ sQ20_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f707]) ).
fof(f709,plain,
( ~ sQ22_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f699,f77]) ).
fof(f710,plain,
( ~ sQ22_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f709]) ).
fof(f711,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f163,f93]) ).
fof(f712,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f163,f91]) ).
fof(f713,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f163,f89]) ).
fof(f714,plain,
! [X0] :
( ~ sQ18_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f163,f95]) ).
fof(f715,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f711,f163]) ).
fof(f716,plain,
( ~ sQ18_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f712,f163]) ).
fof(f717,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f713,f163]) ).
fof(f718,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f160,f713]) ).
fof(f719,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f160,f606]) ).
fof(f720,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f160,f93]) ).
fof(f721,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f160,f91]) ).
fof(f722,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f160,f89]) ).
fof(f723,plain,
! [X0] :
( ~ sQ17_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f160,f95]) ).
fof(f724,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f718,f77]) ).
fof(f725,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f724]) ).
fof(f726,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f157,f713]) ).
fof(f727,plain,
( ~ sQ26_spl
| ~ sQ16_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f157,f642]) ).
fof(f728,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f157,f600]) ).
fof(f729,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f157,f93]) ).
fof(f730,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f157,f91]) ).
fof(f731,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f157,f89]) ).
fof(f732,plain,
! [X0] :
( ~ sQ16_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f157,f95]) ).
fof(f733,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f726,f73]) ).
fof(f734,plain,
( ~ sQ18_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f733]) ).
fof(f735,plain,
( ~ sQ26_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f727,f75]) ).
fof(f736,plain,
( ~ sQ26_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f735]) ).
fof(f738,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f719,f604]) ).
fof(f739,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f719,f93]) ).
fof(f740,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f719,f91]) ).
fof(f741,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ17_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f719,f89]) ).
fof(f742,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ17_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f719,f95]) ).
fof(f745,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f154,f685]) ).
fof(f746,plain,
( ~ sQ12_spl
| ~ sQ15_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f154,f546]) ).
fof(f747,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f154,f93]) ).
fof(f748,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f154,f91]) ).
fof(f749,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f154,f89]) ).
fof(f750,plain,
! [X0] :
( ~ sQ15_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f154,f95]) ).
fof(f751,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f745,f76]) ).
fof(f752,plain,
( ~ sQ20_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f751]) ).
fof(f753,plain,
( ~ sQ15_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f747,f154]) ).
fof(f754,plain,
( ~ sQ15_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f748,f154]) ).
fof(f755,plain,
( ~ sQ15_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f749,f154]) ).
fof(f756,plain,
! [X0] :
( ~ sQ44_spl
| ~ greater(e_5,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f249,f61]) ).
fof(f757,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f249,f93]) ).
fof(f758,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f249,f91]) ).
fof(f759,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f249,f89]) ).
fof(f760,plain,
! [X0] :
( ~ sQ44_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f249,f95]) ).
fof(f761,plain,
! [X0] :
( ~ sQ43_spl
| ~ greater(e_4,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f246,f61]) ).
fof(f762,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f246,f93]) ).
fof(f763,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f246,f91]) ).
fof(f764,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f246,f89]) ).
fof(f765,plain,
! [X0] :
( ~ sQ43_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f246,f95]) ).
fof(f766,plain,
( ~ sQ27_spl
| ~ sQ42_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f243,f628]) ).
fof(f767,plain,
( ~ sQ12_spl
| ~ sQ42_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f243,f543]) ).
fof(f768,plain,
! [X0] :
( ~ sQ42_spl
| ~ greater(e_3,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f243,f61]) ).
fof(f769,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f243,f93]) ).
fof(f770,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f243,f91]) ).
fof(f771,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f243,f89]) ).
fof(f772,plain,
! [X0] :
( ~ sQ42_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f243,f95]) ).
fof(f773,plain,
( ~ sQ27_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f766,f67]) ).
fof(f774,plain,
( ~ sQ27_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f773]) ).
fof(f775,plain,
! [X0] :
( ~ sQ41_spl
| ~ greater(e_2,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f240,f61]) ).
fof(f776,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f240,f93]) ).
fof(f777,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f240,f91]) ).
fof(f778,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f240,f89]) ).
fof(f779,plain,
! [X0] :
( ~ sQ41_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f240,f95]) ).
fof(f780,plain,
! [X0] :
( ~ sQ40_spl
| ~ greater(e_1,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f237,f61]) ).
fof(f781,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f93]) ).
fof(f782,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f237,f91]) ).
fof(f783,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f237,f89]) ).
fof(f784,plain,
! [X0] :
( ~ sQ40_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f95]) ).
fof(f786,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f233,f91]) ).
fof(f788,plain,
! [X0] :
( ~ sQ39_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f233,f95]) ).
fof(f793,plain,
( ~ sQ41_spl
| ~ sQ39_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f788,f240]) ).
fof(f795,plain,
( ~ sQ39_spl
| ~ sQ44_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f758,f233]) ).
fof(f797,plain,
( ~ sQ39_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f795,f71]) ).
fof(f798,plain,
( ~ sQ39_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f797]) ).
fof(f799,plain,
( ~ sQ43_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f762,f246]) ).
fof(f801,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f764,f237]) ).
fof(f802,plain,
( ~ sQ41_spl
| ~ sQ43_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f764,f240]) ).
fof(f803,plain,
( ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f764,f246]) ).
fof(f804,plain,
( ~ sQ40_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f801,f69]) ).
fof(f805,plain,
( ~ sQ40_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f804]) ).
fof(f807,plain,
( ~ sQ41_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f777,f240]) ).
fof(f809,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f230,f93]) ).
fof(f810,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f230,f91]) ).
fof(f811,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f230,f89]) ).
fof(f812,plain,
! [X0] :
( ~ sQ38_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f230,f95]) ).
fof(f815,plain,
( ~ sQ15_spl
| ~ sQ37_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f227,f750]) ).
fof(f816,plain,
( ~ sQ7_spl
| ~ sQ37_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f227,f571]) ).
fof(f817,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f227,f93]) ).
fof(f818,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f227,f91]) ).
fof(f819,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f227,f89]) ).
fof(f820,plain,
! [X0] :
( ~ sQ37_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f227,f95]) ).
fof(f821,plain,
( ~ sQ15_spl
| ~ sQ37_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f815,f134,f226,f153]) ).
fof(f822,plain,
( ~ sQ7_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f816,f68]) ).
fof(f823,plain,
( ~ sQ7_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f822]) ).
fof(f824,plain,
( ~ sQ41_spl
| ~ sQ36_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f224,f777]) ).
fof(f825,plain,
( ~ sQ21_spl
| ~ sQ36_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f224,f674]) ).
fof(f826,plain,
( ~ sQ21_spl
| ~ sQ36_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f224,f677]) ).
fof(f827,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f224,f93]) ).
fof(f828,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f224,f91]) ).
fof(f829,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f224,f89]) ).
fof(f830,plain,
! [X0] :
( ~ sQ36_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f224,f95]) ).
fof(f831,plain,
( ~ sQ41_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f824,f71]) ).
fof(f832,plain,
( ~ sQ41_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f831]) ).
fof(f833,plain,
( ~ sQ21_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f825,f67]) ).
fof(f834,plain,
( ~ sQ21_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f833]) ).
fof(f835,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f221,f782]) ).
fof(f836,plain,
( ~ sQ29_spl
| ~ sQ35_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f221,f614]) ).
fof(f837,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f221,f93]) ).
fof(f838,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f221,f91]) ).
fof(f839,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f221,f89]) ).
fof(f840,plain,
! [X0] :
( ~ sQ35_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f221,f95]) ).
fof(f841,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f835,f71]) ).
fof(f842,plain,
( ~ sQ40_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f841]) ).
fof(f843,plain,
( ~ sQ29_spl
| ~ sQ35_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f836,f248,f220,f197]) ).
fof(f844,plain,
( ~ sQ12_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f767,f68]) ).
fof(f845,plain,
( ~ sQ12_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f844]) ).
fof(f846,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f217,f93]) ).
fof(f847,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f217,f91]) ).
fof(f848,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f217,f89]) ).
fof(f849,plain,
! [X0] :
( ~ sQ34_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f217,f95]) ).
fof(f850,plain,
( ~ sQ38_spl
| ~ sQ33_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f214,f810]) ).
fof(f851,plain,
( ~ sQ18_spl
| ~ sQ33_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f214,f711]) ).
fof(f852,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f214,f93]) ).
fof(f853,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f214,f91]) ).
fof(f854,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f214,f89]) ).
fof(f855,plain,
! [X0] :
( ~ sQ33_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f214,f95]) ).
fof(f856,plain,
( ~ sQ38_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f850,f76]) ).
fof(f857,plain,
( ~ sQ38_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f856]) ).
fof(f858,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f211,f93]) ).
fof(f859,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f211,f91]) ).
fof(f861,plain,
! [X0] :
( ~ sQ32_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f211,f95]) ).
fof(f864,plain,
( ~ sQ32_spl
| ~ sQ34_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f848,f211]) ).
fof(f865,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f848,f217]) ).
fof(f866,plain,
( ~ sQ32_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f864,f78]) ).
fof(f867,plain,
( ~ sQ32_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f866]) ).
fof(f868,plain,
( ~ sQ41_spl
| ~ sQ31_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f208,f777]) ).
fof(f869,plain,
( ~ sQ8_spl
| ~ sQ31_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f208,f570]) ).
fof(f870,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f208,f93]) ).
fof(f871,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f208,f91]) ).
fof(f872,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f208,f89]) ).
fof(f873,plain,
! [X0] :
( ~ sQ31_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f208,f95]) ).
fof(f874,plain,
( ~ sQ41_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f868,f75]) ).
fof(f875,plain,
( ~ sQ41_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f874]) ).
fof(f876,plain,
( ~ sQ35_spl
| ~ sQ30_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f205,f838]) ).
fof(f877,plain,
( ~ sQ11_spl
| ~ sQ30_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f205,f555]) ).
fof(f878,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f205,f93]) ).
fof(f879,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f205,f91]) ).
fof(f880,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f205,f89]) ).
fof(f881,plain,
! [X0] :
( ~ sQ30_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f205,f95]) ).
fof(f882,plain,
( ~ sQ35_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f876,f76]) ).
fof(f883,plain,
( ~ sQ35_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f882]) ).
fof(f884,plain,
( ~ sQ11_spl
| ~ sQ30_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f877,f239,f204,f137]) ).
fof(f887,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ31_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f869,f61]) ).
fof(f888,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f869,f93]) ).
fof(f889,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ31_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f869,f91]) ).
fof(f890,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f869,f89]) ).
fof(f891,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ31_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f869,f95]) ).
fof(f894,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f301,f93]) ).
fof(f895,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f301,f91]) ).
fof(f896,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f301,f89]) ).
fof(f897,plain,
! [X0] :
( ~ sQ59_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f301,f95]) ).
fof(f898,plain,
( ~ sQ8_spl
| ~ sQ58_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f298,f568]) ).
fof(f899,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f298,f93]) ).
fof(f900,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f298,f91]) ).
fof(f901,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f298,f89]) ).
fof(f902,plain,
! [X0] :
( ~ sQ58_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f298,f95]) ).
fof(f903,plain,
( ~ sQ8_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f898,f80]) ).
fof(f904,plain,
( ~ sQ8_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f903]) ).
fof(f905,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f295,f93]) ).
fof(f906,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f295,f91]) ).
fof(f907,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f295,f89]) ).
fof(f908,plain,
! [X0] :
( ~ sQ57_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f295,f95]) ).
fof(f909,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f292,f93]) ).
fof(f910,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f292,f91]) ).
fof(f911,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f292,f89]) ).
fof(f912,plain,
! [X0] :
( ~ sQ56_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f292,f95]) ).
fof(f913,plain,
( ~ sQ10_spl
| ~ sQ55_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f289,f560]) ).
fof(f914,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f289,f93]) ).
fof(f915,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f289,f91]) ).
fof(f916,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f289,f89]) ).
fof(f917,plain,
! [X0] :
( ~ sQ55_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f289,f95]) ).
fof(f918,plain,
( ~ sQ10_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f913,f79]) ).
fof(f919,plain,
( ~ sQ10_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f918]) ).
fof(f920,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f285,f93]) ).
fof(f921,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f285,f91]) ).
fof(f922,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f285,f89]) ).
fof(f923,plain,
! [X0] :
( ~ sQ54_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f285,f95]) ).
fof(f924,plain,
( ~ sQ54_spl
| ~ sQ59_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f894,f285]) ).
fof(f925,plain,
( ~ sQ59_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f894,f301]) ).
fof(f926,plain,
( ~ sQ54_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f924,f72]) ).
fof(f927,plain,
( ~ sQ54_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f926]) ).
fof(f929,plain,
( ~ sQ57_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f906,f295]) ).
fof(f930,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f907,f292]) ).
fof(f931,plain,
( ~ sQ57_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f907,f295]) ).
fof(f932,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f930,f72]) ).
fof(f933,plain,
( ~ sQ56_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f932]) ).
fof(f936,plain,
( ~ sQ56_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f911,f292]) ).
fof(f937,plain,
( ~ sQ18_spl
| ~ sQ53_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f282,f712]) ).
fof(f938,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f282,f93]) ).
fof(f939,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f282,f91]) ).
fof(f940,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f282,f89]) ).
fof(f941,plain,
! [X0] :
( ~ sQ53_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f282,f95]) ).
fof(f942,plain,
( ~ sQ18_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f937,f81]) ).
fof(f943,plain,
( ~ sQ18_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f942]) ).
fof(f944,plain,
( ~ sQ12_spl
| ~ sQ15_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f746,f226,f153,f140]) ).
fof(f945,plain,
( ~ sQ41_spl
| ~ sQ39_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f793,f197,f232,f239]) ).
fof(f946,plain,
( ~ sQ53_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f938,f282]) ).
fof(f948,plain,
( ~ sQ53_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f940,f282]) ).
fof(f949,plain,
( ~ sQ56_spl
| ~ sQ6_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f576,f292]) ).
fof(f950,plain,
( ~ sQ56_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f949,f80]) ).
fof(f951,plain,
( ~ sQ56_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f950]) ).
fof(f952,plain,
( ~ sQ17_spl
| ~ sQ52_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f279,f721]) ).
fof(f953,plain,
( ~ sQ22_spl
| ~ sQ52_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f279,f669]) ).
fof(f954,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f279,f93]) ).
fof(f955,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f279,f91]) ).
fof(f956,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f279,f89]) ).
fof(f957,plain,
! [X0] :
( ~ sQ52_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f279,f95]) ).
fof(f958,plain,
( ~ sQ17_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f952,f81]) ).
fof(f959,plain,
( ~ sQ17_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f958]) ).
fof(f960,plain,
( ~ sQ22_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f953,f80]) ).
fof(f961,plain,
( ~ sQ22_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f960]) ).
fof(f962,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f276,f93]) ).
fof(f963,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f276,f91]) ).
fof(f964,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f276,f89]) ).
fof(f965,plain,
! [X0] :
( ~ sQ51_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f276,f95]) ).
fof(f966,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f273,f93]) ).
fof(f967,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f273,f91]) ).
fof(f968,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f273,f89]) ).
fof(f969,plain,
! [X0] :
( ~ sQ50_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f273,f95]) ).
fof(f970,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f269,f93]) ).
fof(f971,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f269,f91]) ).
fof(f972,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f269,f89]) ).
fof(f973,plain,
! [X0] :
( ~ sQ49_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f269,f95]) ).
fof(f974,plain,
( ~ sQ51_spl
| ~ sQ16_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f730,f276]) ).
fof(f975,plain,
( ~ sQ51_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f974,f81]) ).
fof(f976,plain,
( ~ sQ51_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f975]) ).
fof(f977,plain,
( ~ sQ50_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f966,f273]) ).
fof(f978,plain,
( ~ sQ50_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f967,f273]) ).
fof(f979,plain,
( ~ sQ50_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f968,f273]) ).
fof(f980,plain,
( ~ sQ49_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f970,f269]) ).
fof(f981,plain,
( ~ sQ49_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f971,f269]) ).
fof(f982,plain,
( ~ sQ49_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f972,f269]) ).
fof(f983,plain,
( ~ sQ50_spl
| ~ sQ15_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f748,f273]) ).
fof(f984,plain,
( ~ sQ50_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f983,f81]) ).
fof(f985,plain,
( ~ sQ50_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f986,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f266,f972]) ).
fof(f987,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f266,f93]) ).
fof(f988,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f266,f91]) ).
fof(f989,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f266,f89]) ).
fof(f990,plain,
! [X0] :
( ~ sQ48_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f266,f95]) ).
fof(f991,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f986,f82]) ).
fof(f992,plain,
( ~ sQ49_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f991]) ).
fof(f993,plain,
( ~ sQ49_spl
| ~ sQ47_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f263,f972]) ).
fof(f994,plain,
( ~ sQ32_spl
| ~ sQ47_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f263,f859]) ).
fof(f995,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f263,f93]) ).
fof(f996,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f263,f91]) ).
fof(f997,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f263,f89]) ).
fof(f998,plain,
! [X0] :
( ~ sQ47_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f263,f95]) ).
fof(f999,plain,
( ~ sQ49_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f993,f78]) ).
fof(f1000,plain,
( ~ sQ49_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f999]) ).
fof(f1001,plain,
( ~ sQ32_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f994,f81]) ).
fof(f1002,plain,
( ~ sQ32_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1001]) ).
fof(f1003,plain,
( ~ sQ18_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f851,f67]) ).
fof(f1004,plain,
( ~ sQ18_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1003]) ).
fof(f1005,plain,
( ~ sQ36_spl
| ~ sQ46_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f260,f828]) ).
fof(f1006,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f260,f93]) ).
fof(f1007,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f260,f91]) ).
fof(f1008,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f260,f89]) ).
fof(f1009,plain,
! [X0] :
( ~ sQ46_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f260,f95]) ).
fof(f1010,plain,
( ~ sQ36_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1005,f80]) ).
fof(f1011,plain,
( ~ sQ36_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1010]) ).
fof(f1012,plain,
( ~ sQ50_spl
| ~ sQ45_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f257,f966]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f257,f93]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f257,f91]) ).
fof(f1015,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f257,f89]) ).
fof(f1016,plain,
! [X0] :
( ~ sQ45_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f257,f95]) ).
fof(f1017,plain,
( ~ sQ50_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1012,f67]) ).
fof(f1018,plain,
( ~ sQ50_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1017]) ).
fof(f1019,plain,
( ~ sQ45_spl
| ~ sQ55_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f914,f257]) ).
fof(f1020,plain,
( ~ sQ45_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1019,f68]) ).
fof(f1021,plain,
( ~ sQ45_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1020]) ).
fof(f1022,plain,
( ~ sQ46_spl
| ~ sQ31_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f871,f260]) ).
fof(f1023,plain,
( ~ sQ46_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1022,f81]) ).
fof(f1024,plain,
( ~ sQ46_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f1023]) ).
fof(f1025,plain,
( ~ sQ46_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1006,f260]) ).
fof(f1026,plain,
( ~ sQ46_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1007,f260]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ79_spl
| ~ greater(e_5,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f369,f61]) ).
fof(f1029,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f369,f93]) ).
fof(f1030,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f369,f91]) ).
fof(f1031,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f369,f89]) ).
fof(f1032,plain,
! [X0] :
( ~ sQ79_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f369,f95]) ).
fof(f1034,plain,
( ~ sQ79_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1030,f369]) ).
fof(f1035,plain,
( ~ sQ79_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1031,f369]) ).
fof(f1036,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f366,f1031]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ78_spl
| ~ greater(e_4,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f366,f61]) ).
fof(f1039,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f366,f93]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f366,f91]) ).
fof(f1041,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f366,f89]) ).
fof(f1042,plain,
! [X0] :
( ~ sQ78_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f366,f95]) ).
fof(f1043,plain,
( ~ sQ79_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1036,f82]) ).
fof(f1044,plain,
( ~ sQ79_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1043]) ).
fof(f1045,plain,
( ~ sQ79_spl
| ~ sQ77_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f363,f1031]) ).
fof(f1046,plain,
( ~ sQ32_spl
| ~ sQ77_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f363,f861]) ).
fof(f1047,plain,
( ~ sQ42_spl
| ~ sQ77_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f363,f769]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ77_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f363,f95]) ).
fof(f1053,plain,
( ~ sQ79_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1045,f78]) ).
fof(f1054,plain,
( ~ sQ79_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f1053]) ).
fof(f1055,plain,
( ~ sQ42_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1047,f79]) ).
fof(f1056,plain,
( ~ sQ42_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f1055]) ).
fof(f1057,plain,
( ~ sQ78_spl
| ~ sQ76_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f360,f1041]) ).
fof(f1058,plain,
( ~ sQ11_spl
| ~ sQ76_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f360,f552]) ).
fof(f1059,plain,
( ~ sQ38_spl
| ~ sQ76_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f360,f812]) ).
fof(f1060,plain,
( ~ sQ26_spl
| ~ sQ76_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f360,f641]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ76_spl
| ~ greater(e_2,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f360,f61]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f360,f93]) ).
fof(f1063,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f360,f91]) ).
fof(f1064,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f360,f89]) ).
fof(f1065,plain,
! [X0] :
( ~ sQ76_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f360,f95]) ).
fof(f1066,plain,
( ~ sQ78_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1057,f73]) ).
fof(f1067,plain,
( ~ sQ78_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f1066]) ).
fof(f1068,plain,
( ~ sQ11_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1058,f81]) ).
fof(f1069,plain,
( ~ sQ11_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f1068]) ).
fof(f1070,plain,
! [X0] :
( ~ sQ75_spl
| ~ greater(e_1,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f357,f61]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f357,f93]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f357,f91]) ).
fof(f1073,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f357,f89]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ75_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f357,f95]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f353,f93]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f353,f91]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f353,f89]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ74_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f353,f95]) ).
fof(f1079,plain,
( ~ sQ38_spl
| ~ sQ73_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f350,f809]) ).
fof(f1080,plain,
( ~ sQ53_spl
| ~ sQ73_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f350,f941]) ).
fof(f1081,plain,
( ~ sQ23_spl
| ~ sQ73_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f350,f664]) ).
fof(f1082,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f350,f93]) ).
fof(f1083,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f350,f91]) ).
fof(f1084,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f350,f89]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ73_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f350,f95]) ).
fof(f1086,plain,
( ~ sQ38_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1079,f79]) ).
fof(f1087,plain,
( ~ sQ38_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1086]) ).
fof(f1088,plain,
( ~ sQ23_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1081,f80]) ).
fof(f1089,plain,
( ~ sQ23_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1088]) ).
fof(f1090,plain,
( ~ sQ20_spl
| ~ sQ26_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f695,f223,f188,f169]) ).
fof(f1091,plain,
( ~ sQ17_spl
| ~ sQ72_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f347,f723]) ).
fof(f1092,plain,
( ~ sQ7_spl
| ~ sQ72_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f347,f571]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f347,f93]) ).
fof(f1094,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f347,f91]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f347,f89]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ72_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f347,f95]) ).
fof(f1097,plain,
( ~ sQ7_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1092,f81]) ).
fof(f1098,plain,
( ~ sQ7_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f1097]) ).
fof(f1099,plain,
( ~ sQ75_spl
| ~ sQ44_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f760,f357]) ).
fof(f1100,plain,
( ~ sQ75_spl
| ~ sQ10_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f559,f357]) ).
fof(f1101,plain,
( ~ sQ75_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1100,f81]) ).
fof(f1102,plain,
( ~ sQ75_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1101]) ).
fof(f1106,plain,
( ~ sQ74_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1075,f353]) ).
fof(f1108,plain,
( ~ sQ72_spl
| ~ sQ74_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1077,f347]) ).
fof(f1110,plain,
( ~ sQ72_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1108,f78]) ).
fof(f1111,plain,
( ~ sQ72_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f1110]) ).
fof(f1112,plain,
( ~ sQ75_spl
| ~ sQ25_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f651,f357]) ).
fof(f1113,plain,
( ~ sQ75_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1112,f80]) ).
fof(f1114,plain,
( ~ sQ75_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1113]) ).
fof(f1115,plain,
( ~ sQ74_spl
| ~ sQ71_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f344,f1077]) ).
fof(f1116,plain,
( ~ sQ36_spl
| ~ sQ71_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f344,f827]) ).
fof(f1117,plain,
( ~ sQ22_spl
| ~ sQ71_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f344,f671]) ).
fof(f1118,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f344,f93]) ).
fof(f1119,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f344,f91]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f344,f89]) ).
fof(f1121,plain,
! [X0] :
( ~ sQ71_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f344,f95]) ).
fof(f1122,plain,
( ~ sQ74_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1115,f74]) ).
fof(f1123,plain,
( ~ sQ74_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1122]) ).
fof(f1124,plain,
( ~ sQ36_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1116,f79]) ).
fof(f1125,plain,
( ~ sQ36_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1124]) ).
fof(f1126,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f341,f93]) ).
fof(f1127,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f341,f91]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f341,f89]) ).
fof(f1129,plain,
! [X0] :
( ~ sQ70_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f341,f95]) ).
fof(f1130,plain,
( ~ sQ34_spl
| ~ sQ69_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f337,f846]) ).
fof(f1131,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f337,f93]) ).
fof(f1132,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f337,f91]) ).
fof(f1133,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f337,f89]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ69_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f337,f95]) ).
fof(f1135,plain,
( ~ sQ34_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1130,f79]) ).
fof(f1136,plain,
( ~ sQ34_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f1135]) ).
fof(f1137,plain,
( ~ sQ58_spl
| ~ sQ68_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f334,f902]) ).
fof(f1138,plain,
( ~ sQ57_spl
| ~ sQ68_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f334,f908]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f334,f93]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f334,f91]) ).
fof(f1141,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f334,f89]) ).
fof(f1142,plain,
! [X0] :
( ~ sQ68_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f334,f95]) ).
fof(f1143,plain,
( ~ sQ17_spl
| ~ sQ67_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f331,f720]) ).
fof(f1144,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f331,f93]) ).
fof(f1145,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f331,f91]) ).
fof(f1146,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f331,f89]) ).
fof(f1147,plain,
! [X0] :
( ~ sQ67_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f331,f95]) ).
fof(f1148,plain,
( ~ sQ17_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1143,f80]) ).
fof(f1149,plain,
( ~ sQ17_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f1148]) ).
fof(f1150,plain,
( ~ sQ5_spl
| ~ sQ16_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f728,f169,f156,f118]) ).
fof(f1151,plain,
( ~ sQ70_spl
| ~ sQ29_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f614,f341]) ).
fof(f1152,plain,
( ~ sQ70_spl
| ~ sQ29_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f1151,f268,f197,f340]) ).
fof(f1153,plain,
( ~ sQ68_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1139,f334]) ).
fof(f1156,plain,
( ~ sQ68_spl
| ~ sQ18_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f711,f334]) ).
fof(f1157,plain,
( ~ sQ68_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1156,f80]) ).
fof(f1158,plain,
( ~ sQ68_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1157]) ).
fof(f1159,plain,
( ~ sQ76_spl
| ~ sQ66_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f328,f1063]) ).
fof(f1160,plain,
( ~ sQ16_spl
| ~ sQ66_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f328,f729]) ).
fof(f1161,plain,
( ~ sQ6_spl
| ~ sQ66_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f328,f578]) ).
fof(f1162,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f328,f93]) ).
fof(f1163,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f328,f91]) ).
fof(f1164,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f328,f89]) ).
fof(f1165,plain,
! [X0] :
( ~ sQ66_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f328,f95]) ).
fof(f1166,plain,
( ~ sQ76_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1159,f75]) ).
fof(f1167,plain,
( ~ sQ76_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1166]) ).
fof(f1168,plain,
( ~ sQ30_spl
| ~ sQ65_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f325,f878]) ).
fof(f1169,plain,
( ~ sQ12_spl
| ~ sQ65_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f325,f546]) ).
fof(f1170,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f325,f93]) ).
fof(f1171,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f325,f91]) ).
fof(f1172,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f325,f89]) ).
fof(f1173,plain,
! [X0] :
( ~ sQ65_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f325,f95]) ).
fof(f1174,plain,
( ~ sQ30_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1168,f79]) ).
fof(f1175,plain,
( ~ sQ30_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1174]) ).
fof(f1176,plain,
( ~ sQ12_spl
| ~ sQ65_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f1169,f262,f324,f140]) ).
fof(f1177,plain,
( ~ sQ16_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1160,f80]) ).
fof(f1178,plain,
( ~ sQ16_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1177]) ).
fof(f1179,plain,
( ~ sQ49_spl
| ~ sQ64_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f321,f970]) ).
fof(f1180,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f321,f93]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f321,f91]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_5)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f321,f89]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ64_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f321,f95]) ).
fof(f1184,plain,
( ~ sQ49_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1179,f79]) ).
fof(f1185,plain,
( ~ sQ49_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f1184]) ).
fof(f1186,plain,
( ~ sQ73_spl
| ~ sQ63_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f318,f1083]) ).
fof(f1187,plain,
( ~ sQ53_spl
| ~ sQ63_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f318,f938]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f93]) ).
fof(f1189,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f318,f91]) ).
fof(f1190,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f318,f89]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ63_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f95]) ).
fof(f1192,plain,
( ~ sQ73_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1186,f80]) ).
fof(f1193,plain,
( ~ sQ73_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1192]) ).
fof(f1194,plain,
( ~ sQ53_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1187,f80]) ).
fof(f1195,plain,
( ~ sQ53_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1194]) ).
fof(f1196,plain,
( ~ sQ57_spl
| ~ sQ62_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f315,f905]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f315,f93]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f315,f91]) ).
fof(f1199,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f315,f89]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ62_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f315,f95]) ).
fof(f1201,plain,
( ~ sQ57_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1196,f81]) ).
fof(f1202,plain,
( ~ sQ57_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1201]) ).
fof(f1203,plain,
( ~ sQ32_spl
| ~ sQ77_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f1046,f294,f362,f210]) ).
fof(f1204,plain,
( ~ sQ58_spl
| ~ sQ68_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1137,f317,f333,f297]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f312,f93]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f312,f91]) ).
fof(f1207,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f312,f89]) ).
fof(f1208,plain,
! [X0] :
( ~ sQ61_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f312,f95]) ).
fof(f1209,plain,
( ~ sQ61_spl
| ~ sQ72_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1096,f312]) ).
fof(f1210,plain,
( ~ sQ61_spl
| ~ sQ72_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1209,f278,f346,f311]) ).
fof(f1211,plain,
( ~ sQ77_spl
| ~ sQ60_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f309,f1052]) ).
fof(f1212,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f309,f93]) ).
fof(f1213,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f309,f91]) ).
fof(f1214,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f309,f89]) ).
fof(f1215,plain,
! [X0] :
( ~ sQ60_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f309,f95]) ).
fof(f1216,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f438,f93]) ).
fof(f1217,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f438,f91]) ).
fof(f1218,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f438,f89]) ).
fof(f1219,plain,
! [X0] :
( ~ sQ99_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f438,f95]) ).
fof(f1220,plain,
( ~ sQ58_spl
| ~ sQ98_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f435,f900]) ).
fof(f1221,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f435,f93]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f435,f91]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f435,f89]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ98_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f435,f95]) ).
fof(f1225,plain,
( ~ sQ58_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1220,f86]) ).
fof(f1226,plain,
( ~ sQ58_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f1225]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f432,f93]) ).
fof(f1228,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f432,f91]) ).
fof(f1229,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f432,f89]) ).
fof(f1230,plain,
! [X0] :
( ~ sQ97_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f432,f95]) ).
fof(f1231,plain,
( ~ sQ6_spl
| ~ sQ96_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f429,f576]) ).
fof(f1232,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f429,f93]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f429,f91]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f429,f89]) ).
fof(f1236,plain,
( ~ sQ6_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1231,f84]) ).
fof(f1237,plain,
( ~ sQ6_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f1236]) ).
fof(f1238,plain,
( ~ sQ7_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f585,f78]) ).
fof(f1239,plain,
( ~ sQ7_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1238]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f426,f93]) ).
fof(f1242,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f426,f91]) ).
fof(f1243,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f426,f89]) ).
fof(f1244,plain,
! [X0] :
( ~ sQ95_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f426,f95]) ).
fof(f1247,plain,
( ~ sQ60_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1212,f309]) ).
fof(f1249,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1214,f309]) ).
fof(f1250,plain,
( ~ sQ99_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1216,f438]) ).
fof(f1252,plain,
( ~ sQ95_spl
| ~ sQ99_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1218,f426]) ).
fof(f1253,plain,
( ~ sQ96_spl
| ~ sQ99_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1218,f429]) ).
fof(f1254,plain,
( ~ sQ97_spl
| ~ sQ99_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1218,f432]) ).
fof(f1255,plain,
( ~ sQ99_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1218,f438]) ).
fof(f1256,plain,
( ~ sQ95_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1252,f70]) ).
fof(f1257,plain,
( ~ sQ95_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1256]) ).
fof(f1258,plain,
( ~ sQ97_spl
| ~ sQ57_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f906,f432]) ).
fof(f1259,plain,
( ~ sQ97_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1258,f86]) ).
fof(f1260,plain,
( ~ sQ97_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1259]) ).
fof(f1262,plain,
( ~ sQ97_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1228,f432]) ).
fof(f1263,plain,
( ~ sQ95_spl
| ~ sQ97_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1229,f426]) ).
fof(f1264,plain,
( ~ sQ96_spl
| ~ sQ97_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1229,f429]) ).
fof(f1266,plain,
( ~ sQ95_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1263,f68]) ).
fof(f1267,plain,
( ~ sQ95_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f1266]) ).
fof(f1268,plain,
( ~ sQ96_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1253,f74]) ).
fof(f1269,plain,
( ~ sQ96_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1268]) ).
fof(f1270,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f422,f93]) ).
fof(f1271,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f422,f91]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f422,f89]) ).
fof(f1273,plain,
! [X0] :
( ~ sQ94_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f422,f95]) ).
fof(f1274,plain,
( ~ sQ18_spl
| ~ sQ93_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f419,f712]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f419,f93]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f419,f91]) ).
fof(f1277,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f419,f89]) ).
fof(f1278,plain,
! [X0] :
( ~ sQ93_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f419,f95]) ).
fof(f1279,plain,
( ~ sQ18_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1274,f85]) ).
fof(f1280,plain,
( ~ sQ18_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f1279]) ).
fof(f1281,plain,
( ~ sQ52_spl
| ~ sQ92_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f416,f955]) ).
fof(f1282,plain,
( ~ sQ27_spl
| ~ sQ92_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f416,f629]) ).
fof(f1283,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f416,f93]) ).
fof(f1284,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f416,f91]) ).
fof(f1285,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f416,f89]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ92_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f416,f95]) ).
fof(f1287,plain,
( ~ sQ52_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1281,f86]) ).
fof(f1288,plain,
( ~ sQ52_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f1287]) ).
fof(f1289,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f413,f93]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f413,f91]) ).
fof(f1291,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f413,f89]) ).
fof(f1292,plain,
! [X0] :
( ~ sQ91_spl
| product(e_5,X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f413,f95]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f410,f93]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f410,f89]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ90_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f410,f95]) ).
fof(f1297,plain,
( ~ sQ90_spl
| ~ sQ95_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1241,f410]) ).
fof(f1298,plain,
( ~ sQ90_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1297,f72]) ).
fof(f1299,plain,
( ~ sQ90_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f1298]) ).
fof(f1302,plain,
( ~ sQ90_spl
| ~ sQ94_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1272,f410]) ).
fof(f1303,plain,
( ~ sQ91_spl
| ~ sQ94_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1272,f413]) ).
fof(f1304,plain,
( ~ sQ92_spl
| ~ sQ94_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1272,f416]) ).
fof(f1305,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1272,f419]) ).
fof(f1307,plain,
( ~ sQ90_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1302,f70]) ).
fof(f1308,plain,
( ~ sQ90_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f1307]) ).
fof(f1309,plain,
( ~ sQ91_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1303,f74]) ).
fof(f1310,plain,
( ~ sQ91_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f1309]) ).
fof(f1311,plain,
( ~ sQ93_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1275,f419]) ).
fof(f1313,plain,
( ~ sQ91_spl
| ~ sQ93_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1277,f413]) ).
fof(f1314,plain,
( ~ sQ92_spl
| ~ sQ93_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1277,f416]) ).
fof(f1315,plain,
( ~ sQ93_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1277,f419]) ).
fof(f1316,plain,
( ~ sQ91_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1313,f73]) ).
fof(f1317,plain,
( ~ sQ91_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f1316]) ).
fof(f1318,plain,
( ~ sQ92_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1283,f416]) ).
fof(f1319,plain,
( ~ sQ92_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1284,f416]) ).
fof(f1320,plain,
( ~ sQ92_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1285,f416]) ).
fof(f1321,plain,
( ~ sQ39_spl
| ~ sQ89_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f406,f786]) ).
fof(f1322,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f406,f93]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f406,f91]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f406,f89]) ).
fof(f1325,plain,
! [X0] :
( ~ sQ89_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f406,f95]) ).
fof(f1326,plain,
( ~ sQ39_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1321,f84]) ).
fof(f1327,plain,
( ~ sQ39_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1326]) ).
fof(f1328,plain,
( ~ sQ33_spl
| ~ sQ88_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f403,f853]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f403,f93]) ).
fof(f1330,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f403,f91]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f403,f89]) ).
fof(f1332,plain,
! [X0] :
( ~ sQ88_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f403,f95]) ).
fof(f1333,plain,
( ~ sQ33_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1328,f85]) ).
fof(f1334,plain,
( ~ sQ33_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f1333]) ).
fof(f1335,plain,
( ~ sQ92_spl
| ~ sQ87_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f400,f1283]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f400,f93]) ).
fof(f1337,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f400,f91]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f400,f89]) ).
fof(f1339,plain,
! [X0] :
( ~ sQ87_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f400,f95]) ).
fof(f1340,plain,
( ~ sQ92_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1335,f67]) ).
fof(f1341,plain,
( ~ sQ92_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f1340]) ).
fof(f1342,plain,
( ~ sQ75_spl
| ~ sQ44_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f1099,f268,f248,f356]) ).
fof(f1343,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f397,f93]) ).
fof(f1344,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f397,f91]) ).
fof(f1345,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f397,f89]) ).
fof(f1346,plain,
! [X0] :
( ~ sQ86_spl
| product(e_5,X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f397,f95]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f394,f93]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f394,f91]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f394,f89]) ).
fof(f1350,plain,
! [X0] :
( ~ sQ85_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f394,f95]) ).
fof(f1351,plain,
( ~ sQ74_spl
| ~ sQ84_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f390,f1076]) ).
fof(f1352,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f390,f93]) ).
fof(f1353,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f390,f91]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f390,f89]) ).
fof(f1355,plain,
! [X0] :
( ~ sQ84_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f390,f95]) ).
fof(f1356,plain,
( ~ sQ74_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1351,f84]) ).
fof(f1357,plain,
( ~ sQ74_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f1356]) ).
fof(f1358,plain,
( ~ sQ88_spl
| ~ sQ43_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f763,f403]) ).
fof(f1359,plain,
( ~ sQ88_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1358,f83]) ).
fof(f1360,plain,
( ~ sQ88_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1359]) ).
fof(f1361,plain,
( ~ sQ86_spl
| ~ sQ96_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1232,f397]) ).
fof(f1362,plain,
( ~ sQ86_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1361,f68]) ).
fof(f1363,plain,
( ~ sQ86_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f1362]) ).
fof(f1364,plain,
( ~ sQ85_spl
| ~ sQ90_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1293,f394]) ).
fof(f1365,plain,
( ~ sQ85_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1364,f67]) ).
fof(f1366,plain,
( ~ sQ85_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f1365]) ).
fof(f1367,plain,
( ~ sQ84_spl
| ~ sQ89_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1322,f390]) ).
fof(f1369,plain,
( ~ sQ84_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1367,f79]) ).
fof(f1370,plain,
( ~ sQ84_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1369]) ).
fof(f1371,plain,
( ~ sQ87_spl
| ~ sQ32_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f859,f400]) ).
fof(f1372,plain,
( ~ sQ87_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1371,f85]) ).
fof(f1373,plain,
( ~ sQ87_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1372]) ).
fof(f1374,plain,
( ~ sQ85_spl
| ~ sQ35_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f838,f394]) ).
fof(f1375,plain,
( ~ sQ85_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1374,f84]) ).
fof(f1376,plain,
( ~ sQ85_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1375]) ).
fof(f1377,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f387,f93]) ).
fof(f1378,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f387,f91]) ).
fof(f1379,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f387,f89]) ).
fof(f1380,plain,
! [X0] :
( ~ sQ83_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f387,f95]) ).
fof(f1381,plain,
( ~ sQ62_spl
| ~ sQ82_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f384,f1198]) ).
fof(f1382,plain,
( ~ sQ67_spl
| ~ sQ82_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f384,f1145]) ).
fof(f1383,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f384,f93]) ).
fof(f1384,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f384,f91]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f384,f89]) ).
fof(f1386,plain,
! [X0] :
( ~ sQ82_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f384,f95]) ).
fof(f1387,plain,
( ~ sQ62_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1381,f86]) ).
fof(f1388,plain,
( ~ sQ62_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f1387]) ).
fof(f1389,plain,
( ~ sQ67_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1382,f85]) ).
fof(f1390,plain,
( ~ sQ67_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f1389]) ).
fof(f1391,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f381,f93]) ).
fof(f1392,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f381,f91]) ).
fof(f1393,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f381,f89]) ).
fof(f1394,plain,
! [X0] :
( ~ sQ81_spl
| product(e_5,X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f381,f95]) ).
fof(f1395,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f378,f93]) ).
fof(f1396,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f378,f91]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_1)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f378,f89]) ).
fof(f1398,plain,
! [X0] :
( ~ sQ80_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f378,f95]) ).
fof(f1399,plain,
( ~ sQ88_spl
| ~ sQ124_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f523,f1332]) ).
fof(f1400,plain,
( ~ sQ44_spl
| ~ sQ124_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f523,f757]) ).
fof(f1401,plain,
( ~ sQ86_spl
| ~ sQ124_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f523,f1346]) ).
fof(f1402,plain,
! [X0] :
( ~ sQ124_spl
| ~ greater(e_5,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f523,f61]) ).
fof(f1403,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f523,f93]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f523,f91]) ).
fof(f1405,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f523,f89]) ).
fof(f1406,plain,
! [X0] :
( ~ sQ124_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f523,f95]) ).
fof(f1407,plain,
( ~ sQ44_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1400,f83]) ).
fof(f1408,plain,
( ~ sQ44_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f1407]) ).
fof(f1409,plain,
( ~ sQ49_spl
| ~ sQ123_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f520,f973]) ).
fof(f1410,plain,
( ~ sQ45_spl
| ~ sQ123_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f520,f1016]) ).
fof(f1411,plain,
! [X0] :
( ~ sQ123_spl
| ~ greater(e_4,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f520,f61]) ).
fof(f1412,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f520,f93]) ).
fof(f1413,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f520,f91]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f520,f89]) ).
fof(f1415,plain,
! [X0] :
( ~ sQ123_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f520,f95]) ).
fof(f1416,plain,
( ~ sQ49_spl
| ~ sQ123_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f1409,f389,f519,f268]) ).
fof(f1417,plain,
( ~ sQ80_spl
| ~ sQ123_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f1415,f378]) ).
fof(f1418,plain,
( ~ sQ123_spl
| ~ sQ48_spl
| product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f990,f520]) ).
fof(f1419,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f998,f520]) ).
fof(f1420,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1419,f383,f262,f519]) ).
fof(f1421,plain,
( ~ sQ81_spl
| ~ sQ91_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1289,f381]) ).
fof(f1422,plain,
( ~ sQ81_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1421,f80]) ).
fof(f1423,plain,
( ~ sQ81_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f1422]) ).
fof(f1424,plain,
( ~ sQ80_spl
| ~ sQ75_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1072,f378]) ).
fof(f1425,plain,
( ~ sQ80_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1424,f83]) ).
fof(f1426,plain,
( ~ sQ80_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1425]) ).
fof(f1427,plain,
( ~ sQ83_spl
| ~ sQ88_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1329,f387]) ).
fof(f1428,plain,
( ~ sQ83_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1427,f79]) ).
fof(f1429,plain,
( ~ sQ83_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f1428]) ).
fof(f1431,plain,
( ~ sQ83_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1378,f387]) ).
fof(f1432,plain,
( ~ sQ80_spl
| ~ sQ83_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1379,f378]) ).
fof(f1433,plain,
( ~ sQ81_spl
| ~ sQ83_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1379,f381]) ).
fof(f1434,plain,
( ~ sQ83_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1379,f387]) ).
fof(f1435,plain,
( ~ sQ80_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1432,f69]) ).
fof(f1436,plain,
( ~ sQ80_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f1435]) ).
fof(f1437,plain,
( ~ sQ81_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1391,f381]) ).
fof(f1438,plain,
( ~ sQ81_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1392,f381]) ).
fof(f1439,plain,
( ~ sQ81_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1393,f381]) ).
fof(f1440,plain,
( ~ sQ81_spl
| ~ sQ71_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1119,f381]) ).
fof(f1441,plain,
( ~ sQ81_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1440,f84]) ).
fof(f1442,plain,
( ~ sQ81_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1441]) ).
fof(f1443,plain,
( ~ sQ31_spl
| ~ sQ122_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f517,f873]) ).
fof(f1444,plain,
! [X0] :
( ~ sQ122_spl
| ~ greater(e_3,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f517,f61]) ).
fof(f1445,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f517,f93]) ).
fof(f1446,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f517,f91]) ).
fof(f1447,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f517,f89]) ).
fof(f1448,plain,
! [X0] :
( ~ sQ122_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f517,f95]) ).
fof(f1449,plain,
( ~ sQ31_spl
| ~ sQ122_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f1443,f428,f516,f207]) ).
fof(f1450,plain,
( ~ sQ38_spl
| ~ sQ121_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f514,f812]) ).
fof(f1451,plain,
( ~ sQ37_spl
| ~ sQ121_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f514,f820]) ).
fof(f1452,plain,
( ~ sQ11_spl
| ~ sQ121_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f514,f552]) ).
fof(f1453,plain,
! [X0] :
( ~ sQ121_spl
| ~ greater(e_2,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f514,f61]) ).
fof(f1454,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f514,f93]) ).
fof(f1455,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f514,f91]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f514,f89]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ121_spl
| product(e_1,X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f514,f95]) ).
fof(f1458,plain,
( ~ sQ37_spl
| ~ sQ121_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1451,f415,f513,f226]) ).
fof(f1459,plain,
( ~ sQ11_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1452,f85]) ).
fof(f1460,plain,
( ~ sQ11_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f1459]) ).
fof(f1461,plain,
( ~ sQ53_spl
| ~ sQ73_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1080,f317,f349,f281]) ).
fof(f1462,plain,
( ~ sQ92_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1304,f78]) ).
fof(f1463,plain,
( ~ sQ92_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f1462]) ).
fof(f1466,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f511,f91]) ).
fof(f1468,plain,
! [X0] :
( ~ sQ120_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f511,f95]) ).
fof(f1469,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f507,f93]) ).
fof(f1470,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f507,f91]) ).
fof(f1471,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f507,f89]) ).
fof(f1472,plain,
! [X0] :
( ~ sQ119_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f507,f95]) ).
fof(f1474,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f504,f91]) ).
fof(f1475,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f504,f89]) ).
fof(f1476,plain,
! [X0] :
( ~ sQ118_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f504,f95]) ).
fof(f1477,plain,
( ~ sQ120_spl
| ~ sQ42_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f772,f511]) ).
fof(f1478,plain,
( ~ sQ120_spl
| ~ sQ42_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f1477,f399,f242,f510]) ).
fof(f1479,plain,
( ~ sQ119_spl
| ~ sQ92_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f1286,f507]) ).
fof(f1480,plain,
( ~ sQ118_spl
| ~ sQ50_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f969,f504]) ).
fof(f1481,plain,
( ~ sQ120_spl
| ~ sQ41_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f779,f511]) ).
fof(f1482,plain,
( ~ sQ118_spl
| ~ sQ120_spl
| ~ sQ41_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f1481,f1476]) ).
fof(f1483,plain,
( ~ sQ119_spl
| ~ sQ120_spl
| ~ sQ41_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f1481,f1472]) ).
fof(f1484,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ41_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1481,f93]) ).
fof(f1485,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ41_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1481,f91]) ).
fof(f1486,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1481,f89]) ).
fof(f1487,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ41_spl
| product(e_5,X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1481,f95]) ).
fof(f1488,plain,
( ~ sQ119_spl
| ~ sQ120_spl
| ~ sQ41_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f1483,f197,f239,f510,f506]) ).
fof(f1492,plain,
( ~ sQ118_spl
| ~ sQ117_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f501,f1475]) ).
fof(f1493,plain,
( ~ sQ16_spl
| ~ sQ117_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f501,f732]) ).
fof(f1494,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f501,f93]) ).
fof(f1495,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f501,f91]) ).
fof(f1496,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f501,f89]) ).
fof(f1497,plain,
! [X0] :
( ~ sQ117_spl
| product(e_2,X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f501,f95]) ).
fof(f1498,plain,
( ~ sQ118_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1492,f77]) ).
fof(f1499,plain,
( ~ sQ118_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f1498]) ).
fof(f1500,plain,
( ~ sQ20_spl
| ~ sQ116_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f498,f687]) ).
fof(f1501,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f498,f93]) ).
fof(f1502,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f498,f91]) ).
fof(f1503,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f498,f89]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ116_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f498,f95]) ).
fof(f1505,plain,
( ~ sQ20_spl
| ~ sQ116_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1500,f409,f497,f169]) ).
fof(f1506,plain,
( ~ sQ28_spl
| ~ sQ115_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f495,f623]) ).
fof(f1507,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f495,f93]) ).
fof(f1508,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f495,f91]) ).
fof(f1509,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f495,f89]) ).
fof(f1510,plain,
! [X0] :
( ~ sQ115_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f495,f95]) ).
fof(f1511,plain,
( ~ sQ28_spl
| ~ sQ115_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1506,f402,f494,f194]) ).
fof(f1512,plain,
( ~ sQ97_spl
| ~ sQ114_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f491,f1230]) ).
fof(f1513,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f491,f93]) ).
fof(f1514,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f491,f91]) ).
fof(f1515,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f491,f89]) ).
fof(f1516,plain,
! [X0] :
( ~ sQ114_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f491,f95]) ).
fof(f1517,plain,
( ~ sQ68_spl
| ~ sQ113_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f488,f1139]) ).
fof(f1518,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f488,f93]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f488,f91]) ).
fof(f1520,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f488,f89]) ).
fof(f1521,plain,
! [X0] :
( ~ sQ113_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f488,f95]) ).
fof(f1522,plain,
( ~ sQ68_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1517,f86]) ).
fof(f1523,plain,
( ~ sQ68_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f1522]) ).
fof(f1524,plain,
( ~ sQ113_spl
| ~ sQ56_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f912,f488]) ).
fof(f1525,plain,
( ~ sQ113_spl
| ~ sQ56_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1524,f380,f291,f487]) ).
fof(f1527,plain,
( ~ sQ114_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1514,f491]) ).
fof(f1528,plain,
( ~ sQ122_spl
| ~ sQ112_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f485,f1446]) ).
fof(f1529,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f485,f93]) ).
fof(f1530,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f485,f91]) ).
fof(f1531,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f485,f89]) ).
fof(f1532,plain,
! [X0] :
( ~ sQ112_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f485,f95]) ).
fof(f1533,plain,
( ~ sQ122_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1528,f75]) ).
fof(f1534,plain,
( ~ sQ122_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f1533]) ).
fof(f1535,plain,
( ~ sQ38_spl
| ~ sQ121_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1450,f418,f513,f229]) ).
fof(f1536,plain,
( ~ sQ92_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1314,f77]) ).
fof(f1537,plain,
( ~ sQ92_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f1536]) ).
fof(f1538,plain,
( ~ sQ45_spl
| ~ sQ123_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1410,f377,f519,f256]) ).
fof(f1539,plain,
( ~ sQ123_spl
| ~ sQ48_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f1418,f386,f265,f519]) ).
fof(f1540,plain,
( ~ sQ116_spl
| ~ sQ111_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f482,f1502]) ).
fof(f1541,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f482,f93]) ).
fof(f1542,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f482,f91]) ).
fof(f1543,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f482,f89]) ).
fof(f1544,plain,
! [X0] :
( ~ sQ111_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f482,f95]) ).
fof(f1545,plain,
( ~ sQ116_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1540,f76]) ).
fof(f1546,plain,
( ~ sQ116_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f1545]) ).
fof(f1547,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f479,f93]) ).
fof(f1548,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f479,f91]) ).
fof(f1549,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f479,f89]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ110_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f479,f95]) ).
fof(f1551,plain,
( ~ sQ114_spl
| ~ sQ109_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f475,f1514]) ).
fof(f1552,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f475,f93]) ).
fof(f1553,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f475,f91]) ).
fof(f1554,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f475,f89]) ).
fof(f1555,plain,
! [X0] :
( ~ sQ109_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f475,f95]) ).
fof(f1556,plain,
( ~ sQ114_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1551,f81]) ).
fof(f1557,plain,
( ~ sQ114_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f1556]) ).
fof(f1562,plain,
( ~ sQ45_spl
| ~ sQ118_spl
| ~ sQ120_spl
| ~ sQ41_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1482,f1016]) ).
fof(f1563,plain,
( ~ sQ78_spl
| ~ sQ118_spl
| ~ sQ120_spl
| ~ sQ41_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1482,f1039]) ).
fof(f1564,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ120_spl
| ~ sQ41_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f1482,f61]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ120_spl
| ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1482,f93]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ120_spl
| ~ sQ41_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1482,f91]) ).
fof(f1567,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ120_spl
| ~ sQ41_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1482,f89]) ).
fof(f1568,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ120_spl
| ~ sQ41_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1482,f95]) ).
fof(f1569,plain,
( ~ sQ78_spl
| ~ sQ118_spl
| ~ sQ120_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1563,f73]) ).
fof(f1570,plain,
( ~ sQ78_spl
| ~ sQ118_spl
| ~ sQ120_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f1569]) ).
fof(f1571,plain,
( ~ sQ16_spl
| ~ sQ117_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f1493,f428,f500,f156]) ).
fof(f1572,plain,
( ~ sQ110_spl
| ~ sQ13_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f539,f479]) ).
fof(f1573,plain,
( ~ sQ110_spl
| ~ sQ13_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1572,f402,f143,f478]) ).
fof(f1574,plain,
( ~ sQ111_spl
| ~ sQ7_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f574,f482]) ).
fof(f1575,plain,
( ~ sQ111_spl
| ~ sQ7_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1574,f415,f124,f481]) ).
fof(f1576,plain,
( ~ sQ110_spl
| ~ sQ10_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f562,f479]) ).
fof(f1577,plain,
( ~ sQ110_spl
| ~ sQ10_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f1576,f393,f134,f478]) ).
fof(f1579,plain,
( ~ sQ64_spl
| ~ sQ108_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f472,f1183]) ).
fof(f1580,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f472,f93]) ).
fof(f1581,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f472,f91]) ).
fof(f1582,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f472,f89]) ).
fof(f1583,plain,
! [X0] :
( ~ sQ108_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f472,f95]) ).
fof(f1584,plain,
( ~ sQ65_spl
| ~ sQ107_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f469,f1173]) ).
fof(f1585,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f469,f93]) ).
fof(f1586,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f469,f91]) ).
fof(f1587,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f469,f89]) ).
fof(f1588,plain,
! [X0] :
( ~ sQ107_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f469,f95]) ).
fof(f1589,plain,
( ~ sQ65_spl
| ~ sQ107_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1584,f425,f468,f324]) ).
fof(f1590,plain,
( ~ sQ73_spl
| ~ sQ106_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f466,f1085]) ).
fof(f1591,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f466,f93]) ).
fof(f1592,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f466,f91]) ).
fof(f1593,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f466,f89]) ).
fof(f1595,plain,
( ~ sQ73_spl
| ~ sQ106_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1590,f418,f465,f349]) ).
fof(f1596,plain,
( ~ sQ120_spl
| ~ sQ105_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f463,f1466]) ).
fof(f1597,plain,
( ~ sQ78_spl
| ~ sQ105_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f463,f1042]) ).
fof(f1598,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f463,f93]) ).
fof(f1599,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f463,f91]) ).
fof(f1600,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f463,f89]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ105_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f463,f95]) ).
fof(f1602,plain,
( ~ sQ120_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1596,f79]) ).
fof(f1603,plain,
( ~ sQ120_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f1602]) ).
fof(f1604,plain,
( ~ sQ78_spl
| ~ sQ105_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1597,f402,f462,f365]) ).
fof(f1605,plain,
( ~ sQ80_spl
| ~ sQ123_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f1417,f265,f519,f377]) ).
fof(f1606,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f93]) ).
fof(f1607,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f459,f91]) ).
fof(f1608,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f459,f89]) ).
fof(f1609,plain,
! [X0] :
( ~ sQ104_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f95]) ).
fof(f1610,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f456,f93]) ).
fof(f1611,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f456,f91]) ).
fof(f1612,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f456,f89]) ).
fof(f1613,plain,
! [X0] :
( ~ sQ103_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f456,f95]) ).
fof(f1614,plain,
( ~ sQ103_spl
| ~ sQ108_spl
| product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f1583,f456]) ).
fof(f1618,plain,
( ~ sQ103_spl
| ~ sQ118_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1474,f456]) ).
fof(f1619,plain,
( ~ sQ108_spl
| ~ sQ118_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1474,f472]) ).
fof(f1620,plain,
( ~ sQ103_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1618,f84]) ).
fof(f1621,plain,
( ~ sQ103_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f1620]) ).
fof(f1622,plain,
( ~ sQ81_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1433,f73]) ).
fof(f1623,plain,
( ~ sQ81_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f1622]) ).
fof(f1625,plain,
( ~ sQ108_spl
| ~ sQ63_spl
| product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f1191,f472]) ).
fof(f1626,plain,
( ~ sQ108_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1580,f472]) ).
fof(f1628,plain,
( ~ sQ108_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1582,f472]) ).
fof(f1629,plain,
( ~ sQ113_spl
| ~ sQ102_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f453,f1521]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f453,f93]) ).
fof(f1631,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f453,f91]) ).
fof(f1632,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f453,f89]) ).
fof(f1633,plain,
! [X0] :
( ~ sQ102_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f453,f95]) ).
fof(f1634,plain,
( ~ sQ116_spl
| ~ sQ101_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f450,f1504]) ).
fof(f1635,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f450,f93]) ).
fof(f1636,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f450,f91]) ).
fof(f1637,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f450,f89]) ).
fof(f1638,plain,
! [X0] :
( ~ sQ101_spl
| product(e_5,X0,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f450,f95]) ).
fof(f1639,plain,
( ~ sQ116_spl
| ~ sQ101_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f1634,f412,f449,f497]) ).
fof(f1640,plain,
( ~ sQ122_spl
| ~ sQ100_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f447,f1448]) ).
fof(f1641,plain,
( ~ sQ90_spl
| ~ sQ100_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f447,f1293]) ).
fof(f1642,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f447,f93]) ).
fof(f1643,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f447,f91]) ).
fof(f1644,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f447,f89]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ100_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f447,f95]) ).
fof(f1646,plain,
( ~ sQ90_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1641,f84]) ).
fof(f1647,plain,
( ~ sQ90_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f1646]) ).
fof(f1648,plain,
( ~ sQ27_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1282,f83]) ).
fof(f1649,plain,
( ~ sQ27_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f1648]) ).
fof(f1650,plain,
( ~ sQ8_spl
| ~ sQ3_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f112,f568]) ).
fof(f1651,plain,
( ~ sQ55_spl
| ~ sQ3_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f112,f917]) ).
fof(f1652,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f112,f93]) ).
fof(f1653,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f112,f91]) ).
fof(f1654,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f112,f89]) ).
fof(f1655,plain,
! [X0] :
( ~ sQ3_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f112,f95]) ).
fof(f1656,plain,
( ~ sQ8_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1650,f76]) ).
fof(f1657,plain,
( ~ sQ8_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f1656]) ).
fof(f1658,plain,
( ~ sQ55_spl
| ~ sQ3_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f1651,f324,f111,f288]) ).
fof(f1661,plain,
( ~ sQ101_spl
| ~ sQ117_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f1497,f450]) ).
fof(f1663,plain,
( ~ sQ100_spl
| ~ sQ121_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f1457,f447]) ).
fof(f1666,plain,
( ~ sQ122_spl
| ~ sQ100_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f1640,f399,f446,f516]) ).
fof(f1667,plain,
( ~ sQ113_spl
| ~ sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f1629,f434,f452,f487]) ).
fof(f1670,plain,
( ~ sQ101_spl
| ~ sQ104_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1608,f450]) ).
fof(f1671,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1608,f459]) ).
fof(f1672,plain,
( ~ sQ101_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1670,f74]) ).
fof(f1673,plain,
( ~ sQ101_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f1672]) ).
fof(f1675,plain,
( ~ sQ108_spl
| ~ sQ63_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1188,f472]) ).
fof(f1676,plain,
( ~ sQ108_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1675,f86]) ).
fof(f1677,plain,
( ~ sQ108_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1676]) ).
fof(f1678,plain,
( ~ sQ119_spl
| ~ sQ92_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1479,f452,f415,f506]) ).
fof(f1679,plain,
( ~ sQ12_spl
| ~ sQ2_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f109,f544]) ).
fof(f1680,plain,
( ~ sQ17_spl
| ~ sQ2_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f109,f720]) ).
fof(f1681,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f93]) ).
fof(f1682,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f109,f91]) ).
fof(f1683,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f109,f89]) ).
fof(f1684,plain,
! [X0] :
( ~ sQ2_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f95]) ).
fof(f1685,plain,
( ~ sQ12_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1679,f75]) ).
fof(f1686,plain,
( ~ sQ12_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1685]) ).
fof(f1687,plain,
( ~ sQ17_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1680,f76]) ).
fof(f1688,plain,
( ~ sQ17_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f1687]) ).
fof(f1689,plain,
( ~ sQ66_spl
| ~ sQ1_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f106,f1162]) ).
fof(f1690,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f106,f578]) ).
fof(f1691,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f106,f93]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f106,f91]) ).
fof(f1693,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f106,f89]) ).
fof(f1694,plain,
! [X0] :
( ~ sQ1_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f106,f95]) ).
fof(f1695,plain,
( ~ sQ66_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1689,f77]) ).
fof(f1696,plain,
( ~ sQ66_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1695]) ).
fof(f1697,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f1690,f156,f105,f121]) ).
fof(f1698,plain,
( ~ sQ26_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1060,f80]) ).
fof(f1699,plain,
( ~ sQ26_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f1698]) ).
fof(f1700,plain,
( ~ sQ77_spl
| ~ sQ60_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f1211,f262,f308,f362]) ).
fof(f1701,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f103,f93]) ).
fof(f1702,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f103,f91]) ).
fof(f1703,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f103,f89]) ).
fof(f1704,plain,
! [X0] :
( ~ sQ0_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f103,f95]) ).
fof(f1707,plain,
( ~ sQ0_spl
| ~ sQ10_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f560,f103]) ).
fof(f1708,plain,
( ~ sQ0_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1707,f75]) ).
fof(f1709,plain,
( ~ sQ0_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1708]) ).
fof(f1710,plain,
( ~ sQ57_spl
| ~ sQ68_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1138,f314,f333,f294]) ).
fof(f1711,plain,
( ~ sQ51_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f276,f964]) ).
fof(f1712,plain,
( ~ sQ51_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f276,f963]) ).
fof(f1713,plain,
( ~ sQ56_spl
| ~ sQ51_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f276,f909]) ).
fof(f1714,plain,
( ~ sQ61_spl
| ~ sQ51_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f276,f1205]) ).
fof(f1715,plain,
( ~ sQ106_spl
| ~ sQ51_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f276,f1591]) ).
fof(f1717,plain,
( ~ sQ74_spl
| ~ sQ51_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f276,f1078]) ).
fof(f1722,plain,
( ~ sQ56_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1713,f72]) ).
fof(f1723,plain,
( ~ sQ56_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1722]) ).
fof(f1725,plain,
( ~ sQ64_spl
| ~ sQ74_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f353,f1181]) ).
fof(f1727,plain,
( ~ sQ24_spl
| ~ sQ74_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f353,f658]) ).
fof(f1728,plain,
( ~ sQ93_spl
| ~ sQ74_spl
| product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f353,f1278]) ).
fof(f1729,plain,
( ~ sQ90_spl
| ~ sQ74_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f353,f1296]) ).
fof(f1735,plain,
( ~ sQ64_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1725,f73]) ).
fof(f1736,plain,
( ~ sQ64_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f1735]) ).
fof(f1737,plain,
( ~ sQ22_spl
| ~ sQ71_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1117,f278,f343,f175]) ).
fof(f1738,plain,
( ~ sQ106_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f466,f1593]) ).
fof(f1739,plain,
( ~ sQ111_spl
| ~ sQ106_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f466,f1542]) ).
fof(f1740,plain,
( ~ sQ106_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f466,f1592]) ).
fof(f1741,plain,
( ~ sQ46_spl
| ~ sQ106_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f466,f1006]) ).
fof(f1742,plain,
( ~ sQ73_spl
| ~ sQ106_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f466,f1085]) ).
fof(f1743,plain,
( ~ sQ61_spl
| ~ sQ106_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f466,f1205]) ).
fof(f1744,plain,
( ~ sQ106_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f466,f1591]) ).
fof(f1745,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f466,f93]) ).
fof(f1746,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f466,f91]) ).
fof(f1747,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f466,f89]) ).
fof(f1748,plain,
! [X0] :
( ~ sQ106_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f466,f95]) ).
fof(f1749,plain,
( ~ sQ111_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1739,f81]) ).
fof(f1750,plain,
( ~ sQ111_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f1749]) ).
fof(f1751,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1305,f82]) ).
fof(f1752,plain,
( ~ sQ93_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f1751]) ).
fof(f1753,plain,
( ~ sQ103_spl
| ~ sQ108_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f1614,f386,f471,f455]) ).
fof(f1754,plain,
( ~ sQ61_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1743,f86]) ).
fof(f1755,plain,
( ~ sQ61_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f1754]) ).
fof(f1756,plain,
( ~ sQ95_spl
| ~ sQ98_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f435,f1243]) ).
fof(f1757,plain,
( ~ sQ98_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f435,f1223]) ).
fof(f1758,plain,
( ~ sQ98_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f435,f1222]) ).
fof(f1759,plain,
( ~ sQ105_spl
| ~ sQ98_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f435,f1601]) ).
fof(f1760,plain,
( ~ sQ88_spl
| ~ sQ98_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f435,f1329]) ).
fof(f1766,plain,
( ~ sQ95_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1756,f79]) ).
fof(f1767,plain,
( ~ sQ95_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f1766]) ).
fof(f1768,plain,
( ~ sQ117_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f501,f1496]) ).
fof(f1769,plain,
( ~ sQ102_spl
| ~ sQ117_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f501,f1631]) ).
fof(f1770,plain,
( ~ sQ117_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f501,f1495]) ).
fof(f1771,plain,
( ~ sQ7_spl
| ~ sQ117_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f501,f571]) ).
fof(f1773,plain,
( ~ sQ17_spl
| ~ sQ117_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f501,f723]) ).
fof(f1778,plain,
( ~ sQ102_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1769,f74]) ).
fof(f1779,plain,
( ~ sQ102_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f1778]) ).
fof(f1780,plain,
( ~ sQ78_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f366,f1041]) ).
fof(f1781,plain,
( ~ sQ73_spl
| ~ sQ78_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f366,f1083]) ).
fof(f1782,plain,
( ~ sQ78_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f366,f1040]) ).
fof(f1783,plain,
( ~ sQ13_spl
| ~ sQ78_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f366,f536]) ).
fof(f1784,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f366,f998]) ).
fof(f1791,plain,
( ~ sQ73_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1781,f67]) ).
fof(f1792,plain,
( ~ sQ73_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1791]) ).
fof(f1793,plain,
( ~ sQ120_spl
| ~ sQ41_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f1481,f396,f239,f510]) ).
fof(f1795,plain,
( ~ sQ17_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f160,f721]) ).
fof(f1796,plain,
( ~ sQ17_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f160,f720]) ).
fof(f1797,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f160,f1704]) ).
fof(f1802,plain,
( ~ sQ0_spl
| ~ sQ17_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f1797,f118,f159,f102]) ).
fof(f1803,plain,
( ~ sQ110_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f479,f1549]) ).
fof(f1804,plain,
( ~ sQ105_spl
| ~ sQ110_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f479,f1599]) ).
fof(f1805,plain,
( ~ sQ110_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f479,f1548]) ).
fof(f1806,plain,
( ~ sQ13_spl
| ~ sQ110_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f479,f539]) ).
fof(f1807,plain,
( ~ sQ30_spl
| ~ sQ110_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f479,f878]) ).
fof(f1808,plain,
( ~ sQ110_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f479,f1547]) ).
fof(f1813,plain,
( ~ sQ105_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1804,f77]) ).
fof(f1814,plain,
( ~ sQ105_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f1813]) ).
fof(f1815,plain,
( ~ sQ108_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1619,f80]) ).
fof(f1816,plain,
( ~ sQ108_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f1815]) ).
fof(f1818,plain,
( ~ sQ75_spl
| ~ sQ60_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f309,f1072]) ).
fof(f1820,plain,
( ~ sQ45_spl
| ~ sQ60_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f309,f1013]) ).
fof(f1821,plain,
( ~ sQ75_spl
| ~ sQ60_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f309,f1074]) ).
fof(f1827,plain,
( ~ sQ75_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1818,f79]) ).
fof(f1828,plain,
( ~ sQ75_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1827]) ).
fof(f1829,plain,
( ~ sQ30_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f205,f880]) ).
fof(f1830,plain,
( ~ sQ40_spl
| ~ sQ30_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f205,f782]) ).
fof(f1831,plain,
( ~ sQ30_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f879]) ).
fof(f1832,plain,
( ~ sQ13_spl
| ~ sQ30_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f205,f539]) ).
fof(f1833,plain,
( ~ sQ30_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f205,f878]) ).
fof(f1838,plain,
( ~ sQ40_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1830,f75]) ).
fof(f1839,plain,
( ~ sQ40_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1838]) ).
fof(f1840,plain,
( ~ sQ91_spl
| ~ sQ90_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f410,f1291]) ).
fof(f1841,plain,
( ~ sQ90_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f410,f1295]) ).
fof(f1842,plain,
( ~ sQ50_spl
| ~ sQ90_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f410,f967]) ).
fof(f1843,plain,
( ~ sQ25_spl
| ~ sQ90_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f410,f652]) ).
fof(f1844,plain,
( ~ sQ20_spl
| ~ sQ90_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f410,f685]) ).
fof(f1846,plain,
( ~ sQ80_spl
| ~ sQ90_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f410,f1395]) ).
fof(f1847,plain,
( ~ sQ120_spl
| ~ sQ90_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f410,f1468]) ).
fof(f1849,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f410,f93]) ).
fof(f1850,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f410,f91]) ).
fof(f1851,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f410,f89]) ).
fof(f1852,plain,
! [X0] :
( ~ sQ90_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f410,f95]) ).
fof(f1853,plain,
( ~ sQ91_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1840,f67]) ).
fof(f1854,plain,
( ~ sQ91_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f1853]) ).
fof(f1855,plain,
( ~ sQ105_spl
| ~ sQ98_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f1759,f324,f434,f462]) ).
fof(f1856,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f1579,f93]) ).
fof(f1857,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ108_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1579,f91]) ).
fof(f1858,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ108_spl
| equalish(X0,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1579,f89]) ).
fof(f1859,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ108_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1579,f95]) ).
fof(f1864,plain,
( ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f119,f599]) ).
fof(f1865,plain,
( ~ sQ5_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f119,f598]) ).
fof(f1866,plain,
( ~ sQ25_spl
| ~ sQ5_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f119,f654]) ).
fof(f1872,plain,
( ~ sQ25_spl
| ~ sQ5_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1866,f204,f118,f185]) ).
fof(f1873,plain,
( ~ sQ1_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f106,f1693]) ).
fof(f1874,plain,
( ~ sQ1_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f106,f1692]) ).
fof(f1875,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f106,f870]) ).
fof(f1877,plain,
( ~ sQ5_spl
| ~ sQ1_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f106,f600]) ).
fof(f1882,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1875,f75]) ).
fof(f1883,plain,
( ~ sQ31_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1882]) ).
fof(f1886,plain,
( ~ sQ33_spl
| ~ sQ77_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f363,f855]) ).
fof(f1893,plain,
( ~ sQ33_spl
| ~ sQ77_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f1886,f297,f362,f213]) ).
fof(f1894,plain,
( ~ sQ97_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1254,f78]) ).
fof(f1895,plain,
( ~ sQ97_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1894]) ).
fof(f1897,plain,
( ~ sQ121_spl
| ~ sQ116_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f498,f1455]) ).
fof(f1898,plain,
( ~ sQ116_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f498,f1502]) ).
fof(f1899,plain,
( ~ sQ71_spl
| ~ sQ116_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f498,f1118]) ).
fof(f1900,plain,
( ~ sQ21_spl
| ~ sQ116_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f498,f674]) ).
fof(f1901,plain,
( ~ sQ21_spl
| ~ sQ116_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f498,f677]) ).
fof(f1902,plain,
( ~ sQ116_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f498,f1501]) ).
fof(f1907,plain,
( ~ sQ121_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1897,f71]) ).
fof(f1908,plain,
( ~ sQ121_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f1907]) ).
fof(f1910,plain,
( ~ sQ21_spl
| ~ sQ91_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f413,f675]) ).
fof(f1917,plain,
( ~ sQ21_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1910,f84]) ).
fof(f1918,plain,
( ~ sQ21_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f1917]) ).
fof(f1920,plain,
( ~ sQ49_spl
| ~ sQ39_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f233,f971]) ).
fof(f1922,plain,
( ~ sQ119_spl
| ~ sQ39_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f233,f1469]) ).
fof(f1923,plain,
( ~ sQ74_spl
| ~ sQ39_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f233,f1075]) ).
fof(f1924,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f233,f1273]) ).
fof(f1926,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f233,f93]) ).
fof(f1927,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f233,f91]) ).
fof(f1928,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f233,f89]) ).
fof(f1929,plain,
! [X0] :
( ~ sQ39_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f233,f95]) ).
fof(f1930,plain,
( ~ sQ49_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1920,f73]) ).
fof(f1931,plain,
( ~ sQ49_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1930]) ).
fof(f1932,plain,
( ~ sQ118_spl
| ~ sQ50_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1480,f377,f272,f503]) ).
fof(f1933,plain,
( ~ sQ38_spl
| ~ sQ76_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f1059,f281,f359,f229]) ).
fof(f1934,plain,
( ~ sQ45_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1820,f79]) ).
fof(f1935,plain,
( ~ sQ45_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1934]) ).
fof(f1936,plain,
( ~ sQ65_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f325,f1172]) ).
fof(f1937,plain,
( ~ sQ65_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f325,f1171]) ).
fof(f1938,plain,
( ~ sQ65_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f325,f1170]) ).
fof(f1939,plain,
( ~ sQ13_spl
| ~ sQ65_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f325,f539]) ).
fof(f1946,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f144,f998]) ).
fof(f1953,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1946,f330,f143,f262]) ).
fof(f1954,plain,
( ~ sQ5_spl
| ~ sQ1_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1877,f153,f105,f118]) ).
fof(f1955,plain,
( ~ sQ74_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f353,f1077]) ).
fof(f1956,plain,
( ~ sQ74_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f353,f1076]) ).
fof(f1957,plain,
( ~ sQ92_spl
| ~ sQ74_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f353,f1286]) ).
fof(f1963,plain,
( ~ sQ92_spl
| ~ sQ74_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f1957,f468,f352,f415]) ).
fof(f1964,plain,
( ~ sQ76_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f360,f1064]) ).
fof(f1965,plain,
( ~ sQ61_spl
| ~ sQ76_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f360,f1206]) ).
fof(f1966,plain,
( ~ sQ81_spl
| ~ sQ76_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f360,f1392]) ).
fof(f1968,plain,
( ~ sQ41_spl
| ~ sQ76_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f360,f776]) ).
fof(f1969,plain,
( ~ sQ35_spl
| ~ sQ76_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f360,f840]) ).
fof(f1970,plain,
( ~ sQ121_spl
| ~ sQ76_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f360,f1454]) ).
fof(f1971,plain,
( ~ sQ76_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f360,f1062]) ).
fof(f1977,plain,
( ~ sQ61_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1965,f69]) ).
fof(f1978,plain,
( ~ sQ61_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f1977]) ).
fof(f1981,plain,
( ~ sQ41_spl
| ~ sQ25_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f186,f779]) ).
fof(f1988,plain,
( ~ sQ41_spl
| ~ sQ25_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1981,f223,f185,f239]) ).
fof(f1989,plain,
( ~ sQ13_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1783,f81]) ).
fof(f1990,plain,
( ~ sQ13_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1989]) ).
fof(f1993,plain,
( ~ sQ74_spl
| ~ sQ51_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1717,f1075]) ).
fof(f1994,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1717,f93]) ).
fof(f1995,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1717,f91]) ).
fof(f1996,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1717,f89]) ).
fof(f1997,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ51_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1717,f95]) ).
fof(f2001,plain,
( ~ sQ74_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1993,f73]) ).
fof(f2002,plain,
( ~ sQ74_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2001]) ).
fof(f2003,plain,
( ~ sQ17_spl
| ~ sQ72_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f1091,f294,f346,f159]) ).
fof(f2006,plain,
( ~ sQ102_spl
| ~ sQ92_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f416,f1630]) ).
fof(f2012,plain,
( ~ sQ102_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2006,f74]) ).
fof(f2013,plain,
( ~ sQ102_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f2012]) ).
fof(f2014,plain,
( ~ sQ120_spl
| ~ sQ90_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f1847,f220,f409,f510]) ).
fof(f2015,plain,
( ~ sQ20_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1844,f84]) ).
fof(f2016,plain,
( ~ sQ20_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f2015]) ).
fof(f2017,plain,
( ~ sQ36_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f224,f829]) ).
fof(f2019,plain,
( ~ sQ36_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f224,f827]) ).
fof(f2020,plain,
( ~ sQ22_spl
| ~ sQ36_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f224,f671]) ).
fof(f2025,plain,
( ~ sQ22_spl
| ~ sQ36_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f2020,f191,f223,f175]) ).
fof(f2027,plain,
( ~ sQ67_spl
| ~ sQ77_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f363,f1145]) ).
fof(f2028,plain,
( ~ sQ72_spl
| ~ sQ77_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f363,f1094]) ).
fof(f2030,plain,
( ~ sQ12_spl
| ~ sQ77_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f363,f543]) ).
fof(f2032,plain,
( ~ sQ30_spl
| ~ sQ77_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f363,f881]) ).
fof(f2033,plain,
! [X0] :
( ~ sQ77_spl
| ~ greater(e_3,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f363,f61]) ).
fof(f2034,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f363,f93]) ).
fof(f2035,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f363,f91]) ).
fof(f2036,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f363,f89]) ).
fof(f2037,plain,
! [X0] :
( ~ sQ77_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f363,f95]) ).
fof(f2038,plain,
( ~ sQ67_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2027,f68]) ).
fof(f2039,plain,
( ~ sQ67_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f2038]) ).
fof(f2042,plain,
( ~ sQ49_spl
| ~ sQ43_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f246,f973]) ).
fof(f2049,plain,
( ~ sQ49_spl
| ~ sQ43_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f2042,f368,f245,f268]) ).
fof(f2052,plain,
( ~ sQ87_spl
| ~ sQ97_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f432,f1336]) ).
fof(f2053,plain,
( ~ sQ97_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f432,f1227]) ).
fof(f2054,plain,
( ~ sQ112_spl
| ~ sQ97_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f432,f1532]) ).
fof(f2059,plain,
( ~ sQ87_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2052,f75]) ).
fof(f2060,plain,
( ~ sQ87_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f2059]) ).
fof(f2061,plain,
( ~ sQ112_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f485,f1531]) ).
fof(f2062,plain,
( ~ sQ117_spl
| ~ sQ112_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f485,f1495]) ).
fof(f2064,plain,
( ~ sQ2_spl
| ~ sQ112_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f485,f1684]) ).
fof(f2065,plain,
( ~ sQ112_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f485,f1529]) ).
fof(f2070,plain,
( ~ sQ117_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2062,f76]) ).
fof(f2071,plain,
( ~ sQ117_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f2070]) ).
fof(f2073,plain,
( ~ sQ110_spl
| ~ sQ120_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f511,f1548]) ).
fof(f2075,plain,
( ~ sQ40_spl
| ~ sQ120_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f511,f781]) ).
fof(f2076,plain,
( ~ sQ40_spl
| ~ sQ120_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f511,f784]) ).
fof(f2077,plain,
( ~ sQ75_spl
| ~ sQ120_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f511,f1071]) ).
fof(f2079,plain,
! [X0] :
( ~ sQ120_spl
| ~ greater(e_1,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f511,f61]) ).
fof(f2080,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f511,f93]) ).
fof(f2081,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f511,f91]) ).
fof(f2082,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f511,f89]) ).
fof(f2083,plain,
! [X0] :
( ~ sQ120_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f511,f95]) ).
fof(f2084,plain,
( ~ sQ110_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2073,f68]) ).
fof(f2085,plain,
( ~ sQ110_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f2084]) ).
fof(f2086,plain,
( ~ sQ71_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1899,f86]) ).
fof(f2087,plain,
( ~ sQ71_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f2086]) ).
fof(f2089,plain,
( ~ sQ91_spl
| ~ sQ26_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f189,f1290]) ).
fof(f2090,plain,
( ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f189,f642]) ).
fof(f2091,plain,
( ~ sQ41_spl
| ~ sQ26_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f189,f776]) ).
fof(f2092,plain,
( ~ sQ37_spl
| ~ sQ26_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f189,f820]) ).
fof(f2093,plain,
( ~ sQ11_spl
| ~ sQ26_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f189,f552]) ).
fof(f2094,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f189,f641]) ).
fof(f2100,plain,
( ~ sQ91_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2089,f70]) ).
fof(f2101,plain,
( ~ sQ91_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2100]) ).
fof(f2103,plain,
( ~ sQ91_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f413,f1290]) ).
fof(f2104,plain,
( ~ sQ119_spl
| ~ sQ91_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f413,f1472]) ).
fof(f2105,plain,
( ~ sQ91_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f413,f1289]) ).
fof(f2111,plain,
( ~ sQ119_spl
| ~ sQ91_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2104,f1469]) ).
fof(f2112,plain,
( ~ sQ91_spl
| ~ sQ119_spl
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f2104,f1292]) ).
fof(f2113,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f2104,f93]) ).
fof(f2114,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2104,f91]) ).
fof(f2115,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ91_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f2104,f89]) ).
fof(f2116,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ91_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2104,f95]) ).
fof(f2119,plain,
( ~ sQ103_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f456,f1612]) ).
fof(f2120,plain,
( ~ sQ113_spl
| ~ sQ103_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f456,f1519]) ).
fof(f2121,plain,
( ~ sQ103_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f456,f1611]) ).
fof(f2122,plain,
( ~ sQ108_spl
| ~ sQ103_spl
| product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f456,f1583]) ).
fof(f2123,plain,
( ~ sQ98_spl
| ~ sQ103_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f456,f1221]) ).
fof(f2124,plain,
( ~ sQ83_spl
| ~ sQ103_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f456,f1377]) ).
fof(f2130,plain,
( ~ sQ113_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2120,f85]) ).
fof(f2131,plain,
( ~ sQ113_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f2130]) ).
fof(f2133,plain,
( ~ sQ65_spl
| ~ sQ75_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f357,f1171]) ).
fof(f2135,plain,
( ~ sQ41_spl
| ~ sQ75_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f357,f779]) ).
fof(f2142,plain,
( ~ sQ65_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2133,f68]) ).
fof(f2143,plain,
( ~ sQ65_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f2142]) ).
fof(f2144,plain,
( ~ sQ35_spl
| ~ sQ76_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1969,f272,f359,f220]) ).
fof(f2145,plain,
( ~ sQ119_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1922,f70]) ).
fof(f2146,plain,
( ~ sQ119_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2145]) ).
fof(f2147,plain,
( ~ sQ41_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1968,f79]) ).
fof(f2148,plain,
( ~ sQ41_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f2147]) ).
fof(f2149,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1784,f93]) ).
fof(f2150,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1784,f91]) ).
fof(f2151,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1784,f89]) ).
fof(f2152,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ78_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f1784,f95]) ).
fof(f2162,plain,
( ~ sQ72_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2028,f67]) ).
fof(f2163,plain,
( ~ sQ72_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f2162]) ).
fof(f2165,plain,
( ~ sQ119_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f507,f1470]) ).
fof(f2166,plain,
( ~ sQ94_spl
| ~ sQ119_spl
| product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f507,f1273]) ).
fof(f2167,plain,
( ~ sQ119_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f507,f1469]) ).
fof(f2173,plain,
( ~ sQ119_spl
| ~ sQ94_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2166,f1470]) ).
fof(f2174,plain,
( ~ sQ102_spl
| ~ sQ94_spl
| ~ sQ119_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f2166,f1633]) ).
fof(f2175,plain,
( ~ sQ94_spl
| ~ sQ119_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2166,f1270]) ).
fof(f2176,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2166,f93]) ).
fof(f2177,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f2166,f91]) ).
fof(f2178,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f2166,f89]) ).
fof(f2179,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ119_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2166,f95]) ).
fof(f2182,plain,
( ~ sQ119_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2111,f74]) ).
fof(f2183,plain,
( ~ sQ119_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f2182]) ).
fof(f2185,plain,
( ~ sQ52_spl
| ~ sQ27_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f192,f955]) ).
fof(f2187,plain,
( ~ sQ122_spl
| ~ sQ27_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f192,f1445]) ).
fof(f2188,plain,
( ~ sQ33_spl
| ~ sQ27_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f192,f855]) ).
fof(f2190,plain,
! [X0] :
( ~ sQ27_spl
| ~ greater(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f192,f61]) ).
fof(f2191,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f192,f93]) ).
fof(f2192,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f192,f91]) ).
fof(f2193,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f192,f89]) ).
fof(f2194,plain,
! [X0] :
( ~ sQ27_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f192,f95]) ).
fof(f2195,plain,
( ~ sQ52_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2185,f69]) ).
fof(f2196,plain,
( ~ sQ52_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2195]) ).
fof(f2197,plain,
( ~ sQ41_spl
| ~ sQ75_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f2135,f259,f356,f239]) ).
fof(f2198,plain,
( ~ sQ75_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2077,f86]) ).
fof(f2199,plain,
( ~ sQ75_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f2198]) ).
fof(f2200,plain,
( ~ sQ25_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1843,f83]) ).
fof(f2201,plain,
( ~ sQ25_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f2200]) ).
fof(f2202,plain,
( ~ sQ98_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2123,f85]) ).
fof(f2203,plain,
( ~ sQ98_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f2202]) ).
fof(f2204,plain,
( ~ sQ121_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1970,f82]) ).
fof(f2205,plain,
( ~ sQ121_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f2204]) ).
fof(f2206,plain,
( ~ sQ17_spl
| ~ sQ117_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1773,f431,f500,f159]) ).
fof(f2207,plain,
( ~ sQ7_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1771,f85]) ).
fof(f2208,plain,
( ~ sQ7_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f2207]) ).
fof(f2210,plain,
( ~ sQ119_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2173,f84]) ).
fof(f2211,plain,
( ~ sQ119_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f2210]) ).
fof(f2212,plain,
( ~ sQ90_spl
| ~ sQ74_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f1729,f462,f352,f409]) ).
fof(f2213,plain,
( ~ sQ83_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2124,f86]) ).
fof(f2214,plain,
( ~ sQ83_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f2213]) ).
fof(f2215,plain,
( ~ sQ80_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1846,f73]) ).
fof(f2216,plain,
( ~ sQ80_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f2215]) ).
fof(f2219,plain,
( ~ sQ66_spl
| ~ sQ107_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f469,f1165]) ).
fof(f2225,plain,
( ~ sQ66_spl
| ~ sQ107_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f2219,f428,f468,f327]) ).
fof(f2226,plain,
( ~ sQ107_spl
| ~ sQ108_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1582,f469]) ).
fof(f2227,plain,
( ~ sQ107_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2226,f77]) ).
fof(f2228,plain,
( ~ sQ107_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f2227]) ).
fof(f2229,plain,
( ~ sQ107_spl
| ~ sQ67_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f1147,f469]) ).
fof(f2230,plain,
( ~ sQ107_spl
| ~ sQ67_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f2229,f431,f330,f468]) ).
fof(f2231,plain,
( ~ sQ40_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2075,f83]) ).
fof(f2232,plain,
( ~ sQ40_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f2231]) ).
fof(f2234,plain,
( ~ sQ107_spl
| ~ sQ57_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f905,f469]) ).
fof(f2235,plain,
( ~ sQ107_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2234,f85]) ).
fof(f2236,plain,
( ~ sQ107_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f2235]) ).
fof(f2239,plain,
( ~ sQ49_spl
| ~ sQ78_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f366,f973]) ).
fof(f2246,plain,
( ~ sQ49_spl
| ~ sQ78_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f2239,f320,f365,f268]) ).
fof(f2247,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f128,f569]) ).
fof(f2250,plain,
( ~ sQ53_spl
| ~ sQ8_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f128,f941]) ).
fof(f2255,plain,
( ~ sQ53_spl
| ~ sQ8_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f2250,f333,f127,f281]) ).
fof(f2256,plain,
( ~ sQ8_spl
| ~ sQ50_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f969,f128]) ).
fof(f2260,plain,
( ~ sQ93_spl
| ~ sQ119_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f507,f1278]) ).
fof(f2265,plain,
( ~ sQ93_spl
| ~ sQ119_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2260,f455,f506,f418]) ).
fof(f2266,plain,
( ~ sQ8_spl
| ~ sQ50_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f2256,f324,f272,f127]) ).
fof(f2267,plain,
( ~ sQ8_spl
| ~ sQ52_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f957,f128]) ).
fof(f2268,plain,
( ~ sQ8_spl
| ~ sQ52_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2267,f330,f278,f127]) ).
fof(f2270,plain,
( ~ sQ95_spl
| ~ sQ10_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f135,f1242]) ).
fof(f2272,plain,
( ~ sQ40_spl
| ~ sQ10_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f135,f781]) ).
fof(f2273,plain,
( ~ sQ40_spl
| ~ sQ10_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f135,f784]) ).
fof(f2275,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(e_1,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f135,f61]) ).
fof(f2276,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f135,f93]) ).
fof(f2277,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f135,f91]) ).
fof(f2278,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f135,f89]) ).
fof(f2279,plain,
! [X0] :
( ~ sQ10_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f135,f95]) ).
fof(f2280,plain,
( ~ sQ95_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2270,f70]) ).
fof(f2281,plain,
( ~ sQ95_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2280]) ).
fof(f2282,plain,
( ~ sQ95_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f426,f1243]) ).
fof(f2284,plain,
( ~ sQ80_spl
| ~ sQ95_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f426,f1395]) ).
fof(f2286,plain,
( ~ sQ122_spl
| ~ sQ95_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f426,f1448]) ).
fof(f2291,plain,
( ~ sQ80_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2284,f77]) ).
fof(f2292,plain,
( ~ sQ80_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f2291]) ).
fof(f2293,plain,
( ~ sQ81_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1966,f70]) ).
fof(f2294,plain,
( ~ sQ81_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f2293]) ).
fof(f2295,plain,
( ~ sQ12_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2030,f81]) ).
fof(f2296,plain,
( ~ sQ12_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f2295]) ).
fof(f2297,plain,
( ~ sQ93_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f419,f1277]) ).
fof(f2298,plain,
( ~ sQ93_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f419,f1276]) ).
fof(f2299,plain,
( ~ sQ103_spl
| ~ sQ93_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f419,f1610]) ).
fof(f2305,plain,
( ~ sQ103_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2299,f74]) ).
fof(f2306,plain,
( ~ sQ103_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f2305]) ).
fof(f2314,plain,
( ~ sQ101_spl
| ~ sQ117_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1661,f415,f500,f449]) ).
fof(f2315,plain,
( ~ sQ122_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2187,f74]) ).
fof(f2316,plain,
( ~ sQ122_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2315]) ).
fof(f2319,plain,
( ~ sQ12_spl
| ~ sQ122_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f517,f543]) ).
fof(f2320,plain,
( ~ sQ32_spl
| ~ sQ122_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f517,f861]) ).
fof(f2327,plain,
( ~ sQ12_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2319,f85]) ).
fof(f2328,plain,
( ~ sQ12_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f2327]) ).
fof(f2329,plain,
( ~ sQ32_spl
| ~ sQ122_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f2320,f431,f516,f210]) ).
fof(f2330,plain,
( ~ sQ41_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2091,f71]) ).
fof(f2331,plain,
( ~ sQ41_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2330]) ).
fof(f2332,plain,
( ~ sQ13_spl
| ~ sQ30_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f1832,f245,f204,f143]) ).
fof(f2333,plain,
( ~ sQ30_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1807,f83]) ).
fof(f2334,plain,
( ~ sQ30_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f2333]) ).
fof(f2335,plain,
( ~ sQ21_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1900,f84]) ).
fof(f2336,plain,
( ~ sQ21_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f2335]) ).
fof(f2337,plain,
( ~ sQ50_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1842,f86]) ).
fof(f2338,plain,
( ~ sQ50_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f2337]) ).
fof(f2339,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f861,f517]) ).
fof(f2340,plain,
( ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f289,f916]) ).
fof(f2341,plain,
( ~ sQ0_spl
| ~ sQ55_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f289,f1702]) ).
fof(f2342,plain,
( ~ sQ5_spl
| ~ sQ55_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f289,f598]) ).
fof(f2343,plain,
( ~ sQ55_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f289,f915]) ).
fof(f2344,plain,
( ~ sQ105_spl
| ~ sQ55_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f289,f1598]) ).
fof(f2345,plain,
( ~ sQ50_spl
| ~ sQ55_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f289,f966]) ).
fof(f2346,plain,
( ~ sQ75_spl
| ~ sQ55_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f289,f1074]) ).
fof(f2347,plain,
( ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f289,f914]) ).
fof(f2352,plain,
( ~ sQ0_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2341,f81]) ).
fof(f2353,plain,
( ~ sQ0_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2352]) ).
fof(f2356,plain,
( ~ sQ40_spl
| ~ sQ75_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f357,f781]) ).
fof(f2357,plain,
( ~ sQ75_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f357,f1071]) ).
fof(f2358,plain,
( ~ sQ40_spl
| ~ sQ75_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f357,f784]) ).
fof(f2364,plain,
( ~ sQ40_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2356,f79]) ).
fof(f2365,plain,
( ~ sQ40_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f2364]) ).
fof(f2366,plain,
( ~ sQ11_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2093,f72]) ).
fof(f2367,plain,
( ~ sQ11_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2366]) ).
fof(f2368,plain,
( ~ sQ122_spl
| ~ sQ95_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f2286,f210,f425,f516]) ).
fof(f2369,plain,
( ~ sQ13_spl
| ~ sQ65_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f1939,f265,f324,f143]) ).
fof(f2370,plain,
( ~ sQ50_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2345,f76]) ).
fof(f2371,plain,
( ~ sQ50_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2370]) ).
fof(f2372,plain,
( ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f144,f538]) ).
fof(f2373,plain,
( ~ sQ58_spl
| ~ sQ13_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f144,f900]) ).
fof(f2374,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f144,f1653]) ).
fof(f2375,plain,
( ~ sQ13_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f144,f537]) ).
fof(f2376,plain,
( ~ sQ43_spl
| ~ sQ13_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f144,f762]) ).
fof(f2378,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f144,f990]) ).
fof(f2379,plain,
( ~ sQ45_spl
| ~ sQ13_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f144,f1016]) ).
fof(f2380,plain,
! [X0] :
( ~ sQ13_spl
| ~ greater(e_4,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f144,f61]) ).
fof(f2381,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f144,f93]) ).
fof(f2382,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f144,f91]) ).
fof(f2383,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f144,f89]) ).
fof(f2384,plain,
! [X0] :
( ~ sQ13_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f144,f95]) ).
fof(f2385,plain,
( ~ sQ58_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2373,f69]) ).
fof(f2386,plain,
( ~ sQ58_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2385]) ).
fof(f2387,plain,
( ~ sQ33_spl
| ~ sQ27_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f2188,f127,f191,f213]) ).
fof(f2388,plain,
( ~ sQ20_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f170,f686]) ).
fof(f2389,plain,
( ~ sQ20_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f170,f685]) ).
fof(f2390,plain,
( ~ sQ115_spl
| ~ sQ20_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f170,f1507]) ).
fof(f2391,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f170,f597]) ).
fof(f2392,plain,
( ~ sQ20_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f170,f684]) ).
fof(f2393,plain,
( ~ sQ27_spl
| ~ sQ20_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f170,f2194]) ).
fof(f2394,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f170,f93]) ).
fof(f2395,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f170,f91]) ).
fof(f2396,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f170,f89]) ).
fof(f2397,plain,
! [X0] :
( ~ sQ20_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f170,f95]) ).
fof(f2398,plain,
( ~ sQ115_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2390,f74]) ).
fof(f2399,plain,
( ~ sQ115_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f2398]) ).
fof(f2400,plain,
( ~ sQ111_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f482,f1543]) ).
fof(f2401,plain,
( ~ sQ111_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f482,f1542]) ).
fof(f2402,plain,
( ~ sQ31_spl
| ~ sQ111_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f482,f870]) ).
fof(f2403,plain,
( ~ sQ5_spl
| ~ sQ111_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f482,f600]) ).
fof(f2404,plain,
( ~ sQ111_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f482,f1541]) ).
fof(f2409,plain,
( ~ sQ31_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2402,f83]) ).
fof(f2410,plain,
( ~ sQ31_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f2409]) ).
fof(f2412,plain,
( ~ sQ100_spl
| ~ sQ120_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f511,f1643]) ).
fof(f2413,plain,
( ~ sQ120_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f511,f2081]) ).
fof(f2414,plain,
( ~ sQ120_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f511,f2080]) ).
fof(f2415,plain,
( ~ sQ43_spl
| ~ sQ120_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f511,f765]) ).
fof(f2421,plain,
( ~ sQ100_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2412,f70]) ).
fof(f2422,plain,
( ~ sQ100_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f2421]) ).
fof(f2423,plain,
( ~ sQ27_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f192,f2193]) ).
fof(f2424,plain,
( ~ sQ22_spl
| ~ sQ27_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f192,f669]) ).
fof(f2425,plain,
( ~ sQ17_spl
| ~ sQ27_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f192,f721]) ).
fof(f2426,plain,
( ~ sQ27_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f192,f2192]) ).
fof(f2427,plain,
( ~ sQ32_spl
| ~ sQ27_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f192,f861]) ).
fof(f2428,plain,
( ~ sQ12_spl
| ~ sQ27_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f192,f543]) ).
fof(f2429,plain,
( ~ sQ27_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f192,f2191]) ).
fof(f2435,plain,
( ~ sQ22_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2424,f67]) ).
fof(f2436,plain,
( ~ sQ22_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2435]) ).
fof(f2437,plain,
( ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f246,f764]) ).
fof(f2438,plain,
( ~ sQ38_spl
| ~ sQ43_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f246,f810]) ).
fof(f2440,plain,
( ~ sQ123_spl
| ~ sQ43_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f246,f1412]) ).
fof(f2441,plain,
( ~ sQ46_spl
| ~ sQ43_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f246,f1009]) ).
fof(f2442,plain,
( ~ sQ78_spl
| ~ sQ43_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f246,f1039]) ).
fof(f2449,plain,
( ~ sQ38_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2438,f67]) ).
fof(f2450,plain,
( ~ sQ38_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2449]) ).
fof(f2451,plain,
( ~ sQ123_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2440,f70]) ).
fof(f2452,plain,
( ~ sQ123_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2451]) ).
fof(f2453,plain,
( ~ sQ46_spl
| ~ sQ43_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f2441,f359,f245,f259]) ).
fof(f2454,plain,
( ~ sQ78_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2442,f69]) ).
fof(f2455,plain,
( ~ sQ78_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f2454]) ).
fof(f2456,plain,
( ~ sQ61_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1714,f73]) ).
fof(f2457,plain,
( ~ sQ61_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2456]) ).
fof(f2458,plain,
( ~ sQ40_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2272,f75]) ).
fof(f2459,plain,
( ~ sQ40_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f2458]) ).
fof(f2460,plain,
( ~ sQ100_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f447,f1644]) ).
fof(f2462,plain,
( ~ sQ100_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f447,f1642]) ).
fof(f2467,plain,
( ~ sQ100_spl
| ~ sQ123_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f1415,f447]) ).
fof(f2468,plain,
( ~ sQ100_spl
| ~ sQ123_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f2467,f402,f519,f446]) ).
fof(f2470,plain,
( ~ sQ63_spl
| ~ sQ83_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f387,f1189]) ).
fof(f2472,plain,
( ~ sQ105_spl
| ~ sQ83_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f387,f1601]) ).
fof(f2478,plain,
( ~ sQ63_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2470,f86]) ).
fof(f2479,plain,
( ~ sQ63_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f2478]) ).
fof(f2480,plain,
( ~ sQ105_spl
| ~ sQ83_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2472,f1598]) ).
fof(f2481,plain,
( ~ sQ76_spl
| ~ sQ105_spl
| ~ sQ83_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f2472,f1065]) ).
fof(f2482,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2472,f93]) ).
fof(f2483,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f2472,f91]) ).
fof(f2484,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ83_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f2472,f89]) ).
fof(f2485,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ83_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f2472,f95]) ).
fof(f2486,plain,
( ~ sQ105_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2480,f82]) ).
fof(f2487,plain,
( ~ sQ105_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f2486]) ).
fof(f2490,plain,
( ~ sQ92_spl
| ~ sQ39_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f233,f1286]) ).
fof(f2496,plain,
( ~ sQ92_spl
| ~ sQ39_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f2490,f516,f232,f415]) ).
fof(f2497,plain,
( ~ sQ83_spl
| ~ sQ108_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f1583,f387]) ).
fof(f2498,plain,
( ~ sQ83_spl
| ~ sQ108_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f2497,f317,f471,f386]) ).
fof(f2499,plain,
( ~ sQ5_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2391,f72]) ).
fof(f2500,plain,
( ~ sQ5_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f2499]) ).
fof(f2501,plain,
( ~ sQ100_spl
| ~ sQ121_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f1663,f396,f513,f446]) ).
fof(f2502,plain,
( ~ sQ74_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1923,f69]) ).
fof(f2503,plain,
( ~ sQ74_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f2502]) ).
fof(f2504,plain,
( ~ sQ88_spl
| ~ sQ124_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f1399,f455,f522,f402]) ).
fof(f2505,plain,
( ~ sQ112_spl
| ~ sQ97_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f2054,f108,f431,f484]) ).
fof(f2508,plain,
( ~ sQ97_spl
| ~ sQ92_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f416,f1227]) ).
fof(f2510,plain,
( ~ sQ111_spl
| ~ sQ92_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f416,f1544]) ).
fof(f2515,plain,
( ~ sQ97_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2508,f72]) ).
fof(f2516,plain,
( ~ sQ97_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f2515]) ).
fof(f2517,plain,
( ~ sQ30_spl
| ~ sQ77_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f2032,f288,f362,f204]) ).
fof(f2519,plain,
( ~ sQ113_spl
| ~ sQ118_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f504,f1519]) ).
fof(f2521,plain,
( ~ sQ52_spl
| ~ sQ118_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f504,f957]) ).
fof(f2522,plain,
( ~ sQ23_spl
| ~ sQ118_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f504,f664]) ).
fof(f2524,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f504,f93]) ).
fof(f2525,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f504,f91]) ).
fof(f2526,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f504,f89]) ).
fof(f2527,plain,
! [X0] :
( ~ sQ118_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f504,f95]) ).
fof(f2528,plain,
( ~ sQ113_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2519,f72]) ).
fof(f2529,plain,
( ~ sQ113_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f2528]) ).
fof(f2530,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f1924,f522,f232,f421]) ).
fof(f2531,plain,
( ~ sQ46_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1741,f83]) ).
fof(f2532,plain,
( ~ sQ46_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f2531]) ).
fof(f2534,plain,
( ~ sQ71_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f344,f1119]) ).
fof(f2535,plain,
( ~ sQ21_spl
| ~ sQ71_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f344,f674]) ).
fof(f2536,plain,
( ~ sQ21_spl
| ~ sQ71_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f344,f677]) ).
fof(f2537,plain,
( ~ sQ71_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f344,f1118]) ).
fof(f2542,plain,
( ~ sQ21_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2535,f80]) ).
fof(f2543,plain,
( ~ sQ21_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f2542]) ).
fof(f2544,plain,
( ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f298,f901]) ).
fof(f2545,plain,
( ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f298,f900]) ).
fof(f2546,plain,
( ~ sQ58_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f298,f899]) ).
fof(f2551,plain,
( ~ sQ58_spl
| ~ sQ64_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f1183,f298]) ).
fof(f2552,plain,
( ~ sQ65_spl
| ~ sQ58_spl
| ~ sQ64_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2551,f1172]) ).
fof(f2553,plain,
( ~ sQ99_spl
| ~ sQ58_spl
| ~ sQ64_spl
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f2551,f1219]) ).
fof(f2554,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2551,f93]) ).
fof(f2555,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ64_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2551,f91]) ).
fof(f2556,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ64_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2551,f89]) ).
fof(f2557,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ64_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2551,f95]) ).
fof(f2558,plain,
( ~ sQ65_spl
| ~ sQ58_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2552,f83]) ).
fof(f2559,plain,
( ~ sQ65_spl
| ~ sQ58_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f2558]) ).
fof(f2560,plain,
( ~ sQ58_spl
| ~ sQ60_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1215,f298]) ).
fof(f2563,plain,
( ~ sQ77_spl
| ~ sQ122_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f517,f2034]) ).
fof(f2564,plain,
( ~ sQ33_spl
| ~ sQ122_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f517,f855]) ).
fof(f2571,plain,
( ~ sQ77_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2563,f86]) ).
fof(f2572,plain,
( ~ sQ77_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f2571]) ).
fof(f2573,plain,
( ~ sQ122_spl
| ~ sQ34_spl
| product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f849,f517]) ).
fof(f2574,plain,
( ~ sQ122_spl
| ~ sQ34_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f2573,f437,f216,f516]) ).
fof(f2579,plain,
( ~ sQ64_spl
| ~ sQ108_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1856,f1579]) ).
fof(f2582,plain,
( ~ sQ122_spl
| ~ sQ30_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f881,f517]) ).
fof(f2583,plain,
( ~ sQ122_spl
| ~ sQ30_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2582,f425,f204,f516]) ).
fof(f2584,plain,
( ~ sQ33_spl
| ~ sQ122_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f2564,f434,f516,f213]) ).
fof(f2585,plain,
( ~ sQ122_spl
| ~ sQ33_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f855,f517]) ).
fof(f2586,plain,
( ~ sQ122_spl
| ~ sQ42_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f769,f517]) ).
fof(f2587,plain,
( ~ sQ122_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2586,f83]) ).
fof(f2588,plain,
( ~ sQ122_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f2587]) ).
fof(f2589,plain,
( ~ sQ17_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2425,f68]) ).
fof(f2590,plain,
( ~ sQ17_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2589]) ).
fof(f2591,plain,
( ~ sQ32_spl
| ~ sQ27_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f2427,f124,f191,f210]) ).
fof(f2593,plain,
( ~ sQ8_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f128,f568]) ).
fof(f2594,plain,
( ~ sQ23_spl
| ~ sQ8_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f128,f664]) ).
fof(f2595,plain,
( ~ sQ53_spl
| ~ sQ8_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f128,f941]) ).
fof(f2601,plain,
( ~ sQ23_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2594,f76]) ).
fof(f2602,plain,
( ~ sQ23_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f2601]) ).
fof(f2603,plain,
( ~ sQ123_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f520,f1414]) ).
fof(f2605,plain,
( ~ sQ78_spl
| ~ sQ123_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f520,f1039]) ).
fof(f2606,plain,
( ~ sQ48_spl
| ~ sQ123_spl
| product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f520,f990]) ).
fof(f2613,plain,
( ~ sQ78_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2605,f86]) ).
fof(f2614,plain,
( ~ sQ78_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f2613]) ).
fof(f2615,plain,
( ~ sQ123_spl
| ~ sQ46_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1009,f520]) ).
fof(f2616,plain,
( ~ sQ123_spl
| ~ sQ46_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f2615,f380,f259,f519]) ).
fof(f2618,plain,
( ~ sQ37_spl
| ~ sQ32_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f211,f818]) ).
fof(f2620,plain,
( ~ sQ3_spl
| ~ sQ32_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f211,f1655]) ).
fof(f2621,plain,
( ~ sQ67_spl
| ~ sQ32_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f211,f1144]) ).
fof(f2622,plain,
( ~ sQ32_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f211,f858]) ).
fof(f2623,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f211,f93]) ).
fof(f2624,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f211,f91]) ).
fof(f2625,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f211,f89]) ).
fof(f2626,plain,
! [X0] :
( ~ sQ32_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f211,f95]) ).
fof(f2627,plain,
( ~ sQ37_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2618,f76]) ).
fof(f2628,plain,
( ~ sQ37_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2627]) ).
fof(f2629,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f998,f520]) ).
fof(f2633,plain,
( ~ sQ123_spl
| ~ sQ90_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f410,f1415]) ).
fof(f2638,plain,
( ~ sQ119_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f507,f1471]) ).
fof(f2639,plain,
( ~ sQ119_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f507,f1470]) ).
fof(f2640,plain,
( ~ sQ119_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f507,f1469]) ).
fof(f2641,plain,
( ~ sQ90_spl
| ~ sQ119_spl
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f507,f1852]) ).
fof(f2646,plain,
( ~ sQ90_spl
| ~ sQ119_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f2641,f446,f506,f409]) ).
fof(f2647,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f973,f520]) ).
fof(f2649,plain,
( ~ sQ5_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f119,f598]) ).
fof(f2650,plain,
( ~ sQ115_spl
| ~ sQ5_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f119,f1507]) ).
fof(f2651,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f119,f614]) ).
fof(f2652,plain,
( ~ sQ5_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f119,f597]) ).
fof(f2657,plain,
( ~ sQ115_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2650,f78]) ).
fof(f2658,plain,
( ~ sQ115_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f2657]) ).
fof(f2659,plain,
( ~ sQ43_spl
| ~ sQ120_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f2415,f402,f510,f245]) ).
fof(f2660,plain,
( ~ sQ3_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2374,f68]) ).
fof(f2661,plain,
( ~ sQ3_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2660]) ).
fof(f2662,plain,
( ~ sQ23_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2522,f84]) ).
fof(f2663,plain,
( ~ sQ23_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f2662]) ).
fof(f2664,plain,
( ~ sQ106_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1715,f74]) ).
fof(f2665,plain,
( ~ sQ106_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2664]) ).
fof(f2666,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f112,f1654]) ).
fof(f2667,plain,
( ~ sQ98_spl
| ~ sQ3_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f112,f1222]) ).
fof(f2668,plain,
( ~ sQ3_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f112,f1653]) ).
fof(f2669,plain,
( ~ sQ33_spl
| ~ sQ3_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f112,f852]) ).
fof(f2670,plain,
( ~ sQ57_spl
| ~ sQ3_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f112,f908]) ).
fof(f2676,plain,
( ~ sQ98_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2667,f78]) ).
fof(f2677,plain,
( ~ sQ98_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f2676]) ).
fof(f2678,plain,
( ~ sQ86_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f397,f1345]) ).
fof(f2679,plain,
( ~ sQ41_spl
| ~ sQ86_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f397,f777]) ).
fof(f2681,plain,
( ~ sQ101_spl
| ~ sQ86_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f397,f1635]) ).
fof(f2682,plain,
( ~ sQ117_spl
| ~ sQ86_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f397,f1497]) ).
fof(f2683,plain,
( ~ sQ86_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f397,f1343]) ).
fof(f2688,plain,
( ~ sQ41_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2679,f83]) ).
fof(f2689,plain,
( ~ sQ41_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f2688]) ).
fof(f2690,plain,
( ~ sQ75_spl
| ~ sQ55_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f2346,f204,f288,f356]) ).
fof(f2691,plain,
( ~ sQ67_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2621,f69]) ).
fof(f2692,plain,
( ~ sQ67_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f2691]) ).
fof(f2693,plain,
( ~ sQ101_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2681,f70]) ).
fof(f2694,plain,
( ~ sQ101_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f2693]) ).
fof(f2695,plain,
( ~ sQ105_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2344,f78]) ).
fof(f2696,plain,
( ~ sQ105_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2695]) ).
fof(f2698,plain,
( ~ sQ53_spl
| ~ sQ23_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f179,f939]) ).
fof(f2700,plain,
( ~ sQ38_spl
| ~ sQ23_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f179,f809]) ).
fof(f2701,plain,
( ~ sQ53_spl
| ~ sQ23_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f179,f941]) ).
fof(f2702,plain,
( ~ sQ23_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f179,f664]) ).
fof(f2703,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f179,f93]) ).
fof(f2704,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f179,f91]) ).
fof(f2705,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f179,f89]) ).
fof(f2706,plain,
! [X0] :
( ~ sQ23_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f179,f95]) ).
fof(f2707,plain,
( ~ sQ53_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2698,f73]) ).
fof(f2708,plain,
( ~ sQ53_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2707]) ).
fof(f2709,plain,
( ~ sQ6_spl
| ~ sQ66_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1161,f275,f327,f121]) ).
fof(f2710,plain,
( ~ sQ11_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f138,f554]) ).
fof(f2711,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f138,f576]) ).
fof(f2712,plain,
( ~ sQ11_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f138,f553]) ).
fof(f2713,plain,
( ~ sQ38_spl
| ~ sQ11_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f138,f812]) ).
fof(f2714,plain,
( ~ sQ11_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f138,f552]) ).
fof(f2720,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2711,f67]) ).
fof(f2721,plain,
( ~ sQ6_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f2720]) ).
fof(f2722,plain,
( ~ sQ43_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2376,f75]) ).
fof(f2723,plain,
( ~ sQ43_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2722]) ).
fof(f2724,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f2651,f216,f118,f197]) ).
fof(f2725,plain,
( ~ sQ5_spl
| ~ sQ111_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f2403,f409,f481,f118]) ).
fof(f2726,plain,
( ~ sQ111_spl
| ~ sQ92_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f2510,f121,f415,f481]) ).
fof(f2727,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2629,f93]) ).
fof(f2728,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f2629,f91]) ).
fof(f2729,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2629,f89]) ).
fof(f2730,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f2629,f95]) ).
fof(f2731,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ112_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1532,f2629]) ).
fof(f2733,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2731,f93]) ).
fof(f2734,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ112_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f2731,f91]) ).
fof(f2735,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2731,f89]) ).
fof(f2736,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ112_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2731,f95]) ).
fof(f2743,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ77_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2035,f2629]) ).
fof(f2744,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2743,f83]) ).
fof(f2745,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f2744]) ).
fof(f2746,plain,
( ~ sQ77_spl
| ~ sQ52_spl
| ~ sQ118_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2521,f2035]) ).
fof(f2747,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2521,f93]) ).
fof(f2748,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ118_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f2521,f91]) ).
fof(f2749,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ118_spl
| equalish(X0,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2521,f89]) ).
fof(f2750,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ118_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f2521,f95]) ).
fof(f2751,plain,
( ~ sQ77_spl
| ~ sQ52_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2746,f83]) ).
fof(f2752,plain,
( ~ sQ77_spl
| ~ sQ52_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f2751]) ).
fof(f2753,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f240,f778]) ).
fof(f2755,plain,
( ~ sQ11_spl
| ~ sQ41_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f240,f552]) ).
fof(f2757,plain,
( ~ sQ39_spl
| ~ sQ41_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f240,f1929]) ).
fof(f2763,plain,
( ~ sQ11_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2755,f68]) ).
fof(f2764,plain,
( ~ sQ11_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f2763]) ).
fof(f2765,plain,
( ~ sQ85_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f394,f1349]) ).
fof(f2766,plain,
( ~ sQ45_spl
| ~ sQ85_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f394,f1014]) ).
fof(f2767,plain,
( ~ sQ40_spl
| ~ sQ85_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f394,f782]) ).
fof(f2768,plain,
( ~ sQ85_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f394,f1348]) ).
fof(f2769,plain,
( ~ sQ124_spl
| ~ sQ85_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f394,f1406]) ).
fof(f2770,plain,
( ~ sQ85_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f394,f1347]) ).
fof(f2775,plain,
( ~ sQ45_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2766,f86]) ).
fof(f2776,plain,
( ~ sQ45_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f2775]) ).
fof(f2777,plain,
( ~ sQ40_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2767,f83]) ).
fof(f2778,plain,
( ~ sQ40_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f2777]) ).
fof(f2779,plain,
( ~ sQ38_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2700,f71]) ).
fof(f2780,plain,
( ~ sQ38_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2779]) ).
fof(f2785,plain,
( ~ sQ64_spl
| ~ sQ108_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1856,f1579]) ).
fof(f2787,plain,
( ~ sQ64_spl
| ~ sQ108_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1858,f1579]) ).
fof(f2794,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ65_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f1173,f1784]) ).
fof(f2807,plain,
( ~ sQ64_spl
| ~ sQ108_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1856,f1579]) ).
fof(f2812,plain,
( ~ sQ64_spl
| ~ sQ108_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1181,f1579]) ).
fof(f2813,plain,
( ~ sQ64_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2812,f86]) ).
fof(f2814,plain,
( ~ sQ64_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f2813]) ).
fof(f2818,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f138,f1929]) ).
fof(f2824,plain,
( ~ sQ39_spl
| ~ sQ11_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f2818,f165,f137,f232]) ).
fof(f2825,plain,
( ~ sQ38_spl
| ~ sQ11_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f2713,f162,f137,f229]) ).
fof(f2826,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f812,f138]) ).
fof(f2828,plain,
( ~ sQ87_spl
| ~ sQ42_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f243,f1337]) ).
fof(f2830,plain,
( ~ sQ31_spl
| ~ sQ42_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f243,f873]) ).
fof(f2831,plain,
( ~ sQ42_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f243,f769]) ).
fof(f2837,plain,
( ~ sQ87_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2828,f70]) ).
fof(f2838,plain,
( ~ sQ87_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f2837]) ).
fof(f2839,plain,
( ~ sQ94_spl
| ~ sQ123_spl
| ~ sQ49_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2647,f1270]) ).
fof(f2840,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2647,f93]) ).
fof(f2841,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2647,f91]) ).
fof(f2842,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2647,f89]) ).
fof(f2843,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ49_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f2647,f95]) ).
fof(f2844,plain,
( ~ sQ94_spl
| ~ sQ123_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2839,f80]) ).
fof(f2845,plain,
( ~ sQ94_spl
| ~ sQ123_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f2844]) ).
fof(f2846,plain,
( ~ sQ2_spl
| ~ sQ112_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f2064,f431,f484,f108]) ).
fof(f2847,plain,
( ~ sQ58_spl
| ~ sQ60_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f2560,f324,f308,f297]) ).
fof(f2848,plain,
( ~ sQ58_spl
| ~ sQ64_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f2551,f336,f320,f297]) ).
fof(f2849,plain,
( ~ sQ99_spl
| ~ sQ58_spl
| ~ sQ64_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f2553,f474,f320,f297,f437]) ).
fof(f2857,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ111_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1544,f2629]) ).
fof(f2858,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ111_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f2857,f291,f481,f262,f519]) ).
fof(f2861,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ114_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f1516,f2629]) ).
fof(f2862,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ114_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f2861,f300,f490,f262,f519]) ).
fof(f2863,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ92_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1283,f2629]) ).
fof(f2864,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2863,f80]) ).
fof(f2865,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f2864]) ).
fof(f2866,plain,
( ~ sQ24_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1727,f80]) ).
fof(f2867,plain,
( ~ sQ24_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f2866]) ).
fof(f2868,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ113_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f1521,f2629]) ).
fof(f2872,plain,
( ~ sQ38_spl
| ~ sQ41_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f240,f812]) ).
fof(f2878,plain,
( ~ sQ88_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f403,f1331]) ).
fof(f2879,plain,
( ~ sQ38_spl
| ~ sQ88_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f403,f810]) ).
fof(f2880,plain,
( ~ sQ88_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f403,f1330]) ).
fof(f2881,plain,
( ~ sQ88_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f403,f1329]) ).
fof(f2882,plain,
( ~ sQ105_spl
| ~ sQ88_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f403,f1601]) ).
fof(f2887,plain,
( ~ sQ38_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2879,f84]) ).
fof(f2888,plain,
( ~ sQ38_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f2887]) ).
fof(f2890,plain,
( ~ sQ10_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f135,f2277]) ).
fof(f2892,plain,
( ~ sQ41_spl
| ~ sQ10_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f135,f779]) ).
fof(f2898,plain,
( ~ sQ41_spl
| ~ sQ10_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f2892,f207,f134,f239]) ).
fof(f2916,plain,
( ~ sQ105_spl
| ~ sQ88_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f2882,f356,f402,f462]) ).
fof(f2917,plain,
( ~ sQ88_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1760,f75]) ).
fof(f2918,plain,
( ~ sQ88_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f2917]) ).
fof(f2919,plain,
( ~ sQ10_spl
| ~ sQ44_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f760,f135]) ).
fof(f2920,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ114_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f1516,f2629]) ).
fof(f2921,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ72_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1094,f2629]) ).
fof(f2922,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2921,f84]) ).
fof(f2923,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f2922]) ).
fof(f2924,plain,
( ~ sQ52_spl
| ~ sQ118_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f2521,f383,f503,f278]) ).
fof(f2925,plain,
( ~ sQ10_spl
| ~ sQ44_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f2919,f216,f248,f134]) ).
fof(f2926,plain,
( ~ sQ37_spl
| ~ sQ26_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2092,f175,f188,f226]) ).
fof(f2929,plain,
( ~ sQ88_spl
| ~ sQ44_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f249,f1332]) ).
fof(f2936,plain,
( ~ sQ88_spl
| ~ sQ44_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2929,f519,f248,f402]) ).
fof(f2937,plain,
( ~ sQ44_spl
| ~ sQ89_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f1325,f249]) ).
fof(f2938,plain,
( ~ sQ44_spl
| ~ sQ89_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f2937,f522,f405,f248]) ).
fof(f2939,plain,
( ~ sQ44_spl
| ~ sQ87_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1339,f249]) ).
fof(f2940,plain,
( ~ sQ44_spl
| ~ sQ87_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f2939,f516,f399,f248]) ).
fof(f2942,plain,
( ~ sQ64_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f321,f1181]) ).
fof(f2948,plain,
( ~ sQ106_spl
| ~ sQ48_spl
| ~ sQ123_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f2606,f1748]) ).
fof(f2949,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2606,f93]) ).
fof(f2950,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ123_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f2606,f91]) ).
fof(f2951,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2606,f89]) ).
fof(f2952,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ123_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f2606,f95]) ).
fof(f2953,plain,
( ~ sQ106_spl
| ~ sQ48_spl
| ~ sQ123_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f2948,f311,f519,f265,f465]) ).
fof(f2954,plain,
( ~ sQ102_spl
| ~ sQ123_spl
| ~ sQ47_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2629,f1630]) ).
fof(f2959,plain,
( ~ sQ102_spl
| ~ sQ123_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2954,f82]) ).
fof(f2960,plain,
( ~ sQ102_spl
| ~ sQ123_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2959]) ).
fof(f2964,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ110_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f1550,f2629]) ).
fof(f2965,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ110_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f2964,f288,f478,f262,f519]) ).
fof(f2968,plain,
( ~ sQ83_spl
| ~ sQ98_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f435,f1377]) ).
fof(f2969,plain,
( ~ sQ98_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f435,f1221]) ).
fof(f2970,plain,
( ~ sQ107_spl
| ~ sQ98_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f435,f1588]) ).
fof(f2975,plain,
( ~ sQ83_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2968,f77]) ).
fof(f2976,plain,
( ~ sQ83_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f2975]) ).
fof(f2977,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2826,f93]) ).
fof(f2978,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2826,f91]) ).
fof(f2979,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f2826,f89]) ).
fof(f2980,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ38_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2826,f95]) ).
fof(f2981,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ58_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f902,f2826]) ).
fof(f2982,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ58_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f2981,f349,f297,f229,f137]) ).
fof(f2983,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ56_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f912,f2826]) ).
fof(f2984,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f713,f2826]) ).
fof(f2988,plain,
( ~ sQ118_spl
| ~ sQ123_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f520,f2525]) ).
fof(f2989,plain,
( ~ sQ123_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f520,f1413]) ).
fof(f2997,plain,
( ~ sQ118_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2988,f67]) ).
fof(f2998,plain,
( ~ sQ118_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f2997]) ).
fof(f2999,plain,
( ~ sQ110_spl
| ~ sQ122_spl
| ~ sQ32_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f2339,f1550]) ).
fof(f3000,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f2339,f93]) ).
fof(f3001,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ32_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f2339,f91]) ).
fof(f3002,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2339,f89]) ).
fof(f3003,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ32_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2339,f95]) ).
fof(f3004,plain,
( ~ sQ110_spl
| ~ sQ122_spl
| ~ sQ32_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2999,f102,f210,f516,f478]) ).
fof(f3006,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f186,f652]) ).
fof(f3007,plain,
( ~ sQ43_spl
| ~ sQ25_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f186,f765]) ).
fof(f3014,plain,
( ~ sQ43_spl
| ~ sQ25_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f3007,f229,f185,f245]) ).
fof(f3017,plain,
( ~ sQ34_spl
| ~ sQ122_spl
| product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f517,f849]) ).
fof(f3024,plain,
( ~ sQ79_spl
| ~ sQ76_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f360,f1031]) ).
fof(f3026,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f360,f1063]) ).
fof(f3027,plain,
( ~ sQ37_spl
| ~ sQ76_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f360,f820]) ).
fof(f3034,plain,
( ~ sQ79_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3024,f74]) ).
fof(f3035,plain,
( ~ sQ79_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f3034]) ).
fof(f3038,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ41_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f2872,f61]) ).
fof(f3039,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f2872,f93]) ).
fof(f3040,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ41_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f2872,f91]) ).
fof(f3041,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ41_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2872,f89]) ).
fof(f3042,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ41_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2872,f95]) ).
fof(f3044,plain,
( ~ sQ85_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f394,f1349]) ).
fof(f3045,plain,
( ~ sQ85_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f394,f1348]) ).
fof(f3046,plain,
( ~ sQ121_spl
| ~ sQ85_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f394,f1457]) ).
fof(f3047,plain,
( ~ sQ85_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f394,f1347]) ).
fof(f3052,plain,
( ~ sQ85_spl
| ~ sQ30_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f879,f394]) ).
fof(f3053,plain,
( ~ sQ85_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3052,f85]) ).
fof(f3054,plain,
( ~ sQ85_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f3053]) ).
fof(f3055,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f2378,f333,f143,f265]) ).
fof(f3065,plain,
( ~ sQ38_spl
| ~ sQ41_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f3038,f57]) ).
fof(f3066,plain,
( ~ sQ38_spl
| ~ sQ41_spl
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f3038,f55]) ).
fof(f3067,plain,
( ~ sQ38_spl
| ~ sQ41_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f3038,f52]) ).
fof(f3068,plain,
( ~ sQ38_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3065,f47]) ).
fof(f3069,plain,
( ~ sQ38_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f3068]) ).
fof(f3071,plain,
( ~ sQ77_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f363,f2035]) ).
fof(f3072,plain,
( ~ sQ77_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f363,f2034]) ).
fof(f3073,plain,
( ~ sQ31_spl
| ~ sQ77_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f363,f873]) ).
fof(f3079,plain,
( ~ sQ31_spl
| ~ sQ77_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f3073,f291,f362,f207]) ).
fof(f3080,plain,
( ~ sQ124_spl
| ~ sQ85_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f2769,f248,f393,f522]) ).
fof(f3081,plain,
( ~ sQ77_spl
| ~ sQ33_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f855,f363]) ).
fof(f3082,plain,
( ~ sQ10_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f135,f2278]) ).
fof(f3083,plain,
( ~ sQ10_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f135,f2277]) ).
fof(f3084,plain,
( ~ sQ10_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f135,f2276]) ).
fof(f3085,plain,
( ~ sQ43_spl
| ~ sQ10_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f135,f765]) ).
fof(f3091,plain,
( ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f246,f764]) ).
fof(f3092,plain,
( ~ sQ33_spl
| ~ sQ43_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f246,f853]) ).
fof(f3094,plain,
( ~ sQ45_spl
| ~ sQ43_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f246,f1016]) ).
fof(f3101,plain,
( ~ sQ33_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3092,f68]) ).
fof(f3102,plain,
( ~ sQ33_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f3101]) ).
fof(f3103,plain,
( ~ sQ123_spl
| ~ sQ90_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f2633,f229,f409,f519]) ).
fof(f3105,plain,
( ~ sQ39_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f233,f1927]) ).
fof(f3106,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f233,f1273]) ).
fof(f3112,plain,
( ~ sQ107_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f469,f1587]) ).
fof(f3113,plain,
( ~ sQ107_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f469,f1586]) ).
fof(f3114,plain,
( ~ sQ52_spl
| ~ sQ107_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f469,f954]) ).
fof(f3115,plain,
( ~ sQ65_spl
| ~ sQ107_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f469,f1173]) ).
fof(f3116,plain,
( ~ sQ107_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f469,f1585]) ).
fof(f3121,plain,
( ~ sQ52_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3114,f84]) ).
fof(f3122,plain,
( ~ sQ52_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3121]) ).
fof(f3123,plain,
( ~ sQ37_spl
| ~ sQ76_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f3027,f278,f359,f226]) ).
fof(f3124,plain,
( ~ sQ107_spl
| ~ sQ48_spl
| ~ sQ123_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f2606,f1588]) ).
fof(f3129,plain,
( ~ sQ65_spl
| ~ sQ107_spl
| ~ sQ48_spl
| ~ sQ123_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f3124,f1173]) ).
fof(f3130,plain,
( ~ sQ107_spl
| ~ sQ48_spl
| ~ sQ123_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f3124,f1585]) ).
fof(f3131,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ48_spl
| ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f3124,f93]) ).
fof(f3132,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ48_spl
| ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f3124,f91]) ).
fof(f3133,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ48_spl
| ~ sQ123_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f3124,f89]) ).
fof(f3134,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ48_spl
| ~ sQ123_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f3124,f95]) ).
fof(f3135,plain,
( ~ sQ107_spl
| ~ sQ48_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3130,f82]) ).
fof(f3136,plain,
( ~ sQ107_spl
| ~ sQ48_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f3135]) ).
fof(f3140,plain,
( ~ sQ39_spl
| ~ sQ91_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f1292,f233]) ).
fof(f3141,plain,
( ~ sQ39_spl
| ~ sQ91_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f3140,f513,f412,f232]) ).
fof(f3142,plain,
( ~ sQ27_spl
| ~ sQ20_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f2393,f226,f169,f191]) ).
fof(f3143,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ107_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f3115,f93]) ).
fof(f3144,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ107_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f3115,f91]) ).
fof(f3145,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ107_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f3115,f89]) ).
fof(f3146,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ107_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3115,f95]) ).
fof(f3147,plain,
( ~ sQ65_spl
| ~ sQ107_spl
| ~ sQ121_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1457,f3115]) ).
fof(f3148,plain,
( ~ sQ87_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f400,f1338]) ).
fof(f3149,plain,
( ~ sQ87_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f400,f1337]) ).
fof(f3150,plain,
( ~ sQ110_spl
| ~ sQ87_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f400,f1550]) ).
fof(f3151,plain,
( ~ sQ87_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f400,f1336]) ).
fof(f3156,plain,
( ~ sQ110_spl
| ~ sQ87_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f3150,f134,f399,f478]) ).
fof(f3167,plain,
( ~ sQ73_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f350,f1083]) ).
fof(f3168,plain,
( ~ sQ73_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f350,f1082]) ).
fof(f3169,plain,
( ~ sQ50_spl
| ~ sQ73_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f350,f969]) ).
fof(f3174,plain,
( ~ sQ50_spl
| ~ sQ73_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f3169,f308,f349,f272]) ).
fof(f3175,plain,
( ~ sQ121_spl
| ~ sQ65_spl
| ~ sQ107_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f3115,f1457]) ).
fof(f3180,plain,
( ~ sQ65_spl
| ~ sQ107_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3145,f3115]) ).
fof(f3181,plain,
( ~ sQ65_spl
| ~ sQ107_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f3144,f3115]) ).
fof(f3183,plain,
( ~ sQ77_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f363,f2036]) ).
fof(f3184,plain,
( ~ sQ82_spl
| ~ sQ77_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f363,f1384]) ).
fof(f3186,plain,
( ~ sQ27_spl
| ~ sQ77_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f363,f2191]) ).
fof(f3188,plain,
( ~ sQ31_spl
| ~ sQ77_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f363,f873]) ).
fof(f3194,plain,
( ~ sQ82_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3184,f70]) ).
fof(f3195,plain,
( ~ sQ82_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f3194]) ).
fof(f3196,plain,
( ~ sQ40_spl
| ~ sQ25_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f651,f237]) ).
fof(f3197,plain,
( ~ sQ40_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3196,f67]) ).
fof(f3198,plain,
( ~ sQ40_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f3197]) ).
fof(f3199,plain,
( ~ sQ121_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f514,f1456]) ).
fof(f3200,plain,
( ~ sQ121_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f514,f1455]) ).
fof(f3208,plain,
( ~ sQ121_spl
| ~ sQ106_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1746,f514]) ).
fof(f3209,plain,
( ~ sQ121_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3208,f69]) ).
fof(f3210,plain,
( ~ sQ121_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f3209]) ).
fof(f3211,plain,
( ~ sQ5_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2342,f80]) ).
fof(f3212,plain,
( ~ sQ5_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f3211]) ).
fof(f3219,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2151,f1784]) ).
fof(f3222,plain,
( ~ sQ47_spl
| ~ sQ78_spl
| ~ sQ65_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f1173,f1784]) ).
fof(f3223,plain,
( ~ sQ121_spl
| ~ sQ101_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1636,f514]) ).
fof(f3224,plain,
( ~ sQ121_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3223,f70]) ).
fof(f3225,plain,
( ~ sQ121_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f3224]) ).
fof(f3226,plain,
( ~ sQ110_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f479,f1549]) ).
fof(f3228,plain,
( ~ sQ12_spl
| ~ sQ110_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f479,f546]) ).
fof(f3234,plain,
( ~ sQ12_spl
| ~ sQ110_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f3228,f399,f478,f140]) ).
fof(f3236,plain,
( ~ sQ68_spl
| ~ sQ78_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f366,f1140]) ).
fof(f3237,plain,
( ~ sQ63_spl
| ~ sQ78_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f366,f1189]) ).
fof(f3239,plain,
( ~ sQ46_spl
| ~ sQ78_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f366,f1009]) ).
fof(f3246,plain,
( ~ sQ68_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3236,f68]) ).
fof(f3247,plain,
( ~ sQ68_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f3246]) ).
fof(f3250,plain,
( ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f141,f543]) ).
fof(f3256,plain,
( ~ sQ12_spl
| ~ sQ32_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f2626,f141]) ).
fof(f3257,plain,
( ~ sQ12_spl
| ~ sQ32_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f3256,f108,f210,f140]) ).
fof(f3258,plain,
( ~ sQ33_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2669,f75]) ).
fof(f3259,plain,
( ~ sQ33_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f3258]) ).
fof(f3261,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f3017,f93]) ).
fof(f3262,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ122_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f3017,f91]) ).
fof(f3263,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ122_spl
| equalish(X0,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f3017,f89]) ).
fof(f3264,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ122_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3017,f95]) ).
fof(f3265,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ39_spl
| ~ greater(e_5,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f3106,f61]) ).
fof(f3266,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3106,f93]) ).
fof(f3267,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ39_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f3106,f91]) ).
fof(f3268,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f3106,f89]) ).
fof(f3269,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ39_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f3106,f95]) ).
fof(f3270,plain,
( ~ sQ34_spl
| ~ sQ122_spl
| ~ sQ103_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1613,f3017]) ).
fof(f3271,plain,
( ~ sQ34_spl
| ~ sQ122_spl
| ~ sQ103_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f3270,f487,f455,f516,f216]) ).
fof(f3272,plain,
( ~ sQ97_spl
| ~ sQ114_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1512,f452,f490,f431]) ).
fof(f3273,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| ~ sQ88_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f1332,f3106]) ).
fof(f3281,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ114_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f1516,f2339]) ).
fof(f3282,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ114_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f3281,f114,f490,f210,f516]) ).
fof(f3283,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| ~ sQ122_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1447,f3106]) ).
fof(f3284,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3283,f85]) ).
fof(f3285,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f3284]) ).
fof(f3286,plain,
( ~ sQ106_spl
| ~ sQ122_spl
| ~ sQ33_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f2585,f1748]) ).
fof(f3287,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f2585,f93]) ).
fof(f3288,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ33_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2585,f91]) ).
fof(f3289,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f2585,f89]) ).
fof(f3290,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ33_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f2585,f95]) ).
fof(f3291,plain,
( ~ sQ106_spl
| ~ sQ122_spl
| ~ sQ33_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f3286,f327,f213,f516,f465]) ).
fof(f3292,plain,
( ~ sQ106_spl
| ~ sQ73_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f1742,f1748]) ).
fof(f3293,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1742,f93]) ).
fof(f3294,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ106_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1742,f91]) ).
fof(f3295,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1742,f89]) ).
fof(f3296,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ106_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1742,f95]) ).
fof(f3297,plain,
( ~ sQ106_spl
| ~ sQ73_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f3292,f343,f349,f465]) ).
fof(f3298,plain,
( ~ sQ116_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f498,f1503]) ).
fof(f3299,plain,
( ~ sQ116_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f498,f1502]) ).
fof(f3300,plain,
( ~ sQ22_spl
| ~ sQ116_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f498,f671]) ).
fof(f3301,plain,
( ~ sQ116_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f498,f1501]) ).
fof(f3306,plain,
( ~ sQ22_spl
| ~ sQ116_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f3300,f415,f497,f175]) ).
fof(f3307,plain,
( ~ sQ116_spl
| ~ sQ23_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f2706,f498]) ).
fof(f3310,plain,
( ~ sQ33_spl
| ~ sQ122_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f517,f855]) ).
fof(f3317,plain,
( ~ sQ39_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f233,f1928]) ).
fof(f3319,plain,
( ~ sQ39_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f233,f1926]) ).
fof(f3320,plain,
( ~ sQ93_spl
| ~ sQ39_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f233,f1278]) ).
fof(f3325,plain,
( ~ sQ93_spl
| ~ sQ39_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f3320,f519,f232,f418]) ).
fof(f3326,plain,
( ~ sQ39_spl
| ~ sQ92_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1286,f233]) ).
fof(f3327,plain,
( ~ sQ122_spl
| ~ sQ34_spl
| product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f849,f517]) ).
fof(f3328,plain,
( ~ sQ122_spl
| ~ sQ117_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1495,f517]) ).
fof(f3329,plain,
( ~ sQ122_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3328,f67]) ).
fof(f3330,plain,
( ~ sQ122_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f3329]) ).
fof(f3331,plain,
( ~ sQ93_spl
| ~ sQ74_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f1728,f471,f352,f418]) ).
fof(f3342,plain,
( ~ sQ80_spl
| ~ sQ65_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f325,f1396]) ).
fof(f3344,plain,
( ~ sQ14_spl
| ~ sQ65_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f325,f530]) ).
fof(f3345,plain,
( ~ sQ65_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f325,f1170]) ).
fof(f3350,plain,
( ~ sQ80_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3342,f78]) ).
fof(f3351,plain,
( ~ sQ80_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f3350]) ).
fof(f3356,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2979,f2826]) ).
fof(f3359,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ59_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f897,f2826]) ).
fof(f3360,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ59_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f3359,f352,f300,f229,f137]) ).
fof(f3361,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ55_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f917,f2826]) ).
fof(f3362,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ55_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f3361,f340,f288,f229,f137]) ).
fof(f3363,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ56_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f2983,f343,f291,f229,f137]) ).
fof(f3364,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ57_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f908,f2826]) ).
fof(f3367,plain,
( ~ sQ72_spl
| ~ sQ117_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f501,f1093]) ).
fof(f3368,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ117_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f501,f2980]) ).
fof(f3369,plain,
( ~ sQ117_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f501,f1494]) ).
fof(f3374,plain,
( ~ sQ72_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3367,f86]) ).
fof(f3375,plain,
( ~ sQ72_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f3374]) ).
fof(f3384,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1014,f237]) ).
fof(f3385,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3384,f69]) ).
fof(f3386,plain,
( ~ sQ40_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f3385]) ).
fof(f3387,plain,
( ~ sQ31_spl
| ~ sQ42_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f2830,f137,f242,f207]) ).
fof(f3388,plain,
( ~ sQ116_spl
| ~ sQ23_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f3307,f418,f178,f497]) ).
fof(f3389,plain,
( ~ sQ16_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f157,f731]) ).
fof(f3391,plain,
( ~ sQ16_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f157,f729]) ).
fof(f3392,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f157,f578]) ).
fof(f3397,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f3392,f172,f156,f121]) ).
fof(f3403,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ114_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f2920,f93]) ).
fof(f3404,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ114_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f2920,f91]) ).
fof(f3405,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2920,f89]) ).
fof(f3406,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ114_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2920,f95]) ).
fof(f3410,plain,
( ~ sQ28_spl
| ~ sQ123_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f520,f620]) ).
fof(f3417,plain,
( ~ sQ28_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3410,f84]) ).
fof(f3418,plain,
( ~ sQ28_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f3417]) ).
fof(f3426,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1544,f2339]) ).
fof(f3427,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f3426,f105,f481,f210,f516]) ).
fof(f3428,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ82_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1383,f2339]) ).
fof(f3429,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3428,f77]) ).
fof(f3430,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f3429]) ).
fof(f3435,plain,
( ~ sQ16_spl
| ~ sQ91_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f413,f730]) ).
fof(f3437,plain,
( ~ sQ101_spl
| ~ sQ91_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f413,f1635]) ).
fof(f3438,plain,
( ~ sQ91_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f413,f1289]) ).
fof(f3439,plain,
( ~ sQ118_spl
| ~ sQ91_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f413,f2527]) ).
fof(f3440,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f413,f93]) ).
fof(f3441,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f413,f91]) ).
fof(f3442,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f413,f89]) ).
fof(f3443,plain,
! [X0] :
( ~ sQ91_spl
| product(e_5,X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f413,f95]) ).
fof(f3444,plain,
( ~ sQ16_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3435,f85]) ).
fof(f3445,plain,
( ~ sQ16_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f3444]) ).
fof(f3447,plain,
( ~ sQ83_spl
| ~ sQ68_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f334,f1378]) ).
fof(f3448,plain,
( ~ sQ68_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f334,f1140]) ).
fof(f3450,plain,
( ~ sQ56_spl
| ~ sQ68_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f334,f912]) ).
fof(f3455,plain,
( ~ sQ83_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3447,f78]) ).
fof(f3456,plain,
( ~ sQ83_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f3455]) ).
fof(f3457,plain,
( ~ sQ56_spl
| ~ sQ68_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f3450,f311,f333,f291]) ).
fof(f3458,plain,
( ~ sQ68_spl
| ~ sQ55_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f917,f334]) ).
fof(f3459,plain,
( ~ sQ122_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f517,f1447]) ).
fof(f3460,plain,
( ~ sQ107_spl
| ~ sQ122_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f517,f1586]) ).
fof(f3462,plain,
( ~ sQ122_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f517,f1445]) ).
fof(f3469,plain,
( ~ sQ107_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3460,f69]) ).
fof(f3470,plain,
( ~ sQ107_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f3469]) ).
fof(f3471,plain,
( ~ sQ117_spl
| ~ sQ86_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f2682,f191,f396,f500]) ).
fof(f3472,plain,
( ~ sQ14_spl
| ~ sQ65_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f3344,f268,f324,f146]) ).
fof(f3473,plain,
( ~ sQ74_spl
| ~ sQ31_spl
| ~ sQ77_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f3188,f1078]) ).
fof(f3474,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f3188,f93]) ).
fof(f3475,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ77_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f3188,f91]) ).
fof(f3476,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f3188,f89]) ).
fof(f3477,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ77_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3188,f95]) ).
fof(f3478,plain,
( ~ sQ74_spl
| ~ sQ31_spl
| ~ sQ77_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f3473,f165,f362,f207,f352]) ).
fof(f3479,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f230,f811]) ).
fof(f3480,plain,
( ~ sQ38_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f230,f810]) ).
fof(f3481,plain,
( ~ sQ8_spl
| ~ sQ38_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f230,f567]) ).
fof(f3482,plain,
( ~ sQ38_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f230,f809]) ).
fof(f3487,plain,
( ~ sQ8_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3481,f68]) ).
fof(f3488,plain,
( ~ sQ8_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f3487]) ).
fof(f3503,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ39_spl
| ~ sQ88_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f3273,f93]) ).
fof(f3504,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ39_spl
| ~ sQ88_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f3273,f91]) ).
fof(f3505,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ39_spl
| ~ sQ88_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f3273,f89]) ).
fof(f3506,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ39_spl
| ~ sQ88_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f3273,f95]) ).
fof(f3507,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| ~ next(e_5,e_4) ),
inference(resolution,[status(thm)],[f3265,f59]) ).
fof(f3508,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| ~ next(e_5,e_3) ),
inference(resolution,[status(thm)],[f3265,f58]) ).
fof(f3509,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| ~ next(e_5,e_2) ),
inference(resolution,[status(thm)],[f3265,f56]) ).
fof(f3510,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| ~ next(e_5,e_1) ),
inference(resolution,[status(thm)],[f3265,f53]) ).
fof(f3522,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| ~ sQ88_spl
| ~ sQ103_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1612,f3273]) ).
fof(f3523,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| ~ sQ88_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1329,f3273]) ).
fof(f3524,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3523,f83]) ).
fof(f3525,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f3524]) ).
fof(f3527,plain,
( ~ sQ4_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f738,f72]) ).
fof(f3528,plain,
( ~ sQ4_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f3527]) ).
fof(f3531,plain,
( ~ sQ29_spl
| ~ sQ79_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f369,f611]) ).
fof(f3532,plain,
( ~ sQ86_spl
| ~ sQ79_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f369,f1346]) ).
fof(f3533,plain,
( ~ sQ79_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f369,f1029]) ).
fof(f3539,plain,
( ~ sQ29_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3531,f80]) ).
fof(f3540,plain,
( ~ sQ29_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f3539]) ).
fof(f3541,plain,
( ~ sQ107_spl
| ~ sQ98_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2970,f330,f434,f468]) ).
fof(f3542,plain,
( ~ sQ68_spl
| ~ sQ55_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f3458,f308,f288,f333]) ).
fof(f3543,plain,
( ~ sQ79_spl
| ~ sQ87_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1339,f369]) ).
fof(f3546,plain,
( ~ sQ53_spl
| ~ sQ118_spl
| product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f504,f941]) ).
fof(f3552,plain,
( ~ sQ53_spl
| ~ sQ118_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f3546,f386,f503,f281]) ).
fof(f3553,plain,
( ~ sQ118_spl
| ~ sQ50_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f969,f504]) ).
fof(f3554,plain,
( ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f214,f854]) ).
fof(f3555,plain,
( ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f214,f853]) ).
fof(f3556,plain,
( ~ sQ56_spl
| ~ sQ33_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f214,f912]) ).
fof(f3557,plain,
( ~ sQ68_spl
| ~ sQ33_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f214,f1139]) ).
fof(f3558,plain,
( ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f214,f852]) ).
fof(f3563,plain,
( ~ sQ56_spl
| ~ sQ33_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f3556,f359,f213,f291]) ).
fof(f3564,plain,
( ~ sQ68_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3557,f69]) ).
fof(f3565,plain,
( ~ sQ68_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f3564]) ).
fof(f3566,plain,
( ~ sQ12_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2428,f72]) ).
fof(f3567,plain,
( ~ sQ12_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f3566]) ).
fof(f3572,plain,
( ~ sQ31_spl
| ~ sQ77_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3476,f3188]) ).
fof(f3575,plain,
( ~ sQ31_spl
| ~ sQ77_spl
| ~ sQ71_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f1121,f3188]) ).
fof(f3576,plain,
( ~ sQ31_spl
| ~ sQ77_spl
| ~ sQ11_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f553,f3188]) ).
fof(f3577,plain,
( ~ sQ31_spl
| ~ sQ77_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3576,f79]) ).
fof(f3578,plain,
( ~ sQ31_spl
| ~ sQ77_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f3577]) ).
fof(f3579,plain,
( ~ sQ31_spl
| ~ sQ77_spl
| ~ sQ71_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f3575,f156,f343,f362,f207]) ).
fof(f3580,plain,
( ~ sQ31_spl
| ~ sQ77_spl
| ~ sQ70_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f1129,f3188]) ).
fof(f3581,plain,
( ~ sQ31_spl
| ~ sQ77_spl
| ~ sQ70_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f3580,f153,f340,f362,f207]) ).
fof(f3582,plain,
( ~ sQ121_spl
| ~ sQ85_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f3046,f239,f393,f513]) ).
fof(f3583,plain,
( ~ sQ101_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3437,f74]) ).
fof(f3584,plain,
( ~ sQ101_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f3583]) ).
fof(f3590,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ41_spl
| ~ greater(e_5,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f2757,f61]) ).
fof(f3591,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f2757,f93]) ).
fof(f3592,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ41_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2757,f91]) ).
fof(f3593,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ41_spl
| equalish(X0,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2757,f89]) ).
fof(f3594,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ41_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2757,f95]) ).
fof(f3599,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f3268,f3106]) ).
fof(f3600,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3267,f3106]) ).
fof(f3601,plain,
( ~ sQ39_spl
| ~ sQ41_spl
| ~ sQ94_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f3266,f2757]) ).
fof(f3602,plain,
( ~ sQ94_spl
| ~ sQ39_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f3266,f3106]) ).
fof(f3603,plain,
( ~ sQ39_spl
| ~ sQ41_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3601,f74]) ).
fof(f3604,plain,
( ~ sQ39_spl
| ~ sQ41_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f3603]) ).
fof(f3612,plain,
( ~ sQ122_spl
| ~ sQ34_spl
| ~ sQ101_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f1638,f3327]) ).
fof(f3613,plain,
( ~ sQ122_spl
| ~ sQ34_spl
| ~ sQ101_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f3612,f481,f449,f216,f516]) ).
fof(f3614,plain,
( ~ sQ39_spl
| ~ sQ41_spl
| ~ sQ85_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1350,f2757]) ).
fof(f3615,plain,
( ~ sQ39_spl
| ~ sQ41_spl
| ~ sQ85_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f3614,f494,f393,f239,f232]) ).
fof(f3618,plain,
( ~ sQ122_spl
| ~ sQ34_spl
| ~ sQ104_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1606,f3327]) ).
fof(f3619,plain,
( ~ sQ122_spl
| ~ sQ34_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3618,f78]) ).
fof(f3620,plain,
( ~ sQ122_spl
| ~ sQ34_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f3619]) ).
fof(f3621,plain,
( ~ sQ118_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f504,f2526]) ).
fof(f3622,plain,
( ~ sQ118_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f504,f2525]) ).
fof(f3623,plain,
( ~ sQ53_spl
| ~ sQ118_spl
| product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f504,f941]) ).
fof(f3630,plain,
( ~ sQ25_spl
| ~ sQ20_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f170,f652]) ).
fof(f3631,plain,
( ~ sQ20_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f170,f2395]) ).
fof(f3632,plain,
( ~ sQ35_spl
| ~ sQ20_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f170,f837]) ).
fof(f3633,plain,
( ~ sQ25_spl
| ~ sQ20_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f170,f654]) ).
fof(f3634,plain,
( ~ sQ20_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f170,f2394]) ).
fof(f3639,plain,
( ~ sQ25_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3630,f71]) ).
fof(f3640,plain,
( ~ sQ25_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f3639]) ).
fof(f3641,plain,
( ~ sQ20_spl
| ~ sQ29_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f614,f170]) ).
fof(f3642,plain,
( ~ sQ20_spl
| ~ sQ29_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f3641,f232,f197,f169]) ).
fof(f3650,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ110_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f1550,f2339]) ).
fof(f3651,plain,
( ~ sQ0_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f103,f1703]) ).
fof(f3652,plain,
( ~ sQ0_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f103,f1702]) ).
fof(f3653,plain,
( ~ sQ110_spl
| ~ sQ0_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f103,f1547]) ).
fof(f3654,plain,
( ~ sQ14_spl
| ~ sQ0_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f103,f530]) ).
fof(f3660,plain,
( ~ sQ110_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3653,f78]) ).
fof(f3661,plain,
( ~ sQ110_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f3660]) ).
fof(f3662,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1544,f2339]) ).
fof(f3664,plain,
( ~ sQ32_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f211,f2624]) ).
fof(f3665,plain,
( ~ sQ1_spl
| ~ sQ32_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f211,f1694]) ).
fof(f3671,plain,
( ~ sQ1_spl
| ~ sQ32_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f3665,f137,f210,f105]) ).
fof(f3672,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f198,f613]) ).
fof(f3673,plain,
( ~ sQ29_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f198,f612]) ).
fof(f3674,plain,
( ~ sQ89_spl
| ~ sQ29_spl
| product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f198,f1325]) ).
fof(f3681,plain,
( ~ sQ89_spl
| ~ sQ29_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f3674,f506,f197,f405]) ).
fof(f3682,plain,
( ~ sQ86_spl
| ~ sQ124_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f1401,f449,f522,f396]) ).
fof(f3685,plain,
( ~ sQ83_spl
| ~ sQ49_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f269,f1380]) ).
fof(f3691,plain,
( ~ sQ83_spl
| ~ sQ49_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f3685,f519,f268,f386]) ).
fof(f3692,plain,
( ~ sQ57_spl
| ~ sQ3_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2670,f330,f111,f294]) ).
fof(f3693,plain,
( ~ sQ124_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f523,f1405]) ).
fof(f3694,plain,
( ~ sQ124_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f523,f1404]) ).
fof(f3695,plain,
( ~ sQ79_spl
| ~ sQ124_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f523,f1029]) ).
fof(f3696,plain,
( ~ sQ124_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f523,f1403]) ).
fof(f3697,plain,
( ~ sQ89_spl
| ~ sQ124_spl
| product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f523,f1325]) ).
fof(f3703,plain,
( ~ sQ79_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3695,f86]) ).
fof(f3704,plain,
( ~ sQ79_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f3703]) ).
fof(f3705,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f3623,f93]) ).
fof(f3706,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ118_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f3623,f91]) ).
fof(f3707,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f3623,f89]) ).
fof(f3708,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ118_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3623,f95]) ).
fof(f3709,plain,
( ~ sQ53_spl
| ~ sQ118_spl
| ~ sQ106_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1748,f3623]) ).
fof(f3710,plain,
( ~ sQ53_spl
| ~ sQ118_spl
| ~ sQ106_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f3709,f311,f465,f503,f281]) ).
fof(f3712,plain,
( ~ sQ89_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f406,f1323]) ).
fof(f3713,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f406,f1216]) ).
fof(f3714,plain,
( ~ sQ94_spl
| ~ sQ89_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f406,f1270]) ).
fof(f3715,plain,
( ~ sQ101_spl
| ~ sQ89_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f406,f1638]) ).
fof(f3716,plain,
( ~ sQ89_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f406,f1322]) ).
fof(f3721,plain,
( ~ sQ99_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3713,f68]) ).
fof(f3722,plain,
( ~ sQ99_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f3721]) ).
fof(f3723,plain,
( ~ sQ64_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f321,f1182]) ).
fof(f3724,plain,
( ~ sQ64_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f321,f1181]) ).
fof(f3725,plain,
( ~ sQ82_spl
| ~ sQ64_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f321,f1386]) ).
fof(f3726,plain,
( ~ sQ64_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f321,f1180]) ).
fof(f3731,plain,
( ~ sQ82_spl
| ~ sQ64_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f3725,f468,f320,f383]) ).
fof(f3733,plain,
( ~ sQ24_spl
| ~ sQ94_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f422,f659]) ).
fof(f3736,plain,
( ~ sQ101_spl
| ~ sQ94_spl
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f422,f1638]) ).
fof(f3741,plain,
( ~ sQ24_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3733,f84]) ).
fof(f3742,plain,
( ~ sQ24_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f3741]) ).
fof(f3743,plain,
( ~ sQ14_spl
| ~ sQ0_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f3654,f216,f102,f146]) ).
fof(f3746,plain,
( ~ sQ43_spl
| ~ sQ75_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f357,f765]) ).
fof(f3755,plain,
( ~ sQ34_spl
| ~ sQ27_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f192,f849]) ).
fof(f3756,plain,
( ~ sQ30_spl
| ~ sQ27_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f192,f881]) ).
fof(f3763,plain,
( ~ sQ30_spl
| ~ sQ27_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f3756,f118,f191,f204]) ).
fof(f3764,plain,
( ~ sQ86_spl
| ~ sQ79_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f3532,f465,f368,f396]) ).
fof(f3772,plain,
( ~ sQ48_spl
| ~ sQ123_spl
| ~ sQ109_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f1555,f2606]) ).
fof(f3773,plain,
( ~ sQ48_spl
| ~ sQ123_spl
| ~ sQ109_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f3772,f320,f474,f519,f265]) ).
fof(f3774,plain,
( ~ sQ14_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f147,f529]) ).
fof(f3775,plain,
( ~ sQ99_spl
| ~ sQ14_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f147,f1217]) ).
fof(f3776,plain,
( ~ sQ14_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f147,f528]) ).
fof(f3777,plain,
( ~ sQ79_spl
| ~ sQ14_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f147,f1029]) ).
fof(f3778,plain,
( ~ sQ85_spl
| ~ sQ14_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f147,f1350]) ).
fof(f3779,plain,
( ~ sQ14_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f147,f527]) ).
fof(f3785,plain,
( ~ sQ99_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3775,f70]) ).
fof(f3786,plain,
( ~ sQ99_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f3785]) ).
fof(f3787,plain,
( ~ sQ101_spl
| ~ sQ94_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f3736,f497,f421,f449]) ).
fof(f3788,plain,
( ~ sQ94_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3714,f67]) ).
fof(f3789,plain,
( ~ sQ94_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f3788]) ).
fof(f3790,plain,
( ~ sQ101_spl
| ~ sQ89_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f3715,f513,f405,f449]) ).
fof(f3791,plain,
( ~ sQ89_spl
| ~ sQ124_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f3697,f458,f522,f405]) ).
fof(f3792,plain,
( ~ sQ118_spl
| ~ sQ91_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f3439,f178,f412,f503]) ).
fof(f3793,plain,
( ~ sQ14_spl
| ~ sQ89_spl
| product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f1325,f147]) ).
fof(f3794,plain,
( ~ sQ14_spl
| ~ sQ89_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f3793,f490,f405,f146]) ).
fof(f3795,plain,
( ~ sQ14_spl
| ~ sQ124_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1403,f147]) ).
fof(f3796,plain,
( ~ sQ14_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3795,f78]) ).
fof(f3797,plain,
( ~ sQ14_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f3796]) ).
fof(f3801,plain,
( ~ sQ42_spl
| ~ sQ25_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f186,f772]) ).
fof(f3807,plain,
( ~ sQ42_spl
| ~ sQ25_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f3801,f226,f185,f242]) ).
fof(f3814,plain,
( ~ sQ123_spl
| ~ sQ65_spl
| ~ sQ107_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f3115,f1415]) ).
fof(f3822,plain,
( ~ sQ65_spl
| ~ sQ107_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f3145,f3115]) ).
fof(f3823,plain,
( ~ sQ65_spl
| ~ sQ107_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f3144,f3115]) ).
fof(f3825,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ79_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1030,f2647]) ).
fof(f3826,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3825,f83]) ).
fof(f3827,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f3826]) ).
fof(f3830,plain,
( ~ sQ33_spl
| ~ sQ42_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f243,f855]) ).
fof(f3837,plain,
( ~ sQ33_spl
| ~ sQ42_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f3830,f143,f242,f213]) ).
fof(f3840,plain,
( ~ sQ116_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f498,f1503]) ).
fof(f3841,plain,
( ~ sQ116_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f498,f1502]) ).
fof(f3842,plain,
( ~ sQ24_spl
| ~ sQ116_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f498,f661]) ).
fof(f3843,plain,
( ~ sQ116_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f498,f1501]) ).
fof(f3848,plain,
( ~ sQ24_spl
| ~ sQ116_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f3842,f421,f497,f181]) ).
fof(f3849,plain,
( ~ sQ16_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f157,f731]) ).
fof(f3850,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f157,f675]) ).
fof(f3851,plain,
( ~ sQ16_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f157,f730]) ).
fof(f3852,plain,
( ~ sQ111_spl
| ~ sQ16_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f157,f1541]) ).
fof(f3853,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f157,f1691]) ).
fof(f3854,plain,
( ~ sQ16_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f157,f729]) ).
fof(f3855,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f157,f570]) ).
fof(f3860,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3850,f76]) ).
fof(f3861,plain,
( ~ sQ21_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f3860]) ).
fof(f3862,plain,
( ~ sQ27_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3186,f80]) ).
fof(f3863,plain,
( ~ sQ27_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f3862]) ).
fof(f3864,plain,
( ~ sQ88_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f403,f1331]) ).
fof(f3865,plain,
( ~ sQ48_spl
| ~ sQ88_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f403,f988]) ).
fof(f3867,plain,
( ~ sQ106_spl
| ~ sQ88_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f403,f1748]) ).
fof(f3868,plain,
( ~ sQ103_spl
| ~ sQ88_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f403,f1610]) ).
fof(f3869,plain,
( ~ sQ88_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f403,f1329]) ).
fof(f3874,plain,
( ~ sQ48_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3865,f86]) ).
fof(f3875,plain,
( ~ sQ48_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f3874]) ).
fof(f3876,plain,
( ~ sQ7_spl
| ~ sQ122_spl
| ~ sQ32_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2339,f572]) ).
fof(f3881,plain,
( ~ sQ7_spl
| ~ sQ122_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3876,f84]) ).
fof(f3882,plain,
( ~ sQ7_spl
| ~ sQ122_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f3881]) ).
fof(f3890,plain,
( ~ sQ53_spl
| ~ sQ118_spl
| ~ sQ109_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f1555,f3623]) ).
fof(f3891,plain,
( ~ sQ53_spl
| ~ sQ118_spl
| ~ sQ109_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f3890,f320,f474,f503,f281]) ).
fof(f3893,plain,
( ~ sQ29_spl
| ~ sQ94_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f422,f612]) ).
fof(f3894,plain,
( ~ sQ94_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f422,f1271]) ).
fof(f3895,plain,
( ~ sQ100_spl
| ~ sQ94_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f422,f1645]) ).
fof(f3896,plain,
( ~ sQ94_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f422,f1270]) ).
fof(f3901,plain,
( ~ sQ29_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3893,f83]) ).
fof(f3902,plain,
( ~ sQ29_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f3901]) ).
fof(f3904,plain,
( ~ sQ99_spl
| ~ sQ9_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f131,f1217]) ).
fof(f3905,plain,
( ~ sQ9_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f131,f564]) ).
fof(f3906,plain,
( ~ sQ90_spl
| ~ sQ9_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f131,f1852]) ).
fof(f3907,plain,
( ~ sQ9_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f131,f563]) ).
fof(f3912,plain,
( ~ sQ99_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3904,f74]) ).
fof(f3913,plain,
( ~ sQ99_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f3912]) ).
fof(f3914,plain,
( ~ sQ23_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f179,f2705]) ).
fof(f3915,plain,
( ~ sQ93_spl
| ~ sQ23_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f179,f1276]) ).
fof(f3917,plain,
( ~ sQ50_spl
| ~ sQ23_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f179,f969]) ).
fof(f3919,plain,
( ~ sQ52_spl
| ~ sQ23_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f179,f957]) ).
fof(f3924,plain,
( ~ sQ93_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3915,f74]) ).
fof(f3925,plain,
( ~ sQ93_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f3924]) ).
fof(f3926,plain,
( ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f279,f956]) ).
fof(f3927,plain,
( ~ sQ52_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f279,f955]) ).
fof(f3928,plain,
( ~ sQ57_spl
| ~ sQ52_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f279,f905]) ).
fof(f3929,plain,
( ~ sQ67_spl
| ~ sQ52_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f279,f1147]) ).
fof(f3930,plain,
( ~ sQ52_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f279,f954]) ).
fof(f3935,plain,
( ~ sQ57_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3928,f72]) ).
fof(f3936,plain,
( ~ sQ57_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f3935]) ).
fof(f3938,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f3239,f93]) ).
fof(f3939,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f3239,f91]) ).
fof(f3940,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ78_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f3239,f89]) ).
fof(f3941,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ78_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f3239,f95]) ).
fof(f3942,plain,
( ~ sQ46_spl
| ~ sQ78_spl
| ~ sQ70_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1129,f3239]) ).
fof(f3946,plain,
( ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f243,f771]) ).
fof(f3948,plain,
( ~ sQ34_spl
| ~ sQ42_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f243,f849]) ).
fof(f3949,plain,
( ~ sQ30_spl
| ~ sQ42_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f243,f881]) ).
fof(f3956,plain,
( ~ sQ30_spl
| ~ sQ42_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f3949,f134,f242,f204]) ).
fof(f3959,plain,
( ~ sQ45_spl
| ~ sQ78_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f366,f1016]) ).
fof(f3966,plain,
( ~ sQ45_spl
| ~ sQ78_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f3959,f308,f365,f256]) ).
fof(f3967,plain,
( ~ sQ78_spl
| ~ sQ48_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f990,f366]) ).
fof(f3968,plain,
( ~ sQ78_spl
| ~ sQ48_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f3967,f317,f265,f365]) ).
fof(f3970,plain,
( ~ sQ74_spl
| ~ sQ46_spl
| ~ sQ78_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f3239,f1078]) ).
fof(f3975,plain,
( ~ sQ46_spl
| ~ sQ78_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3940,f3239]) ).
fof(f3979,plain,
( ~ sQ19_spl
| ~ sQ74_spl
| ~ sQ46_spl
| ~ sQ78_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f3970,f690]) ).
fof(f3980,plain,
( ~ sQ29_spl
| ~ sQ74_spl
| ~ sQ46_spl
| ~ sQ78_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f3970,f612]) ).
fof(f3981,plain,
( ~ sQ80_spl
| ~ sQ74_spl
| ~ sQ46_spl
| ~ sQ78_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f3970,f1398]) ).
fof(f3982,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ46_spl
| ~ sQ78_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3970,f93]) ).
fof(f3983,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ46_spl
| ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f3970,f91]) ).
fof(f3984,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ46_spl
| ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f3970,f89]) ).
fof(f3985,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ46_spl
| ~ sQ78_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3970,f95]) ).
fof(f3988,plain,
( ~ sQ78_spl
| ~ sQ47_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f998,f366]) ).
fof(f3989,plain,
( ~ sQ42_spl
| ~ sQ47_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f996,f243]) ).
fof(f3990,plain,
( ~ sQ42_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3989,f69]) ).
fof(f3991,plain,
( ~ sQ42_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f3990]) ).
fof(f3997,plain,
( ~ sQ108_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f472,f1582]) ).
fof(f3998,plain,
( ~ sQ108_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f472,f1581]) ).
fof(f3999,plain,
( ~ sQ108_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f472,f1580]) ).
fof(f4005,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ78_spl
| ~ sQ70_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f3942,f93]) ).
fof(f4006,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ78_spl
| ~ sQ70_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f3942,f91]) ).
fof(f4007,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ78_spl
| ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f3942,f89]) ).
fof(f4008,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ78_spl
| ~ sQ70_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f3942,f95]) ).
fof(f4010,plain,
( ~ sQ100_spl
| ~ sQ94_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f3895,f494,f421,f446]) ).
fof(f4011,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ57_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f3364,f346,f294,f229,f137]) ).
fof(f4014,plain,
( ~ sQ3_spl
| ~ sQ32_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f2620,f143,f210,f111]) ).
fof(f4015,plain,
( ~ sQ85_spl
| ~ sQ14_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3778,f478,f146,f393]) ).
fof(f4016,plain,
( ~ sQ50_spl
| ~ sQ23_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f3917,f340,f178,f272]) ).
fof(f4017,plain,
( ~ sQ63_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3237,f69]) ).
fof(f4018,plain,
( ~ sQ63_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f4017]) ).
fof(f4019,plain,
( ~ sQ41_spl
| ~ sQ44_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f249,f778]) ).
fof(f4020,plain,
( ~ sQ44_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f249,f759]) ).
fof(f4021,plain,
( ~ sQ34_spl
| ~ sQ44_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f249,f847]) ).
fof(f4022,plain,
( ~ sQ49_spl
| ~ sQ44_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f249,f971]) ).
fof(f4024,plain,
( ~ sQ29_spl
| ~ sQ44_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f249,f611]) ).
fof(f4026,plain,
( ~ sQ87_spl
| ~ sQ44_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f249,f1339]) ).
fof(f4032,plain,
( ~ sQ41_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4019,f84]) ).
fof(f4033,plain,
( ~ sQ41_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f4032]) ).
fof(f4034,plain,
( ~ sQ43_spl
| ~ sQ10_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f3085,f213,f134,f245]) ).
fof(f4035,plain,
( ~ sQ43_spl
| ~ sQ75_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f3746,f265,f356,f245]) ).
fof(f4039,plain,
( ~ sQ51_spl
| ~ sQ21_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f173,f963]) ).
fof(f4047,plain,
( ~ sQ51_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4039,f73]) ).
fof(f4048,plain,
( ~ sQ51_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f4047]) ).
fof(f4049,plain,
( ~ sQ104_spl
| ~ sQ123_spl
| ~ sQ49_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2647,f1606]) ).
fof(f4050,plain,
( ~ sQ104_spl
| ~ sQ123_spl
| ~ sQ49_spl
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f2647,f1609]) ).
fof(f4055,plain,
( ~ sQ104_spl
| ~ sQ123_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4049,f82]) ).
fof(f4056,plain,
( ~ sQ104_spl
| ~ sQ123_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f4055]) ).
fof(f4058,plain,
( ~ sQ72_spl
| ~ sQ67_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f331,f1094]) ).
fof(f4059,plain,
( ~ sQ67_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f331,f1145]) ).
fof(f4060,plain,
( ~ sQ112_spl
| ~ sQ67_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f331,f1529]) ).
fof(f4061,plain,
( ~ sQ0_spl
| ~ sQ67_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f331,f1704]) ).
fof(f4062,plain,
( ~ sQ67_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f331,f1144]) ).
fof(f4067,plain,
( ~ sQ72_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4058,f76]) ).
fof(f4068,plain,
( ~ sQ72_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f4067]) ).
fof(f4069,plain,
( ~ sQ34_spl
| ~ sQ27_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f3755,f130,f191,f216]) ).
fof(f4070,plain,
( ~ sQ90_spl
| ~ sQ9_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3906,f478,f130,f409]) ).
fof(f4071,plain,
( ~ sQ103_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3868,f70]) ).
fof(f4072,plain,
( ~ sQ103_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f4071]) ).
fof(f4080,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ112_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1532,f2629]) ).
fof(f4082,plain,
( ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f263,f996]) ).
fof(f4083,plain,
( ~ sQ69_spl
| ~ sQ47_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f263,f1134]) ).
fof(f4084,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ112_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f263,f2733]) ).
fof(f4090,plain,
( ~ sQ69_spl
| ~ sQ47_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f4083,f146,f262,f336]) ).
fof(f4091,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4084,f68]) ).
fof(f4092,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f4091]) ).
fof(f4093,plain,
( ~ sQ49_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4022,f69]) ).
fof(f4094,plain,
( ~ sQ49_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f4093]) ).
fof(f4095,plain,
( ~ sQ35_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3632,f71]) ).
fof(f4096,plain,
( ~ sQ35_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f4095]) ).
fof(f4097,plain,
( ~ sQ1_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3853,f72]) ).
fof(f4098,plain,
( ~ sQ1_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f4097]) ).
fof(f4099,plain,
( ~ sQ52_spl
| ~ sQ23_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f3919,f346,f178,f278]) ).
fof(f4104,plain,
( ~ sQ78_spl
| ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2149,f3988]) ).
fof(f4105,plain,
( ~ sQ78_spl
| ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2150,f3988]) ).
fof(f4106,plain,
( ~ sQ78_spl
| ~ sQ47_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2151,f3988]) ).
fof(f4107,plain,
( ~ sQ78_spl
| ~ sQ47_spl
| ~ sQ66_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1165,f3988]) ).
fof(f4108,plain,
( ~ sQ78_spl
| ~ sQ47_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f995,f3988]) ).
fof(f4109,plain,
( ~ sQ78_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4108,f79]) ).
fof(f4110,plain,
( ~ sQ78_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f4109]) ).
fof(f4111,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f3081,f93]) ).
fof(f4112,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f3081,f91]) ).
fof(f4113,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f3081,f89]) ).
fof(f4114,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ33_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f3081,f95]) ).
fof(f4115,plain,
( ~ sQ77_spl
| ~ sQ33_spl
| ~ sQ63_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f1191,f3081]) ).
fof(f4116,plain,
( ~ sQ77_spl
| ~ sQ33_spl
| ~ sQ63_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f4115,f333,f317,f213,f362]) ).
fof(f4117,plain,
( ~ sQ7_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f125,f573]) ).
fof(f4118,plain,
( ~ sQ57_spl
| ~ sQ7_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f125,f906]) ).
fof(f4119,plain,
( ~ sQ7_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f125,f572]) ).
fof(f4120,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f125,f714]) ).
fof(f4126,plain,
( ~ sQ57_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4118,f73]) ).
fof(f4127,plain,
( ~ sQ57_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f4126]) ).
fof(f4135,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ102_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1633,f2647]) ).
fof(f4137,plain,
( ~ sQ86_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f397,f1344]) ).
fof(f4138,plain,
( ~ sQ91_spl
| ~ sQ86_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f397,f3440]) ).
fof(f4140,plain,
( ~ sQ115_spl
| ~ sQ86_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f397,f1510]) ).
fof(f4145,plain,
( ~ sQ91_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4138,f67]) ).
fof(f4146,plain,
( ~ sQ91_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f4145]) ).
fof(f4147,plain,
( ~ sQ86_spl
| ~ sQ118_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f2527,f397]) ).
fof(f4148,plain,
( ~ sQ72_spl
| ~ sQ46_spl
| ~ sQ78_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f3239,f1096]) ).
fof(f4153,plain,
( ~ sQ46_spl
| ~ sQ78_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3940,f3239]) ).
fof(f4156,plain,
( ~ sQ46_spl
| ~ sQ78_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1006,f3239]) ).
fof(f4157,plain,
( ~ sQ46_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4156,f79]) ).
fof(f4158,plain,
( ~ sQ46_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f4157]) ).
fof(f4159,plain,
( ~ sQ86_spl
| ~ sQ31_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f871,f397]) ).
fof(f4160,plain,
( ~ sQ86_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4159,f85]) ).
fof(f4161,plain,
( ~ sQ86_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f4160]) ).
fof(f4162,plain,
( ~ sQ0_spl
| ~ sQ67_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f4061,f288,f330,f102]) ).
fof(f4163,plain,
( ~ sQ112_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4060,f82]) ).
fof(f4164,plain,
( ~ sQ112_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f4163]) ).
fof(f4165,plain,
( ~ sQ115_spl
| ~ sQ86_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f4140,f185,f396,f494]) ).
fof(f4170,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f4135,f93]) ).
fof(f4171,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ102_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f4135,f91]) ).
fof(f4172,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f4135,f89]) ).
fof(f4173,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ102_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f4135,f95]) ).
fof(f4180,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ102_spl
| ~ sQ67_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f1147,f4135]) ).
fof(f4181,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ102_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1631,f4135]) ).
fof(f4182,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4181,f82]) ).
fof(f4183,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f4182]) ).
fof(f4184,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ100_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f1645,f2647]) ).
fof(f4185,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ100_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f4184,f462,f446,f268,f519]) ).
fof(f4186,plain,
( ~ sQ60_spl
| ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ113_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f2868,f1215]) ).
fof(f4187,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f2868,f93]) ).
fof(f4188,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f2868,f91]) ).
fof(f4189,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2868,f89]) ).
fof(f4190,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ113_spl
| product(e_4,X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f2868,f95]) ).
fof(f4202,plain,
( ~ sQ106_spl
| ~ sQ88_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f3867,f359,f402,f465]) ).
fof(f4203,plain,
( ~ sQ123_spl
| ~ sQ65_spl
| ~ sQ107_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f3814,f213,f468,f324,f519]) ).
fof(f4204,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ113_spl
| ~ sQ60_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1215,f2868]) ).
fof(f4206,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ113_spl
| ~ sQ58_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f899,f2868]) ).
fof(f4209,plain,
( ~ sQ113_spl
| ~ sQ123_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f520,f1519]) ).
fof(f4212,plain,
( ~ sQ123_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f520,f1412]) ).
fof(f4218,plain,
( ~ sQ113_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4209,f68]) ).
fof(f4219,plain,
( ~ sQ113_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f4218]) ).
fof(f4220,plain,
( ~ sQ31_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f208,f872]) ).
fof(f4221,plain,
( ~ sQ36_spl
| ~ sQ31_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f208,f828]) ).
fof(f4222,plain,
( ~ sQ31_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f208,f871]) ).
fof(f4223,plain,
( ~ sQ31_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f208,f870]) ).
fof(f4224,plain,
( ~ sQ9_spl
| ~ sQ31_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f208,f566]) ).
fof(f4229,plain,
( ~ sQ36_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4221,f76]) ).
fof(f4230,plain,
( ~ sQ36_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f4229]) ).
fof(f4231,plain,
( ~ sQ36_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f224,f829]) ).
fof(f4232,plain,
( ~ sQ36_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f224,f828]) ).
fof(f4233,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f224,f661]) ).
fof(f4234,plain,
( ~ sQ36_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f224,f827]) ).
fof(f4239,plain,
( ~ sQ24_spl
| ~ sQ36_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f4233,f197,f223,f181]) ).
fof(f4244,plain,
( ~ sQ5_spl
| ~ sQ65_spl
| ~ sQ107_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f3115,f598]) ).
fof(f4245,plain,
( ~ sQ124_spl
| ~ sQ65_spl
| ~ sQ107_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f3115,f1406]) ).
fof(f4246,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ107_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f3115,f93]) ).
fof(f4247,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ107_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f3115,f91]) ).
fof(f4248,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ107_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f3115,f89]) ).
fof(f4249,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ107_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f3115,f95]) ).
fof(f4250,plain,
( ~ sQ5_spl
| ~ sQ65_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4244,f84]) ).
fof(f4251,plain,
( ~ sQ5_spl
| ~ sQ65_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f4250]) ).
fof(f4252,plain,
( ~ sQ67_spl
| ~ sQ52_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f3929,f124,f278,f330]) ).
fof(f4260,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ101_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1638,f2647]) ).
fof(f4261,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ101_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f4260,f465,f449,f268,f519]) ).
fof(f4262,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ69_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1132,f2647]) ).
fof(f4263,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4262,f85]) ).
fof(f4264,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f4263]) ).
fof(f4267,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f674]) ).
fof(f4273,plain,
( ~ sQ93_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f419,f1277]) ).
fof(f4274,plain,
( ~ sQ93_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f419,f1276]) ).
fof(f4275,plain,
( ~ sQ108_spl
| ~ sQ93_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f419,f1583]) ).
fof(f4282,plain,
( ~ sQ108_spl
| ~ sQ123_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f520,f1581]) ).
fof(f4284,plain,
( ~ sQ46_spl
| ~ sQ123_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f520,f1009]) ).
fof(f4285,plain,
( ~ sQ13_spl
| ~ sQ123_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f520,f2381]) ).
fof(f4292,plain,
( ~ sQ108_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4282,f69]) ).
fof(f4293,plain,
( ~ sQ108_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f4292]) ).
fof(f4294,plain,
( ~ sQ37_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f227,f819]) ).
fof(f4295,plain,
( ~ sQ37_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f227,f818]) ).
fof(f4296,plain,
( ~ sQ18_spl
| ~ sQ37_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f227,f714]) ).
fof(f4297,plain,
( ~ sQ37_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f227,f817]) ).
fof(f4302,plain,
( ~ sQ18_spl
| ~ sQ37_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f4296,f143,f226,f162]) ).
fof(f4304,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f3553,f93]) ).
fof(f4305,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ50_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f3553,f91]) ).
fof(f4306,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f3553,f89]) ).
fof(f4307,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ50_spl
| product(e_5,X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f3553,f95]) ).
fof(f4308,plain,
( ~ sQ89_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f406,f1324]) ).
fof(f4309,plain,
( ~ sQ49_spl
| ~ sQ89_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f406,f971]) ).
fof(f4310,plain,
( ~ sQ89_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f406,f1323]) ).
fof(f4311,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f406,f1606]) ).
fof(f4312,plain,
( ~ sQ89_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f406,f1322]) ).
fof(f4313,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f406,f1609]) ).
fof(f4318,plain,
( ~ sQ49_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4309,f86]) ).
fof(f4319,plain,
( ~ sQ49_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f4318]) ).
fof(f4320,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4311,f70]) ).
fof(f4321,plain,
( ~ sQ104_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f4320]) ).
fof(f4324,plain,
( ~ sQ28_spl
| ~ sQ13_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f144,f620]) ).
fof(f4325,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f144,f998]) ).
fof(f4326,plain,
( ~ sQ13_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f144,f2381]) ).
fof(f4332,plain,
( ~ sQ28_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4324,f76]) ).
fof(f4333,plain,
( ~ sQ28_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f4332]) ).
fof(f4334,plain,
( ~ sQ19_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f166,f691]) ).
fof(f4335,plain,
( ~ sQ19_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f166,f690]) ).
fof(f4336,plain,
( ~ sQ19_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f166,f689]) ).
fof(f4341,plain,
( ~ sQ19_spl
| ~ sQ99_spl
| product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f1219,f166]) ).
fof(f4342,plain,
( ~ sQ19_spl
| ~ sQ99_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f4341,f506,f437,f165]) ).
fof(f4343,plain,
( ~ sQ124_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f523,f1405]) ).
fof(f4344,plain,
( ~ sQ104_spl
| ~ sQ124_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f523,f1607]) ).
fof(f4345,plain,
( ~ sQ124_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f523,f1404]) ).
fof(f4346,plain,
( ~ sQ124_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f523,f1403]) ).
fof(f4347,plain,
( ~ sQ87_spl
| ~ sQ124_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f523,f1339]) ).
fof(f4353,plain,
( ~ sQ104_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4344,f70]) ).
fof(f4354,plain,
( ~ sQ104_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f4353]) ).
fof(f4355,plain,
( ~ sQ18_spl
| ~ sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f4120,f111,f124,f162]) ).
fof(f4357,plain,
( ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f357,f1072]) ).
fof(f4358,plain,
( ~ sQ75_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f357,f1071]) ).
fof(f4364,plain,
( ~ sQ75_spl
| ~ sQ42_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f772,f357]) ).
fof(f4365,plain,
( ~ sQ75_spl
| ~ sQ42_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f4364,f262,f242,f356]) ).
fof(f4370,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ42_spl
| ~ greater(e_5,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f3948,f61]) ).
fof(f4371,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f3948,f93]) ).
fof(f4372,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ42_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f3948,f91]) ).
fof(f4373,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ42_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f3948,f89]) ).
fof(f4374,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ42_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3948,f95]) ).
fof(f4378,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ103_spl
| product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f1613,f2647]) ).
fof(f4379,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ103_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f4378,f471,f455,f268,f519]) ).
fof(f4380,plain,
( ~ sQ79_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3777,f77]) ).
fof(f4381,plain,
( ~ sQ79_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f4380]) ).
fof(f4382,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f4325,f93]) ).
fof(f4383,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f4325,f91]) ).
fof(f4384,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f4325,f89]) ).
fof(f4385,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ13_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f4325,f95]) ).
fof(f4386,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| ~ sQ4_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f606,f4325]) ).
fof(f4387,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| ~ sQ4_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f4386,f300,f114,f143,f262]) ).
fof(f4388,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f217,f848]) ).
fof(f4389,plain,
( ~ sQ89_spl
| ~ sQ34_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f217,f1323]) ).
fof(f4390,plain,
( ~ sQ34_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f217,f847]) ).
fof(f4391,plain,
( ~ sQ19_spl
| ~ sQ34_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f217,f689]) ).
fof(f4393,plain,
( ~ sQ95_spl
| ~ sQ34_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f217,f1244]) ).
fof(f4394,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f217,f93]) ).
fof(f4395,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f217,f91]) ).
fof(f4396,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f217,f89]) ).
fof(f4397,plain,
! [X0] :
( ~ sQ34_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f217,f95]) ).
fof(f4398,plain,
( ~ sQ89_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4389,f78]) ).
fof(f4399,plain,
( ~ sQ89_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f4398]) ).
fof(f4400,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1806,f93]) ).
fof(f4401,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ110_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1806,f91]) ).
fof(f4402,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ110_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1806,f89]) ).
fof(f4403,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ110_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1806,f95]) ).
fof(f4404,plain,
( ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ107_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f1588,f1806]) ).
fof(f4405,plain,
( ~ sQ13_spl
| ~ sQ110_spl
| ~ sQ107_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f4404,f362,f468,f478,f143]) ).
fof(f4406,plain,
( ~ sQ45_spl
| ~ sQ13_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f2379,f324,f143,f256]) ).
fof(f4409,plain,
( ~ sQ112_spl
| ~ sQ32_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f211,f1529]) ).
fof(f4411,plain,
( ~ sQ0_spl
| ~ sQ32_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f211,f1704]) ).
fof(f4416,plain,
( ~ sQ112_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4409,f70]) ).
fof(f4417,plain,
( ~ sQ112_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f4416]) ).
fof(f4418,plain,
( ~ sQ19_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4391,f67]) ).
fof(f4419,plain,
( ~ sQ19_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f4418]) ).
fof(f4420,plain,
( ~ sQ79_spl
| ~ sQ87_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f3543,f468,f399,f368]) ).
fof(f4430,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ101_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1638,f2647]) ).
fof(f4431,plain,
( ~ sQ34_spl
| ~ sQ42_spl
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f4370,f59]) ).
fof(f4432,plain,
( ~ sQ34_spl
| ~ sQ42_spl
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f4370,f58]) ).
fof(f4433,plain,
( ~ sQ34_spl
| ~ sQ42_spl
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f4370,f56]) ).
fof(f4434,plain,
( ~ sQ34_spl
| ~ sQ42_spl
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f4370,f53]) ).
fof(f4435,plain,
( ~ sQ34_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4431,f48]) ).
fof(f4436,plain,
( ~ sQ34_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f4435]) ).
fof(f4437,plain,
( ~ sQ87_spl
| ~ sQ124_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f4347,f452,f522,f399]) ).
fof(f4438,plain,
( ~ sQ96_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f429,f1234]) ).
fof(f4439,plain,
( ~ sQ56_spl
| ~ sQ96_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f429,f910]) ).
fof(f4440,plain,
( ~ sQ96_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f429,f1233]) ).
fof(f4441,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f429,f1391]) ).
fof(f4442,plain,
( ~ sQ96_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f429,f1232]) ).
fof(f4443,plain,
( ~ sQ115_spl
| ~ sQ96_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f429,f1510]) ).
fof(f4444,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f429,f93]) ).
fof(f4445,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f429,f91]) ).
fof(f4446,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f429,f89]) ).
fof(f4447,plain,
! [X0] :
( ~ sQ96_spl
| product(e_5,X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f429,f95]) ).
fof(f4448,plain,
( ~ sQ56_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4439,f86]) ).
fof(f4449,plain,
( ~ sQ56_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f4448]) ).
fof(f4452,plain,
( ~ sQ75_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f357,f1071]) ).
fof(f4453,plain,
( ~ sQ41_spl
| ~ sQ75_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f357,f779]) ).
fof(f4459,plain,
( ~ sQ90_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f410,f1851]) ).
fof(f4460,plain,
( ~ sQ15_spl
| ~ sQ90_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f410,f748]) ).
fof(f4461,plain,
( ~ sQ90_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f410,f1850]) ).
fof(f4463,plain,
( ~ sQ121_spl
| ~ sQ90_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f410,f1457]) ).
fof(f4468,plain,
( ~ sQ15_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4460,f85]) ).
fof(f4469,plain,
( ~ sQ15_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f4468]) ).
fof(f4470,plain,
( ~ sQ95_spl
| ~ sQ34_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f4393,f510,f216,f425]) ).
fof(f4471,plain,
( ~ sQ66_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f328,f1164]) ).
fof(f4472,plain,
( ~ sQ71_spl
| ~ sQ66_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f328,f1119]) ).
fof(f4473,plain,
( ~ sQ66_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f328,f1163]) ).
fof(f4474,plain,
( ~ sQ111_spl
| ~ sQ66_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f328,f1541]) ).
fof(f4475,plain,
( ~ sQ6_spl
| ~ sQ66_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f328,f578]) ).
fof(f4476,plain,
( ~ sQ66_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f328,f1162]) ).
fof(f4481,plain,
( ~ sQ71_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4472,f76]) ).
fof(f4482,plain,
( ~ sQ71_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f4481]) ).
fof(f4483,plain,
( ~ sQ35_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f221,f839]) ).
fof(f4484,plain,
( ~ sQ35_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f221,f838]) ).
fof(f4485,plain,
( ~ sQ115_spl
| ~ sQ35_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f221,f1507]) ).
fof(f4486,plain,
( ~ sQ35_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f221,f837]) ).
fof(f4487,plain,
( ~ sQ28_spl
| ~ sQ35_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f221,f623]) ).
fof(f4492,plain,
( ~ sQ115_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4485,f70]) ).
fof(f4493,plain,
( ~ sQ115_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f4492]) ).
fof(f4494,plain,
( ~ sQ8_spl
| ~ sQ16_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f3855,f178,f156,f127]) ).
fof(f4497,plain,
( ~ sQ28_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f195,f620]) ).
fof(f4503,plain,
( ~ sQ28_spl
| ~ sQ48_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f990,f195]) ).
fof(f4504,plain,
( ~ sQ28_spl
| ~ sQ48_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f4503,f349,f265,f194]) ).
fof(f4505,plain,
( ~ sQ34_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4021,f68]) ).
fof(f4506,plain,
( ~ sQ34_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f4505]) ).
fof(f4507,plain,
( ~ sQ56_spl
| ~ sQ11_spl
| ~ sQ38_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f2826,f912]) ).
fof(f4513,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2978,f2826]) ).
fof(f4514,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2979,f2826]) ).
fof(f4516,plain,
( ~ sQ1_spl
| ~ sQ56_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f292,f1692]) ).
fof(f4517,plain,
( ~ sQ11_spl
| ~ sQ56_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f292,f553]) ).
fof(f4518,plain,
( ~ sQ56_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f292,f910]) ).
fof(f4519,plain,
( ~ sQ106_spl
| ~ sQ56_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f292,f1745]) ).
fof(f4520,plain,
( ~ sQ56_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f292,f909]) ).
fof(f4521,plain,
( ~ sQ71_spl
| ~ sQ56_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f292,f1121]) ).
fof(f4526,plain,
( ~ sQ1_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4516,f81]) ).
fof(f4527,plain,
( ~ sQ1_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f4526]) ).
fof(f4528,plain,
( ~ sQ50_spl
| ~ sQ108_spl
| ~ sQ93_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f4275,f969]) ).
fof(f4529,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f4275,f93]) ).
fof(f4530,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f4275,f91]) ).
fof(f4531,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f4275,f89]) ).
fof(f4532,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ93_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f4275,f95]) ).
fof(f4533,plain,
( ~ sQ108_spl
| ~ sQ93_spl
| ~ sQ8_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f567,f4275]) ).
fof(f4534,plain,
( ~ sQ108_spl
| ~ sQ93_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4533,f81]) ).
fof(f4535,plain,
( ~ sQ108_spl
| ~ sQ93_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f4534]) ).
fof(f4537,plain,
( ~ sQ50_spl
| ~ sQ25_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f186,f967]) ).
fof(f4538,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f186,f652]) ).
fof(f4539,plain,
( ~ sQ120_spl
| ~ sQ25_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f186,f2080]) ).
fof(f4540,plain,
( ~ sQ25_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f186,f651]) ).
fof(f4541,plain,
( ~ sQ44_spl
| ~ sQ25_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f186,f760]) ).
fof(f4542,plain,
! [X0] :
( ~ sQ25_spl
| ~ greater(e_1,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f186,f61]) ).
fof(f4543,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f186,f93]) ).
fof(f4544,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f186,f91]) ).
fof(f4545,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f186,f89]) ).
fof(f4546,plain,
! [X0] :
( ~ sQ25_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f186,f95]) ).
fof(f4547,plain,
( ~ sQ50_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4537,f69]) ).
fof(f4548,plain,
( ~ sQ50_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f4547]) ).
fof(f4549,plain,
( ~ sQ61_spl
| ~ sQ46_spl
| ~ sQ123_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f4284,f1206]) ).
fof(f4550,plain,
( ~ sQ115_spl
| ~ sQ46_spl
| ~ sQ123_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f4284,f1510]) ).
fof(f4551,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f4284,f93]) ).
fof(f4552,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ123_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f4284,f91]) ).
fof(f4553,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ123_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f4284,f89]) ).
fof(f4554,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ123_spl
| product(e_5,X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4284,f95]) ).
fof(f4555,plain,
( ~ sQ61_spl
| ~ sQ46_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4549,f86]) ).
fof(f4556,plain,
( ~ sQ61_spl
| ~ sQ46_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f4555]) ).
fof(f4557,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4441,f77]) ).
fof(f4558,plain,
( ~ sQ81_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f4557]) ).
fof(f4566,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| ~ sQ1_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1694,f4325]) ).
fof(f4567,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| ~ sQ1_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f4566,f291,f105,f143,f262]) ).
fof(f4568,plain,
( ~ sQ13_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4285,f85]) ).
fof(f4569,plain,
( ~ sQ13_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f4568]) ).
fof(f4570,plain,
( ~ sQ120_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4539,f74]) ).
fof(f4571,plain,
( ~ sQ120_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f4570]) ).
fof(f4572,plain,
( ~ sQ117_spl
| ~ sQ46_spl
| ~ sQ123_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f4284,f1497]) ).
fof(f4577,plain,
( ~ sQ117_spl
| ~ sQ46_spl
| ~ sQ123_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f4572,f278,f519,f259,f500]) ).
fof(f4578,plain,
( ~ sQ111_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4474,f82]) ).
fof(f4579,plain,
( ~ sQ111_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f4578]) ).
fof(f4580,plain,
( ~ sQ115_spl
| ~ sQ46_spl
| ~ sQ123_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f4550,f272,f519,f259,f494]) ).
fof(f4588,plain,
( ~ sQ118_spl
| ~ sQ50_spl
| ~ sQ124_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f1406,f3553]) ).
fof(f4589,plain,
( ~ sQ118_spl
| ~ sQ50_spl
| ~ sQ70_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1127,f3553]) ).
fof(f4590,plain,
( ~ sQ118_spl
| ~ sQ50_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4589,f84]) ).
fof(f4591,plain,
( ~ sQ118_spl
| ~ sQ50_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f4590]) ).
fof(f4592,plain,
( ~ sQ13_spl
| ~ sQ115_spl
| ~ sQ96_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f4443,f2384]) ).
fof(f4593,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f4443,f93]) ).
fof(f4594,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ96_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f4443,f91]) ).
fof(f4595,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ96_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f4443,f89]) ).
fof(f4596,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ96_spl
| product(e_3,X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f4443,f95]) ).
fof(f4597,plain,
( ~ sQ13_spl
| ~ sQ115_spl
| ~ sQ96_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f4592,f229,f428,f494,f143]) ).
fof(f4599,plain,
( ~ sQ114_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f491,f1514]) ).
fof(f4600,plain,
( ~ sQ4_spl
| ~ sQ114_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f491,f603]) ).
fof(f4601,plain,
( ~ sQ98_spl
| ~ sQ114_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f491,f1224]) ).
fof(f4602,plain,
( ~ sQ114_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f491,f1513]) ).
fof(f4607,plain,
( ~ sQ4_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4600,f85]) ).
fof(f4608,plain,
( ~ sQ4_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f4607]) ).
fof(f4609,plain,
( ~ sQ98_spl
| ~ sQ114_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f4601,f455,f490,f434]) ).
fof(f4610,plain,
( ~ sQ0_spl
| ~ sQ32_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f4411,f134,f210,f102]) ).
fof(f4618,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ113_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1521,f2339]) ).
fof(f4619,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ113_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f4618,f111,f487,f210,f516]) ).
fof(f4624,plain,
( ~ sQ122_spl
| ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f3263,f3327]) ).
fof(f4625,plain,
( ~ sQ122_spl
| ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f3262,f3327]) ).
fof(f4629,plain,
( ~ sQ122_spl
| ~ sQ34_spl
| ~ sQ100_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1645,f3327]) ).
fof(f4630,plain,
( ~ sQ122_spl
| ~ sQ34_spl
| ~ sQ100_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f4629,f478,f446,f216,f516]) ).
fof(f4633,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f144,f990]) ).
fof(f4642,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f781]) ).
fof(f4649,plain,
( ~ sQ91_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f413,f3442]) ).
fof(f4651,plain,
( ~ sQ91_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f413,f3440]) ).
fof(f4652,plain,
( ~ sQ115_spl
| ~ sQ91_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f413,f1510]) ).
fof(f4657,plain,
( ~ sQ115_spl
| ~ sQ91_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f4652,f169,f412,f494]) ).
fof(f4658,plain,
( ~ sQ13_spl
| ~ sQ49_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f973,f144]) ).
fof(f4659,plain,
( ~ sQ13_spl
| ~ sQ49_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f4658,f336,f268,f143]) ).
fof(f4660,plain,
( ~ sQ13_spl
| ~ sQ46_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1009,f144]) ).
fof(f4661,plain,
( ~ sQ70_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f341,f1128]) ).
fof(f4662,plain,
( ~ sQ70_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f341,f1127]) ).
fof(f4663,plain,
( ~ sQ5_spl
| ~ sQ70_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f341,f597]) ).
fof(f4664,plain,
( ~ sQ26_spl
| ~ sQ70_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f341,f644]) ).
fof(f4665,plain,
( ~ sQ70_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f341,f1126]) ).
fof(f4670,plain,
( ~ sQ5_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4663,f81]) ).
fof(f4671,plain,
( ~ sQ5_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f4670]) ).
fof(f4672,plain,
( ~ sQ29_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4024,f67]) ).
fof(f4673,plain,
( ~ sQ29_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f4672]) ).
fof(f4674,plain,
( ~ sQ13_spl
| ~ sQ46_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f4660,f327,f259,f143]) ).
fof(f4676,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ118_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f4147,f61]) ).
fof(f4677,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ118_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f4147,f93]) ).
fof(f4678,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ118_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f4147,f91]) ).
fof(f4679,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f4147,f89]) ).
fof(f4680,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ118_spl
| product(e_1,X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f4147,f95]) ).
fof(f4686,plain,
( ~ sQ112_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f485,f1529]) ).
fof(f4687,plain,
( ~ sQ0_spl
| ~ sQ112_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f485,f1704]) ).
fof(f4693,plain,
( ~ sQ121_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f514,f1455]) ).
fof(f4702,plain,
( ~ sQ81_spl
| ~ sQ66_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f328,f1392]) ).
fof(f4703,plain,
( ~ sQ66_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f328,f1163]) ).
fof(f4704,plain,
( ~ sQ66_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f328,f1162]) ).
fof(f4705,plain,
( ~ sQ8_spl
| ~ sQ66_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f328,f570]) ).
fof(f4710,plain,
( ~ sQ81_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4702,f78]) ).
fof(f4711,plain,
( ~ sQ81_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f4710]) ).
fof(f4712,plain,
( ~ sQ111_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3852,f74]) ).
fof(f4713,plain,
( ~ sQ111_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f4712]) ).
fof(f4718,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4384,f4325]) ).
fof(f4719,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4383,f4325]) ).
fof(f4723,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| ~ sQ2_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1681,f4325]) ).
fof(f4724,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4723,f81]) ).
fof(f4725,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f4724]) ).
fof(f4726,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| ~ sQ4_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f606,f4325]) ).
fof(f4727,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| ~ sQ68_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1141,f4325]) ).
fof(f4728,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4727,f77]) ).
fof(f4729,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f4728]) ).
fof(f4730,plain,
( ~ sQ115_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f495,f1509]) ).
fof(f4731,plain,
( ~ sQ115_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f495,f1508]) ).
fof(f4733,plain,
( ~ sQ115_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f495,f1507]) ).
fof(f4738,plain,
( ~ sQ47_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f263,f997]) ).
fof(f4739,plain,
( ~ sQ87_spl
| ~ sQ47_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f263,f1337]) ).
fof(f4741,plain,
( ~ sQ47_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f263,f995]) ).
fof(f4742,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f263,f4385]) ).
fof(f4747,plain,
( ~ sQ87_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4739,f82]) ).
fof(f4748,plain,
( ~ sQ87_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f4747]) ).
fof(f4749,plain,
( ~ sQ108_spl
| ~ sQ93_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f4275,f349,f418,f471]) ).
fof(f4750,plain,
( ~ sQ115_spl
| ~ sQ29_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f614,f495]) ).
fof(f4751,plain,
( ~ sQ115_spl
| ~ sQ29_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f4750,f405,f197,f494]) ).
fof(f4752,plain,
( ~ sQ115_spl
| ~ sQ27_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f2194,f495]) ).
fof(f4753,plain,
( ~ sQ115_spl
| ~ sQ105_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1599,f495]) ).
fof(f4754,plain,
( ~ sQ115_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4753,f73]) ).
fof(f4755,plain,
( ~ sQ115_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f4754]) ).
fof(f4756,plain,
( ~ sQ102_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f453,f1632]) ).
fof(f4757,plain,
( ~ sQ122_spl
| ~ sQ102_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f453,f1446]) ).
fof(f4759,plain,
( ~ sQ114_spl
| ~ sQ102_spl
| product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f453,f1516]) ).
fof(f4760,plain,
( ~ sQ52_spl
| ~ sQ118_spl
| ~ sQ102_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f453,f2747]) ).
fof(f4761,plain,
( ~ sQ102_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f453,f1630]) ).
fof(f4766,plain,
( ~ sQ122_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4757,f83]) ).
fof(f4767,plain,
( ~ sQ122_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f4766]) ).
fof(f4768,plain,
( ~ sQ26_spl
| ~ sQ70_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f4664,f259,f340,f188]) ).
fof(f4769,plain,
( ~ sQ115_spl
| ~ sQ96_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f4443,f153,f428,f494]) ).
fof(f4770,plain,
( ~ sQ8_spl
| ~ sQ66_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f4705,f281,f327,f127]) ).
fof(f4771,plain,
( ~ sQ90_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f410,f1851]) ).
fof(f4773,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f410,f1849]) ).
fof(f4774,plain,
( ~ sQ124_spl
| ~ sQ90_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f410,f1406]) ).
fof(f4779,plain,
( ~ sQ124_spl
| ~ sQ90_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f4774,f232,f409,f522]) ).
fof(f4784,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f4430,f93]) ).
fof(f4785,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ101_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f4430,f91]) ).
fof(f4786,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f4430,f89]) ).
fof(f4787,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ101_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f4430,f95]) ).
fof(f4788,plain,
( ~ sQ90_spl
| ~ sQ123_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1415,f410]) ).
fof(f4790,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f2842,f2647]) ).
fof(f4791,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f217,f4396]) ).
fof(f4793,plain,
( ~ sQ98_spl
| ~ sQ34_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f217,f1224]) ).
fof(f4801,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ101_spl
| ~ sQ71_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f1121,f4430]) ).
fof(f4802,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ101_spl
| ~ sQ71_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f4801,f412,f343,f449,f268,f519]) ).
fof(f4810,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ110_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f1550,f2629]) ).
fof(f4811,plain,
( ~ sQ34_spl
| ~ sQ97_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1230,f217]) ).
fof(f4812,plain,
( ~ sQ34_spl
| ~ sQ97_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f4811,f516,f431,f216]) ).
fof(f4814,plain,
( ~ sQ34_spl
| ~ sQ4_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f603,f217]) ).
fof(f4815,plain,
( ~ sQ34_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4814,f68]) ).
fof(f4816,plain,
( ~ sQ34_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f4815]) ).
fof(f4817,plain,
( ~ sQ9_spl
| ~ sQ31_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f4224,f197,f207,f130]) ).
fof(f4822,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ110_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f4810,f93]) ).
fof(f4823,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ110_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f4810,f91]) ).
fof(f4824,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f4810,f89]) ).
fof(f4825,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ110_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f4810,f95]) ).
fof(f4829,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ110_spl
| ~ sQ76_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1065,f4810]) ).
fof(f4830,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ110_spl
| ~ sQ76_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f4829,f207,f359,f478,f262,f519]) ).
fof(f4844,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ114_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f3405,f2920]) ).
fof(f4846,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ114_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f3403,f2920]) ).
fof(f4847,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ114_spl
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f2730,f2920]) ).
fof(f4848,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ114_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f4847,f484,f490,f262,f519]) ).
fof(f4849,plain,
( ~ sQ44_spl
| ~ sQ25_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f4541,f232,f185,f248]) ).
fof(f4858,plain,
( ~ sQ48_spl
| ~ sQ123_spl
| ~ sQ109_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f1555,f2606]) ).
fof(f4859,plain,
( ~ sQ117_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f501,f1496]) ).
fof(f4860,plain,
( ~ sQ117_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f501,f1495]) ).
fof(f4861,plain,
( ~ sQ117_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f501,f1494]) ).
fof(f4862,plain,
( ~ sQ15_spl
| ~ sQ117_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f501,f750]) ).
fof(f4868,plain,
( ~ sQ44_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f249,f758]) ).
fof(f4869,plain,
( ~ sQ14_spl
| ~ sQ44_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f249,f527]) ).
fof(f4871,plain,
( ~ sQ85_spl
| ~ sQ44_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f249,f1350]) ).
fof(f4877,plain,
( ~ sQ14_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4869,f68]) ).
fof(f4878,plain,
( ~ sQ14_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f4877]) ).
fof(f4884,plain,
( ~ sQ46_spl
| ~ sQ123_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f4552,f4284]) ).
fof(f4885,plain,
( ~ sQ46_spl
| ~ sQ123_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4553,f4284]) ).
fof(f4887,plain,
( ~ sQ46_spl
| ~ sQ123_spl
| ~ sQ115_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1510,f4284]) ).
fof(f4888,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f1608]) ).
fof(f4889,plain,
( ~ sQ109_spl
| ~ sQ104_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f459,f1553]) ).
fof(f4890,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f1607]) ).
fof(f4891,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f1606]) ).
fof(f4897,plain,
( ~ sQ109_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4889,f86]) ).
fof(f4898,plain,
( ~ sQ109_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f4897]) ).
fof(f4901,plain,
( ~ sQ96_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1264,f72]) ).
fof(f4902,plain,
( ~ sQ96_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f4901]) ).
fof(f4903,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f176,f670]) ).
fof(f4904,plain,
( ~ sQ17_spl
| ~ sQ22_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f176,f721]) ).
fof(f4905,plain,
( ~ sQ22_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f176,f669]) ).
fof(f4906,plain,
( ~ sQ117_spl
| ~ sQ22_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f176,f1494]) ).
fof(f4907,plain,
( ~ sQ37_spl
| ~ sQ22_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f176,f817]) ).
fof(f4908,plain,
( ~ sQ22_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f176,f668]) ).
fof(f4909,plain,
( ~ sQ17_spl
| ~ sQ22_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f176,f723]) ).
fof(f4914,plain,
( ~ sQ17_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4904,f72]) ).
fof(f4915,plain,
( ~ sQ17_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f4914]) ).
fof(f4916,plain,
( ~ sQ37_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4907,f71]) ).
fof(f4917,plain,
( ~ sQ37_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f4916]) ).
fof(f4918,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f4633,f93]) ).
fof(f4919,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f4633,f91]) ).
fof(f4920,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f4633,f89]) ).
fof(f4921,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f4633,f95]) ).
fof(f4922,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ27_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f4752,f93]) ).
fof(f4923,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ27_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f4752,f91]) ).
fof(f4924,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f4752,f89]) ).
fof(f4925,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ27_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f4752,f95]) ).
fof(f4926,plain,
( ~ sQ115_spl
| ~ sQ27_spl
| ~ sQ111_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1544,f4752]) ).
fof(f4927,plain,
( ~ sQ115_spl
| ~ sQ27_spl
| ~ sQ111_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f4926,f137,f481,f191,f494]) ).
fof(f4929,plain,
( ~ sQ112_spl
| ~ sQ102_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f453,f1530]) ).
fof(f4930,plain,
( ~ sQ102_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f453,f1631]) ).
fof(f4931,plain,
( ~ sQ97_spl
| ~ sQ102_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f453,f1227]) ).
fof(f4932,plain,
( ~ sQ102_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f453,f1630]) ).
fof(f4933,plain,
( ~ sQ112_spl
| ~ sQ102_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f453,f1532]) ).
fof(f4938,plain,
( ~ sQ112_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4929,f85]) ).
fof(f4939,plain,
( ~ sQ112_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f4938]) ).
fof(f4944,plain,
( ~ sQ79_spl
| ~ sQ46_spl
| ~ sQ123_spl
| ~ sQ115_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f4887,f1032]) ).
fof(f4945,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ123_spl
| ~ sQ115_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f4887,f93]) ).
fof(f4946,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ123_spl
| ~ sQ115_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f4887,f91]) ).
fof(f4947,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ123_spl
| ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f4887,f89]) ).
fof(f4948,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ123_spl
| ~ sQ115_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f4887,f95]) ).
fof(f4949,plain,
( ~ sQ79_spl
| ~ sQ46_spl
| ~ sQ123_spl
| ~ sQ115_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f4944,f232,f494,f519,f259,f368]) ).
fof(f4953,plain,
( ~ sQ46_spl
| ~ sQ123_spl
| ~ sQ117_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1497,f4284]) ).
fof(f4954,plain,
( ~ sQ46_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f260,f1008]) ).
fof(f4955,plain,
( ~ sQ46_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f260,f1007]) ).
fof(f4956,plain,
( ~ sQ73_spl
| ~ sQ46_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f260,f1085]) ).
fof(f4957,plain,
( ~ sQ46_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f260,f1006]) ).
fof(f4962,plain,
( ~ sQ73_spl
| ~ sQ46_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f4956,f194,f259,f349]) ).
fof(f4963,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ44_spl
| ~ greater(e_1,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f4871,f61]) ).
fof(f4964,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f4871,f93]) ).
fof(f4965,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f4871,f91]) ).
fof(f4966,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f4871,f89]) ).
fof(f4967,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ44_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f4871,f95]) ).
fof(f4968,plain,
( ~ sQ85_spl
| ~ sQ44_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f760,f4871]) ).
fof(f4969,plain,
( ~ sQ85_spl
| ~ sQ44_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f4968,f405,f248,f393]) ).
fof(f4977,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ111_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1544,f2629]) ).
fof(f4979,plain,
( ~ sQ95_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f426,f1242]) ).
fof(f4980,plain,
( ~ sQ100_spl
| ~ sQ95_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f426,f1642]) ).
fof(f4981,plain,
( ~ sQ123_spl
| ~ sQ95_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f426,f1415]) ).
fof(f4982,plain,
( ~ sQ95_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f426,f1241]) ).
fof(f4987,plain,
( ~ sQ100_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4980,f78]) ).
fof(f4988,plain,
( ~ sQ100_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f4987]) ).
fof(f4989,plain,
( ~ sQ114_spl
| ~ sQ102_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f4759,f437,f452,f490]) ).
fof(f4990,plain,
( ~ sQ117_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4906,f74]) ).
fof(f4991,plain,
( ~ sQ117_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f4990]) ).
fof(f4992,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f189,f643]) ).
fof(f4993,plain,
( ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f189,f642]) ).
fof(f4994,plain,
( ~ sQ38_spl
| ~ sQ26_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f189,f812]) ).
fof(f4995,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f189,f641]) ).
fof(f5001,plain,
( ~ sQ38_spl
| ~ sQ26_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f4994,f178,f188,f229]) ).
fof(f5002,plain,
( ~ sQ123_spl
| ~ sQ95_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f4981,f213,f425,f519]) ).
fof(f5004,plain,
( ~ sQ79_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f369,f1030]) ).
fof(f5015,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ111_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f4977,f93]) ).
fof(f5016,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ111_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f4977,f91]) ).
fof(f5017,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f4977,f89]) ).
fof(f5018,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ111_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f4977,f95]) ).
fof(f5021,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ111_spl
| ~ sQ74_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f1078,f4977]) ).
fof(f5022,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ111_spl
| ~ sQ74_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f5021,f93]) ).
fof(f5023,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ111_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f5021,f91]) ).
fof(f5024,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ111_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f5021,f89]) ).
fof(f5025,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ111_spl
| ~ sQ74_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f5021,f95]) ).
fof(f5027,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ111_spl
| ~ sQ74_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f5022,f5021]) ).
fof(f5028,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ111_spl
| ~ sQ74_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f5023,f5021]) ).
fof(f5029,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ111_spl
| ~ sQ74_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f5024,f5021]) ).
fof(f5031,plain,
( ~ sQ79_spl
| ~ sQ88_spl
| product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f1332,f369]) ).
fof(f5032,plain,
( ~ sQ79_spl
| ~ sQ88_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f5031,f471,f402,f368]) ).
fof(f5033,plain,
( ~ sQ76_spl
| ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ110_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f4810,f1065]) ).
fof(f5042,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ110_spl
| ~ sQ60_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1212,f4810]) ).
fof(f5043,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ110_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5042,f77]) ).
fof(f5044,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ110_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f5043]) ).
fof(f5056,plain,
( ~ sQ9_spl
| ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f3662,f566]) ).
fof(f5057,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f3662,f93]) ).
fof(f5058,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f3662,f91]) ).
fof(f5059,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f3662,f89]) ).
fof(f5060,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| product(e_3,X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f3662,f95]) ).
fof(f5061,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f5056,f93]) ).
fof(f5062,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f5056,f91]) ).
fof(f5063,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f5056,f89]) ).
fof(f5064,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| product(e_3,X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f5056,f95]) ).
fof(f5066,plain,
( ~ sQ9_spl
| ~ sQ94_spl
| product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f1273,f131]) ).
fof(f5067,plain,
( ~ sQ9_spl
| ~ sQ94_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f5066,f490,f421,f130]) ).
fof(f5068,plain,
( ~ sQ115_spl
| ~ sQ27_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f4752,f399,f191,f494]) ).
fof(f5069,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ117_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f3368,f434,f500,f229,f137]) ).
fof(f5070,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f4788,f93]) ).
fof(f5071,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ123_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f4788,f91]) ).
fof(f5072,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f4788,f89]) ).
fof(f5073,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ123_spl
| product(e_2,X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f4788,f95]) ).
fof(f5082,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ123_spl
| ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f4953,f93]) ).
fof(f5083,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ123_spl
| ~ sQ117_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f4953,f91]) ).
fof(f5084,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ123_spl
| ~ sQ117_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f4953,f89]) ).
fof(f5085,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ123_spl
| ~ sQ117_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f4953,f95]) ).
fof(f5088,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2979,f2826]) ).
fof(f5089,plain,
( ~ sQ46_spl
| ~ sQ123_spl
| ~ sQ117_spl
| ~ sQ65_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1173,f4953]) ).
fof(f5090,plain,
( ~ sQ46_spl
| ~ sQ123_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f4551,f4284]) ).
fof(f5091,plain,
( ~ sQ46_spl
| ~ sQ123_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f4552,f4284]) ).
fof(f5092,plain,
( ~ sQ46_spl
| ~ sQ123_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4553,f4284]) ).
fof(f5094,plain,
( ~ sQ90_spl
| ~ sQ123_spl
| ~ sQ52_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f957,f4788]) ).
fof(f5095,plain,
( ~ sQ11_spl
| ~ sQ38_spl
| ~ sQ59_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f897,f2826]) ).
fof(f5099,plain,
( ~ sQ46_spl
| ~ sQ123_spl
| ~ sQ117_spl
| ~ sQ52_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f954,f4953]) ).
fof(f5100,plain,
( ~ sQ46_spl
| ~ sQ123_spl
| ~ sQ117_spl
| ~ sQ52_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f955,f4953]) ).
fof(f5101,plain,
( ~ sQ46_spl
| ~ sQ123_spl
| ~ sQ117_spl
| ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f956,f4953]) ).
fof(f5111,plain,
( ~ sQ11_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f138,f554]) ).
fof(f5113,plain,
( ~ sQ11_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f138,f552]) ).
fof(f5120,plain,
( ~ sQ65_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f325,f1172]) ).
fof(f5121,plain,
( ~ sQ65_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f325,f1171]) ).
fof(f5122,plain,
( ~ sQ0_spl
| ~ sQ65_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f325,f1701]) ).
fof(f5123,plain,
( ~ sQ65_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f325,f1170]) ).
fof(f5124,plain,
( ~ sQ11_spl
| ~ sQ65_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f325,f555]) ).
fof(f5129,plain,
( ~ sQ0_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5122,f81]) ).
fof(f5130,plain,
( ~ sQ0_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f5129]) ).
fof(f5135,plain,
( ~ sQ73_spl
| ~ sQ106_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3295,f1742]) ).
fof(f5136,plain,
( ~ sQ73_spl
| ~ sQ106_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f3294,f1742]) ).
fof(f5137,plain,
( ~ sQ73_spl
| ~ sQ106_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f3293,f1742]) ).
fof(f5138,plain,
( ~ sQ73_spl
| ~ sQ106_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f1748,f1742]) ).
fof(f5139,plain,
( ~ sQ73_spl
| ~ sQ106_spl
| ~ sQ83_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1377,f1742]) ).
fof(f5140,plain,
( ~ sQ73_spl
| ~ sQ106_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5139,f73]) ).
fof(f5141,plain,
( ~ sQ73_spl
| ~ sQ106_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f5140]) ).
fof(f5142,plain,
( ~ sQ73_spl
| ~ sQ106_spl
| ~ sQ28_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f621,f1742]) ).
fof(f5143,plain,
( ~ sQ73_spl
| ~ sQ106_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5142,f83]) ).
fof(f5144,plain,
( ~ sQ73_spl
| ~ sQ106_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f5143]) ).
fof(f5145,plain,
( ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f119,f599]) ).
fof(f5146,plain,
( ~ sQ5_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f119,f598]) ).
fof(f5147,plain,
( ~ sQ35_spl
| ~ sQ5_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f119,f837]) ).
fof(f5148,plain,
( ~ sQ28_spl
| ~ sQ5_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f119,f623]) ).
fof(f5149,plain,
( ~ sQ5_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f119,f597]) ).
fof(f5154,plain,
( ~ sQ35_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5147,f75]) ).
fof(f5155,plain,
( ~ sQ35_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f5154]) ).
fof(f5157,plain,
( ~ sQ122_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f517,f1446]) ).
fof(f5159,plain,
( ~ sQ31_spl
| ~ sQ122_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f517,f873]) ).
fof(f5167,plain,
( ~ sQ51_spl
| ~ sQ118_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f504,f965]) ).
fof(f5168,plain,
( ~ sQ73_spl
| ~ sQ118_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f504,f1082]) ).
fof(f5169,plain,
( ~ sQ118_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f504,f2524]) ).
fof(f5174,plain,
( ~ sQ51_spl
| ~ sQ118_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f5167,f380,f503,f275]) ).
fof(f5175,plain,
( ~ sQ73_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5168,f86]) ).
fof(f5176,plain,
( ~ sQ73_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f5175]) ).
fof(f5188,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f5059,f3662]) ).
fof(f5192,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| ~ sQ8_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f570,f3662]) ).
fof(f5193,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| ~ sQ8_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f5192,f162,f127,f481,f210,f516]) ).
fof(f5195,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| ~ sQ11_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f553,f3662]) ).
fof(f5196,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5195,f75]) ).
fof(f5197,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| ~ sQ111_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f5196]) ).
fof(f5198,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ90_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f4463,f93]) ).
fof(f5199,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f4463,f91]) ).
fof(f5200,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f4463,f89]) ).
fof(f5201,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ90_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f4463,f95]) ).
fof(f5202,plain,
( ~ sQ121_spl
| ~ sQ90_spl
| ~ sQ23_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f2706,f4463]) ).
fof(f5203,plain,
( ~ sQ121_spl
| ~ sQ90_spl
| ~ sQ36_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f827,f4463]) ).
fof(f5206,plain,
( ~ sQ28_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f195,f622]) ).
fof(f5207,plain,
( ~ sQ23_spl
| ~ sQ28_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f195,f2704]) ).
fof(f5208,plain,
( ~ sQ28_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f195,f621]) ).
fof(f5209,plain,
( ~ sQ47_spl
| ~ sQ28_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f195,f998]) ).
fof(f5210,plain,
( ~ sQ28_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f195,f620]) ).
fof(f5216,plain,
( ~ sQ23_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5207,f67]) ).
fof(f5217,plain,
( ~ sQ23_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f5216]) ).
fof(f5218,plain,
( ~ sQ47_spl
| ~ sQ28_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f5209,f346,f194,f262]) ).
fof(f5219,plain,
( sQ36_spl
| ~ sQ121_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f225,f4463]) ).
fof(f5220,plain,
( sQ36_spl
| ~ sQ121_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f5219]) ).
fof(f5221,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f4453,f93]) ).
fof(f5222,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ75_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f4453,f91]) ).
fof(f5223,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ75_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f4453,f89]) ).
fof(f5224,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ75_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f4453,f95]) ).
fof(f5225,plain,
( ~ sQ28_spl
| ~ sQ46_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f1009,f195]) ).
fof(f5226,plain,
( ~ sQ28_spl
| ~ sQ46_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f5225,f343,f259,f194]) ).
fof(f5227,plain,
( ~ sQ28_spl
| ~ sQ49_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f973,f195]) ).
fof(f5228,plain,
( ~ sQ28_spl
| ~ sQ49_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f5227,f352,f268,f194]) ).
fof(f5229,plain,
( ~ sQ28_spl
| ~ sQ45_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1016,f195]) ).
fof(f5230,plain,
( ~ sQ115_spl
| ~ sQ28_spl
| ~ sQ45_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f5229,f1507]) ).
fof(f5231,plain,
( ~ sQ28_spl
| ~ sQ45_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f5229,f623]) ).
fof(f5232,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ45_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f5229,f93]) ).
fof(f5233,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f5229,f91]) ).
fof(f5234,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f5229,f89]) ).
fof(f5235,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ45_spl
| product(e_2,X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f5229,f95]) ).
fof(f5236,plain,
( ~ sQ115_spl
| ~ sQ28_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5230,f82]) ).
fof(f5237,plain,
( ~ sQ115_spl
| ~ sQ28_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f5236]) ).
fof(f5238,plain,
( ~ sQ28_spl
| ~ sQ47_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f998,f195]) ).
fof(f5239,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f1608]) ).
fof(f5240,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f1607]) ).
fof(f5241,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f1606]) ).
fof(f5247,plain,
( ~ sQ115_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f495,f1509]) ).
fof(f5248,plain,
( ~ sQ115_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f495,f1508]) ).
fof(f5249,plain,
( ~ sQ115_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f495,f1507]) ).
fof(f5250,plain,
( ~ sQ28_spl
| ~ sQ115_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f495,f623]) ).
fof(f5255,plain,
( ~ sQ108_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f472,f1582]) ).
fof(f5256,plain,
( ~ sQ108_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f472,f1581]) ).
fof(f5257,plain,
( ~ sQ60_spl
| ~ sQ108_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f472,f1215]) ).
fof(f5258,plain,
( ~ sQ108_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f472,f1580]) ).
fof(f5263,plain,
( ~ sQ60_spl
| ~ sQ108_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f5257,f377,f471,f308]) ).
fof(f5264,plain,
( ~ sQ108_spl
| ~ sQ62_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1200,f472]) ).
fof(f5265,plain,
( ~ sQ108_spl
| ~ sQ62_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f5264,f383,f314,f471]) ).
fof(f5266,plain,
( ~ sQ28_spl
| ~ sQ46_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f1009,f195]) ).
fof(f5267,plain,
( ~ sQ88_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f403,f1331]) ).
fof(f5268,plain,
( ~ sQ88_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f403,f1330]) ).
fof(f5269,plain,
( ~ sQ88_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f403,f1329]) ).
fof(f5270,plain,
( ~ sQ108_spl
| ~ sQ88_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f403,f1583]) ).
fof(f5275,plain,
( ~ sQ108_spl
| ~ sQ88_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f5270,f365,f402,f471]) ).
fof(f5276,plain,
( ~ sQ88_spl
| ~ sQ107_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f1588,f403]) ).
fof(f5277,plain,
( ~ sQ88_spl
| ~ sQ107_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f5276,f362,f468,f402]) ).
fof(f5278,plain,
( ~ sQ46_spl
| ~ sQ6_spl
| ~ sQ66_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f4475,f1006]) ).
fof(f5279,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f4475,f93]) ).
fof(f5280,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ66_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f4475,f91]) ).
fof(f5281,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f4475,f89]) ).
fof(f5282,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ66_spl
| product(e_4,X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f4475,f95]) ).
fof(f5283,plain,
( ~ sQ46_spl
| ~ sQ6_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5278,f71]) ).
fof(f5284,plain,
( ~ sQ46_spl
| ~ sQ6_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f5283]) ).
fof(f5285,plain,
( ~ sQ115_spl
| ~ sQ25_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f4546,f495]) ).
fof(f5286,plain,
( ~ sQ115_spl
| ~ sQ25_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f5285,f393,f185,f494]) ).
fof(f5287,plain,
( ~ sQ115_spl
| ~ sQ28_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f623,f495]) ).
fof(f5289,plain,
( ~ sQ121_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f514,f1455]) ).
fof(f5290,plain,
( ~ sQ37_spl
| ~ sQ121_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f514,f820]) ).
fof(f5297,plain,
( ~ sQ121_spl
| ~ sQ41_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f776,f514]) ).
fof(f5298,plain,
( ~ sQ121_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5297,f83]) ).
fof(f5299,plain,
( ~ sQ121_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f5298]) ).
fof(f5300,plain,
( ~ sQ52_spl
| ~ sQ118_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4760,f86]) ).
fof(f5301,plain,
( ~ sQ52_spl
| ~ sQ118_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f5300]) ).
fof(f5309,plain,
( ~ sQ53_spl
| ~ sQ118_spl
| ~ sQ107_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f1588,f3623]) ).
fof(f5310,plain,
( ~ sQ69_spl
| ~ sQ53_spl
| ~ sQ118_spl
| ~ sQ107_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f5309,f1134]) ).
fof(f5311,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ118_spl
| ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f5309,f93]) ).
fof(f5312,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ118_spl
| ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f5309,f91]) ).
fof(f5313,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ118_spl
| ~ sQ107_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f5309,f89]) ).
fof(f5314,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ118_spl
| ~ sQ107_spl
| product(e_4,X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f5309,f95]) ).
fof(f5315,plain,
( ~ sQ69_spl
| ~ sQ53_spl
| ~ sQ118_spl
| ~ sQ107_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f5310,f300,f468,f503,f281,f336]) ).
fof(f5318,plain,
( ~ sQ53_spl
| ~ sQ118_spl
| ~ sQ107_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f5313,f5309]) ).
fof(f5319,plain,
( ~ sQ53_spl
| ~ sQ118_spl
| ~ sQ93_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1275,f3623]) ).
fof(f5320,plain,
( ~ sQ53_spl
| ~ sQ118_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5319,f80]) ).
fof(f5321,plain,
( ~ sQ53_spl
| ~ sQ118_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f5320]) ).
fof(f5322,plain,
( ~ sQ37_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f227,f819]) ).
fof(f5323,plain,
( ~ sQ87_spl
| ~ sQ37_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f227,f1337]) ).
fof(f5324,plain,
( ~ sQ37_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f227,f818]) ).
fof(f5325,plain,
( ~ sQ72_spl
| ~ sQ37_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f227,f1093]) ).
fof(f5326,plain,
( ~ sQ19_spl
| ~ sQ37_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f227,f692]) ).
fof(f5327,plain,
( ~ sQ37_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f227,f817]) ).
fof(f5332,plain,
( ~ sQ87_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5323,f74]) ).
fof(f5333,plain,
( ~ sQ87_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f5332]) ).
fof(f5334,plain,
( ~ sQ0_spl
| ~ sQ112_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f4687,f425,f484,f102]) ).
fof(f5345,plain,
( ~ sQ50_spl
| ~ sQ118_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f504,f969]) ).
fof(f5351,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f198,f613]) ).
fof(f5353,plain,
( ~ sQ88_spl
| ~ sQ29_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f198,f1332]) ).
fof(f5354,plain,
( ~ sQ29_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f198,f611]) ).
fof(f5360,plain,
( ~ sQ0_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f103,f1703]) ).
fof(f5361,plain,
( ~ sQ0_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f103,f1702]) ).
fof(f5362,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f103,f2384]) ).
fof(f5363,plain,
( ~ sQ0_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f103,f1701]) ).
fof(f5368,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f5362,f213,f102,f143]) ).
fof(f5369,plain,
( ~ sQ29_spl
| ~ sQ85_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1350,f198]) ).
fof(f5370,plain,
( ~ sQ29_spl
| ~ sQ85_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f5369,f494,f393,f197]) ).
fof(f5371,plain,
( ~ sQ28_spl
| ~ sQ45_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f5229,f340,f256,f194]) ).
fof(f5372,plain,
( ~ sQ28_spl
| ~ sQ45_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f5231,f265,f256,f194]) ).
fof(f5373,plain,
( ~ sQ97_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4931,f85]) ).
fof(f5374,plain,
( ~ sQ97_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f5373]) ).
fof(f5375,plain,
( ~ sQ72_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5325,f69]) ).
fof(f5376,plain,
( ~ sQ72_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f5375]) ).
fof(f5377,plain,
( ~ sQ118_spl
| ~ sQ54_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f923,f504]) ).
fof(f5378,plain,
( ~ sQ104_spl
| ~ sQ118_spl
| ~ sQ54_spl
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f5377,f1609]) ).
fof(f5379,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ54_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f5377,f93]) ).
fof(f5380,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f5377,f91]) ).
fof(f5381,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f5377,f89]) ).
fof(f5382,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ54_spl
| product(e_5,X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f5377,f95]) ).
fof(f5383,plain,
( ~ sQ104_spl
| ~ sQ118_spl
| ~ sQ54_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f5378,f474,f284,f503,f458]) ).
fof(f5384,plain,
( ~ sQ98_spl
| ~ sQ34_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f4793,f519,f216,f434]) ).
fof(f5388,plain,
( ~ sQ118_spl
| ~ sQ54_spl
| ~ sQ102_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1633,f5377]) ).
fof(f5389,plain,
( ~ sQ118_spl
| ~ sQ54_spl
| ~ sQ102_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f5388,f468,f452,f284,f503]) ).
fof(f5391,plain,
( ~ sQ118_spl
| ~ sQ38_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f809,f504]) ).
fof(f5392,plain,
( ~ sQ118_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5391,f83]) ).
fof(f5393,plain,
( ~ sQ118_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f5392]) ).
fof(f5395,plain,
( ~ sQ121_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f514,f1455]) ).
fof(f5396,plain,
( ~ sQ26_spl
| ~ sQ121_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f514,f641]) ).
fof(f5397,plain,
( ~ sQ121_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f514,f1454]) ).
fof(f5398,plain,
( ~ sQ36_spl
| ~ sQ121_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f514,f830]) ).
fof(f5404,plain,
( ~ sQ26_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5396,f84]) ).
fof(f5405,plain,
( ~ sQ26_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f5404]) ).
fof(f5406,plain,
( ~ sQ8_spl
| ~ sQ31_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f887,f57]) ).
fof(f5407,plain,
( ~ sQ8_spl
| ~ sQ31_spl
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f887,f55]) ).
fof(f5408,plain,
( ~ sQ8_spl
| ~ sQ31_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f887,f52]) ).
fof(f5409,plain,
( ~ sQ8_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5406,f47]) ).
fof(f5410,plain,
( ~ sQ8_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f5409]) ).
fof(f5411,plain,
( ~ sQ28_spl
| ~ sQ35_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f4487,f245,f220,f194]) ).
fof(f5412,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ46_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f5266,f93]) ).
fof(f5413,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f5266,f91]) ).
fof(f5414,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f5266,f89]) ).
fof(f5415,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ46_spl
| product(e_2,X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f5266,f95]) ).
fof(f5428,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ37_spl
| ~ greater(e_5,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f5326,f61]) ).
fof(f5429,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f5326,f93]) ).
fof(f5430,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ37_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f5326,f91]) ).
fof(f5431,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ37_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f5326,f89]) ).
fof(f5432,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ37_spl
| product(e_1,X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f5326,f95]) ).
fof(f5433,plain,
( ~ sQ86_spl
| ~ sQ118_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f4676,f57]) ).
fof(f5434,plain,
( ~ sQ86_spl
| ~ sQ118_spl
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f4676,f55]) ).
fof(f5435,plain,
( ~ sQ86_spl
| ~ sQ118_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f4676,f52]) ).
fof(f5436,plain,
( ~ sQ86_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5433,f47]) ).
fof(f5437,plain,
( ~ sQ86_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f5436]) ).
fof(f5438,plain,
( ~ sQ88_spl
| ~ sQ29_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f5353,f503,f197,f402]) ).
fof(f5440,plain,
( ~ sQ20_spl
| ~ sQ28_spl
| ~ sQ46_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f5266,f2397]) ).
fof(f5449,plain,
( ~ sQ19_spl
| ~ sQ37_spl
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f5428,f59]) ).
fof(f5450,plain,
( ~ sQ19_spl
| ~ sQ37_spl
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f5428,f58]) ).
fof(f5451,plain,
( ~ sQ19_spl
| ~ sQ37_spl
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f5428,f56]) ).
fof(f5452,plain,
( ~ sQ19_spl
| ~ sQ37_spl
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f5428,f53]) ).
fof(f5453,plain,
( ~ sQ19_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5449,f48]) ).
fof(f5454,plain,
( ~ sQ19_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f5453]) ).
fof(f5455,plain,
( ~ sQ36_spl
| ~ sQ121_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f5398,f412,f513,f223]) ).
fof(f5468,plain,
( ~ sQ33_spl
| ~ sQ122_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f3289,f3310]) ).
fof(f5471,plain,
( ~ sQ28_spl
| ~ sQ46_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f5414,f5266]) ).
fof(f5472,plain,
( ~ sQ28_spl
| ~ sQ46_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f5413,f5266]) ).
fof(f5473,plain,
( ~ sQ28_spl
| ~ sQ46_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f5412,f5266]) ).
fof(f5474,plain,
( ~ sQ118_spl
| ~ sQ54_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f5379,f5377]) ).
fof(f5475,plain,
( ~ sQ118_spl
| ~ sQ54_spl
| ~ sQ101_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1638,f5377]) ).
fof(f5476,plain,
( ~ sQ118_spl
| ~ sQ54_spl
| ~ sQ101_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f5475,f465,f449,f284,f503]) ).
fof(f5477,plain,
( ~ sQ28_spl
| ~ sQ46_spl
| ~ sQ24_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f661,f5266]) ).
fof(f5478,plain,
( ~ sQ28_spl
| ~ sQ46_spl
| ~ sQ24_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f5477,f284,f181,f259,f194]) ).
fof(f5479,plain,
( ~ sQ118_spl
| ~ sQ31_spl
| ~ sQ122_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f5159,f2527]) ).
fof(f5480,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f5159,f93]) ).
fof(f5481,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ122_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f5159,f91]) ).
fof(f5482,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ122_spl
| equalish(X0,e_2)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f5159,f89]) ).
fof(f5483,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ122_spl
| product(e_5,X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f5159,f95]) ).
fof(f5484,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ43_spl
| ~ greater(e_1,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f3094,f61]) ).
fof(f5485,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f3094,f93]) ).
fof(f5486,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ43_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f3094,f91]) ).
fof(f5487,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ43_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f3094,f89]) ).
fof(f5488,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ43_spl
| product(e_1,X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f3094,f95]) ).
fof(f5489,plain,
( ~ sQ45_spl
| ~ sQ43_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f765,f3094]) ).
fof(f5490,plain,
( ~ sQ31_spl
| ~ sQ122_spl
| ~ sQ101_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1635,f5159]) ).
fof(f5491,plain,
( ~ sQ31_spl
| ~ sQ122_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5490,f78]) ).
fof(f5492,plain,
( ~ sQ31_spl
| ~ sQ122_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f5491]) ).
fof(f5493,plain,
( ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ75_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1071,f3094]) ).
fof(f5494,plain,
( ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1072,f3094]) ).
fof(f5495,plain,
( ~ sQ45_spl
| ~ sQ43_spl
| ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1073,f3094]) ).
fof(f5498,plain,
( ~ sQ31_spl
| ~ sQ122_spl
| ~ sQ96_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4446,f5159]) ).
fof(f5499,plain,
( ~ sQ14_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f147,f529]) ).
fof(f5500,plain,
( ~ sQ14_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f147,f528]) ).
fof(f5501,plain,
( ~ sQ14_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f147,f527]) ).
fof(f5502,plain,
( ~ sQ87_spl
| ~ sQ14_spl
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f147,f1339]) ).
fof(f5508,plain,
( ~ sQ87_spl
| ~ sQ14_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f5502,f484,f146,f399]) ).
fof(f5509,plain,
( ~ sQ118_spl
| ~ sQ31_spl
| ~ sQ122_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f5479,f162,f516,f207,f503]) ).
fof(f5510,plain,
( ~ sQ14_spl
| ~ sQ88_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1332,f147]) ).
fof(f5511,plain,
( ~ sQ14_spl
| ~ sQ88_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f5510,f487,f402,f146]) ).
fof(f5512,plain,
( ~ sQ28_spl
| ~ sQ5_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f5148,f213,f118,f194]) ).
fof(f5513,plain,
( ~ sQ47_spl
| ~ sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f4742,f140,f143,f262]) ).
fof(f5514,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f163,f713]) ).
fof(f5515,plain,
( ~ sQ28_spl
| ~ sQ18_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f163,f621]) ).
fof(f5516,plain,
( ~ sQ18_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f163,f712]) ).
fof(f5517,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f163,f711]) ).
fof(f5518,plain,
( ~ sQ57_spl
| ~ sQ18_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f163,f908]) ).
fof(f5523,plain,
( ~ sQ28_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5515,f75]) ).
fof(f5524,plain,
( ~ sQ28_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f5523]) ).
fof(f5532,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| ~ sQ56_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f912,f4633]) ).
fof(f5533,plain,
( ~ sQ80_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f378,f1397]) ).
fof(f5534,plain,
( ~ sQ80_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f378,f1396]) ).
fof(f5535,plain,
( ~ sQ124_spl
| ~ sQ80_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f378,f1406]) ).
fof(f5536,plain,
( ~ sQ80_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f378,f1395]) ).
fof(f5541,plain,
( ~ sQ124_spl
| ~ sQ80_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f5535,f268,f377,f522]) ).
fof(f5543,plain,
( ~ sQ48_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f266,f988]) ).
fof(f5544,plain,
( ~ sQ61_spl
| ~ sQ48_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f266,f1208]) ).
fof(f5545,plain,
( ~ sQ48_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f266,f987]) ).
fof(f5550,plain,
( ~ sQ61_spl
| ~ sQ48_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f5544,f359,f265,f311]) ).
fof(f5551,plain,
( ~ sQ48_spl
| ~ sQ63_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f1191,f266]) ).
fof(f5552,plain,
( ~ sQ48_spl
| ~ sQ63_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f5551,f365,f317,f265]) ).
fof(f5553,plain,
( ~ sQ48_spl
| ~ sQ64_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f1183,f266]) ).
fof(f5554,plain,
( ~ sQ48_spl
| ~ sQ64_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f5553,f368,f320,f265]) ).
fof(f5555,plain,
( ~ sQ48_spl
| ~ sQ62_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f1200,f266]) ).
fof(f5556,plain,
( ~ sQ48_spl
| ~ sQ62_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f5555,f362,f314,f265]) ).
fof(f5557,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f189,f643]) ).
fof(f5558,plain,
( ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f189,f642]) ).
fof(f5559,plain,
( ~ sQ35_spl
| ~ sQ26_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f189,f840]) ).
fof(f5560,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f189,f641]) ).
fof(f5566,plain,
( ~ sQ35_spl
| ~ sQ26_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f5559,f169,f188,f220]) ).
fof(f5574,plain,
( ~ sQ123_spl
| ~ sQ49_spl
| ~ sQ101_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1638,f2647]) ).
fof(f5575,plain,
( ~ sQ106_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f466,f1747]) ).
fof(f5576,plain,
( ~ sQ101_spl
| ~ sQ106_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f466,f1636]) ).
fof(f5577,plain,
( ~ sQ106_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f466,f1746]) ).
fof(f5578,plain,
( ~ sQ72_spl
| ~ sQ106_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f466,f1096]) ).
fof(f5579,plain,
( ~ sQ106_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f466,f1745]) ).
fof(f5584,plain,
( ~ sQ101_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5576,f82]) ).
fof(f5585,plain,
( ~ sQ101_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f5584]) ).
fof(f5586,plain,
( ~ sQ15_spl
| ~ sQ117_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f4862,f425,f500,f153]) ).
fof(f5587,plain,
( ~ sQ28_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f195,f622]) ).
fof(f5588,plain,
( ~ sQ28_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f195,f621]) ).
fof(f5589,plain,
( ~ sQ43_spl
| ~ sQ28_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f195,f762]) ).
fof(f5590,plain,
( ~ sQ28_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f195,f620]) ).
fof(f5591,plain,
( ~ sQ49_spl
| ~ sQ28_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f195,f973]) ).
fof(f5597,plain,
( ~ sQ43_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5589,f71]) ).
fof(f5598,plain,
( ~ sQ43_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f5597]) ).
fof(f5600,plain,
( ~ sQ121_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f514,f1455]) ).
fof(f5601,plain,
( ~ sQ38_spl
| ~ sQ121_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f514,f812]) ).
fof(f5608,plain,
( ~ sQ79_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f369,f1031]) ).
fof(f5609,plain,
( ~ sQ79_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f369,f1030]) ).
fof(f5611,plain,
( ~ sQ87_spl
| ~ sQ79_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f369,f1339]) ).
fof(f5617,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f217,f4396]) ).
fof(f5619,plain,
( ~ sQ96_spl
| ~ sQ34_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f217,f4447]) ).
fof(f5620,plain,
( ~ sQ34_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f217,f4394]) ).
fof(f5625,plain,
( ~ sQ107_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f469,f1587]) ).
fof(f5626,plain,
( ~ sQ112_spl
| ~ sQ107_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f469,f1530]) ).
fof(f5627,plain,
( ~ sQ107_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f469,f1586]) ).
fof(f5628,plain,
( ~ sQ107_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f469,f1585]) ).
fof(f5629,plain,
( ~ sQ68_spl
| ~ sQ107_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f469,f1142]) ).
fof(f5634,plain,
( ~ sQ112_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5626,f81]) ).
fof(f5635,plain,
( ~ sQ112_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f5634]) ).
fof(f5636,plain,
( ~ sQ68_spl
| ~ sQ107_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f5629,f434,f468,f333]) ).
fof(f5637,plain,
( ~ sQ106_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4519,f78]) ).
fof(f5638,plain,
( ~ sQ106_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f5637]) ).
fof(f5639,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ121_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f5601,f93]) ).
fof(f5640,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ121_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f5601,f91]) ).
fof(f5641,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ121_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f5601,f89]) ).
fof(f5642,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ121_spl
| product(e_5,X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f5601,f95]) ).
fof(f5643,plain,
( ~ sQ87_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f400,f1338]) ).
fof(f5645,plain,
( ~ sQ87_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f400,f1336]) ).
fof(f5650,plain,
( ~ sQ38_spl
| ~ sQ121_spl
| ~ sQ107_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f1588,f5601]) ).
fof(f5651,plain,
( ~ sQ87_spl
| ~ sQ113_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1521,f400]) ).
fof(f5652,plain,
( ~ sQ34_spl
| ~ sQ96_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f4447,f217]) ).
fof(f5653,plain,
( ~ sQ38_spl
| ~ sQ121_spl
| ~ sQ93_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1276,f5601]) ).
fof(f5654,plain,
( ~ sQ38_spl
| ~ sQ121_spl
| ~ sQ93_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1275,f5601]) ).
fof(f5655,plain,
( ~ sQ38_spl
| ~ sQ121_spl
| ~ sQ93_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1277,f5601]) ).
fof(f5656,plain,
( ~ sQ38_spl
| ~ sQ121_spl
| ~ sQ53_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f939,f5601]) ).
fof(f5657,plain,
( ~ sQ38_spl
| ~ sQ121_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5656,f86]) ).
fof(f5658,plain,
( ~ sQ38_spl
| ~ sQ121_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f5657]) ).
fof(f5659,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f783]) ).
fof(f5660,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f782]) ).
fof(f5661,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f781]) ).
fof(f5668,plain,
( ~ sQ87_spl
| ~ sQ82_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1383,f400]) ).
fof(f5669,plain,
( ~ sQ87_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5668,f69]) ).
fof(f5670,plain,
( ~ sQ87_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f5669]) ).
fof(f5671,plain,
( ~ sQ82_spl
| ~ sQ72_spl
| ~ sQ106_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f5578,f1383]) ).
fof(f5672,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f5578,f93]) ).
fof(f5673,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ106_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f5578,f91]) ).
fof(f5674,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ106_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f5578,f89]) ).
fof(f5675,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ106_spl
| product(e_5,X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f5578,f95]) ).
fof(f5676,plain,
( ~ sQ82_spl
| ~ sQ72_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5671,f73]) ).
fof(f5677,plain,
( ~ sQ82_spl
| ~ sQ72_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f5676]) ).
fof(f5682,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ50_spl
| ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4588,f93]) ).
fof(f5683,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ50_spl
| ~ sQ124_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f4588,f91]) ).
fof(f5684,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ50_spl
| ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f4588,f89]) ).
fof(f5685,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ50_spl
| ~ sQ124_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f4588,f95]) ).
fof(f5686,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f5591,f93]) ).
fof(f5687,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ28_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f5591,f91]) ).
fof(f5688,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ28_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f5591,f89]) ).
fof(f5689,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ28_spl
| product(e_2,X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f5591,f95]) ).
fof(f5690,plain,
( ~ sQ50_spl
| ~ sQ118_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4306,f5345]) ).
fof(f5692,plain,
( ~ sQ50_spl
| ~ sQ118_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f4304,f5345]) ).
fof(f5693,plain,
( ~ sQ49_spl
| ~ sQ28_spl
| ~ sQ94_spl
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f1273,f5591]) ).
fof(f5694,plain,
( ~ sQ49_spl
| ~ sQ28_spl
| ~ sQ94_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f5693,f474,f421,f194,f268]) ).
fof(f5696,plain,
( ~ sQ118_spl
| ~ sQ50_spl
| ~ sQ124_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f4307,f4588]) ).
fof(f5697,plain,
( ~ sQ118_spl
| ~ sQ50_spl
| ~ sQ124_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f5696,f510,f522,f272,f503]) ).
fof(f5698,plain,
( ~ sQ118_spl
| ~ sQ54_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f5377,f389,f284,f503]) ).
fof(f5703,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ123_spl
| ~ sQ109_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f4858,f93]) ).
fof(f5704,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ123_spl
| ~ sQ109_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f4858,f91]) ).
fof(f5705,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ123_spl
| ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f4858,f89]) ).
fof(f5706,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ123_spl
| ~ sQ109_spl
| product(e_4,X0,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f4858,f95]) ).
fof(f5711,plain,
( ~ sQ48_spl
| ~ sQ123_spl
| ~ sQ109_spl
| product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f2952,f4858]) ).
fof(f5712,plain,
( ~ sQ48_spl
| ~ sQ123_spl
| ~ sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f5711,f471,f474,f519,f265]) ).
fof(f5725,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ110_spl
| ~ sQ79_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f1032,f4810]) ).
fof(f5738,plain,
( ~ sQ79_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f369,f1031]) ).
fof(f5739,plain,
( ~ sQ79_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f369,f1030]) ).
fof(f5740,plain,
( ~ sQ79_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f369,f1029]) ).
fof(f5741,plain,
( ~ sQ86_spl
| ~ sQ79_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f369,f1346]) ).
fof(f5747,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f163,f713]) ).
fof(f5748,plain,
( ~ sQ18_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f163,f712]) ).
fof(f5749,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f163,f711]) ).
fof(f5750,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ110_spl
| ~ sQ18_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f163,f4825]) ).
fof(f5756,plain,
( ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f263,f996]) ).
fof(f5757,plain,
( ~ sQ47_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f263,f995]) ).
fof(f5758,plain,
( ~ sQ66_spl
| ~ sQ47_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f263,f1165]) ).
fof(f5763,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f230,f811]) ).
fof(f5765,plain,
( ~ sQ38_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f230,f809]) ).
fof(f5766,plain,
( ~ sQ54_spl
| ~ sQ38_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f230,f923]) ).
fof(f5771,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f217,f4396]) ).
fof(f5772,plain,
( ~ sQ34_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f217,f4395]) ).
fof(f5773,plain,
( ~ sQ34_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f217,f4394]) ).
fof(f5774,plain,
( ~ sQ98_spl
| ~ sQ34_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f217,f1224]) ).
fof(f5779,plain,
( ~ sQ27_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f192,f2193]) ).
fof(f5780,plain,
( ~ sQ27_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f192,f2192]) ).
fof(f5781,plain,
( ~ sQ27_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f192,f2191]) ).
fof(f5782,plain,
( ~ sQ34_spl
| ~ sQ27_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f192,f4397]) ).
fof(f5788,plain,
( ~ sQ90_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f410,f1851]) ).
fof(f5789,plain,
( ~ sQ90_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f410,f1850]) ).
fof(f5790,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f410,f1849]) ).
fof(f5791,plain,
( ~ sQ123_spl
| ~ sQ90_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f410,f1415]) ).
fof(f5796,plain,
( ~ sQ11_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f138,f554]) ).
fof(f5797,plain,
( ~ sQ11_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f138,f553]) ).
fof(f5798,plain,
( ~ sQ11_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f138,f552]) ).
fof(f5799,plain,
( ~ sQ38_spl
| ~ sQ11_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f138,f812]) ).
fof(f5805,plain,
( ~ sQ117_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f501,f1496]) ).
fof(f5806,plain,
( ~ sQ117_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f501,f1495]) ).
fof(f5807,plain,
( ~ sQ117_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f501,f1494]) ).
fof(f5808,plain,
( ~ sQ18_spl
| ~ sQ117_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f501,f714]) ).
fof(f5813,plain,
( ~ sQ106_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f466,f1747]) ).
fof(f5814,plain,
( ~ sQ106_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f466,f1746]) ).
fof(f5815,plain,
( ~ sQ106_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f466,f1745]) ).
fof(f5816,plain,
( ~ sQ70_spl
| ~ sQ106_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f466,f1129]) ).
fof(f5821,plain,
( ~ sQ86_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f397,f1345]) ).
fof(f5822,plain,
( ~ sQ86_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f397,f1344]) ).
fof(f5823,plain,
( ~ sQ86_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f397,f1343]) ).
fof(f5824,plain,
( ~ sQ117_spl
| ~ sQ86_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f397,f1497]) ).
fof(f5829,plain,
( ~ sQ110_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f479,f1549]) ).
fof(f5830,plain,
( ~ sQ110_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f479,f1548]) ).
fof(f5831,plain,
( ~ sQ110_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f479,f1547]) ).
fof(f5832,plain,
( ~ sQ11_spl
| ~ sQ110_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f479,f555]) ).
fof(f5837,plain,
( ~ sQ66_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f328,f1164]) ).
fof(f5838,plain,
( ~ sQ66_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f328,f1163]) ).
fof(f5839,plain,
( ~ sQ66_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f328,f1162]) ).
fof(f5840,plain,
( ~ sQ9_spl
| ~ sQ66_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f328,f566]) ).
fof(f5845,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f783]) ).
fof(f5846,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f782]) ).
fof(f5847,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f781]) ).
fof(f5854,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f1608]) ).
fof(f5855,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f1607]) ).
fof(f5856,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f1606]) ).
fof(f5862,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f676]) ).
fof(f5863,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f675]) ).
fof(f5864,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f674]) ).
fof(f5870,plain,
( ~ sQ98_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f435,f1223]) ).
fof(f5871,plain,
( ~ sQ98_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f435,f1222]) ).
fof(f5872,plain,
( ~ sQ98_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f435,f1221]) ).
fof(f5873,plain,
( ~ sQ106_spl
| ~ sQ98_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f435,f1748]) ).
fof(f5878,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f1190]) ).
fof(f5879,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f1189]) ).
fof(f5880,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f1188]) ).
fof(f5886,plain,
( ~ sQ9_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f131,f565]) ).
fof(f5887,plain,
( ~ sQ9_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f131,f564]) ).
fof(f5888,plain,
( ~ sQ9_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f131,f563]) ).
fof(f5889,plain,
( ~ sQ90_spl
| ~ sQ9_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f131,f1852]) ).
fof(f5894,plain,
( ~ sQ54_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f285,f922]) ).
fof(f5895,plain,
( ~ sQ54_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f285,f921]) ).
fof(f5896,plain,
( ~ sQ54_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f285,f920]) ).
fof(f5897,plain,
( ~ sQ123_spl
| ~ sQ47_spl
| ~ sQ54_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f285,f2730]) ).
fof(f5902,plain,
( ~ sQ70_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f341,f1128]) ).
fof(f5903,plain,
( ~ sQ70_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f341,f1127]) ).
fof(f5904,plain,
( ~ sQ70_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f341,f1126]) ).
fof(f5905,plain,
( ~ sQ27_spl
| ~ sQ70_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f341,f2194]) ).
fof(f5910,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f1683]) ).
fof(f5911,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f1682]) ).
fof(f5912,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f1681]) ).
fof(f5918,plain,
( ~ sQ123_spl
| ~ next(e_5,e_3) ),
inference(resolution,[status(thm)],[f1411,f57]) ).
fof(f5919,plain,
( ~ sQ123_spl
| ~ next(e_5,e_2) ),
inference(resolution,[status(thm)],[f1411,f55]) ).
fof(f5920,plain,
( ~ sQ123_spl
| ~ next(e_5,e_1) ),
inference(resolution,[status(thm)],[f1411,f52]) ).
fof(f5921,plain,
( ~ sQ79_spl
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f1028,f59]) ).
fof(f5922,plain,
( ~ sQ79_spl
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f1028,f58]) ).
fof(f5923,plain,
( ~ sQ79_spl
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f1028,f56]) ).
fof(f5924,plain,
( ~ sQ79_spl
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f1028,f53]) ).
fof(f5925,plain,
( ~ sQ27_spl
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f2190,f54]) ).
fof(f5926,plain,
( ~ sQ27_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f2190,f51]) ).
fof(f5927,plain,
( ~ sQ11_spl
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f551,f50]) ).
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
| ~ sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| ~ sQ33_spl
| sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| sQ38_spl
| ~ sQ39_spl
| sQ40_spl
| ~ sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| sQ47_spl
| ~ sQ48_spl
| ~ sQ49_spl
| ~ sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| ~ sQ53_spl
| sQ54_spl
| sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| ~ sQ58_spl
| ~ sQ59_spl
| ~ sQ60_spl
| ~ sQ61_spl
| ~ sQ62_spl
| sQ63_spl
| ~ sQ64_spl
| sQ66_spl
| ~ sQ67_spl
| ~ sQ68_spl
| ~ sQ69_spl
| sQ70_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl
| ~ sQ77_spl
| ~ sQ78_spl
| sQ79_spl
| ~ sQ80_spl
| ~ sQ81_spl
| sQ82_spl
| ~ sQ83_spl
| ~ 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
| ~ sQ116_spl
| sQ117_spl
| ~ sQ118_spl
| ~ sQ119_spl
| ~ sQ120_spl
| ~ sQ121_spl
| ~ sQ122_spl
| sQ123_spl
| ~ sQ124_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP129-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n011.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 20 20:00:40 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 142.04/18.68 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 142.04/18.68 % SZS output start Saturation for theBenchmark
% See solution above
% 9.12/18.74 % Elapsed time: 18.289131 seconds
% 9.12/18.74 % CPU time: 144.133713 seconds
% 9.12/18.74 % Total memory used: 61.895 MB
% 9.12/18.74 % Net memory used: 56.895 MB
%------------------------------------------------------------------------------