%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP130-2.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 12:35:58 PM UTC 2026
% Result : Satisfiable 27.12s 3.88s
% Output : Saturation 1.06s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
next(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
greater(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
greater(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,X1] :
( ~ greater(Y,X1)
| ~ next(X,X1)
| ~ product(X,e_1,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X,Y] :
( product(X,Y,e_5)
| product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
! [X,Y,Z1,Z2] :
( product(Z2,Y,X)
| ~ product(X,Z1,Z2)
| ~ product(X,Y,Z1) ),
file('/export/starexec/sandbox/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,
! [X,Y,Z2] :
( product(Z2,Y,X)
| ! [Z1] :
( ~ product(X,Z1,Z2)
| ~ product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( product(X3,X1,X0)
| ~ product(X0,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_5,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f147,f95]) ).
fof(f531,plain,
( ~ sQ14_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f527,f147]) ).
fof(f532,plain,
( ~ sQ14_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f528,f147]) ).
fof(f533,plain,
( ~ sQ14_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f529,f147]) ).
fof(f534,plain,
( ~ sQ14_spl
| ~ sQ13_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f144,f529]) ).
fof(f535,plain,
! [X0] :
( ~ sQ13_spl
| ~ greater(e_4,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f144,f61]) ).
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_4,X0,e_3)
| ~ product(e_3,X0,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_3,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f141,f95]) ).
fof(f547,plain,
! [X0] :
( ~ sQ12_spl
| product(e_3,X0,e_5)
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f96,f546]) ).
fof(f548,plain,
( ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f543,f141]) ).
fof(f551,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f138,f545]) ).
fof(f552,plain,
! [X0] :
( ~ sQ11_spl
| ~ greater(e_2,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f138,f61]) ).
fof(f553,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f138,f93]) ).
fof(f554,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f138,f91]) ).
fof(f555,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f138,f89]) ).
fof(f556,plain,
! [X0] :
( ~ sQ11_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f138,f95]) ).
fof(f557,plain,
( ~ sQ12_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f551,f72]) ).
fof(f558,plain,
( ~ sQ12_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f557]) ).
fof(f559,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(e_1,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f135,f61]) ).
fof(f560,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f135,f93]) ).
fof(f561,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
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f135,f89]) ).
fof(f563,plain,
! [X0] :
( ~ sQ10_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f135,f95]) ).
fof(f564,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f131,f93]) ).
fof(f565,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f131,f91]) ).
fof(f566,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f131,f89]) ).
fof(f567,plain,
! [X0] :
( ~ sQ9_spl
| product(e_5,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f131,f95]) ).
fof(f568,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f128,f93]) ).
fof(f569,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f128,f91]) ).
fof(f570,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f128,f89]) ).
fof(f571,plain,
! [X0] :
( ~ sQ8_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f128,f95]) ).
fof(f572,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f125,f93]) ).
fof(f573,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f125,f91]) ).
fof(f574,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f125,f89]) ).
fof(f575,plain,
! [X0] :
( ~ sQ7_spl
| product(e_3,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f125,f95]) ).
fof(f576,plain,
! [X0] :
( ~ sQ7_spl
| product(e_3,X0,e_5)
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f96,f575]) ).
fof(f577,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f122,f93]) ).
fof(f578,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f122,f91]) ).
fof(f579,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f122,f89]) ).
fof(f580,plain,
! [X0] :
( ~ sQ6_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f122,f95]) ).
fof(f581,plain,
( ~ sQ7_spl
| 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_1) ),
inference(resolution,[status(thm)],[f576,f66]) ).
fof(f582,plain,
( ~ sQ7_spl
| 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_1) ),
inference(resolution,[status(thm)],[f576,f65]) ).
fof(f583,plain,
( ~ sQ7_spl
| 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_1) ),
inference(resolution,[status(thm)],[f576,f64]) ).
fof(f585,plain,
( ~ sQ7_spl
| 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_1) ),
inference(resolution,[status(thm)],[f576,f62]) ).
fof(f586,plain,
( ~ sQ7_spl
| sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f581,f425,f431,f434,f437,f124]) ).
fof(f587,plain,
( ~ sQ7_spl
| sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f582,f288,f294,f297,f300,f124]) ).
fof(f588,plain,
( ~ sQ7_spl
| sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f583,f102,f108,f111,f114,f124]) ).
fof(f590,plain,
( ~ sQ7_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f585,f134,f140,f143,f146,f124]) ).
fof(f601,plain,
( ~ sQ10_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f563,f135]) ).
fof(f602,plain,
( ~ sQ10_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f560,f135]) ).
fof(f603,plain,
( ~ sQ10_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f561,f135]) ).
fof(f605,plain,
( ~ sQ9_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f564,f131]) ).
fof(f606,plain,
( ~ sQ9_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f565,f131]) ).
fof(f607,plain,
( ~ sQ9_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f566,f131]) ).
fof(f608,plain,
( ~ sQ9_spl
| ~ sQ4_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f115,f565]) ).
fof(f609,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f115,f93]) ).
fof(f610,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f115,f91]) ).
fof(f611,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f115,f89]) ).
fof(f612,plain,
! [X0] :
( ~ sQ4_spl
| product(e_5,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f115,f95]) ).
fof(f613,plain,
( ~ sQ9_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f608,f76]) ).
fof(f614,plain,
( ~ sQ9_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f613]) ).
fof(f615,plain,
! [X0] :
( ~ sQ29_spl
| ~ greater(e_5,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f198,f61]) ).
fof(f616,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f198,f93]) ).
fof(f617,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f198,f91]) ).
fof(f618,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f198,f89]) ).
fof(f619,plain,
! [X0] :
( ~ sQ29_spl
| product(e_5,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f198,f95]) ).
fof(f620,plain,
( ~ sQ29_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f616,f198]) ).
fof(f622,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f618,f198]) ).
fof(f624,plain,
! [X0] :
( ~ sQ28_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f195,f61]) ).
fof(f625,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f195,f93]) ).
fof(f626,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f195,f91]) ).
fof(f627,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f195,f89]) ).
fof(f628,plain,
! [X0] :
( ~ sQ28_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f195,f95]) ).
fof(f631,plain,
! [X0] :
( ~ sQ27_spl
| ~ greater(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f192,f61]) ).
fof(f632,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f192,f93]) ).
fof(f633,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f192,f91]) ).
fof(f634,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f192,f89]) ).
fof(f635,plain,
! [X0] :
( ~ sQ27_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f192,f95]) ).
fof(f637,plain,
( ~ sQ27_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f633,f192]) ).
fof(f639,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f189,f634]) ).
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_2,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f189,f95]) ).
fof(f645,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f639,f72]) ).
fof(f646,plain,
( ~ sQ27_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f645]) ).
fof(f648,plain,
! [X0] :
( ~ sQ25_spl
| ~ greater(e_1,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f186,f61]) ).
fof(f649,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f186,f93]) ).
fof(f650,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f186,f91]) ).
fof(f651,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f186,f89]) ).
fof(f652,plain,
! [X0] :
( ~ sQ25_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f186,f95]) ).
fof(f655,plain,
( ~ sQ25_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f652,f186]) ).
fof(f656,plain,
( ~ sQ25_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f649,f186]) ).
fof(f658,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f651,f186]) ).
fof(f659,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f182,f93]) ).
fof(f660,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f182,f91]) ).
fof(f661,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f182,f89]) ).
fof(f662,plain,
! [X0] :
( ~ sQ24_spl
| product(e_5,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f182,f95]) ).
fof(f664,plain,
( ~ sQ24_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f660,f182]) ).
fof(f665,plain,
( ~ sQ8_spl
| ~ sQ23_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f179,f568]) ).
fof(f666,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f179,f93]) ).
fof(f667,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f179,f91]) ).
fof(f668,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f179,f89]) ).
fof(f669,plain,
! [X0] :
( ~ sQ23_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f179,f95]) ).
fof(f670,plain,
( ~ sQ8_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f665,f72]) ).
fof(f671,plain,
( ~ sQ8_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f670]) ).
fof(f672,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f176,f93]) ).
fof(f673,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f176,f91]) ).
fof(f674,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f176,f89]) ).
fof(f675,plain,
! [X0] :
( ~ sQ22_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f176,f95]) ).
fof(f676,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f173,f577]) ).
fof(f677,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f93]) ).
fof(f678,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f173,f91]) ).
fof(f679,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f173,f89]) ).
fof(f681,plain,
( ~ sQ6_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f676,f72]) ).
fof(f682,plain,
( ~ sQ6_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f681]) ).
fof(f683,plain,
( ~ sQ25_spl
| ~ sQ20_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f170,f650]) ).
fof(f684,plain,
( ~ sQ25_spl
| ~ sQ20_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f170,f652]) ).
fof(f685,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f170,f93]) ).
fof(f686,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f170,f91]) ).
fof(f687,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f170,f89]) ).
fof(f688,plain,
! [X0] :
( ~ sQ20_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f170,f95]) ).
fof(f689,plain,
( ~ sQ25_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f683,f71]) ).
fof(f690,plain,
( ~ sQ25_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f689]) ).
fof(f691,plain,
( ~ sQ24_spl
| ~ sQ19_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f166,f660]) ).
fof(f692,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f166,f93]) ).
fof(f693,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f166,f91]) ).
fof(f694,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f166,f89]) ).
fof(f695,plain,
! [X0] :
( ~ sQ19_spl
| product(e_5,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f166,f95]) ).
fof(f696,plain,
( ~ sQ24_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f691,f76]) ).
fof(f697,plain,
( ~ sQ24_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f696]) ).
fof(f698,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f163,f93]) ).
fof(f699,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f163,f91]) ).
fof(f700,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f163,f89]) ).
fof(f701,plain,
! [X0] :
( ~ sQ18_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f163,f95]) ).
fof(f702,plain,
( ~ sQ22_spl
| ~ sQ18_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f701,f176]) ).
fof(f704,plain,
( ~ sQ22_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f673,f176]) ).
fof(f705,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f674,f176]) ).
fof(f706,plain,
( ~ sQ22_spl
| ~ sQ27_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f633,f176]) ).
fof(f707,plain,
( ~ sQ22_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f706,f71]) ).
fof(f708,plain,
( ~ sQ22_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f707]) ).
fof(f709,plain,
! [X0] :
( ~ sQ26_spl
| product(e_2,X0,e_5)
| product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f97,f644]) ).
fof(f710,plain,
( ~ sQ26_spl
| 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) ),
inference(resolution,[status(thm)],[f709,f66]) ).
fof(f711,plain,
( ~ sQ26_spl
| 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) ),
inference(resolution,[status(thm)],[f709,f65]) ).
fof(f712,plain,
( ~ sQ26_spl
| 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) ),
inference(resolution,[status(thm)],[f709,f64]) ).
fof(f713,plain,
( ~ sQ26_spl
| 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) ),
inference(resolution,[status(thm)],[f709,f63]) ).
fof(f715,plain,
( ~ sQ26_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f710,f412,f415,f418,f421,f188]) ).
fof(f716,plain,
( ~ sQ26_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f711,f275,f278,f281,f284,f188]) ).
fof(f717,plain,
( ~ sQ26_spl
| sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f712,f156,f159,f162,f165,f188]) ).
fof(f718,plain,
( ~ sQ26_spl
| sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f713,f172,f175,f178,f181,f188]) ).
fof(f730,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f698,f163]) ).
fof(f731,plain,
( ~ sQ18_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f699,f163]) ).
fof(f732,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f700,f163]) ).
fof(f733,plain,
( ~ sQ22_spl
| ~ sQ24_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f661,f176]) ).
fof(f734,plain,
( ~ sQ22_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f733,f78]) ).
fof(f735,plain,
( ~ sQ22_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f734]) ).
fof(f736,plain,
( ~ sQ18_spl
| ~ sQ28_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f626,f163]) ).
fof(f737,plain,
( ~ sQ18_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f736,f75]) ).
fof(f738,plain,
( ~ sQ18_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f737]) ).
fof(f739,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f160,f93]) ).
fof(f740,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f160,f91]) ).
fof(f741,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f160,f89]) ).
fof(f742,plain,
! [X0] :
( ~ sQ17_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f160,f95]) ).
fof(f743,plain,
( ~ sQ17_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f742,f160]) ).
fof(f744,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f743,f93]) ).
fof(f745,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f743,f91]) ).
fof(f746,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f743,f89]) ).
fof(f747,plain,
! [X0] :
( ~ sQ17_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f743,f95]) ).
fof(f748,plain,
( ~ sQ17_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f744,f743]) ).
fof(f753,plain,
( ~ sQ17_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f746,f743]) ).
fof(f754,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f157,f741]) ).
fof(f755,plain,
( ~ sQ23_spl
| ~ sQ16_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f157,f669]) ).
fof(f756,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f157,f744]) ).
fof(f757,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f157,f93]) ).
fof(f758,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f157,f91]) ).
fof(f759,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f157,f89]) ).
fof(f760,plain,
! [X0] :
( ~ sQ16_spl
| product(e_2,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f157,f95]) ).
fof(f761,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f754,f72]) ).
fof(f762,plain,
( ~ sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f761]) ).
fof(f763,plain,
( ~ sQ25_spl
| ~ sQ15_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f154,f650]) ).
fof(f764,plain,
( ~ sQ25_spl
| ~ sQ15_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f154,f652]) ).
fof(f765,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f154,f93]) ).
fof(f766,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f154,f91]) ).
fof(f767,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f154,f89]) ).
fof(f768,plain,
! [X0] :
( ~ sQ15_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f154,f95]) ).
fof(f769,plain,
( ~ sQ25_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f763,f75]) ).
fof(f770,plain,
( ~ sQ25_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f769]) ).
fof(f771,plain,
( ~ sQ14_spl
| ~ sQ44_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f249,f527]) ).
fof(f772,plain,
! [X0] :
( ~ sQ44_spl
| ~ greater(e_5,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f249,f61]) ).
fof(f773,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f249,f93]) ).
fof(f774,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f249,f91]) ).
fof(f775,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f249,f89]) ).
fof(f776,plain,
! [X0] :
( ~ sQ44_spl
| product(e_5,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f249,f95]) ).
fof(f777,plain,
( ~ sQ14_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f771,f68]) ).
fof(f778,plain,
( ~ sQ14_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f777]) ).
fof(f779,plain,
! [X0] :
( ~ sQ43_spl
| ~ greater(e_4,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f246,f61]) ).
fof(f780,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f246,f93]) ).
fof(f781,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f246,f91]) ).
fof(f782,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f246,f89]) ).
fof(f783,plain,
! [X0] :
( ~ sQ43_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f246,f95]) ).
fof(f784,plain,
! [X0] :
( ~ sQ42_spl
| ~ greater(e_3,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f243,f61]) ).
fof(f785,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f243,f93]) ).
fof(f786,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f243,f91]) ).
fof(f787,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f243,f89]) ).
fof(f788,plain,
! [X0] :
( ~ sQ42_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f243,f95]) ).
fof(f789,plain,
( ~ sQ42_spl
| ~ sQ27_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f632,f243]) ).
fof(f790,plain,
( ~ sQ42_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f789,f67]) ).
fof(f791,plain,
( ~ sQ42_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f790]) ).
fof(f813,plain,
! [X0] :
( ~ sQ10_spl
| ~ greater(e_3,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f601,f61]) ).
fof(f814,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f601,f93]) ).
fof(f815,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f601,f91]) ).
fof(f816,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f601,f89]) ).
fof(f817,plain,
! [X0] :
( ~ sQ10_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f601,f95]) ).
fof(f818,plain,
( ~ sQ10_spl
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f813,f54]) ).
fof(f819,plain,
( ~ sQ10_spl
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f813,f51]) ).
fof(f820,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f818,f46]) ).
fof(f821,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f820]) ).
fof(f829,plain,
( ~ sQ43_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f780,f246]) ).
fof(f831,plain,
( ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f782,f246]) ).
fof(f832,plain,
( ~ sQ43_spl
| ~ sQ28_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f625,f246]) ).
fof(f833,plain,
( ~ sQ43_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f832,f67]) ).
fof(f834,plain,
( ~ sQ43_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f833]) ).
fof(f835,plain,
( ~ sQ17_spl
| ~ sQ11_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f554,f743]) ).
fof(f836,plain,
( ~ sQ17_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f835,f75]) ).
fof(f837,plain,
( ~ sQ17_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f836]) ).
fof(f838,plain,
( ~ sQ12_spl
| 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) ),
inference(resolution,[status(thm)],[f547,f66]) ).
fof(f839,plain,
( ~ sQ12_spl
| 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) ),
inference(resolution,[status(thm)],[f547,f65]) ).
fof(f840,plain,
( ~ sQ12_spl
| 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) ),
inference(resolution,[status(thm)],[f547,f64]) ).
fof(f841,plain,
( ~ sQ12_spl
| 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) ),
inference(resolution,[status(thm)],[f547,f63]) ).
fof(f843,plain,
( ~ sQ12_spl
| sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f838,f428,f431,f434,f437,f140]) ).
fof(f844,plain,
( ~ sQ12_spl
| sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f839,f291,f294,f297,f300,f140]) ).
fof(f845,plain,
( ~ sQ12_spl
| sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f840,f105,f108,f111,f114,f140]) ).
fof(f846,plain,
( ~ sQ12_spl
| sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f841,f121,f124,f127,f130,f140]) ).
fof(f858,plain,
! [X0] :
( ~ sQ41_spl
| ~ greater(e_2,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f240,f61]) ).
fof(f859,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f240,f93]) ).
fof(f860,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f240,f91]) ).
fof(f861,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f240,f89]) ).
fof(f862,plain,
! [X0] :
( ~ sQ41_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f240,f95]) ).
fof(f863,plain,
( ~ sQ25_spl
| ~ sQ40_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f237,f649]) ).
fof(f864,plain,
! [X0] :
( ~ sQ40_spl
| ~ greater(e_1,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f237,f61]) ).
fof(f865,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f93]) ).
fof(f866,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f237,f91]) ).
fof(f867,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f237,f89]) ).
fof(f869,plain,
( ~ sQ25_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f863,f67]) ).
fof(f870,plain,
( ~ sQ25_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f869]) ).
fof(f871,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f233,f93]) ).
fof(f872,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f233,f91]) ).
fof(f873,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f233,f89]) ).
fof(f874,plain,
! [X0] :
( ~ sQ39_spl
| product(e_5,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f233,f95]) ).
fof(f875,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f230,f93]) ).
fof(f876,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f230,f91]) ).
fof(f877,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f230,f89]) ).
fof(f878,plain,
! [X0] :
( ~ sQ38_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f230,f95]) ).
fof(f879,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f227,f93]) ).
fof(f880,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f227,f91]) ).
fof(f881,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f227,f89]) ).
fof(f882,plain,
! [X0] :
( ~ sQ37_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f227,f95]) ).
fof(f883,plain,
( ~ sQ41_spl
| ~ sQ39_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f874,f240]) ).
fof(f884,plain,
( ~ sQ41_spl
| ~ sQ38_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f878,f240]) ).
fof(f885,plain,
( ~ sQ41_spl
| ~ sQ37_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f882,f240]) ).
fof(f886,plain,
( ~ sQ41_spl
| ~ sQ37_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f885,f134,f226,f239]) ).
fof(f888,plain,
( ~ sQ41_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f860,f240]) ).
fof(f889,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f861,f240]) ).
fof(f890,plain,
( ~ sQ39_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f871,f233]) ).
fof(f892,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f873,f230]) ).
fof(f894,plain,
( ~ sQ38_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f892,f82]) ).
fof(f895,plain,
( ~ sQ38_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f894]) ).
fof(f896,plain,
( ~ sQ38_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f875,f230]) ).
fof(f897,plain,
( ~ sQ38_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f876,f230]) ).
fof(f898,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f877,f230]) ).
fof(f899,plain,
( ~ sQ38_spl
| ~ sQ8_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f568,f230]) ).
fof(f900,plain,
( ~ sQ38_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f899,f68]) ).
fof(f901,plain,
( ~ sQ38_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f900]) ).
fof(f902,plain,
( ~ sQ41_spl
| ~ sQ39_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f874,f240]) ).
fof(f903,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f224,f873]) ).
fof(f904,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f224,f874]) ).
fof(f905,plain,
( ~ sQ41_spl
| ~ sQ36_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f224,f860]) ).
fof(f906,plain,
( ~ sQ6_spl
| ~ sQ36_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f224,f577]) ).
fof(f907,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f224,f93]) ).
fof(f908,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f224,f91]) ).
fof(f909,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f224,f89]) ).
fof(f910,plain,
! [X0] :
( ~ sQ36_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f224,f95]) ).
fof(f911,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f903,f74]) ).
fof(f912,plain,
( ~ sQ39_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f911]) ).
fof(f913,plain,
( ~ sQ41_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f905,f71]) ).
fof(f914,plain,
( ~ sQ41_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f913]) ).
fof(f915,plain,
( ~ sQ37_spl
| ~ sQ35_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f221,f881]) ).
fof(f916,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f221,f866]) ).
fof(f917,plain,
( ~ sQ20_spl
| ~ sQ35_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f221,f685]) ).
fof(f918,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f221,f93]) ).
fof(f919,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f221,f91]) ).
fof(f920,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f221,f89]) ).
fof(f921,plain,
! [X0] :
( ~ sQ35_spl
| product(e_1,X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f221,f95]) ).
fof(f922,plain,
( ~ sQ37_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f915,f68]) ).
fof(f923,plain,
( ~ sQ37_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f922]) ).
fof(f924,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f916,f71]) ).
fof(f925,plain,
( ~ sQ40_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f924]) ).
fof(f926,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f217,f93]) ).
fof(f927,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f217,f91]) ).
fof(f928,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f217,f89]) ).
fof(f929,plain,
! [X0] :
( ~ sQ34_spl
| product(e_5,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f217,f95]) ).
fof(f930,plain,
( ~ sQ38_spl
| ~ sQ33_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f214,f876]) ).
fof(f931,plain,
( ~ sQ18_spl
| ~ sQ33_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f214,f698]) ).
fof(f932,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f214,f93]) ).
fof(f933,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f214,f91]) ).
fof(f934,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f214,f89]) ).
fof(f935,plain,
! [X0] :
( ~ sQ33_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f214,f95]) ).
fof(f936,plain,
( ~ sQ38_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f930,f76]) ).
fof(f937,plain,
( ~ sQ38_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f936]) ).
fof(f938,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f211,f93]) ).
fof(f939,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f211,f91]) ).
fof(f940,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f211,f89]) ).
fof(f941,plain,
! [X0] :
( ~ sQ32_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f211,f95]) ).
fof(f942,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f208,f93]) ).
fof(f943,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f208,f91]) ).
fof(f944,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f208,f89]) ).
fof(f945,plain,
! [X0] :
( ~ sQ31_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f208,f95]) ).
fof(f946,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f205,f93]) ).
fof(f947,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f205,f91]) ).
fof(f948,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f205,f89]) ).
fof(f949,plain,
! [X0] :
( ~ sQ30_spl
| product(e_1,X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f205,f95]) ).
fof(f950,plain,
! [X0] :
( ~ sQ30_spl
| product(e_1,X0,e_5)
| product(e_1,X0,e_4)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f98,f949]) ).
fof(f951,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f301,f93]) ).
fof(f952,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f301,f91]) ).
fof(f953,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f301,f89]) ).
fof(f954,plain,
! [X0] :
( ~ sQ59_spl
| product(e_5,X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f301,f95]) ).
fof(f955,plain,
( ~ sQ30_spl
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f950,f66]) ).
fof(f956,plain,
( ~ sQ30_spl
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f950,f65]) ).
fof(f958,plain,
( ~ sQ30_spl
| product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f950,f63]) ).
fof(f959,plain,
( ~ sQ30_spl
| product(e_1,e_1,e_5)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f950,f62]) ).
fof(f960,plain,
( ~ sQ30_spl
| sQ89_spl
| sQ88_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f955,f393,f396,f402,f405,f204]) ).
fof(f961,plain,
( ~ sQ30_spl
| sQ49_spl
| sQ48_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f956,f256,f259,f265,f268,f204]) ).
fof(f963,plain,
( ~ sQ30_spl
| sQ39_spl
| sQ38_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f958,f220,f223,f229,f232,f204]) ).
fof(f964,plain,
( ~ sQ30_spl
| sQ44_spl
| sQ43_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f959,f236,f239,f245,f248,f204]) ).
fof(f975,plain,
( ~ sQ32_spl
| ~ sQ34_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f929,f211]) ).
fof(f976,plain,
( ~ sQ31_spl
| ~ sQ36_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f910,f208]) ).
fof(f977,plain,
( ~ sQ32_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f941,f211]) ).
fof(f978,plain,
( ~ sQ32_spl
| ~ sQ31_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f945,f211]) ).
fof(f979,plain,
( ~ sQ18_spl
| ~ sQ31_spl
| ~ sQ36_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f976,f700]) ).
fof(f980,plain,
( ~ sQ27_spl
| ~ sQ31_spl
| ~ sQ36_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f976,f635]) ).
fof(f981,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f976,f93]) ).
fof(f982,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f976,f91]) ).
fof(f983,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f976,f89]) ).
fof(f984,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ36_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f976,f95]) ).
fof(f985,plain,
( ~ sQ18_spl
| ~ sQ31_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f979,f69]) ).
fof(f986,plain,
( ~ sQ18_spl
| ~ sQ31_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f985]) ).
fof(f987,plain,
( ~ sQ6_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f906,f68]) ).
fof(f988,plain,
( ~ sQ6_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f987]) ).
fof(f989,plain,
( ~ sQ20_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f917,f67]) ).
fof(f990,plain,
( ~ sQ20_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f989]) ).
fof(f991,plain,
( ~ sQ18_spl
| ~ sQ32_spl
| ~ sQ31_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f978,f700]) ).
fof(f992,plain,
( ~ sQ27_spl
| ~ sQ32_spl
| ~ sQ31_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f978,f635]) ).
fof(f993,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f978,f93]) ).
fof(f994,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ31_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f978,f91]) ).
fof(f995,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ31_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f978,f89]) ).
fof(f996,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ31_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f978,f95]) ).
fof(f997,plain,
( ~ sQ18_spl
| ~ sQ32_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f991,f69]) ).
fof(f998,plain,
( ~ sQ18_spl
| ~ sQ32_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f997]) ).
fof(f999,plain,
( ~ sQ34_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f926,f217]) ).
fof(f1000,plain,
( ~ sQ34_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f927,f217]) ).
fof(f1001,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f928,f217]) ).
fof(f1002,plain,
( ~ sQ59_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f951,f301]) ).
fof(f1005,plain,
( ~ sQ34_spl
| ~ sQ44_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f774,f217]) ).
fof(f1006,plain,
( ~ sQ34_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1005,f75]) ).
fof(f1007,plain,
( ~ sQ34_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1006]) ).
fof(f1008,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f298,f953]) ).
fof(f1009,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f298,f954]) ).
fof(f1010,plain,
( ~ sQ13_spl
| ~ sQ58_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f298,f537]) ).
fof(f1011,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f298,f93]) ).
fof(f1012,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f298,f91]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f298,f89]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ58_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f298,f95]) ).
fof(f1015,plain,
( ~ sQ59_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1008,f82]) ).
fof(f1016,plain,
( ~ sQ59_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1015]) ).
fof(f1017,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f295,f953]) ).
fof(f1018,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f295,f93]) ).
fof(f1019,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f295,f91]) ).
fof(f1020,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f295,f89]) ).
fof(f1021,plain,
! [X0] :
( ~ sQ57_spl
| product(e_3,X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f295,f95]) ).
fof(f1022,plain,
( ~ sQ59_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1017,f78]) ).
fof(f1023,plain,
( ~ sQ59_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f1022]) ).
fof(f1024,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f292,f953]) ).
fof(f1025,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f292,f93]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f292,f91]) ).
fof(f1027,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f292,f89]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ56_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f292,f95]) ).
fof(f1029,plain,
( ~ sQ59_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1024,f74]) ).
fof(f1030,plain,
( ~ sQ59_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1029]) ).
fof(f1031,plain,
( ~ sQ13_spl
| ~ sQ55_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f289,f539]) ).
fof(f1032,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f289,f93]) ).
fof(f1033,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f289,f91]) ).
fof(f1034,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f289,f89]) ).
fof(f1035,plain,
! [X0] :
( ~ sQ55_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f289,f95]) ).
fof(f1036,plain,
( ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1032,f289]) ).
fof(f1038,plain,
( ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1034,f289]) ).
fof(f1039,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f285,f93]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f285,f91]) ).
fof(f1041,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f285,f89]) ).
fof(f1042,plain,
! [X0] :
( ~ sQ54_spl
| product(e_5,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f285,f95]) ).
fof(f1043,plain,
( ~ sQ54_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1039,f285]) ).
fof(f1044,plain,
( ~ sQ23_spl
| ~ sQ53_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f282,f667]) ).
fof(f1045,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f282,f93]) ).
fof(f1046,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f282,f91]) ).
fof(f1047,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f282,f89]) ).
fof(f1048,plain,
! [X0] :
( ~ sQ53_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f282,f95]) ).
fof(f1049,plain,
( ~ sQ23_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1044,f80]) ).
fof(f1050,plain,
( ~ sQ23_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1049]) ).
fof(f1051,plain,
( ~ sQ15_spl
| ~ sQ52_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f279,f768]) ).
fof(f1052,plain,
( ~ sQ27_spl
| ~ sQ52_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f279,f633]) ).
fof(f1053,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f279,f93]) ).
fof(f1054,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f279,f91]) ).
fof(f1055,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f279,f89]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ52_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f279,f95]) ).
fof(f1057,plain,
( ~ sQ27_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1052,f79]) ).
fof(f1058,plain,
( ~ sQ27_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1057]) ).
fof(f1060,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f276,f93]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f276,f91]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f276,f89]) ).
fof(f1063,plain,
! [X0] :
( ~ sQ51_spl
| product(e_2,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f276,f95]) ).
fof(f1065,plain,
( ~ sQ55_spl
| ~ sQ50_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f273,f1032]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f273,f93]) ).
fof(f1067,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f273,f91]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f273,f89]) ).
fof(f1069,plain,
! [X0] :
( ~ sQ50_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f273,f95]) ).
fof(f1070,plain,
( ~ sQ55_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1065,f72]) ).
fof(f1071,plain,
( ~ sQ55_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1070]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ51_spl
| product(e_2,X0,e_5)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f97,f1063]) ).
fof(f1073,plain,
( ~ sQ13_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1010,f79]) ).
fof(f1074,plain,
( ~ sQ13_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f1073]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ57_spl
| product(e_3,X0,e_5)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f96,f1021]) ).
fof(f1076,plain,
( ~ sQ54_spl
| ~ sQ49_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f269,f1039]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f269,f93]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f269,f91]) ).
fof(f1079,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f269,f89]) ).
fof(f1080,plain,
! [X0] :
( ~ sQ49_spl
| product(e_5,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f269,f95]) ).
fof(f1081,plain,
( ~ sQ54_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1076,f67]) ).
fof(f1082,plain,
( ~ sQ54_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1081]) ).
fof(f1083,plain,
( ~ sQ51_spl
| product(e_2,e_5,e_5)
| 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)],[f1072,f66]) ).
fof(f1085,plain,
( ~ sQ51_spl
| product(e_2,e_3,e_5)
| 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)],[f1072,f64]) ).
fof(f1086,plain,
( ~ sQ51_spl
| product(e_2,e_2,e_5)
| 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)],[f1072,f63]) ).
fof(f1087,plain,
( ~ sQ51_spl
| product(e_2,e_1,e_5)
| 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)],[f1072,f62]) ).
fof(f1088,plain,
( ~ sQ51_spl
| sQ94_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1083,f409,f412,f415,f421,f275]) ).
fof(f1090,plain,
( ~ sQ51_spl
| sQ19_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1085,f153,f156,f159,f165,f275]) ).
fof(f1091,plain,
( ~ sQ51_spl
| sQ24_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1086,f169,f172,f175,f181,f275]) ).
fof(f1092,plain,
( ~ sQ51_spl
| sQ29_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1087,f185,f188,f191,f197,f275]) ).
fof(f1093,plain,
( ~ sQ57_spl
| product(e_3,e_5,e_5)
| 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)],[f1075,f66]) ).
fof(f1095,plain,
( ~ sQ57_spl
| product(e_3,e_3,e_5)
| 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)],[f1075,f64]) ).
fof(f1096,plain,
( ~ sQ57_spl
| product(e_3,e_2,e_5)
| 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)],[f1075,f63]) ).
fof(f1097,plain,
( ~ sQ57_spl
| product(e_3,e_1,e_5)
| 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)],[f1075,f62]) ).
fof(f1098,plain,
( ~ sQ57_spl
| sQ99_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1093,f425,f428,f431,f437,f294]) ).
fof(f1100,plain,
( ~ sQ57_spl
| sQ4_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f1095,f102,f105,f108,f114,f294]) ).
fof(f1101,plain,
( ~ sQ57_spl
| sQ9_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f1096,f118,f121,f124,f130,f294]) ).
fof(f1102,plain,
( ~ sQ57_spl
| sQ14_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1097,f134,f137,f140,f146,f294]) ).
fof(f1103,plain,
! [X0] :
( ~ sQ16_spl
| product(e_2,X0,e_5)
| product(e_2,X0,e_4)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f97,f760]) ).
fof(f1104,plain,
( ~ sQ16_spl
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f1103,f66]) ).
fof(f1105,plain,
( ~ sQ16_spl
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1103,f65]) ).
fof(f1107,plain,
( ~ sQ16_spl
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f1103,f63]) ).
fof(f1108,plain,
( ~ sQ16_spl
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f1103,f62]) ).
fof(f1109,plain,
( ~ sQ16_spl
| sQ94_spl
| sQ93_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1104,f409,f412,f418,f421,f156]) ).
fof(f1110,plain,
( ~ sQ16_spl
| sQ54_spl
| sQ53_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1105,f272,f275,f281,f284,f156]) ).
fof(f1112,plain,
( ~ sQ16_spl
| sQ24_spl
| sQ23_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1107,f169,f172,f178,f181,f156]) ).
fof(f1113,plain,
( ~ sQ16_spl
| sQ29_spl
| sQ28_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1108,f185,f188,f194,f197,f156]) ).
fof(f1115,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ16_spl
| product(e_2,X0,e_5)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1072,f760]) ).
fof(f1116,plain,
( ~ sQ51_spl
| ~ sQ16_spl
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f1115,f66]) ).
fof(f1119,plain,
( ~ sQ51_spl
| ~ sQ16_spl
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f1115,f63]) ).
fof(f1120,plain,
( ~ sQ51_spl
| ~ sQ16_spl
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f1115,f62]) ).
fof(f1121,plain,
( ~ sQ51_spl
| ~ sQ16_spl
| sQ94_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1116,f409,f412,f421,f156,f275]) ).
fof(f1124,plain,
( ~ sQ51_spl
| ~ sQ16_spl
| sQ24_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1119,f169,f172,f181,f156,f275]) ).
fof(f1125,plain,
( ~ sQ51_spl
| ~ sQ16_spl
| sQ29_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1120,f185,f188,f197,f156,f275]) ).
fof(f1158,plain,
( ~ sQ52_spl
| ~ sQ16_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f760,f279]) ).
fof(f1159,plain,
( ~ sQ52_spl
| ~ sQ19_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f695,f279]) ).
fof(f1160,plain,
( ~ sQ52_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1053,f279]) ).
fof(f1161,plain,
( ~ sQ52_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1054,f279]) ).
fof(f1162,plain,
( ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1055,f279]) ).
fof(f1163,plain,
( ~ sQ52_spl
| ~ sQ22_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f673,f279]) ).
fof(f1164,plain,
( ~ sQ52_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1163,f80]) ).
fof(f1165,plain,
( ~ sQ52_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1164]) ).
fof(f1166,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f266,f1079]) ).
fof(f1167,plain,
( ~ sQ43_spl
| ~ sQ48_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f266,f781]) ).
fof(f1168,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f266,f1080]) ).
fof(f1169,plain,
( ~ sQ38_spl
| ~ sQ48_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f266,f876]) ).
fof(f1170,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f266,f93]) ).
fof(f1171,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f266,f91]) ).
fof(f1172,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f266,f89]) ).
fof(f1173,plain,
! [X0] :
( ~ sQ48_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f266,f95]) ).
fof(f1174,plain,
( ~ sQ49_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1166,f82]) ).
fof(f1175,plain,
( ~ sQ49_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1174]) ).
fof(f1177,plain,
( ~ sQ32_spl
| ~ sQ47_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f263,f939]) ).
fof(f1178,plain,
( ~ sQ32_spl
| ~ sQ47_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f263,f941]) ).
fof(f1179,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f263,f93]) ).
fof(f1180,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f263,f91]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f263,f89]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ47_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f263,f95]) ).
fof(f1183,plain,
( ~ sQ32_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1177,f81]) ).
fof(f1184,plain,
( ~ sQ32_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1183]) ).
fof(f1185,plain,
( ~ sQ38_spl
| ~ sQ46_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f260,f878]) ).
fof(f1186,plain,
( ~ sQ51_spl
| ~ sQ46_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f260,f1060]) ).
fof(f1191,plain,
( ~ sQ51_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1186,f67]) ).
fof(f1192,plain,
( ~ sQ51_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1191]) ).
fof(f1193,plain,
( ~ sQ55_spl
| ~ sQ45_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f257,f1032]) ).
fof(f1194,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f257,f93]) ).
fof(f1195,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f257,f91]) ).
fof(f1196,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f257,f89]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ45_spl
| product(e_1,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f257,f95]) ).
fof(f1198,plain,
( ~ sQ55_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1193,f68]) ).
fof(f1199,plain,
( ~ sQ55_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1198]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ79_spl
| ~ greater(e_5,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f369,f61]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f369,f93]) ).
fof(f1202,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f369,f91]) ).
fof(f1203,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f369,f89]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ79_spl
| product(e_5,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f369,f95]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ78_spl
| ~ greater(e_4,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f366,f61]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f366,f93]) ).
fof(f1207,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f366,f91]) ).
fof(f1208,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f366,f89]) ).
fof(f1209,plain,
! [X0] :
( ~ sQ78_spl
| product(e_4,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f366,f95]) ).
fof(f1210,plain,
! [X0] :
( ~ sQ78_spl
| product(e_4,X0,e_5)
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f255,f1209]) ).
fof(f1221,plain,
( ~ sQ78_spl
| 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) ),
inference(resolution,[status(thm)],[f1210,f66]) ).
fof(f1222,plain,
( ~ sQ78_spl
| 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) ),
inference(resolution,[status(thm)],[f1210,f65]) ).
fof(f1223,plain,
( ~ sQ78_spl
| 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) ),
inference(resolution,[status(thm)],[f1210,f64]) ).
fof(f1224,plain,
( ~ sQ78_spl
| 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) ),
inference(resolution,[status(thm)],[f1210,f63]) ).
fof(f1226,plain,
( ~ sQ78_spl
| sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1221,f380,f383,f386,f389,f365]) ).
fof(f1227,plain,
( ~ sQ78_spl
| sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1222,f311,f314,f317,f320,f365]) ).
fof(f1228,plain,
( ~ sQ78_spl
| sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f1223,f327,f330,f333,f336,f365]) ).
fof(f1229,plain,
( ~ sQ78_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f1224,f343,f346,f349,f352,f365]) ).
fof(f1241,plain,
( ~ sQ79_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1201,f369]) ).
fof(f1242,plain,
( ~ sQ79_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1202,f369]) ).
fof(f1243,plain,
( ~ sQ79_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1203,f369]) ).
fof(f1244,plain,
( ~ sQ79_spl
| ~ sQ77_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f363,f1203]) ).
fof(f1245,plain,
! [X0] :
( ~ sQ77_spl
| ~ greater(e_3,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f363,f61]) ).
fof(f1246,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f363,f93]) ).
fof(f1247,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f363,f91]) ).
fof(f1248,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f363,f89]) ).
fof(f1249,plain,
! [X0] :
( ~ sQ77_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f363,f95]) ).
fof(f1250,plain,
( ~ sQ79_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1244,f78]) ).
fof(f1251,plain,
( ~ sQ79_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f1250]) ).
fof(f1252,plain,
( ~ sQ41_spl
| ~ sQ76_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f360,f859]) ).
fof(f1253,plain,
( ~ sQ11_spl
| ~ sQ76_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f360,f553]) ).
fof(f1254,plain,
! [X0] :
( ~ sQ76_spl
| ~ greater(e_2,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f360,f61]) ).
fof(f1255,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f360,f93]) ).
fof(f1256,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f360,f91]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f360,f89]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ76_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f360,f95]) ).
fof(f1259,plain,
( ~ sQ41_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1252,f79]) ).
fof(f1260,plain,
( ~ sQ41_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f1259]) ).
fof(f1271,plain,
( ~ sQ40_spl
| ~ sQ75_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f357,f865]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ75_spl
| ~ greater(e_1,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f357,f61]) ).
fof(f1273,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f357,f93]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f357,f91]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f357,f89]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ75_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f357,f95]) ).
fof(f1277,plain,
( ~ sQ40_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1271,f79]) ).
fof(f1278,plain,
( ~ sQ40_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1277]) ).
fof(f1280,plain,
! [X0] :
( ~ sQ35_spl
| product(e_1,X0,e_5)
| product(e_1,X0,e_4)
| product(e_1,X0,e_3)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f98,f921]) ).
fof(f1281,plain,
( ~ sQ75_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1273,f357]) ).
fof(f1282,plain,
( ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1274,f357]) ).
fof(f1283,plain,
( ~ sQ9_spl
| ~ sQ74_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f353,f564]) ).
fof(f1284,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f353,f93]) ).
fof(f1285,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f353,f91]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f353,f89]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ74_spl
| product(e_5,X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f353,f95]) ).
fof(f1288,plain,
( ~ sQ9_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1283,f81]) ).
fof(f1289,plain,
( ~ sQ9_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f1288]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f350,f93]) ).
fof(f1291,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f350,f91]) ).
fof(f1292,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f350,f89]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ73_spl
| product(e_4,X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f350,f95]) ).
fof(f1294,plain,
! [X0] :
( ~ sQ73_spl
| product(e_4,X0,e_5)
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f255,f1293]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f347,f93]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f347,f91]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f347,f89]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ72_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f347,f95]) ).
fof(f1299,plain,
( ~ sQ21_spl
| ~ sQ71_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f344,f677]) ).
fof(f1300,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f344,f93]) ).
fof(f1301,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f344,f91]) ).
fof(f1302,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f344,f89]) ).
fof(f1303,plain,
! [X0] :
( ~ sQ71_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f344,f95]) ).
fof(f1304,plain,
( ~ sQ21_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1299,f80]) ).
fof(f1305,plain,
( ~ sQ21_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1304]) ).
fof(f1306,plain,
( ~ sQ73_spl
| 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_1) ),
inference(resolution,[status(thm)],[f1294,f66]) ).
fof(f1307,plain,
( ~ sQ73_spl
| 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_1) ),
inference(resolution,[status(thm)],[f1294,f65]) ).
fof(f1308,plain,
( ~ sQ73_spl
| 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_1) ),
inference(resolution,[status(thm)],[f1294,f64]) ).
fof(f1310,plain,
( ~ sQ73_spl
| 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_1) ),
inference(resolution,[status(thm)],[f1294,f62]) ).
fof(f1311,plain,
( ~ sQ73_spl
| sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1306,f377,f383,f386,f389,f349]) ).
fof(f1312,plain,
( ~ sQ73_spl
| sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1307,f308,f314,f317,f320,f349]) ).
fof(f1313,plain,
( ~ sQ73_spl
| sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f1308,f324,f330,f333,f336,f349]) ).
fof(f1315,plain,
( ~ sQ73_spl
| sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f1310,f356,f362,f365,f368,f349]) ).
fof(f1346,plain,
( ~ sQ75_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1276,f357]) ).
fof(f1347,plain,
( ~ sQ71_spl
| ~ sQ72_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f1298,f344]) ).
fof(f1348,plain,
( ~ sQ71_spl
| ~ sQ72_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1347,f127,f346,f343]) ).
fof(f1349,plain,
( ~ sQ75_spl
| ~ sQ79_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f1204,f357]) ).
fof(f1350,plain,
( ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1275,f357]) ).
fof(f1351,plain,
( ~ sQ75_spl
| ~ sQ79_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1203,f357]) ).
fof(f1352,plain,
( ~ sQ75_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1351,f70]) ).
fof(f1353,plain,
( ~ sQ75_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f1352]) ).
fof(f1354,plain,
( ~ sQ77_spl
| ~ sQ70_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f341,f1249]) ).
fof(f1355,plain,
( ~ sQ20_spl
| ~ sQ70_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f341,f685]) ).
fof(f1356,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f341,f93]) ).
fof(f1357,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f341,f91]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f341,f89]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ70_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f341,f95]) ).
fof(f1360,plain,
( ~ sQ77_spl
| ~ sQ70_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1354,f127,f340,f362]) ).
fof(f1361,plain,
( ~ sQ20_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1355,f80]) ).
fof(f1362,plain,
( ~ sQ20_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f1361]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ73_spl
| product(e_4,X0,e_5)
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1210,f1293]) ).
fof(f1366,plain,
( ~ sQ78_spl
| ~ sQ73_spl
| product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1365,f66]) ).
fof(f1367,plain,
( ~ sQ78_spl
| ~ sQ73_spl
| product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f1365,f65]) ).
fof(f1368,plain,
( ~ sQ78_spl
| ~ sQ73_spl
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f1365,f64]) ).
fof(f1371,plain,
( ~ sQ78_spl
| ~ sQ73_spl
| sQ84_spl
| sQ83_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1366,f383,f386,f389,f349,f365]) ).
fof(f1372,plain,
( ~ sQ78_spl
| ~ sQ73_spl
| sQ64_spl
| sQ63_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1367,f314,f317,f320,f349,f365]) ).
fof(f1373,plain,
( ~ sQ78_spl
| ~ sQ73_spl
| sQ69_spl
| sQ68_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1368,f330,f333,f336,f349,f365]) ).
fof(f1376,plain,
( ~ sQ19_spl
| ~ sQ69_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f337,f692]) ).
fof(f1377,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f337,f93]) ).
fof(f1378,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f337,f91]) ).
fof(f1379,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f337,f89]) ).
fof(f1380,plain,
! [X0] :
( ~ sQ69_spl
| product(e_5,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f337,f95]) ).
fof(f1381,plain,
( ~ sQ19_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1376,f80]) ).
fof(f1382,plain,
( ~ sQ19_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f1381]) ).
fof(f1383,plain,
( ~ sQ78_spl
| ~ sQ68_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f334,f1207]) ).
fof(f1384,plain,
( ~ sQ73_spl
| ~ sQ68_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f334,f1291]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f334,f93]) ).
fof(f1386,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f334,f91]) ).
fof(f1387,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f334,f89]) ).
fof(f1388,plain,
! [X0] :
( ~ sQ68_spl
| product(e_4,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f334,f95]) ).
fof(f1389,plain,
( ~ sQ78_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1383,f75]) ).
fof(f1390,plain,
( ~ sQ78_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f1389]) ).
fof(f1391,plain,
( ~ sQ73_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1384,f76]) ).
fof(f1392,plain,
( ~ sQ73_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f1391]) ).
fof(f1394,plain,
! [X0] :
( ~ sQ68_spl
| product(e_4,X0,e_5)
| product(e_4,X0,e_4)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f255,f1388]) ).
fof(f1396,plain,
( ~ sQ75_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f1346,f245,f356]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f331,f93]) ).
fof(f1398,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f331,f91]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f331,f89]) ).
fof(f1400,plain,
! [X0] :
( ~ sQ67_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f331,f95]) ).
fof(f1401,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f328,f93]) ).
fof(f1402,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f328,f91]) ).
fof(f1403,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f328,f89]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ66_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f328,f95]) ).
fof(f1405,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f325,f93]) ).
fof(f1406,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f325,f91]) ).
fof(f1407,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f325,f89]) ).
fof(f1408,plain,
! [X0] :
( ~ sQ65_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f325,f95]) ).
fof(f1409,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f321,f93]) ).
fof(f1410,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f321,f91]) ).
fof(f1411,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_5)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f321,f89]) ).
fof(f1412,plain,
! [X0] :
( ~ sQ64_spl
| product(e_5,X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f321,f95]) ).
fof(f1413,plain,
( ~ sQ53_spl
| ~ sQ63_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f318,f1045]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f93]) ).
fof(f1415,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f318,f91]) ).
fof(f1416,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f318,f89]) ).
fof(f1418,plain,
( ~ sQ53_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1413,f80]) ).
fof(f1419,plain,
( ~ sQ53_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1418]) ).
fof(f1421,plain,
( ~ sQ68_spl
| product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1394,f66]) ).
fof(f1422,plain,
( ~ sQ68_spl
| product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f1394,f65]) ).
fof(f1424,plain,
( ~ sQ68_spl
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1394,f63]) ).
fof(f1425,plain,
( ~ sQ68_spl
| product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f1394,f62]) ).
fof(f1426,plain,
( ~ sQ68_spl
| sQ84_spl
| sQ83_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1421,f377,f380,f386,f389,f333]) ).
fof(f1427,plain,
( ~ sQ68_spl
| sQ64_spl
| sQ63_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1422,f308,f311,f317,f320,f333]) ).
fof(f1429,plain,
( ~ sQ68_spl
| sQ74_spl
| sQ73_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f1424,f340,f343,f349,f352,f333]) ).
fof(f1430,plain,
( ~ sQ68_spl
| sQ79_spl
| sQ78_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f1425,f356,f359,f365,f368,f333]) ).
fof(f1431,plain,
( ~ sQ18_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f931,f67]) ).
fof(f1432,plain,
( ~ sQ18_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1431]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ57_spl
| product(e_3,X0,e_5)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f547,f1021]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ45_spl
| product(e_1,X0,e_5)
| product(e_1,X0,e_3)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1280,f1197]) ).
fof(f1437,plain,
( ~ sQ12_spl
| ~ sQ57_spl
| product(e_3,e_5,e_5)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f1435,f66]) ).
fof(f1439,plain,
( ~ sQ12_spl
| ~ sQ57_spl
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f1435,f64]) ).
fof(f1440,plain,
( ~ sQ12_spl
| ~ sQ57_spl
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f1435,f63]) ).
fof(f1442,plain,
( ~ sQ12_spl
| ~ sQ57_spl
| sQ99_spl
| sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f1437,f428,f431,f437,f294,f140]) ).
fof(f1444,plain,
( ~ sQ12_spl
| ~ sQ57_spl
| sQ4_spl
| sQ2_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f1439,f105,f108,f114,f294,f140]) ).
fof(f1445,plain,
( ~ sQ12_spl
| ~ sQ57_spl
| sQ9_spl
| sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f1440,f121,f124,f130,f294,f140]) ).
fof(f1447,plain,
( ~ sQ35_spl
| ~ sQ45_spl
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f1436,f66]) ).
fof(f1449,plain,
( ~ sQ35_spl
| ~ sQ45_spl
| product(e_1,e_3,e_5)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f1436,f64]) ).
fof(f1451,plain,
( ~ sQ35_spl
| ~ sQ45_spl
| product(e_1,e_1,e_5)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f1436,f62]) ).
fof(f1452,plain,
( ~ sQ35_spl
| ~ sQ45_spl
| sQ89_spl
| sQ87_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f1447,f393,f399,f405,f256,f220]) ).
fof(f1454,plain,
( ~ sQ35_spl
| ~ sQ45_spl
| sQ34_spl
| sQ32_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1449,f204,f210,f216,f256,f220]) ).
fof(f1456,plain,
( ~ sQ35_spl
| ~ sQ45_spl
| sQ44_spl
| sQ42_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1451,f236,f242,f248,f256,f220]) ).
fof(f1457,plain,
( ~ sQ35_spl
| 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_1) ),
inference(resolution,[status(thm)],[f1280,f66]) ).
fof(f1458,plain,
( ~ sQ35_spl
| 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_1) ),
inference(resolution,[status(thm)],[f1280,f65]) ).
fof(f1459,plain,
( ~ sQ35_spl
| 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_1) ),
inference(resolution,[status(thm)],[f1280,f64]) ).
fof(f1461,plain,
( ~ sQ35_spl
| 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_1) ),
inference(resolution,[status(thm)],[f1280,f62]) ).
fof(f1462,plain,
( ~ sQ35_spl
| sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f1457,f393,f399,f402,f405,f220]) ).
fof(f1463,plain,
( ~ sQ35_spl
| sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f1458,f256,f262,f265,f268,f220]) ).
fof(f1464,plain,
( ~ sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1459,f204,f210,f213,f216,f220]) ).
fof(f1466,plain,
( ~ sQ35_spl
| sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1461,f236,f242,f245,f248,f220]) ).
fof(f1500,plain,
( ~ sQ66_spl
| ~ sQ17_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f744,f328]) ).
fof(f1501,plain,
( ~ sQ66_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1500,f81]) ).
fof(f1502,plain,
( ~ sQ66_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1501]) ).
fof(f1503,plain,
( ~ sQ65_spl
| ~ sQ76_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1258,f325]) ).
fof(f1504,plain,
( ~ sQ65_spl
| ~ sQ76_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1503,f162,f359,f324]) ).
fof(f1505,plain,
( ~ sQ11_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1253,f81]) ).
fof(f1506,plain,
( ~ sQ11_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f1505]) ).
fof(f1507,plain,
( ~ sQ43_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1167,f79]) ).
fof(f1508,plain,
( ~ sQ43_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1507]) ).
fof(f1551,plain,
( ~ sQ67_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1400,f331]) ).
fof(f1552,plain,
( ~ sQ67_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1397,f331]) ).
fof(f1554,plain,
( ~ sQ67_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1399,f331]) ).
fof(f1556,plain,
( ~ sQ64_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1410,f321]) ).
fof(f1557,plain,
( ~ sQ64_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1411,f321]) ).
fof(f1558,plain,
( ~ sQ64_spl
| ~ sQ54_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1039,f321]) ).
fof(f1559,plain,
( ~ sQ64_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1558,f80]) ).
fof(f1560,plain,
( ~ sQ64_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1559]) ).
fof(f1561,plain,
( ~ sQ67_spl
| ~ sQ62_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f315,f1398]) ).
fof(f1562,plain,
( ~ sQ67_spl
| ~ sQ62_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f315,f1400]) ).
fof(f1563,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f315,f93]) ).
fof(f1564,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f315,f91]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f315,f89]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ62_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f315,f95]) ).
fof(f1567,plain,
( ~ sQ67_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1561,f81]) ).
fof(f1568,plain,
( ~ sQ67_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1567]) ).
fof(f1569,plain,
( ~ sQ13_spl
| ~ sQ55_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1031,f314,f288,f143]) ).
fof(f1572,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f312,f93]) ).
fof(f1573,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f312,f91]) ).
fof(f1574,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f312,f89]) ).
fof(f1575,plain,
! [X0] :
( ~ sQ61_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f312,f95]) ).
fof(f1576,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f309,f93]) ).
fof(f1577,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f309,f91]) ).
fof(f1578,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f309,f89]) ).
fof(f1579,plain,
! [X0] :
( ~ sQ60_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f309,f95]) ).
fof(f1580,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f438,f93]) ).
fof(f1581,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f438,f91]) ).
fof(f1582,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f438,f89]) ).
fof(f1583,plain,
! [X0] :
( ~ sQ99_spl
| product(e_5,X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f438,f95]) ).
fof(f1584,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f435,f93]) ).
fof(f1585,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f435,f91]) ).
fof(f1586,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f435,f89]) ).
fof(f1587,plain,
! [X0] :
( ~ sQ98_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f435,f95]) ).
fof(f1618,plain,
( ~ sQ60_spl
| ~ sQ79_spl
| product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f1204,f309]) ).
fof(f1619,plain,
( ~ sQ61_spl
| ~ sQ72_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f1298,f312]) ).
fof(f1620,plain,
( ~ sQ61_spl
| ~ sQ72_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f1619,f297,f346,f311]) ).
fof(f1621,plain,
( ~ sQ98_spl
| ~ sQ57_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f1021,f435]) ).
fof(f1622,plain,
( ~ sQ99_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f1583,f438]) ).
fof(f1623,plain,
( ~ sQ99_spl
| ~ sQ98_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1587,f438]) ).
fof(f1624,plain,
( ~ sQ60_spl
| ~ sQ45_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1194,f309]) ).
fof(f1625,plain,
( ~ sQ60_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1624,f79]) ).
fof(f1626,plain,
( ~ sQ60_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f1625]) ).
fof(f1637,plain,
( ~ sQ99_spl
| ~ sQ14_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f528,f438]) ).
fof(f1638,plain,
( ~ sQ99_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1637,f83]) ).
fof(f1639,plain,
( ~ sQ99_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f1638]) ).
fof(f1641,plain,
( ~ sQ60_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1577,f309]) ).
fof(f1642,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1578,f309]) ).
fof(f1645,plain,
( ~ sQ98_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1586,f435]) ).
fof(f1646,plain,
( ~ sQ60_spl
| ~ sQ70_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1357,f309]) ).
fof(f1647,plain,
( ~ sQ60_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1646,f80]) ).
fof(f1648,plain,
( ~ sQ60_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f1647]) ).
fof(f1650,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ26_spl
| product(e_2,X0,e_5)
| product(e_2,X0,e_4)
| product(e_2,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1103,f644]) ).
fof(f1661,plain,
( ~ sQ98_spl
| ~ sQ97_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f432,f1586]) ).
fof(f1662,plain,
( ~ sQ4_spl
| ~ sQ97_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f432,f612]) ).
fof(f1663,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f432,f93]) ).
fof(f1664,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f432,f91]) ).
fof(f1665,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f432,f89]) ).
fof(f1666,plain,
! [X0] :
( ~ sQ97_spl
| product(e_3,X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f432,f95]) ).
fof(f1667,plain,
( ~ sQ98_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1661,f77]) ).
fof(f1668,plain,
( ~ sQ98_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f1667]) ).
fof(f1669,plain,
( ~ sQ11_spl
| ~ sQ96_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f429,f554]) ).
fof(f1670,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f429,f93]) ).
fof(f1671,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f429,f91]) ).
fof(f1672,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f429,f89]) ).
fof(f1673,plain,
! [X0] :
( ~ sQ96_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f429,f95]) ).
fof(f1674,plain,
( ~ sQ11_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1669,f83]) ).
fof(f1675,plain,
( ~ sQ11_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f1674]) ).
fof(f1676,plain,
( ~ sQ14_spl
| ~ sQ95_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f426,f530]) ).
fof(f1677,plain,
( ~ sQ11_spl
| ~ sQ95_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f426,f556]) ).
fof(f1678,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f426,f93]) ).
fof(f1679,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f426,f91]) ).
fof(f1680,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f426,f89]) ).
fof(f1681,plain,
! [X0] :
( ~ sQ95_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f426,f95]) ).
fof(f1682,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f422,f93]) ).
fof(f1683,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f422,f91]) ).
fof(f1684,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f422,f89]) ).
fof(f1685,plain,
! [X0] :
( ~ sQ94_spl
| product(e_5,X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f422,f95]) ).
fof(f1686,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f419,f93]) ).
fof(f1687,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f419,f91]) ).
fof(f1688,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f419,f89]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ93_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f419,f95]) ).
fof(f1690,plain,
( ~ sQ16_spl
| ~ sQ92_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f416,f760]) ).
fof(f1691,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f416,f93]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f416,f91]) ).
fof(f1693,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f416,f89]) ).
fof(f1694,plain,
! [X0] :
( ~ sQ92_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f416,f95]) ).
fof(f1706,plain,
( ~ sQ94_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f1685,f422]) ).
fof(f1707,plain,
( ~ sQ94_spl
| ~ sQ93_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1689,f422]) ).
fof(f1708,plain,
( ~ sQ94_spl
| ~ sQ92_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f1694,f422]) ).
fof(f1709,plain,
( ~ sQ94_spl
| ~ sQ92_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f1708,f428,f415,f421]) ).
fof(f1710,plain,
( ~ sQ16_spl
| ~ sQ11_spl
| ~ sQ95_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f1677,f760]) ).
fof(f1711,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ95_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1677,f93]) ).
fof(f1712,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ95_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1677,f91]) ).
fof(f1713,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ95_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1677,f89]) ).
fof(f1714,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ95_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1677,f95]) ).
fof(f1715,plain,
( ~ sQ11_spl
| ~ sQ95_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1711,f1677]) ).
fof(f1716,plain,
( ~ sQ11_spl
| ~ sQ95_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1712,f1677]) ).
fof(f1717,plain,
( ~ sQ11_spl
| ~ sQ95_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1713,f1677]) ).
fof(f1718,plain,
( ~ sQ93_spl
| ~ sQ11_spl
| ~ sQ95_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1713,f419]) ).
fof(f1719,plain,
( ~ sQ93_spl
| ~ sQ11_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1718,f81]) ).
fof(f1720,plain,
( ~ sQ93_spl
| ~ sQ11_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f1719]) ).
fof(f1751,plain,
( ~ sQ93_spl
| ~ sQ54_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f1042,f419]) ).
fof(f1752,plain,
( ~ sQ78_spl
| ~ sQ38_spl
| ~ sQ46_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f1185,f1209]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ46_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1185,f93]) ).
fof(f1754,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ46_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1185,f91]) ).
fof(f1755,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f1185,f89]) ).
fof(f1756,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ46_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f1185,f95]) ).
fof(f1757,plain,
( ~ sQ78_spl
| ~ sQ38_spl
| ~ sQ46_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1752,f317,f259,f229,f365]) ).
fof(f1758,plain,
! [X0] :
( ~ sQ78_spl
| product(e_4,X0,e_5)
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f255,f1209]) ).
fof(f1769,plain,
( ~ sQ95_spl
| ~ sQ13_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f539,f426]) ).
fof(f1770,plain,
( ~ sQ93_spl
| ~ sQ53_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1048,f419]) ).
fof(f1771,plain,
( ~ sQ95_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1678,f426]) ).
fof(f1772,plain,
( ~ sQ95_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1679,f426]) ).
fof(f1773,plain,
( ~ sQ95_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1680,f426]) ).
fof(f1777,plain,
( ~ sQ93_spl
| ~ sQ91_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f413,f1688]) ).
fof(f1778,plain,
( ~ sQ24_spl
| ~ sQ91_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f413,f662]) ).
fof(f1779,plain,
( ~ sQ26_spl
| ~ sQ91_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f413,f642]) ).
fof(f1780,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f413,f93]) ).
fof(f1781,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f413,f91]) ).
fof(f1782,plain,
! [X0] :
( ~ sQ91_spl
| equalish(X0,e_2)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f413,f89]) ).
fof(f1783,plain,
! [X0] :
( ~ sQ91_spl
| product(e_2,X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f413,f95]) ).
fof(f1784,plain,
( ~ sQ93_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1777,f73]) ).
fof(f1785,plain,
( ~ sQ93_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f1784]) ).
fof(f1786,plain,
( ~ sQ93_spl
| ~ sQ90_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f410,f1688]) ).
fof(f1787,plain,
( ~ sQ26_spl
| ~ sQ90_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f410,f644]) ).
fof(f1788,plain,
( ~ sQ95_spl
| ~ sQ90_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f410,f1678]) ).
fof(f1789,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f410,f93]) ).
fof(f1790,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f410,f91]) ).
fof(f1791,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f410,f89]) ).
fof(f1792,plain,
! [X0] :
( ~ sQ90_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f410,f95]) ).
fof(f1793,plain,
( ~ sQ93_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1786,f69]) ).
fof(f1794,plain,
( ~ sQ93_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f1793]) ).
fof(f1795,plain,
( ~ sQ34_spl
| ~ sQ89_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f406,f927]) ).
fof(f1796,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f406,f93]) ).
fof(f1797,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f406,f91]) ).
fof(f1798,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f406,f89]) ).
fof(f1799,plain,
! [X0] :
( ~ sQ89_spl
| product(e_5,X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f406,f95]) ).
fof(f1800,plain,
( ~ sQ34_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1795,f85]) ).
fof(f1801,plain,
( ~ sQ34_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1800]) ).
fof(f1802,plain,
( ~ sQ49_spl
| ~ sQ88_spl
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f403,f1080]) ).
fof(f1803,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f403,f93]) ).
fof(f1804,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f403,f91]) ).
fof(f1805,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f403,f89]) ).
fof(f1806,plain,
! [X0] :
( ~ sQ88_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f403,f95]) ).
fof(f1807,plain,
( ~ sQ42_spl
| ~ sQ87_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f400,f786]) ).
fof(f1808,plain,
( ~ sQ34_spl
| ~ sQ87_spl
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f400,f929]) ).
fof(f1809,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f400,f93]) ).
fof(f1810,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f400,f91]) ).
fof(f1811,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f400,f89]) ).
fof(f1812,plain,
! [X0] :
( ~ sQ87_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f400,f95]) ).
fof(f1813,plain,
( ~ sQ42_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1807,f83]) ).
fof(f1814,plain,
( ~ sQ42_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f1813]) ).
fof(f1815,plain,
( ~ sQ36_spl
| ~ sQ86_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f397,f910]) ).
fof(f1816,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f397,f93]) ).
fof(f1817,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f397,f91]) ).
fof(f1818,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f397,f89]) ).
fof(f1819,plain,
! [X0] :
( ~ sQ86_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f397,f95]) ).
fof(f1820,plain,
( ~ sQ36_spl
| ~ sQ86_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1815,f409,f396,f223]) ).
fof(f1832,plain,
( ~ sQ88_spl
| ~ sQ47_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f1182,f403]) ).
fof(f1833,plain,
( ~ sQ95_spl
| ~ sQ55_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1033,f426]) ).
fof(f1834,plain,
( ~ sQ95_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1833,f86]) ).
fof(f1835,plain,
( ~ sQ95_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1834]) ).
fof(f1877,plain,
( ~ sQ88_spl
| ~ sQ48_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1173,f403]) ).
fof(f1878,plain,
( ~ sQ88_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1803,f403]) ).
fof(f1879,plain,
( ~ sQ88_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1804,f403]) ).
fof(f1880,plain,
( ~ sQ88_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1805,f403]) ).
fof(f1881,plain,
( ~ sQ88_spl
| ~ sQ85_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f394,f1805]) ).
fof(f1882,plain,
( ~ sQ35_spl
| ~ sQ85_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f394,f919]) ).
fof(f1883,plain,
( ~ sQ44_spl
| ~ sQ85_spl
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f394,f776]) ).
fof(f1884,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f394,f93]) ).
fof(f1885,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f394,f91]) ).
fof(f1886,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f394,f89]) ).
fof(f1887,plain,
! [X0] :
( ~ sQ85_spl
| product(e_1,X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f394,f95]) ).
fof(f1888,plain,
( ~ sQ88_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1881,f69]) ).
fof(f1889,plain,
( ~ sQ88_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1888]) ).
fof(f1890,plain,
( ~ sQ38_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1169,f80]) ).
fof(f1891,plain,
( ~ sQ38_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f1890]) ).
fof(f1892,plain,
! [X0] :
( ~ sQ91_spl
| 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(backward_subsumption_resolution,[status(thm)],[f97,f1783]) ).
fof(f1893,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f390,f93]) ).
fof(f1894,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f390,f91]) ).
fof(f1895,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f390,f89]) ).
fof(f1896,plain,
! [X0] :
( ~ sQ84_spl
| product(e_5,X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f390,f95]) ).
fof(f1897,plain,
( ~ sQ63_spl
| ~ sQ83_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f387,f1415]) ).
fof(f1898,plain,
( ~ sQ88_spl
| ~ sQ83_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f387,f1803]) ).
fof(f1899,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f387,f93]) ).
fof(f1900,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f387,f91]) ).
fof(f1901,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f387,f89]) ).
fof(f1902,plain,
! [X0] :
( ~ sQ83_spl
| product(e_4,X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f387,f95]) ).
fof(f1903,plain,
( ~ sQ63_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1897,f86]) ).
fof(f1904,plain,
( ~ sQ63_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f1903]) ).
fof(f1905,plain,
( ~ sQ67_spl
| ~ sQ82_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f384,f1400]) ).
fof(f1906,plain,
( ~ sQ92_spl
| ~ sQ82_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f384,f1691]) ).
fof(f1907,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f384,f93]) ).
fof(f1908,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f384,f91]) ).
fof(f1909,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f384,f89]) ).
fof(f1910,plain,
! [X0] :
( ~ sQ82_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f384,f95]) ).
fof(f1911,plain,
( ~ sQ92_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1906,f80]) ).
fof(f1912,plain,
( ~ sQ92_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f1911]) ).
fof(f1913,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ26_spl
| product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1892,f644]) ).
fof(f1914,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ91_spl
| product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f709,f1783]) ).
fof(f1915,plain,
( ~ sQ26_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1779,f83]) ).
fof(f1916,plain,
( ~ sQ26_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f1915]) ).
fof(f1917,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f381,f93]) ).
fof(f1918,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f381,f91]) ).
fof(f1919,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f381,f89]) ).
fof(f1920,plain,
! [X0] :
( ~ sQ81_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f381,f95]) ).
fof(f1921,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f378,f93]) ).
fof(f1922,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f378,f91]) ).
fof(f1923,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_1)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f378,f89]) ).
fof(f1924,plain,
! [X0] :
( ~ sQ80_spl
| product(e_1,X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f378,f95]) ).
fof(f1926,plain,
( ~ sQ91_spl
| 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)],[f1892,f65]) ).
fof(f1927,plain,
( ~ sQ91_spl
| 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)],[f1892,f64]) ).
fof(f1928,plain,
( ~ sQ91_spl
| 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)],[f1892,f63]) ).
fof(f1929,plain,
( ~ sQ91_spl
| 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)],[f1892,f62]) ).
fof(f1931,plain,
( ~ sQ91_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1926,f272,f275,f278,f281,f412]) ).
fof(f1932,plain,
( ~ sQ91_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1927,f153,f156,f159,f162,f412]) ).
fof(f1933,plain,
( ~ sQ91_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1928,f169,f172,f175,f178,f412]) ).
fof(f1934,plain,
( ~ sQ91_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1929,f185,f188,f191,f194,f412]) ).
fof(f1937,plain,
( ~ sQ25_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f655,f239,f185]) ).
fof(f1939,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ30_spl
| product(e_1,X0,e_5)
| product(e_1,X0,e_4)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1280,f949]) ).
fof(f1941,plain,
( ~ sQ99_spl
| ~ sQ98_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1623,f383,f434,f437]) ).
fof(f1972,plain,
( ~ sQ84_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f1896,f390]) ).
fof(f1973,plain,
( ~ sQ80_spl
| ~ sQ75_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f1276,f378]) ).
fof(f1974,plain,
( ~ sQ84_spl
| ~ sQ81_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f1920,f390]) ).
fof(f1975,plain,
( ~ sQ88_spl
| ~ sQ84_spl
| ~ sQ81_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1974,f1803]) ).
fof(f1976,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1974,f93]) ).
fof(f1977,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ81_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1974,f91]) ).
fof(f1978,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ81_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1974,f89]) ).
fof(f1979,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ81_spl
| product(e_4,X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1974,f95]) ).
fof(f1980,plain,
( ~ sQ88_spl
| ~ sQ84_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1975,f71]) ).
fof(f1981,plain,
( ~ sQ88_spl
| ~ sQ84_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f1980]) ).
fof(f1982,plain,
( ~ sQ84_spl
| ~ sQ80_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f1924,f390]) ).
fof(f1984,plain,
( ~ sQ88_spl
| ~ sQ98_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1584,f403]) ).
fof(f1985,plain,
( ~ sQ88_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1984,f68]) ).
fof(f1986,plain,
( ~ sQ88_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f1985]) ).
fof(f1987,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ85_spl
| product(e_1,X0,e_4)
| product(e_1,X0,e_3)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1280,f1887]) ).
fof(f1988,plain,
( ~ sQ35_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1882,f84]) ).
fof(f1989,plain,
( ~ sQ35_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1988]) ).
fof(f1990,plain,
( ~ sQ84_spl
| ~ sQ80_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1982,f402,f377,f389]) ).
fof(f1992,plain,
( ~ sQ41_spl
| ~ sQ38_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f884,f356,f229,f239]) ).
fof(f1993,plain,
! [X0] :
( ~ sQ97_spl
| 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(backward_subsumption_resolution,[status(thm)],[f96,f1666]) ).
fof(f1994,plain,
( ~ sQ80_spl
| ~ sQ75_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1973,f402,f356,f377]) ).
fof(f1995,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ83_spl
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1294,f1902]) ).
fof(f2008,plain,
( ~ sQ73_spl
| ~ sQ83_spl
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f1995,f65]) ).
fof(f2009,plain,
( ~ sQ73_spl
| ~ sQ83_spl
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1995,f64]) ).
fof(f2011,plain,
( ~ sQ73_spl
| ~ sQ83_spl
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f1995,f62]) ).
fof(f2013,plain,
( ~ sQ73_spl
| ~ sQ83_spl
| sQ63_spl
| sQ62_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f2008,f308,f314,f317,f386,f349]) ).
fof(f2014,plain,
( ~ sQ73_spl
| ~ sQ83_spl
| sQ68_spl
| sQ67_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f2009,f324,f330,f333,f386,f349]) ).
fof(f2016,plain,
( ~ sQ73_spl
| ~ sQ83_spl
| sQ78_spl
| sQ77_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f2011,f356,f362,f365,f386,f349]) ).
fof(f2017,plain,
! [X0] :
( ~ sQ83_spl
| 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(forward_subsumption_resolution,[status(thm)],[f255,f1902]) ).
fof(f2018,plain,
( ~ sQ26_spl
| ~ sQ90_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f1787,f412,f409,f188]) ).
fof(f2019,plain,
( ~ sQ95_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1788,f72]) ).
fof(f2020,plain,
( ~ sQ95_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f2019]) ).
fof(f2053,plain,
( ~ sQ97_spl
| 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)],[f1993,f65]) ).
fof(f2054,plain,
( ~ sQ97_spl
| 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)],[f1993,f64]) ).
fof(f2055,plain,
( ~ sQ97_spl
| 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)],[f1993,f63]) ).
fof(f2056,plain,
( ~ sQ97_spl
| 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)],[f1993,f62]) ).
fof(f2058,plain,
( ~ sQ97_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f2053,f288,f291,f294,f297,f431]) ).
fof(f2059,plain,
( ~ sQ97_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f2054,f102,f105,f108,f111,f431]) ).
fof(f2060,plain,
( ~ sQ97_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f2055,f118,f121,f124,f127,f431]) ).
fof(f2061,plain,
( ~ sQ97_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f2056,f134,f137,f140,f143,f431]) ).
fof(f2063,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ57_spl
| ~ sQ97_spl
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1435,f1666]) ).
fof(f2074,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ57_spl
| ~ sQ97_spl
| ~ sQ7_spl
| product(e_3,X0,e_3)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2063,f575]) ).
fof(f2075,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ12_spl
| product(e_3,X0,e_5)
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f576,f546]) ).
fof(f2078,plain,
( ~ sQ12_spl
| ~ sQ57_spl
| ~ sQ97_spl
| ~ sQ7_spl
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f2074,f64]) ).
fof(f2081,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1832,f93]) ).
fof(f2082,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ47_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1832,f91]) ).
fof(f2083,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1832,f89]) ).
fof(f2084,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ47_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1832,f95]) ).
fof(f2085,plain,
! [X0] :
( ~ sQ124_spl
| ~ greater(e_5,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f523,f61]) ).
fof(f2086,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f523,f93]) ).
fof(f2087,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f523,f91]) ).
fof(f2088,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f523,f89]) ).
fof(f2089,plain,
! [X0] :
( ~ sQ124_spl
| product(e_5,X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f523,f95]) ).
fof(f2090,plain,
! [X0] :
( ~ sQ124_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f376,f2089]) ).
fof(f2092,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f520,f93]) ).
fof(f2093,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f520,f91]) ).
fof(f2094,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f520,f89]) ).
fof(f2095,plain,
! [X0] :
( ~ sQ123_spl
| product(e_4,X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f520,f95]) ).
fof(f2096,plain,
! [X0] :
( ~ sQ122_spl
| ~ greater(e_3,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f517,f61]) ).
fof(f2097,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f517,f93]) ).
fof(f2098,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f517,f91]) ).
fof(f2099,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f517,f89]) ).
fof(f2100,plain,
! [X0] :
( ~ sQ122_spl
| product(e_3,X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f517,f95]) ).
fof(f2101,plain,
( ~ sQ124_spl
| 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) ),
inference(resolution,[status(thm)],[f2090,f66]) ).
fof(f2102,plain,
( ~ sQ124_spl
| 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) ),
inference(resolution,[status(thm)],[f2090,f65]) ).
fof(f2103,plain,
( ~ sQ124_spl
| 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) ),
inference(resolution,[status(thm)],[f2090,f64]) ).
fof(f2104,plain,
( ~ sQ124_spl
| 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) ),
inference(resolution,[status(thm)],[f2090,f63]) ).
fof(f2106,plain,
( ~ sQ124_spl
| sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f2101,f449,f452,f455,f458,f522]) ).
fof(f2107,plain,
( ~ sQ124_spl
| sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2102,f465,f468,f471,f474,f522]) ).
fof(f2108,plain,
( ~ sQ124_spl
| sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f2103,f481,f484,f487,f490,f522]) ).
fof(f2109,plain,
( ~ sQ124_spl
| sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f2104,f497,f500,f503,f506,f522]) ).
fof(f2121,plain,
( ~ sQ88_spl
| ~ sQ47_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f2081,f1832]) ).
fof(f2123,plain,
( ~ sQ88_spl
| ~ sQ47_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2083,f1832]) ).
fof(f2124,plain,
( ~ sQ88_spl
| ~ sQ47_spl
| ~ sQ12_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f546,f1832]) ).
fof(f2125,plain,
( ~ sQ88_spl
| ~ sQ47_spl
| ~ sQ97_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1665,f1832]) ).
fof(f2126,plain,
( ~ sQ88_spl
| ~ sQ47_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2125,f68]) ).
fof(f2127,plain,
( ~ sQ88_spl
| ~ sQ47_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f2126]) ).
fof(f2138,plain,
( ~ sQ75_spl
| ~ sQ38_spl
| ~ sQ46_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f1185,f1276]) ).
fof(f2143,plain,
( ~ sQ75_spl
| ~ sQ38_spl
| ~ sQ46_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f2138,f265,f259,f229,f356]) ).
fof(f2144,plain,
! [X0] :
( ~ sQ45_spl
| product(e_1,X0,e_5)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f98,f1197]) ).
fof(f2157,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ45_spl
| product(e_1,X0,e_5)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f950,f1197]) ).
fof(f2159,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f507,f93]) ).
fof(f2160,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f507,f91]) ).
fof(f2161,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f507,f89]) ).
fof(f2162,plain,
! [X0] :
( ~ sQ119_spl
| product(e_5,X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f507,f95]) ).
fof(f2163,plain,
! [X0] :
( ~ sQ119_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_3)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f376,f2162]) ).
fof(f2164,plain,
( ~ sQ23_spl
| ~ sQ118_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f504,f666]) ).
fof(f2165,plain,
( ~ sQ38_spl
| ~ sQ118_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f504,f875]) ).
fof(f2166,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f504,f93]) ).
fof(f2167,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f504,f91]) ).
fof(f2168,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f504,f89]) ).
fof(f2169,plain,
! [X0] :
( ~ sQ118_spl
| product(e_4,X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f504,f95]) ).
fof(f2170,plain,
( ~ sQ23_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2164,f84]) ).
fof(f2171,plain,
( ~ sQ23_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f2170]) ).
fof(f2172,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f501,f93]) ).
fof(f2173,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f501,f91]) ).
fof(f2174,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f501,f89]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ117_spl
| product(e_3,X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f501,f95]) ).
fof(f2176,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f498,f93]) ).
fof(f2177,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f498,f91]) ).
fof(f2178,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f498,f89]) ).
fof(f2179,plain,
! [X0] :
( ~ sQ116_spl
| product(e_2,X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f498,f95]) ).
fof(f2180,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f491,f93]) ).
fof(f2181,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f491,f91]) ).
fof(f2182,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f491,f89]) ).
fof(f2183,plain,
! [X0] :
( ~ sQ114_spl
| product(e_5,X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f491,f95]) ).
fof(f2184,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ114_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2163,f2183]) ).
fof(f2185,plain,
( ~ sQ119_spl
| ~ sQ114_spl
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f2184,f66]) ).
fof(f2186,plain,
( ~ sQ119_spl
| ~ sQ114_spl
| product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f2184,f65]) ).
fof(f2189,plain,
( ~ sQ119_spl
| ~ sQ114_spl
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f2184,f62]) ).
fof(f2190,plain,
( ~ sQ119_spl
| ~ sQ114_spl
| sQ104_spl
| sQ103_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f2185,f446,f455,f458,f490,f506]) ).
fof(f2191,plain,
( ~ sQ119_spl
| ~ sQ114_spl
| sQ109_spl
| sQ108_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f2186,f462,f471,f474,f490,f506]) ).
fof(f2194,plain,
( ~ sQ119_spl
| ~ sQ114_spl
| sQ124_spl
| sQ123_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f2189,f510,f519,f522,f490,f506]) ).
fof(f2246,plain,
( ~ sQ116_spl
| ~ sQ117_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f2175,f498]) ).
fof(f2247,plain,
( ~ sQ116_spl
| ~ sQ117_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f2246,f130,f500,f497]) ).
fof(f2248,plain,
( ~ sQ123_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f2092,f520]) ).
fof(f2249,plain,
( ~ sQ123_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2093,f520]) ).
fof(f2250,plain,
( ~ sQ123_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f2094,f520]) ).
fof(f2251,plain,
( ~ sQ123_spl
| ~ sQ78_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1206,f520]) ).
fof(f2252,plain,
( ~ sQ123_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2251,f86]) ).
fof(f2253,plain,
( ~ sQ123_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f2252]) ).
fof(f2275,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f488,f93]) ).
fof(f2276,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f488,f91]) ).
fof(f2277,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f488,f89]) ).
fof(f2278,plain,
! [X0] :
( ~ sQ113_spl
| product(e_4,X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f488,f95]) ).
fof(f2279,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f475,f93]) ).
fof(f2280,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f475,f91]) ).
fof(f2281,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f475,f89]) ).
fof(f2282,plain,
! [X0] :
( ~ sQ109_spl
| product(e_5,X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f475,f95]) ).
fof(f2283,plain,
! [X0] :
( ~ sQ109_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f376,f2282]) ).
fof(f2284,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f472,f93]) ).
fof(f2285,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f472,f91]) ).
fof(f2286,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f472,f89]) ).
fof(f2287,plain,
! [X0] :
( ~ sQ108_spl
| product(e_4,X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f472,f95]) ).
fof(f2288,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f459,f1796]) ).
fof(f2289,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f93]) ).
fof(f2290,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f459,f91]) ).
fof(f2291,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f459,f89]) ).
fof(f2293,plain,
( ~ sQ89_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2288,f83]) ).
fof(f2294,plain,
( ~ sQ89_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f2293]) ).
fof(f2295,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f112,f746]) ).
fof(f2296,plain,
( ~ sQ56_spl
| ~ sQ3_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f112,f1028]) ).
fof(f2297,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f112,f93]) ).
fof(f2298,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f112,f91]) ).
fof(f2299,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f112,f89]) ).
fof(f2300,plain,
! [X0] :
( ~ sQ3_spl
| product(e_4,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f112,f95]) ).
fof(f2301,plain,
( ~ sQ17_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2295,f80]) ).
fof(f2302,plain,
( ~ sQ17_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f2301]) ).
fof(f2303,plain,
( ~ sQ67_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f1551,f111,f330]) ).
fof(f2305,plain,
( ~ sQ16_spl
| ~ sQ92_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f1690,f412,f415,f156]) ).
fof(f2306,plain,
( ~ sQ56_spl
| ~ sQ3_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f2296,f159,f111,f291]) ).
fof(f2307,plain,
( ~ sQ4_spl
| ~ sQ2_spl
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f612]) ).
fof(f2308,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f93]) ).
fof(f2309,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f109,f91]) ).
fof(f2310,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f109,f89]) ).
fof(f2322,plain,
( ~ sQ109_spl
| product(e_5,e_5,e_5)
| 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)],[f2283,f66]) ).
fof(f2324,plain,
( ~ sQ109_spl
| product(e_5,e_3,e_5)
| 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)],[f2283,f64]) ).
fof(f2325,plain,
( ~ sQ109_spl
| product(e_5,e_2,e_5)
| 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)],[f2283,f63]) ).
fof(f2326,plain,
( ~ sQ109_spl
| product(e_5,e_1,e_5)
| 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)],[f2283,f62]) ).
fof(f2327,plain,
( ~ sQ109_spl
| sQ104_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f2322,f446,f449,f452,f458,f474]) ).
fof(f2329,plain,
( ~ sQ109_spl
| sQ114_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f2324,f478,f481,f484,f490,f474]) ).
fof(f2330,plain,
( ~ sQ109_spl
| sQ119_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f2325,f494,f497,f500,f506,f474]) ).
fof(f2331,plain,
( ~ sQ109_spl
| sQ124_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f2326,f510,f513,f516,f522,f474]) ).
fof(f2362,plain,
( ~ sQ108_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f2287,f472]) ).
fof(f2363,plain,
( ~ sQ113_spl
| ~ sQ108_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f2287,f488]) ).
fof(f2364,plain,
( ~ sQ113_spl
| ~ sQ108_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f2363,f336,f471,f487]) ).
fof(f2365,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f611,f109]) ).
fof(f2366,plain,
( ~ sQ2_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2365,f78]) ).
fof(f2367,plain,
( ~ sQ2_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f2366]) ).
fof(f2368,plain,
( ~ sQ104_spl
| ~ sQ94_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1682,f459]) ).
fof(f2369,plain,
( ~ sQ104_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2368,f84]) ).
fof(f2370,plain,
( ~ sQ104_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f2369]) ).
fof(f2374,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f103,f611]) ).
fof(f2375,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f103,f539]) ).
fof(f2376,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f103,f93]) ).
fof(f2377,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f103,f91]) ).
fof(f2378,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f103,f89]) ).
fof(f2379,plain,
! [X0] :
( ~ sQ0_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f103,f95]) ).
fof(f2380,plain,
( ~ sQ4_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2374,f70]) ).
fof(f2381,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2380]) ).
fof(f2382,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f119,f579]) ).
fof(f2383,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f119,f539]) ).
fof(f2384,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f119,f93]) ).
fof(f2385,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f119,f91]) ).
fof(f2386,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f119,f89]) ).
fof(f2387,plain,
! [X0] :
( ~ sQ5_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f119,f95]) ).
fof(f2388,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2382,f67]) ).
fof(f2389,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f2388]) ).
fof(f2390,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f106,f611]) ).
fof(f2391,plain,
( ~ sQ96_spl
| ~ sQ1_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f106,f1671]) ).
fof(f2392,plain,
( ~ sQ56_spl
| ~ sQ1_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f106,f1026]) ).
fof(f2393,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f106,f942]) ).
fof(f2394,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f106,f93]) ).
fof(f2395,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f106,f91]) ).
fof(f2396,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f106,f89]) ).
fof(f2397,plain,
! [X0] :
( ~ sQ1_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f106,f95]) ).
fof(f2398,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2390,f74]) ).
fof(f2399,plain,
( ~ sQ4_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f2398]) ).
fof(f2432,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f556,f119]) ).
fof(f2433,plain,
( ~ sQ5_spl
| ~ sQ11_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f2432,f175,f137,f118]) ).
fof(f2455,plain,
( ~ sQ81_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f381,f1919]) ).
fof(f2456,plain,
( ~ sQ61_spl
| ~ sQ81_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f381,f1573]) ).
fof(f2457,plain,
( ~ sQ81_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f381,f1918]) ).
fof(f2458,plain,
( ~ sQ74_spl
| ~ sQ81_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f381,f1287]) ).
fof(f2459,plain,
( ~ sQ91_spl
| ~ sQ81_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f381,f1780]) ).
fof(f2460,plain,
( ~ sQ81_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f381,f1917]) ).
fof(f2461,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f381,f93]) ).
fof(f2462,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f381,f91]) ).
fof(f2463,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f381,f89]) ).
fof(f2464,plain,
! [X0] :
( ~ sQ81_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f381,f95]) ).
fof(f2465,plain,
( ~ sQ61_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2456,f86]) ).
fof(f2466,plain,
( ~ sQ61_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f2465]) ).
fof(f2467,plain,
( ~ sQ98_spl
| ~ sQ103_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f456,f1584]) ).
fof(f2469,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f456,f91]) ).
fof(f2470,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f456,f89]) ).
fof(f2472,plain,
( ~ sQ98_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2467,f85]) ).
fof(f2473,plain,
( ~ sQ98_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f2472]) ).
fof(f2474,plain,
( ~ sQ74_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f353,f1286]) ).
fof(f2475,plain,
( ~ sQ80_spl
| ~ sQ74_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f353,f1924]) ).
fof(f2476,plain,
( ~ sQ64_spl
| ~ sQ74_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f353,f1410]) ).
fof(f2477,plain,
( ~ sQ74_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f353,f1285]) ).
fof(f2478,plain,
( ~ sQ74_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f353,f1284]) ).
fof(f2483,plain,
( ~ sQ80_spl
| ~ sQ74_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f2475,f229,f352,f377]) ).
fof(f2484,plain,
( ~ sQ64_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2476,f73]) ).
fof(f2485,plain,
( ~ sQ64_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f2484]) ).
fof(f2488,plain,
( ~ sQ83_spl
| 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)],[f2017,f65]) ).
fof(f2489,plain,
( ~ sQ83_spl
| 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)],[f2017,f64]) ).
fof(f2490,plain,
( ~ sQ83_spl
| 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)],[f2017,f63]) ).
fof(f2491,plain,
( ~ sQ83_spl
| 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)],[f2017,f62]) ).
fof(f2493,plain,
( ~ sQ83_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f2488,f308,f311,f314,f317,f386]) ).
fof(f2494,plain,
( ~ sQ83_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f2489,f324,f327,f330,f333,f386]) ).
fof(f2495,plain,
( ~ sQ83_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f2490,f340,f343,f346,f349,f386]) ).
fof(f2496,plain,
( ~ sQ83_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f2491,f356,f359,f362,f365,f386]) ).
fof(f2497,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ51_spl
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1892,f1063]) ).
fof(f2500,plain,
( ~ sQ32_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f977,f102,f210]) ).
fof(f2501,plain,
( ~ sQ91_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2459,f80]) ).
fof(f2502,plain,
( ~ sQ91_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f2501]) ).
fof(f2503,plain,
( ~ sQ96_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2391,f78]) ).
fof(f2504,plain,
( ~ sQ96_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f2503]) ).
fof(f2545,plain,
( ~ sQ122_spl
| ~ sQ120_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f511,f2099]) ).
fof(f2546,plain,
( ~ sQ122_spl
| ~ sQ120_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f511,f2100]) ).
fof(f2547,plain,
! [X0] :
( ~ sQ120_spl
| ~ greater(e_1,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f511,f61]) ).
fof(f2548,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f511,f93]) ).
fof(f2549,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f511,f91]) ).
fof(f2550,plain,
! [X0] :
( ~ sQ120_spl
| equalish(X0,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f511,f89]) ).
fof(f2551,plain,
! [X0] :
( ~ sQ120_spl
| product(e_1,X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f511,f95]) ).
fof(f2552,plain,
( ~ sQ122_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2545,f68]) ).
fof(f2553,plain,
( ~ sQ122_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f2552]) ).
fof(f2554,plain,
( ~ sQ122_spl
| ~ sQ105_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f463,f2100]) ).
fof(f2555,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f463,f93]) ).
fof(f2556,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f463,f91]) ).
fof(f2557,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f463,f89]) ).
fof(f2558,plain,
! [X0] :
( ~ sQ105_spl
| product(e_1,X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f463,f95]) ).
fof(f2559,plain,
( ~ sQ122_spl
| ~ sQ105_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f2554,f300,f462,f516]) ).
fof(f2560,plain,
( ~ sQ80_spl
| ~ sQ100_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f447,f1921]) ).
fof(f2561,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f447,f93]) ).
fof(f2562,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f447,f91]) ).
fof(f2563,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f447,f89]) ).
fof(f2564,plain,
! [X0] :
( ~ sQ100_spl
| product(e_1,X0,e_5)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f447,f95]) ).
fof(f2565,plain,
( ~ sQ80_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2560,f86]) ).
fof(f2566,plain,
( ~ sQ80_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f2565]) ).
fof(f2567,plain,
( ~ sQ84_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f1972,f455,f389]) ).
fof(f2568,plain,
( ~ sQ15_spl
| ~ sQ52_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f1051,f259,f278,f153]) ).
fof(f2569,plain,
( ~ sQ108_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f2362,f320,f471]) ).
fof(f2580,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ45_spl
| ~ sQ35_spl
| product(e_1,X0,e_5)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2157,f921]) ).
fof(f2591,plain,
( ~ sQ66_spl
| ~ sQ94_spl
| ~ sQ93_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1707,f1402]) ).
fof(f2592,plain,
( ~ sQ71_spl
| ~ sQ94_spl
| ~ sQ93_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1707,f1301]) ).
fof(f2593,plain,
( ~ sQ71_spl
| ~ sQ94_spl
| ~ sQ93_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f1707,f1303]) ).
fof(f2594,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1707,f93]) ).
fof(f2595,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ93_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1707,f91]) ).
fof(f2596,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1707,f89]) ).
fof(f2597,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ93_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1707,f95]) ).
fof(f2598,plain,
( ~ sQ66_spl
| ~ sQ94_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2591,f85]) ).
fof(f2599,plain,
( ~ sQ66_spl
| ~ sQ94_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f2598]) ).
fof(f2600,plain,
( ~ sQ113_spl
| ~ sQ112_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f485,f2278]) ).
fof(f2601,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f485,f93]) ).
fof(f2602,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f485,f91]) ).
fof(f2603,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f485,f89]) ).
fof(f2604,plain,
! [X0] :
( ~ sQ112_spl
| product(e_3,X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f485,f95]) ).
fof(f2605,plain,
( ~ sQ116_spl
| ~ sQ111_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f482,f2177]) ).
fof(f2606,plain,
( ~ sQ116_spl
| ~ sQ111_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f482,f2179]) ).
fof(f2607,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f482,f93]) ).
fof(f2608,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f482,f91]) ).
fof(f2609,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f482,f89]) ).
fof(f2610,plain,
! [X0] :
( ~ sQ111_spl
| product(e_2,X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f482,f95]) ).
fof(f2611,plain,
( ~ sQ116_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2605,f76]) ).
fof(f2612,plain,
( ~ sQ116_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f2611]) ).
fof(f2613,plain,
( ~ sQ113_spl
| ~ sQ107_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f469,f2278]) ).
fof(f2614,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f469,f93]) ).
fof(f2615,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f469,f91]) ).
fof(f2616,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f469,f89]) ).
fof(f2617,plain,
! [X0] :
( ~ sQ107_spl
| product(e_3,X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f469,f95]) ).
fof(f2618,plain,
( ~ sQ113_spl
| ~ sQ107_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f2613,f320,f468,f487]) ).
fof(f2619,plain,
( ~ sQ116_spl
| ~ sQ106_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f466,f2177]) ).
fof(f2620,plain,
( ~ sQ116_spl
| ~ sQ106_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f466,f2179]) ).
fof(f2621,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f466,f93]) ).
fof(f2622,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f466,f91]) ).
fof(f2623,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f466,f89]) ).
fof(f2624,plain,
! [X0] :
( ~ sQ106_spl
| product(e_2,X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f466,f95]) ).
fof(f2625,plain,
( ~ sQ116_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2619,f80]) ).
fof(f2626,plain,
( ~ sQ116_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f2625]) ).
fof(f2628,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f453,f93]) ).
fof(f2629,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f453,f91]) ).
fof(f2630,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f453,f89]) ).
fof(f2631,plain,
! [X0] :
( ~ sQ102_spl
| product(e_3,X0,e_5)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f453,f95]) ).
fof(f2652,plain,
( ~ sQ102_spl
| ~ sQ112_spl
| product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f2604,f453]) ).
fof(f2653,plain,
( ~ sQ112_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f2604,f485]) ).
fof(f2654,plain,
( ~ sQ102_spl
| ~ sQ82_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1907,f453]) ).
fof(f2655,plain,
( ~ sQ102_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2654,f86]) ).
fof(f2656,plain,
( ~ sQ102_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f2655]) ).
fof(f2657,plain,
( ~ sQ102_spl
| ~ sQ112_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f2652,f437,f484,f452]) ).
fof(f2659,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ78_spl
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2017,f1209]) ).
fof(f2660,plain,
( ~ sQ60_spl
| ~ sQ79_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f1618,f471,f368,f308]) ).
fof(f2661,plain,
( ~ sQ11_spl
| ~ sQ95_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1677,f415,f425,f137]) ).
fof(f2662,plain,
( ~ sQ38_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2165,f83]) ).
fof(f2663,plain,
( ~ sQ38_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f2662]) ).
fof(f2664,plain,
( ~ sQ95_spl
| ~ sQ13_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1769,f383,f143,f425]) ).
fof(f2667,plain,
( ~ sQ17_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f743,f105,f159]) ).
fof(f2671,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ51_spl
| ~ sQ16_spl
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2497,f760]) ).
fof(f2675,plain,
( ~ sQ91_spl
| ~ sQ51_spl
| ~ sQ16_spl
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f2671,f63]) ).
fof(f2676,plain,
( ~ sQ91_spl
| ~ sQ51_spl
| ~ sQ16_spl
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f2671,f62]) ).
fof(f2680,plain,
( ~ sQ91_spl
| ~ sQ51_spl
| ~ sQ16_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f2675,f169,f172,f156,f275,f412]) ).
fof(f2681,plain,
( ~ sQ91_spl
| ~ sQ51_spl
| ~ sQ16_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f2676,f185,f188,f156,f275,f412]) ).
fof(f2682,plain,
! [X0] :
( ~ sQ85_spl
| 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(backward_subsumption_resolution,[status(thm)],[f98,f1887]) ).
fof(f2683,plain,
( ~ sQ112_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f2653,f114,f484]) ).
fof(f2684,plain,
( ~ sQ13_spl
| ~ sQ0_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f2375,f330,f102,f143]) ).
fof(f2685,plain,
( ~ sQ99_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1622,f452,f437]) ).
fof(f2686,plain,
( ~ sQ52_spl
| ~ sQ19_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1159,f465,f165,f278]) ).
fof(f2699,plain,
! [X0] :
( ~ sQ35_spl
| product(e_1,X0,e_5)
| product(e_1,X0,e_4)
| product(e_1,X0,e_3)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f98,f921]) ).
fof(f2702,plain,
( ~ sQ83_spl
| ~ sQ78_spl
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f2659,f65]) ).
fof(f2703,plain,
( ~ sQ83_spl
| ~ sQ78_spl
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f2659,f64]) ).
fof(f2704,plain,
( ~ sQ83_spl
| ~ sQ78_spl
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f2659,f63]) ).
fof(f2707,plain,
( ~ sQ83_spl
| ~ sQ78_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f2702,f311,f314,f317,f365,f386]) ).
fof(f2708,plain,
( ~ sQ83_spl
| ~ sQ78_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f2703,f327,f330,f333,f365,f386]) ).
fof(f2709,plain,
( ~ sQ83_spl
| ~ sQ78_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f2704,f343,f346,f349,f365,f386]) ).
fof(f2773,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f450,f93]) ).
fof(f2774,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f450,f91]) ).
fof(f2775,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f450,f89]) ).
fof(f2776,plain,
! [X0] :
( ~ sQ101_spl
| product(e_2,X0,e_5)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f450,f95]) ).
fof(f2777,plain,
! [X0] :
( ~ sQ121_spl
| ~ greater(e_2,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f514,f61]) ).
fof(f2778,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f514,f93]) ).
fof(f2779,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f514,f91]) ).
fof(f2780,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f514,f89]) ).
fof(f2781,plain,
! [X0] :
( ~ sQ121_spl
| product(e_2,X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f514,f95]) ).
fof(f2782,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f495,f93]) ).
fof(f2783,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f495,f91]) ).
fof(f2784,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f495,f89]) ).
fof(f2785,plain,
! [X0] :
( ~ sQ115_spl
| product(e_1,X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f495,f95]) ).
fof(f2786,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f479,f93]) ).
fof(f2787,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f479,f91]) ).
fof(f2788,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f479,f89]) ).
fof(f2789,plain,
! [X0] :
( ~ sQ110_spl
| product(e_1,X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f479,f95]) ).
fof(f2790,plain,
( ~ sQ110_spl
| ~ sQ123_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f2095,f479]) ).
fof(f2791,plain,
( ~ sQ115_spl
| ~ sQ123_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f2095,f495]) ).
fof(f2792,plain,
( ~ sQ110_spl
| ~ sQ123_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f2790,f336,f519,f478]) ).
fof(f2793,plain,
( ~ sQ115_spl
| ~ sQ121_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f2781,f495]) ).
fof(f2794,plain,
( ~ sQ115_spl
| ~ sQ121_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f2793,f181,f513,f494]) ).
fof(f2795,plain,
( ~ sQ101_spl
| ~ sQ115_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f2785,f450]) ).
fof(f2796,plain,
( ~ sQ115_spl
| ~ sQ122_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f2100,f495]) ).
fof(f2797,plain,
( ~ sQ115_spl
| ~ sQ122_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f2796,f130,f516,f494]) ).
fof(f2850,plain,
( ~ sQ72_spl
| ~ sQ93_spl
| ~ sQ53_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1770,f1298]) ).
fof(f2851,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1770,f93]) ).
fof(f2852,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ53_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1770,f91]) ).
fof(f2853,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1770,f89]) ).
fof(f2854,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ53_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1770,f95]) ).
fof(f2855,plain,
( ~ sQ83_spl
| ~ sQ115_spl
| ~ sQ123_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f2791,f1902]) ).
fof(f2856,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f2791,f93]) ).
fof(f2857,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ123_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2791,f91]) ).
fof(f2858,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ123_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f2791,f89]) ).
fof(f2859,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ123_spl
| product(e_5,X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2791,f95]) ).
fof(f2860,plain,
( ~ sQ83_spl
| ~ sQ115_spl
| ~ sQ123_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f2855,f349,f519,f494,f386]) ).
fof(f2861,plain,
( ~ sQ101_spl
| ~ sQ116_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f2179,f450]) ).
fof(f2862,plain,
( ~ sQ101_spl
| ~ sQ116_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f2861,f421,f497,f449]) ).
fof(f2894,plain,
( ~ sQ72_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f347,f1297]) ).
fof(f2895,plain,
( ~ sQ62_spl
| ~ sQ72_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f347,f1564]) ).
fof(f2896,plain,
( ~ sQ72_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f347,f1296]) ).
fof(f2897,plain,
( ~ sQ69_spl
| ~ sQ72_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f347,f1380]) ).
fof(f2898,plain,
( ~ sQ66_spl
| ~ sQ72_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f347,f1404]) ).
fof(f2899,plain,
( ~ sQ72_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f347,f1295]) ).
fof(f2904,plain,
( ~ sQ62_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2895,f73]) ).
fof(f2905,plain,
( ~ sQ62_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f2904]) ).
fof(f2906,plain,
( ~ sQ69_spl
| ~ sQ72_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f2897,f503,f346,f336]) ).
fof(f2907,plain,
( ~ sQ38_spl
| ~ sQ46_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1185,f308,f259,f229]) ).
fof(f2908,plain,
( ~ sQ49_spl
| ~ sQ88_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f1802,f446,f402,f268]) ).
fof(f2942,plain,
( ~ sQ85_spl
| 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)],[f2682,f65]) ).
fof(f2943,plain,
( ~ sQ85_spl
| 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)],[f2682,f64]) ).
fof(f2944,plain,
( ~ sQ85_spl
| 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)],[f2682,f63]) ).
fof(f2945,plain,
( ~ sQ85_spl
| 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)],[f2682,f62]) ).
fof(f2947,plain,
( ~ sQ85_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f2942,f256,f259,f262,f265,f393]) ).
fof(f2948,plain,
( ~ sQ85_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f2943,f204,f207,f210,f213,f393]) ).
fof(f2949,plain,
( ~ sQ85_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f2944,f220,f223,f226,f229,f393]) ).
fof(f2950,plain,
( ~ sQ85_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f2945,f236,f239,f242,f245,f393]) ).
fof(f2951,plain,
( ~ sQ34_spl
| ~ sQ87_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f1808,f446,f399,f216]) ).
fof(f2952,plain,
( ~ sQ88_spl
| ~ sQ47_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f1832,f425,f262,f402]) ).
fof(f2953,plain,
( ~ sQ88_spl
| ~ sQ47_spl
| ~ sQ12_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f2124,f431,f140,f262,f402]) ).
fof(f2965,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1706,f93]) ).
fof(f2966,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1706,f91]) ).
fof(f2967,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f1706,f89]) ).
fof(f2968,plain,
! [X0] :
( ~ sQ94_spl
| product(e_2,X0,e_5)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f1706,f95]) ).
fof(f2969,plain,
( ~ sQ94_spl
| ~ sQ115_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f2785,f1706]) ).
fof(f2970,plain,
( ~ sQ94_spl
| ~ sQ118_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f2169,f1706]) ).
fof(f2971,plain,
( ~ sQ94_spl
| ~ sQ96_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1670,f1706]) ).
fof(f2972,plain,
( ~ sQ94_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2971,f85]) ).
fof(f2973,plain,
( ~ sQ94_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f2972]) ).
fof(f2974,plain,
( ~ sQ90_spl
| ~ sQ92_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f416,f1791]) ).
fof(f2976,plain,
( ~ sQ22_spl
| ~ sQ92_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f416,f673]) ).
fof(f2977,plain,
( ~ sQ92_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f416,f1692]) ).
fof(f2978,plain,
( ~ sQ19_spl
| ~ sQ92_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f416,f695]) ).
fof(f2979,plain,
( ~ sQ92_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f416,f1691]) ).
fof(f2984,plain,
( ~ sQ90_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2974,f75]) ).
fof(f2985,plain,
( ~ sQ90_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f2984]) ).
fof(f2988,plain,
( ~ sQ88_spl
| ~ sQ48_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1877,f377,f265,f402]) ).
fof(f3031,plain,
( ~ sQ4_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f115,f611]) ).
fof(f3032,plain,
( ~ sQ59_spl
| ~ sQ4_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f115,f952]) ).
fof(f3033,plain,
( ~ sQ4_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f115,f610]) ).
fof(f3034,plain,
( ~ sQ96_spl
| ~ sQ4_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f115,f1673]) ).
fof(f3035,plain,
( ~ sQ69_spl
| ~ sQ4_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f115,f1377]) ).
fof(f3036,plain,
( ~ sQ4_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f115,f609]) ).
fof(f3041,plain,
( ~ sQ59_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3032,f77]) ).
fof(f3042,plain,
( ~ sQ59_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f3041]) ).
fof(f3054,plain,
( ~ sQ96_spl
| ~ sQ4_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f3034,f159,f114,f428]) ).
fof(f3055,plain,
( ~ sQ69_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3035,f77]) ).
fof(f3056,plain,
( ~ sQ69_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f3055]) ).
fof(f3087,plain,
( ~ sQ121_spl
| ~ sQ120_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f511,f2780]) ).
fof(f3088,plain,
( ~ sQ120_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f511,f2550]) ).
fof(f3089,plain,
( ~ sQ121_spl
| ~ sQ120_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f511,f2781]) ).
fof(f3090,plain,
( ~ sQ105_spl
| ~ sQ120_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f511,f2556]) ).
fof(f3092,plain,
( ~ sQ120_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f511,f2551]) ).
fof(f3093,plain,
( ~ sQ120_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f511,f2548]) ).
fof(f3099,plain,
( ~ sQ121_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3087,f67]) ).
fof(f3100,plain,
( ~ sQ121_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f3099]) ).
fof(f3103,plain,
( ~ sQ107_spl
| ~ sQ105_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f463,f2616]) ).
fof(f3104,plain,
( ~ sQ105_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f463,f2557]) ).
fof(f3105,plain,
( ~ sQ105_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f463,f2556]) ).
fof(f3106,plain,
( ~ sQ105_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f463,f2555]) ).
fof(f3111,plain,
( ~ sQ107_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3103,f68]) ).
fof(f3112,plain,
( ~ sQ107_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f3111]) ).
fof(f3134,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f141,f612]) ).
fof(f3142,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f3134,f516,f140,f114]) ).
fof(f3143,plain,
( ~ sQ22_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2976,f84]) ).
fof(f3144,plain,
( ~ sQ22_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f3143]) ).
fof(f3145,plain,
( ~ sQ19_spl
| ~ sQ92_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f2978,f449,f415,f165]) ).
fof(f3147,plain,
( ~ sQ30_spl
| ~ sQ35_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f221,f947]) ).
fof(f3148,plain,
( ~ sQ44_spl
| ~ sQ35_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f221,f776]) ).
fof(f3149,plain,
( ~ sQ35_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f221,f919]) ).
fof(f3150,plain,
( ~ sQ35_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f221,f918]) ).
fof(f3155,plain,
( ~ sQ30_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3147,f72]) ).
fof(f3156,plain,
( ~ sQ30_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f3155]) ).
fof(f3157,plain,
! [X0] :
( ~ sQ51_spl
| product(e_2,X0,e_5)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f97,f1063]) ).
fof(f3208,plain,
( ~ sQ68_spl
| ~ sQ66_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f328,f1387]) ).
fof(f3209,plain,
( ~ sQ66_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f328,f1403]) ).
fof(f3210,plain,
( ~ sQ70_spl
| ~ sQ66_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f328,f1359]) ).
fof(f3211,plain,
( ~ sQ66_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f328,f1402]) ).
fof(f3212,plain,
( ~ sQ66_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f328,f1401]) ).
fof(f3217,plain,
( ~ sQ68_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3208,f73]) ).
fof(f3218,plain,
( ~ sQ68_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f3217]) ).
fof(f3251,plain,
( ~ sQ56_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2392,f77]) ).
fof(f3252,plain,
( ~ sQ56_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f3251]) ).
fof(f3253,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f2383,f346,f118,f143]) ).
fof(f3284,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f198,f618]) ).
fof(f3287,plain,
( ~ sQ94_spl
| ~ sQ29_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f198,f1685]) ).
fof(f3288,plain,
( ~ sQ29_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f198,f617]) ).
fof(f3309,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ16_spl
| product(e_2,X0,e_5)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f3157,f760]) ).
fof(f3345,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ51_spl
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1892,f1063]) ).
fof(f3346,plain,
( ~ sQ66_spl
| ~ sQ72_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2898,f178,f346,f327]) ).
fof(f3349,plain,
( ~ sQ91_spl
| ~ sQ51_spl
| 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)],[f3345,f64]) ).
fof(f3350,plain,
( ~ sQ91_spl
| ~ sQ51_spl
| 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)],[f3345,f63]) ).
fof(f3351,plain,
( ~ sQ91_spl
| ~ sQ51_spl
| 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)],[f3345,f62]) ).
fof(f3354,plain,
( ~ sQ91_spl
| ~ sQ51_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f3349,f153,f156,f159,f275,f412]) ).
fof(f3355,plain,
( ~ sQ91_spl
| ~ sQ51_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f3350,f169,f172,f175,f275,f412]) ).
fof(f3356,plain,
( ~ sQ91_spl
| ~ sQ51_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f3351,f185,f188,f191,f275,f412]) ).
fof(f3400,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f783]) ).
fof(f3408,plain,
( ~ sQ43_spl
| ~ sQ40_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f3400,f356,f236,f245]) ).
fof(f3409,plain,
( ~ sQ86_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f397,f1818]) ).
fof(f3410,plain,
( ~ sQ37_spl
| ~ sQ86_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f397,f882]) ).
fof(f3411,plain,
( ~ sQ86_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f397,f1817]) ).
fof(f3412,plain,
( ~ sQ86_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f397,f1816]) ).
fof(f3417,plain,
( ~ sQ37_spl
| ~ sQ86_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f3410,f425,f396,f226]) ).
fof(f3419,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ91_spl
| product(e_2,X0,e_4)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1103,f1783]) ).
fof(f3420,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ73_spl
| product(e_4,X0,e_5)
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1758,f1293]) ).
fof(f3421,plain,
( ~ sQ67_spl
| ~ sQ82_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f1905,f434,f383,f330]) ).
fof(f3425,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ12_spl
| ~ sQ97_spl
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2075,f1666]) ).
fof(f3427,plain,
( ~ sQ16_spl
| ~ sQ91_spl
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f3419,f65]) ).
fof(f3429,plain,
( ~ sQ16_spl
| ~ sQ91_spl
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f3419,f63]) ).
fof(f3430,plain,
( ~ sQ16_spl
| ~ sQ91_spl
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f3419,f62]) ).
fof(f3432,plain,
( ~ sQ16_spl
| ~ sQ91_spl
| sQ53_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f3427,f272,f275,f281,f412,f156]) ).
fof(f3434,plain,
( ~ sQ16_spl
| ~ sQ91_spl
| sQ23_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f3429,f169,f172,f178,f412,f156]) ).
fof(f3435,plain,
( ~ sQ16_spl
| ~ sQ91_spl
| sQ28_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f3430,f185,f188,f194,f412,f156]) ).
fof(f3437,plain,
( ~ sQ70_spl
| ~ sQ66_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f3210,f213,f327,f340]) ).
fof(f3449,plain,
( ~ sQ45_spl
| product(e_1,e_5,e_5)
| 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)],[f2144,f66]) ).
fof(f3451,plain,
( ~ sQ45_spl
| product(e_1,e_3,e_5)
| 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)],[f2144,f64]) ).
fof(f3452,plain,
( ~ sQ45_spl
| product(e_1,e_2,e_5)
| 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)],[f2144,f63]) ).
fof(f3453,plain,
( ~ sQ45_spl
| product(e_1,e_1,e_5)
| 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)],[f2144,f62]) ).
fof(f3454,plain,
( ~ sQ45_spl
| sQ89_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f3449,f393,f396,f399,f405,f256]) ).
fof(f3456,plain,
( ~ sQ45_spl
| sQ34_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f3451,f204,f207,f210,f216,f256]) ).
fof(f3457,plain,
( ~ sQ45_spl
| sQ39_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f3452,f220,f223,f226,f232,f256]) ).
fof(f3458,plain,
( ~ sQ45_spl
| sQ44_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f3453,f236,f239,f242,f248,f256]) ).
fof(f3460,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2393,f75]) ).
fof(f3461,plain,
( ~ sQ31_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f3460]) ).
fof(f3522,plain,
( ~ sQ97_spl
| ~ sQ9_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f131,f1666]) ).
fof(f3523,plain,
( ~ sQ96_spl
| ~ sQ9_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f131,f1673]) ).
fof(f3530,plain,
( ~ sQ97_spl
| ~ sQ9_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f3522,f124,f130,f431]) ).
fof(f3531,plain,
( ~ sQ96_spl
| ~ sQ9_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f3523,f175,f130,f428]) ).
fof(f3532,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f544,f109]) ).
fof(f3533,plain,
( ~ sQ2_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3532,f75]) ).
fof(f3534,plain,
( ~ sQ2_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f3533]) ).
fof(f3536,plain,
( ~ sQ88_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1898,f79]) ).
fof(f3537,plain,
( ~ sQ88_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f3536]) ).
fof(f3568,plain,
( ~ sQ121_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f514,f2780]) ).
fof(f3569,plain,
( ~ sQ116_spl
| ~ sQ121_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f514,f2179]) ).
fof(f3570,plain,
( ~ sQ118_spl
| ~ sQ121_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f514,f2169]) ).
fof(f3571,plain,
( ~ sQ121_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f514,f2779]) ).
fof(f3572,plain,
( ~ sQ121_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f514,f2778]) ).
fof(f3578,plain,
( ~ sQ118_spl
| ~ sQ121_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f3570,f368,f513,f503]) ).
fof(f3579,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ109_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2090,f2282]) ).
fof(f3580,plain,
( ~ sQ110_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f479,f2788]) ).
fof(f3581,plain,
( ~ sQ100_spl
| ~ sQ110_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f479,f2562]) ).
fof(f3582,plain,
( ~ sQ110_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f479,f2787]) ).
fof(f3583,plain,
( ~ sQ65_spl
| ~ sQ110_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f479,f1405]) ).
fof(f3584,plain,
( ~ sQ15_spl
| ~ sQ110_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f479,f765]) ).
fof(f3585,plain,
( ~ sQ110_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f479,f2786]) ).
fof(f3590,plain,
( ~ sQ100_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3581,f78]) ).
fof(f3591,plain,
( ~ sQ100_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f3590]) ).
fof(f3592,plain,
( ~ sQ65_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3583,f86]) ).
fof(f3593,plain,
( ~ sQ65_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f3592]) ).
fof(f3606,plain,
( ~ sQ15_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3584,f84]) ).
fof(f3607,plain,
( ~ sQ15_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f3606]) ).
fof(f3608,plain,
( ~ sQ124_spl
| ~ sQ109_spl
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f3579,f66]) ).
fof(f3610,plain,
( ~ sQ124_spl
| ~ sQ109_spl
| product(e_5,e_3,e_5)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f3579,f64]) ).
fof(f3611,plain,
( ~ sQ124_spl
| ~ sQ109_spl
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f3579,f63]) ).
fof(f3613,plain,
( ~ sQ124_spl
| ~ sQ109_spl
| sQ104_spl
| sQ102_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f3608,f449,f452,f458,f474,f522]) ).
fof(f3615,plain,
( ~ sQ124_spl
| ~ sQ109_spl
| sQ114_spl
| sQ112_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f3610,f481,f484,f490,f474,f522]) ).
fof(f3616,plain,
( ~ sQ124_spl
| ~ sQ109_spl
| sQ119_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f3611,f497,f500,f506,f474,f522]) ).
fof(f3658,plain,
( ~ sQ91_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f413,f1782]) ).
fof(f3659,plain,
( ~ sQ21_spl
| ~ sQ91_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f413,f678]) ).
fof(f3660,plain,
( ~ sQ91_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f413,f1781]) ).
fof(f3666,plain,
( ~ sQ21_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3659,f84]) ).
fof(f3667,plain,
( ~ sQ21_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f3666]) ).
fof(f3668,plain,
( ~ sQ91_spl
| ~ sQ20_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f688,f413]) ).
fof(f3669,plain,
( ~ sQ91_spl
| ~ sQ20_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f3668,f396,f169,f412]) ).
fof(f3680,plain,
( ~ sQ49_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f269,f1079]) ).
fof(f3681,plain,
( ~ sQ44_spl
| ~ sQ49_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f269,f774]) ).
fof(f3682,plain,
( ~ sQ89_spl
| ~ sQ49_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f269,f1797]) ).
fof(f3683,plain,
( ~ sQ89_spl
| ~ sQ49_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f269,f1799]) ).
fof(f3684,plain,
( ~ sQ39_spl
| ~ sQ49_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f269,f872]) ).
fof(f3685,plain,
( ~ sQ49_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f269,f1078]) ).
fof(f3686,plain,
( ~ sQ64_spl
| ~ sQ49_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f269,f1409]) ).
fof(f3687,plain,
( ~ sQ49_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f269,f1077]) ).
fof(f3688,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f269,f93]) ).
fof(f3689,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f269,f91]) ).
fof(f3690,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f269,f89]) ).
fof(f3691,plain,
! [X0] :
( ~ sQ49_spl
| product(e_5,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f269,f95]) ).
fof(f3692,plain,
( ~ sQ44_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3681,f79]) ).
fof(f3693,plain,
( ~ sQ44_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3692]) ).
fof(f3695,plain,
! [X0] :
( ~ sQ114_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_2)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f376,f2183]) ).
fof(f3697,plain,
( ~ sQ53_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f282,f1046]) ).
fof(f3698,plain,
( ~ sQ53_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f282,f1048]) ).
fof(f3699,plain,
( ~ sQ53_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f282,f1045]) ).
fof(f3704,plain,
( ~ sQ53_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f3698,f311,f281]) ).
fof(f3730,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ109_spl
| ~ sQ119_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_3)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3579,f2162]) ).
fof(f3731,plain,
( ~ sQ124_spl
| ~ sQ109_spl
| ~ sQ119_spl
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f3730,f66]) ).
fof(f3733,plain,
( ~ sQ124_spl
| ~ sQ109_spl
| ~ sQ119_spl
| product(e_5,e_3,e_5)
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f3730,f64]) ).
fof(f3736,plain,
( ~ sQ124_spl
| ~ sQ109_spl
| ~ sQ119_spl
| sQ104_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f3731,f452,f458,f506,f474,f522]) ).
fof(f3738,plain,
( ~ sQ124_spl
| ~ sQ109_spl
| ~ sQ119_spl
| sQ114_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f3733,f484,f490,f506,f474,f522]) ).
fof(f3761,plain,
( ~ sQ119_spl
| 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_1) ),
inference(resolution,[status(thm)],[f2163,f66]) ).
fof(f3762,plain,
( ~ sQ119_spl
| 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_1) ),
inference(resolution,[status(thm)],[f2163,f65]) ).
fof(f3763,plain,
( ~ sQ119_spl
| 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_1) ),
inference(resolution,[status(thm)],[f2163,f64]) ).
fof(f3765,plain,
( ~ sQ119_spl
| 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_1) ),
inference(resolution,[status(thm)],[f2163,f62]) ).
fof(f3766,plain,
( ~ sQ119_spl
| sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f3761,f446,f452,f455,f458,f506]) ).
fof(f3767,plain,
( ~ sQ119_spl
| sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f3762,f462,f468,f471,f474,f506]) ).
fof(f3768,plain,
( ~ sQ119_spl
| sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3763,f478,f484,f487,f490,f506]) ).
fof(f3770,plain,
( ~ sQ119_spl
| sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f3765,f510,f516,f519,f522,f506]) ).
fof(f3771,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ109_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_3)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2163,f2282]) ).
fof(f3773,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ114_spl
| ~ sQ109_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2184,f2282]) ).
fof(f3774,plain,
( ~ sQ120_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f3092,f248,f510]) ).
fof(f3786,plain,
( ~ sQ94_spl
| ~ sQ118_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f2970,f389,f503,f421]) ).
fof(f3800,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ114_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_2)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2283,f2183]) ).
fof(f3801,plain,
( ~ sQ101_spl
| ~ sQ115_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f2795,f405,f494,f449]) ).
fof(f3802,plain,
( ~ sQ94_spl
| ~ sQ115_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f2969,f405,f494,f421]) ).
fof(f3837,plain,
( ~ sQ94_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2967,f1706]) ).
fof(f3838,plain,
( ~ sQ94_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f2966,f1706]) ).
fof(f3839,plain,
( ~ sQ94_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f2965,f1706]) ).
fof(f3840,plain,
( ~ sQ94_spl
| ~ sQ119_spl
| product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f2162,f1706]) ).
fof(f3841,plain,
( ~ sQ94_spl
| ~ sQ119_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f3840,f458,f506,f421]) ).
fof(f3842,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ124_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_3)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2163,f2089]) ).
fof(f3844,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ114_spl
| ~ sQ109_spl
| ~ sQ124_spl
| product(e_5,X0,e_5)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3773,f2089]) ).
fof(f3865,plain,
( ~ sQ119_spl
| ~ sQ114_spl
| ~ sQ109_spl
| ~ sQ124_spl
| product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f3844,f66]) ).
fof(f3870,plain,
( ~ sQ59_spl
| ~ sQ55_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f289,f953]) ).
fof(f3872,plain,
( ~ sQ55_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f289,f1033]) ).
fof(f3873,plain,
( ~ sQ12_spl
| ~ sQ55_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f289,f546]) ).
fof(f3879,plain,
( ~ sQ59_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3870,f70]) ).
fof(f3880,plain,
( ~ sQ59_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f3879]) ).
fof(f3892,plain,
( ~ sQ100_spl
| ~ sQ94_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1706,f2563]) ).
fof(f3897,plain,
( ~ sQ100_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3892,f71]) ).
fof(f3898,plain,
( ~ sQ100_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f3897]) ).
fof(f3902,plain,
( ~ sQ51_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f276,f1061]) ).
fof(f3903,plain,
( ~ sQ51_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f276,f1060]) ).
fof(f3955,plain,
( ~ sQ39_spl
| ~ sQ89_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1799,f233]) ).
fof(f3956,plain,
( ~ sQ51_spl
| ~ sQ24_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f662,f276]) ).
fof(f3957,plain,
( ~ sQ51_spl
| ~ sQ106_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2621,f276]) ).
fof(f3958,plain,
( ~ sQ51_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3957,f74]) ).
fof(f3959,plain,
( ~ sQ51_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f3958]) ).
fof(f3960,plain,
( ~ sQ93_spl
| ~ sQ53_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1770,f380,f281,f418]) ).
fof(f3973,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ83_spl
| product(e_4,X0,e_4)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1394,f1902]) ).
fof(f3984,plain,
( ~ sQ119_spl
| ~ sQ109_spl
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f3771,f66]) ).
fof(f3986,plain,
( ~ sQ119_spl
| ~ sQ109_spl
| product(e_5,e_3,e_5)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f3771,f64]) ).
fof(f3988,plain,
( ~ sQ119_spl
| ~ sQ109_spl
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f3771,f62]) ).
fof(f3989,plain,
( ~ sQ119_spl
| ~ sQ109_spl
| sQ104_spl
| sQ102_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f3984,f446,f452,f458,f474,f506]) ).
fof(f3991,plain,
( ~ sQ119_spl
| ~ sQ109_spl
| sQ114_spl
| sQ112_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f3986,f478,f484,f490,f474,f506]) ).
fof(f3993,plain,
( ~ sQ119_spl
| ~ sQ109_spl
| sQ124_spl
| sQ122_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f3988,f510,f516,f522,f474,f506]) ).
fof(f3997,plain,
( ~ sQ68_spl
| ~ sQ83_spl
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f3973,f65]) ).
fof(f3999,plain,
( ~ sQ68_spl
| ~ sQ83_spl
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f3973,f63]) ).
fof(f4000,plain,
( ~ sQ68_spl
| ~ sQ83_spl
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f3973,f62]) ).
fof(f4002,plain,
( ~ sQ68_spl
| ~ sQ83_spl
| sQ63_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f3997,f308,f311,f317,f386,f333]) ).
fof(f4004,plain,
( ~ sQ68_spl
| ~ sQ83_spl
| sQ73_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f3999,f340,f343,f349,f386,f333]) ).
fof(f4005,plain,
( ~ sQ68_spl
| ~ sQ83_spl
| sQ78_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f4000,f356,f359,f365,f386,f333]) ).
fof(f4006,plain,
( ~ sQ119_spl
| ~ sQ114_spl
| ~ sQ109_spl
| ~ sQ124_spl
| product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f3844,f66]) ).
fof(f4011,plain,
( ~ sQ39_spl
| ~ sQ87_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1812,f233]) ).
fof(f4012,plain,
( ~ sQ8_spl
| ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f4011,f570]) ).
fof(f4013,plain,
( ~ sQ0_spl
| ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f4011,f2377]) ).
fof(f4014,plain,
( ~ sQ12_spl
| ~ sQ39_spl
| ~ sQ87_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f4011,f546]) ).
fof(f4015,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ87_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f4011,f93]) ).
fof(f4016,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ87_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f4011,f91]) ).
fof(f4017,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ87_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f4011,f89]) ).
fof(f4018,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ87_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f4011,f95]) ).
fof(f4019,plain,
( ~ sQ8_spl
| ~ sQ39_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4012,f69]) ).
fof(f4020,plain,
( ~ sQ8_spl
| ~ sQ39_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f4019]) ).
fof(f4022,plain,
( ~ sQ114_spl
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f3695,f66]) ).
fof(f4023,plain,
( ~ sQ114_spl
| product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f3695,f65]) ).
fof(f4025,plain,
( ~ sQ114_spl
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f3695,f63]) ).
fof(f4026,plain,
( ~ sQ114_spl
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f3695,f62]) ).
fof(f4027,plain,
( ~ sQ114_spl
| sQ104_spl
| sQ103_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f4022,f446,f449,f455,f458,f490]) ).
fof(f4028,plain,
( ~ sQ114_spl
| sQ109_spl
| sQ108_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f4023,f462,f465,f471,f474,f490]) ).
fof(f4030,plain,
( ~ sQ114_spl
| sQ119_spl
| sQ118_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f4025,f494,f497,f503,f506,f490]) ).
fof(f4031,plain,
( ~ sQ114_spl
| sQ124_spl
| sQ123_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f4026,f510,f513,f519,f522,f490]) ).
fof(f4032,plain,
! [X0] :
( ~ sQ68_spl
| product(e_4,X0,e_5)
| product(e_4,X0,e_4)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f255,f1388]) ).
fof(f4033,plain,
( ~ sQ119_spl
| ~ sQ124_spl
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f3842,f66]) ).
fof(f4034,plain,
( ~ sQ119_spl
| ~ sQ124_spl
| product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f3842,f65]) ).
fof(f4035,plain,
( ~ sQ119_spl
| ~ sQ124_spl
| product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f3842,f64]) ).
fof(f4038,plain,
( ~ sQ119_spl
| ~ sQ124_spl
| sQ104_spl
| sQ103_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f4033,f452,f455,f458,f522,f506]) ).
fof(f4039,plain,
( ~ sQ119_spl
| ~ sQ124_spl
| sQ109_spl
| sQ108_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f4034,f468,f471,f474,f522,f506]) ).
fof(f4040,plain,
( ~ sQ119_spl
| ~ sQ124_spl
| sQ114_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f4035,f484,f487,f490,f522,f506]) ).
fof(f4073,plain,
( ~ sQ24_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f182,f661]) ).
fof(f4075,plain,
( ~ sQ92_spl
| ~ sQ24_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f182,f1694]) ).
fof(f4076,plain,
( ~ sQ119_spl
| ~ sQ24_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f182,f2159]) ).
fof(f4082,plain,
( ~ sQ119_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4076,f74]) ).
fof(f4083,plain,
( ~ sQ119_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f4082]) ).
fof(f4085,plain,
( ~ sQ92_spl
| ~ sQ24_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f4075,f121,f181,f415]) ).
fof(f4086,plain,
( ~ sQ115_spl
| ~ sQ123_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f2791,f352,f519,f494]) ).
fof(f4088,plain,
( ~ sQ116_spl
| ~ sQ121_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f3569,f197,f513,f497]) ).
fof(f4092,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ97_spl
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f547,f1666]) ).
fof(f4095,plain,
( ~ sQ39_spl
| ~ sQ89_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f3955,f494,f405,f232]) ).
fof(f4147,plain,
( ~ sQ101_spl
| ~ sQ103_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f456,f2775]) ).
fof(f4148,plain,
( ~ sQ100_spl
| ~ sQ103_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f456,f2563]) ).
fof(f4149,plain,
( ~ sQ103_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f456,f2470]) ).
fof(f4150,plain,
( ~ sQ103_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f456,f2469]) ).
fof(f4151,plain,
( ~ sQ106_spl
| ~ sQ103_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f456,f2624]) ).
fof(f4152,plain,
( ~ sQ109_spl
| ~ sQ103_spl
| product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f456,f2282]) ).
fof(f4153,plain,
( ~ sQ88_spl
| ~ sQ103_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f456,f1803]) ).
fof(f4155,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f456,f93]) ).
fof(f4156,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f456,f91]) ).
fof(f4157,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f456,f89]) ).
fof(f4158,plain,
! [X0] :
( ~ sQ103_spl
| product(e_4,X0,e_5)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f456,f95]) ).
fof(f4159,plain,
( ~ sQ101_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4147,f80]) ).
fof(f4160,plain,
( ~ sQ101_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f4159]) ).
fof(f4162,plain,
! [X0] :
( ~ sQ45_spl
| product(e_1,X0,e_5)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f98,f1197]) ).
fof(f4164,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ109_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2090,f2282]) ).
fof(f4165,plain,
( ~ sQ44_spl
| ~ sQ85_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f1883,f446,f393,f248]) ).
fof(f4166,plain,
( ~ sQ71_spl
| ~ sQ94_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2592,f84]) ).
fof(f4167,plain,
( ~ sQ71_spl
| ~ sQ94_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f4166]) ).
fof(f4169,plain,
( ~ sQ105_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3090,f69]) ).
fof(f4170,plain,
( ~ sQ105_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f4169]) ).
fof(f4172,plain,
( ~ sQ74_spl
| ~ sQ81_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f2458,f455,f380,f352]) ).
fof(f4174,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ73_spl
| ~ sQ83_spl
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3420,f1902]) ).
fof(f4177,plain,
( ~ sQ78_spl
| ~ sQ73_spl
| ~ sQ83_spl
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f4174,f65]) ).
fof(f4178,plain,
( ~ sQ78_spl
| ~ sQ73_spl
| ~ sQ83_spl
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f4174,f64]) ).
fof(f4182,plain,
( ~ sQ78_spl
| ~ sQ73_spl
| ~ sQ83_spl
| sQ63_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f4177,f314,f317,f386,f349,f365]) ).
fof(f4183,plain,
( ~ sQ78_spl
| ~ sQ73_spl
| ~ sQ83_spl
| sQ68_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f4178,f330,f333,f386,f349,f365]) ).
fof(f4236,plain,
( ~ sQ101_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f450,f2775]) ).
fof(f4237,plain,
( ~ sQ118_spl
| ~ sQ101_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f450,f2169]) ).
fof(f4238,plain,
( ~ sQ115_spl
| ~ sQ101_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f450,f2785]) ).
fof(f4239,plain,
( ~ sQ111_spl
| ~ sQ101_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f450,f2608]) ).
fof(f4240,plain,
( ~ sQ101_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f450,f2774]) ).
fof(f4241,plain,
( ~ sQ101_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f450,f2773]) ).
fof(f4246,plain,
( ~ sQ118_spl
| ~ sQ101_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f4237,f389,f449,f503]) ).
fof(f4247,plain,
( ~ sQ111_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4239,f85]) ).
fof(f4248,plain,
( ~ sQ111_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f4247]) ).
fof(f4249,plain,
! [X0] :
( ~ sQ12_spl
| product(e_3,X0,e_5)
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f96,f546]) ).
fof(f4251,plain,
( ~ sQ0_spl
| ~ sQ39_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4013,f72]) ).
fof(f4252,plain,
( ~ sQ0_spl
| ~ sQ39_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f4251]) ).
fof(f4256,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ30_spl
| product(e_1,X0,e_4)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2682,f949]) ).
fof(f4268,plain,
( ~ sQ85_spl
| ~ sQ30_spl
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f4256,f65]) ).
fof(f4270,plain,
( ~ sQ85_spl
| ~ sQ30_spl
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f4256,f63]) ).
fof(f4271,plain,
( ~ sQ85_spl
| ~ sQ30_spl
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f4256,f62]) ).
fof(f4273,plain,
( ~ sQ85_spl
| ~ sQ30_spl
| sQ48_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f4268,f256,f259,f265,f204,f393]) ).
fof(f4275,plain,
( ~ sQ85_spl
| ~ sQ30_spl
| sQ38_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f4270,f220,f223,f229,f204,f393]) ).
fof(f4276,plain,
( ~ sQ85_spl
| ~ sQ30_spl
| sQ43_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f4271,f236,f239,f245,f204,f393]) ).
fof(f4278,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ30_spl
| ~ sQ45_spl
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4256,f1197]) ).
fof(f4299,plain,
( ~ sQ71_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f344,f1302]) ).
fof(f4300,plain,
( ~ sQ71_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f344,f1301]) ).
fof(f4301,plain,
( ~ sQ71_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f344,f1303]) ).
fof(f4302,plain,
( ~ sQ71_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f344,f1300]) ).
fof(f4307,plain,
( ~ sQ71_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f4301,f178,f343]) ).
fof(f4320,plain,
( ~ sQ100_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4148,f79]) ).
fof(f4321,plain,
( ~ sQ100_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f4320]) ).
fof(f4325,plain,
( ~ sQ113_spl
| ~ sQ112_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f2600,f336,f484,f487]) ).
fof(f4326,plain,
( ~ sQ93_spl
| ~ sQ54_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f1751,f449,f284,f418]) ).
fof(f4327,plain,
( ~ sQ22_spl
| ~ sQ18_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f702,f343,f162,f175]) ).
fof(f4328,plain,
( ~ sQ44_spl
| ~ sQ35_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f3148,f494,f220,f248]) ).
fof(f4380,plain,
( ~ sQ104_spl
| ~ sQ100_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f447,f2291]) ).
fof(f4381,plain,
( ~ sQ100_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f447,f2563]) ).
fof(f4382,plain,
( ~ sQ122_spl
| ~ sQ100_spl
| product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f447,f2100]) ).
fof(f4389,plain,
( ~ sQ104_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4380,f70]) ).
fof(f4390,plain,
( ~ sQ104_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f4389]) ).
fof(f4434,plain,
( ~ sQ100_spl
| ~ sQ124_spl
| product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f2089,f447]) ).
fof(f4435,plain,
( ~ sQ100_spl
| ~ sQ124_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f4434,f458,f522,f446]) ).
fof(f4457,plain,
( ~ sQ100_spl
| ~ sQ102_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2630,f447]) ).
fof(f4458,plain,
( ~ sQ100_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4457,f68]) ).
fof(f4459,plain,
( ~ sQ100_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f4458]) ).
fof(f4482,plain,
( ~ sQ100_spl
| ~ sQ120_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2549,f447]) ).
fof(f4483,plain,
( ~ sQ100_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4482,f83]) ).
fof(f4484,plain,
( ~ sQ100_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f4483]) ).
fof(f4485,plain,
( ~ sQ122_spl
| ~ sQ100_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f4382,f437,f446,f516]) ).
fof(f4499,plain,
! [X0] :
( ~ sQ85_spl
| 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(forward_subsumption_resolution,[status(thm)],[f98,f1887]) ).
fof(f4543,plain,
( ~ sQ50_spl
| ~ sQ93_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f419,f1069]) ).
fof(f4549,plain,
( ~ sQ50_spl
| ~ sQ93_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f4543,f396,f418,f272]) ).
fof(f4550,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ124_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_3)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2163,f2089]) ).
fof(f4554,plain,
( ~ sQ39_spl
| ~ sQ87_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f4011,f118,f399,f232]) ).
fof(f4555,plain,
! [X0] :
( ~ sQ30_spl
| product(e_1,X0,e_5)
| product(e_1,X0,e_4)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f98,f949]) ).
fof(f4556,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ124_spl
| ~ sQ109_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_3)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4550,f2282]) ).
fof(f4557,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ109_spl
| ~ sQ119_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_3)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4164,f2162]) ).
fof(f4558,plain,
( ~ sQ119_spl
| ~ sQ114_spl
| ~ sQ109_spl
| ~ sQ124_spl
| product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f3844,f66]) ).
fof(f4604,plain,
( ~ sQ48_spl
| ~ sQ46_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f260,f1172]) ).
fof(f4606,plain,
( ~ sQ36_spl
| ~ sQ46_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f260,f908]) ).
fof(f4607,plain,
( ~ sQ36_spl
| ~ sQ46_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f260,f910]) ).
fof(f4609,plain,
( ~ sQ56_spl
| ~ sQ46_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f260,f1025]) ).
fof(f4611,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f260,f93]) ).
fof(f4612,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f260,f91]) ).
fof(f4613,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f260,f89]) ).
fof(f4614,plain,
! [X0] :
( ~ sQ46_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f260,f95]) ).
fof(f4615,plain,
( ~ sQ48_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4604,f73]) ).
fof(f4616,plain,
( ~ sQ48_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f4615]) ).
fof(f4627,plain,
( ~ sQ103_spl
| ~ sQ104_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f459,f4157]) ).
fof(f4628,plain,
( ~ sQ102_spl
| ~ sQ104_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f459,f2630]) ).
fof(f4630,plain,
( ~ sQ114_spl
| ~ sQ104_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f459,f2181]) ).
fof(f4631,plain,
( ~ sQ109_spl
| ~ sQ104_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f459,f2280]) ).
fof(f4632,plain,
( ~ sQ119_spl
| ~ sQ104_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f459,f2160]) ).
fof(f4633,plain,
( ~ sQ103_spl
| ~ sQ104_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f4158]) ).
fof(f4634,plain,
( ~ sQ102_spl
| ~ sQ104_spl
| product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f2631]) ).
fof(f4635,plain,
( ~ sQ124_spl
| ~ sQ104_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f459,f2087]) ).
fof(f4636,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f2290]) ).
fof(f4637,plain,
( ~ sQ99_spl
| ~ sQ104_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f459,f1580]) ).
fof(f4643,plain,
( ~ sQ103_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4627,f86]) ).
fof(f4644,plain,
( ~ sQ103_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f4643]) ).
fof(f4645,plain,
( ~ sQ102_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4628,f85]) ).
fof(f4646,plain,
( ~ sQ102_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f4645]) ).
fof(f4647,plain,
( ~ sQ114_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4630,f85]) ).
fof(f4648,plain,
( ~ sQ114_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f4647]) ).
fof(f4649,plain,
( ~ sQ119_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4632,f84]) ).
fof(f4650,plain,
( ~ sQ119_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f4649]) ).
fof(f4652,plain,
( ~ sQ36_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4606,f80]) ).
fof(f4653,plain,
( ~ sQ36_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f4652]) ).
fof(f4696,plain,
( ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f144,f538]) ).
fof(f4697,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f144,f569]) ).
fof(f4699,plain,
( ~ sQ13_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f144,f536]) ).
fof(f4705,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4697,f67]) ).
fof(f4706,plain,
( ~ sQ8_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f4705]) ).
fof(f4707,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ109_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_3)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f2163,f2282]) ).
fof(f4708,plain,
( ~ sQ109_spl
| ~ sQ103_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f4152,f458,f455,f474]) ).
fof(f4750,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1028,f144]) ).
fof(f4751,plain,
( ~ sQ119_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f507,f2161]) ).
fof(f4752,plain,
( ~ sQ102_spl
| ~ sQ119_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f507,f2631]) ).
fof(f4753,plain,
( ~ sQ119_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f507,f2160]) ).
fof(f4759,plain,
( ~ sQ102_spl
| ~ sQ119_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f4752,f130,f506,f452]) ).
fof(f4801,plain,
( ~ sQ119_spl
| ~ sQ103_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f4158,f507]) ).
fof(f4802,plain,
( ~ sQ119_spl
| ~ sQ103_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f4801,f352,f455,f506]) ).
fof(f4815,plain,
( ~ sQ13_spl
| ~ sQ55_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f1035,f144]) ).
fof(f4816,plain,
( ~ sQ13_spl
| ~ sQ55_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f4815,f242,f288,f143]) ).
fof(f4817,plain,
( ~ sQ119_spl
| ~ sQ100_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f2564,f507]) ).
fof(f4818,plain,
( ~ sQ119_spl
| ~ sQ100_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f4817,f232,f446,f506]) ).
fof(f4820,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f4750,f191,f291,f143]) ).
fof(f4821,plain,
( ~ sQ56_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4609,f68]) ).
fof(f4822,plain,
( ~ sQ56_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f4821]) ).
fof(f4824,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ85_spl
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4162,f1887]) ).
fof(f4827,plain,
( ~ sQ45_spl
| ~ sQ85_spl
| 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)],[f4824,f64]) ).
fof(f4828,plain,
( ~ sQ45_spl
| ~ sQ85_spl
| 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)],[f4824,f63]) ).
fof(f4829,plain,
( ~ sQ45_spl
| ~ sQ85_spl
| 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)],[f4824,f62]) ).
fof(f4832,plain,
( ~ sQ45_spl
| ~ sQ85_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f4827,f204,f207,f210,f393,f256]) ).
fof(f4833,plain,
( ~ sQ45_spl
| ~ sQ85_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f4828,f220,f223,f226,f393,f256]) ).
fof(f4834,plain,
( ~ sQ45_spl
| ~ sQ85_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f4829,f236,f239,f242,f393,f256]) ).
fof(f4875,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1028,f144]) ).
fof(f4876,plain,
( ~ sQ92_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f416,f1693]) ).
fof(f4877,plain,
( ~ sQ15_spl
| ~ sQ92_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f416,f768]) ).
fof(f4884,plain,
( ~ sQ15_spl
| ~ sQ92_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f4877,f396,f415,f153]) ).
fof(f4916,plain,
( ~ sQ92_spl
| ~ sQ17_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f742,f416]) ).
fof(f4917,plain,
( ~ sQ92_spl
| ~ sQ17_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f4916,f428,f159,f415]) ).
fof(f4919,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ97_spl
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f576,f1666]) ).
fof(f4921,plain,
( ~ sQ7_spl
| ~ sQ97_spl
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f4919,f65]) ).
fof(f4922,plain,
( ~ sQ7_spl
| ~ sQ97_spl
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f4919,f64]) ).
fof(f4924,plain,
( ~ sQ7_spl
| ~ sQ97_spl
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f4919,f62]) ).
fof(f4926,plain,
( ~ sQ7_spl
| ~ sQ97_spl
| sQ58_spl
| sQ57_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f4921,f288,f294,f297,f431,f124]) ).
fof(f4927,plain,
( ~ sQ7_spl
| ~ sQ97_spl
| sQ3_spl
| sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f4922,f102,f108,f111,f431,f124]) ).
fof(f4929,plain,
( ~ sQ7_spl
| ~ sQ97_spl
| sQ13_spl
| sQ12_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f4924,f134,f140,f143,f431,f124]) ).
fof(f4931,plain,
( ~ sQ119_spl
| ~ sQ101_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f2776,f507]) ).
fof(f4932,plain,
( ~ sQ119_spl
| ~ sQ101_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f4931,f181,f449,f506]) ).
fof(f4974,plain,
( ~ sQ92_spl
| ~ sQ13_spl
| ~ sQ56_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f4875,f1692]) ).
fof(f4975,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ56_spl
| ~ greater(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f4875,f61]) ).
fof(f4976,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f4875,f93]) ).
fof(f4977,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f4875,f91]) ).
fof(f4978,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ56_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f4875,f89]) ).
fof(f4979,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ56_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f4875,f95]) ).
fof(f4980,plain,
( ~ sQ92_spl
| ~ sQ13_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4974,f70]) ).
fof(f4981,plain,
( ~ sQ92_spl
| ~ sQ13_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f4980]) ).
fof(f5034,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f701,f416]) ).
fof(f5035,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f5034,f93]) ).
fof(f5036,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ18_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f5034,f91]) ).
fof(f5037,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f5034,f89]) ).
fof(f5038,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ18_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f5034,f95]) ).
fof(f5039,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f5035,f5034]) ).
fof(f5040,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ73_spl
| product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f1293,f5034]) ).
fof(f5041,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ73_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f5040,f386,f349,f162,f415]) ).
fof(f5064,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f2300]) ).
fof(f5071,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f5064,f330,f108,f111]) ).
fof(f5073,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ71_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f1303,f5034]) ).
fof(f5074,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ71_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f5073,f418,f343,f162,f415]) ).
fof(f5076,plain,
( ~ sQ106_spl
| ~ sQ103_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f4151,f421,f455,f465]) ).
fof(f5097,plain,
( ~ sQ13_spl
| ~ sQ55_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f1035,f144]) ).
fof(f5099,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ96_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1670,f5034]) ).
fof(f5100,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5099,f81]) ).
fof(f5101,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f5100]) ).
fof(f5102,plain,
( sQ81_spl
| ~ sQ92_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f382,f5034]) ).
fof(f5103,plain,
( sQ81_spl
| ~ sQ92_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f5102]) ).
fof(f5125,plain,
( ~ sQ13_spl
| ~ sQ3_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2298,f144]) ).
fof(f5126,plain,
( ~ sQ13_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5125,f68]) ).
fof(f5127,plain,
( ~ sQ13_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f5126]) ).
fof(f5128,plain,
( ~ sQ13_spl
| ~ sQ43_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f780,f144]) ).
fof(f5129,plain,
( ~ sQ13_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5128,f75]) ).
fof(f5130,plain,
( ~ sQ13_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f5129]) ).
fof(f5131,plain,
( ~ sQ13_spl
| ~ sQ78_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1206,f144]) ).
fof(f5132,plain,
( ~ sQ13_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5131,f77]) ).
fof(f5133,plain,
( ~ sQ13_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f5132]) ).
fof(f5144,plain,
( ~ sQ92_spl
| ~ sQ97_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1663,f416]) ).
fof(f5145,plain,
( ~ sQ92_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5144,f72]) ).
fof(f5146,plain,
( ~ sQ92_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f5145]) ).
fof(f5148,plain,
( ~ sQ89_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3682,f82]) ).
fof(f5149,plain,
( ~ sQ89_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f5148]) ).
fof(f5181,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ70_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f1359,f5034]) ).
fof(f5182,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ70_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f5181,f402,f340,f162,f415]) ).
fof(f5203,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ74_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f1287,f5034]) ).
fof(f5204,plain,
( ~ sQ92_spl
| ~ sQ52_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1054,f416]) ).
fof(f5205,plain,
( ~ sQ92_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5204,f86]) ).
fof(f5206,plain,
( ~ sQ92_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f5205]) ).
fof(f5207,plain,
( ~ sQ88_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4153,f83]) ).
fof(f5208,plain,
( ~ sQ88_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f5207]) ).
fof(f5229,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ70_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f1359,f5034]) ).
fof(f5230,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ76_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1256,f5034]) ).
fof(f5231,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5230,f83]) ).
fof(f5232,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f5231]) ).
fof(f5233,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ26_spl
| product(e_2,X0,e_5)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3157,f644]) ).
fof(f5234,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ16_spl
| ~ sQ26_spl
| product(e_2,X0,e_5)
| product(e_2,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3309,f644]) ).
fof(f5235,plain,
! [X0] :
( ~ sQ45_spl
| product(e_1,X0,e_5)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f98,f1197]) ).
fof(f5238,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ114_spl
| ~ sQ124_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3800,f2089]) ).
fof(f5249,plain,
( ~ sQ109_spl
| ~ sQ114_spl
| ~ sQ124_spl
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f5238,f66]) ).
fof(f5252,plain,
( ~ sQ109_spl
| ~ sQ114_spl
| ~ sQ124_spl
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f5238,f63]) ).
fof(f5254,plain,
( ~ sQ109_spl
| ~ sQ114_spl
| ~ sQ124_spl
| sQ104_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f5249,f449,f458,f522,f490,f474]) ).
fof(f5257,plain,
( ~ sQ109_spl
| ~ sQ114_spl
| ~ sQ124_spl
| sQ119_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f5252,f497,f506,f522,f490,f474]) ).
fof(f5290,plain,
( ~ sQ21_spl
| ~ sQ26_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f189,f678]) ).
fof(f5291,plain,
( ~ sQ16_spl
| ~ sQ26_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f189,f758]) ).
fof(f5292,plain,
( ~ sQ51_spl
| ~ sQ26_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f189,f1061]) ).
fof(f5293,plain,
( ~ sQ26_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f189,f642]) ).
fof(f5294,plain,
( ~ sQ76_spl
| ~ sQ26_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f189,f1255]) ).
fof(f5301,plain,
( ~ sQ21_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5290,f67]) ).
fof(f5302,plain,
( ~ sQ21_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f5301]) ).
fof(f5303,plain,
( ~ sQ16_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5291,f68]) ).
fof(f5304,plain,
( ~ sQ16_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f5303]) ).
fof(f5307,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ109_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_2)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3695,f2282]) ).
fof(f5308,plain,
( ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f243,f787]) ).
fof(f5309,plain,
( ~ sQ42_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f243,f786]) ).
fof(f5326,plain,
( ~ sQ114_spl
| ~ sQ109_spl
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f5307,f66]) ).
fof(f5329,plain,
( ~ sQ114_spl
| ~ sQ109_spl
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f5307,f63]) ).
fof(f5330,plain,
( ~ sQ114_spl
| ~ sQ109_spl
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f5307,f62]) ).
fof(f5331,plain,
( ~ sQ114_spl
| ~ sQ109_spl
| sQ104_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f5326,f446,f449,f458,f474,f490]) ).
fof(f5334,plain,
( ~ sQ114_spl
| ~ sQ109_spl
| sQ119_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f5329,f494,f497,f506,f474,f490]) ).
fof(f5335,plain,
( ~ sQ114_spl
| ~ sQ109_spl
| sQ124_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f5330,f510,f513,f522,f474,f490]) ).
fof(f5366,plain,
( ~ sQ42_spl
| ~ sQ33_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f935,f243]) ).
fof(f5367,plain,
( ~ sQ42_spl
| ~ sQ33_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f5366,f356,f213,f242]) ).
fof(f5378,plain,
( ~ sQ76_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f360,f1257]) ).
fof(f5379,plain,
( ~ sQ61_spl
| ~ sQ76_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f360,f1573]) ).
fof(f5380,plain,
( ~ sQ70_spl
| ~ sQ76_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f360,f1359]) ).
fof(f5381,plain,
( ~ sQ74_spl
| ~ sQ76_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f360,f1287]) ).
fof(f5382,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f360,f1256]) ).
fof(f5383,plain,
( ~ sQ76_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f360,f1255]) ).
fof(f5389,plain,
( ~ sQ61_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5379,f69]) ).
fof(f5390,plain,
( ~ sQ61_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f5389]) ).
fof(f5391,plain,
( ~ sQ70_spl
| ~ sQ76_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f5380,f245,f359,f340]) ).
fof(f5392,plain,
( ~ sQ74_spl
| ~ sQ76_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f5381,f519,f359,f352]) ).
fof(f5424,plain,
( ~ sQ83_spl
| ~ sQ92_spl
| ~ sQ18_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f5034,f1901]) ).
fof(f5430,plain,
( ~ sQ83_spl
| ~ sQ92_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5424,f73]) ).
fof(f5431,plain,
( ~ sQ83_spl
| ~ sQ92_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f5430]) ).
fof(f5433,plain,
( ~ sQ51_spl
| ~ sQ24_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f3956,f465,f181,f275]) ).
fof(f5434,plain,
( ~ sQ51_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5292,f69]) ).
fof(f5435,plain,
( ~ sQ51_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f5434]) ).
fof(f5436,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ30_spl
| product(e_1,X0,e_5)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f5235,f949]) ).
fof(f5489,plain,
( ~ sQ30_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f205,f948]) ).
fof(f5490,plain,
( ~ sQ45_spl
| ~ sQ30_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f205,f1195]) ).
fof(f5491,plain,
( ~ sQ30_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f947]) ).
fof(f5492,plain,
( ~ sQ44_spl
| ~ sQ30_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f205,f776]) ).
fof(f5493,plain,
( ~ sQ43_spl
| ~ sQ30_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f205,f783]) ).
fof(f5494,plain,
( ~ sQ110_spl
| ~ sQ30_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f205,f2786]) ).
fof(f5495,plain,
( ~ sQ0_spl
| ~ sQ30_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f205,f2376]) ).
fof(f5501,plain,
( ~ sQ45_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5490,f77]) ).
fof(f5502,plain,
( ~ sQ45_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f5501]) ).
fof(f5513,plain,
( ~ sQ99_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f438,f1582]) ).
fof(f5514,plain,
( ~ sQ9_spl
| ~ sQ99_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f438,f565]) ).
fof(f5516,plain,
( ~ sQ99_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f438,f1583]) ).
fof(f5517,plain,
( ~ sQ94_spl
| ~ sQ99_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f438,f1682]) ).
fof(f5518,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f438,f1796]) ).
fof(f5519,plain,
( ~ sQ99_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f438,f1580]) ).
fof(f5524,plain,
( ~ sQ9_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5514,f84]) ).
fof(f5525,plain,
( ~ sQ9_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f5524]) ).
fof(f5526,plain,
( ~ sQ94_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5517,f76]) ).
fof(f5527,plain,
( ~ sQ94_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f5526]) ).
fof(f5528,plain,
( ~ sQ44_spl
| ~ sQ30_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f5492,f478,f204,f248]) ).
fof(f5581,plain,
( ~ sQ40_spl
| ~ sQ44_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f249,f867]) ).
fof(f5582,plain,
( ~ sQ44_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f249,f775]) ).
fof(f5583,plain,
( ~ sQ88_spl
| ~ sQ44_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f249,f1806]) ).
fof(f5584,plain,
( ~ sQ44_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f249,f774]) ).
fof(f5591,plain,
( ~ sQ40_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5581,f83]) ).
fof(f5592,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f5591]) ).
fof(f5594,plain,
( ~ sQ23_spl
| ~ sQ93_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f419,f667]) ).
fof(f5595,plain,
( ~ sQ18_spl
| ~ sQ93_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f419,f699]) ).
fof(f5596,plain,
( ~ sQ52_spl
| ~ sQ93_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f419,f1056]) ).
fof(f5603,plain,
( ~ sQ23_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5594,f84]) ).
fof(f5604,plain,
( ~ sQ23_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f5603]) ).
fof(f5605,plain,
( ~ sQ52_spl
| ~ sQ93_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f5596,f428,f418,f278]) ).
fof(f5606,plain,
( ~ sQ52_spl
| ~ sQ16_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1158,f275,f156,f278]) ).
fof(f5660,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f5203,f93]) ).
fof(f5661,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f5203,f91]) ).
fof(f5662,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f5203,f89]) ).
fof(f5663,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ74_spl
| product(e_4,X0,e_5)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f5203,f95]) ).
fof(f5671,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ74_spl
| ~ sQ105_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f2558,f5203]) ).
fof(f5672,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ74_spl
| ~ sQ105_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f5671,f405,f462,f352,f162,f415]) ).
fof(f5716,plain,
( ~ sQ46_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f260,f4612]) ).
fof(f5717,plain,
( ~ sQ35_spl
| ~ sQ46_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f260,f921]) ).
fof(f5723,plain,
( ~ sQ35_spl
| ~ sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f5717,f256,f259,f220]) ).
fof(f5734,plain,
( ~ sQ46_spl
| ~ sQ37_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f882,f260]) ).
fof(f5735,plain,
( ~ sQ46_spl
| ~ sQ37_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f5734,f288,f226,f259]) ).
fof(f5738,plain,
( ~ sQ94_spl
| ~ sQ93_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1707,f380,f418,f421]) ).
fof(f5790,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f1416]) ).
fof(f5791,plain,
( ~ sQ64_spl
| ~ sQ63_spl
| product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f1412]) ).
fof(f5793,plain,
( ~ sQ58_spl
| ~ sQ63_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f318,f1011]) ).
fof(f5799,plain,
( ~ sQ64_spl
| ~ sQ63_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f5791,f471,f317,f320]) ).
fof(f5800,plain,
( ~ sQ58_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5793,f81]) ).
fof(f5801,plain,
( ~ sQ58_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f5800]) ).
fof(f5824,plain,
( ~ sQ97_spl
| ~ sQ12_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f141,f1664]) ).
fof(f5825,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f141,f573]) ).
fof(f5826,plain,
( ~ sQ12_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f141,f544]) ).
fof(f5827,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f141,f2379]) ).
fof(f5828,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f141,f2300]) ).
fof(f5835,plain,
( ~ sQ97_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5824,f70]) ).
fof(f5836,plain,
( ~ sQ97_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f5835]) ).
fof(f5837,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f5827,f242,f140,f102]) ).
fof(f5838,plain,
( ~ sQ3_spl
| ~ sQ12_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f5828,f362,f140,f111]) ).
fof(f5840,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ7_spl
| product(e_3,X0,e_5)
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4249,f575]) ).
fof(f5841,plain,
( ~ sQ7_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5825,f67]) ).
fof(f5842,plain,
( ~ sQ7_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f5841]) ).
fof(f5874,plain,
( ~ sQ12_spl
| ~ sQ42_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f785,f141]) ).
fof(f5875,plain,
( ~ sQ12_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5874,f75]) ).
fof(f5876,plain,
( ~ sQ12_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f5875]) ).
fof(f5897,plain,
( ~ sQ89_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f406,f1798]) ).
fof(f5899,plain,
( ~ sQ89_spl
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f406,f1799]) ).
fof(f5900,plain,
( ~ sQ89_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f406,f1796]) ).
fof(f5905,plain,
( ~ sQ89_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f5899,f446,f405]) ).
fof(f5918,plain,
( ~ sQ28_spl
| ~ sQ93_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f419,f626]) ).
fof(f5919,plain,
( ~ sQ52_spl
| ~ sQ93_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f419,f1056]) ).
fof(f5926,plain,
( ~ sQ28_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5918,f83]) ).
fof(f5927,plain,
( ~ sQ28_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f5926]) ).
fof(f5938,plain,
( ~ sQ0_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f103,f2378]) ).
fof(f5939,plain,
( ~ sQ14_spl
| ~ sQ0_spl
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f103,f530]) ).
fof(f5941,plain,
( ~ sQ15_spl
| ~ sQ0_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f103,f765]) ).
fof(f5942,plain,
( ~ sQ0_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f103,f2376]) ).
fof(f5947,plain,
( ~ sQ14_spl
| ~ sQ0_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f5939,f484,f102,f146]) ).
fof(f5948,plain,
( ~ sQ15_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5941,f76]) ).
fof(f5949,plain,
( ~ sQ15_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f5948]) ).
fof(f5950,plain,
! [X0] :
( ~ sQ97_spl
| 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(backward_subsumption_resolution,[status(thm)],[f96,f1666]) ).
fof(f5951,plain,
! [X0] :
( ~ sQ109_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f376,f2282]) ).
fof(f5952,plain,
( ~ sQ109_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4631,f86]) ).
fof(f5953,plain,
( ~ sQ109_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f5952]) ).
fof(f5954,plain,
( ~ sQ124_spl
| ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4635,f83]) ).
fof(f5955,plain,
( ~ sQ124_spl
| ~ sQ104_spl ),
inference(contradiction_clause,[status(thm)],[f5954]) ).
fof(f5986,plain,
( ~ sQ93_spl
| ~ sQ103_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f4155,f419]) ).
fof(f5987,plain,
( ~ sQ93_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5986,f74]) ).
fof(f5988,plain,
( ~ sQ93_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f5987]) ).
fof(f5989,plain,
( ~ sQ12_spl
| ~ sQ55_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f3873,f294,f288,f140]) ).
fof(f5990,plain,
( ~ sQ18_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5595,f85]) ).
fof(f5991,plain,
( ~ sQ18_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f5990]) ).
fof(f6032,plain,
( ~ sQ93_spl
| ~ sQ83_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1899,f419]) ).
fof(f6033,plain,
( ~ sQ93_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6032,f73]) ).
fof(f6034,plain,
( ~ sQ93_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f6033]) ).
fof(f6036,plain,
( ~ sQ15_spl
| ~ sQ52_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f279,f768]) ).
fof(f6038,plain,
( ~ sQ52_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f279,f1053]) ).
fof(f6043,plain,
( ~ sQ46_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f260,f4613]) ).
fof(f6044,plain,
( ~ sQ38_spl
| ~ sQ46_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f260,f878]) ).
fof(f6061,plain,
( ~ sQ46_spl
| ~ sQ31_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f943,f260]) ).
fof(f6062,plain,
( ~ sQ46_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6061,f81]) ).
fof(f6063,plain,
( ~ sQ46_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f6062]) ).
fof(f6084,plain,
( ~ sQ96_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f429,f1672]) ).
fof(f6085,plain,
( ~ sQ6_spl
| ~ sQ96_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f429,f578]) ).
fof(f6086,plain,
( ~ sQ6_spl
| ~ sQ96_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f429,f580]) ).
fof(f6087,plain,
( ~ sQ96_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f429,f1671]) ).
fof(f6088,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f429,f2461]) ).
fof(f6089,plain,
( ~ sQ96_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f429,f1670]) ).
fof(f6094,plain,
( ~ sQ6_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6085,f84]) ).
fof(f6095,plain,
( ~ sQ6_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f6094]) ).
fof(f6096,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6088,f77]) ).
fof(f6097,plain,
( ~ sQ81_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f6096]) ).
fof(f6138,plain,
( ~ sQ96_spl
| ~ sQ8_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f571,f429]) ).
fof(f6139,plain,
( ~ sQ52_spl
| ~ sQ15_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f768,f279]) ).
fof(f6140,plain,
( ~ sQ96_spl
| ~ sQ5_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f2387,f429]) ).
fof(f6141,plain,
( ~ sQ96_spl
| ~ sQ5_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f6140,f399,f118,f428]) ).
fof(f6142,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f198,f618]) ).
fof(f6145,plain,
( ~ sQ29_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f198,f616]) ).
fof(f6190,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ72_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1298,f5034]) ).
fof(f6191,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ72_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f6190,f434,f346,f162,f415]) ).
fof(f6203,plain,
( ~ sQ85_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f394,f1885]) ).
fof(f6204,plain,
( ~ sQ85_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f394,f1884]) ).
fof(f6209,plain,
( ~ sQ85_spl
| ~ sQ40_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f866,f394]) ).
fof(f6210,plain,
( ~ sQ85_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6209,f83]) ).
fof(f6211,plain,
( ~ sQ85_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f6210]) ).
fof(f6243,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f109,f573]) ).
fof(f6250,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6243,f76]) ).
fof(f6251,plain,
( ~ sQ7_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f6250]) ).
fof(f6287,plain,
( ~ sQ65_spl
| ~ sQ38_spl
| ~ sQ46_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f6044,f1406]) ).
fof(f6288,plain,
( ~ sQ77_spl
| ~ sQ38_spl
| ~ sQ46_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f6044,f1249]) ).
fof(f6289,plain,
( ~ sQ50_spl
| ~ sQ38_spl
| ~ sQ46_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f6044,f1066]) ).
fof(f6294,plain,
( ~ sQ65_spl
| ~ sQ38_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6287,f81]) ).
fof(f6295,plain,
( ~ sQ65_spl
| ~ sQ38_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f6294]) ).
fof(f6296,plain,
( ~ sQ77_spl
| ~ sQ38_spl
| ~ sQ46_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f6288,f297,f259,f229,f362]) ).
fof(f6297,plain,
( ~ sQ50_spl
| ~ sQ38_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6289,f80]) ).
fof(f6298,plain,
( ~ sQ50_spl
| ~ sQ38_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f6297]) ).
fof(f6300,plain,
( ~ sQ117_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f501,f2173]) ).
fof(f6301,plain,
( ~ sQ117_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f501,f2172]) ).
fof(f6319,plain,
( ~ sQ117_spl
| ~ sQ111_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f2610,f501]) ).
fof(f6320,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ72_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1298,f5034]) ).
fof(f6321,plain,
( ~ sQ117_spl
| ~ sQ72_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1295,f501]) ).
fof(f6322,plain,
( ~ sQ117_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6321,f86]) ).
fof(f6323,plain,
( ~ sQ117_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f6322]) ).
fof(f6355,plain,
( ~ sQ27_spl
| ~ sQ92_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f416,f633]) ).
fof(f6362,plain,
( ~ sQ27_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6355,f83]) ).
fof(f6363,plain,
( ~ sQ27_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f6362]) ).
fof(f6366,plain,
( ~ sQ24_spl
| ~ sQ91_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f1778,f449,f412,f181]) ).
fof(f6367,plain,
( ~ sQ117_spl
| ~ sQ111_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f6319,f181,f481,f500]) ).
fof(f6368,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ16_spl
| product(e_2,X0,e_4)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1892,f760]) ).
fof(f6370,plain,
( ~ sQ110_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5494,f70]) ).
fof(f6371,plain,
( ~ sQ110_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f6370]) ).
fof(f6372,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ83_spl
| product(e_4,X0,e_4)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4032,f1902]) ).
fof(f6413,plain,
( ~ sQ117_spl
| ~ sQ113_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f2278,f501]) ).
fof(f6414,plain,
( ~ sQ117_spl
| ~ sQ113_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f6413,f352,f487,f500]) ).
fof(f6445,plain,
( ~ sQ27_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f192,f634]) ).
fof(f6446,plain,
( ~ sQ16_spl
| ~ sQ27_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f192,f760]) ).
fof(f6448,plain,
( ~ sQ12_spl
| ~ sQ27_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f192,f543]) ).
fof(f6455,plain,
( ~ sQ16_spl
| ~ sQ27_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f6446,f188,f191,f156]) ).
fof(f6456,plain,
( ~ sQ12_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6448,f72]) ).
fof(f6457,plain,
( ~ sQ12_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f6456]) ).
fof(f6490,plain,
( ~ sQ27_spl
| ~ sQ18_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f701,f192]) ).
fof(f6491,plain,
( ~ sQ27_spl
| ~ sQ18_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f6490,f359,f162,f191]) ).
fof(f6503,plain,
( ~ sQ27_spl
| ~ sQ15_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f768,f192]) ).
fof(f6504,plain,
( ~ sQ27_spl
| ~ sQ15_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f6503,f239,f153,f191]) ).
fof(f6561,plain,
( ~ sQ45_spl
| ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ70_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f5229,f1197]) ).
fof(f6562,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f5229,f93]) ).
fof(f6563,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ70_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f5229,f91]) ).
fof(f6564,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ70_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f5229,f89]) ).
fof(f6565,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ70_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f5229,f95]) ).
fof(f6566,plain,
( ~ sQ45_spl
| ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ70_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f6561,f393,f340,f162,f415,f256]) ).
fof(f6591,plain,
( ~ sQ92_spl
| ~ sQ18_spl
| ~ sQ70_spl
| ~ sQ48_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1173,f5229]) ).
fof(f6593,plain,
( ~ sQ6_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f122,f579]) ).
fof(f6594,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f122,f554]) ).
fof(f6595,plain,
( ~ sQ6_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f122,f578]) ).
fof(f6596,plain,
( ~ sQ6_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f122,f580]) ).
fof(f6597,plain,
( ~ sQ6_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f122,f577]) ).
fof(f6602,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6594,f71]) ).
fof(f6603,plain,
( ~ sQ11_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f6602]) ).
fof(f6604,plain,
( ~ sQ6_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f6596,f175,f121]) ).
fof(f6625,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f315,f1574]) ).
fof(f6626,plain,
( ~ sQ62_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f315,f1565]) ).
fof(f6627,plain,
( ~ sQ62_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f315,f1564]) ).
fof(f6628,plain,
( ~ sQ68_spl
| ~ sQ62_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f315,f1388]) ).
fof(f6634,plain,
( ~ sQ61_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6625,f76]) ).
fof(f6635,plain,
( ~ sQ61_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f6634]) ).
fof(f6646,plain,
( ~ sQ62_spl
| ~ sQ66_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f1404,f315]) ).
fof(f6647,plain,
( ~ sQ62_spl
| ~ sQ66_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f6646,f281,f327,f314]) ).
fof(f6648,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ7_spl
| product(e_3,X0,e_5)
| product(e_3,X0,e_3)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1075,f575]) ).
fof(f6649,plain,
( ~ sQ31_spl
| ~ sQ36_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f976,f153,f223,f207]) ).
fof(f6692,plain,
( ~ sQ19_spl
| ~ sQ92_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f416,f695]) ).
fof(f6694,plain,
( ~ sQ87_spl
| ~ sQ92_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f416,f1809]) ).
fof(f6700,plain,
( ~ sQ87_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6694,f71]) ).
fof(f6701,plain,
( ~ sQ87_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f6700]) ).
fof(f6703,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ45_spl
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4499,f1197]) ).
fof(f6704,plain,
! [X0] :
( ~ sQ7_spl
| product(e_3,X0,e_5)
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f96,f575]) ).
fof(f6706,plain,
( ~ sQ23_spl
| ~ sQ26_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f189,f669]) ).
fof(f6708,plain,
( ~ sQ11_spl
| ~ sQ26_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f189,f553]) ).
fof(f6709,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f189,f641]) ).
fof(f6715,plain,
( ~ sQ23_spl
| ~ sQ26_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f6706,f359,f188,f178]) ).
fof(f6716,plain,
( ~ sQ11_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6708,f72]) ).
fof(f6717,plain,
( ~ sQ11_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f6716]) ).
fof(f6718,plain,
( ~ sQ43_spl
| ~ sQ30_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f5493,f324,f204,f245]) ).
fof(f6719,plain,
! [X0] :
( ~ sQ83_spl
| 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(backward_subsumption_resolution,[status(thm)],[f255,f1902]) ).
fof(f6720,plain,
( ~ sQ76_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5294,f73]) ).
fof(f6721,plain,
( ~ sQ76_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f6720]) ).
fof(f6762,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f662,f189]) ).
fof(f6764,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f6762,f641]) ).
fof(f6765,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ24_spl
| ~ greater(e_2,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f6762,f61]) ).
fof(f6766,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ24_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f6762,f93]) ).
fof(f6767,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ24_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f6762,f91]) ).
fof(f6768,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f6762,f89]) ).
fof(f6769,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ24_spl
| product(e_2,X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f6762,f95]) ).
fof(f6771,plain,
( ~ sQ26_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6764,f84]) ).
fof(f6772,plain,
( ~ sQ26_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f6771]) ).
fof(f6794,plain,
( ~ sQ26_spl
| ~ sQ22_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f675,f189]) ).
fof(f6795,plain,
( ~ sQ26_spl
| ~ sQ22_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f6794,f137,f175,f188]) ).
fof(f6827,plain,
( ~ sQ123_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f520,f2094]) ).
fof(f6828,plain,
( ~ sQ103_spl
| ~ sQ123_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f520,f4156]) ).
fof(f6829,plain,
( ~ sQ118_spl
| ~ sQ123_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f520,f2167]) ).
fof(f6830,plain,
( ~ sQ108_spl
| ~ sQ123_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f520,f2285]) ).
fof(f6832,plain,
( ~ sQ108_spl
| ~ sQ123_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f520,f2287]) ).
fof(f6833,plain,
( ~ sQ28_spl
| ~ sQ123_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f520,f625]) ).
fof(f6834,plain,
( ~ sQ123_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f520,f2092]) ).
fof(f6835,plain,
! [X0] :
( ~ sQ123_spl
| ~ greater(e_4,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f520,f61]) ).
fof(f6836,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f520,f93]) ).
fof(f6837,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f520,f91]) ).
fof(f6838,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f520,f89]) ).
fof(f6839,plain,
! [X0] :
( ~ sQ123_spl
| product(e_4,X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f520,f95]) ).
fof(f6840,plain,
( ~ sQ103_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6828,f70]) ).
fof(f6841,plain,
( ~ sQ103_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f6840]) ).
fof(f6842,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ114_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2090,f2183]) ).
fof(f6843,plain,
( ~ sQ124_spl
| ~ sQ114_spl
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f6842,f66]) ).
fof(f6844,plain,
( ~ sQ124_spl
| ~ sQ114_spl
| product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f6842,f65]) ).
fof(f6846,plain,
( ~ sQ124_spl
| ~ sQ114_spl
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f6842,f63]) ).
fof(f6848,plain,
( ~ sQ124_spl
| ~ sQ114_spl
| sQ104_spl
| sQ103_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f6843,f449,f455,f458,f490,f522]) ).
fof(f6849,plain,
( ~ sQ124_spl
| ~ sQ114_spl
| sQ109_spl
| sQ108_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f6844,f465,f471,f474,f490,f522]) ).
fof(f6851,plain,
( ~ sQ124_spl
| ~ sQ114_spl
| sQ119_spl
| sQ118_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f6846,f497,f503,f506,f490,f522]) ).
fof(f6855,plain,
( ~ sQ86_spl
| ~ sQ39_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f233,f1819]) ).
fof(f6861,plain,
( ~ sQ22_spl
| ~ sQ86_spl
| ~ sQ39_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f6855,f674]) ).
fof(f6862,plain,
( ~ sQ15_spl
| ~ sQ86_spl
| ~ sQ39_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f6855,f766]) ).
fof(f6863,plain,
( ~ sQ28_spl
| ~ sQ86_spl
| ~ sQ39_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f6855,f628]) ).
fof(f6864,plain,
( ~ sQ5_spl
| ~ sQ86_spl
| ~ sQ39_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f6855,f2384]) ).
fof(f6865,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f6855,f93]) ).
fof(f6866,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f6855,f91]) ).
fof(f6867,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ39_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f6855,f89]) ).
fof(f6868,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ39_spl
| product(e_1,X0,e_2)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f6855,f95]) ).
fof(f6869,plain,
( ~ sQ22_spl
| ~ sQ86_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6861,f68]) ).
fof(f6870,plain,
( ~ sQ22_spl
| ~ sQ86_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f6869]) ).
fof(f6871,plain,
( ~ sQ15_spl
| ~ sQ86_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6862,f72]) ).
fof(f6872,plain,
( ~ sQ15_spl
| ~ sQ86_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f6871]) ).
fof(f6914,plain,
( ~ sQ39_spl
| ~ sQ89_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f1799,f233]) ).
fof(f6916,plain,
( ~ sQ98_spl
| ~ sQ58_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f298,f1585]) ).
fof(f6917,plain,
( ~ sQ3_spl
| ~ sQ58_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f298,f2298]) ).
fof(f6918,plain,
( ~ sQ55_spl
| ~ sQ58_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f298,f1035]) ).
fof(f6919,plain,
( ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f298,f1012]) ).
fof(f6920,plain,
( ~ sQ58_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f298,f1014]) ).
fof(f6921,plain,
( ~ sQ58_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f298,f1011]) ).
fof(f6926,plain,
( ~ sQ98_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6916,f82]) ).
fof(f6927,plain,
( ~ sQ98_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f6926]) ).
fof(f6931,plain,
( ~ sQ39_spl
| ~ sQ46_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f260,f874]) ).
fof(f6947,plain,
( ~ sQ100_spl
| ~ sQ39_spl
| ~ sQ46_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f6931,f2562]) ).
fof(f6948,plain,
( ~ sQ121_spl
| ~ sQ39_spl
| ~ sQ46_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f6931,f2781]) ).
fof(f6949,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ46_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f6931,f93]) ).
fof(f6950,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ46_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f6931,f91]) ).
fof(f6951,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f6931,f89]) ).
fof(f6952,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ46_spl
| product(e_1,X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f6931,f95]) ).
fof(f6953,plain,
( ~ sQ100_spl
| ~ sQ39_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6947,f82]) ).
fof(f6954,plain,
( ~ sQ100_spl
| ~ sQ39_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f6953]) ).
fof(f6955,plain,
( ~ sQ58_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f6920,f314,f297]) ).
fof(f6996,plain,
( ~ sQ91_spl
| ~ sQ121_spl
| ~ sQ39_spl
| ~ sQ46_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f6948,f1783]) ).
fof(f6997,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ39_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f6948,f93]) ).
fof(f6998,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ39_spl
| ~ sQ46_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f6948,f91]) ).
fof(f6999,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ39_spl
| ~ sQ46_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f6948,f89]) ).
fof(f7000,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ39_spl
| ~ sQ46_spl
| product(e_5,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f6948,f95]) ).
fof(f7001,plain,
( ~ sQ91_spl
| ~ sQ121_spl
| ~ sQ39_spl
| ~ sQ46_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f6996,f275,f259,f232,f513,f412]) ).
fof(f7022,plain,
( ~ sQ39_spl
| ~ sQ46_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f6949,f6931]) ).
fof(f7025,plain,
( ~ sQ39_spl
| ~ sQ87_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1812,f233]) ).
fof(f7026,plain,
( ~ sQ39_spl
| ~ sQ46_spl
| ~ sQ124_spl
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f2089,f6931]) ).
fof(f7027,plain,
( ~ sQ39_spl
| ~ sQ46_spl
| ~ sQ124_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f7026,f474,f522,f259,f232]) ).
fof(f7028,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ124_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f5951,f2089]) ).
fof(f7029,plain,
( ~ sQ4_spl
| ~ sQ97_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1662,f452,f431,f114]) ).
fof(f7030,plain,
( sQ105_spl
| ~ sQ39_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f464,f6931]) ).
fof(f7031,plain,
( sQ105_spl
| ~ sQ39_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f7030]) ).
fof(f7032,plain,
! [X0] :
( ~ sQ124_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f376,f2089]) ).
fof(f7064,plain,
( ~ sQ39_spl
| ~ sQ46_spl
| ~ sQ124_spl
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f2089,f6931]) ).
fof(f7065,plain,
( ~ sQ46_spl
| ~ sQ61_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1572,f260]) ).
fof(f7066,plain,
( ~ sQ46_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7065,f69]) ).
fof(f7067,plain,
( ~ sQ46_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f7066]) ).
fof(f7116,plain,
( ~ sQ38_spl
| ~ sQ46_spl
| ~ sQ79_spl
| product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f1204,f6044]) ).
fof(f7117,plain,
( ~ sQ38_spl
| ~ sQ46_spl
| ~ sQ64_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1411,f6044]) ).
fof(f7118,plain,
( ~ sQ38_spl
| ~ sQ46_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7117,f70]) ).
fof(f7119,plain,
( ~ sQ38_spl
| ~ sQ46_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f7118]) ).
fof(f7123,plain,
( ~ sQ38_spl
| ~ sQ46_spl
| ~ sQ78_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f1209,f6044]) ).
fof(f7125,plain,
( ~ sQ20_spl
| ~ sQ91_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f413,f688]) ).
fof(f7126,plain,
( ~ sQ23_spl
| ~ sQ91_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f413,f669]) ).
fof(f7133,plain,
( ~ sQ23_spl
| ~ sQ91_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f7126,f380,f412,f178]) ).
fof(f7142,plain,
( ~ sQ11_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f138,f555]) ).
fof(f7143,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f138,f567]) ).
fof(f7144,plain,
( ~ sQ11_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f138,f554]) ).
fof(f7145,plain,
( ~ sQ11_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f138,f553]) ).
fof(f7181,plain,
( ~ sQ91_spl
| ~ sQ22_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f675,f413]) ).
fof(f7182,plain,
( ~ sQ91_spl
| ~ sQ22_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f7181,f428,f175,f412]) ).
fof(f7193,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f575,f138]) ).
fof(f7194,plain,
( ~ sQ11_spl
| ~ sQ7_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f7193,f140,f124,f137]) ).
fof(f7196,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ73_spl
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f6719,f1293]) ).
fof(f7217,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f571,f138]) ).
fof(f7218,plain,
( ~ sQ91_spl
| ~ sQ24_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f662,f413]) ).
fof(f7219,plain,
( ~ sQ91_spl
| ~ sQ86_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1816,f413]) ).
fof(f7220,plain,
( ~ sQ91_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7219,f71]) ).
fof(f7221,plain,
( ~ sQ91_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f7220]) ).
fof(f7257,plain,
( ~ sQ39_spl
| ~ sQ46_spl
| ~ sQ55_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1032,f6931]) ).
fof(f7258,plain,
( ~ sQ39_spl
| ~ sQ46_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7257,f85]) ).
fof(f7259,plain,
( ~ sQ39_spl
| ~ sQ46_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f7258]) ).
fof(f7260,plain,
( ~ sQ15_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f154,f767]) ).
fof(f7261,plain,
( ~ sQ15_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f154,f766]) ).
fof(f7262,plain,
( ~ sQ28_spl
| ~ sQ15_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f154,f628]) ).
fof(f7263,plain,
( ~ sQ15_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f154,f765]) ).
fof(f7288,plain,
( ~ sQ102_spl
| ~ sQ39_spl
| ~ sQ46_spl
| ~ sQ124_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f7064,f2631]) ).
fof(f7289,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ46_spl
| ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f7064,f93]) ).
fof(f7290,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ46_spl
| ~ sQ124_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f7064,f91]) ).
fof(f7291,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ46_spl
| ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f7064,f89]) ).
fof(f7292,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ46_spl
| ~ sQ124_spl
| product(e_5,X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f7064,f95]) ).
fof(f7293,plain,
( ~ sQ102_spl
| ~ sQ39_spl
| ~ sQ46_spl
| ~ sQ124_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f7288,f300,f522,f259,f232,f452]) ).
fof(f7294,plain,
( ~ sQ28_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6833,f84]) ).
fof(f7295,plain,
( ~ sQ28_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f7294]) ).
fof(f7296,plain,
( sQ66_spl
| ~ sQ28_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f329,f7262]) ).
fof(f7297,plain,
( sQ66_spl
| ~ sQ28_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f7296]) ).
fof(f7339,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ15_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f7262,f93]) ).
fof(f7340,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ15_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f7262,f91]) ).
fof(f7341,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ15_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f7262,f89]) ).
fof(f7342,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ15_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f7262,f95]) ).
fof(f7343,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f2387,f138]) ).
fof(f7344,plain,
( ~ sQ11_spl
| ~ sQ5_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f7343,f242,f118,f137]) ).
fof(f7347,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f7217,f362,f127,f137]) ).
fof(f7349,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f7143,f516,f137,f130]) ).
fof(f7350,plain,
( ~ sQ86_spl
| ~ sQ39_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f6855,f169,f232,f396]) ).
fof(f7351,plain,
( ~ sQ28_spl
| ~ sQ86_spl
| ~ sQ39_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f6863,f343,f232,f396,f194]) ).
fof(f7352,plain,
( ~ sQ94_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f1706,f449,f421]) ).
fof(f7354,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ124_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_2)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3695,f2089]) ).
fof(f7395,plain,
( ~ sQ73_spl
| ~ sQ28_spl
| ~ sQ15_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f7262,f1293]) ).
fof(f7400,plain,
( ~ sQ73_spl
| ~ sQ28_spl
| ~ sQ15_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f7395,f333,f153,f194,f349]) ).
fof(f7446,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ89_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f6914,f93]) ).
fof(f7447,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ89_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f6914,f91]) ).
fof(f7448,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ89_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f6914,f89]) ).
fof(f7449,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ89_spl
| product(e_1,X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f6914,f95]) ).
fof(f7455,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f4975,f54]) ).
fof(f7456,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f4975,f51]) ).
fof(f7457,plain,
( ~ sQ39_spl
| ~ sQ89_spl
| ~ sQ87_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f4015,f6914]) ).
fof(f7458,plain,
( ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4015,f7025]) ).
fof(f7459,plain,
( ~ sQ39_spl
| ~ sQ89_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7457,f85]) ).
fof(f7460,plain,
( ~ sQ39_spl
| ~ sQ89_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f7459]) ).
fof(f7462,plain,
( ~ sQ108_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6830,f69]) ).
fof(f7463,plain,
( ~ sQ108_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f7462]) ).
fof(f7504,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ18_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f701,f4875]) ).
fof(f7506,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f695,f4875]) ).
fof(f7507,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f7506,f513,f165,f291,f143]) ).
fof(f7509,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4976,f4875]) ).
fof(f7512,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f2308]) ).
fof(f7517,plain,
( ~ sQ87_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f400,f1811]) ).
fof(f7518,plain,
( ~ sQ47_spl
| ~ sQ87_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f400,f1180]) ).
fof(f7519,plain,
( ~ sQ87_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f400,f1810]) ).
fof(f7520,plain,
( ~ sQ31_spl
| ~ sQ87_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f400,f945]) ).
fof(f7521,plain,
( ~ sQ82_spl
| ~ sQ87_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f400,f1907]) ).
fof(f7522,plain,
( ~ sQ87_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f400,f1809]) ).
fof(f7527,plain,
( ~ sQ47_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7518,f86]) ).
fof(f7528,plain,
( ~ sQ47_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f7527]) ).
fof(f7540,plain,
! [X0] :
( ~ sQ78_spl
| product(e_4,X0,e_5)
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f255,f1209]) ).
fof(f7591,plain,
( ~ sQ117_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f501,f2174]) ).
fof(f7592,plain,
( ~ sQ107_spl
| ~ sQ117_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f501,f2615]) ).
fof(f7593,plain,
( ~ sQ102_spl
| ~ sQ117_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f501,f2629]) ).
fof(f7594,plain,
( ~ sQ112_spl
| ~ sQ117_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f501,f2602]) ).
fof(f7595,plain,
( ~ sQ112_spl
| ~ sQ117_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f501,f2604]) ).
fof(f7597,plain,
( ~ sQ37_spl
| ~ sQ117_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f501,f879]) ).
fof(f7598,plain,
( ~ sQ117_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f501,f2172]) ).
fof(f7603,plain,
( ~ sQ107_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7592,f73]) ).
fof(f7604,plain,
( ~ sQ107_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f7603]) ).
fof(f7605,plain,
! [X0] :
( ~ sQ73_spl
| product(e_4,X0,e_5)
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f255,f1293]) ).
fof(f7606,plain,
( ~ sQ82_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7521,f69]) ).
fof(f7607,plain,
( ~ sQ82_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f7606]) ).
fof(f7628,plain,
( ~ sQ16_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f157,f759]) ).
fof(f7629,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f157,f678]) ).
fof(f7630,plain,
( ~ sQ16_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f157,f758]) ).
fof(f7636,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7629,f76]) ).
fof(f7637,plain,
( ~ sQ21_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f7636]) ).
fof(f7669,plain,
( ~ sQ102_spl
| ~ sQ124_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f523,f2631]) ).
fof(f7670,plain,
( ~ sQ124_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f523,f2087]) ).
fof(f7671,plain,
( ~ sQ124_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f523,f2086]) ).
fof(f7677,plain,
( ~ sQ102_spl
| ~ sQ124_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f7669,f146,f522,f452]) ).
fof(f7678,plain,
( ~ sQ124_spl
| ~ sQ14_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f527,f523]) ).
fof(f7679,plain,
( ~ sQ124_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7678,f85]) ).
fof(f7680,plain,
( ~ sQ124_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f7679]) ).
fof(f7692,plain,
( ~ sQ9_spl
| ~ sQ11_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f138,f567]) ).
fof(f7694,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f138,f571]) ).
fof(f7702,plain,
( ~ sQ61_spl
| ~ sQ73_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f350,f1575]) ).
fof(f7703,plain,
( ~ sQ60_spl
| ~ sQ73_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f350,f1579]) ).
fof(f7704,plain,
( ~ sQ64_spl
| ~ sQ73_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f350,f1412]) ).
fof(f7705,plain,
( ~ sQ73_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f350,f1291]) ).
fof(f7706,plain,
( ~ sQ8_spl
| ~ sQ73_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f350,f568]) ).
fof(f7707,plain,
( ~ sQ73_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f350,f1290]) ).
fof(f7712,plain,
( ~ sQ61_spl
| ~ sQ73_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f7702,f178,f349,f311]) ).
fof(f7713,plain,
( ~ sQ60_spl
| ~ sQ73_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f7703,f229,f349,f308]) ).
fof(f7714,plain,
( ~ sQ8_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7706,f81]) ).
fof(f7715,plain,
( ~ sQ8_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f7714]) ).
fof(f7716,plain,
( ~ sQ64_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3686,f69]) ).
fof(f7717,plain,
( ~ sQ64_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f7716]) ).
fof(f7719,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ35_spl
| product(e_1,X0,e_5)
| product(e_1,X0,e_3)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2144,f921]) ).
fof(f7740,plain,
( ~ sQ11_spl
| ~ sQ56_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1026,f138]) ).
fof(f7741,plain,
( ~ sQ11_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7740,f69]) ).
fof(f7742,plain,
( ~ sQ11_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f7741]) ).
fof(f7774,plain,
( ~ sQ19_spl
| ~ sQ27_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f192,f695]) ).
fof(f7776,plain,
( ~ sQ122_spl
| ~ sQ27_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f192,f2097]) ).
fof(f7777,plain,
( ~ sQ77_spl
| ~ sQ27_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f192,f1246]) ).
fof(f7778,plain,
( ~ sQ27_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f192,f632]) ).
fof(f7784,plain,
( ~ sQ122_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7776,f74]) ).
fof(f7785,plain,
( ~ sQ122_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f7784]) ).
fof(f7796,plain,
( ~ sQ98_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f435,f1586]) ).
fof(f7797,plain,
( ~ sQ55_spl
| ~ sQ98_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f435,f1035]) ).
fof(f7799,plain,
( ~ sQ98_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f435,f1584]) ).
fof(f7804,plain,
( ~ sQ55_spl
| ~ sQ98_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f7797,f399,f434,f288]) ).
fof(f7816,plain,
( ~ sQ98_spl
| ~ sQ8_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f569,f435]) ).
fof(f7817,plain,
( ~ sQ98_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7816,f84]) ).
fof(f7818,plain,
( ~ sQ98_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f7817]) ).
fof(f7858,plain,
( ~ sQ90_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f410,f1791]) ).
fof(f7859,plain,
( ~ sQ15_spl
| ~ sQ90_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f410,f766]) ).
fof(f7860,plain,
( ~ sQ28_spl
| ~ sQ90_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f410,f628]) ).
fof(f7861,plain,
( ~ sQ90_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f410,f1790]) ).
fof(f7862,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f410,f1789]) ).
fof(f7867,plain,
( ~ sQ15_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7859,f85]) ).
fof(f7868,plain,
( ~ sQ15_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f7867]) ).
fof(f7869,plain,
! [X0] :
( ~ sQ119_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_3)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f376,f2162]) ).
fof(f7870,plain,
( ~ sQ5_spl
| ~ sQ86_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6864,f72]) ).
fof(f7871,plain,
( ~ sQ5_spl
| ~ sQ86_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f7870]) ).
fof(f7873,plain,
( ~ sQ96_spl
| ~ sQ8_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f6138,f383,f127,f428]) ).
fof(f7914,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ93_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f5919,f93]) ).
fof(f7915,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ93_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f5919,f91]) ).
fof(f7916,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f5919,f89]) ).
fof(f7917,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ93_spl
| product(e_2,X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f5919,f95]) ).
fof(f7918,plain,
( ~ sQ52_spl
| ~ sQ93_spl
| ~ sQ8_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f571,f5919]) ).
fof(f7921,plain,
( ~ sQ52_spl
| ~ sQ93_spl
| ~ sQ96_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1670,f5919]) ).
fof(f7922,plain,
( ~ sQ76_spl
| ~ sQ77_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f363,f1257]) ).
fof(f7923,plain,
( ~ sQ77_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f363,f1248]) ).
fof(f7924,plain,
( ~ sQ82_spl
| ~ sQ77_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f363,f1908]) ).
fof(f7925,plain,
( ~ sQ66_spl
| ~ sQ77_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f363,f1404]) ).
fof(f7926,plain,
( ~ sQ77_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f363,f1247]) ).
fof(f7927,plain,
( ~ sQ12_spl
| ~ sQ77_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f363,f543]) ).
fof(f7928,plain,
( ~ sQ77_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f363,f1246]) ).
fof(f7934,plain,
( ~ sQ76_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7922,f76]) ).
fof(f7935,plain,
( ~ sQ76_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f7934]) ).
fof(f7936,plain,
( ~ sQ82_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7924,f70]) ).
fof(f7937,plain,
( ~ sQ82_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f7936]) ).
fof(f7938,plain,
( ~ sQ77_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7777,f73]) ).
fof(f7939,plain,
( ~ sQ77_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f7938]) ).
fof(f7940,plain,
( ~ sQ31_spl
| ~ sQ87_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f7520,f409,f399,f207]) ).
fof(f7941,plain,
( ~ sQ19_spl
| ~ sQ27_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f7774,f513,f191,f165]) ).
fof(f7943,plain,
( ~ sQ84_spl
| ~ sQ81_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1974,f418,f380,f389]) ).
fof(f7999,plain,
( ~ sQ28_spl
| ~ sQ15_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f7339,f7262]) ).
fof(f8000,plain,
( ~ sQ28_spl
| ~ sQ15_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f7340,f7262]) ).
fof(f8001,plain,
( ~ sQ28_spl
| ~ sQ15_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f7341,f7262]) ).
fof(f8002,plain,
( ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ70_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1359,f7262]) ).
fof(f8003,plain,
( ~ sQ59_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f301,f953]) ).
fof(f8004,plain,
( ~ sQ96_spl
| ~ sQ59_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f301,f1673]) ).
fof(f8005,plain,
( ~ sQ59_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f301,f952]) ).
fof(f8006,plain,
( ~ sQ64_spl
| ~ sQ59_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f301,f1409]) ).
fof(f8012,plain,
( ~ sQ96_spl
| ~ sQ59_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f8004,f278,f300,f428]) ).
fof(f8013,plain,
( ~ sQ64_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8006,f77]) ).
fof(f8014,plain,
( ~ sQ64_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f8013]) ).
fof(f8015,plain,
( ~ sQ12_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7927,f81]) ).
fof(f8016,plain,
( ~ sQ12_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f8015]) ).
fof(f8018,plain,
( ~ sQ28_spl
| ~ sQ90_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f7860,f380,f409,f194]) ).
fof(f8020,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ73_spl
| product(e_4,X0,e_5)
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f7540,f1293]) ).
fof(f8068,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4976,f4875]) ).
fof(f8071,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f695,f4875]) ).
fof(f8080,plain,
( ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f214,f934]) ).
fof(f8081,plain,
( ~ sQ88_spl
| ~ sQ33_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f214,f1804]) ).
fof(f8082,plain,
( ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f214,f933]) ).
fof(f8083,plain,
( ~ sQ47_spl
| ~ sQ33_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f214,f1182]) ).
fof(f8084,plain,
( ~ sQ68_spl
| ~ sQ33_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f214,f1385]) ).
fof(f8085,plain,
( ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f214,f932]) ).
fof(f8090,plain,
( ~ sQ88_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8081,f78]) ).
fof(f8091,plain,
( ~ sQ88_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f8090]) ).
fof(f8092,plain,
( ~ sQ101_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f450,f2775]) ).
fof(f8093,plain,
( ~ sQ121_spl
| ~ sQ101_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f450,f2779]) ).
fof(f8094,plain,
( ~ sQ101_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f450,f2774]) ).
fof(f8095,plain,
( ~ sQ117_spl
| ~ sQ101_spl
| product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f450,f2175]) ).
fof(f8096,plain,
( ~ sQ101_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f450,f2773]) ).
fof(f8097,plain,
( ~ sQ94_spl
| ~ sQ93_spl
| ~ sQ101_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f450,f2594]) ).
fof(f8102,plain,
( ~ sQ121_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8093,f83]) ).
fof(f8103,plain,
( ~ sQ121_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f8102]) ).
fof(f8104,plain,
( ~ sQ94_spl
| ~ sQ93_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8097,f86]) ).
fof(f8105,plain,
( ~ sQ94_spl
| ~ sQ93_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f8104]) ).
fof(f8108,plain,
( ~ sQ117_spl
| ~ sQ101_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f8095,f437,f449,f500]) ).
fof(f8110,plain,
( ~ sQ47_spl
| ~ sQ33_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f8083,f102,f213,f262]) ).
fof(f8141,plain,
( ~ sQ101_spl
| ~ sQ115_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f2785,f450]) ).
fof(f8143,plain,
( ~ sQ54_spl
| ~ sQ93_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f419,f1042]) ).
fof(f8145,plain,
( ~ sQ98_spl
| ~ sQ93_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f419,f1584]) ).
fof(f8151,plain,
( ~ sQ98_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8145,f72]) ).
fof(f8152,plain,
( ~ sQ98_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f8151]) ).
fof(f8154,plain,
( ~ sQ14_spl
| ~ sQ95_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1676,f452,f425,f146]) ).
fof(f8156,plain,
( ~ sQ3_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6917,f81]) ).
fof(f8157,plain,
( ~ sQ3_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f8156]) ).
fof(f8158,plain,
( ~ sQ118_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6829,f67]) ).
fof(f8159,plain,
( ~ sQ118_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f8158]) ).
fof(f8162,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f677]) ).
fof(f8208,plain,
( ~ sQ106_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f466,f2623]) ).
fof(f8209,plain,
( ~ sQ111_spl
| ~ sQ106_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f466,f2608]) ).
fof(f8210,plain,
( ~ sQ106_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f466,f2622]) ).
fof(f8211,plain,
( ~ sQ118_spl
| ~ sQ106_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f466,f2169]) ).
fof(f8212,plain,
( ~ sQ106_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f466,f2621]) ).
fof(f8217,plain,
( ~ sQ111_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8209,f81]) ).
fof(f8218,plain,
( ~ sQ111_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f8217]) ).
fof(f8219,plain,
( ~ sQ118_spl
| ~ sQ106_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f8211,f320,f465,f503]) ).
fof(f8220,plain,
( ~ sQ80_spl
| ~ sQ82_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f384,f1923]) ).
fof(f8221,plain,
( ~ sQ82_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f384,f1909]) ).
fof(f8222,plain,
( ~ sQ82_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f384,f1908]) ).
fof(f8223,plain,
( ~ sQ68_spl
| ~ sQ82_spl
| product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f384,f1388]) ).
fof(f8224,plain,
( ~ sQ82_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f384,f1907]) ).
fof(f8229,plain,
( ~ sQ80_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8220,f75]) ).
fof(f8230,plain,
( ~ sQ80_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f8229]) ).
fof(f8251,plain,
( ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f6931,f2100]) ).
fof(f8256,plain,
( ~ sQ14_spl
| ~ sQ39_spl
| ~ sQ87_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f7025,f530]) ).
fof(f8257,plain,
( ~ sQ70_spl
| ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f7025,f1356]) ).
fof(f8262,plain,
( ~ sQ14_spl
| ~ sQ39_spl
| ~ sQ87_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f8256,f500,f399,f232,f146]) ).
fof(f8263,plain,
( ~ sQ70_spl
| ~ sQ39_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8257,f77]) ).
fof(f8264,plain,
( ~ sQ70_spl
| ~ sQ39_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f8263]) ).
fof(f8285,plain,
( ~ sQ39_spl
| ~ sQ46_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f6949,f6931]) ).
fof(f8288,plain,
( ~ sQ21_spl
| ~ sQ116_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2176,f173]) ).
fof(f8289,plain,
( ~ sQ21_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8288,f74]) ).
fof(f8290,plain,
( ~ sQ21_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f8289]) ).
fof(f8301,plain,
( ~ sQ93_spl
| ~ sQ88_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1803,f419]) ).
fof(f8302,plain,
( ~ sQ93_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8301,f71]) ).
fof(f8303,plain,
( ~ sQ93_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f8302]) ).
fof(f8304,plain,
! [X0] :
( ~ sQ109_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f376,f2282]) ).
fof(f8305,plain,
( ~ sQ112_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7594,f72]) ).
fof(f8306,plain,
( ~ sQ112_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f8305]) ).
fof(f8307,plain,
( ~ sQ102_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7593,f74]) ).
fof(f8308,plain,
( ~ sQ102_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f8307]) ).
fof(f8349,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ93_spl
| ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f7918,f93]) ).
fof(f8350,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ93_spl
| ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f7918,f91]) ).
fof(f8351,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ93_spl
| ~ sQ8_spl
| equalish(X0,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f7918,f89]) ).
fof(f8352,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ93_spl
| ~ sQ8_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f7918,f95]) ).
fof(f8354,plain,
( ~ sQ93_spl
| ~ sQ52_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f1056,f419]) ).
fof(f8355,plain,
( ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f246,f782]) ).
fof(f8356,plain,
( ~ sQ47_spl
| ~ sQ43_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f246,f1182]) ).
fof(f8357,plain,
( ~ sQ43_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f246,f781]) ).
fof(f8358,plain,
( ~ sQ43_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f246,f780]) ).
fof(f8364,plain,
( ~ sQ47_spl
| ~ sQ43_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f8356,f134,f245,f262]) ).
fof(f8389,plain,
( ~ sQ96_spl
| ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f8251,f1673]) ).
fof(f8390,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f8251,f93]) ).
fof(f8391,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f8251,f91]) ).
fof(f8392,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f8251,f89]) ).
fof(f8393,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| product(e_5,X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f8251,f95]) ).
fof(f8394,plain,
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ87_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f7025,f539]) ).
fof(f8399,plain,
( ~ sQ39_spl
| ~ sQ46_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f6949,f6931]) ).
fof(f8400,plain,
( ~ sQ39_spl
| ~ sQ46_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f6950,f6931]) ).
fof(f8402,plain,
( ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4016,f7025]) ).
fof(f8403,plain,
( ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4017,f7025]) ).
fof(f8406,plain,
( ~ sQ76_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f360,f1257]) ).
fof(f8407,plain,
( ~ sQ72_spl
| ~ sQ76_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f360,f1298]) ).
fof(f8408,plain,
( ~ sQ76_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f360,f1256]) ).
fof(f8409,plain,
( ~ sQ76_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f360,f1255]) ).
fof(f8415,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f198,f618]) ).
fof(f8416,plain,
( ~ sQ29_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f198,f617]) ).
fof(f8417,plain,
( ~ sQ93_spl
| ~ sQ29_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f198,f1689]) ).
fof(f8418,plain,
( ~ sQ29_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f198,f616]) ).
fof(f8431,plain,
( ~ sQ28_spl
| ~ sQ15_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f7339,f7262]) ).
fof(f8432,plain,
( ~ sQ28_spl
| ~ sQ15_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f7340,f7262]) ).
fof(f8433,plain,
( ~ sQ28_spl
| ~ sQ15_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f7341,f7262]) ).
fof(f8434,plain,
( ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ71_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1303,f7262]) ).
fof(f8435,plain,
( ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ71_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f8434,f162,f343,f153,f194]) ).
fof(f8436,plain,
( ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ72_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1298,f7262]) ).
fof(f8437,plain,
( ~ sQ28_spl
| ~ sQ15_spl
| ~ sQ72_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f8436,f111,f346,f153,f194]) ).
fof(f8459,plain,
( ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ18_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f7504,f1293]) ).
fof(f8460,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ18_spl
| ~ greater(e_2,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f7504,f61]) ).
fof(f8461,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f7504,f93]) ).
fof(f8462,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ18_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f7504,f91]) ).
fof(f8463,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f7504,f89]) ).
fof(f8464,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ18_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f7504,f95]) ).
fof(f8465,plain,
( ~ sQ73_spl
| ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ18_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f8459,f365,f162,f291,f143,f349]) ).
fof(f8476,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f109,f2396]) ).
fof(f8477,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f2310]) ).
fof(f8478,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f2397]) ).
fof(f8479,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f2309]) ).
fof(f8480,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f2308]) ).
fof(f8485,plain,
( ~ sQ1_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8476,f76]) ).
fof(f8486,plain,
( ~ sQ1_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f8485]) ).
fof(f8488,plain,
( ~ sQ30_spl
| ~ sQ40_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f237,f947]) ).
fof(f8489,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f866]) ).
fof(f8496,plain,
( ~ sQ30_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8488,f68]) ).
fof(f8497,plain,
( ~ sQ30_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f8496]) ).
fof(f8533,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ87_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f8394,f93]) ).
fof(f8534,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ87_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f8394,f91]) ).
fof(f8535,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ87_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f8394,f89]) ).
fof(f8536,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ87_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f8394,f95]) ).
fof(f8537,plain,
( ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4016,f7025]) ).
fof(f8538,plain,
( ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4017,f7025]) ).
fof(f8540,plain,
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ87_spl
| ~ sQ65_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1408,f8394]) ).
fof(f8541,plain,
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ87_spl
| ~ sQ65_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f8540,f229,f324,f399,f232,f143]) ).
fof(f8552,plain,
( ~ sQ98_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f435,f1586]) ).
fof(f8553,plain,
( ~ sQ56_spl
| ~ sQ98_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f435,f1028]) ).
fof(f8554,plain,
( ~ sQ13_spl
| ~ sQ98_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f435,f537]) ).
fof(f8555,plain,
( ~ sQ98_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f435,f1585]) ).
fof(f8556,plain,
( ~ sQ83_spl
| ~ sQ98_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f435,f1899]) ).
fof(f8562,plain,
( ~ sQ56_spl
| ~ sQ98_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f8553,f415,f434,f291]) ).
fof(f8563,plain,
( ~ sQ13_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8554,f83]) ).
fof(f8564,plain,
( ~ sQ13_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f8563]) ).
fof(f8565,plain,
( ~ sQ68_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8084,f69]) ).
fof(f8566,plain,
( ~ sQ68_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f8565]) ).
fof(f8567,plain,
! [X0] :
( ~ sQ45_spl
| product(e_1,X0,e_5)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f98,f1197]) ).
fof(f8569,plain,
( ~ sQ50_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f273,f1068]) ).
fof(f8570,plain,
( ~ sQ90_spl
| ~ sQ50_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f273,f1790]) ).
fof(f8571,plain,
( ~ sQ50_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f273,f1067]) ).
fof(f8572,plain,
( ~ sQ50_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f273,f1066]) ).
fof(f8577,plain,
( ~ sQ90_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8570,f82]) ).
fof(f8578,plain,
( ~ sQ90_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f8577]) ).
fof(f8579,plain,
( ~ sQ72_spl
| ~ sQ76_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f8407,f143,f359,f346]) ).
fof(f8610,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ29_spl
| ~ greater(e_2,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f8417,f61]) ).
fof(f8611,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ29_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f8417,f93]) ).
fof(f8612,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ29_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f8417,f91]) ).
fof(f8613,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ29_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f8417,f89]) ).
fof(f8614,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ29_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f8417,f95]) ).
fof(f8615,plain,
( ~ sQ5_spl
| ~ sQ93_spl
| ~ sQ52_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f8354,f2387]) ).
fof(f8622,plain,
( ~ sQ93_spl
| ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f7914,f8354]) ).
fof(f8623,plain,
( ~ sQ93_spl
| ~ sQ29_spl
| ~ sQ70_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1359,f8417]) ).
fof(f8627,plain,
( ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f119,f2386]) ).
fof(f8628,plain,
( ~ sQ55_spl
| ~ sQ5_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f119,f1033]) ).
fof(f8629,plain,
( ~ sQ5_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f119,f2385]) ).
fof(f8630,plain,
( ~ sQ14_spl
| ~ sQ5_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f119,f530]) ).
fof(f8631,plain,
( ~ sQ70_spl
| ~ sQ5_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f119,f1356]) ).
fof(f8632,plain,
( ~ sQ5_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f119,f2384]) ).
fof(f8633,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f119,f93]) ).
fof(f8634,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f119,f91]) ).
fof(f8635,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f119,f89]) ).
fof(f8636,plain,
! [X0] :
( ~ sQ5_spl
| product(e_1,X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f119,f95]) ).
fof(f8637,plain,
( ~ sQ55_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8628,f73]) ).
fof(f8638,plain,
( ~ sQ55_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f8637]) ).
fof(f8650,plain,
( ~ sQ69_spl
| ~ sQ52_spl
| ~ sQ93_spl
| ~ sQ8_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f7918,f1380]) ).
fof(f8655,plain,
( ~ sQ69_spl
| ~ sQ52_spl
| ~ sQ93_spl
| ~ sQ8_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f8650,f455,f127,f418,f278,f336]) ).
fof(f8656,plain,
( ~ sQ37_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7597,f83]) ).
fof(f8657,plain,
( ~ sQ37_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f8656]) ).
fof(f8681,plain,
( ~ sQ52_spl
| ~ sQ93_spl
| ~ sQ8_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f8351,f7918]) ).
fof(f8683,plain,
( ~ sQ52_spl
| ~ sQ93_spl
| ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f8349,f7918]) ).
fof(f8684,plain,
( ~ sQ93_spl
| ~ sQ29_spl
| ~ sQ74_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f1287,f8417]) ).
fof(f8688,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ114_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f7869,f2183]) ).
fof(f8724,plain,
( ~ sQ66_spl
| ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ87_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f8394,f1404]) ).
fof(f8729,plain,
( ~ sQ18_spl
| ~ sQ13_spl
| ~ sQ56_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f4875,f701]) ).
fof(f8738,plain,
( ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4017,f7025]) ).
fof(f8739,plain,
( ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4016,f7025]) ).
fof(f8741,plain,
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f8534,f8394]) ).
fof(f8742,plain,
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f8533,f8394]) ).
fof(f8743,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4978,f4875]) ).
fof(f8745,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4976,f4875]) ).
fof(f8746,plain,
( ~ sQ123_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f520,f6838]) ).
fof(f8747,plain,
( ~ sQ123_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f520,f6837]) ).
fof(f8748,plain,
( ~ sQ105_spl
| ~ sQ123_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f520,f2558]) ).
fof(f8749,plain,
( ~ sQ13_spl
| ~ sQ123_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f520,f536]) ).
fof(f8750,plain,
( ~ sQ123_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f520,f6836]) ).
fof(f8756,plain,
( ~ sQ105_spl
| ~ sQ123_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f8748,f248,f519,f462]) ).
fof(f8757,plain,
( ~ sQ13_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8749,f85]) ).
fof(f8758,plain,
( ~ sQ13_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f8757]) ).
fof(f8759,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ78_spl
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f6719,f1209]) ).
fof(f8761,plain,
( ~ sQ83_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8556,f77]) ).
fof(f8762,plain,
( ~ sQ83_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f8761]) ).
fof(f8794,plain,
( ~ sQ121_spl
| ~ sQ100_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f447,f2781]) ).
fof(f8796,plain,
( ~ sQ90_spl
| ~ sQ100_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f447,f1789]) ).
fof(f8797,plain,
( ~ sQ100_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f447,f2561]) ).
fof(f8802,plain,
( ~ sQ121_spl
| ~ sQ100_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f8794,f421,f446,f513]) ).
fof(f8803,plain,
( ~ sQ90_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8796,f84]) ).
fof(f8804,plain,
( ~ sQ90_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f8803]) ).
fof(f8805,plain,
! [X0] :
( ~ sQ114_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_2)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f376,f2183]) ).
fof(f8826,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ29_spl
| ~ sQ74_spl
| ~ greater(e_4,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f8684,f61]) ).
fof(f8827,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ29_spl
| ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f8684,f93]) ).
fof(f8828,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ29_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f8684,f91]) ).
fof(f8829,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ29_spl
| ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f8684,f89]) ).
fof(f8830,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ29_spl
| ~ sQ74_spl
| product(e_4,X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f8684,f95]) ).
fof(f8831,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ29_spl
| ~ sQ70_spl
| ~ greater(e_4,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f8623,f61]) ).
fof(f8832,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ29_spl
| ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f8623,f93]) ).
fof(f8833,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ29_spl
| ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f8623,f91]) ).
fof(f8834,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ29_spl
| ~ sQ70_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f8623,f89]) ).
fof(f8835,plain,
! [X0] :
( ~ sQ93_spl
| ~ sQ29_spl
| ~ sQ70_spl
| product(e_4,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f8623,f95]) ).
fof(f8873,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| ~ greater(e_2,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f8071,f61]) ).
fof(f8874,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f8071,f93]) ).
fof(f8875,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f8071,f91]) ).
fof(f8876,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f8071,f89]) ).
fof(f8877,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| product(e_2,X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f8071,f95]) ).
fof(f8882,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4976,f4875]) ).
fof(f8884,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| ~ sQ118_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f2169,f8071]) ).
fof(f8885,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| ~ sQ124_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2088,f8071]) ).
fof(f8886,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8885,f74]) ).
fof(f8887,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f8886]) ).
fof(f8898,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| ~ sQ121_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f2778,f8071]) ).
fof(f8900,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| ~ sQ121_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f2780,f8071]) ).
fof(f8901,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f1416]) ).
fof(f8902,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f1415]) ).
fof(f8903,plain,
( ~ sQ48_spl
| ~ sQ63_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f318,f1170]) ).
fof(f8904,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f1414]) ).
fof(f8909,plain,
( ~ sQ48_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8903,f79]) ).
fof(f8910,plain,
( ~ sQ48_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f8909]) ).
fof(f8923,plain,
( ~ sQ51_spl
| ~ sQ21_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f173,f1061]) ).
fof(f8925,plain,
( ~ sQ36_spl
| ~ sQ21_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f173,f907]) ).
fof(f8931,plain,
( ~ sQ51_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8923,f73]) ).
fof(f8932,plain,
( ~ sQ51_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f8931]) ).
fof(f8943,plain,
( ~ sQ36_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8925,f71]) ).
fof(f8944,plain,
( ~ sQ36_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f8943]) ).
fof(f8955,plain,
( ~ sQ65_spl
| ~ sQ8_spl
| ~ sQ11_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f7694,f1408]) ).
fof(f8956,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ11_spl
| ~ greater(e_3,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f7694,f61]) ).
fof(f8957,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ11_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f7694,f93]) ).
fof(f8958,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ11_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f7694,f91]) ).
fof(f8959,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ11_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f7694,f89]) ).
fof(f8960,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ11_spl
| product(e_3,X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f7694,f95]) ).
fof(f8961,plain,
( ~ sQ65_spl
| ~ sQ8_spl
| ~ sQ11_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f8955,f245,f137,f127,f324]) ).
fof(f8992,plain,
( ~ sQ86_spl
| ~ sQ87_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f400,f1818]) ).
fof(f8993,plain,
( ~ sQ87_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f400,f1811]) ).
fof(f8994,plain,
( ~ sQ30_spl
| ~ sQ87_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f400,f949]) ).
fof(f8995,plain,
( ~ sQ87_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f400,f1810]) ).
fof(f8996,plain,
( ~ sQ87_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f400,f1809]) ).
fof(f9001,plain,
( ~ sQ86_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8992,f76]) ).
fof(f9002,plain,
( ~ sQ86_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f9001]) ).
fof(f9039,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f8956,f54]) ).
fof(f9040,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f8956,f51]) ).
fof(f9041,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f8959,f7694]) ).
fof(f9042,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f8958,f7694]) ).
fof(f9043,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f8957,f7694]) ).
fof(f9044,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ66_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f1404,f7694]) ).
fof(f9045,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ42_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f785,f7694]) ).
fof(f9046,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9045,f79]) ).
fof(f9047,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f9046]) ).
fof(f9089,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f5516,f93]) ).
fof(f9090,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f5516,f91]) ).
fof(f9091,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_3)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f5516,f89]) ).
fof(f9092,plain,
! [X0] :
( ~ sQ99_spl
| product(e_3,X0,e_5)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f5516,f95]) ).
fof(f9093,plain,
( ~ sQ99_spl
| ~ sQ110_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f2789,f5516]) ).
fof(f9094,plain,
( ~ sQ99_spl
| ~ sQ110_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f9093,f405,f478,f437]) ).
fof(f9125,plain,
( ~ sQ66_spl
| ~ sQ8_spl
| ~ sQ11_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f7694,f1404]) ).
fof(f9133,plain,
( ~ sQ90_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f410,f1791]) ).
fof(f9134,plain,
( ~ sQ28_spl
| ~ sQ90_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f410,f628]) ).
fof(f9135,plain,
( ~ sQ90_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f410,f1790]) ).
fof(f9141,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f8959,f7694]) ).
fof(f9142,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f8958,f7694]) ).
fof(f9143,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f8957,f7694]) ).
fof(f9144,plain,
( ~ sQ90_spl
| ~ sQ20_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f686,f410]) ).
fof(f9145,plain,
( ~ sQ90_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9144,f84]) ).
fof(f9146,plain,
( ~ sQ90_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f9145]) ).
fof(f9167,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ93_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f8143,f93]) ).
fof(f9168,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ93_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f8143,f91]) ).
fof(f9169,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f8143,f89]) ).
fof(f9170,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ93_spl
| product(e_2,X0,e_5)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f8143,f95]) ).
fof(f9192,plain,
( ~ sQ93_spl
| ~ sQ29_spl
| ~ sQ74_spl
| ~ next(e_5,e_3) ),
inference(resolution,[status(thm)],[f8826,f57]) ).
fof(f9193,plain,
( ~ sQ93_spl
| ~ sQ29_spl
| ~ sQ74_spl
| ~ next(e_5,e_2) ),
inference(resolution,[status(thm)],[f8826,f55]) ).
fof(f9194,plain,
( ~ sQ93_spl
| ~ sQ29_spl
| ~ sQ74_spl
| ~ next(e_5,e_1) ),
inference(resolution,[status(thm)],[f8826,f52]) ).
fof(f9195,plain,
( ~ sQ93_spl
| ~ sQ29_spl
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f8610,f50]) ).
fof(f9199,plain,
( ~ sQ93_spl
| ~ sQ29_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f8611,f8417]) ).
fof(f9200,plain,
( ~ sQ93_spl
| ~ sQ29_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f8612,f8417]) ).
fof(f9202,plain,
( ~ sQ54_spl
| ~ sQ93_spl
| ~ sQ115_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f2785,f8143]) ).
fof(f9208,plain,
( ~ sQ23_spl
| ~ sQ16_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f755,f327,f156,f178]) ).
fof(f9259,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ55_spl
| ~ greater(e_3,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f5097,f61]) ).
fof(f9260,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f5097,f93]) ).
fof(f9261,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f5097,f91]) ).
fof(f9262,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f5097,f89]) ).
fof(f9263,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ55_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f5097,f95]) ).
fof(f9264,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ90_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f9134,f93]) ).
fof(f9265,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ90_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f9134,f91]) ).
fof(f9266,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f9134,f89]) ).
fof(f9267,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ90_spl
| product(e_2,X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f9134,f95]) ).
fof(f9268,plain,
( ~ sQ28_spl
| ~ sQ90_spl
| ~ sQ73_spl
| product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f1293,f9134]) ).
fof(f9269,plain,
( ~ sQ28_spl
| ~ sQ90_spl
| ~ sQ73_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f9268,f386,f349,f409,f194]) ).
fof(f9270,plain,
( ~ sQ70_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8631,f77]) ).
fof(f9271,plain,
( ~ sQ70_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f9270]) ).
fof(f9313,plain,
( ~ sQ93_spl
| ~ sQ52_spl
| ~ sQ7_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f575,f8354]) ).
fof(f9314,plain,
( ~ sQ93_spl
| ~ sQ52_spl
| ~ sQ7_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f9313,f431,f124,f278,f418]) ).
fof(f9349,plain,
( ~ sQ54_spl
| ~ sQ93_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f419,f1042]) ).
fof(f9351,plain,
( ~ sQ93_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f419,f1686]) ).
fof(f9356,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f198,f618]) ).
fof(f9358,plain,
( ~ sQ29_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f198,f617]) ).
fof(f9360,plain,
( ~ sQ14_spl
| ~ sQ29_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f198,f527]) ).
fof(f9361,plain,
( ~ sQ29_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f198,f616]) ).
fof(f9405,plain,
( ~ sQ28_spl
| ~ sQ90_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f9265,f9134]) ).
fof(f9406,plain,
( ~ sQ28_spl
| ~ sQ90_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f9264,f9134]) ).
fof(f9407,plain,
( ~ sQ28_spl
| ~ sQ90_spl
| ~ sQ71_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f1303,f9134]) ).
fof(f9408,plain,
( ~ sQ28_spl
| ~ sQ90_spl
| ~ sQ71_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f9407,f418,f343,f409,f194]) ).
fof(f9438,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ93_spl
| ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f8615,f93]) ).
fof(f9439,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ93_spl
| ~ sQ52_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f8615,f91]) ).
fof(f9440,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ93_spl
| ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f8615,f89]) ).
fof(f9441,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ93_spl
| ~ sQ52_spl
| product(e_3,X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f8615,f95]) ).
fof(f9446,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f8389,f93]) ).
fof(f9447,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f8389,f91]) ).
fof(f9448,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f8389,f89]) ).
fof(f9449,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| product(e_3,X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f8389,f95]) ).
fof(f9455,plain,
( ~ sQ69_spl
| ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ87_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f8394,f1380]) ).
fof(f9463,plain,
( ~ sQ5_spl
| ~ sQ93_spl
| ~ sQ52_spl
| ~ sQ33_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f935,f8615]) ).
fof(f9467,plain,
( ~ sQ93_spl
| ~ sQ52_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f7915,f8354]) ).
fof(f9468,plain,
( ~ sQ93_spl
| ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f7914,f8354]) ).
fof(f9469,plain,
( ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f8392,f8251]) ).
fof(f9470,plain,
( ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f8391,f8251]) ).
fof(f9471,plain,
( ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f8390,f8251]) ).
fof(f9472,plain,
( ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| ~ sQ52_spl
| ~ sQ93_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f7917,f8251]) ).
fof(f9473,plain,
( ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4015,f7025]) ).
fof(f9474,plain,
( ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f4017,f7025]) ).
fof(f9475,plain,
( ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4016,f7025]) ).
fof(f9477,plain,
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f8534,f8394]) ).
fof(f9478,plain,
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ87_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f8533,f8394]) ).
fof(f9479,plain,
( ~ sQ93_spl
| ~ sQ52_spl
| ~ sQ39_spl
| ~ sQ87_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f4018,f8354]) ).
fof(f9481,plain,
( ~ sQ5_spl
| ~ sQ93_spl
| ~ sQ52_spl
| ~ sQ87_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f1809,f8615]) ).
fof(f9482,plain,
( ~ sQ5_spl
| ~ sQ93_spl
| ~ sQ52_spl
| ~ sQ87_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1810,f8615]) ).
fof(f9483,plain,
( ~ sQ5_spl
| ~ sQ93_spl
| ~ sQ52_spl
| ~ sQ87_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1811,f8615]) ).
fof(f9484,plain,
( ~ sQ96_spl
| ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1055,f8389]) ).
fof(f9485,plain,
( ~ sQ96_spl
| ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| ~ sQ52_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1053,f8389]) ).
fof(f9486,plain,
( ~ sQ96_spl
| ~ sQ122_spl
| ~ sQ39_spl
| ~ sQ46_spl
| ~ sQ52_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1054,f8389]) ).
fof(f9487,plain,
( ~ sQ69_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f337,f1379]) ).
fof(f9488,plain,
( ~ sQ80_spl
| ~ sQ69_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f337,f1924]) ).
fof(f9489,plain,
( ~ sQ69_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f337,f1378]) ).
fof(f9490,plain,
( ~ sQ69_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f337,f1377]) ).
fof(f9495,plain,
( ~ sQ39_spl
| ~ sQ87_spl
| ~ sQ20_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f685,f7025]) ).
fof(f9496,plain,
( ~ sQ39_spl
| ~ sQ87_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9495,f76]) ).
fof(f9497,plain,
( ~ sQ39_spl
| ~ sQ87_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f9496]) ).
fof(f9498,plain,
( ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f144,f538]) ).
fof(f9500,plain,
( ~ sQ13_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f144,f537]) ).
fof(f9514,plain,
( ~ sQ80_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f378,f1923]) ).
fof(f9515,plain,
( ~ sQ80_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f378,f1922]) ).
fof(f9517,plain,
( ~ sQ80_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f378,f1921]) ).
fof(f9522,plain,
( ~ sQ105_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f463,f2557]) ).
fof(f9523,plain,
( ~ sQ105_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f463,f2556]) ).
fof(f9524,plain,
( ~ sQ122_spl
| ~ sQ105_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f463,f2100]) ).
fof(f9525,plain,
( ~ sQ105_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f463,f2555]) ).
fof(f9530,plain,
( ~ sQ93_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f419,f1688]) ).
fof(f9531,plain,
( ~ sQ93_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f419,f1687]) ).
fof(f9538,plain,
( ~ sQ46_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f260,f4613]) ).
fof(f9539,plain,
( ~ sQ46_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f260,f4612]) ).
fof(f9540,plain,
( ~ sQ39_spl
| ~ sQ46_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f260,f874]) ).
fof(f9541,plain,
( ~ sQ46_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f260,f4611]) ).
fof(f9546,plain,
( ~ sQ39_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f233,f873]) ).
fof(f9547,plain,
( ~ sQ39_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f233,f872]) ).
fof(f9549,plain,
( ~ sQ39_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f233,f871]) ).
fof(f9554,plain,
( ~ sQ15_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f154,f767]) ).
fof(f9555,plain,
( ~ sQ15_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f154,f766]) ).
fof(f9556,plain,
( ~ sQ29_spl
| ~ sQ15_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f154,f619]) ).
fof(f9557,plain,
( ~ sQ15_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f154,f765]) ).
fof(f9562,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f2310]) ).
fof(f9563,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f2309]) ).
fof(f9564,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f2308]) ).
fof(f9569,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f198,f618]) ).
fof(f9570,plain,
( ~ sQ29_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f198,f617]) ).
fof(f9572,plain,
( ~ sQ29_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f198,f616]) ).
fof(f9578,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f1416]) ).
fof(f9579,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f1415]) ).
fof(f9580,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f1414]) ).
fof(f9585,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f867]) ).
fof(f9586,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f866]) ).
fof(f9587,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f865]) ).
fof(f9593,plain,
( ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f214,f934]) ).
fof(f9594,plain,
( ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f214,f933]) ).
fof(f9595,plain,
( ~ sQ46_spl
| ~ sQ33_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f214,f4614]) ).
fof(f9596,plain,
( ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f214,f932]) ).
fof(f9601,plain,
( ~ sQ118_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f504,f2168]) ).
fof(f9602,plain,
( ~ sQ118_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f504,f2167]) ).
fof(f9603,plain,
( ~ sQ105_spl
| ~ sQ118_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f504,f2558]) ).
fof(f9604,plain,
( ~ sQ118_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f504,f2166]) ).
fof(f9609,plain,
( ~ sQ122_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f517,f2099]) ).
fof(f9610,plain,
( ~ sQ122_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f517,f2098]) ).
fof(f9611,plain,
( ~ sQ111_spl
| ~ sQ122_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f517,f2610]) ).
fof(f9612,plain,
( ~ sQ122_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f517,f2097]) ).
fof(f9618,plain,
( ~ sQ111_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f482,f2609]) ).
fof(f9619,plain,
( ~ sQ111_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f482,f2608]) ).
fof(f9620,plain,
( ~ sQ118_spl
| ~ sQ111_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f482,f2169]) ).
fof(f9621,plain,
( ~ sQ111_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f482,f2607]) ).
fof(f9626,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f679]) ).
fof(f9627,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f678]) ).
fof(f9628,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f677]) ).
fof(f9633,plain,
( ~ sQ13_spl
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f535,f57]) ).
fof(f9634,plain,
( ~ sQ13_spl
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f535,f55]) ).
fof(f9635,plain,
( ~ sQ13_spl
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f535,f52]) ).
fof(f9636,plain,
( ~ sQ29_spl
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f615,f59]) ).
fof(f9637,plain,
( ~ sQ29_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f615,f58]) ).
fof(f9638,plain,
( ~ sQ29_spl
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f615,f56]) ).
fof(f9639,plain,
( ~ sQ29_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f615,f53]) ).
fof(f9640,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9637,f47]) ).
fof(f9641,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f9640]) ).
fof(f9643,plain,
( ~ sQ118_spl
| ~ sQ111_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f9620,f336,f481,f503]) ).
fof(f9645,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ97_spl
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1075,f1666]) ).
fof(f9701,plain,
( ~ sQ28_spl
| ~ sQ90_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f9265,f9134]) ).
fof(f9702,plain,
( ~ sQ28_spl
| ~ sQ90_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f9264,f9134]) ).
fof(f9703,plain,
( ~ sQ28_spl
| ~ sQ90_spl
| ~ sQ74_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f1287,f9134]) ).
fof(f9704,plain,
( ~ sQ97_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f432,f1665]) ).
fof(f9705,plain,
( ~ sQ0_spl
| ~ sQ97_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f432,f2379]) ).
fof(f9706,plain,
( ~ sQ1_spl
| ~ sQ97_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f432,f2397]) ).
fof(f9707,plain,
( ~ sQ97_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f432,f1664]) ).
fof(f9708,plain,
( ~ sQ3_spl
| ~ sQ97_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f432,f2300]) ).
fof(f9709,plain,
( ~ sQ87_spl
| ~ sQ97_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f432,f1809]) ).
fof(f9710,plain,
( ~ sQ97_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f432,f1663]) ).
fof(f9711,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f432,f93]) ).
fof(f9712,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f432,f91]) ).
fof(f9713,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f432,f89]) ).
fof(f9714,plain,
! [X0] :
( ~ sQ97_spl
| product(e_3,X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f432,f95]) ).
fof(f9715,plain,
( ~ sQ1_spl
| ~ sQ97_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f9706,f415,f431,f105]) ).
fof(f9716,plain,
( ~ sQ3_spl
| ~ sQ97_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f9708,f383,f431,f111]) ).
fof(f9717,plain,
( ~ sQ87_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9709,f75]) ).
fof(f9718,plain,
( ~ sQ87_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f9717]) ).
fof(f9760,plain,
( ~ sQ90_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f410,f1791]) ).
fof(f9761,plain,
( ~ sQ27_spl
| ~ sQ90_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f410,f635]) ).
fof(f9762,plain,
( ~ sQ90_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f410,f1790]) ).
fof(f9768,plain,
( ~ sQ54_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f285,f1041]) ).
fof(f9769,plain,
( ~ sQ19_spl
| ~ sQ54_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f285,f693]) ).
fof(f9770,plain,
( ~ sQ54_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f285,f1040]) ).
fof(f9771,plain,
( ~ sQ90_spl
| ~ sQ54_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f285,f1792]) ).
fof(f9772,plain,
( ~ sQ54_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f285,f1039]) ).
fof(f9777,plain,
( ~ sQ19_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9769,f81]) ).
fof(f9778,plain,
( ~ sQ19_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f9777]) ).
fof(f9820,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ54_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f9771,f93]) ).
fof(f9821,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ54_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f9771,f91]) ).
fof(f9822,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ54_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f9771,f89]) ).
fof(f9823,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ54_spl
| product(e_2,X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f9771,f95]) ).
fof(f9824,plain,
( ~ sQ121_spl
| ~ sQ9_spl
| ~ sQ11_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f7692,f2780]) ).
fof(f9825,plain,
( ~ sQ110_spl
| ~ sQ9_spl
| ~ sQ11_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f7692,f2789]) ).
fof(f9826,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ11_spl
| ~ greater(e_3,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f7692,f61]) ).
fof(f9827,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ11_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f7692,f93]) ).
fof(f9828,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ11_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f7692,f91]) ).
fof(f9829,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ11_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f7692,f89]) ).
fof(f9830,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ11_spl
| product(e_3,X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f7692,f95]) ).
fof(f9831,plain,
( ~ sQ121_spl
| ~ sQ9_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9824,f76]) ).
fof(f9832,plain,
( ~ sQ121_spl
| ~ sQ9_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f9831]) ).
fof(f9874,plain,
( ~ sQ70_spl
| ~ sQ28_spl
| ~ sQ90_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f9134,f1359]) ).
fof(f9879,plain,
( ~ sQ70_spl
| ~ sQ28_spl
| ~ sQ90_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f9874,f402,f409,f194,f340]) ).
fof(f9898,plain,
( ~ sQ28_spl
| ~ sQ90_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f9265,f9134]) ).
fof(f9899,plain,
( ~ sQ28_spl
| ~ sQ90_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f9264,f9134]) ).
fof(f9900,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f8957,f7694]) ).
fof(f9901,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f8958,f7694]) ).
fof(f9902,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f8959,f7694]) ).
fof(f9903,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ67_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1400,f7694]) ).
fof(f9904,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ67_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f9903,f143,f330,f137,f127]) ).
fof(f9905,plain,
! [X0] :
( ~ sQ109_spl
| product(e_5,X0,e_5)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f376,f2282]) ).
fof(f9947,plain,
( ~ sQ28_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f195,f627]) ).
fof(f9948,plain,
( ~ sQ23_spl
| ~ sQ28_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f195,f667]) ).
fof(f9949,plain,
( ~ sQ50_spl
| ~ sQ28_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f195,f1069]) ).
fof(f9950,plain,
( ~ sQ28_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f195,f626]) ).
fof(f9951,plain,
( ~ sQ78_spl
| ~ sQ28_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f195,f1206]) ).
fof(f9952,plain,
( ~ sQ28_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f195,f625]) ).
fof(f9958,plain,
( ~ sQ23_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f9948,f67]) ).
fof(f9959,plain,
( ~ sQ23_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f9958]) ).
fof(f9960,plain,
( ~ sQ50_spl
| ~ sQ28_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f9949,f239,f194,f272]) ).
fof(f9961,plain,
( ~ sQ68_spl
| ~ sQ82_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f8223,f386,f383,f333]) ).
fof(f10005,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| ~ next(e_5,e_1) ),
inference(resolution,[status(thm)],[f8873,f50]) ).
fof(f10006,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f4978,f4875]) ).
fof(f10008,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| ~ sQ118_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f2169,f8071]) ).
fof(f10009,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f4976,f4875]) ).
fof(f10010,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f8876,f8071]) ).
fof(f10012,plain,
( ~ sQ13_spl
| ~ sQ56_spl
| ~ sQ19_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f8874,f8071]) ).
fof(f10013,plain,
( ~ sQ19_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f166,f694]) ).
fof(f10014,plain,
( ~ sQ93_spl
| ~ sQ19_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f166,f1689]) ).
fof(f10015,plain,
( ~ sQ19_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f166,f693]) ).
fof(f10016,plain,
( ~ sQ19_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f166,f692]) ).
fof(f10021,plain,
( ~ sQ50_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f273,f1068]) ).
fof(f10022,plain,
( ~ sQ50_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f273,f1067]) ).
fof(f10024,plain,
( ~ sQ50_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f273,f1066]) ).
fof(f10029,plain,
( ~ sQ79_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f369,f1203]) ).
fof(f10030,plain,
( ~ sQ79_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f369,f1202]) ).
fof(f10031,plain,
( ~ sQ82_spl
| ~ sQ79_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f369,f1910]) ).
fof(f10032,plain,
( ~ sQ79_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f369,f1201]) ).
fof(f10040,plain,
( ~ sQ50_spl
| ~ sQ93_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f419,f1069]) ).
fof(f10046,plain,
( ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f144,f538]) ).
fof(f10049,plain,
( ~ sQ13_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f144,f536]) ).
fof(f10055,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f2291]) ).
fof(f10056,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f2290]) ).
fof(f10057,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f459,f2289]) ).
fof(f10062,plain,
( ~ sQ70_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f341,f1358]) ).
fof(f10063,plain,
( ~ sQ70_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f341,f1357]) ).
fof(f10064,plain,
( ~ sQ79_spl
| ~ sQ70_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f341,f1204]) ).
fof(f10065,plain,
( ~ sQ70_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f341,f1356]) ).
fof(f10070,plain,
( ~ sQ56_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f292,f1027]) ).
fof(f10071,plain,
( ~ sQ56_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f292,f1026]) ).
fof(f10072,plain,
( ~ sQ9_spl
| ~ sQ56_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f292,f567]) ).
fof(f10073,plain,
( ~ sQ56_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f292,f1025]) ).
fof(f10078,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f2310]) ).
fof(f10079,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f2309]) ).
fof(f10080,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f109,f2308]) ).
fof(f10085,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f1416]) ).
fof(f10086,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f1415]) ).
fof(f10087,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f318,f1414]) ).
fof(f10092,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f867]) ).
fof(f10093,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f866]) ).
fof(f10094,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f865]) ).
fof(f10100,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f679]) ).
fof(f10101,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f678]) ).
fof(f10102,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f173,f677]) ).
fof(f10107,plain,
( ~ sQ86_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f397,f1818]) ).
fof(f10108,plain,
( ~ sQ86_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f397,f1817]) ).
fof(f10109,plain,
( ~ sQ37_spl
| ~ sQ86_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f397,f882]) ).
fof(f10110,plain,
( ~ sQ86_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f397,f1816]) ).
fof(f10115,plain,
( ~ sQ82_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f384,f1909]) ).
fof(f10116,plain,
( ~ sQ82_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f384,f1908]) ).
fof(f10117,plain,
( ~ sQ66_spl
| ~ sQ82_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f384,f1404]) ).
fof(f10118,plain,
( ~ sQ82_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f384,f1907]) ).
fof(f10123,plain,
( ~ sQ110_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f479,f2788]) ).
fof(f10124,plain,
( ~ sQ110_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f479,f2787]) ).
fof(f10126,plain,
( ~ sQ110_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f479,f2786]) ).
fof(f10131,plain,
( ~ sQ95_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f426,f1680]) ).
fof(f10132,plain,
( ~ sQ95_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f426,f1679]) ).
fof(f10133,plain,
( ~ sQ13_spl
| ~ sQ95_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f426,f539]) ).
fof(f10134,plain,
( ~ sQ95_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f426,f1678]) ).
fof(f10139,plain,
( ~ sQ9_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f131,f566]) ).
fof(f10140,plain,
( ~ sQ9_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f131,f565]) ).
fof(f10141,plain,
( ~ sQ95_spl
| ~ sQ9_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f131,f1681]) ).
fof(f10147,plain,
( ~ sQ118_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f504,f2168]) ).
fof(f10148,plain,
( ~ sQ118_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f504,f2167]) ).
fof(f10149,plain,
( ~ sQ107_spl
| ~ sQ118_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f504,f2617]) ).
fof(f10150,plain,
( ~ sQ118_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f504,f2166]) ).
fof(f10155,plain,
( ~ sQ33_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f214,f934]) ).
fof(f10156,plain,
( ~ sQ33_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f214,f933]) ).
fof(f10157,plain,
( ~ sQ49_spl
| ~ sQ33_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f214,f3691]) ).
fof(f10158,plain,
( ~ sQ33_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f214,f932]) ).
fof(f10163,plain,
( ~ sQ49_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f269,f3690]) ).
fof(f10164,plain,
( ~ sQ49_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f269,f3689]) ).
fof(f10165,plain,
( ~ sQ86_spl
| ~ sQ49_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f269,f1819]) ).
fof(f10166,plain,
( ~ sQ49_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f269,f3688]) ).
fof(f10171,plain,
( ~ sQ66_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f328,f1403]) ).
fof(f10172,plain,
( ~ sQ66_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f328,f1402]) ).
fof(f10173,plain,
( ~ sQ70_spl
| ~ sQ66_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f328,f1359]) ).
fof(f10174,plain,
( ~ sQ66_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f328,f1401]) ).
fof(f10179,plain,
( ~ sQ37_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f227,f881]) ).
fof(f10180,plain,
( ~ sQ37_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f227,f880]) ).
fof(f10181,plain,
( ~ sQ33_spl
| ~ sQ37_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f227,f935]) ).
fof(f10182,plain,
( ~ sQ37_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f227,f879]) ).
fof(f10187,plain,
( ~ sQ107_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f469,f2616]) ).
fof(f10188,plain,
( ~ sQ107_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f469,f2615]) ).
fof(f10189,plain,
( ~ sQ110_spl
| ~ sQ107_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f469,f2789]) ).
fof(f10190,plain,
( ~ sQ107_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f469,f2614]) ).
fof(f10195,plain,
( ~ sQ79_spl
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f1200,f59]) ).
fof(f10196,plain,
( ~ sQ79_spl
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f1200,f58]) ).
fof(f10197,plain,
( ~ sQ79_spl
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f1200,f56]) ).
fof(f10198,plain,
( ~ sQ79_spl
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f1200,f53]) ).
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
| ~ 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
| ~ sQ62_spl
| sQ63_spl
| ~ sQ64_spl
| ~ sQ65_spl
| sQ66_spl
| ~ sQ67_spl
| ~ sQ68_spl
| ~ sQ69_spl
| sQ70_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl
| ~ sQ77_spl
| ~ sQ78_spl
| sQ79_spl
| ~ sQ80_spl
| ~ sQ81_spl
| sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| sQ86_spl
| ~ sQ87_spl
| ~ sQ88_spl
| ~ sQ89_spl
| ~ sQ90_spl
| ~ sQ91_spl
| ~ sQ92_spl
| sQ93_spl
| ~ sQ94_spl
| sQ95_spl
| ~ sQ96_spl
| ~ sQ97_spl
| ~ 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
% 0.00/0.02 % Problem : GRP130-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 19:56:42 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 27.12/3.88 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 27.12/3.88 % SZS output start Saturation for theBenchmark
% See solution above
% 1.06/3.94 % Elapsed time: 3.578667 seconds
% 1.06/3.94 % CPU time: 27.885055 seconds
% 1.06/3.94 % Total memory used: 52.459 MB
% 1.06/3.94 % Net memory used: 48.033 MB
%------------------------------------------------------------------------------