%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP131-1.005 : 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 : n010.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 12:36:00 PM UTC 2026
% Result : Satisfiable 15.77s 48.38s
% Output : Saturation 15.85s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] :
( product(X,Y,e_5)
| product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( equalish(X1,X2)
| ~ product(Z2,Y2,X2)
| ~ product(Z2,Y1,X1)
| ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( equalish(Y1,Y2)
| ~ product(Z2,Y2,X2)
| ~ product(Z2,Y1,X1)
| ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f34,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f35,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f36,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f37,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f38,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f39,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f40,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f41,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f42,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f43,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f44,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f45,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f46,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f47,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f48,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f49,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f50,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f51,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f52,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f53,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f54,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f55,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f56,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f57,plain,
! [X0,X1] :
( product(X0,X1,e_5)
| product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f58,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f60,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f61,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
! [X1,X2] :
( equalish(X1,X2)
| ! [Y2,Z2] :
( ~ product(Z2,Y2,X2)
| ! [Y1] :
( ~ product(Z2,Y1,X1)
| ! [Z1] :
( ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ) ) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4,X5] :
( equalish(X0,X3)
| ~ product(X5,X4,X3)
| ~ product(X5,X1,X0)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f66,plain,
! [Y1,Y2] :
( equalish(Y1,Y2)
| ! [X2,Z2] :
( ~ product(Z2,Y2,X2)
| ! [X1] :
( ~ product(Z2,Y1,X1)
| ! [Z1] :
( ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ) ) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f67,plain,
! [X0,X1,X2,X3,X4,X5] :
( equalish(X1,X4)
| ~ product(X5,X4,X3)
| ~ product(X5,X1,X0)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,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)],[f57,f36]) ).
fof(f69,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)],[f57,f35]) ).
fof(f70,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)],[f57,f34]) ).
fof(f71,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)],[f57,f33]) ).
fof(f72,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)],[f57,f32]) ).
fof(f73,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)],[f68,f36]) ).
fof(f74,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)],[f68,f35]) ).
fof(f75,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)],[f68,f34]) ).
fof(f76,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)],[f68,f33]) ).
fof(f77,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)],[f68,f32]) ).
fof(f78,definition,
( sQ0_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f79,plain,
( ~ sQ0_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f80,plain,
( sQ0_spl
| ~ product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,definition,
( sQ1_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( ~ sQ1_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f83,plain,
( sQ1_spl
| ~ product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,definition,
( sQ2_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f85,plain,
( ~ sQ2_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f86,plain,
( sQ2_spl
| ~ product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,definition,
( sQ3_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f88,plain,
( ~ sQ3_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f89,plain,
( sQ3_spl
| ~ product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f90,definition,
( sQ4_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f91,plain,
( ~ sQ4_spl
| product(e_5,e_5,e_5) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f92,plain,
( sQ4_spl
| ~ product(e_5,e_5,e_5) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f73,f78,f81,f84,f87,f90]) ).
fof(f94,definition,
( sQ5_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f95,plain,
( ~ sQ5_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f96,plain,
( sQ5_spl
| ~ product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f97,definition,
( sQ6_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f98,plain,
( ~ sQ6_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f99,plain,
( sQ6_spl
| ~ product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,definition,
( sQ7_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f101,plain,
( ~ sQ7_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f102,plain,
( sQ7_spl
| ~ product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f103,definition,
( sQ8_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( ~ sQ8_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f105,plain,
( sQ8_spl
| ~ product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,definition,
( sQ9_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( ~ sQ9_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f108,plain,
( sQ9_spl
| ~ product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f74,f94,f97,f100,f103,f106]) ).
fof(f110,definition,
( sQ10_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( ~ sQ10_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f112,plain,
( sQ10_spl
| ~ product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,definition,
( sQ11_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ11_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f115,plain,
( sQ11_spl
| ~ product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,definition,
( sQ12_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( ~ sQ12_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f118,plain,
( sQ12_spl
| ~ product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,definition,
( sQ13_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( ~ sQ13_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f121,plain,
( sQ13_spl
| ~ product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,definition,
( sQ14_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f123,plain,
( ~ sQ14_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f124,plain,
( sQ14_spl
| ~ product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f75,f110,f113,f116,f119,f122]) ).
fof(f126,definition,
( sQ15_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f127,plain,
( ~ sQ15_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f128,plain,
( sQ15_spl
| ~ product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,definition,
( sQ16_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ16_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f131,plain,
( sQ16_spl
| ~ product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,definition,
( sQ17_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( ~ sQ17_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f134,plain,
( sQ17_spl
| ~ product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,definition,
( sQ18_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ18_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f137,plain,
( sQ18_spl
| ~ product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,definition,
( sQ19_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( ~ sQ19_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f140,plain,
( sQ19_spl
| ~ product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f76,f126,f129,f132,f135,f138]) ).
fof(f142,definition,
( sQ20_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( ~ sQ20_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f144,plain,
( sQ20_spl
| ~ product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,definition,
( sQ21_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ21_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f147,plain,
( sQ21_spl
| ~ product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,definition,
( sQ22_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( ~ sQ22_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f150,plain,
( sQ22_spl
| ~ product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,definition,
( sQ23_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( ~ sQ23_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f153,plain,
( sQ23_spl
| ~ product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,definition,
( sQ24_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f155,plain,
( ~ sQ24_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f156,plain,
( sQ24_spl
| ~ product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f77,f142,f145,f148,f151,f154]) ).
fof(f158,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)],[f69,f36]) ).
fof(f159,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)],[f69,f35]) ).
fof(f160,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)],[f69,f34]) ).
fof(f161,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)],[f69,f33]) ).
fof(f162,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)],[f69,f32]) ).
fof(f163,definition,
( sQ25_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( ~ sQ25_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f165,plain,
( sQ25_spl
| ~ product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,definition,
( sQ26_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ26_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f168,plain,
( sQ26_spl
| ~ product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,definition,
( sQ27_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ27_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( sQ27_spl
| ~ product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,definition,
( sQ28_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ28_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f174,plain,
( sQ28_spl
| ~ product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,definition,
( sQ29_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ29_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f177,plain,
( sQ29_spl
| ~ product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f158,f163,f166,f169,f172,f175]) ).
fof(f179,definition,
( sQ30_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ30_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f181,plain,
( sQ30_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,definition,
( sQ31_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ31_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f184,plain,
( sQ31_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,definition,
( sQ32_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ32_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f187,plain,
( sQ32_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,definition,
( sQ33_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ33_spl
| product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,definition,
( sQ34_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ34_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f193,plain,
( sQ34_spl
| ~ product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f159,f179,f182,f185,f188,f191]) ).
fof(f195,definition,
( sQ35_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( ~ sQ35_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f197,plain,
( sQ35_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,definition,
( sQ36_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ36_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f200,plain,
( sQ36_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,definition,
( sQ37_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ37_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f203,plain,
( sQ37_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,definition,
( sQ38_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ38_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f206,plain,
( sQ38_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,definition,
( sQ39_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ39_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f209,plain,
( sQ39_spl
| ~ product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f160,f195,f198,f201,f204,f207]) ).
fof(f211,definition,
( sQ40_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ40_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f213,plain,
( sQ40_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
( sQ41_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ41_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f216,plain,
( sQ41_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,definition,
( sQ42_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ42_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f219,plain,
( sQ42_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f220,definition,
( sQ43_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( ~ sQ43_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f222,plain,
( sQ43_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,definition,
( sQ44_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f224,plain,
( ~ sQ44_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f225,plain,
( sQ44_spl
| ~ product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f161,f211,f214,f217,f220,f223]) ).
fof(f227,definition,
( sQ45_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ45_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f229,plain,
( sQ45_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ46_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ46_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f232,plain,
( sQ46_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,definition,
( sQ47_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f234,plain,
( ~ sQ47_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f235,plain,
( sQ47_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,definition,
( sQ48_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f237,plain,
( ~ sQ48_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f238,plain,
( sQ48_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,definition,
( sQ49_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( ~ sQ49_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f241,plain,
( sQ49_spl
| ~ product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f162,f227,f230,f233,f236,f239]) ).
fof(f243,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)],[f70,f36]) ).
fof(f244,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)],[f70,f35]) ).
fof(f245,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)],[f70,f34]) ).
fof(f246,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)],[f70,f33]) ).
fof(f247,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)],[f70,f32]) ).
fof(f248,definition,
( sQ50_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ50_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f250,plain,
( sQ50_spl
| ~ product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,definition,
( sQ51_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( ~ sQ51_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f253,plain,
( sQ51_spl
| ~ product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,definition,
( sQ52_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ52_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( sQ52_spl
| ~ product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,definition,
( sQ53_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ53_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( sQ53_spl
| ~ product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
( sQ54_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ54_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f262,plain,
( sQ54_spl
| ~ product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f243,f248,f251,f254,f257,f260]) ).
fof(f264,definition,
( sQ55_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ55_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f266,plain,
( sQ55_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,definition,
( sQ56_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( ~ sQ56_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f269,plain,
( sQ56_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,definition,
( sQ57_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ57_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f272,plain,
( sQ57_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,definition,
( sQ58_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ58_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f275,plain,
( sQ58_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ59_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ59_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f278,plain,
( sQ59_spl
| ~ product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f244,f264,f267,f270,f273,f276]) ).
fof(f280,definition,
( sQ60_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ60_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f282,plain,
( sQ60_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,definition,
( sQ61_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ61_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f285,plain,
( sQ61_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,definition,
( sQ62_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ62_spl
| product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f288,plain,
( sQ62_spl
| ~ product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,definition,
( sQ63_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ63_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f291,plain,
( sQ63_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,definition,
( sQ64_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ64_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f294,plain,
( sQ64_spl
| ~ product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f245,f280,f283,f286,f289,f292]) ).
fof(f296,definition,
( sQ65_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( ~ sQ65_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f298,plain,
( sQ65_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,definition,
( sQ66_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( ~ sQ66_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f301,plain,
( sQ66_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,definition,
( sQ67_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ67_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( sQ67_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f305,definition,
( sQ68_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ68_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f307,plain,
( sQ68_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,definition,
( sQ69_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ69_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sQ69_spl
| ~ product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f246,f296,f299,f302,f305,f308]) ).
fof(f312,definition,
( sQ70_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( ~ sQ70_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f314,plain,
( sQ70_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,definition,
( sQ71_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ71_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f317,plain,
( sQ71_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,definition,
( sQ72_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ72_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f320,plain,
( sQ72_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,definition,
( sQ73_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ73_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f323,plain,
( sQ73_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,definition,
( sQ74_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ74_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f326,plain,
( sQ74_spl
| ~ product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f247,f312,f315,f318,f321,f324]) ).
fof(f328,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)],[f71,f36]) ).
fof(f329,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)],[f71,f35]) ).
fof(f330,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)],[f71,f34]) ).
fof(f331,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)],[f71,f33]) ).
fof(f332,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)],[f71,f32]) ).
fof(f333,definition,
( sQ75_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( ~ sQ75_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f335,plain,
( sQ75_spl
| ~ product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
( sQ76_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ76_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f338,plain,
( sQ76_spl
| ~ product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,definition,
( sQ77_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( ~ sQ77_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f341,plain,
( sQ77_spl
| ~ product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,definition,
( sQ78_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( ~ sQ78_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f344,plain,
( sQ78_spl
| ~ product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,definition,
( sQ79_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ79_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f347,plain,
( sQ79_spl
| ~ product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f328,f333,f336,f339,f342,f345]) ).
fof(f349,definition,
( sQ80_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ80_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f351,plain,
( sQ80_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,definition,
( sQ81_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( ~ sQ81_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f354,plain,
( sQ81_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,definition,
( sQ82_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( ~ sQ82_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f357,plain,
( sQ82_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,definition,
( sQ83_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( ~ sQ83_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f360,plain,
( sQ83_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,definition,
( sQ84_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ84_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f363,plain,
( sQ84_spl
| ~ product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f329,f349,f352,f355,f358,f361]) ).
fof(f365,definition,
( sQ85_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( ~ sQ85_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f367,plain,
( sQ85_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,definition,
( sQ86_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( ~ sQ86_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f370,plain,
( sQ86_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,definition,
( sQ87_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( ~ sQ87_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f373,plain,
( sQ87_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,definition,
( sQ88_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( ~ sQ88_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f376,plain,
( sQ88_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,definition,
( sQ89_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ89_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f379,plain,
( sQ89_spl
| ~ product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f330,f365,f368,f371,f374,f377]) ).
fof(f381,definition,
( sQ90_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f382,plain,
( ~ sQ90_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f383,plain,
( sQ90_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,definition,
( sQ91_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( ~ sQ91_spl
| product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f386,plain,
( sQ91_spl
| ~ product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,definition,
( sQ92_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( ~ sQ92_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f389,plain,
( sQ92_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,definition,
( sQ93_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f391,plain,
( ~ sQ93_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f392,plain,
( sQ93_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,definition,
( sQ94_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f394,plain,
( ~ sQ94_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f395,plain,
( sQ94_spl
| ~ product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f331,f381,f384,f387,f390,f393]) ).
fof(f397,definition,
( sQ95_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f398,plain,
( ~ sQ95_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f399,plain,
( sQ95_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,definition,
( sQ96_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( ~ sQ96_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f402,plain,
( sQ96_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,definition,
( sQ97_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( ~ sQ97_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f405,plain,
( sQ97_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,definition,
( sQ98_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( ~ sQ98_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f408,plain,
( sQ98_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,definition,
( sQ99_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( ~ sQ99_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f411,plain,
( sQ99_spl
| ~ product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f332,f397,f400,f403,f406,f409]) ).
fof(f413,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)],[f72,f36]) ).
fof(f414,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)],[f72,f35]) ).
fof(f415,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)],[f72,f34]) ).
fof(f416,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)],[f72,f33]) ).
fof(f417,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)],[f72,f32]) ).
fof(f418,definition,
( sQ100_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ100_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f420,plain,
( sQ100_spl
| ~ product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ101_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ101_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f423,plain,
( sQ101_spl
| ~ product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ102_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ102_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f426,plain,
( sQ102_spl
| ~ product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ103_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ103_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f429,plain,
( sQ103_spl
| ~ product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ104_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ104_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f432,plain,
( sQ104_spl
| ~ product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f413,f418,f421,f424,f427,f430]) ).
fof(f434,definition,
( sQ105_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ105_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f436,plain,
( sQ105_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ106_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ106_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f439,plain,
( sQ106_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ107_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ107_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f442,plain,
( sQ107_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,definition,
( sQ108_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ108_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f445,plain,
( sQ108_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ109_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ109_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f448,plain,
( sQ109_spl
| ~ product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f414,f434,f437,f440,f443,f446]) ).
fof(f450,definition,
( sQ110_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ110_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f452,plain,
( sQ110_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ111_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ111_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f455,plain,
( sQ111_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,definition,
( sQ112_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ112_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f458,plain,
( sQ112_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,definition,
( sQ113_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( ~ sQ113_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f461,plain,
( sQ113_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,definition,
( sQ114_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ114_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f464,plain,
( sQ114_spl
| ~ product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f415,f450,f453,f456,f459,f462]) ).
fof(f466,definition,
( sQ115_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( ~ sQ115_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f468,plain,
( sQ115_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,definition,
( sQ116_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( ~ sQ116_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f471,plain,
( sQ116_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,definition,
( sQ117_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( ~ sQ117_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f474,plain,
( sQ117_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,definition,
( sQ118_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( ~ sQ118_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f477,plain,
( sQ118_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,definition,
( sQ119_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( ~ sQ119_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f480,plain,
( sQ119_spl
| ~ product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f416,f466,f469,f472,f475,f478]) ).
fof(f482,definition,
( sQ120_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ120_spl
| product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f484,plain,
( sQ120_spl
| ~ product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
( sQ121_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ121_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f487,plain,
( sQ121_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,definition,
( sQ122_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ122_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f490,plain,
( sQ122_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,definition,
( sQ123_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( ~ sQ123_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f493,plain,
( sQ123_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
( sQ124_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( ~ sQ124_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f496,plain,
( sQ124_spl
| ~ product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f417,f482,f485,f488,f491,f494]) ).
fof(f498,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f155,f63]) ).
fof(f499,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f155,f61]) ).
fof(f500,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f155,f59]) ).
fof(f501,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f155,f67]) ).
fof(f502,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f155,f65]) ).
fof(f503,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f501,f155]) ).
fof(f504,definition,
! [X0] :
( sQ125_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f505,plain,
! [X0] :
( ~ sQ125_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,definition,
( sQ126_spl
<=> equalish(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( ~ sQ126_spl
| equalish(e_1,e_1) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f510,plain,
( ~ sQ24_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f503,f504,f507,f154]) ).
fof(f511,plain,
! [X0] :
( ~ sQ125_spl
| ~ product(X0,e_1,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f505]) ).
fof(f512,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f152,f63]) ).
fof(f513,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f152,f61]) ).
fof(f514,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f152,f59]) ).
fof(f515,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f152,f67]) ).
fof(f516,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f152,f65]) ).
fof(f517,plain,
( ~ sQ23_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f512,f152]) ).
fof(f518,plain,
( ~ sQ23_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f513,f152]) ).
fof(f519,plain,
( ~ sQ23_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f514,f152]) ).
fof(f520,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f149,f514]) ).
fof(f521,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f149,f63]) ).
fof(f522,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f149,f61]) ).
fof(f523,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f149,f59]) ).
fof(f524,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f149,f67]) ).
fof(f525,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f149,f65]) ).
fof(f526,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f520,f51]) ).
fof(f527,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f526]) ).
fof(f528,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f146,f63]) ).
fof(f529,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f146,f61]) ).
fof(f530,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f146,f59]) ).
fof(f531,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f146,f67]) ).
fof(f532,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f146,f65]) ).
fof(f533,plain,
( ~ sQ21_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f528,f146]) ).
fof(f534,plain,
( ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f529,f146]) ).
fof(f535,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f530,f146]) ).
fof(f536,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f143,f530]) ).
fof(f537,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f143,f63]) ).
fof(f538,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f143,f61]) ).
fof(f539,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f143,f59]) ).
fof(f540,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f143,f67]) ).
fof(f541,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f143,f65]) ).
fof(f542,plain,
( ~ sQ21_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f536,f41]) ).
fof(f543,plain,
( ~ sQ21_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f542]) ).
fof(f544,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f139,f63]) ).
fof(f545,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f139,f61]) ).
fof(f546,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f139,f59]) ).
fof(f547,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f139,f67]) ).
fof(f548,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f139,f65]) ).
fof(f549,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f547,f139]) ).
fof(f550,definition,
! [X0] :
( sQ127_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f551,plain,
! [X0] :
( ~ sQ127_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,definition,
( sQ128_spl
<=> equalish(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( ~ sQ128_spl
| equalish(e_2,e_2) ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,plain,
( ~ sQ19_spl
| sQ128_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f549,f550,f553,f138]) ).
fof(f557,plain,
! [X0] :
( ~ sQ127_spl
| ~ product(X0,e_2,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f551]) ).
fof(f558,plain,
( ~ sQ19_spl
| ~ sQ127_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f139,f557]) ).
fof(f559,plain,
( ~ sQ19_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f558]) ).
fof(f560,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f136,f63]) ).
fof(f561,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f136,f61]) ).
fof(f562,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f136,f59]) ).
fof(f563,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f136,f67]) ).
fof(f564,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f136,f65]) ).
fof(f565,plain,
( ~ sQ18_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f560,f136]) ).
fof(f566,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f561,f136]) ).
fof(f567,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f562,f136]) ).
fof(f568,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f133,f562]) ).
fof(f569,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f133,f63]) ).
fof(f570,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f133,f61]) ).
fof(f571,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f133,f59]) ).
fof(f572,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f133,f67]) ).
fof(f573,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f133,f65]) ).
fof(f574,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f568,f51]) ).
fof(f575,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f574]) ).
fof(f576,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f130,f562]) ).
fof(f577,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f130,f529]) ).
fof(f578,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f130,f63]) ).
fof(f579,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f130,f61]) ).
fof(f580,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f130,f59]) ).
fof(f581,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f130,f67]) ).
fof(f582,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f130,f65]) ).
fof(f583,plain,
( ~ sQ18_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f576,f50]) ).
fof(f584,plain,
( ~ sQ18_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f583]) ).
fof(f585,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f577,f37]) ).
fof(f586,plain,
( ~ sQ21_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f585]) ).
fof(f587,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f127,f538]) ).
fof(f588,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f127,f63]) ).
fof(f589,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f127,f61]) ).
fof(f590,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f127,f59]) ).
fof(f591,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f127,f67]) ).
fof(f592,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f127,f65]) ).
fof(f593,plain,
( ~ sQ20_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f587,f37]) ).
fof(f594,plain,
( ~ sQ20_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f593]) ).
fof(f595,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f591,f127]) ).
fof(f596,plain,
( ~ sQ15_spl
| sQ128_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f595,f550,f553,f126]) ).
fof(f597,plain,
( ~ sQ19_spl
| ~ sQ14_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f123,f545]) ).
fof(f598,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ14_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f123,f547]) ).
fof(f599,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ14_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f123,f548]) ).
fof(f600,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f123,f63]) ).
fof(f601,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f123,f61]) ).
fof(f602,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f123,f59]) ).
fof(f603,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f123,f67]) ).
fof(f604,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f123,f65]) ).
fof(f605,plain,
( ~ sQ19_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f597,f42]) ).
fof(f606,plain,
( ~ sQ19_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f605]) ).
fof(f607,plain,
( ~ sQ23_spl
| ~ sQ13_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f120,f513]) ).
fof(f608,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f120,f63]) ).
fof(f609,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f120,f61]) ).
fof(f610,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f120,f59]) ).
fof(f611,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f120,f67]) ).
fof(f612,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f120,f65]) ).
fof(f613,plain,
( ~ sQ23_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f607,f38]) ).
fof(f614,plain,
( ~ sQ23_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f613]) ).
fof(f615,plain,
( ~ sQ22_spl
| ~ sQ12_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f117,f522]) ).
fof(f616,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f117,f63]) ).
fof(f617,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f117,f61]) ).
fof(f618,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f117,f59]) ).
fof(f619,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f117,f67]) ).
fof(f620,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f117,f65]) ).
fof(f621,plain,
( ~ sQ22_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f615,f38]) ).
fof(f622,plain,
( ~ sQ22_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f621]) ).
fof(f623,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f114,f529]) ).
fof(f624,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f114,f63]) ).
fof(f625,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f114,f61]) ).
fof(f626,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f114,f59]) ).
fof(f627,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f114,f67]) ).
fof(f628,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f114,f65]) ).
fof(f629,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f623,f38]) ).
fof(f630,plain,
( ~ sQ21_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f629]) ).
fof(f631,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f111,f538]) ).
fof(f632,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f111,f63]) ).
fof(f633,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f111,f61]) ).
fof(f634,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f111,f59]) ).
fof(f635,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f111,f67]) ).
fof(f636,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f111,f65]) ).
fof(f637,plain,
( ~ sQ20_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f631,f38]) ).
fof(f638,plain,
( ~ sQ20_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f637]) ).
fof(f639,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f635,f111]) ).
fof(f640,definition,
! [X0] :
( sQ129_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f641,plain,
! [X0] :
( ~ sQ129_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,definition,
( sQ130_spl
<=> equalish(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( ~ sQ130_spl
| equalish(e_3,e_3) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,plain,
( ~ sQ10_spl
| sQ130_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f639,f640,f643,f110]) ).
fof(f647,plain,
! [X0] :
( ~ sQ129_spl
| ~ product(X0,e_3,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f641]) ).
fof(f648,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f107,f63]) ).
fof(f649,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f107,f61]) ).
fof(f650,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f107,f59]) ).
fof(f651,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f107,f67]) ).
fof(f652,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f107,f65]) ).
fof(f653,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f651,f107]) ).
fof(f654,definition,
! [X0] :
( sQ131_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f655,plain,
! [X0] :
( ~ sQ131_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,definition,
( sQ132_spl
<=> equalish(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f658,plain,
( ~ sQ132_spl
| equalish(e_4,e_4) ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f660,plain,
( ~ sQ9_spl
| sQ132_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f653,f654,f657,f106]) ).
fof(f661,plain,
! [X0] :
( ~ sQ131_spl
| ~ product(X0,e_4,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f655]) ).
fof(f662,plain,
( ~ sQ9_spl
| ~ sQ131_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f107,f661]) ).
fof(f663,plain,
( ~ sQ9_spl
| ~ sQ131_spl ),
inference(contradiction_clause,[status(thm)],[f662]) ).
fof(f664,plain,
( ~ sQ23_spl
| ~ sQ8_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f104,f513]) ).
fof(f665,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f63]) ).
fof(f666,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f104,f61]) ).
fof(f667,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f104,f59]) ).
fof(f668,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f104,f67]) ).
fof(f669,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f104,f65]) ).
fof(f670,plain,
( ~ sQ23_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f39]) ).
fof(f671,plain,
( ~ sQ23_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f670]) ).
fof(f672,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f668,f104]) ).
fof(f673,plain,
( ~ sQ8_spl
| sQ132_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f672,f654,f657,f103]) ).
fof(f674,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f101,f522]) ).
fof(f675,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f101,f63]) ).
fof(f676,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f101,f61]) ).
fof(f677,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f101,f59]) ).
fof(f678,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f101,f67]) ).
fof(f679,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f101,f65]) ).
fof(f680,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f674,f39]) ).
fof(f681,plain,
( ~ sQ22_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f680]) ).
fof(f682,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f678,f101]) ).
fof(f683,plain,
( ~ sQ7_spl
| sQ132_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f682,f654,f657,f100]) ).
fof(f684,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f98,f529]) ).
fof(f685,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f98,f63]) ).
fof(f686,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f98,f61]) ).
fof(f687,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f98,f59]) ).
fof(f688,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f98,f67]) ).
fof(f689,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f98,f65]) ).
fof(f690,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f684,f39]) ).
fof(f691,plain,
( ~ sQ21_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f690]) ).
fof(f692,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f688,f98]) ).
fof(f693,plain,
( ~ sQ6_spl
| sQ132_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f692,f654,f657,f97]) ).
fof(f694,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f95,f538]) ).
fof(f695,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f95,f63]) ).
fof(f696,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f95,f61]) ).
fof(f697,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f95,f59]) ).
fof(f698,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f95,f67]) ).
fof(f699,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f95,f65]) ).
fof(f700,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f694,f39]) ).
fof(f701,plain,
( ~ sQ20_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f700]) ).
fof(f702,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_5,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f91,f63]) ).
fof(f703,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_5,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f91,f61]) ).
fof(f704,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_5,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f91,f59]) ).
fof(f705,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f91,f67]) ).
fof(f706,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f91,f65]) ).
fof(f707,plain,
( ~ sQ49_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f240,f511]) ).
fof(f708,plain,
( ~ sQ49_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f707]) ).
fof(f709,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f237,f63]) ).
fof(f710,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f237,f61]) ).
fof(f711,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f237,f59]) ).
fof(f712,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f237,f67]) ).
fof(f713,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f237,f65]) ).
fof(f714,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f234,f63]) ).
fof(f715,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f234,f61]) ).
fof(f716,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f234,f59]) ).
fof(f717,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f234,f67]) ).
fof(f718,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f234,f65]) ).
fof(f719,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f231,f63]) ).
fof(f720,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f231,f61]) ).
fof(f721,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f231,f59]) ).
fof(f722,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f231,f67]) ).
fof(f723,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f231,f65]) ).
fof(f724,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f63]) ).
fof(f725,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f228,f61]) ).
fof(f726,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f228,f59]) ).
fof(f727,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f228,f67]) ).
fof(f728,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f228,f65]) ).
fof(f729,plain,
( ~ sQ44_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f224,f557]) ).
fof(f730,plain,
( ~ sQ44_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f729]) ).
fof(f731,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f221,f63]) ).
fof(f732,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f221,f61]) ).
fof(f733,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f221,f59]) ).
fof(f734,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f221,f67]) ).
fof(f735,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f221,f65]) ).
fof(f736,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f218,f63]) ).
fof(f737,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f218,f61]) ).
fof(f738,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f218,f59]) ).
fof(f739,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f218,f67]) ).
fof(f740,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f218,f65]) ).
fof(f741,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f215,f63]) ).
fof(f742,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f215,f61]) ).
fof(f743,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f215,f59]) ).
fof(f744,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f215,f67]) ).
fof(f745,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f215,f65]) ).
fof(f746,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f212,f63]) ).
fof(f747,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f212,f61]) ).
fof(f748,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f212,f59]) ).
fof(f749,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f212,f67]) ).
fof(f750,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f212,f65]) ).
fof(f751,plain,
( ~ sQ39_spl
| ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f208,f647]) ).
fof(f752,plain,
( ~ sQ39_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f751]) ).
fof(f753,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f205,f63]) ).
fof(f754,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f205,f61]) ).
fof(f755,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f205,f59]) ).
fof(f756,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f205,f67]) ).
fof(f757,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f205,f65]) ).
fof(f758,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ5_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f698,f212]) ).
fof(f759,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ5_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f698,f228]) ).
fof(f760,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f698,f95]) ).
fof(f761,definition,
! [X0] :
( sQ133_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f762,plain,
! [X0] :
( ~ sQ133_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f764,definition,
( sQ134_spl
<=> equalish(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f765,plain,
( ~ sQ134_spl
| equalish(e_4,e_2) ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,plain,
( ~ sQ40_spl
| ~ sQ5_spl
| sQ134_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f758,f761,f764,f94,f211]) ).
fof(f768,definition,
! [X0] :
( sQ135_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f769,plain,
! [X0] :
( ~ sQ135_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,definition,
( sQ136_spl
<=> equalish(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f772,plain,
( ~ sQ136_spl
| equalish(e_4,e_1) ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,plain,
( ~ sQ45_spl
| ~ sQ5_spl
| sQ136_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f759,f768,f771,f94,f227]) ).
fof(f775,plain,
( ~ sQ5_spl
| sQ132_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f760,f654,f657,f94]) ).
fof(f776,plain,
( ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f772,f49]) ).
fof(f777,plain,
~ sQ136_spl,
inference(contradiction_clause,[status(thm)],[f776]) ).
fof(f778,plain,
( ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f765,f50]) ).
fof(f779,plain,
~ sQ134_spl,
inference(contradiction_clause,[status(thm)],[f778]) ).
fof(f780,plain,
( ~ sQ48_spl
| ~ sQ135_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f769,f237]) ).
fof(f781,plain,
( ~ sQ43_spl
| ~ sQ133_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f762,f221]) ).
fof(f782,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f705,f91]) ).
fof(f783,definition,
! [X0] :
( sQ137_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f784,plain,
! [X0] :
( ~ sQ137_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,definition,
( sQ138_spl
<=> equalish(e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( ~ sQ138_spl
| equalish(e_5,e_5) ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,plain,
( ~ sQ4_spl
| sQ138_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f782,f783,f786,f90]) ).
fof(f790,plain,
! [X0] :
( ~ sQ137_spl
| ~ product(X0,e_5,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f784]) ).
fof(f791,plain,
( ~ sQ4_spl
| ~ sQ137_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f91,f790]) ).
fof(f792,plain,
( ~ sQ4_spl
| ~ sQ137_spl ),
inference(contradiction_clause,[status(thm)],[f791]) ).
fof(f793,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ23_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f516,f205]) ).
fof(f794,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ23_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f516,f221]) ).
fof(f795,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ23_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f516,f237]) ).
fof(f796,definition,
! [X0] :
( sQ139_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f797,plain,
! [X0] :
( ~ sQ139_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,definition,
( sQ140_spl
<=> equalish(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f800,plain,
( ~ sQ140_spl
| equalish(e_5,e_4) ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,plain,
( ~ sQ38_spl
| ~ sQ23_spl
| sQ140_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f793,f796,f799,f151,f204]) ).
fof(f803,definition,
! [X0] :
( sQ141_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f804,plain,
! [X0] :
( ~ sQ141_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,plain,
( ~ sQ43_spl
| ~ sQ23_spl
| sQ140_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f794,f803,f799,f151,f220]) ).
fof(f807,definition,
! [X0] :
( sQ142_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f808,plain,
! [X0] :
( ~ sQ142_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,plain,
( ~ sQ48_spl
| ~ sQ23_spl
| sQ140_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f795,f807,f799,f151,f236]) ).
fof(f811,plain,
( ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f800,f56]) ).
fof(f812,plain,
~ sQ140_spl,
inference(contradiction_clause,[status(thm)],[f811]) ).
fof(f813,plain,
( ~ sQ48_spl
| ~ sQ142_spl
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f808,f237]) ).
fof(f815,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ48_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f712,f221]) ).
fof(f816,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f712,f237]) ).
fof(f817,definition,
! [X0] :
( sQ143_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f818,plain,
! [X0] :
( ~ sQ143_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,definition,
( sQ144_spl
<=> equalish(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( ~ sQ144_spl
| equalish(e_1,e_3) ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f824,definition,
! [X0] :
( sQ145_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f825,plain,
! [X0] :
( ~ sQ145_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f827,definition,
( sQ146_spl
<=> equalish(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f828,plain,
( ~ sQ146_spl
| equalish(e_1,e_2) ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,plain,
( ~ sQ43_spl
| ~ sQ48_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f815,f824,f827,f236,f220]) ).
fof(f831,definition,
! [X0] :
( sQ147_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f832,plain,
! [X0] :
( ~ sQ147_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f834,plain,
( ~ sQ48_spl
| sQ126_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f816,f831,f507,f236]) ).
fof(f835,plain,
! [X0] :
( ~ sQ147_spl
| ~ product(X0,e_1,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f832]) ).
fof(f836,plain,
( ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f828,f37]) ).
fof(f837,plain,
~ sQ146_spl,
inference(contradiction_clause,[status(thm)],[f836]) ).
fof(f838,plain,
( ~ sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f821,f38]) ).
fof(f839,plain,
~ sQ144_spl,
inference(contradiction_clause,[status(thm)],[f838]) ).
fof(f840,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f739,f218]) ).
fof(f841,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ42_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f739,f234]) ).
fof(f842,definition,
! [X0] :
( sQ148_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f843,plain,
! [X0] :
( ~ sQ148_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,plain,
( ~ sQ42_spl
| sQ128_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f840,f842,f553,f217]) ).
fof(f846,definition,
( sQ149_spl
<=> equalish(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ149_spl
| equalish(e_2,e_1) ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| sQ149_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f841,f824,f846,f217,f233]) ).
fof(f850,plain,
( ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f847,f41]) ).
fof(f851,plain,
~ sQ149_spl,
inference(contradiction_clause,[status(thm)],[f850]) ).
fof(f852,plain,
! [X0] :
( ~ sQ148_spl
| ~ product(X0,e_2,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f843]) ).
fof(f855,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ6_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f689,f215]) ).
fof(f856,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ6_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f689,f231]) ).
fof(f857,plain,
( ~ sQ41_spl
| ~ sQ6_spl
| sQ140_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f855,f761,f799,f97,f214]) ).
fof(f858,plain,
( ~ sQ46_spl
| ~ sQ6_spl
| sQ140_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f856,f768,f799,f97,f230]) ).
fof(f859,plain,
( ~ sQ46_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f719,f231]) ).
fof(f860,plain,
( ~ sQ41_spl
| ~ sQ46_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f720,f215]) ).
fof(f861,plain,
( ~ sQ46_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f720,f231]) ).
fof(f862,plain,
( ~ sQ41_spl
| ~ sQ46_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f860,f827,f230,f214]) ).
fof(f863,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ37_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f202,f524]) ).
fof(f864,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ37_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f202,f525]) ).
fof(f865,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f202,f63]) ).
fof(f866,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f202,f61]) ).
fof(f867,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f202,f59]) ).
fof(f868,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f202,f67]) ).
fof(f869,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f202,f65]) ).
fof(f870,plain,
( ~ sQ22_spl
| ~ sQ37_spl
| sQ144_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f863,f796,f820,f201,f148]) ).
fof(f871,plain,
( ~ sQ22_spl
| ~ sQ37_spl
| sQ140_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f864,f796,f799,f201,f148]) ).
fof(f872,plain,
( ~ sQ23_spl
| ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f152,f835]) ).
fof(f873,plain,
( ~ sQ23_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f872]) ).
fof(f874,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f199,f63]) ).
fof(f875,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f199,f61]) ).
fof(f876,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f199,f59]) ).
fof(f877,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f199,f67]) ).
fof(f878,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f199,f65]) ).
fof(f879,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f877,f199]) ).
fof(f880,definition,
! [X0] :
( sQ150_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f881,plain,
! [X0] :
( ~ sQ150_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f880]) ).
fof(f883,plain,
( ~ sQ36_spl
| sQ130_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f879,f880,f643,f198]) ).
fof(f884,plain,
! [X0] :
( ~ sQ150_spl
| ~ product(X0,e_3,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f881]) ).
fof(f885,plain,
( ~ sQ36_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f874,f199]) ).
fof(f886,plain,
( ~ sQ36_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f875,f199]) ).
fof(f887,plain,
( ~ sQ36_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f876,f199]) ).
fof(f888,plain,
( ~ sQ36_spl
| ~ sQ35_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f196,f876]) ).
fof(f889,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f196,f747]) ).
fof(f890,plain,
( ~ sQ45_spl
| ~ sQ35_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f196,f725]) ).
fof(f891,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ35_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f196,f591]) ).
fof(f892,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ35_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f196,f592]) ).
fof(f893,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f196,f63]) ).
fof(f894,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f196,f61]) ).
fof(f895,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f196,f59]) ).
fof(f896,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f196,f67]) ).
fof(f897,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f196,f65]) ).
fof(f898,plain,
( ~ sQ36_spl
| ~ sQ35_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f888,f846,f195,f198]) ).
fof(f899,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f889,f42]) ).
fof(f900,plain,
( ~ sQ40_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f899]) ).
fof(f901,plain,
( ~ sQ38_spl
| ~ sQ150_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f205,f884]) ).
fof(f902,plain,
( ~ sQ38_spl
| ~ sQ150_spl ),
inference(contradiction_clause,[status(thm)],[f901]) ).
fof(f903,plain,
( ~ sQ43_spl
| ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f221,f852]) ).
fof(f904,plain,
( ~ sQ43_spl
| ~ sQ148_spl ),
inference(contradiction_clause,[status(thm)],[f903]) ).
fof(f905,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f192,f63]) ).
fof(f906,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f192,f61]) ).
fof(f907,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f192,f59]) ).
fof(f908,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f192,f67]) ).
fof(f909,plain,
! [X0,X1,X2] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f192,f65]) ).
fof(f910,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f908,f192]) ).
fof(f911,definition,
! [X0] :
( sQ151_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f912,plain,
! [X0] :
( ~ sQ151_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,plain,
( ~ sQ34_spl
| sQ132_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f910,f911,f657,f191]) ).
fof(f915,plain,
! [X0] :
( ~ sQ151_spl
| ~ product(X0,e_4,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f912]) ).
fof(f916,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f905,f192]) ).
fof(f917,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f906,f192]) ).
fof(f918,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f907,f192]) ).
fof(f919,plain,
( ~ sQ33_spl
| ~ sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f189,f915]) ).
fof(f920,plain,
( ~ sQ33_spl
| ~ sQ151_spl ),
inference(contradiction_clause,[status(thm)],[f919]) ).
fof(f925,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f186,f907]) ).
fof(f926,plain,
( ~ sQ42_spl
| ~ sQ32_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f186,f737]) ).
fof(f927,plain,
( ~ sQ37_spl
| ~ sQ32_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f186,f866]) ).
fof(f928,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f186,f524]) ).
fof(f929,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ32_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f186,f525]) ).
fof(f930,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f186,f63]) ).
fof(f931,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f186,f61]) ).
fof(f932,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f186,f59]) ).
fof(f933,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f186,f67]) ).
fof(f934,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f186,f65]) ).
fof(f935,plain,
( ~ sQ34_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f925,f55]) ).
fof(f936,plain,
( ~ sQ34_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f935]) ).
fof(f937,plain,
( ~ sQ42_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f926,f43]) ).
fof(f938,plain,
( ~ sQ42_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f937]) ).
fof(f939,plain,
( ~ sQ41_spl
| ~ sQ31_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f183,f742]) ).
fof(f940,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f183,f63]) ).
fof(f941,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f183,f61]) ).
fof(f942,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f183,f59]) ).
fof(f943,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f183,f67]) ).
fof(f944,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f183,f65]) ).
fof(f945,plain,
( ~ sQ41_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f939,f43]) ).
fof(f946,plain,
( ~ sQ41_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f945]) ).
fof(f947,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f943,f183]) ).
fof(f948,plain,
( ~ sQ31_spl
| sQ132_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f947,f911,f657,f182]) ).
fof(f949,plain,
( ~ sQ40_spl
| ~ sQ30_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f180,f747]) ).
fof(f950,plain,
( ~ sQ45_spl
| ~ sQ30_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f180,f725]) ).
fof(f951,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ30_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f180,f591]) ).
fof(f952,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ30_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f180,f592]) ).
fof(f953,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f180,f63]) ).
fof(f954,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f180,f61]) ).
fof(f955,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f180,f59]) ).
fof(f956,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f180,f67]) ).
fof(f957,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f180,f65]) ).
fof(f958,plain,
( ~ sQ40_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f949,f43]) ).
fof(f959,plain,
( ~ sQ40_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f958]) ).
fof(f960,plain,
( ~ sQ45_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f950,f39]) ).
fof(f961,plain,
( ~ sQ45_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f960]) ).
fof(f962,plain,
( ~ sQ34_spl
| ~ sQ29_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f176,f906]) ).
fof(f963,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ29_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f176,f908]) ).
fof(f964,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ29_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f176,f909]) ).
fof(f965,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f176,f63]) ).
fof(f966,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f176,f61]) ).
fof(f967,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_5,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f176,f59]) ).
fof(f968,plain,
! [X0,X1,X2] :
( ~ sQ29_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f176,f67]) ).
fof(f969,plain,
! [X0,X1,X2] :
( ~ sQ29_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f176,f65]) ).
fof(f970,plain,
( ~ sQ34_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f962,f52]) ).
fof(f971,plain,
( ~ sQ34_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f970]) ).
fof(f972,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f968,f176]) ).
fof(f973,definition,
! [X0] :
( sQ152_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f974,plain,
! [X0] :
( ~ sQ152_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f976,plain,
( ~ sQ29_spl
| sQ138_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f972,f973,f786,f175]) ).
fof(f977,plain,
! [X0] :
( ~ sQ152_spl
| ~ product(X0,e_5,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f974]) ).
fof(f978,plain,
( ~ sQ28_spl
| ~ sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f173,f977]) ).
fof(f979,plain,
( ~ sQ28_spl
| ~ sQ152_spl ),
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f980,plain,
( ~ sQ47_spl
| ~ sQ27_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f170,f715]) ).
fof(f981,plain,
( ~ sQ37_spl
| ~ sQ27_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f170,f866]) ).
fof(f982,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ27_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f170,f524]) ).
fof(f983,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ27_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f170,f525]) ).
fof(f984,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f170,f63]) ).
fof(f985,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f170,f61]) ).
fof(f986,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f170,f59]) ).
fof(f987,plain,
! [X0,X1,X2] :
( ~ sQ27_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f170,f67]) ).
fof(f988,plain,
! [X0,X1,X2] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f170,f65]) ).
fof(f989,plain,
( ~ sQ47_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f980,f40]) ).
fof(f990,plain,
( ~ sQ47_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f989]) ).
fof(f991,plain,
( ~ sQ37_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f981,f48]) ).
fof(f992,plain,
( ~ sQ37_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f991]) ).
fof(f993,plain,
( ~ sQ31_spl
| ~ sQ26_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f167,f941]) ).
fof(f994,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ26_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f944]) ).
fof(f995,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f167,f63]) ).
fof(f996,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f167,f61]) ).
fof(f997,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f167,f59]) ).
fof(f998,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f167,f67]) ).
fof(f999,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f167,f65]) ).
fof(f1000,plain,
( ~ sQ31_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f993,f52]) ).
fof(f1001,plain,
( ~ sQ31_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1000]) ).
fof(f1002,definition,
! [X0] :
( sQ153_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1003,plain,
! [X0] :
( ~ sQ153_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,definition,
( sQ154_spl
<=> equalish(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f1006,plain,
( ~ sQ154_spl
| equalish(e_1,e_4) ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1008,plain,
( ~ sQ22_spl
| ~ sQ32_spl
| sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f928,f1002,f1005,f185,f148]) ).
fof(f1009,plain,
( ~ sQ22_spl
| ~ sQ32_spl
| sQ140_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f929,f1002,f799,f185,f148]) ).
fof(f1010,plain,
( ~ sQ154_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1006,f39]) ).
fof(f1011,plain,
~ sQ154_spl,
inference(contradiction_clause,[status(thm)],[f1010]) ).
fof(f1012,definition,
! [X0] :
( sQ155_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ155_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1015,definition,
( sQ156_spl
<=> equalish(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1016,plain,
( ~ sQ156_spl
| equalish(e_2,e_4) ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1018,plain,
( ~ sQ15_spl
| ~ sQ30_spl
| sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f951,f1012,f1015,f179,f126]) ).
fof(f1019,plain,
( ~ sQ15_spl
| ~ sQ30_spl
| sQ140_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f952,f1012,f799,f179,f126]) ).
fof(f1020,plain,
( ~ sQ156_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1016,f43]) ).
fof(f1021,plain,
~ sQ156_spl,
inference(contradiction_clause,[status(thm)],[f1020]) ).
fof(f1022,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f164,f63]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f164,f61]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_1,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f164,f59]) ).
fof(f1025,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f164,f67]) ).
fof(f1026,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f164,f65]) ).
fof(f1027,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f325,f63]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f325,f61]) ).
fof(f1029,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f325,f59]) ).
fof(f1030,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f325,f67]) ).
fof(f1031,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f325,f65]) ).
fof(f1032,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ73_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f322,f668]) ).
fof(f1033,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ73_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f322,f669]) ).
fof(f1034,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f322,f63]) ).
fof(f1035,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f322,f61]) ).
fof(f1036,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f322,f59]) ).
fof(f1037,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f322,f67]) ).
fof(f1038,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f322,f65]) ).
fof(f1039,definition,
! [X0] :
( sQ157_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ157_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1042,plain,
( ~ sQ8_spl
| ~ sQ73_spl
| sQ136_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1032,f1039,f771,f321,f103]) ).
fof(f1043,definition,
( sQ158_spl
<=> equalish(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f1044,plain,
( ~ sQ158_spl
| equalish(e_5,e_3) ),
inference(component_clause,[status(thm)],[f1043]) ).
fof(f1046,plain,
( ~ sQ8_spl
| ~ sQ73_spl
| sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f1033,f1039,f1043,f321,f103]) ).
fof(f1047,plain,
( ~ sQ158_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1044,f55]) ).
fof(f1048,plain,
~ sQ158_spl,
inference(contradiction_clause,[status(thm)],[f1047]) ).
fof(f1049,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f319,f63]) ).
fof(f1050,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f319,f61]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f319,f59]) ).
fof(f1052,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f319,f67]) ).
fof(f1053,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f319,f65]) ).
fof(f1054,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f316,f63]) ).
fof(f1055,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f316,f61]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f316,f59]) ).
fof(f1057,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f316,f67]) ).
fof(f1058,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f316,f65]) ).
fof(f1059,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f313,f63]) ).
fof(f1060,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f313,f61]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f313,f59]) ).
fof(f1062,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f313,f67]) ).
fof(f1063,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f313,f65]) ).
fof(f1064,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f309,f63]) ).
fof(f1065,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f309,f61]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f309,f59]) ).
fof(f1067,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f309,f67]) ).
fof(f1068,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f309,f65]) ).
fof(f1069,plain,
( ~ sQ68_spl
| ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f306,f852]) ).
fof(f1070,plain,
( ~ sQ68_spl
| ~ sQ148_spl ),
inference(contradiction_clause,[status(thm)],[f1069]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f303,f63]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f303,f61]) ).
fof(f1073,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f303,f59]) ).
fof(f1074,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f303,f67]) ).
fof(f1075,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f303,f65]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f300,f63]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f300,f61]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f300,f59]) ).
fof(f1079,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f300,f67]) ).
fof(f1080,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f300,f65]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f297,f63]) ).
fof(f1082,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f297,f61]) ).
fof(f1083,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f297,f59]) ).
fof(f1084,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f297,f67]) ).
fof(f1085,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f297,f65]) ).
fof(f1086,plain,
( ~ sQ74_spl
| ~ sQ153_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f1003,f325]) ).
fof(f1087,plain,
( ~ sQ74_spl
| ~ sQ139_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f797,f325]) ).
fof(f1088,plain,
( ~ sQ69_spl
| ~ sQ155_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f1013,f309]) ).
fof(f1089,plain,
( ~ sQ72_spl
| ~ sQ157_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f1040,f319]) ).
fof(f1090,plain,
( ~ sQ74_spl
| ~ sQ141_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f804,f325]) ).
fof(f1091,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ21_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f532,f300]) ).
fof(f1092,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ21_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f532,f316]) ).
fof(f1093,definition,
! [X0] :
( sQ159_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f1094,plain,
! [X0] :
( ~ sQ159_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1093]) ).
fof(f1096,plain,
( ~ sQ66_spl
| ~ sQ21_spl
| sQ158_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f1091,f1093,f1043,f145,f299]) ).
fof(f1097,definition,
! [X0] :
( sQ160_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ160_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1097]) ).
fof(f1100,plain,
( ~ sQ71_spl
| ~ sQ21_spl
| sQ158_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f1092,f1097,f1043,f145,f315]) ).
fof(f1101,plain,
( ~ sQ72_spl
| ~ sQ160_spl
| ~ product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f1098,f319]) ).
fof(f1102,plain,
( ~ sQ72_spl
| ~ sQ160_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1101,f325]) ).
fof(f1103,plain,
( ~ sQ72_spl
| ~ sQ160_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f1102]) ).
fof(f1104,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ42_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f739,f303]) ).
fof(f1105,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ42_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f739,f319]) ).
fof(f1106,definition,
! [X0] :
( sQ161_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ161_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1106]) ).
fof(f1109,plain,
( ~ sQ67_spl
| ~ sQ42_spl
| sQ128_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f1104,f1106,f553,f217,f302]) ).
fof(f1110,definition,
! [X0] :
( sQ162_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f1111,plain,
! [X0] :
( ~ sQ162_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1110]) ).
fof(f1113,plain,
( ~ sQ72_spl
| ~ sQ42_spl
| sQ149_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1105,f1110,f846,f217,f318]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ42_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f740,f303]) ).
fof(f1115,definition,
( sQ163_spl
<=> equalish(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f1116,plain,
( ~ sQ163_spl
| equalish(e_4,e_3) ),
inference(component_clause,[status(thm)],[f1115]) ).
fof(f1118,plain,
( ~ sQ67_spl
| ~ sQ42_spl
| sQ163_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f1114,f1106,f1115,f217,f302]) ).
fof(f1119,plain,
( ~ sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1116,f51]) ).
fof(f1120,plain,
~ sQ163_spl,
inference(contradiction_clause,[status(thm)],[f1119]) ).
fof(f1121,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ36_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f878,f300]) ).
fof(f1122,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ36_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f878,f316]) ).
fof(f1123,definition,
! [X0] :
( sQ164_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1124,plain,
! [X0] :
( ~ sQ164_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1123]) ).
fof(f1126,plain,
( ~ sQ66_spl
| ~ sQ36_spl
| sQ163_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f1121,f1123,f1115,f198,f299]) ).
fof(f1127,definition,
! [X0] :
( sQ165_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ165_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1130,plain,
( ~ sQ71_spl
| ~ sQ36_spl
| sQ163_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f1122,f1127,f1115,f198,f315]) ).
fof(f1131,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ25_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1025,f297]) ).
fof(f1132,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ25_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1025,f313]) ).
fof(f1133,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1025,f164]) ).
fof(f1134,definition,
! [X0] :
( sQ166_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f1135,plain,
! [X0] :
( ~ sQ166_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1134]) ).
fof(f1137,definition,
( sQ167_spl
<=> equalish(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1138,plain,
( ~ sQ167_spl
| equalish(e_5,e_2) ),
inference(component_clause,[status(thm)],[f1137]) ).
fof(f1140,plain,
( ~ sQ65_spl
| ~ sQ25_spl
| sQ167_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f1131,f1134,f1137,f163,f296]) ).
fof(f1141,definition,
! [X0] :
( sQ168_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1142,plain,
! [X0] :
( ~ sQ168_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1141]) ).
fof(f1144,definition,
( sQ169_spl
<=> equalish(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1145,plain,
( ~ sQ169_spl
| equalish(e_5,e_1) ),
inference(component_clause,[status(thm)],[f1144]) ).
fof(f1147,plain,
( ~ sQ70_spl
| ~ sQ25_spl
| sQ169_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1132,f1141,f1144,f163,f312]) ).
fof(f1148,plain,
( ~ sQ25_spl
| sQ138_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1133,f973,f786,f163]) ).
fof(f1149,plain,
( ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1145,f53]) ).
fof(f1150,plain,
~ sQ169_spl,
inference(contradiction_clause,[status(thm)],[f1149]) ).
fof(f1151,plain,
( ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1138,f54]) ).
fof(f1152,plain,
~ sQ167_spl,
inference(contradiction_clause,[status(thm)],[f1151]) ).
fof(f1153,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ70_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1062,f297]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1062,f313]) ).
fof(f1155,definition,
! [X0] :
( sQ170_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1156,plain,
! [X0] :
( ~ sQ170_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1155]) ).
fof(f1158,plain,
( ~ sQ65_spl
| ~ sQ70_spl
| sQ146_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f1153,f1155,f827,f312,f296]) ).
fof(f1159,definition,
! [X0] :
( sQ171_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1160,plain,
! [X0] :
( ~ sQ171_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1159]) ).
fof(f1162,plain,
( ~ sQ70_spl
| sQ126_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f1154,f1159,f507,f312]) ).
fof(f1163,plain,
! [X0] :
( ~ sQ171_spl
| ~ product(X0,e_1,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f1160]) ).
fof(f1164,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1067,f309]) ).
fof(f1165,definition,
! [X0] :
( sQ172_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1166,plain,
! [X0] :
( ~ sQ172_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1165]) ).
fof(f1168,plain,
( ~ sQ69_spl
| sQ128_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1164,f1165,f553,f308]) ).
fof(f1169,plain,
! [X0] :
( ~ sQ172_spl
| ~ product(X0,e_2,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f1166]) ).
fof(f1170,plain,
( ~ sQ68_spl
| ~ sQ74_spl
| ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f306,f1090]) ).
fof(f1171,plain,
( ~ sQ68_spl
| ~ sQ74_spl
| ~ sQ141_spl ),
inference(contradiction_clause,[status(thm)],[f1170]) ).
fof(f1172,plain,
( ~ sQ72_spl
| ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f319,f1163]) ).
fof(f1173,plain,
( ~ sQ72_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f1172]) ).
fof(f1174,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ34_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f909,f309]) ).
fof(f1175,definition,
! [X0] :
( sQ173_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1176,plain,
! [X0] :
( ~ sQ173_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1175]) ).
fof(f1178,plain,
( ~ sQ69_spl
| ~ sQ34_spl
| sQ163_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1174,f1175,f1115,f191,f308]) ).
fof(f1179,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ64_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f293,f908]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f293,f63]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f293,f61]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f293,f59]) ).
fof(f1184,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f293,f67]) ).
fof(f1185,plain,
! [X0,X1,X2] :
( ~ sQ64_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f293,f65]) ).
fof(f1186,definition,
! [X0] :
( sQ174_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ174_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1186]) ).
fof(f1189,plain,
( ~ sQ34_spl
| ~ sQ64_spl
| sQ163_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1179,f1186,f1115,f292,f191]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1184,f293]) ).
fof(f1192,definition,
! [X0] :
( sQ175_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1193,plain,
! [X0] :
( ~ sQ175_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1192]) ).
fof(f1195,plain,
( ~ sQ64_spl
| sQ130_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1191,f1192,f643,f292]) ).
fof(f1196,plain,
! [X0] :
( ~ sQ175_spl
| ~ product(X0,e_3,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f1193]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ63_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f290,f564]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ63_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f290,f563]) ).
fof(f1199,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f290,f63]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f290,f61]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f290,f59]) ).
fof(f1202,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f290,f67]) ).
fof(f1203,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f290,f65]) ).
fof(f1204,definition,
! [X0] :
( sQ176_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ176_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1204]) ).
fof(f1207,plain,
( ~ sQ18_spl
| ~ sQ63_spl
| sQ158_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1197,f1204,f1043,f289,f135]) ).
fof(f1208,definition,
( sQ177_spl
<=> equalish(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1209,plain,
( ~ sQ177_spl
| equalish(e_2,e_3) ),
inference(component_clause,[status(thm)],[f1208]) ).
fof(f1211,plain,
( ~ sQ18_spl
| ~ sQ63_spl
| sQ177_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1198,f1204,f1208,f289,f135]) ).
fof(f1212,plain,
( ~ sQ177_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1209,f42]) ).
fof(f1213,plain,
~ sQ177_spl,
inference(contradiction_clause,[status(thm)],[f1212]) ).
fof(f1214,plain,
( ~ sQ17_spl
| ~ sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f133,f1169]) ).
fof(f1215,plain,
( ~ sQ17_spl
| ~ sQ172_spl ),
inference(contradiction_clause,[status(thm)],[f1214]) ).
fof(f1216,plain,
( ~ sQ62_spl
| ~ sQ175_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f287,f1196]) ).
fof(f1217,plain,
( ~ sQ62_spl
| ~ sQ175_spl ),
inference(contradiction_clause,[status(thm)],[f1216]) ).
fof(f1218,plain,
( ~ sQ66_spl
| ~ sQ61_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f284,f1077]) ).
fof(f1219,plain,
( ~ sQ71_spl
| ~ sQ61_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f284,f1055]) ).
fof(f1220,plain,
( ~ sQ11_spl
| ~ sQ61_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f284,f624]) ).
fof(f1221,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ61_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f284,f999]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ61_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f284,f998]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ61_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f284,f627]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ61_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f284,f628]) ).
fof(f1225,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ61_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f284,f722]) ).
fof(f1226,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ61_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f284,f723]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f284,f63]) ).
fof(f1228,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f284,f61]) ).
fof(f1229,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f284,f59]) ).
fof(f1230,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f284,f67]) ).
fof(f1231,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f284,f65]) ).
fof(f1232,plain,
( ~ sQ66_spl
| ~ sQ61_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1218,f1208,f283,f299]) ).
fof(f1233,plain,
( ~ sQ71_spl
| ~ sQ61_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1219,f820,f283,f315]) ).
fof(f1234,plain,
( ~ sQ11_spl
| ~ sQ61_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f1220,f1043,f283,f113]) ).
fof(f1235,definition,
! [X0] :
( sQ178_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1236,plain,
! [X0] :
( ~ sQ178_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1235]) ).
fof(f1238,plain,
( ~ sQ26_spl
| ~ sQ61_spl
| sQ163_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1221,f1235,f1115,f283,f166]) ).
fof(f1239,plain,
( ~ sQ26_spl
| ~ sQ61_spl
| sQ158_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1222,f1235,f1043,f283,f166]) ).
fof(f1240,definition,
! [X0] :
( sQ179_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ179_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1240]) ).
fof(f1243,plain,
( ~ sQ11_spl
| ~ sQ61_spl
| sQ130_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1223,f1240,f643,f283,f113]) ).
fof(f1244,plain,
( ~ sQ11_spl
| ~ sQ61_spl
| sQ158_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1224,f1240,f1043,f283,f113]) ).
fof(f1245,definition,
! [X0] :
( sQ180_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1246,plain,
! [X0] :
( ~ sQ180_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1245]) ).
fof(f1248,plain,
( ~ sQ46_spl
| ~ sQ61_spl
| sQ144_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1225,f1245,f820,f283,f230]) ).
fof(f1249,plain,
( ~ sQ46_spl
| ~ sQ61_spl
| sQ163_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1226,f1245,f1115,f283,f230]) ).
fof(f1250,plain,
( ~ sQ45_spl
| ~ sQ35_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f890,f820,f195,f227]) ).
fof(f1251,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ60_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f281,f1085]) ).
fof(f1252,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ60_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f281,f1084]) ).
fof(f1253,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ60_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f281,f727]) ).
fof(f1254,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ60_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f281,f728]) ).
fof(f1255,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ60_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f281,f540]) ).
fof(f1256,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ60_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f281,f541]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f281,f63]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f281,f61]) ).
fof(f1259,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f281,f59]) ).
fof(f1260,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f281,f67]) ).
fof(f1261,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f281,f65]) ).
fof(f1262,definition,
! [X0] :
( sQ181_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ181_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| sQ130_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1251,f1262,f643,f280,f296]) ).
fof(f1266,plain,
( ~ sQ65_spl
| ~ sQ60_spl
| sQ177_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1252,f1262,f1208,f280,f296]) ).
fof(f1267,plain,
( ~ sQ45_spl
| ~ sQ60_spl
| sQ144_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1253,f1245,f820,f280,f227]) ).
fof(f1268,plain,
( ~ sQ45_spl
| ~ sQ60_spl
| sQ163_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1254,f1245,f1115,f280,f227]) ).
fof(f1269,definition,
! [X0] :
( sQ182_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1270,plain,
! [X0] :
( ~ sQ182_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1269]) ).
fof(f1272,plain,
( ~ sQ20_spl
| ~ sQ60_spl
| sQ144_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1255,f1269,f820,f280,f142]) ).
fof(f1273,plain,
( ~ sQ20_spl
| ~ sQ60_spl
| sQ158_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1256,f1269,f1043,f280,f142]) ).
fof(f1274,plain,
( ~ sQ37_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f927,f47]) ).
fof(f1275,plain,
( ~ sQ37_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1274]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f277,f63]) ).
fof(f1277,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f277,f61]) ).
fof(f1278,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_5,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f277,f59]) ).
fof(f1279,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f277,f67]) ).
fof(f1280,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f277,f65]) ).
fof(f1281,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ58_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f274,f1038]) ).
fof(f1283,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f274,f63]) ).
fof(f1284,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f274,f61]) ).
fof(f1285,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f274,f59]) ).
fof(f1286,plain,
! [X0,X1,X2] :
( ~ sQ58_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f274,f67]) ).
fof(f1287,plain,
! [X0,X1,X2] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f274,f65]) ).
fof(f1288,definition,
! [X0] :
( sQ183_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1289,plain,
! [X0] :
( ~ sQ183_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1291,plain,
( ~ sQ73_spl
| ~ sQ58_spl
| sQ130_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1281,f1288,f643,f273,f321]) ).
fof(f1293,plain,
( ~ sQ7_spl
| ~ sQ57_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f271,f675]) ).
fof(f1294,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ57_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f271,f620]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ57_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f271,f678]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ57_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f271,f679]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f271,f63]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f271,f61]) ).
fof(f1299,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f271,f59]) ).
fof(f1300,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f271,f67]) ).
fof(f1301,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f271,f65]) ).
fof(f1302,plain,
( ~ sQ7_spl
| ~ sQ57_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f1293,f1043,f270,f100]) ).
fof(f1303,definition,
! [X0] :
( sQ184_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1304,plain,
! [X0] :
( ~ sQ184_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1303]) ).
fof(f1306,plain,
( ~ sQ12_spl
| ~ sQ57_spl
| sQ158_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1294,f1303,f1043,f270,f116]) ).
fof(f1307,definition,
! [X0] :
( sQ185_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1308,plain,
! [X0] :
( ~ sQ185_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1307]) ).
fof(f1310,plain,
( ~ sQ7_spl
| ~ sQ57_spl
| sQ132_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1295,f1307,f657,f270,f100]) ).
fof(f1311,plain,
( ~ sQ7_spl
| ~ sQ57_spl
| sQ158_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1296,f1307,f1043,f270,f100]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ56_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f268,f744]) ).
fof(f1313,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ56_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f268,f745]) ).
fof(f1314,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f268,f63]) ).
fof(f1315,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f268,f61]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f268,f59]) ).
fof(f1317,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f268,f67]) ).
fof(f1318,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f268,f65]) ).
fof(f1319,definition,
! [X0] :
( sQ186_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1320,plain,
! [X0] :
( ~ sQ186_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1319]) ).
fof(f1322,plain,
( ~ sQ41_spl
| ~ sQ56_spl
| sQ156_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1312,f1319,f1015,f267,f214]) ).
fof(f1323,plain,
( ~ sQ41_spl
| ~ sQ56_spl
| sQ163_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1313,f1319,f1115,f267,f214]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f265,f63]) ).
fof(f1325,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f265,f61]) ).
fof(f1326,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f265,f59]) ).
fof(f1327,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f265,f67]) ).
fof(f1328,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f265,f65]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f261,f63]) ).
fof(f1330,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f261,f61]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f261,f59]) ).
fof(f1332,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f261,f67]) ).
fof(f1333,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f261,f65]) ).
fof(f1334,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f258,f63]) ).
fof(f1335,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f258,f61]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f258,f59]) ).
fof(f1337,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f258,f67]) ).
fof(f1338,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f258,f65]) ).
fof(f1339,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f255,f63]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f255,f61]) ).
fof(f1341,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f255,f59]) ).
fof(f1342,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f255,f67]) ).
fof(f1343,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f255,f65]) ).
fof(f1344,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f252,f63]) ).
fof(f1345,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f252,f61]) ).
fof(f1346,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f252,f59]) ).
fof(f1347,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f252,f67]) ).
fof(f1348,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f252,f65]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f249,f63]) ).
fof(f1350,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f249,f61]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f249,f59]) ).
fof(f1352,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f249,f67]) ).
fof(f1353,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f249,f65]) ).
fof(f1354,plain,
( ~ sQ159_spl
| ~ sQ99_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f410,f1094]) ).
fof(f1355,plain,
( ~ sQ139_spl
| ~ sQ99_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f410,f797]) ).
fof(f1356,plain,
( ~ sQ153_spl
| ~ sQ99_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f410,f1003]) ).
fof(f1357,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f410,f63]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f410,f61]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f410,f59]) ).
fof(f1360,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f410,f67]) ).
fof(f1361,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f410,f65]) ).
fof(f1362,plain,
( ~ sQ180_spl
| ~ sQ98_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f407,f1246]) ).
fof(f1363,plain,
( ~ sQ135_spl
| ~ sQ98_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f407,f769]) ).
fof(f1364,plain,
( ~ sQ142_spl
| ~ sQ98_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f407,f808]) ).
fof(f1365,plain,
( ~ sQ145_spl
| ~ sQ98_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f407,f825]) ).
fof(f1366,plain,
( ~ sQ143_spl
| ~ sQ98_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f407,f818]) ).
fof(f1367,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f407,f63]) ).
fof(f1368,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f407,f61]) ).
fof(f1369,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f407,f59]) ).
fof(f1370,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f407,f67]) ).
fof(f1371,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f407,f65]) ).
fof(f1372,plain,
( ~ sQ142_spl
| ~ sQ98_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1364,f410]) ).
fof(f1373,plain,
( ~ sQ142_spl
| ~ sQ98_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1372]) ).
fof(f1374,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f404,f63]) ).
fof(f1375,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f404,f61]) ).
fof(f1376,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f404,f59]) ).
fof(f1377,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f404,f67]) ).
fof(f1378,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f404,f65]) ).
fof(f1379,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f401,f63]) ).
fof(f1380,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f401,f61]) ).
fof(f1381,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f401,f59]) ).
fof(f1382,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f401,f67]) ).
fof(f1383,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f401,f65]) ).
fof(f1384,plain,
( ~ sQ97_spl
| ~ sQ170_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f1156,f404]) ).
fof(f1385,plain,
( ~ sQ97_spl
| ~ sQ168_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f1142,f404]) ).
fof(f1386,plain,
( ~ sQ97_spl
| ~ sQ165_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1128,f404]) ).
fof(f1387,plain,
( ~ sQ97_spl
| ~ sQ162_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f1111,f404]) ).
fof(f1388,plain,
( ~ sQ97_spl
| ~ sQ157_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f1040,f404]) ).
fof(f1389,plain,
( ~ sQ97_spl
| ~ sQ183_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1289,f404]) ).
fof(f1390,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ23_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f515,f258]) ).
fof(f1391,definition,
! [X0] :
( sQ187_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1392,plain,
! [X0] :
( ~ sQ187_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1391]) ).
fof(f1394,definition,
( sQ188_spl
<=> equalish(e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1395,plain,
( ~ sQ188_spl
| equalish(e_1,e_5) ),
inference(component_clause,[status(thm)],[f1394]) ).
fof(f1397,plain,
( ~ sQ53_spl
| ~ sQ23_spl
| sQ188_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1390,f1391,f1394,f151,f257]) ).
fof(f1398,plain,
( ~ sQ188_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1395,f40]) ).
fof(f1399,plain,
~ sQ188_spl,
inference(contradiction_clause,[status(thm)],[f1398]) ).
fof(f1400,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ15_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f592,f249]) ).
fof(f1401,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ15_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f592,f265]) ).
fof(f1402,definition,
! [X0] :
( sQ189_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1403,plain,
! [X0] :
( ~ sQ189_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1402]) ).
fof(f1405,plain,
( ~ sQ50_spl
| ~ sQ15_spl
| sQ158_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1400,f1402,f1043,f126,f248]) ).
fof(f1406,definition,
! [X0] :
( sQ190_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1407,plain,
! [X0] :
( ~ sQ190_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1406]) ).
fof(f1409,plain,
( ~ sQ55_spl
| ~ sQ15_spl
| sQ158_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1401,f1406,f1043,f126,f264]) ).
fof(f1410,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ64_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1185,f261]) ).
fof(f1411,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ64_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1185,f277]) ).
fof(f1412,definition,
! [X0] :
( sQ191_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1413,plain,
! [X0] :
( ~ sQ191_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1412]) ).
fof(f1415,plain,
( ~ sQ54_spl
| ~ sQ64_spl
| sQ130_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1410,f1412,f643,f292,f260]) ).
fof(f1416,definition,
! [X0] :
( sQ192_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1417,plain,
! [X0] :
( ~ sQ192_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1416]) ).
fof(f1419,plain,
( ~ sQ59_spl
| ~ sQ64_spl
| sQ130_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1411,f1416,f643,f292,f276]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ67_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1074,f404]) ).
fof(f1421,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ67_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1074,f255]) ).
fof(f1422,definition,
! [X0] :
( sQ193_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1423,plain,
! [X0] :
( ~ sQ193_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1422]) ).
fof(f1425,plain,
( ~ sQ97_spl
| ~ sQ67_spl
| sQ149_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1420,f1422,f846,f302,f403]) ).
fof(f1426,definition,
! [X0] :
( sQ194_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1427,plain,
! [X0] :
( ~ sQ194_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f1426]) ).
fof(f1429,definition,
( sQ195_spl
<=> equalish(e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1430,plain,
( ~ sQ195_spl
| equalish(e_2,e_5) ),
inference(component_clause,[status(thm)],[f1429]) ).
fof(f1432,plain,
( ~ sQ52_spl
| ~ sQ67_spl
| sQ195_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1421,f1426,f1429,f302,f254]) ).
fof(f1433,plain,
( ~ sQ195_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1430,f44]) ).
fof(f1434,plain,
~ sQ195_spl,
inference(contradiction_clause,[status(thm)],[f1433]) ).
fof(f1435,plain,
( ~ sQ96_spl
| ~ sQ193_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f1423,f401]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ46_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f723,f401]) ).
fof(f1437,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ46_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f723,f252]) ).
fof(f1438,definition,
! [X0] :
( sQ196_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1439,plain,
! [X0] :
( ~ sQ196_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1438]) ).
fof(f1441,plain,
( ~ sQ96_spl
| ~ sQ46_spl
| sQ134_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1436,f1438,f764,f230,f400]) ).
fof(f1442,definition,
! [X0] :
( sQ197_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ197_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1442]) ).
fof(f1445,plain,
( ~ sQ51_spl
| ~ sQ46_spl
| sQ163_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1437,f1442,f1115,f230,f251]) ).
fof(f1446,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ31_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f943,f252]) ).
fof(f1447,definition,
! [X0] :
( sQ198_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1448,plain,
! [X0] :
( ~ sQ198_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1447]) ).
fof(f1450,definition,
( sQ199_spl
<=> equalish(e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1451,plain,
( ~ sQ199_spl
| equalish(e_4,e_5) ),
inference(component_clause,[status(thm)],[f1450]) ).
fof(f1453,plain,
( ~ sQ51_spl
| ~ sQ31_spl
| sQ199_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1446,f1447,f1450,f182,f251]) ).
fof(f1454,plain,
( ~ sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1451,f52]) ).
fof(f1455,plain,
~ sQ199_spl,
inference(contradiction_clause,[status(thm)],[f1454]) ).
fof(f1456,plain,
( ~ sQ96_spl
| ~ sQ95_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f398,f1381]) ).
fof(f1457,plain,
( ~ sQ70_spl
| ~ sQ95_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f398,f1059]) ).
fof(f1458,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ95_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f398,f1025]) ).
fof(f1459,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ95_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f398,f1026]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ95_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f398,f1328]) ).
fof(f1461,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ95_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f398,f1327]) ).
fof(f1462,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ95_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f398,f750]) ).
fof(f1463,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ95_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f398,f749]) ).
fof(f1464,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ95_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f398,f635]) ).
fof(f1465,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ95_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f398,f636]) ).
fof(f1466,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ95_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f398,f1062]) ).
fof(f1467,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ95_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f398,f1063]) ).
fof(f1468,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ95_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f398,f591]) ).
fof(f1469,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ95_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f398,f592]) ).
fof(f1470,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f398,f63]) ).
fof(f1471,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f398,f61]) ).
fof(f1472,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f398,f59]) ).
fof(f1473,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f398,f67]) ).
fof(f1474,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f398,f65]) ).
fof(f1475,plain,
( ~ sQ96_spl
| ~ sQ95_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f1456,f846,f397,f400]) ).
fof(f1476,plain,
( ~ sQ70_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1457,f46]) ).
fof(f1477,plain,
( ~ sQ70_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f1476]) ).
fof(f1478,plain,
( ~ sQ190_spl
| ~ sQ94_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f394,f1407]) ).
fof(f1479,plain,
( ~ sQ189_spl
| ~ sQ94_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f394,f1403]) ).
fof(f1480,plain,
( ~ sQ176_spl
| ~ sQ94_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f394,f1205]) ).
fof(f1481,plain,
( ~ sQ155_spl
| ~ sQ94_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f394,f1013]) ).
fof(f1482,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ94_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f394,f908]) ).
fof(f1484,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f394,f63]) ).
fof(f1485,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f394,f61]) ).
fof(f1486,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f394,f59]) ).
fof(f1487,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f394,f67]) ).
fof(f1488,plain,
! [X0,X1,X2] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f394,f65]) ).
fof(f1489,definition,
! [X0] :
( sQ200_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1490,plain,
! [X0] :
( ~ sQ200_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1489]) ).
fof(f1492,plain,
( ~ sQ34_spl
| ~ sQ94_spl
| sQ134_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1482,f1489,f764,f393,f191]) ).
fof(f1494,plain,
( ~ sQ13_spl
| ~ sQ150_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f120,f884]) ).
fof(f1495,plain,
( ~ sQ13_spl
| ~ sQ150_spl ),
inference(contradiction_clause,[status(thm)],[f1494]) ).
fof(f1496,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1487,f394]) ).
fof(f1497,definition,
! [X0] :
( sQ201_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1498,plain,
! [X0] :
( ~ sQ201_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1497]) ).
fof(f1500,plain,
( ~ sQ94_spl
| sQ128_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1496,f1497,f553,f393]) ).
fof(f1501,plain,
! [X0] :
( ~ sQ201_spl
| ~ product(X0,e_2,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f1498]) ).
fof(f1502,plain,
( ~ sQ93_spl
| ~ sQ97_spl
| ~ sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f391,f1387]) ).
fof(f1503,plain,
( ~ sQ93_spl
| ~ sQ97_spl
| ~ sQ162_spl ),
inference(contradiction_clause,[status(thm)],[f1502]) ).
fof(f1504,plain,
( ~ sQ98_spl
| ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f407,f835]) ).
fof(f1505,plain,
( ~ sQ98_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f1504]) ).
fof(f1506,plain,
( ~ sQ194_spl
| ~ sQ92_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f388,f1427]) ).
fof(f1507,plain,
( ~ sQ181_spl
| ~ sQ92_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f388,f1263]) ).
fof(f1508,plain,
( ~ sQ161_spl
| ~ sQ92_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f388,f1107]) ).
fof(f1509,plain,
( ~ sQ166_spl
| ~ sQ92_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f388,f1135]) ).
fof(f1510,plain,
( ~ sQ173_spl
| ~ sQ92_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f388,f1176]) ).
fof(f1511,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ92_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f388,f1343]) ).
fof(f1512,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ92_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f388,f1342]) ).
fof(f1513,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f388,f63]) ).
fof(f1514,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f388,f61]) ).
fof(f1515,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f388,f59]) ).
fof(f1516,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f388,f67]) ).
fof(f1517,plain,
! [X0,X1,X2] :
( ~ sQ92_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f388,f65]) ).
fof(f1518,definition,
! [X0] :
( sQ202_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ202_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1518]) ).
fof(f1521,definition,
( sQ203_spl
<=> equalish(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1522,plain,
( ~ sQ203_spl
| equalish(e_3,e_2) ),
inference(component_clause,[status(thm)],[f1521]) ).
fof(f1524,plain,
( ~ sQ52_spl
| ~ sQ92_spl
| sQ203_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1511,f1518,f1521,f387,f254]) ).
fof(f1525,plain,
( ~ sQ52_spl
| ~ sQ92_spl
| sQ167_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1512,f1518,f1137,f387,f254]) ).
fof(f1526,plain,
( ~ sQ203_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1522,f46]) ).
fof(f1527,plain,
~ sQ203_spl,
inference(contradiction_clause,[status(thm)],[f1526]) ).
fof(f1528,plain,
( ~ sQ91_spl
| ~ sQ201_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f385,f1501]) ).
fof(f1529,plain,
( ~ sQ91_spl
| ~ sQ201_spl ),
inference(contradiction_clause,[status(thm)],[f1528]) ).
fof(f1530,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ90_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f382,f1328]) ).
fof(f1531,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ90_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f382,f1327]) ).
fof(f1532,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ90_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f382,f635]) ).
fof(f1533,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ90_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f382,f636]) ).
fof(f1534,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f382,f63]) ).
fof(f1535,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f382,f61]) ).
fof(f1536,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f382,f59]) ).
fof(f1537,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f382,f67]) ).
fof(f1538,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f382,f65]) ).
fof(f1539,definition,
! [X0] :
( sQ204_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1540,plain,
! [X0] :
( ~ sQ204_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1539]) ).
fof(f1542,plain,
( ~ sQ55_spl
| ~ sQ90_spl
| sQ203_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1530,f1539,f1521,f381,f264]) ).
fof(f1543,plain,
( ~ sQ55_spl
| ~ sQ90_spl
| sQ134_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1531,f1539,f764,f381,f264]) ).
fof(f1544,definition,
! [X0] :
( sQ205_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1545,plain,
! [X0] :
( ~ sQ205_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1544]) ).
fof(f1547,plain,
( ~ sQ10_spl
| ~ sQ90_spl
| sQ203_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1532,f1544,f1521,f381,f110]) ).
fof(f1548,plain,
( ~ sQ10_spl
| ~ sQ90_spl
| sQ167_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1533,f1544,f1137,f381,f110]) ).
fof(f1549,plain,
( ~ sQ184_spl
| ~ sQ89_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f378,f1304]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f378,f63]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f378,f61]) ).
fof(f1552,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f378,f59]) ).
fof(f1553,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f378,f67]) ).
fof(f1554,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f378,f65]) ).
fof(f1555,plain,
! [X0] :
( ~ sQ63_spl
| ~ sQ88_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f375,f1202]) ).
fof(f1556,plain,
! [X0] :
( ~ sQ63_spl
| ~ sQ88_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f375,f1203]) ).
fof(f1557,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f375,f63]) ).
fof(f1558,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f375,f61]) ).
fof(f1559,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f375,f59]) ).
fof(f1560,plain,
! [X0,X1,X2] :
( ~ sQ88_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f375,f67]) ).
fof(f1561,plain,
! [X0,X1,X2] :
( ~ sQ88_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f375,f65]) ).
fof(f1562,definition,
! [X0] :
( sQ206_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1563,plain,
! [X0] :
( ~ sQ206_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1562]) ).
fof(f1565,plain,
( ~ sQ63_spl
| ~ sQ88_spl
| sQ130_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f1555,f1562,f643,f374,f289]) ).
fof(f1566,plain,
( ~ sQ63_spl
| ~ sQ88_spl
| sQ203_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f1556,f1562,f1521,f374,f289]) ).
fof(f1567,plain,
( ~ sQ191_spl
| ~ sQ87_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f372,f1413]) ).
fof(f1568,plain,
( ~ sQ192_spl
| ~ sQ87_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f372,f1417]) ).
fof(f1569,plain,
( ~ sQ178_spl
| ~ sQ87_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f372,f1236]) ).
fof(f1570,plain,
( ~ sQ179_spl
| ~ sQ87_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f372,f1241]) ).
fof(f1571,plain,
( ~ sQ174_spl
| ~ sQ87_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f372,f1187]) ).
fof(f1572,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f372,f63]) ).
fof(f1573,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f372,f61]) ).
fof(f1574,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f372,f59]) ).
fof(f1575,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f372,f67]) ).
fof(f1576,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f372,f65]) ).
fof(f1577,plain,
( ~ sQ179_spl
| ~ sQ87_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1570,f378]) ).
fof(f1578,plain,
( ~ sQ179_spl
| ~ sQ87_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1577]) ).
fof(f1579,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ86_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f369,f532]) ).
fof(f1580,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ86_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f369,f531]) ).
fof(f1581,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f369,f63]) ).
fof(f1582,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f369,f61]) ).
fof(f1583,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f369,f59]) ).
fof(f1584,plain,
! [X0,X1,X2] :
( ~ sQ86_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f369,f67]) ).
fof(f1585,plain,
! [X0,X1,X2] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f369,f65]) ).
fof(f1586,definition,
! [X0] :
( sQ207_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1587,plain,
! [X0] :
( ~ sQ207_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1586]) ).
fof(f1589,plain,
( ~ sQ21_spl
| ~ sQ86_spl
| sQ167_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1579,f1586,f1137,f368,f145]) ).
fof(f1590,plain,
( ~ sQ21_spl
| ~ sQ86_spl
| sQ144_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1580,f1586,f820,f368,f145]) ).
fof(f1591,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f366,f63]) ).
fof(f1592,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f366,f61]) ).
fof(f1593,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f366,f59]) ).
fof(f1594,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f366,f67]) ).
fof(f1595,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f366,f65]) ).
fof(f1596,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f362,f63]) ).
fof(f1597,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f362,f61]) ).
fof(f1598,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f362,f59]) ).
fof(f1599,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f362,f67]) ).
fof(f1600,plain,
! [X0,X1,X2] :
( ~ sQ84_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f362,f65]) ).
fof(f1601,plain,
( ~ sQ198_spl
| ~ sQ83_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f359,f1448]) ).
fof(f1602,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f359,f63]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f359,f61]) ).
fof(f1604,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f359,f59]) ).
fof(f1605,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f359,f67]) ).
fof(f1606,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f359,f65]) ).
fof(f1607,plain,
( ~ sQ185_spl
| ~ sQ82_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f356,f1308]) ).
fof(f1608,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f356,f63]) ).
fof(f1609,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f356,f61]) ).
fof(f1610,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f356,f59]) ).
fof(f1611,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f356,f67]) ).
fof(f1612,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f356,f65]) ).
fof(f1613,plain,
( ~ sQ185_spl
| ~ sQ82_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1607,f362]) ).
fof(f1614,plain,
( ~ sQ185_spl
| ~ sQ82_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f1613]) ).
fof(f1615,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f353,f63]) ).
fof(f1616,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f353,f61]) ).
fof(f1617,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f353,f59]) ).
fof(f1618,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f353,f67]) ).
fof(f1619,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f353,f65]) ).
fof(f1620,plain,
( ~ sQ30_spl
| ~ sQ80_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f350,f953]) ).
fof(f1621,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f350,f63]) ).
fof(f1622,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f350,f61]) ).
fof(f1623,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f350,f59]) ).
fof(f1624,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f350,f67]) ).
fof(f1625,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f350,f65]) ).
fof(f1626,plain,
( ~ sQ30_spl
| ~ sQ80_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1620,f764,f349,f179]) ).
fof(f1627,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f346,f63]) ).
fof(f1628,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f346,f61]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f346,f59]) ).
fof(f1630,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f346,f67]) ).
fof(f1631,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f346,f65]) ).
fof(f1632,plain,
( ~ sQ153_spl
| ~ sQ99_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1356,f359]) ).
fof(f1633,plain,
( ~ sQ153_spl
| ~ sQ99_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f1632]) ).
fof(f1634,plain,
( ~ sQ192_spl
| ~ sQ87_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1568,f356]) ).
fof(f1635,plain,
( ~ sQ192_spl
| ~ sQ87_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f1634]) ).
fof(f1636,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ19_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f548,f346]) ).
fof(f1637,definition,
! [X0] :
( sQ208_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1638,plain,
! [X0] :
( ~ sQ208_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1637]) ).
fof(f1640,plain,
( ~ sQ79_spl
| ~ sQ19_spl
| sQ167_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1636,f1637,f1137,f138,f345]) ).
fof(f1641,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ19_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f547,f346]) ).
fof(f1642,plain,
( ~ sQ79_spl
| ~ sQ19_spl
| sQ195_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1641,f1637,f1429,f138,f345]) ).
fof(f1644,definition,
! [X0] :
( sQ209_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ209_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1644]) ).
fof(f1648,plain,
( ~ sQ97_spl
| ~ sQ157_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1388,f361,f1039,f403]) ).
fof(f1649,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ58_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1286,f359]) ).
fof(f1650,definition,
! [X0] :
( sQ210_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1651,plain,
! [X0] :
( ~ sQ210_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1650]) ).
fof(f1653,plain,
( ~ sQ83_spl
| ~ sQ58_spl
| sQ132_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1649,f1650,f657,f273,f358]) ).
fof(f1654,plain,
( ~ sQ81_spl
| ~ sQ210_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1651,f353]) ).
fof(f1655,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ20_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f541,f350]) ).
fof(f1656,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ20_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f541,f366]) ).
fof(f1657,definition,
! [X0] :
( sQ211_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1658,plain,
! [X0] :
( ~ sQ211_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1657]) ).
fof(f1660,plain,
( ~ sQ80_spl
| ~ sQ20_spl
| sQ167_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1655,f1657,f1137,f142,f349]) ).
fof(f1661,plain,
( ~ sQ85_spl
| ~ sQ20_spl
| sQ167_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1656,f1586,f1137,f142,f365]) ).
fof(f1662,plain,
( ~ sQ82_spl
| ~ sQ184_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f356,f1549]) ).
fof(f1663,plain,
( ~ sQ82_spl
| ~ sQ184_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1662]) ).
fof(f1664,plain,
( ~ sQ84_spl
| ~ sQ135_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f362,f1363]) ).
fof(f1665,plain,
( ~ sQ84_spl
| ~ sQ135_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f1664]) ).
fof(f1666,definition,
! [X0] :
( sQ212_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1667,plain,
! [X0] :
( ~ sQ212_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1666]) ).
fof(f1669,plain,
( ~ sQ40_spl
| ~ sQ95_spl
| sQ134_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f1462,f1666,f764,f397,f211]) ).
fof(f1670,plain,
( ~ sQ40_spl
| ~ sQ95_spl
| sQ149_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f1463,f1666,f846,f397,f211]) ).
fof(f1671,definition,
! [X0] :
( sQ213_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1672,plain,
! [X0] :
( ~ sQ213_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1671]) ).
fof(f1674,plain,
( ~ sQ15_spl
| ~ sQ95_spl
| sQ149_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1468,f1671,f846,f397,f126]) ).
fof(f1675,plain,
( ~ sQ15_spl
| ~ sQ95_spl
| sQ167_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1469,f1671,f1137,f397,f126]) ).
fof(f1676,definition,
! [X0] :
( sQ214_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1677,plain,
! [X0] :
( ~ sQ214_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1676]) ).
fof(f1679,plain,
( ~ sQ15_spl
| ~ sQ35_spl
| sQ177_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f891,f1676,f1208,f195,f126]) ).
fof(f1680,plain,
( ~ sQ15_spl
| ~ sQ35_spl
| sQ140_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f892,f1676,f799,f195,f126]) ).
fof(f1681,plain,
( ~ sQ97_spl
| ~ sQ165_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f1386,f374,f1127,f403]) ).
fof(f1682,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1594,f366]) ).
fof(f1683,definition,
! [X0] :
( sQ215_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1684,plain,
! [X0] :
( ~ sQ215_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f1683]) ).
fof(f1686,plain,
( ~ sQ85_spl
| sQ130_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f1682,f1683,f643,f365]) ).
fof(f1687,plain,
! [X0] :
( ~ sQ215_spl
| ~ product(X0,e_3,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f1684]) ).
fof(f1688,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1618,f353]) ).
fof(f1689,definition,
! [X0] :
( sQ216_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1690,plain,
! [X0] :
( ~ sQ216_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f1689]) ).
fof(f1692,plain,
( ~ sQ81_spl
| sQ132_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f1688,f1689,f657,f352]) ).
fof(f1693,plain,
! [X0] :
( ~ sQ216_spl
| ~ product(X0,e_4,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f1690]) ).
fof(f1694,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ78_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f343,f712]) ).
fof(f1695,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ78_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f343,f713]) ).
fof(f1696,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ78_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f343,f668]) ).
fof(f1697,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ78_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f343,f669]) ).
fof(f1698,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ78_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f343,f611]) ).
fof(f1699,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ78_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f343,f612]) ).
fof(f1700,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f343,f63]) ).
fof(f1701,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f343,f61]) ).
fof(f1702,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_4,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f343,f59]) ).
fof(f1703,plain,
! [X0,X1,X2] :
( ~ sQ78_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f343,f67]) ).
fof(f1704,plain,
! [X0,X1,X2] :
( ~ sQ78_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f343,f65]) ).
fof(f1705,definition,
! [X0] :
( sQ217_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1706,plain,
! [X0] :
( ~ sQ217_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1705]) ).
fof(f1708,plain,
( ~ sQ48_spl
| ~ sQ78_spl
| sQ188_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f1694,f1705,f1394,f342,f236]) ).
fof(f1709,plain,
( ~ sQ48_spl
| ~ sQ78_spl
| sQ134_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f1695,f1705,f764,f342,f236]) ).
fof(f1710,definition,
! [X0] :
( sQ218_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1711,plain,
! [X0] :
( ~ sQ218_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1710]) ).
fof(f1713,plain,
( ~ sQ8_spl
| ~ sQ78_spl
| sQ199_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1696,f1710,f1450,f342,f103]) ).
fof(f1714,plain,
( ~ sQ8_spl
| ~ sQ78_spl
| sQ167_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1697,f1710,f1137,f342,f103]) ).
fof(f1715,definition,
! [X0] :
( sQ219_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1716,plain,
! [X0] :
( ~ sQ219_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1715]) ).
fof(f1718,definition,
( sQ220_spl
<=> equalish(e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1719,plain,
( ~ sQ220_spl
| equalish(e_3,e_5) ),
inference(component_clause,[status(thm)],[f1718]) ).
fof(f1721,plain,
( ~ sQ13_spl
| ~ sQ78_spl
| sQ220_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f1698,f1715,f1718,f342,f119]) ).
fof(f1722,plain,
( ~ sQ13_spl
| ~ sQ78_spl
| sQ167_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f1699,f1715,f1137,f342,f119]) ).
fof(f1723,plain,
( ~ sQ220_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1719,f48]) ).
fof(f1724,plain,
~ sQ220_spl,
inference(contradiction_clause,[status(thm)],[f1723]) ).
fof(f1725,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f340,f63]) ).
fof(f1726,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f340,f61]) ).
fof(f1727,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f340,f59]) ).
fof(f1728,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f340,f67]) ).
fof(f1729,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f340,f65]) ).
fof(f1730,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ76_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f337,f1382]) ).
fof(f1731,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ76_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f337,f1383]) ).
fof(f1732,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ76_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f337,f878]) ).
fof(f1733,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ76_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f337,f877]) ).
fof(f1734,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ76_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f337,f532]) ).
fof(f1735,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ76_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f337,f531]) ).
fof(f1736,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ76_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f337,f1318]) ).
fof(f1737,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ76_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f337,f1317]) ).
fof(f1738,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ76_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f337,f943]) ).
fof(f1739,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ76_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f337,f944]) ).
fof(f1740,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f337,f63]) ).
fof(f1741,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f337,f61]) ).
fof(f1742,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f337,f59]) ).
fof(f1743,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f337,f67]) ).
fof(f1744,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f337,f65]) ).
fof(f1745,definition,
! [X0] :
( sQ221_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1746,plain,
! [X0] :
( ~ sQ221_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1745]) ).
fof(f1748,plain,
( ~ sQ96_spl
| ~ sQ76_spl
| sQ188_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1730,f1745,f1394,f336,f400]) ).
fof(f1749,plain,
( ~ sQ96_spl
| ~ sQ76_spl
| sQ128_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1731,f1745,f553,f336,f400]) ).
fof(f1750,definition,
! [X0] :
( sQ222_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ222_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1750]) ).
fof(f1753,plain,
( ~ sQ36_spl
| ~ sQ76_spl
| sQ134_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f1732,f1750,f764,f336,f198]) ).
fof(f1754,plain,
( ~ sQ36_spl
| ~ sQ76_spl
| sQ220_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f1733,f1750,f1718,f336,f198]) ).
fof(f1755,definition,
! [X0] :
( sQ223_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1756,plain,
! [X0] :
( ~ sQ223_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1755]) ).
fof(f1758,plain,
( ~ sQ21_spl
| ~ sQ76_spl
| sQ167_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f1734,f1755,f1137,f336,f145]) ).
fof(f1759,plain,
( ~ sQ21_spl
| ~ sQ76_spl
| sQ188_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f1735,f1755,f1394,f336,f145]) ).
fof(f1760,definition,
! [X0] :
( sQ224_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1761,plain,
! [X0] :
( ~ sQ224_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1760]) ).
fof(f1763,plain,
( ~ sQ56_spl
| ~ sQ76_spl
| sQ203_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f1736,f1760,f1521,f336,f267]) ).
fof(f1764,plain,
( ~ sQ56_spl
| ~ sQ76_spl
| sQ199_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f1737,f1760,f1450,f336,f267]) ).
fof(f1765,definition,
! [X0] :
( sQ225_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1766,plain,
! [X0] :
( ~ sQ225_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1765]) ).
fof(f1768,plain,
( ~ sQ31_spl
| ~ sQ76_spl
| sQ199_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f1738,f1765,f1450,f336,f182]) ).
fof(f1769,plain,
( ~ sQ31_spl
| ~ sQ76_spl
| sQ134_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f1739,f1765,f764,f336,f182]) ).
fof(f1770,plain,
( ~ sQ97_spl
| ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f404,f1163]) ).
fof(f1771,plain,
( ~ sQ97_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f1770]) ).
fof(f1772,plain,
( ~ sQ11_spl
| ~ sQ215_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f114,f1687]) ).
fof(f1773,plain,
( ~ sQ11_spl
| ~ sQ215_spl ),
inference(contradiction_clause,[status(thm)],[f1772]) ).
fof(f1774,plain,
( ~ sQ6_spl
| ~ sQ216_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f98,f1693]) ).
fof(f1775,plain,
( ~ sQ6_spl
| ~ sQ216_spl ),
inference(contradiction_clause,[status(thm)],[f1774]) ).
fof(f1776,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ75_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f334,f750]) ).
fof(f1777,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ75_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f334,f749]) ).
fof(f1778,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f334,f63]) ).
fof(f1779,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f334,f61]) ).
fof(f1780,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f334,f59]) ).
fof(f1781,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f334,f67]) ).
fof(f1782,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f334,f65]) ).
fof(f1783,definition,
! [X0] :
( sQ226_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1784,plain,
! [X0] :
( ~ sQ226_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1783]) ).
fof(f1786,plain,
( ~ sQ40_spl
| ~ sQ75_spl
| sQ134_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f1776,f1783,f764,f333,f211]) ).
fof(f1787,plain,
( ~ sQ40_spl
| ~ sQ75_spl
| sQ195_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f1777,f1783,f1429,f333,f211]) ).
fof(f1788,plain,
( ~ sQ139_spl
| ~ sQ124_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f495,f797]) ).
fof(f1789,plain,
( ~ sQ187_spl
| ~ sQ124_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f495,f1392]) ).
fof(f1790,plain,
( ~ sQ182_spl
| ~ sQ124_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f495,f1270]) ).
fof(f1791,plain,
( ~ sQ159_spl
| ~ sQ124_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f495,f1094]) ).
fof(f1792,plain,
( ~ sQ153_spl
| ~ sQ124_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f495,f1003]) ).
fof(f1793,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ124_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f495,f1185]) ).
fof(f1795,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ124_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f495,f1333]) ).
fof(f1796,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ124_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f495,f1332]) ).
fof(f1797,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ124_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f495,f1280]) ).
fof(f1798,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ124_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f495,f1279]) ).
fof(f1799,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ124_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f495,f968]) ).
fof(f1800,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ124_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f495,f969]) ).
fof(f1801,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f495,f63]) ).
fof(f1802,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f495,f61]) ).
fof(f1803,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f495,f59]) ).
fof(f1804,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f495,f67]) ).
fof(f1805,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f495,f65]) ).
fof(f1806,definition,
! [X0] :
( sQ227_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1807,plain,
! [X0] :
( ~ sQ227_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1806]) ).
fof(f1809,definition,
( sQ228_spl
<=> equalish(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1810,plain,
( ~ sQ228_spl
| equalish(e_3,e_1) ),
inference(component_clause,[status(thm)],[f1809]) ).
fof(f1812,plain,
( ~ sQ64_spl
| ~ sQ124_spl
| sQ228_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f1793,f1806,f1809,f494,f292]) ).
fof(f1814,definition,
! [X0] :
( sQ229_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1815,plain,
! [X0] :
( ~ sQ229_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1814]) ).
fof(f1817,plain,
( ~ sQ54_spl
| ~ sQ124_spl
| sQ228_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f1795,f1814,f1809,f494,f260]) ).
fof(f1818,plain,
( ~ sQ54_spl
| ~ sQ124_spl
| sQ169_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f1796,f1814,f1144,f494,f260]) ).
fof(f1819,definition,
! [X0] :
( sQ230_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1820,plain,
! [X0] :
( ~ sQ230_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1819]) ).
fof(f1822,plain,
( ~ sQ59_spl
| ~ sQ124_spl
| sQ228_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f1797,f1819,f1809,f494,f276]) ).
fof(f1823,plain,
( ~ sQ59_spl
| ~ sQ124_spl
| sQ136_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f1798,f1819,f771,f494,f276]) ).
fof(f1824,definition,
! [X0] :
( sQ231_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1825,plain,
! [X0] :
( ~ sQ231_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1824]) ).
fof(f1827,plain,
( ~ sQ29_spl
| ~ sQ124_spl
| sQ169_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f1799,f1824,f1144,f494,f175]) ).
fof(f1828,plain,
( ~ sQ29_spl
| ~ sQ124_spl
| sQ136_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f1800,f1824,f771,f494,f175]) ).
fof(f1829,plain,
( ~ sQ228_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1810,f45]) ).
fof(f1830,plain,
~ sQ228_spl,
inference(contradiction_clause,[status(thm)],[f1829]) ).
fof(f1831,plain,
( ~ sQ145_spl
| ~ sQ123_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f492,f825]) ).
fof(f1832,plain,
( ~ sQ142_spl
| ~ sQ123_spl
| ~ product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f492,f808]) ).
fof(f1833,plain,
( ~ sQ135_spl
| ~ sQ123_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f492,f769]) ).
fof(f1834,plain,
( ~ sQ180_spl
| ~ sQ123_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f492,f1246]) ).
fof(f1835,plain,
( ~ sQ197_spl
| ~ sQ123_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f492,f1443]) ).
fof(f1836,plain,
( ~ sQ143_spl
| ~ sQ123_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f492,f818]) ).
fof(f1837,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f492,f63]) ).
fof(f1838,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f492,f61]) ).
fof(f1839,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f492,f59]) ).
fof(f1840,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f492,f67]) ).
fof(f1841,plain,
! [X0,X1,X2] :
( ~ sQ123_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f492,f65]) ).
fof(f1842,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f489,f63]) ).
fof(f1843,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f489,f61]) ).
fof(f1844,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f489,f59]) ).
fof(f1845,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f489,f67]) ).
fof(f1846,plain,
! [X0,X1,X2] :
( ~ sQ122_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f489,f65]) ).
fof(f1847,plain,
( ~ sQ212_spl
| ~ sQ121_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f486,f1667]) ).
fof(f1848,plain,
( ~ sQ213_spl
| ~ sQ121_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f486,f1672]) ).
fof(f1849,plain,
( ~ sQ196_spl
| ~ sQ121_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f486,f1439]) ).
fof(f1850,plain,
( ~ sQ193_spl
| ~ sQ121_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f486,f1423]) ).
fof(f1851,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ121_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f486,f878]) ).
fof(f1852,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ121_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f486,f877]) ).
fof(f1853,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f486,f63]) ).
fof(f1854,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f486,f61]) ).
fof(f1855,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f486,f59]) ).
fof(f1856,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f486,f67]) ).
fof(f1857,plain,
! [X0,X1,X2] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f486,f65]) ).
fof(f1858,plain,
( ~ sQ196_spl
| ~ sQ121_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1849,f492]) ).
fof(f1859,plain,
( ~ sQ196_spl
| ~ sQ121_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f1858]) ).
fof(f1860,plain,
( ~ sQ70_spl
| ~ sQ120_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f483,f1059]) ).
fof(f1861,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f483,f63]) ).
fof(f1862,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f483,f61]) ).
fof(f1863,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_1,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f483,f59]) ).
fof(f1864,plain,
! [X0,X1,X2] :
( ~ sQ120_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f483,f67]) ).
fof(f1865,plain,
! [X0,X1,X2] :
( ~ sQ120_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f483,f65]) ).
fof(f1866,plain,
( ~ sQ70_spl
| ~ sQ120_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1860,f1809,f482,f312]) ).
fof(f1867,plain,
( ~ sQ214_spl
| ~ sQ119_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f479,f1677]) ).
fof(f1868,plain,
( ~ sQ208_spl
| ~ sQ119_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f479,f1638]) ).
fof(f1869,plain,
( ~ sQ190_spl
| ~ sQ119_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f479,f1407]) ).
fof(f1870,plain,
( ~ sQ189_spl
| ~ sQ119_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f479,f1403]) ).
fof(f1871,plain,
( ~ sQ176_spl
| ~ sQ119_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f479,f1205]) ).
fof(f1872,plain,
( ~ sQ155_spl
| ~ sQ119_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f479,f1013]) ).
fof(f1873,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f479,f63]) ).
fof(f1874,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f479,f61]) ).
fof(f1875,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f479,f59]) ).
fof(f1876,plain,
! [X0,X1,X2] :
( ~ sQ119_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f479,f67]) ).
fof(f1877,plain,
! [X0,X1,X2] :
( ~ sQ119_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f479,f65]) ).
fof(f1879,plain,
( ~ sQ133_spl
| ~ sQ118_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f476,f762]) ).
fof(f1880,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f476,f63]) ).
fof(f1881,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f476,f61]) ).
fof(f1882,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f476,f59]) ).
fof(f1883,plain,
! [X0,X1,X2] :
( ~ sQ118_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f476,f67]) ).
fof(f1884,plain,
! [X0,X1,X2] :
( ~ sQ118_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f476,f65]) ).
fof(f1885,plain,
( ~ sQ164_spl
| ~ sQ117_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f473,f1124]) ).
fof(f1886,plain,
( ~ sQ194_spl
| ~ sQ117_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f473,f1427]) ).
fof(f1887,plain,
( ~ sQ181_spl
| ~ sQ117_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f473,f1263]) ).
fof(f1888,plain,
( ~ sQ161_spl
| ~ sQ117_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f473,f1107]) ).
fof(f1889,plain,
( ~ sQ166_spl
| ~ sQ117_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f473,f1135]) ).
fof(f1890,plain,
( ~ sQ173_spl
| ~ sQ117_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f473,f1176]) ).
fof(f1891,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f473,f63]) ).
fof(f1892,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f473,f61]) ).
fof(f1893,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_3,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f473,f59]) ).
fof(f1894,plain,
! [X0,X1,X2] :
( ~ sQ117_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f473,f67]) ).
fof(f1895,plain,
! [X0,X1,X2] :
( ~ sQ117_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f473,f65]) ).
fof(f1896,plain,
( ~ sQ161_spl
| ~ sQ117_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1888,f476]) ).
fof(f1897,plain,
( ~ sQ161_spl
| ~ sQ117_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f1896]) ).
fof(f1898,plain,
( ~ sQ204_spl
| ~ sQ116_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f470,f1540]) ).
fof(f1899,plain,
( ~ sQ205_spl
| ~ sQ116_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f470,f1545]) ).
fof(f1900,plain,
( ~ sQ202_spl
| ~ sQ116_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f470,f1519]) ).
fof(f1901,plain,
( ~ sQ200_spl
| ~ sQ116_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f470,f1490]) ).
fof(f1902,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ116_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f470,f878]) ).
fof(f1903,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ116_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f470,f877]) ).
fof(f1904,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f470,f63]) ).
fof(f1905,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f470,f61]) ).
fof(f1906,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f470,f59]) ).
fof(f1907,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f470,f67]) ).
fof(f1908,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f470,f65]) ).
fof(f1909,definition,
! [X0] :
( sQ232_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1910,plain,
! [X0] :
( ~ sQ232_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1909]) ).
fof(f1912,plain,
( ~ sQ36_spl
| ~ sQ116_spl
| sQ136_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f1902,f1909,f771,f469,f198]) ).
fof(f1913,plain,
( ~ sQ36_spl
| ~ sQ116_spl
| sQ203_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f1903,f1909,f1521,f469,f198]) ).
fof(f1914,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f467,f63]) ).
fof(f1915,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f467,f61]) ).
fof(f1916,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f467,f59]) ).
fof(f1917,plain,
! [X0,X1,X2] :
( ~ sQ115_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f467,f67]) ).
fof(f1918,plain,
! [X0,X1,X2] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f467,f65]) ).
fof(f1919,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f463,f63]) ).
fof(f1920,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f463,f61]) ).
fof(f1921,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f463,f59]) ).
fof(f1922,plain,
! [X0,X1,X2] :
( ~ sQ114_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f463,f67]) ).
fof(f1923,plain,
! [X0,X1,X2] :
( ~ sQ114_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f463,f65]) ).
fof(f1924,plain,
( ~ sQ114_spl
| ~ sQ219_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f1716,f463]) ).
fof(f1925,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ77_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1728,f473]) ).
fof(f1926,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ77_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1728,f489]) ).
fof(f1927,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1728,f340]) ).
fof(f1928,definition,
! [X0] :
( sQ233_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1929,plain,
! [X0] :
( ~ sQ233_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1928]) ).
fof(f1931,plain,
( ~ sQ117_spl
| ~ sQ77_spl
| sQ167_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f1925,f1928,f1137,f339,f472]) ).
fof(f1932,definition,
! [X0] :
( sQ234_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1933,plain,
! [X0] :
( ~ sQ234_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1932]) ).
fof(f1935,plain,
( ~ sQ122_spl
| ~ sQ77_spl
| sQ169_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f1926,f1932,f1144,f339,f488]) ).
fof(f1936,definition,
! [X0] :
( sQ235_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1937,plain,
! [X0] :
( ~ sQ235_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f1936]) ).
fof(f1939,plain,
( ~ sQ77_spl
| sQ138_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f1927,f1936,f786,f339]) ).
fof(f1940,plain,
! [X0] :
( ~ sQ235_spl
| ~ product(X0,e_5,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f1937]) ).
fof(f1941,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ32_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f933,f489]) ).
fof(f1942,definition,
! [X0] :
( sQ236_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1943,plain,
! [X0] :
( ~ sQ236_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1942]) ).
fof(f1945,plain,
( ~ sQ122_spl
| ~ sQ32_spl
| sQ136_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f1941,f1942,f771,f185,f488]) ).
fof(f1946,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ20_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f540,f467]) ).
fof(f1947,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f540,f483]) ).
fof(f1948,definition,
! [X0] :
( sQ237_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1949,plain,
! [X0] :
( ~ sQ237_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1948]) ).
fof(f1951,plain,
( ~ sQ115_spl
| ~ sQ20_spl
| sQ146_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f1946,f1948,f827,f142,f466]) ).
fof(f1952,definition,
! [X0] :
( sQ238_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1953,plain,
! [X0] :
( ~ sQ238_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1952]) ).
fof(f1955,plain,
( ~ sQ120_spl
| ~ sQ20_spl
| sQ126_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f1947,f1952,f507,f142,f482]) ).
fof(f1956,plain,
( ~ sQ213_spl
| ~ sQ121_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1848,f479]) ).
fof(f1957,plain,
( ~ sQ213_spl
| ~ sQ121_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f1956]) ).
fof(f1958,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ119_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1876,f463]) ).
fof(f1959,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1876,f479]) ).
fof(f1960,definition,
! [X0] :
( sQ239_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1961,plain,
! [X0] :
( ~ sQ239_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1960]) ).
fof(f1963,plain,
( ~ sQ114_spl
| ~ sQ119_spl
| sQ177_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f1958,f1960,f1208,f478,f462]) ).
fof(f1964,definition,
! [X0] :
( sQ240_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1965,plain,
! [X0] :
( ~ sQ240_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f1964]) ).
fof(f1967,plain,
( ~ sQ119_spl
| sQ128_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f1959,f1964,f553,f478]) ).
fof(f1968,plain,
! [X0] :
( ~ sQ240_spl
| ~ product(X0,e_2,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f1965]) ).
fof(f1969,plain,
( ~ sQ63_spl
| ~ sQ113_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f460,f1199]) ).
fof(f1970,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ113_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f460,f1286]) ).
fof(f1971,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ113_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f460,f1287]) ).
fof(f1972,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ113_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f460,f1371]) ).
fof(f1973,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ113_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f460,f1370]) ).
fof(f1974,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ113_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f460,f516]) ).
fof(f1975,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ113_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f460,f515]) ).
fof(f1976,plain,
! [X0] :
( ~ sQ63_spl
| ~ sQ113_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f460,f1202]) ).
fof(f1977,plain,
! [X0] :
( ~ sQ63_spl
| ~ sQ113_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f460,f1203]) ).
fof(f1978,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f460,f63]) ).
fof(f1979,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f460,f61]) ).
fof(f1980,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f460,f59]) ).
fof(f1981,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f460,f67]) ).
fof(f1982,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f460,f65]) ).
fof(f1983,plain,
( ~ sQ63_spl
| ~ sQ113_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1969,f1809,f459,f289]) ).
fof(f1984,definition,
! [X0] :
( sQ241_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1985,plain,
! [X0] :
( ~ sQ241_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f1984]) ).
fof(f1987,plain,
( ~ sQ58_spl
| ~ sQ113_spl
| sQ163_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f1970,f1984,f1115,f459,f273]) ).
fof(f1988,plain,
( ~ sQ58_spl
| ~ sQ113_spl
| sQ228_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f1971,f1984,f1809,f459,f273]) ).
fof(f1989,definition,
! [X0] :
( sQ242_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1990,plain,
! [X0] :
( ~ sQ242_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f1989]) ).
fof(f1992,plain,
( ~ sQ98_spl
| ~ sQ113_spl
| sQ149_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f1972,f1989,f846,f459,f406]) ).
fof(f1993,plain,
( ~ sQ98_spl
| ~ sQ113_spl
| sQ144_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f1973,f1989,f820,f459,f406]) ).
fof(f1994,definition,
! [X0] :
( sQ243_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1995,plain,
! [X0] :
( ~ sQ243_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1994]) ).
fof(f1997,plain,
( ~ sQ23_spl
| ~ sQ113_spl
| sQ169_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f1974,f1994,f1144,f459,f151]) ).
fof(f1998,plain,
( ~ sQ23_spl
| ~ sQ113_spl
| sQ144_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f1975,f1994,f820,f459,f151]) ).
fof(f1999,definition,
! [X0] :
( sQ244_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2000,plain,
! [X0] :
( ~ sQ244_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1999]) ).
fof(f2002,plain,
( ~ sQ63_spl
| ~ sQ113_spl
| sQ130_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f1976,f1999,f643,f459,f289]) ).
fof(f2003,plain,
( ~ sQ63_spl
| ~ sQ113_spl
| sQ228_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f1977,f1999,f1809,f459,f289]) ).
fof(f2004,definition,
! [X0] :
( sQ245_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2005,plain,
! [X0] :
( ~ sQ245_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f2004]) ).
fof(f2007,plain,
( ~ sQ22_spl
| ~ sQ27_spl
| sQ188_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f982,f2004,f1394,f169,f148]) ).
fof(f2008,plain,
( ~ sQ22_spl
| ~ sQ27_spl
| sQ140_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f983,f2004,f799,f169,f148]) ).
fof(f2009,plain,
( ~ sQ48_spl
| ~ sQ135_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f780,f191,f768,f236]) ).
fof(f2010,plain,
( ~ sQ26_spl
| ~ sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f167,f1940]) ).
fof(f2011,plain,
( ~ sQ26_spl
| ~ sQ235_spl ),
inference(contradiction_clause,[status(thm)],[f2010]) ).
fof(f2012,plain,
( ~ sQ191_spl
| ~ sQ112_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f457,f1413]) ).
fof(f2013,plain,
( ~ sQ178_spl
| ~ sQ112_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f457,f1236]) ).
fof(f2014,plain,
( ~ sQ179_spl
| ~ sQ112_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f457,f1241]) ).
fof(f2015,plain,
( ~ sQ174_spl
| ~ sQ112_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f457,f1187]) ).
fof(f2016,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ112_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f457,f1846]) ).
fof(f2017,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ112_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f457,f1845]) ).
fof(f2018,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f457,f63]) ).
fof(f2019,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f457,f61]) ).
fof(f2020,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f457,f59]) ).
fof(f2021,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f457,f67]) ).
fof(f2022,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f457,f65]) ).
fof(f2023,definition,
! [X0] :
( sQ246_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2024,plain,
! [X0] :
( ~ sQ246_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2023]) ).
fof(f2026,plain,
( ~ sQ122_spl
| ~ sQ112_spl
| sQ126_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2016,f2023,f507,f456,f488]) ).
fof(f2027,plain,
( ~ sQ122_spl
| ~ sQ112_spl
| sQ144_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2017,f2023,f820,f456,f488]) ).
fof(f2028,plain,
( ~ sQ86_spl
| ~ sQ111_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f454,f1581]) ).
fof(f2029,plain,
( ~ sQ206_spl
| ~ sQ111_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f454,f1563]) ).
fof(f2030,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ111_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f454,f1584]) ).
fof(f2031,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ111_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f454,f1585]) ).
fof(f2032,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ111_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f454,f744]) ).
fof(f2033,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ111_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f454,f745]) ).
fof(f2034,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f454,f63]) ).
fof(f2035,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f454,f61]) ).
fof(f2036,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f454,f59]) ).
fof(f2037,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f454,f67]) ).
fof(f2038,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f454,f65]) ).
fof(f2039,plain,
( ~ sQ86_spl
| ~ sQ111_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f2028,f846,f453,f368]) ).
fof(f2040,definition,
! [X0] :
( sQ247_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2041,plain,
! [X0] :
( ~ sQ247_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f2040]) ).
fof(f2043,plain,
( ~ sQ86_spl
| ~ sQ111_spl
| sQ130_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2030,f2040,f643,f453,f368]) ).
fof(f2044,plain,
( ~ sQ86_spl
| ~ sQ111_spl
| sQ149_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2031,f2040,f846,f453,f368]) ).
fof(f2045,definition,
! [X0] :
( sQ248_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2046,plain,
! [X0] :
( ~ sQ248_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f2045]) ).
fof(f2048,plain,
( ~ sQ41_spl
| ~ sQ111_spl
| sQ177_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2032,f2045,f1208,f453,f214]) ).
fof(f2049,plain,
( ~ sQ41_spl
| ~ sQ111_spl
| sQ136_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2033,f2045,f771,f453,f214]) ).
fof(f2050,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ110_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f451,f698]) ).
fof(f2051,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ110_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f451,f699]) ).
fof(f2052,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ110_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f451,f591]) ).
fof(f2053,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ110_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f451,f592]) ).
fof(f2054,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ110_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f451,f1624]) ).
fof(f2055,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ110_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f451,f1625]) ).
fof(f2056,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ110_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f451,f1353]) ).
fof(f2057,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ110_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f451,f1352]) ).
fof(f2058,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f451,f63]) ).
fof(f2059,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f451,f61]) ).
fof(f2060,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f451,f59]) ).
fof(f2061,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f451,f67]) ).
fof(f2062,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f451,f65]) ).
fof(f2063,definition,
! [X0] :
( sQ249_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2064,plain,
! [X0] :
( ~ sQ249_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2063]) ).
fof(f2066,plain,
( ~ sQ5_spl
| ~ sQ110_spl
| sQ163_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2050,f2063,f1115,f450,f94]) ).
fof(f2067,plain,
( ~ sQ5_spl
| ~ sQ110_spl
| sQ169_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f2051,f2063,f1144,f450,f94]) ).
fof(f2068,definition,
! [X0] :
( sQ250_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2069,plain,
! [X0] :
( ~ sQ250_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f2068]) ).
fof(f2071,plain,
( ~ sQ15_spl
| ~ sQ110_spl
| sQ177_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2052,f2068,f1208,f450,f126]) ).
fof(f2072,plain,
( ~ sQ15_spl
| ~ sQ110_spl
| sQ169_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f2053,f2068,f1144,f450,f126]) ).
fof(f2073,definition,
! [X0] :
( sQ251_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2074,plain,
! [X0] :
( ~ sQ251_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f2073]) ).
fof(f2076,plain,
( ~ sQ80_spl
| ~ sQ110_spl
| sQ163_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2054,f2073,f1115,f450,f349]) ).
fof(f2077,plain,
( ~ sQ80_spl
| ~ sQ110_spl
| sQ149_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2055,f2073,f846,f450,f349]) ).
fof(f2078,definition,
! [X0] :
( sQ252_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2079,plain,
! [X0] :
( ~ sQ252_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f2078]) ).
fof(f2081,plain,
( ~ sQ50_spl
| ~ sQ110_spl
| sQ228_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f2056,f2078,f1809,f450,f248]) ).
fof(f2082,plain,
( ~ sQ50_spl
| ~ sQ110_spl
| sQ158_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f2057,f2078,f1043,f450,f248]) ).
fof(f2083,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f447,f63]) ).
fof(f2084,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f447,f61]) ).
fof(f2085,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f447,f59]) ).
fof(f2086,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f447,f67]) ).
fof(f2087,plain,
! [X0,X1,X2] :
( ~ sQ109_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f447,f65]) ).
fof(f2088,plain,
( ~ sQ198_spl
| ~ sQ108_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f444,f1448]) ).
fof(f2089,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f444,f63]) ).
fof(f2090,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f444,f61]) ).
fof(f2091,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f444,f59]) ).
fof(f2092,plain,
! [X0,X1,X2] :
( ~ sQ108_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f444,f67]) ).
fof(f2093,plain,
! [X0,X1,X2] :
( ~ sQ108_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f444,f65]) ).
fof(f2094,plain,
( ~ sQ185_spl
| ~ sQ107_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f441,f1308]) ).
fof(f2095,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f441,f63]) ).
fof(f2096,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f441,f61]) ).
fof(f2097,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f441,f59]) ).
fof(f2098,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f441,f67]) ).
fof(f2099,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f441,f65]) ).
fof(f2100,plain,
( ~ sQ185_spl
| ~ sQ107_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2094,f447]) ).
fof(f2101,plain,
( ~ sQ185_spl
| ~ sQ107_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f2100]) ).
fof(f2102,plain,
( ~ sQ210_spl
| ~ sQ106_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f438,f1651]) ).
fof(f2103,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f438,f63]) ).
fof(f2104,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f438,f61]) ).
fof(f2105,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f438,f59]) ).
fof(f2106,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f438,f67]) ).
fof(f2107,plain,
! [X0,X1,X2] :
( ~ sQ106_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f438,f65]) ).
fof(f2108,plain,
( ~ sQ5_spl
| ~ sQ105_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f435,f695]) ).
fof(f2109,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ105_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f435,f698]) ).
fof(f2110,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ105_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f435,f699]) ).
fof(f2111,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ105_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f435,f591]) ).
fof(f2112,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ105_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f435,f592]) ).
fof(f2113,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f435,f63]) ).
fof(f2114,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f435,f61]) ).
fof(f2115,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f435,f59]) ).
fof(f2116,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f435,f67]) ).
fof(f2117,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f435,f65]) ).
fof(f2118,plain,
( ~ sQ5_spl
| ~ sQ105_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f2108,f1144,f434,f94]) ).
fof(f2119,definition,
! [X0] :
( sQ253_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2120,plain,
! [X0] :
( ~ sQ253_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2119]) ).
fof(f2122,plain,
( ~ sQ5_spl
| ~ sQ105_spl
| sQ132_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f2109,f2119,f657,f434,f94]) ).
fof(f2123,plain,
( ~ sQ5_spl
| ~ sQ105_spl
| sQ169_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f2110,f2119,f1144,f434,f94]) ).
fof(f2124,definition,
! [X0] :
( sQ254_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2125,plain,
! [X0] :
( ~ sQ254_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f2124]) ).
fof(f2127,plain,
( ~ sQ15_spl
| ~ sQ105_spl
| sQ156_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f2111,f2124,f1015,f434,f126]) ).
fof(f2128,plain,
( ~ sQ15_spl
| ~ sQ105_spl
| sQ169_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f2112,f2124,f1144,f434,f126]) ).
fof(f2129,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f431,f63]) ).
fof(f2130,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f431,f61]) ).
fof(f2131,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_5,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f431,f59]) ).
fof(f2132,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f431,f67]) ).
fof(f2133,plain,
! [X0,X1,X2] :
( ~ sQ104_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f431,f65]) ).
fof(f2134,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f428,f63]) ).
fof(f2135,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f428,f61]) ).
fof(f2136,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f428,f59]) ).
fof(f2137,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f428,f67]) ).
fof(f2138,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f428,f65]) ).
fof(f2139,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f425,f63]) ).
fof(f2140,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f425,f61]) ).
fof(f2141,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f425,f59]) ).
fof(f2142,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f425,f67]) ).
fof(f2143,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f425,f65]) ).
fof(f2144,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f422,f63]) ).
fof(f2145,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f422,f61]) ).
fof(f2146,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f422,f59]) ).
fof(f2147,plain,
! [X0,X1,X2] :
( ~ sQ101_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f422,f67]) ).
fof(f2148,plain,
! [X0,X1,X2] :
( ~ sQ101_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f422,f65]) ).
fof(f2149,plain,
( ~ sQ75_spl
| ~ sQ100_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f419,f1778]) ).
fof(f2150,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ100_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f419,f591]) ).
fof(f2151,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ100_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f419,f592]) ).
fof(f2152,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f419,f63]) ).
fof(f2153,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f419,f61]) ).
fof(f2154,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f419,f59]) ).
fof(f2155,plain,
! [X0,X1,X2] :
( ~ sQ100_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f419,f67]) ).
fof(f2156,plain,
! [X0,X1,X2] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f419,f65]) ).
fof(f2157,plain,
( ~ sQ75_spl
| ~ sQ100_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f2149,f846,f418,f333]) ).
fof(f2158,definition,
! [X0] :
( sQ255_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2159,plain,
! [X0] :
( ~ sQ255_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f2158]) ).
fof(f2161,plain,
( ~ sQ15_spl
| ~ sQ100_spl
| sQ195_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2150,f2158,f1429,f418,f126]) ).
fof(f2162,plain,
( ~ sQ15_spl
| ~ sQ100_spl
| sQ169_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2151,f2158,f1144,f418,f126]) ).
fof(f2163,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_5,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f88,f63]) ).
fof(f2164,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_5,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f88,f61]) ).
fof(f2165,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_4,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f88,f59]) ).
fof(f2166,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f88,f67]) ).
fof(f2167,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f88,f65]) ).
fof(f2168,plain,
( ~ sQ191_spl
| ~ sQ112_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2012,f425]) ).
fof(f2169,plain,
( ~ sQ191_spl
| ~ sQ112_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f2168]) ).
fof(f2170,plain,
( ~ sQ178_spl
| ~ sQ112_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2013,f428]) ).
fof(f2171,plain,
( ~ sQ178_spl
| ~ sQ112_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f2170]) ).
fof(f2172,plain,
( ~ sQ174_spl
| ~ sQ112_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2015,f444]) ).
fof(f2173,plain,
( ~ sQ174_spl
| ~ sQ112_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f2172]) ).
fof(f2174,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ96_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1383,f422]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ96_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1383,f438]) ).
fof(f2176,definition,
! [X0] :
( sQ256_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2177,plain,
! [X0] :
( ~ sQ256_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f2176]) ).
fof(f2179,plain,
( ~ sQ101_spl
| ~ sQ96_spl
| sQ149_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2174,f2176,f846,f400,f421]) ).
fof(f2180,definition,
! [X0] :
( sQ257_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2181,plain,
! [X0] :
( ~ sQ257_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f2180]) ).
fof(f2183,plain,
( ~ sQ106_spl
| ~ sQ96_spl
| sQ149_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2175,f2180,f846,f400,f437]) ).
fof(f2184,definition,
! [X0] :
( sQ258_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2185,plain,
! [X0] :
( ~ sQ258_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f2184]) ).
fof(f2187,plain,
( ~ sQ25_spl
| ~ sQ95_spl
| sQ169_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f1458,f2184,f1144,f397,f163]) ).
fof(f2188,plain,
( ~ sQ25_spl
| ~ sQ95_spl
| sQ134_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f1459,f2184,f764,f397,f163]) ).
fof(f2189,definition,
! [X0] :
( sQ259_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2190,plain,
! [X0] :
( ~ sQ259_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2189]) ).
fof(f2192,plain,
( ~ sQ55_spl
| ~ sQ95_spl
| sQ203_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f1460,f2189,f1521,f397,f264]) ).
fof(f2193,plain,
( ~ sQ55_spl
| ~ sQ95_spl
| sQ136_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f1461,f2189,f771,f397,f264]) ).
fof(f2194,definition,
! [X0] :
( sQ260_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2195,plain,
! [X0] :
( ~ sQ260_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f2194]) ).
fof(f2197,plain,
( ~ sQ10_spl
| ~ sQ95_spl
| sQ228_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f1464,f2194,f1809,f397,f110]) ).
fof(f2198,plain,
( ~ sQ10_spl
| ~ sQ95_spl
| sQ167_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f1465,f2194,f1137,f397,f110]) ).
fof(f2199,plain,
( ~ sQ15_spl
| ~ sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f127,f1968]) ).
fof(f2200,plain,
( ~ sQ15_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f2199]) ).
fof(f2201,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ34_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f909,f431]) ).
fof(f2202,definition,
! [X0] :
( sQ261_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2203,plain,
! [X0] :
( ~ sQ261_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2202]) ).
fof(f2205,plain,
( ~ sQ104_spl
| ~ sQ34_spl
| sQ136_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2201,f2202,f771,f191,f430]) ).
fof(f2206,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ34_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f908,f431]) ).
fof(f2207,plain,
( ~ sQ104_spl
| ~ sQ34_spl
| sQ199_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2206,f2202,f1450,f191,f430]) ).
fof(f2208,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ71_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1058,f422]) ).
fof(f2209,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ71_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1058,f438]) ).
fof(f2210,definition,
! [X0] :
( sQ262_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2211,plain,
! [X0] :
( ~ sQ262_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f2210]) ).
fof(f2213,plain,
( ~ sQ101_spl
| ~ sQ71_spl
| sQ228_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f2208,f2210,f1809,f315,f421]) ).
fof(f2214,definition,
! [X0] :
( sQ263_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2215,plain,
! [X0] :
( ~ sQ263_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f2214]) ).
fof(f2217,plain,
( ~ sQ106_spl
| ~ sQ71_spl
| sQ228_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2209,f2214,f1809,f315,f437]) ).
fof(f2218,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ8_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f669,f88]) ).
fof(f2219,definition,
! [X0] :
( sQ264_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2220,plain,
! [X0] :
( ~ sQ264_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2219]) ).
fof(f2222,plain,
( ~ sQ3_spl
| ~ sQ8_spl
| sQ138_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2218,f2219,f786,f103,f87]) ).
fof(f2223,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ2_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f85,f2099]) ).
fof(f2224,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ2_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f85,f2098]) ).
fof(f2225,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ2_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f85,f1301]) ).
fof(f2226,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ2_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f85,f1300]) ).
fof(f2227,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ2_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f85,f1728]) ).
fof(f2228,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ2_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f85,f1729]) ).
fof(f2229,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ2_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f85,f524]) ).
fof(f2230,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ2_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f85,f525]) ).
fof(f2231,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ2_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f85,f2022]) ).
fof(f2232,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ2_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f85,f2021]) ).
fof(f2233,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ2_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f85,f1576]) ).
fof(f2234,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ2_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f85,f1575]) ).
fof(f2235,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ2_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f85,f869]) ).
fof(f2236,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ2_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f85,f868]) ).
fof(f2237,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ2_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f85,f740]) ).
fof(f2238,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ2_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f85,f739]) ).
fof(f2239,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_5,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f85,f63]) ).
fof(f2240,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f85,f61]) ).
fof(f2241,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_3,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f85,f59]) ).
fof(f2242,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f85,f67]) ).
fof(f2243,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f85,f65]) ).
fof(f2244,definition,
! [X0] :
( sQ265_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2245,plain,
! [X0] :
( ~ sQ265_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2244]) ).
fof(f2247,plain,
( ~ sQ107_spl
| ~ sQ2_spl
| sQ188_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2223,f2244,f1394,f84,f440]) ).
fof(f2248,plain,
( ~ sQ107_spl
| ~ sQ2_spl
| sQ199_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2224,f2244,f1450,f84,f440]) ).
fof(f2249,definition,
! [X0] :
( sQ266_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2250,plain,
! [X0] :
( ~ sQ266_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2249]) ).
fof(f2252,plain,
( ~ sQ57_spl
| ~ sQ2_spl
| sQ220_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2225,f2249,f1718,f84,f270]) ).
fof(f2253,plain,
( ~ sQ57_spl
| ~ sQ2_spl
| sQ199_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2226,f2249,f1450,f84,f270]) ).
fof(f2254,definition,
! [X0] :
( sQ267_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2255,plain,
! [X0] :
( ~ sQ267_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f2254]) ).
fof(f2257,plain,
( ~ sQ77_spl
| ~ sQ2_spl
| sQ138_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2227,f2254,f786,f84,f339]) ).
fof(f2258,plain,
( ~ sQ77_spl
| ~ sQ2_spl
| sQ195_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2228,f2254,f1429,f84,f339]) ).
fof(f2259,definition,
! [X0] :
( sQ268_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2260,plain,
! [X0] :
( ~ sQ268_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f2259]) ).
fof(f2262,plain,
( ~ sQ22_spl
| ~ sQ2_spl
| sQ188_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f2229,f2259,f1394,f84,f148]) ).
fof(f2263,plain,
( ~ sQ22_spl
| ~ sQ2_spl
| sQ138_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f2230,f2259,f786,f84,f148]) ).
fof(f2264,definition,
! [X0] :
( sQ269_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2265,plain,
! [X0] :
( ~ sQ269_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f2264]) ).
fof(f2267,plain,
( ~ sQ112_spl
| ~ sQ2_spl
| sQ188_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2231,f2264,f1394,f84,f456]) ).
fof(f2268,plain,
( ~ sQ112_spl
| ~ sQ2_spl
| sQ220_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2232,f2264,f1718,f84,f456]) ).
fof(f2269,definition,
! [X0] :
( sQ270_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2270,plain,
! [X0] :
( ~ sQ270_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f2269]) ).
fof(f2272,plain,
( ~ sQ87_spl
| ~ sQ2_spl
| sQ195_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2233,f2269,f1429,f84,f371]) ).
fof(f2273,plain,
( ~ sQ87_spl
| ~ sQ2_spl
| sQ220_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2234,f2269,f1718,f84,f371]) ).
fof(f2274,definition,
! [X0] :
( sQ271_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2275,plain,
! [X0] :
( ~ sQ271_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f2274]) ).
fof(f2277,plain,
( ~ sQ37_spl
| ~ sQ2_spl
| sQ199_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2235,f2274,f1450,f84,f201]) ).
fof(f2278,plain,
( ~ sQ37_spl
| ~ sQ2_spl
| sQ220_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2236,f2274,f1718,f84,f201]) ).
fof(f2279,definition,
! [X0] :
( sQ272_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2280,plain,
! [X0] :
( ~ sQ272_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f2279]) ).
fof(f2282,plain,
( ~ sQ42_spl
| ~ sQ2_spl
| sQ199_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2237,f2279,f1450,f84,f217]) ).
fof(f2283,plain,
( ~ sQ42_spl
| ~ sQ2_spl
| sQ195_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2238,f2279,f1429,f84,f217]) ).
fof(f2284,plain,
( ~ sQ51_spl
| ~ sQ1_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f82,f1344]) ).
fof(f2285,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ1_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f82,f1348]) ).
fof(f2286,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ1_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f82,f1347]) ).
fof(f2287,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ1_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f82,f1618]) ).
fof(f2288,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ1_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f82,f1619]) ).
fof(f2289,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_5,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f82,f63]) ).
fof(f2290,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_5,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f82,f61]) ).
fof(f2291,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f82,f59]) ).
fof(f2292,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f82,f67]) ).
fof(f2293,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f82,f65]) ).
fof(f2294,plain,
( ~ sQ51_spl
| ~ sQ1_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f2284,f1718,f81,f251]) ).
fof(f2295,definition,
! [X0] :
( sQ273_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2296,plain,
! [X0] :
( ~ sQ273_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f2295]) ).
fof(f2298,plain,
( ~ sQ51_spl
| ~ sQ1_spl
| sQ220_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f2285,f2295,f1718,f81,f251]) ).
fof(f2299,plain,
( ~ sQ51_spl
| ~ sQ1_spl
| sQ138_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f2286,f2295,f786,f81,f251]) ).
fof(f2300,definition,
! [X0] :
( sQ274_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2301,plain,
! [X0] :
( ~ sQ274_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f2300]) ).
fof(f2303,plain,
( ~ sQ81_spl
| ~ sQ1_spl
| sQ199_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f2287,f2300,f1450,f81,f352]) ).
fof(f2304,plain,
( ~ sQ81_spl
| ~ sQ1_spl
| sQ195_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f2288,f2300,f1429,f81,f352]) ).
fof(f2305,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f79,f633]) ).
fof(f2306,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ0_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f79,f1917]) ).
fof(f2307,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ0_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f79,f1918]) ).
fof(f2308,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ0_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f79,f1865]) ).
fof(f2310,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ0_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f79,f635]) ).
fof(f2311,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ0_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f79,f636]) ).
fof(f2312,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_5,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f79,f63]) ).
fof(f2313,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f79,f61]) ).
fof(f2314,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_1,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f79,f59]) ).
fof(f2315,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f79,f67]) ).
fof(f2316,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f79,f65]) ).
fof(f2317,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f2305,f1718,f78,f110]) ).
fof(f2318,definition,
! [X0] :
( sQ275_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2319,plain,
! [X0] :
( ~ sQ275_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f2318]) ).
fof(f2321,plain,
( ~ sQ115_spl
| ~ sQ0_spl
| sQ195_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f2306,f2318,f1429,f78,f466]) ).
fof(f2322,plain,
( ~ sQ115_spl
| ~ sQ0_spl
| sQ188_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f2307,f2318,f1394,f78,f466]) ).
fof(f2323,definition,
! [X0] :
( sQ276_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2324,plain,
! [X0] :
( ~ sQ276_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2323]) ).
fof(f2326,plain,
( ~ sQ120_spl
| ~ sQ0_spl
| sQ188_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f2308,f2323,f1394,f78,f482]) ).
fof(f2328,definition,
! [X0] :
( sQ277_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2329,plain,
! [X0] :
( ~ sQ277_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f2328]) ).
fof(f2331,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| sQ220_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f2310,f2328,f1718,f78,f110]) ).
fof(f2332,plain,
( ~ sQ10_spl
| ~ sQ0_spl
| sQ138_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f2311,f2328,f786,f78,f110]) ).
fof(f2333,definition,
! [X0] :
( sQ278_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2334,plain,
! [X0] :
( ~ sQ278_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f2333]) ).
fof(f2336,plain,
( ~ sQ36_spl
| ~ sQ121_spl
| sQ136_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f1851,f2333,f771,f485,f198]) ).
fof(f2337,plain,
( ~ sQ36_spl
| ~ sQ121_spl
| sQ228_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f1852,f2333,f1809,f485,f198]) ).
fof(f2338,plain,
( ~ sQ248_spl
| ~ sQ68_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f306,f2046]) ).
fof(f2339,plain,
( ~ sQ226_spl
| ~ sQ68_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f306,f1784]) ).
fof(f2340,plain,
( ~ sQ186_spl
| ~ sQ68_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f306,f1320]) ).
fof(f2341,plain,
( ~ sQ133_spl
| ~ sQ68_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f306,f762]) ).
fof(f2342,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f306,f63]) ).
fof(f2343,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f306,f61]) ).
fof(f2344,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f306,f59]) ).
fof(f2345,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f306,f67]) ).
fof(f2346,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f306,f65]) ).
fof(f2347,plain,
( ~ sQ68_spl
| ~ sQ272_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f2280,f306]) ).
fof(f2348,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ23_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f515,f306]) ).
fof(f2349,plain,
( ~ sQ68_spl
| ~ sQ23_spl
| sQ146_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f2348,f1093,f827,f151,f305]) ).
fof(f2350,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ40_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f749,f79]) ).
fof(f2351,plain,
( ~ sQ0_spl
| ~ sQ40_spl
| sQ195_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2350,f2279,f1429,f211,f78]) ).
fof(f2352,plain,
( ~ sQ108_spl
| ~ sQ200_spl
| ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f444,f1901]) ).
fof(f2353,plain,
( ~ sQ108_spl
| ~ sQ200_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f2352]) ).
fof(f2354,plain,
( ~ sQ194_spl
| ~ sQ117_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f1886,f424,f472,f1426]) ).
fof(f2355,plain,
( ~ sQ204_spl
| ~ sQ91_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f385,f1540]) ).
fof(f2356,plain,
( ~ sQ205_spl
| ~ sQ91_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f385,f1545]) ).
fof(f2357,plain,
( ~ sQ202_spl
| ~ sQ91_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f385,f1519]) ).
fof(f2358,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ91_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f385,f2107]) ).
fof(f2359,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ91_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f385,f2106]) ).
fof(f2360,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ91_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f385,f1318]) ).
fof(f2361,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ91_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f385,f1317]) ).
fof(f2362,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ91_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f385,f878]) ).
fof(f2363,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ91_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f385,f877]) ).
fof(f2364,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f385,f63]) ).
fof(f2365,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f385,f61]) ).
fof(f2366,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_2,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f385,f59]) ).
fof(f2367,plain,
! [X0,X1,X2] :
( ~ sQ91_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f385,f67]) ).
fof(f2368,plain,
! [X0,X1,X2] :
( ~ sQ91_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f385,f65]) ).
fof(f2369,plain,
( ~ sQ204_spl
| ~ sQ91_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f2355,f355,f384,f1539]) ).
fof(f2370,definition,
! [X0] :
( sQ279_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2371,plain,
! [X0] :
( ~ sQ279_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2370]) ).
fof(f2373,plain,
( ~ sQ106_spl
| ~ sQ91_spl
| sQ146_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f2358,f2370,f827,f384,f437]) ).
fof(f2374,plain,
( ~ sQ106_spl
| ~ sQ91_spl
| sQ134_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f2359,f2370,f764,f384,f437]) ).
fof(f2375,plain,
( ~ sQ56_spl
| ~ sQ91_spl
| sQ203_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f2360,f1539,f1521,f384,f267]) ).
fof(f2376,plain,
( ~ sQ56_spl
| ~ sQ91_spl
| sQ134_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f2361,f1539,f764,f384,f267]) ).
fof(f2377,definition,
! [X0] :
( sQ280_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2378,plain,
! [X0] :
( ~ sQ280_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f2377]) ).
fof(f2380,plain,
( ~ sQ36_spl
| ~ sQ91_spl
| sQ134_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f2362,f2377,f764,f384,f198]) ).
fof(f2381,plain,
( ~ sQ36_spl
| ~ sQ91_spl
| sQ203_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f2363,f2377,f1521,f384,f198]) ).
fof(f2382,plain,
( ~ sQ19_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f139,f546]) ).
fof(f2383,plain,
( ~ sQ19_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f139,f545]) ).
fof(f2384,plain,
( ~ sQ94_spl
| ~ sQ19_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f139,f1484]) ).
fof(f2385,plain,
( ~ sQ19_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f139,f544]) ).
fof(f2386,plain,
( ~ sQ255_spl
| ~ sQ19_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f139,f2159]) ).
fof(f2387,plain,
( ~ sQ254_spl
| ~ sQ19_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f139,f2125]) ).
fof(f2388,plain,
( ~ sQ250_spl
| ~ sQ19_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f139,f2069]) ).
fof(f2389,plain,
( ~ sQ208_spl
| ~ sQ19_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f139,f1638]) ).
fof(f2390,plain,
( ~ sQ214_spl
| ~ sQ19_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f139,f1677]) ).
fof(f2391,plain,
( ~ sQ190_spl
| ~ sQ19_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f139,f1407]) ).
fof(f2392,plain,
( ~ sQ189_spl
| ~ sQ19_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f139,f1403]) ).
fof(f2393,plain,
( ~ sQ176_spl
| ~ sQ19_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f139,f1205]) ).
fof(f2394,plain,
( ~ sQ155_spl
| ~ sQ19_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f139,f1013]) ).
fof(f2395,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ19_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f139,f1487]) ).
fof(f2396,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ19_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f139,f1488]) ).
fof(f2397,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ19_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f139,f2133]) ).
fof(f2398,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ19_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f139,f2132]) ).
fof(f2399,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ19_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f139,f1333]) ).
fof(f2400,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ19_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f139,f1332]) ).
fof(f2401,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ19_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f139,f968]) ).
fof(f2402,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ19_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f139,f969]) ).
fof(f2403,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ19_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f139,f1185]) ).
fof(f2404,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ19_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f139,f1184]) ).
fof(f2406,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f139,f548]) ).
fof(f2412,plain,
( ~ sQ94_spl
| ~ sQ19_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f2384,f1429,f138,f393]) ).
fof(f2413,plain,
( ~ sQ190_spl
| ~ sQ19_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2391,f100,f138,f1406]) ).
fof(f2414,plain,
( ~ sQ189_spl
| ~ sQ19_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2392,f84,f138,f1402]) ).
fof(f2415,plain,
( ~ sQ176_spl
| ~ sQ19_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2393,f116,f138,f1204]) ).
fof(f2416,definition,
! [X0] :
( sQ281_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2417,plain,
! [X0] :
( ~ sQ281_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2416]) ).
fof(f2419,plain,
( ~ sQ94_spl
| ~ sQ19_spl
| sQ128_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2395,f2416,f553,f138,f393]) ).
fof(f2420,plain,
( ~ sQ94_spl
| ~ sQ19_spl
| sQ195_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2396,f2416,f1429,f138,f393]) ).
fof(f2421,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| sQ188_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2397,f2158,f1394,f138,f430]) ).
fof(f2422,plain,
( ~ sQ104_spl
| ~ sQ19_spl
| sQ167_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2398,f2158,f1137,f138,f430]) ).
fof(f2423,plain,
( ~ sQ54_spl
| ~ sQ19_spl
| sQ220_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f2399,f1402,f1718,f138,f260]) ).
fof(f2424,plain,
( ~ sQ54_spl
| ~ sQ19_spl
| sQ167_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f2400,f1402,f1137,f138,f260]) ).
fof(f2425,definition,
! [X0] :
( sQ282_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2426,plain,
! [X0] :
( ~ sQ282_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f2425]) ).
fof(f2428,plain,
( ~ sQ29_spl
| ~ sQ19_spl
| sQ167_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f2401,f2425,f1137,f138,f175]) ).
fof(f2429,plain,
( ~ sQ29_spl
| ~ sQ19_spl
| sQ199_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f2402,f2425,f1450,f138,f175]) ).
fof(f2430,plain,
( ~ sQ64_spl
| ~ sQ19_spl
| sQ220_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f2403,f1204,f1718,f138,f292]) ).
fof(f2431,plain,
( ~ sQ64_spl
| ~ sQ19_spl
| sQ203_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f2404,f1204,f1521,f138,f292]) ).
fof(f2433,plain,
( ~ sQ19_spl
| sQ138_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2406,f550,f786,f138]) ).
fof(f2434,plain,
( ~ sQ23_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f152,f514]) ).
fof(f2435,plain,
( ~ sQ23_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f152,f513]) ).
fof(f2436,plain,
( ~ sQ73_spl
| ~ sQ23_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f152,f1034]) ).
fof(f2437,plain,
( ~ sQ98_spl
| ~ sQ23_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f152,f1367]) ).
fof(f2438,plain,
( ~ sQ23_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f152,f512]) ).
fof(f2439,plain,
( ~ sQ217_spl
| ~ sQ23_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f152,f1706]) ).
fof(f2440,plain,
( ~ sQ145_spl
| ~ sQ23_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f152,f825]) ).
fof(f2441,plain,
( ~ sQ180_spl
| ~ sQ23_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f152,f1246]) ).
fof(f2442,plain,
( ~ sQ197_spl
| ~ sQ23_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f152,f1443]) ).
fof(f2443,plain,
( ~ sQ143_spl
| ~ sQ23_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f152,f818]) ).
fof(f2444,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ23_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f152,f2093]) ).
fof(f2445,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ23_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f152,f2092]) ).
fof(f2446,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ23_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f152,f1038]) ).
fof(f2447,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ23_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f152,f1037]) ).
fof(f2448,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ23_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f152,f1371]) ).
fof(f2449,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ23_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f152,f1370]) ).
fof(f2450,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f152,f516]) ).
fof(f2451,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f152,f515]) ).
fof(f2457,plain,
( ~ sQ73_spl
| ~ sQ23_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f2436,f1718,f151,f321]) ).
fof(f2458,plain,
( ~ sQ98_spl
| ~ sQ23_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f2437,f1429,f151,f406]) ).
fof(f2459,plain,
( ~ sQ180_spl
| ~ sQ23_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2441,f116,f151,f1245]) ).
fof(f2460,plain,
( ~ sQ197_spl
| ~ sQ23_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2442,f84,f151,f1442]) ).
fof(f2461,definition,
! [X0] :
( sQ283_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2462,plain,
! [X0] :
( ~ sQ283_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f2461]) ).
fof(f2464,plain,
( ~ sQ108_spl
| ~ sQ23_spl
| sQ188_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f2444,f2461,f1394,f151,f443]) ).
fof(f2465,plain,
( ~ sQ108_spl
| ~ sQ23_spl
| sQ136_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f2445,f2461,f771,f151,f443]) ).
fof(f2466,plain,
( ~ sQ73_spl
| ~ sQ23_spl
| sQ220_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f2446,f1097,f1718,f151,f321]) ).
fof(f2467,plain,
( ~ sQ73_spl
| ~ sQ23_spl
| sQ126_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f2447,f1097,f507,f151,f321]) ).
fof(f2468,definition,
! [X0] :
( sQ284_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2469,plain,
! [X0] :
( ~ sQ284_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f2468]) ).
fof(f2471,plain,
( ~ sQ98_spl
| ~ sQ23_spl
| sQ195_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f2448,f2468,f1429,f151,f406]) ).
fof(f2472,plain,
( ~ sQ98_spl
| ~ sQ23_spl
| sQ126_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f2449,f2468,f507,f151,f406]) ).
fof(f2473,plain,
( ~ sQ23_spl
| sQ138_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f2450,f504,f786,f151]) ).
fof(f2474,plain,
( ~ sQ23_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f2451,f504,f507,f151]) ).
fof(f2475,plain,
( ~ sQ96_spl
| ~ sQ193_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f1435,f387,f1422,f400]) ).
fof(f2476,plain,
( ~ sQ36_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f199,f876]) ).
fof(f2477,plain,
( ~ sQ36_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f199,f875]) ).
fof(f2478,plain,
( ~ sQ36_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f199,f874]) ).
fof(f2479,plain,
( ~ sQ270_spl
| ~ sQ36_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f199,f2270]) ).
fof(f2480,plain,
( ~ sQ206_spl
| ~ sQ36_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f199,f1563]) ).
fof(f2481,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ36_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f199,f1383]) ).
fof(f2482,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ36_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f199,f1382]) ).
fof(f2483,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ36_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f199,f532]) ).
fof(f2484,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ36_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f199,f531]) ).
fof(f2485,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ36_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f199,f2148]) ).
fof(f2486,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ36_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f199,f2147]) ).
fof(f2487,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f199,f878]) ).
fof(f2494,definition,
! [X0] :
( sQ285_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2495,plain,
! [X0] :
( ~ sQ285_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f2494]) ).
fof(f2497,plain,
( ~ sQ96_spl
| ~ sQ36_spl
| sQ156_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f2481,f2494,f1015,f198,f400]) ).
fof(f2498,plain,
( ~ sQ96_spl
| ~ sQ36_spl
| sQ144_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f2482,f2494,f820,f198,f400]) ).
fof(f2499,plain,
( ~ sQ21_spl
| ~ sQ36_spl
| sQ140_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f2483,f796,f799,f198,f145]) ).
fof(f2500,plain,
( ~ sQ21_spl
| ~ sQ36_spl
| sQ144_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f2484,f796,f820,f198,f145]) ).
fof(f2501,definition,
! [X0] :
( sQ286_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f2502,plain,
! [X0] :
( ~ sQ286_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f2501]) ).
fof(f2504,plain,
( ~ sQ101_spl
| ~ sQ36_spl
| sQ154_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f2485,f2501,f1005,f198,f421]) ).
fof(f2505,plain,
( ~ sQ101_spl
| ~ sQ36_spl
| sQ158_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f2486,f2501,f1043,f198,f421]) ).
fof(f2506,plain,
( ~ sQ36_spl
| sQ132_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f2487,f880,f657,f198]) ).
fof(f2508,plain,
( ~ sQ189_spl
| ~ sQ119_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f1870,f424,f478,f1402]) ).
fof(f2509,plain,
( ~ sQ202_spl
| ~ sQ116_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f1900,f424,f469,f1518]) ).
fof(f2510,plain,
( ~ sQ204_spl
| ~ sQ116_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f1898,f440,f469,f1539]) ).
fof(f2511,plain,
( ~ sQ173_spl
| ~ sQ117_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f1890,f443,f472,f1175]) ).
fof(f2512,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f212,f748]) ).
fof(f2513,plain,
( ~ sQ25_spl
| ~ sQ40_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f212,f1023]) ).
fof(f2514,plain,
( ~ sQ40_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f212,f747]) ).
fof(f2515,plain,
( ~ sQ40_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f212,f746]) ).
fof(f2516,plain,
( ~ sQ275_spl
| ~ sQ40_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f212,f2319]) ).
fof(f2517,plain,
( ~ sQ232_spl
| ~ sQ40_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f212,f1910]) ).
fof(f2518,plain,
( ~ sQ239_spl
| ~ sQ40_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f212,f1961]) ).
fof(f2519,plain,
( ~ sQ233_spl
| ~ sQ40_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f212,f1929]) ).
fof(f2520,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ40_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f212,f1353]) ).
fof(f2521,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ40_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f212,f1352]) ).
fof(f2522,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ40_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f212,f1025]) ).
fof(f2523,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ40_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f212,f1026]) ).
fof(f2524,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ40_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f212,f1594]) ).
fof(f2525,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ40_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f212,f1595]) ).
fof(f2526,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ40_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f212,f1328]) ).
fof(f2527,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ40_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f212,f1327]) ).
fof(f2528,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ40_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f212,f2062]) ).
fof(f2529,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ40_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f212,f2061]) ).
fof(f2530,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ40_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f212,f1865]) ).
fof(f2531,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ40_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f212,f1864]) ).
fof(f2532,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ40_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f212,f1781]) ).
fof(f2533,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ40_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f212,f1782]) ).
fof(f2534,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f212,f750]) ).
fof(f2535,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f212,f749]) ).
fof(f2541,plain,
( ~ sQ25_spl
| ~ sQ40_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f2513,f1137,f211,f163]) ).
fof(f2542,plain,
( ~ sQ232_spl
| ~ sQ40_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2517,f204,f211,f1909]) ).
fof(f2543,definition,
! [X0] :
( sQ287_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f2544,plain,
! [X0] :
( ~ sQ287_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f2543]) ).
fof(f2546,definition,
( sQ288_spl
<=> equalish(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f2547,plain,
( ~ sQ288_spl
| equalish(e_3,e_4) ),
inference(component_clause,[status(thm)],[f2546]) ).
fof(f2549,plain,
( ~ sQ50_spl
| ~ sQ40_spl
| sQ288_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f2520,f2543,f2546,f211,f248]) ).
fof(f2550,plain,
( ~ sQ50_spl
| ~ sQ40_spl
| sQ167_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f2521,f2543,f1137,f211,f248]) ).
fof(f2551,definition,
! [X0] :
( sQ289_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2552,plain,
! [X0] :
( ~ sQ289_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f2551]) ).
fof(f2554,plain,
( ~ sQ25_spl
| ~ sQ40_spl
| sQ167_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f2522,f2551,f1137,f211,f163]) ).
fof(f2555,plain,
( ~ sQ25_spl
| ~ sQ40_spl
| sQ132_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f2523,f2551,f657,f211,f163]) ).
fof(f2556,definition,
! [X0] :
( sQ290_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f2557,plain,
! [X0] :
( ~ sQ290_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f2556]) ).
fof(f2559,plain,
( ~ sQ85_spl
| ~ sQ40_spl
| sQ203_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f2524,f2556,f1521,f211,f365]) ).
fof(f2560,plain,
( ~ sQ85_spl
| ~ sQ40_spl
| sQ156_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f2525,f2556,f1015,f211,f365]) ).
fof(f2561,plain,
( ~ sQ55_spl
| ~ sQ40_spl
| sQ288_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2526,f1319,f2546,f211,f264]) ).
fof(f2562,plain,
( ~ sQ55_spl
| ~ sQ40_spl
| sQ134_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f2527,f1319,f764,f211,f264]) ).
fof(f2563,plain,
( ~ sQ110_spl
| ~ sQ40_spl
| sQ154_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2528,f2045,f1005,f211,f450]) ).
fof(f2564,plain,
( ~ sQ110_spl
| ~ sQ40_spl
| sQ203_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2529,f2045,f1521,f211,f450]) ).
fof(f2565,definition,
! [X0] :
( sQ291_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f2566,plain,
! [X0] :
( ~ sQ291_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2565]) ).
fof(f2568,plain,
( ~ sQ120_spl
| ~ sQ40_spl
| sQ154_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f2530,f2565,f1005,f211,f482]) ).
fof(f2569,plain,
( ~ sQ120_spl
| ~ sQ40_spl
| sQ146_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f2531,f2565,f827,f211,f482]) ).
fof(f2570,plain,
( ~ sQ75_spl
| ~ sQ40_spl
| sQ167_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f2532,f1783,f1137,f211,f333]) ).
fof(f2571,plain,
( ~ sQ75_spl
| ~ sQ40_spl
| sQ156_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f2533,f1783,f1015,f211,f333]) ).
fof(f2572,plain,
( ~ sQ40_spl
| sQ132_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f2534,f842,f657,f211]) ).
fof(f2573,plain,
( ~ sQ40_spl
| sQ128_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f2535,f842,f553,f211]) ).
fof(f2574,plain,
( ~ sQ288_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2547,f47]) ).
fof(f2575,plain,
~ sQ288_spl,
inference(contradiction_clause,[status(thm)],[f2574]) ).
fof(f2576,plain,
( ~ sQ181_spl
| ~ sQ117_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f1887,f456,f472,f1262]) ).
fof(f2577,plain,
( ~ sQ176_spl
| ~ sQ119_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f1871,f456,f478,f1204]) ).
fof(f2578,plain,
( ~ sQ7_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f101,f677]) ).
fof(f2579,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f101,f617]) ).
fof(f2580,plain,
( ~ sQ7_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f101,f676]) ).
fof(f2581,plain,
( ~ sQ7_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f101,f675]) ).
fof(f2582,plain,
( ~ sQ266_spl
| ~ sQ7_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f101,f2250]) ).
fof(f2583,plain,
( ~ sQ224_spl
| ~ sQ7_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f101,f1761]) ).
fof(f2584,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ7_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f101,f620]) ).
fof(f2585,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ7_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f101,f619]) ).
fof(f2586,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f101,f718]) ).
fof(f2587,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f101,f717]) ).
fof(f2589,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f101,f679]) ).
fof(f2595,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f2579,f2546,f100,f116]) ).
fof(f2596,definition,
! [X0] :
( sQ292_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f2597,plain,
! [X0] :
( ~ sQ292_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f2596]) ).
fof(f2599,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| sQ138_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f2584,f2596,f786,f100,f116]) ).
fof(f2600,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| sQ288_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f2585,f2596,f2546,f100,f116]) ).
fof(f2601,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| sQ199_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f2586,f768,f1450,f100,f233]) ).
fof(f2602,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| sQ154_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f2587,f768,f1005,f100,f233]) ).
fof(f2604,plain,
( ~ sQ7_spl
| sQ138_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f2589,f654,f786,f100]) ).
fof(f2605,plain,
( ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f117,f618]) ).
fof(f2606,plain,
( ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f117,f617]) ).
fof(f2607,plain,
( ~ sQ12_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f117,f616]) ).
fof(f2608,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f117,f620]) ).
fof(f2609,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f117,f619]) ).
fof(f2615,plain,
( ~ sQ12_spl
| sQ138_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f2608,f640,f786,f116]) ).
fof(f2616,plain,
( ~ sQ12_spl
| sQ130_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f2609,f640,f643,f116]) ).
fof(f2617,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ112_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2021,f117]) ).
fof(f2618,definition,
! [X0] :
( sQ293_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f2619,plain,
! [X0] :
( ~ sQ293_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f2618]) ).
fof(f2621,plain,
( ~ sQ12_spl
| ~ sQ112_spl
| sQ130_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f2617,f2618,f643,f456,f116]) ).
fof(f2623,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ77_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1729,f117]) ).
fof(f2624,plain,
( ~ sQ12_spl
| ~ sQ77_spl
| sQ195_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f2623,f1715,f1429,f339,f116]) ).
fof(f2625,plain,
( ~ sQ97_spl
| ~ sQ183_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f1389,f355,f1288,f403]) ).
fof(f2626,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ52_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1342,f117]) ).
fof(f2627,definition,
! [X0] :
( sQ294_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f2628,plain,
! [X0] :
( ~ sQ294_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f2627]) ).
fof(f2630,plain,
( ~ sQ12_spl
| ~ sQ52_spl
| sQ158_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f2626,f2627,f1043,f254,f116]) ).
fof(f2631,plain,
( ~ sQ20_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f143,f539]) ).
fof(f2632,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f143,f2313]) ).
fof(f2633,plain,
( ~ sQ20_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f143,f538]) ).
fof(f2634,plain,
( ~ sQ45_spl
| ~ sQ20_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f143,f724]) ).
fof(f2635,plain,
( ~ sQ20_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f143,f537]) ).
fof(f2636,plain,
( ~ sQ291_spl
| ~ sQ20_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f143,f2566]) ).
fof(f2637,plain,
( ~ sQ278_spl
| ~ sQ20_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f143,f2334]) ).
fof(f2638,plain,
( ~ sQ276_spl
| ~ sQ20_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f143,f2324]) ).
fof(f2639,plain,
( ~ sQ246_spl
| ~ sQ20_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f143,f2024]) ).
fof(f2640,plain,
( ~ sQ234_spl
| ~ sQ20_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f143,f1933]) ).
fof(f2641,plain,
( ~ sQ238_spl
| ~ sQ20_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f143,f1953]) ).
fof(f2642,plain,
( ~ sQ236_spl
| ~ sQ20_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f143,f1943]) ).
fof(f2643,plain,
( ~ sQ227_spl
| ~ sQ20_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f143,f1807]) ).
fof(f2644,plain,
( ~ sQ229_spl
| ~ sQ20_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f143,f1815]) ).
fof(f2645,plain,
( ~ sQ230_spl
| ~ sQ20_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f143,f1820]) ).
fof(f2646,plain,
( ~ sQ231_spl
| ~ sQ20_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f143,f1825]) ).
fof(f2647,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ20_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f143,f2117]) ).
fof(f2648,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ20_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f143,f2116]) ).
fof(f2649,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ20_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f143,f2062]) ).
fof(f2650,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ20_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f143,f2061]) ).
fof(f2651,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ20_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f143,f727]) ).
fof(f2652,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ20_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f143,f728]) ).
fof(f2653,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ20_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f143,f2156]) ).
fof(f2654,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ20_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f143,f2155]) ).
fof(f2655,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ20_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f143,f1538]) ).
fof(f2656,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ20_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f143,f1537]) ).
fof(f2657,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ20_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f143,f2316]) ).
fof(f2658,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ20_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f143,f2315]) ).
fof(f2659,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f143,f540]) ).
fof(f2660,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f143,f541]) ).
fof(f2666,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f2632,f1144,f142,f78]) ).
fof(f2667,plain,
( ~ sQ45_spl
| ~ sQ20_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f2634,f1450,f142,f227]) ).
fof(f2668,plain,
( ~ sQ278_spl
| ~ sQ20_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2637,f119,f142,f2333]) ).
fof(f2669,plain,
( ~ sQ236_spl
| ~ sQ20_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2642,f103,f142,f1942]) ).
fof(f2670,plain,
( ~ sQ105_spl
| ~ sQ20_spl
| sQ188_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f2647,f2461,f1394,f142,f434]) ).
fof(f2671,plain,
( ~ sQ105_spl
| ~ sQ20_spl
| sQ136_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f2648,f2461,f771,f142,f434]) ).
fof(f2672,plain,
( ~ sQ110_spl
| ~ sQ20_spl
| sQ188_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f2649,f1994,f1394,f142,f450]) ).
fof(f2673,plain,
( ~ sQ110_spl
| ~ sQ20_spl
| sQ228_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f2650,f1994,f1809,f142,f450]) ).
fof(f2674,plain,
( ~ sQ45_spl
| ~ sQ20_spl
| sQ126_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2651,f807,f507,f142,f227]) ).
fof(f2675,plain,
( ~ sQ45_spl
| ~ sQ20_spl
| sQ199_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f2652,f807,f1450,f142,f227]) ).
fof(f2676,definition,
! [X0] :
( sQ295_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f2677,plain,
! [X0] :
( ~ sQ295_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f2676]) ).
fof(f2679,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| sQ188_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f2653,f2676,f1394,f142,f418]) ).
fof(f2680,plain,
( ~ sQ100_spl
| ~ sQ20_spl
| sQ169_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f2654,f2676,f1144,f142,f418]) ).
fof(f2681,definition,
! [X0] :
( sQ296_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f2682,plain,
! [X0] :
( ~ sQ296_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2681]) ).
fof(f2684,plain,
( ~ sQ90_spl
| ~ sQ20_spl
| sQ195_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f2655,f2681,f1429,f142,f381]) ).
fof(f2685,plain,
( ~ sQ90_spl
| ~ sQ20_spl
| sQ149_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f2656,f2681,f846,f142,f381]) ).
fof(f2686,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sQ138_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f2657,f2259,f786,f142,f78]) ).
fof(f2687,plain,
( ~ sQ0_spl
| ~ sQ20_spl
| sQ169_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f2658,f2259,f1144,f142,f78]) ).
fof(f2688,plain,
( ~ sQ20_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f2659,f504,f507,f142]) ).
fof(f2689,plain,
( ~ sQ20_spl
| sQ138_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f2660,f504,f786,f142]) ).
fof(f2690,plain,
( ~ sQ34_spl
| ~ sQ43_spl
| ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f192,f781]) ).
fof(f2691,plain,
( ~ sQ34_spl
| ~ sQ43_spl
| ~ sQ133_spl ),
inference(contradiction_clause,[status(thm)],[f2690]) ).
fof(f2692,plain,
( ~ sQ97_spl
| ~ sQ170_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f1384,f387,f1155,f403]) ).
fof(f2693,plain,
( ~ sQ16_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f130,f580]) ).
fof(f2694,plain,
( ~ sQ16_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f130,f579]) ).
fof(f2695,plain,
( ~ sQ16_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f130,f578]) ).
fof(f2696,plain,
( ~ sQ281_spl
| ~ sQ16_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f130,f2417]) ).
fof(f2698,plain,
( ~ sQ280_spl
| ~ sQ16_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f130,f2378]) ).
fof(f2699,plain,
( ~ sQ204_spl
| ~ sQ16_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f130,f1540]) ).
fof(f2700,plain,
( ~ sQ205_spl
| ~ sQ16_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f130,f1545]) ).
fof(f2701,plain,
( ~ sQ202_spl
| ~ sQ16_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f130,f1519]) ).
fof(f2702,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ16_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f130,f1079]) ).
fof(f2703,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ16_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f130,f1080]) ).
fof(f2704,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ16_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f130,f1857]) ).
fof(f2705,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ16_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f130,f1856]) ).
fof(f2706,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f130,f582]) ).
fof(f2707,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f130,f581]) ).
fof(f2713,definition,
! [X0] :
( sQ297_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f2714,plain,
! [X0] :
( ~ sQ297_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f2713]) ).
fof(f2716,plain,
( ~ sQ66_spl
| ~ sQ16_spl
| sQ128_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f2702,f2713,f553,f129,f299]) ).
fof(f2717,plain,
( ~ sQ66_spl
| ~ sQ16_spl
| sQ220_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f2703,f2713,f1718,f129,f299]) ).
fof(f2718,definition,
! [X0] :
( sQ298_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f2719,plain,
! [X0] :
( ~ sQ298_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2718]) ).
fof(f2721,plain,
( ~ sQ121_spl
| ~ sQ16_spl
| sQ188_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f2704,f2718,f1394,f129,f485]) ).
fof(f2722,plain,
( ~ sQ121_spl
| ~ sQ16_spl
| sQ146_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f2705,f2718,f827,f129,f485]) ).
fof(f2723,plain,
( ~ sQ16_spl
| sQ138_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2706,f550,f786,f129]) ).
fof(f2724,plain,
( ~ sQ16_spl
| sQ128_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2707,f550,f553,f129]) ).
fof(f2725,plain,
( ~ sQ18_spl
| ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f136,f852]) ).
fof(f2726,plain,
( ~ sQ18_spl
| ~ sQ148_spl ),
inference(contradiction_clause,[status(thm)],[f2725]) ).
fof(f2727,plain,
( ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f274,f1285]) ).
fof(f2728,plain,
( ~ sQ63_spl
| ~ sQ58_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f274,f1200]) ).
fof(f2729,plain,
( ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f274,f1284]) ).
fof(f2730,plain,
( ~ sQ8_spl
| ~ sQ58_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f274,f665]) ).
fof(f2731,plain,
( ~ sQ58_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f274,f1283]) ).
fof(f2732,plain,
( ~ sQ261_spl
| ~ sQ58_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f274,f2203]) ).
fof(f2733,plain,
( ~ sQ225_spl
| ~ sQ58_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f274,f1766]) ).
fof(f2734,plain,
( ~ sQ198_spl
| ~ sQ58_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f274,f1448]) ).
fof(f2735,plain,
! [X0] :
( ~ sQ63_spl
| ~ sQ58_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f274,f1202]) ).
fof(f2736,plain,
! [X0] :
( ~ sQ63_spl
| ~ sQ58_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f274,f1203]) ).
fof(f2737,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ58_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f274,f668]) ).
fof(f2738,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ58_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f274,f669]) ).
fof(f2739,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f274,f1286]) ).
fof(f2740,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f274,f1287]) ).
fof(f2746,plain,
( ~ sQ63_spl
| ~ sQ58_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f2728,f2546,f273,f289]) ).
fof(f2747,plain,
( ~ sQ8_spl
| ~ sQ58_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f2730,f1043,f273,f103]) ).
fof(f2748,plain,
( ~ sQ198_spl
| ~ sQ58_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f2734,f254,f273,f1447]) ).
fof(f2749,plain,
( ~ sQ63_spl
| ~ sQ58_spl
| sQ288_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f2735,f1416,f2546,f273,f289]) ).
fof(f2750,plain,
( ~ sQ63_spl
| ~ sQ58_spl
| sQ130_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f2736,f1416,f643,f273,f289]) ).
fof(f2751,plain,
( ~ sQ8_spl
| ~ sQ58_spl
| sQ132_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f2737,f1307,f657,f273,f103]) ).
fof(f2752,plain,
( ~ sQ8_spl
| ~ sQ58_spl
| sQ158_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f2738,f1307,f1043,f273,f103]) ).
fof(f2753,definition,
! [X0] :
( sQ299_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f2754,plain,
! [X0] :
( ~ sQ299_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2753]) ).
fof(f2756,plain,
( ~ sQ58_spl
| sQ132_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f2739,f2753,f657,f273]) ).
fof(f2757,plain,
( ~ sQ58_spl
| sQ130_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f2740,f2753,f643,f273]) ).
fof(f2758,plain,
! [X0] :
( ~ sQ299_spl
| ~ product(X0,e_4,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f2754]) ).
fof(f2759,plain,
( ~ sQ143_spl
| ~ sQ98_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f1366,f374,f406,f817]) ).
fof(f2760,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f667]) ).
fof(f2761,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f666]) ).
fof(f2762,plain,
( ~ sQ8_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f104,f665]) ).
fof(f2763,plain,
( ~ sQ261_spl
| ~ sQ8_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f104,f2203]) ).
fof(f2764,plain,
( ~ sQ225_spl
| ~ sQ8_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f104,f1766]) ).
fof(f2765,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ8_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f104,f735]) ).
fof(f2766,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ8_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f104,f734]) ).
fof(f2767,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ8_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f104,f1371]) ).
fof(f2768,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ8_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f104,f1370]) ).
fof(f2770,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f104,f669]) ).
fof(f2776,plain,
( ~ sQ43_spl
| ~ sQ8_spl
| sQ199_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f2765,f761,f1450,f103,f220]) ).
fof(f2777,plain,
( ~ sQ43_spl
| ~ sQ8_spl
| sQ156_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f2766,f761,f1015,f103,f220]) ).
fof(f2778,definition,
! [X0] :
( sQ300_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f2779,plain,
! [X0] :
( ~ sQ300_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f2778]) ).
fof(f2781,plain,
( ~ sQ98_spl
| ~ sQ8_spl
| sQ195_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f2767,f2778,f1429,f103,f406]) ).
fof(f2782,plain,
( ~ sQ98_spl
| ~ sQ8_spl
| sQ154_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f2768,f2778,f1005,f103,f406]) ).
fof(f2784,plain,
( ~ sQ8_spl
| sQ138_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f2770,f654,f786,f103]) ).
fof(f2785,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f149,f523]) ).
fof(f2786,plain,
( ~ sQ22_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f149,f522]) ).
fof(f2787,plain,
( ~ sQ122_spl
| ~ sQ22_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f149,f1842]) ).
fof(f2788,plain,
( ~ sQ22_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f149,f521]) ).
fof(f2789,plain,
( ~ sQ160_spl
| ~ sQ22_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f149,f1098]) ).
fof(f2790,plain,
( ~ sQ263_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f149,f2215]) ).
fof(f2791,plain,
( ~ sQ262_spl
| ~ sQ22_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f149,f2211]) ).
fof(f2793,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ22_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f149,f739]) ).
fof(f2794,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ22_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f149,f740]) ).
fof(f2795,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ22_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f149,f1846]) ).
fof(f2796,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ22_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f149,f1845]) ).
fof(f2797,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ22_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f149,f2143]) ).
fof(f2798,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ22_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f149,f2142]) ).
fof(f2799,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ22_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f149,f2099]) ).
fof(f2800,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ22_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f149,f2098]) ).
fof(f2801,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f149,f524]) ).
fof(f2802,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f149,f525]) ).
fof(f2808,plain,
( ~ sQ122_spl
| ~ sQ22_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f2787,f1394,f148,f488]) ).
fof(f2809,plain,
( ~ sQ42_spl
| ~ sQ22_spl
| sQ149_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f2793,f803,f846,f148,f217]) ).
fof(f2810,plain,
( ~ sQ42_spl
| ~ sQ22_spl
| sQ199_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f2794,f803,f1450,f148,f217]) ).
fof(f2811,plain,
( ~ sQ122_spl
| ~ sQ22_spl
| sQ188_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2795,f1952,f1394,f148,f488]) ).
fof(f2812,plain,
( ~ sQ122_spl
| ~ sQ22_spl
| sQ126_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f2796,f1952,f507,f148,f488]) ).
fof(f2813,plain,
( ~ sQ102_spl
| ~ sQ22_spl
| sQ188_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f2797,f2676,f1394,f148,f424]) ).
fof(f2814,plain,
( ~ sQ102_spl
| ~ sQ22_spl
| sQ169_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f2798,f2676,f1144,f148,f424]) ).
fof(f2815,plain,
( ~ sQ107_spl
| ~ sQ22_spl
| sQ188_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f2799,f2461,f1394,f148,f440]) ).
fof(f2816,plain,
( ~ sQ107_spl
| ~ sQ22_spl
| sQ136_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f2800,f2461,f771,f148,f440]) ).
fof(f2817,plain,
( ~ sQ22_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f2801,f504,f507,f148]) ).
fof(f2818,plain,
( ~ sQ22_spl
| sQ138_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f2802,f504,f786,f148]) ).
fof(f2819,plain,
( ~ sQ217_spl
| ~ sQ23_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2439,f81,f151,f1705]) ).
fof(f2820,plain,
( ~ sQ182_spl
| ~ sQ124_spl
| ~ sQ112_spl ),
inference(split_clause,[status(thm)],[f1790,f456,f494,f1269]) ).
fof(f2821,plain,
( ~ sQ10_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f111,f634]) ).
fof(f2822,plain,
( ~ sQ10_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f111,f633]) ).
fof(f2823,plain,
( ~ sQ85_spl
| ~ sQ10_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f111,f1591]) ).
fof(f2824,plain,
( ~ sQ35_spl
| ~ sQ10_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f111,f893]) ).
fof(f2825,plain,
( ~ sQ10_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f111,f632]) ).
fof(f2826,plain,
( ~ sQ293_spl
| ~ sQ10_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f111,f2619]) ).
fof(f2827,plain,
( ~ sQ269_spl
| ~ sQ10_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f111,f2265]) ).
fof(f2829,plain,
( ~ sQ251_spl
| ~ sQ10_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f111,f2074]) ).
fof(f2830,plain,
( ~ sQ252_spl
| ~ sQ10_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f111,f2079]) ).
fof(f2831,plain,
( ~ sQ247_spl
| ~ sQ10_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f111,f2041]) ).
fof(f2832,plain,
( ~ sQ244_spl
| ~ sQ10_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f111,f2000]) ).
fof(f2833,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ10_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f111,f1085]) ).
fof(f2834,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ10_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f111,f1084]) ).
fof(f2835,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ10_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f111,f1594]) ).
fof(f2836,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ10_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f111,f1595]) ).
fof(f2837,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ10_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f111,f1917]) ).
fof(f2838,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ10_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f111,f1918]) ).
fof(f2839,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ10_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f111,f897]) ).
fof(f2840,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ10_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f111,f896]) ).
fof(f2841,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ10_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f111,f1781]) ).
fof(f2842,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ10_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f111,f1782]) ).
fof(f2844,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f111,f636]) ).
fof(f2850,plain,
( ~ sQ85_spl
| ~ sQ10_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f2823,f1429,f110,f365]) ).
fof(f2851,plain,
( ~ sQ35_spl
| ~ sQ10_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f2824,f1450,f110,f195]) ).
fof(f2852,plain,
( ~ sQ269_spl
| ~ sQ10_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2827,f90,f110,f2264]) ).
fof(f2853,plain,
( ~ sQ251_spl
| ~ sQ10_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f2829,f97,f110,f2073]) ).
fof(f2854,definition,
! [X0] :
( sQ301_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f2855,plain,
! [X0] :
( ~ sQ301_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f2854]) ).
fof(f2857,plain,
( ~ sQ65_spl
| ~ sQ10_spl
| sQ220_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f2833,f2854,f1718,f110,f296]) ).
fof(f2858,plain,
( ~ sQ65_spl
| ~ sQ10_spl
| sQ177_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f2834,f2854,f1208,f110,f296]) ).
fof(f2859,definition,
! [X0] :
( sQ302_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f2860,plain,
! [X0] :
( ~ sQ302_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f2859]) ).
fof(f2862,plain,
( ~ sQ85_spl
| ~ sQ10_spl
| sQ130_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f2835,f2859,f643,f110,f365]) ).
fof(f2863,plain,
( ~ sQ85_spl
| ~ sQ10_spl
| sQ195_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f2836,f2859,f1429,f110,f365]) ).
fof(f2864,definition,
! [X0] :
( sQ303_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f2865,plain,
! [X0] :
( ~ sQ303_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f2864]) ).
fof(f2867,plain,
( ~ sQ115_spl
| ~ sQ10_spl
| sQ177_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f2837,f2864,f1208,f110,f466]) ).
fof(f2868,plain,
( ~ sQ115_spl
| ~ sQ10_spl
| sQ188_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f2838,f2864,f1394,f110,f466]) ).
fof(f2869,definition,
! [X0] :
( sQ304_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f2870,plain,
! [X0] :
( ~ sQ304_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f2869]) ).
fof(f2872,plain,
( ~ sQ35_spl
| ~ sQ10_spl
| sQ199_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f2839,f2869,f1450,f110,f195]) ).
fof(f2873,plain,
( ~ sQ35_spl
| ~ sQ10_spl
| sQ130_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f2840,f2869,f643,f110,f195]) ).
fof(f2874,plain,
( ~ sQ75_spl
| ~ sQ10_spl
| sQ158_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f2841,f1715,f1043,f110,f333]) ).
fof(f2875,plain,
( ~ sQ75_spl
| ~ sQ10_spl
| sQ195_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f2842,f1715,f1429,f110,f333]) ).
fof(f2877,plain,
( ~ sQ10_spl
| sQ138_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f2844,f640,f786,f110]) ).
fof(f2878,plain,
( ~ sQ77_spl
| ~ sQ189_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f340,f1479]) ).
fof(f2879,plain,
( ~ sQ77_spl
| ~ sQ189_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f2878]) ).
fof(f2880,plain,
( ~ sQ186_spl
| ~ sQ68_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f2340,f270,f305,f1319]) ).
fof(f2881,plain,
( ~ sQ68_spl
| ~ sQ272_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f2347,f260,f2279,f305]) ).
fof(f2882,plain,
( ~ sQ97_spl
| ~ sQ168_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f1385,f342,f1141,f403]) ).
fof(f2883,plain,
( ~ sQ107_spl
| ~ sQ299_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f441,f2758]) ).
fof(f2884,plain,
( ~ sQ107_spl
| ~ sQ299_spl ),
inference(contradiction_clause,[status(thm)],[f2883]) ).
fof(f2885,plain,
( ~ sQ16_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f130,f580]) ).
fof(f2886,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f130,f686]) ).
fof(f2887,plain,
( ~ sQ16_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f130,f579]) ).
fof(f2888,plain,
( ~ sQ16_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f130,f578]) ).
fof(f2890,plain,
( ~ sQ279_spl
| ~ sQ16_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f130,f2371]) ).
fof(f2894,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ16_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f130,f689]) ).
fof(f2895,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ16_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f130,f688]) ).
fof(f2896,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ16_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f130,f943]) ).
fof(f2897,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ16_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f130,f944]) ).
fof(f2905,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f2886,f764,f129,f97]) ).
fof(f2906,definition,
! [X0] :
( sQ305_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f2907,plain,
! [X0] :
( ~ sQ305_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2906]) ).
fof(f2909,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sQ138_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f2894,f2906,f786,f129,f97]) ).
fof(f2910,plain,
( ~ sQ6_spl
| ~ sQ16_spl
| sQ134_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f2895,f2906,f764,f129,f97]) ).
fof(f2911,plain,
( ~ sQ31_spl
| ~ sQ16_spl
| sQ134_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f2896,f1012,f764,f129,f182]) ).
fof(f2912,plain,
( ~ sQ31_spl
| ~ sQ16_spl
| sQ199_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f2897,f1012,f1450,f129,f182]) ).
fof(f2915,plain,
( ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f218,f738]) ).
fof(f2916,plain,
( ~ sQ27_spl
| ~ sQ42_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f218,f985]) ).
fof(f2917,plain,
( ~ sQ42_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f737]) ).
fof(f2918,plain,
( ~ sQ301_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f218,f2855]) ).
fof(f2919,plain,
( ~ sQ42_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f218,f736]) ).
fof(f2920,plain,
( ~ sQ161_spl
| ~ sQ42_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f218,f1107]) ).
fof(f2921,plain,
( ~ sQ297_spl
| ~ sQ42_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f218,f2714]) ).
fof(f2922,plain,
( ~ sQ164_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f218,f1124]) ).
fof(f2923,plain,
( ~ sQ181_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f218,f1263]) ).
fof(f2925,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ42_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f218,f1343]) ).
fof(f2926,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ42_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f218,f1342]) ).
fof(f2927,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ42_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f218,f1729]) ).
fof(f2928,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ42_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f218,f1728]) ).
fof(f2929,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ42_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f218,f1576]) ).
fof(f2930,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ42_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f218,f1575]) ).
fof(f2931,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ42_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f218,f988]) ).
fof(f2932,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ42_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f218,f987]) ).
fof(f2933,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ42_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f218,f2021]) ).
fof(f2934,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ42_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f218,f2022]) ).
fof(f2936,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f218,f740]) ).
fof(f2942,plain,
( ~ sQ27_spl
| ~ sQ42_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f2916,f1137,f217,f169]) ).
fof(f2943,plain,
( ~ sQ52_spl
| ~ sQ42_spl
| sQ288_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f2925,f2543,f2546,f217,f254]) ).
fof(f2944,plain,
( ~ sQ52_spl
| ~ sQ42_spl
| sQ167_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f2926,f2543,f1137,f217,f254]) ).
fof(f2945,plain,
( ~ sQ77_spl
| ~ sQ42_spl
| sQ156_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f2927,f1783,f1015,f217,f339]) ).
fof(f2946,plain,
( ~ sQ77_spl
| ~ sQ42_spl
| sQ167_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f2928,f1783,f1137,f217,f339]) ).
fof(f2947,plain,
( ~ sQ87_spl
| ~ sQ42_spl
| sQ156_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f2929,f2556,f1015,f217,f371]) ).
fof(f2948,plain,
( ~ sQ87_spl
| ~ sQ42_spl
| sQ203_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f2930,f2556,f1521,f217,f371]) ).
fof(f2949,plain,
( ~ sQ27_spl
| ~ sQ42_spl
| sQ132_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f2931,f2551,f657,f217,f169]) ).
fof(f2950,plain,
( ~ sQ27_spl
| ~ sQ42_spl
| sQ167_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f2932,f2551,f1137,f217,f169]) ).
fof(f2951,plain,
( ~ sQ112_spl
| ~ sQ42_spl
| sQ203_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2933,f2045,f1521,f217,f456]) ).
fof(f2952,plain,
( ~ sQ112_spl
| ~ sQ42_spl
| sQ154_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2934,f2045,f1005,f217,f456]) ).
fof(f2954,plain,
( ~ sQ42_spl
| sQ132_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f2936,f842,f657,f217]) ).
fof(f2955,plain,
( ~ sQ31_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f183,f942]) ).
fof(f2956,plain,
( ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f183,f941]) ).
fof(f2957,plain,
( ~ sQ56_spl
| ~ sQ31_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f183,f1314]) ).
fof(f2958,plain,
( ~ sQ6_spl
| ~ sQ31_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f183,f685]) ).
fof(f2959,plain,
( ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f183,f940]) ).
fof(f2960,plain,
( ~ sQ274_spl
| ~ sQ31_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f183,f2301]) ).
fof(f2961,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ31_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f183,f1057]) ).
fof(f2962,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ31_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f183,f1058]) ).
fof(f2963,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ31_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f183,f1383]) ).
fof(f2964,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ31_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f183,f1382]) ).
fof(f2965,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ31_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f183,f627]) ).
fof(f2966,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ31_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f183,f628]) ).
fof(f2967,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ31_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f183,f689]) ).
fof(f2968,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ31_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f183,f688]) ).
fof(f2976,plain,
( ~ sQ56_spl
| ~ sQ31_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f2957,f2546,f182,f267]) ).
fof(f2977,plain,
( ~ sQ6_spl
| ~ sQ31_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f2958,f799,f182,f97]) ).
fof(f2978,plain,
( ~ sQ274_spl
| ~ sQ31_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2960,f175,f182,f2300]) ).
fof(f2979,definition,
! [X0] :
( sQ306_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f2980,plain,
! [X0] :
( ~ sQ306_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f2979]) ).
fof(f2982,plain,
( ~ sQ71_spl
| ~ sQ31_spl
| sQ154_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f2961,f2979,f1005,f182,f315]) ).
fof(f2983,plain,
( ~ sQ71_spl
| ~ sQ31_spl
| sQ288_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f2962,f2979,f2546,f182,f315]) ).
fof(f2984,definition,
! [X0] :
( sQ307_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f2985,plain,
! [X0] :
( ~ sQ307_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f2984]) ).
fof(f2987,plain,
( ~ sQ96_spl
| ~ sQ31_spl
| sQ156_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f2963,f2984,f1015,f182,f400]) ).
fof(f2988,plain,
( ~ sQ96_spl
| ~ sQ31_spl
| sQ154_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f2964,f2984,f1005,f182,f400]) ).
fof(f2989,definition,
! [X0] :
( sQ308_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f2990,plain,
! [X0] :
( ~ sQ308_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f2989]) ).
fof(f2992,plain,
( ~ sQ11_spl
| ~ sQ31_spl
| sQ288_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f2965,f2989,f2546,f182,f113]) ).
fof(f2993,plain,
( ~ sQ11_spl
| ~ sQ31_spl
| sQ140_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f2966,f2989,f799,f182,f113]) ).
fof(f2994,definition,
! [X0] :
( sQ309_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f2995,plain,
! [X0] :
( ~ sQ309_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2994]) ).
fof(f2997,plain,
( ~ sQ6_spl
| ~ sQ31_spl
| sQ140_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f2967,f2994,f799,f182,f97]) ).
fof(f2998,plain,
( ~ sQ6_spl
| ~ sQ31_spl
| sQ132_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f2968,f2994,f657,f182,f97]) ).
fof(f3001,plain,
( ~ sQ0_spl
| ~ sQ262_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f79,f2791]) ).
fof(f3002,plain,
( ~ sQ0_spl
| ~ sQ262_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f3001]) ).
fof(f3003,plain,
( ~ sQ57_spl
| ~ sQ299_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f271,f2758]) ).
fof(f3004,plain,
( ~ sQ57_spl
| ~ sQ299_spl ),
inference(contradiction_clause,[status(thm)],[f3003]) ).
fof(f3005,plain,
( ~ sQ6_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f98,f687]) ).
fof(f3006,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f98,f625]) ).
fof(f3007,plain,
( ~ sQ6_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f98,f686]) ).
fof(f3008,plain,
( ~ sQ6_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f98,f685]) ).
fof(f3009,plain,
( ~ sQ274_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f98,f2301]) ).
fof(f3010,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ6_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f98,f627]) ).
fof(f3011,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ6_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f98,f628]) ).
fof(f3012,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f98,f689]) ).
fof(f3019,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f3006,f2546,f97,f113]) ).
fof(f3020,plain,
( ~ sQ274_spl
| ~ sQ6_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3009,f90,f97,f2300]) ).
fof(f3021,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sQ288_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f3010,f2596,f2546,f97,f113]) ).
fof(f3022,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| sQ138_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f3011,f2596,f786,f97,f113]) ).
fof(f3023,plain,
( ~ sQ6_spl
| sQ138_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f3012,f654,f786,f97]) ).
fof(f3025,plain,
( ~ sQ90_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f382,f1536]) ).
fof(f3026,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f382,f1535]) ).
fof(f3027,plain,
( ~ sQ15_spl
| ~ sQ90_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f382,f588]) ).
fof(f3028,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f382,f1534]) ).
fof(f3029,plain,
( ~ sQ303_spl
| ~ sQ90_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f382,f2865]) ).
fof(f3030,plain,
( ~ sQ275_spl
| ~ sQ90_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f382,f2319]) ).
fof(f3031,plain,
( ~ sQ232_spl
| ~ sQ90_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f382,f1910]) ).
fof(f3032,plain,
( ~ sQ239_spl
| ~ sQ90_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f382,f1961]) ).
fof(f3033,plain,
( ~ sQ233_spl
| ~ sQ90_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f382,f1929]) ).
fof(f3034,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ90_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f382,f591]) ).
fof(f3035,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ90_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f382,f592]) ).
fof(f3036,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f382,f1538]) ).
fof(f3043,plain,
( ~ sQ15_spl
| ~ sQ90_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f3027,f1137,f381,f126]) ).
fof(f3044,plain,
( ~ sQ232_spl
| ~ sQ90_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f3031,f374,f381,f1909]) ).
fof(f3045,plain,
( ~ sQ15_spl
| ~ sQ90_spl
| sQ128_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f3034,f2416,f553,f381,f126]) ).
fof(f3046,plain,
( ~ sQ15_spl
| ~ sQ90_spl
| sQ167_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f3035,f2416,f1137,f381,f126]) ).
fof(f3047,plain,
( ~ sQ90_spl
| sQ128_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f3036,f1497,f553,f381]) ).
fof(f3049,plain,
( ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f221,f733]) ).
fof(f3050,plain,
( ~ sQ38_spl
| ~ sQ43_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f221,f754]) ).
fof(f3051,plain,
( ~ sQ43_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f221,f732]) ).
fof(f3052,plain,
( ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f221,f731]) ).
fof(f3054,plain,
( ~ sQ186_spl
| ~ sQ43_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f221,f1320]) ).
fof(f3055,plain,
( ~ sQ287_spl
| ~ sQ43_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f221,f2544]) ).
fof(f3056,plain,
( ~ sQ289_spl
| ~ sQ43_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f221,f2552]) ).
fof(f3057,plain,
( ~ sQ290_spl
| ~ sQ43_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f221,f2557]) ).
fof(f3058,plain,
( ~ sQ272_spl
| ~ sQ43_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f221,f2280]) ).
fof(f3059,plain,
( ~ sQ248_spl
| ~ sQ43_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f221,f2046]) ).
fof(f3060,plain,
( ~ sQ226_spl
| ~ sQ43_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f221,f1784]) ).
fof(f3061,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ43_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f221,f564]) ).
fof(f3062,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ43_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f221,f563]) ).
fof(f3063,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ43_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f221,f1561]) ).
fof(f3064,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ43_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f221,f1560]) ).
fof(f3065,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ43_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f221,f757]) ).
fof(f3066,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ43_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f221,f756]) ).
fof(f3067,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ43_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f221,f611]) ).
fof(f3068,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ43_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f221,f612]) ).
fof(f3069,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ43_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f221,f2093]) ).
fof(f3070,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ43_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f221,f2092]) ).
fof(f3071,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ43_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f221,f1704]) ).
fof(f3072,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ43_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f221,f1703]) ).
fof(f3073,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ43_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f221,f1981]) ).
fof(f3074,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ43_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f221,f1982]) ).
fof(f3075,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f221,f735]) ).
fof(f3076,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f221,f734]) ).
fof(f3082,plain,
( ~ sQ38_spl
| ~ sQ43_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f3050,f1521,f220,f204]) ).
fof(f3083,plain,
( ~ sQ186_spl
| ~ sQ43_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f3054,f185,f220,f1319]) ).
fof(f3084,plain,
( ~ sQ272_spl
| ~ sQ43_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f3058,f175,f220,f2279]) ).
fof(f3085,definition,
! [X0] :
( sQ310_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f3086,plain,
! [X0] :
( ~ sQ310_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f3085]) ).
fof(f3088,plain,
( ~ sQ18_spl
| ~ sQ43_spl
| sQ140_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f3061,f3085,f799,f220,f135]) ).
fof(f3089,plain,
( ~ sQ18_spl
| ~ sQ43_spl
| sQ128_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f3062,f3085,f553,f220,f135]) ).
fof(f3090,plain,
( ~ sQ88_spl
| ~ sQ43_spl
| sQ156_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f3063,f2556,f1015,f220,f374]) ).
fof(f3091,plain,
( ~ sQ88_spl
| ~ sQ43_spl
| sQ203_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f3064,f2556,f1521,f220,f374]) ).
fof(f3092,definition,
! [X0] :
( sQ311_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f3093,plain,
! [X0] :
( ~ sQ311_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f3092]) ).
fof(f3095,plain,
( ~ sQ38_spl
| ~ sQ43_spl
| sQ132_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3065,f3092,f657,f220,f204]) ).
fof(f3096,plain,
( ~ sQ38_spl
| ~ sQ43_spl
| sQ203_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3066,f3092,f1521,f220,f204]) ).
fof(f3097,definition,
! [X0] :
( sQ312_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f3098,plain,
! [X0] :
( ~ sQ312_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f3097]) ).
fof(f3100,plain,
( ~ sQ13_spl
| ~ sQ43_spl
| sQ203_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f3067,f3097,f1521,f220,f119]) ).
fof(f3101,plain,
( ~ sQ13_spl
| ~ sQ43_spl
| sQ140_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f3068,f3097,f799,f220,f119]) ).
fof(f3102,definition,
! [X0] :
( sQ313_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f3103,plain,
! [X0] :
( ~ sQ313_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f3102]) ).
fof(f3105,plain,
( ~ sQ108_spl
| ~ sQ43_spl
| sQ154_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f3069,f3102,f1005,f220,f443]) ).
fof(f3106,plain,
( ~ sQ108_spl
| ~ sQ43_spl
| sQ134_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f3070,f3102,f764,f220,f443]) ).
fof(f3107,plain,
( ~ sQ78_spl
| ~ sQ43_spl
| sQ156_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f3071,f1783,f1015,f220,f342]) ).
fof(f3108,plain,
( ~ sQ78_spl
| ~ sQ43_spl
| sQ167_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f3072,f1783,f1137,f220,f342]) ).
fof(f3109,plain,
( ~ sQ113_spl
| ~ sQ43_spl
| sQ203_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f3073,f2045,f1521,f220,f459]) ).
fof(f3110,plain,
( ~ sQ113_spl
| ~ sQ43_spl
| sQ154_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f3074,f2045,f1005,f220,f459]) ).
fof(f3111,plain,
( ~ sQ43_spl
| sQ132_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f3075,f842,f657,f220]) ).
fof(f3112,plain,
( ~ sQ43_spl
| sQ128_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f3076,f842,f553,f220]) ).
fof(f3113,plain,
( ~ sQ250_spl
| ~ sQ19_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f2388,f110,f138,f2068]) ).
fof(f3114,plain,
( ~ sQ208_spl
| ~ sQ19_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2389,f81,f138,f1637]) ).
fof(f3115,plain,
( ~ sQ254_spl
| ~ sQ19_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2387,f94,f138,f2124]) ).
fof(f3116,plain,
( ~ sQ180_spl
| ~ sQ98_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1362,f371,f406,f1245]) ).
fof(f3117,plain,
( ~ sQ116_spl
| ~ sQ201_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f470,f1501]) ).
fof(f3118,plain,
( ~ sQ116_spl
| ~ sQ201_spl ),
inference(contradiction_clause,[status(thm)],[f3117]) ).
fof(f3119,plain,
( ~ sQ166_spl
| ~ sQ92_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f1509,f342,f387,f1134]) ).
fof(f3121,plain,
( ~ sQ43_spl
| ~ sQ312_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f3098,f221]) ).
fof(f3122,plain,
( ~ sQ43_spl
| ~ sQ311_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f3093,f221]) ).
fof(f3123,plain,
( ~ sQ43_spl
| ~ sQ310_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f3086,f221]) ).
fof(f3124,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ98_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1370,f221]) ).
fof(f3125,plain,
( ~ sQ43_spl
| ~ sQ98_spl
| sQ146_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f3124,f1666,f827,f406,f220]) ).
fof(f3126,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ98_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1371,f221]) ).
fof(f3127,plain,
( ~ sQ43_spl
| ~ sQ98_spl
| sQ156_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f3126,f1666,f1015,f406,f220]) ).
fof(f3128,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ73_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1037,f221]) ).
fof(f3129,plain,
( ~ sQ43_spl
| ~ sQ73_spl
| sQ146_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f3128,f1110,f827,f321,f220]) ).
fof(f3130,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f530]) ).
fof(f3131,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f146,f2290]) ).
fof(f3132,plain,
( ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f529]) ).
fof(f3133,plain,
( ~ sQ21_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f528]) ).
fof(f3134,plain,
( ~ sQ259_spl
| ~ sQ21_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f146,f2190]) ).
fof(f3135,plain,
( ~ sQ307_spl
| ~ sQ21_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f146,f2985]) ).
fof(f3137,plain,
( ~ sQ212_spl
| ~ sQ21_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f146,f1667]) ).
fof(f3139,plain,
( ~ sQ284_spl
| ~ sQ21_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f146,f2469]) ).
fof(f3140,plain,
( ~ sQ258_spl
| ~ sQ21_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f146,f2185]) ).
fof(f3141,plain,
( ~ sQ260_spl
| ~ sQ21_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f146,f2195]) ).
fof(f3142,plain,
( ~ sQ256_spl
| ~ sQ21_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f146,f2177]) ).
fof(f3143,plain,
( ~ sQ257_spl
| ~ sQ21_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f146,f2181]) ).
fof(f3144,plain,
( ~ sQ221_spl
| ~ sQ21_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f146,f1746]) ).
fof(f3145,plain,
( ~ sQ242_spl
| ~ sQ21_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f146,f1990]) ).
fof(f3146,plain,
( ~ sQ209_spl
| ~ sQ21_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f146,f1645]) ).
fof(f3147,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ21_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f146,f1908]) ).
fof(f3148,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ21_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f146,f1907]) ).
fof(f3149,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ21_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f146,f2107]) ).
fof(f3150,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ21_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f146,f2106]) ).
fof(f3151,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ21_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f2293]) ).
fof(f3152,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ21_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f2292]) ).
fof(f3153,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ21_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f146,f943]) ).
fof(f3154,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ21_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f146,f944]) ).
fof(f3155,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f146,f532]) ).
fof(f3156,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f146,f531]) ).
fof(f3162,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f3131,f1144,f145,f81]) ).
fof(f3163,plain,
( ~ sQ257_spl
| ~ sQ21_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3143,f94,f145,f2180]) ).
fof(f3164,plain,
( ~ sQ221_spl
| ~ sQ21_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f3144,f81,f145,f1745]) ).
fof(f3165,plain,
( ~ sQ242_spl
| ~ sQ21_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f3145,f110,f145,f1989]) ).
fof(f3166,plain,
( ~ sQ116_spl
| ~ sQ21_spl
| sQ188_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f3147,f1948,f1394,f145,f469]) ).
fof(f3167,plain,
( ~ sQ116_spl
| ~ sQ21_spl
| sQ149_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f3148,f1948,f846,f145,f469]) ).
fof(f3168,plain,
( ~ sQ106_spl
| ~ sQ21_spl
| sQ188_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f3149,f2461,f1394,f145,f437]) ).
fof(f3169,plain,
( ~ sQ106_spl
| ~ sQ21_spl
| sQ136_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f3150,f2461,f771,f145,f437]) ).
fof(f3170,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| sQ138_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f3151,f2259,f786,f145,f81]) ).
fof(f3171,plain,
( ~ sQ1_spl
| ~ sQ21_spl
| sQ169_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f3152,f2259,f1144,f145,f81]) ).
fof(f3172,plain,
( ~ sQ31_spl
| ~ sQ21_spl
| sQ136_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f3153,f1002,f771,f145,f182]) ).
fof(f3173,plain,
( ~ sQ31_spl
| ~ sQ21_spl
| sQ199_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f3154,f1002,f1450,f145,f182]) ).
fof(f3174,plain,
( ~ sQ21_spl
| sQ138_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f3155,f504,f786,f145]) ).
fof(f3175,plain,
( ~ sQ21_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f3156,f504,f507,f145]) ).
fof(f3176,plain,
( ~ sQ263_spl
| ~ sQ22_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2790,f94,f148,f2214]) ).
fof(f3177,plain,
( ~ sQ279_spl
| ~ sQ16_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f2890,f94,f129,f2370]) ).
fof(f3179,plain,
( ~ sQ233_spl
| ~ sQ90_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f3033,f336,f381,f1928]) ).
fof(f3180,plain,
( ~ sQ214_spl
| ~ sQ119_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f1867,f459,f478,f1676]) ).
fof(f3181,plain,
( ~ sQ164_spl
| ~ sQ117_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f1885,f459,f472,f1123]) ).
fof(f3182,plain,
( ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f95,f697]) ).
fof(f3183,plain,
( ~ sQ5_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f95,f696]) ).
fof(f3184,plain,
( ~ sQ5_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f95,f695]) ).
fof(f3185,plain,
( ~ sQ265_spl
| ~ sQ5_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f95,f2245]) ).
fof(f3186,plain,
( ~ sQ253_spl
| ~ sQ5_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f95,f2120]) ).
fof(f3188,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f95,f699]) ).
fof(f3195,plain,
( ~ sQ5_spl
| sQ138_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f3188,f654,f786,f94]) ).
fof(f3197,definition,
! [X0] :
( sQ314_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f3198,plain,
! [X0] :
( ~ sQ314_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f3197]) ).
fof(f3203,plain,
( ~ sQ265_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3185,f90,f94,f2244]) ).
fof(f3204,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ50_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1352,f95]) ).
fof(f3205,definition,
! [X0] :
( sQ315_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f3206,plain,
! [X0] :
( ~ sQ315_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f3205]) ).
fof(f3208,plain,
( ~ sQ5_spl
| ~ sQ50_spl
| sQ140_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f3204,f3205,f799,f248,f94]) ).
fof(f3209,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ55_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1327,f95]) ).
fof(f3210,plain,
( ~ sQ5_spl
| ~ sQ55_spl
| sQ132_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f3209,f1307,f657,f264,f94]) ).
fof(f3211,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ60_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1260,f95]) ).
fof(f3212,definition,
! [X0] :
( sQ316_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f3213,plain,
! [X0] :
( ~ sQ316_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f3212]) ).
fof(f3215,plain,
( ~ sQ5_spl
| ~ sQ60_spl
| sQ288_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f3211,f3212,f2546,f280,f94]) ).
fof(f3216,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ30_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f956,f95]) ).
fof(f3217,plain,
( ~ sQ5_spl
| ~ sQ30_spl
| sQ132_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f3216,f2994,f657,f179,f94]) ).
fof(f3218,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ115_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1918,f95]) ).
fof(f3219,definition,
! [X0] :
( sQ317_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f3220,plain,
! [X0] :
( ~ sQ317_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f3219]) ).
fof(f3222,plain,
( ~ sQ5_spl
| ~ sQ115_spl
| sQ188_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f3218,f3219,f1394,f466,f94]) ).
fof(f3223,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ65_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1084,f95]) ).
fof(f3224,definition,
! [X0] :
( sQ318_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f3225,plain,
! [X0] :
( ~ sQ318_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f3224]) ).
fof(f3227,plain,
( ~ sQ5_spl
| ~ sQ65_spl
| sQ156_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f3223,f3224,f1015,f296,f94]) ).
fof(f3228,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ65_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1085,f95]) ).
fof(f3229,plain,
( ~ sQ5_spl
| ~ sQ65_spl
| sQ220_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f3228,f3224,f1718,f296,f94]) ).
fof(f3230,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ120_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1864,f95]) ).
fof(f3231,definition,
! [X0] :
( sQ319_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f3232,plain,
! [X0] :
( ~ sQ319_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f3231]) ).
fof(f3234,plain,
( ~ sQ5_spl
| ~ sQ120_spl
| sQ154_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f3230,f3231,f1005,f482,f94]) ).
fof(f3235,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ100_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2155,f95]) ).
fof(f3236,definition,
! [X0] :
( sQ320_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f3237,plain,
! [X0] :
( ~ sQ320_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f3236]) ).
fof(f3239,plain,
( ~ sQ5_spl
| ~ sQ100_spl
| sQ140_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f3235,f3236,f799,f418,f94]) ).
fof(f3240,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ100_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2156,f95]) ).
fof(f3241,plain,
( ~ sQ5_spl
| ~ sQ100_spl
| sQ188_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f3240,f3236,f1394,f418,f94]) ).
fof(f3242,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ90_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1537,f95]) ).
fof(f3243,definition,
! [X0] :
( sQ321_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f3244,plain,
! [X0] :
( ~ sQ321_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f3243]) ).
fof(f3246,plain,
( ~ sQ5_spl
| ~ sQ90_spl
| sQ156_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f3242,f3243,f1015,f381,f94]) ).
fof(f3247,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ75_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1782,f95]) ).
fof(f3248,plain,
( ~ sQ5_spl
| ~ sQ75_spl
| sQ195_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f3247,f1710,f1429,f333,f94]) ).
fof(f3255,plain,
( ~ sQ37_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f202,f867]) ).
fof(f3256,plain,
( ~ sQ42_spl
| ~ sQ37_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f202,f737]) ).
fof(f3257,plain,
( ~ sQ37_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f202,f866]) ).
fof(f3258,plain,
( ~ sQ174_spl
| ~ sQ37_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f202,f1187]) ).
fof(f3259,plain,
( ~ sQ316_spl
| ~ sQ37_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f202,f3213]) ).
fof(f3260,plain,
( ~ sQ37_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f202,f865]) ).
fof(f3261,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f202,f1300]) ).
fof(f3262,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ37_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f202,f1301]) ).
fof(f3263,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ37_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f202,f2099]) ).
fof(f3264,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ37_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f202,f2098]) ).
fof(f3265,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ37_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f202,f1729]) ).
fof(f3266,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ37_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f202,f1728]) ).
fof(f3267,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ37_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f202,f1378]) ).
fof(f3268,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ37_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f202,f1377]) ).
fof(f3269,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ37_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f202,f739]) ).
fof(f3270,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ37_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f202,f740]) ).
fof(f3271,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f202,f869]) ).
fof(f3272,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f202,f868]) ).
fof(f3278,plain,
( ~ sQ42_spl
| ~ sQ37_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f3256,f1208,f201,f217]) ).
fof(f3279,plain,
( ~ sQ316_spl
| ~ sQ37_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f3259,f191,f201,f3212]) ).
fof(f3280,definition,
! [X0] :
( sQ322_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f3281,plain,
! [X0] :
( ~ sQ322_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f3280]) ).
fof(f3283,plain,
( ~ sQ57_spl
| ~ sQ37_spl
| sQ163_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f3261,f3280,f1115,f201,f270]) ).
fof(f3284,plain,
( ~ sQ57_spl
| ~ sQ37_spl
| sQ288_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f3262,f3280,f2546,f201,f270]) ).
fof(f3285,definition,
! [X0] :
( sQ323_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f3286,plain,
! [X0] :
( ~ sQ323_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f3285]) ).
fof(f3288,plain,
( ~ sQ107_spl
| ~ sQ37_spl
| sQ154_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f3263,f3285,f1005,f201,f440]) ).
fof(f3289,plain,
( ~ sQ107_spl
| ~ sQ37_spl
| sQ163_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f3264,f3285,f1115,f201,f440]) ).
fof(f3290,plain,
( ~ sQ77_spl
| ~ sQ37_spl
| sQ156_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f3265,f1750,f1015,f201,f339]) ).
fof(f3291,plain,
( ~ sQ77_spl
| ~ sQ37_spl
| sQ158_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f3266,f1750,f1043,f201,f339]) ).
fof(f3292,plain,
( ~ sQ97_spl
| ~ sQ37_spl
| sQ156_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f3267,f2494,f1015,f201,f403]) ).
fof(f3293,plain,
( ~ sQ97_spl
| ~ sQ37_spl
| sQ144_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f3268,f2494,f820,f201,f403]) ).
fof(f3294,plain,
( ~ sQ42_spl
| ~ sQ37_spl
| sQ177_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3269,f3092,f1208,f201,f217]) ).
fof(f3295,plain,
( ~ sQ42_spl
| ~ sQ37_spl
| sQ132_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3270,f3092,f657,f201,f217]) ).
fof(f3296,plain,
( ~ sQ37_spl
| sQ132_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f3271,f880,f657,f201]) ).
fof(f3297,plain,
( ~ sQ37_spl
| sQ130_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f3272,f880,f643,f201]) ).
fof(f3298,plain,
( ~ sQ187_spl
| ~ sQ124_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f1789,f424,f494,f1391]) ).
fof(f3299,plain,
( ~ sQ139_spl
| ~ sQ124_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f1788,f459,f494,f796]) ).
fof(f3300,plain,
( ~ sQ248_spl
| ~ sQ68_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f2338,f280,f305,f2045]) ).
fof(f3301,plain,
( ~ sQ46_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f231,f721]) ).
fof(f3302,plain,
( ~ sQ46_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f231,f720]) ).
fof(f3303,plain,
( ~ sQ46_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f231,f719]) ).
fof(f3304,plain,
( ~ sQ259_spl
| ~ sQ46_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f231,f2190]) ).
fof(f3305,plain,
( ~ sQ307_spl
| ~ sQ46_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f231,f2985]) ).
fof(f3306,plain,
( ~ sQ300_spl
| ~ sQ46_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f231,f2779]) ).
fof(f3307,plain,
( ~ sQ212_spl
| ~ sQ46_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f231,f1667]) ).
fof(f3308,plain,
( ~ sQ285_spl
| ~ sQ46_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f231,f2495]) ).
fof(f3309,plain,
( ~ sQ284_spl
| ~ sQ46_spl
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f231,f2469]) ).
fof(f3310,plain,
( ~ sQ258_spl
| ~ sQ46_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f231,f2185]) ).
fof(f3311,plain,
( ~ sQ260_spl
| ~ sQ46_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f231,f2195]) ).
fof(f3312,plain,
( ~ sQ256_spl
| ~ sQ46_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f231,f2177]) ).
fof(f3313,plain,
( ~ sQ209_spl
| ~ sQ46_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f231,f1645]) ).
fof(f3314,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ46_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f231,f999]) ).
fof(f3315,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ46_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f231,f998]) ).
fof(f3316,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ46_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f231,f1618]) ).
fof(f3317,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ46_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f231,f1619]) ).
fof(f3318,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ46_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f231,f627]) ).
fof(f3319,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ46_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f231,f628]) ).
fof(f3320,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ46_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f231,f1584]) ).
fof(f3321,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ46_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f231,f1585]) ).
fof(f3322,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f231,f723]) ).
fof(f3323,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f231,f722]) ).
fof(f3329,plain,
( ~ sQ300_spl
| ~ sQ46_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f3306,f191,f230,f2778]) ).
fof(f3330,definition,
! [X0] :
( sQ324_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f3331,plain,
! [X0] :
( ~ sQ324_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f3330]) ).
fof(f3333,plain,
( ~ sQ26_spl
| ~ sQ46_spl
| sQ132_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f3314,f3330,f657,f230,f166]) ).
fof(f3334,plain,
( ~ sQ26_spl
| ~ sQ46_spl
| sQ169_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f3315,f3330,f1144,f230,f166]) ).
fof(f3335,definition,
! [X0] :
( sQ325_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f3336,plain,
! [X0] :
( ~ sQ325_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f3335]) ).
fof(f3338,plain,
( ~ sQ81_spl
| ~ sQ46_spl
| sQ136_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f3316,f3335,f771,f230,f352]) ).
fof(f3339,plain,
( ~ sQ81_spl
| ~ sQ46_spl
| sQ156_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f3317,f3335,f1015,f230,f352]) ).
fof(f3340,definition,
! [X0] :
( sQ326_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f3341,plain,
! [X0] :
( ~ sQ326_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f3340]) ).
fof(f3343,plain,
( ~ sQ11_spl
| ~ sQ46_spl
| sQ228_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f3318,f3340,f1809,f230,f113]) ).
fof(f3344,plain,
( ~ sQ11_spl
| ~ sQ46_spl
| sQ140_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f3319,f3340,f799,f230,f113]) ).
fof(f3345,definition,
! [X0] :
( sQ327_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f3346,plain,
! [X0] :
( ~ sQ327_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f3345]) ).
fof(f3348,plain,
( ~ sQ86_spl
| ~ sQ46_spl
| sQ228_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f3320,f3345,f1809,f230,f368]) ).
fof(f3349,plain,
( ~ sQ86_spl
| ~ sQ46_spl
| sQ156_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f3321,f3345,f1015,f230,f368]) ).
fof(f3350,plain,
( ~ sQ46_spl
| sQ132_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f3322,f831,f657,f230]) ).
fof(f3351,plain,
( ~ sQ46_spl
| sQ126_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f3323,f831,f507,f230]) ).
fof(f3352,plain,
( ~ sQ155_spl
| ~ sQ119_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f1872,f443,f478,f1012]) ).
fof(f3353,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ70_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1062,f95]) ).
fof(f3354,plain,
( ~ sQ5_spl
| ~ sQ70_spl
| sQ154_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f3353,f1039,f1005,f312,f94]) ).
fof(f3355,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f592,f95]) ).
fof(f3356,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sQ138_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f3355,f2906,f786,f126,f94]) ).
fof(f3359,plain,
( ~ sQ225_spl
| ~ sQ58_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2733,f251,f273,f1765]) ).
fof(f3360,plain,
( ~ sQ145_spl
| ~ sQ23_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2440,f135,f151,f824]) ).
fof(f3361,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ25_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1026,f95]) ).
fof(f3362,definition,
! [X0] :
( sQ328_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f3363,plain,
! [X0] :
( ~ sQ328_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f3362]) ).
fof(f3365,plain,
( ~ sQ5_spl
| ~ sQ25_spl
| sQ199_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f3361,f3362,f1450,f163,f94]) ).
fof(f3370,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f589,f95]) ).
fof(f3371,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f3370,f1015,f126,f94]) ).
fof(f3372,plain,
( ~ sQ11_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f114,f626]) ).
fof(f3373,plain,
( ~ sQ11_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f114,f625]) ).
fof(f3374,plain,
( ~ sQ111_spl
| ~ sQ11_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f114,f2034]) ).
fof(f3375,plain,
( ~ sQ36_spl
| ~ sQ11_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f114,f874]) ).
fof(f3376,plain,
( ~ sQ11_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f114,f624]) ).
fof(f3377,plain,
( ~ sQ302_spl
| ~ sQ11_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f114,f2860]) ).
fof(f3378,plain,
( ~ sQ270_spl
| ~ sQ11_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f114,f2270]) ).
fof(f3379,plain,
( ~ sQ206_spl
| ~ sQ11_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f114,f1563]) ).
fof(f3380,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ11_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f114,f582]) ).
fof(f3382,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ11_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f114,f999]) ).
fof(f3383,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ11_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f114,f998]) ).
fof(f3384,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ11_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f114,f2038]) ).
fof(f3385,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ11_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f114,f2037]) ).
fof(f3386,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ11_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f114,f878]) ).
fof(f3387,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ11_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f114,f877]) ).
fof(f3388,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f114,f627]) ).
fof(f3389,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f114,f628]) ).
fof(f3395,plain,
( ~ sQ111_spl
| ~ sQ11_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f3374,f1394,f113,f453]) ).
fof(f3396,plain,
( ~ sQ36_spl
| ~ sQ11_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f3375,f1450,f113,f198]) ).
fof(f3397,plain,
( ~ sQ270_spl
| ~ sQ11_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f3378,f90,f113,f2269]) ).
fof(f3398,definition,
! [X0] :
( sQ329_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f3399,plain,
! [X0] :
( ~ sQ329_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f3398]) ).
fof(f3401,plain,
( ~ sQ16_spl
| ~ sQ11_spl
| sQ138_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f3380,f3398,f786,f113,f129]) ).
fof(f3403,definition,
! [X0] :
( sQ330_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f3404,plain,
! [X0] :
( ~ sQ330_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f3403]) ).
fof(f3406,plain,
( ~ sQ26_spl
| ~ sQ11_spl
| sQ199_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f3382,f3403,f1450,f113,f166]) ).
fof(f3407,plain,
( ~ sQ26_spl
| ~ sQ11_spl
| sQ158_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f3383,f3403,f1043,f113,f166]) ).
fof(f3408,plain,
( ~ sQ111_spl
| ~ sQ11_spl
| sQ188_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f3384,f2618,f1394,f113,f453]) ).
fof(f3409,plain,
( ~ sQ111_spl
| ~ sQ11_spl
| sQ130_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f3385,f2618,f643,f113,f453]) ).
fof(f3410,plain,
( ~ sQ36_spl
| ~ sQ11_spl
| sQ199_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3386,f2869,f1450,f113,f198]) ).
fof(f3411,plain,
( ~ sQ36_spl
| ~ sQ11_spl
| sQ130_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3387,f2869,f643,f113,f198]) ).
fof(f3412,plain,
( ~ sQ11_spl
| sQ130_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f3388,f640,f643,f113]) ).
fof(f3413,plain,
( ~ sQ11_spl
| sQ138_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f3389,f640,f786,f113]) ).
fof(f3414,plain,
( ~ sQ280_spl
| ~ sQ16_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f2698,f119,f129,f2377]) ).
fof(f3415,plain,
( ~ sQ226_spl
| ~ sQ43_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3060,f166,f220,f1783]) ).
fof(f3416,plain,
( ~ sQ290_spl
| ~ sQ43_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f3057,f198,f220,f2556]) ).
fof(f3417,plain,
( ~ sQ255_spl
| ~ sQ19_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2386,f78,f138,f2158]) ).
fof(f3418,plain,
( ~ sQ87_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f372,f1574]) ).
fof(f3419,plain,
( ~ sQ97_spl
| ~ sQ87_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f372,f1375]) ).
fof(f3420,plain,
( ~ sQ77_spl
| ~ sQ87_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f372,f1726]) ).
fof(f3421,plain,
( ~ sQ87_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f372,f1573]) ).
fof(f3422,plain,
( ~ sQ87_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f372,f1572]) ).
fof(f3423,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ87_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f372,f1053]) ).
fof(f3424,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ87_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f372,f1052]) ).
fof(f3425,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ87_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f372,f1378]) ).
fof(f3426,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ87_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f372,f1377]) ).
fof(f3427,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ87_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f372,f1729]) ).
fof(f3428,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ87_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f372,f1728]) ).
fof(f3429,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ87_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f372,f524]) ).
fof(f3430,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ87_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f372,f525]) ).
fof(f3431,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f372,f1576]) ).
fof(f3432,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f372,f1575]) ).
fof(f3438,plain,
( ~ sQ97_spl
| ~ sQ87_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f3419,f820,f371,f403]) ).
fof(f3439,plain,
( ~ sQ77_spl
| ~ sQ87_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f3420,f1043,f371,f339]) ).
fof(f3440,definition,
! [X0] :
( sQ331_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f3441,plain,
! [X0] :
( ~ sQ331_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f3440]) ).
fof(f3443,plain,
( ~ sQ72_spl
| ~ sQ87_spl
| sQ203_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f3423,f3440,f1521,f371,f318]) ).
fof(f3444,plain,
( ~ sQ72_spl
| ~ sQ87_spl
| sQ144_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f3424,f3440,f820,f371,f318]) ).
fof(f3445,definition,
! [X0] :
( sQ332_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f3446,plain,
! [X0] :
( ~ sQ332_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f3445]) ).
fof(f3448,plain,
( ~ sQ97_spl
| ~ sQ87_spl
| sQ128_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f3425,f3445,f553,f371,f403]) ).
fof(f3449,plain,
( ~ sQ97_spl
| ~ sQ87_spl
| sQ144_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f3426,f3445,f820,f371,f403]) ).
fof(f3450,definition,
! [X0] :
( sQ333_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f3451,plain,
! [X0] :
( ~ sQ333_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f3450]) ).
fof(f3453,plain,
( ~ sQ77_spl
| ~ sQ87_spl
| sQ128_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f3427,f3450,f553,f371,f339]) ).
fof(f3454,plain,
( ~ sQ77_spl
| ~ sQ87_spl
| sQ158_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f3428,f3450,f1043,f371,f339]) ).
fof(f3455,plain,
( ~ sQ22_spl
| ~ sQ87_spl
| sQ144_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f3429,f1586,f820,f371,f148]) ).
fof(f3456,plain,
( ~ sQ22_spl
| ~ sQ87_spl
| sQ167_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f3430,f1586,f1137,f371,f148]) ).
fof(f3457,plain,
( ~ sQ87_spl
| sQ128_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f3431,f1683,f553,f371]) ).
fof(f3458,plain,
( ~ sQ87_spl
| sQ130_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f3432,f1683,f643,f371]) ).
fof(f3459,plain,
( ~ sQ239_spl
| ~ sQ90_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f3032,f365,f381,f1960]) ).
fof(f3460,plain,
( ~ sQ226_spl
| ~ sQ68_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f2339,f251,f305,f1783]) ).
fof(f3461,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f3462,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f3463,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f3464,plain,
( ~ sQ328_spl
| ~ sQ34_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f192,f3363]) ).
fof(f3465,plain,
( ~ sQ320_spl
| ~ sQ34_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f192,f3237]) ).
fof(f3466,plain,
( ~ sQ315_spl
| ~ sQ34_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f192,f3206]) ).
fof(f3468,plain,
( ~ sQ218_spl
| ~ sQ34_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f192,f1711]) ).
fof(f3469,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ34_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f192,f1876]) ).
fof(f3470,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ34_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f192,f1877]) ).
fof(f3471,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ34_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f192,f547]) ).
fof(f3472,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ34_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f192,f548]) ).
fof(f3473,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ34_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f192,f1805]) ).
fof(f3482,plain,
( ~ sQ218_spl
| ~ sQ34_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3468,f166,f191,f1710]) ).
fof(f3483,definition,
! [X0] :
( sQ334_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f3484,plain,
! [X0] :
( ~ sQ334_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f3483]) ).
fof(f3486,plain,
( ~ sQ119_spl
| ~ sQ34_spl
| sQ156_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f3469,f3483,f1015,f191,f478]) ).
fof(f3487,plain,
( ~ sQ119_spl
| ~ sQ34_spl
| sQ154_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f3470,f3483,f1005,f191,f478]) ).
fof(f3488,plain,
( ~ sQ19_spl
| ~ sQ34_spl
| sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f3471,f1012,f1015,f191,f138]) ).
fof(f3489,plain,
( ~ sQ19_spl
| ~ sQ34_spl
| sQ140_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f3472,f1012,f799,f191,f138]) ).
fof(f3490,plain,
( ~ sQ124_spl
| ~ sQ34_spl
| sQ154_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f3473,f1942,f1005,f191,f494]) ).
fof(f3494,plain,
( ~ sQ315_spl
| ~ sQ34_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3466,f169,f191,f3205]) ).
fof(f3495,plain,
( ~ sQ287_spl
| ~ sQ43_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f3055,f169,f220,f2543]) ).
fof(f3496,plain,
( ~ sQ63_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f290,f1201]) ).
fof(f3497,plain,
( ~ sQ63_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f290,f1200]) ).
fof(f3498,plain,
( ~ sQ13_spl
| ~ sQ63_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f290,f608]) ).
fof(f3499,plain,
( ~ sQ63_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f290,f1199]) ).
fof(f3500,plain,
( ~ sQ322_spl
| ~ sQ63_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f290,f3281]) ).
fof(f3501,plain,
( ~ sQ323_spl
| ~ sQ63_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f290,f3286]) ).
fof(f3502,plain,
( ~ sQ304_spl
| ~ sQ63_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f290,f2870]) ).
fof(f3503,plain,
( ~ sQ286_spl
| ~ sQ63_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f290,f2502]) ).
fof(f3504,plain,
( ~ sQ271_spl
| ~ sQ63_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f290,f2275]) ).
fof(f3505,plain,
( ~ sQ222_spl
| ~ sQ63_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f290,f1751]) ).
fof(f3506,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ63_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f290,f735]) ).
fof(f3507,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ63_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f290,f734]) ).
fof(f3508,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ63_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f290,f611]) ).
fof(f3509,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ63_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f290,f612]) ).
fof(f3510,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f290,f1202]) ).
fof(f3517,plain,
( ~ sQ13_spl
| ~ sQ63_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f3498,f1043,f289,f119]) ).
fof(f3518,plain,
( ~ sQ271_spl
| ~ sQ63_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3504,f260,f289,f2274]) ).
fof(f3519,definition,
! [X0] :
( sQ335_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f3520,plain,
! [X0] :
( ~ sQ335_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f3519]) ).
fof(f3522,plain,
( ~ sQ43_spl
| ~ sQ63_spl
| sQ163_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f3506,f3519,f1115,f289,f220]) ).
fof(f3523,plain,
( ~ sQ43_spl
| ~ sQ63_spl
| sQ177_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f3507,f3519,f1208,f289,f220]) ).
fof(f3524,plain,
( ~ sQ13_spl
| ~ sQ63_spl
| sQ130_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f3508,f1240,f643,f289,f119]) ).
fof(f3525,plain,
( ~ sQ13_spl
| ~ sQ63_spl
| sQ158_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f3509,f1240,f1043,f289,f119]) ).
fof(f3526,plain,
( ~ sQ63_spl
| sQ130_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f3510,f1192,f643,f289]) ).
fof(f3528,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f149,f523]) ).
fof(f3529,plain,
( ~ sQ22_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f149,f522]) ).
fof(f3530,plain,
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f149,f1049]) ).
fof(f3531,plain,
( ~ sQ22_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f149,f521]) ).
fof(f3532,plain,
( ~ sQ306_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f149,f2980]) ).
fof(f3533,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f149,f1053]) ).
fof(f3534,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ22_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f149,f1052]) ).
fof(f3535,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ22_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f149,f1729]) ).
fof(f3536,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ22_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f149,f1728]) ).
fof(f3544,plain,
( ~ sQ72_spl
| ~ sQ22_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f3530,f1718,f148,f318]) ).
fof(f3545,plain,
( ~ sQ72_spl
| ~ sQ22_spl
| sQ220_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f3533,f1097,f1718,f148,f318]) ).
fof(f3546,plain,
( ~ sQ72_spl
| ~ sQ22_spl
| sQ126_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f3534,f1097,f507,f148,f318]) ).
fof(f3547,plain,
( ~ sQ77_spl
| ~ sQ22_spl
| sQ195_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f3535,f1755,f1429,f148,f339]) ).
fof(f3548,plain,
( ~ sQ77_spl
| ~ sQ22_spl
| sQ169_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f3536,f1755,f1144,f148,f339]) ).
fof(f3551,plain,
( ~ sQ22_spl
| ~ sQ331_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f3441,f149]) ).
fof(f3553,plain,
( ~ sQ22_spl
| ~ sQ162_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f1111,f149]) ).
fof(f3554,plain,
( ~ sQ22_spl
| ~ sQ162_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f3553,f135,f1110,f148]) ).
fof(f3555,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ92_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1517,f149]) ).
fof(f3556,plain,
( ~ sQ22_spl
| ~ sQ92_spl
| sQ195_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f3555,f2681,f1429,f387,f148]) ).
fof(f3557,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ92_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1516,f149]) ).
fof(f3558,plain,
( ~ sQ22_spl
| ~ sQ92_spl
| sQ149_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f3557,f2681,f846,f387,f148]) ).
fof(f3559,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ84_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1599,f192]) ).
fof(f3560,definition,
! [X0] :
( sQ336_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f3561,plain,
! [X0] :
( ~ sQ336_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f3560]) ).
fof(f3563,plain,
( ~ sQ34_spl
| ~ sQ84_spl
| sQ132_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f3559,f3560,f657,f361,f191]) ).
fof(f3566,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ112_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2022,f149]) ).
fof(f3567,plain,
( ~ sQ22_spl
| ~ sQ112_spl
| sQ188_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f3566,f1994,f1394,f456,f148]) ).
fof(f3568,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ112_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2021,f149]) ).
fof(f3569,plain,
( ~ sQ22_spl
| ~ sQ112_spl
| sQ228_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f3568,f1994,f1809,f456,f148]) ).
fof(f3570,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ82_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1611,f149]) ).
fof(f3571,plain,
( ~ sQ22_spl
| ~ sQ82_spl
| sQ136_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f3570,f1657,f771,f355,f148]) ).
fof(f3572,plain,
( ~ sQ77_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f340,f1727]) ).
fof(f3573,plain,
( ~ sQ92_spl
| ~ sQ77_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f340,f1514]) ).
fof(f3574,plain,
( ~ sQ77_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f340,f1726]) ).
fof(f3575,plain,
( ~ sQ77_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f340,f1725]) ).
fof(f3576,plain,
( ~ sQ273_spl
| ~ sQ77_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f340,f2296]) ).
fof(f3577,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ77_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f340,f2021]) ).
fof(f3578,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ77_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f340,f2022]) ).
fof(f3579,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ77_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f340,f1516]) ).
fof(f3580,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ77_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f340,f1517]) ).
fof(f3581,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f340,f1729]) ).
fof(f3583,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ77_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f340,f524]) ).
fof(f3584,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ77_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f340,f525]) ).
fof(f3590,plain,
( ~ sQ92_spl
| ~ sQ77_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f3573,f1429,f339,f387]) ).
fof(f3591,definition,
! [X0] :
( sQ337_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f3592,plain,
! [X0] :
( ~ sQ337_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f3591]) ).
fof(f3594,plain,
( ~ sQ112_spl
| ~ sQ77_spl
| sQ220_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f3577,f3591,f1718,f339,f456]) ).
fof(f3595,plain,
( ~ sQ112_spl
| ~ sQ77_spl
| sQ146_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f3578,f3591,f827,f339,f456]) ).
fof(f3596,definition,
! [X0] :
( sQ338_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f3597,plain,
! [X0] :
( ~ sQ338_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f3596]) ).
fof(f3599,plain,
( ~ sQ92_spl
| ~ sQ77_spl
| sQ195_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f3579,f3596,f1429,f339,f387]) ).
fof(f3600,plain,
( ~ sQ92_spl
| ~ sQ77_spl
| sQ128_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f3580,f3596,f553,f339,f387]) ).
fof(f3601,plain,
( ~ sQ77_spl
| sQ128_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f3581,f1936,f553,f339]) ).
fof(f3603,plain,
( ~ sQ22_spl
| ~ sQ77_spl
| sQ188_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f3583,f1755,f1394,f339,f148]) ).
fof(f3604,plain,
( ~ sQ22_spl
| ~ sQ77_spl
| sQ167_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f3584,f1755,f1137,f339,f148]) ).
fof(f3609,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ27_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f987,f340]) ).
fof(f3610,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ27_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f987,f149]) ).
fof(f3611,definition,
! [X0] :
( sQ339_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f3612,plain,
! [X0] :
( ~ sQ339_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f3611]) ).
fof(f3614,plain,
( ~ sQ77_spl
| ~ sQ27_spl
| sQ138_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f3609,f3611,f786,f169,f339]) ).
fof(f3615,plain,
( ~ sQ22_spl
| ~ sQ27_spl
| sQ169_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f3610,f2004,f1144,f169,f148]) ).
fof(f3616,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ27_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f988,f340]) ).
fof(f3617,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ27_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f988,f149]) ).
fof(f3618,plain,
( ~ sQ77_spl
| ~ sQ27_spl
| sQ134_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f3616,f3611,f764,f169,f339]) ).
fof(f3619,plain,
( ~ sQ22_spl
| ~ sQ27_spl
| sQ199_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f3617,f2004,f1450,f169,f148]) ).
fof(f3620,plain,
( ~ sQ25_spl
| ~ sQ320_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f164,f3465]) ).
fof(f3621,plain,
( ~ sQ25_spl
| ~ sQ320_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f3620]) ).
fof(f3622,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ52_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1342,f340]) ).
fof(f3623,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ52_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1342,f149]) ).
fof(f3624,definition,
! [X0] :
( sQ340_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f3625,plain,
! [X0] :
( ~ sQ340_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f3624]) ).
fof(f3627,plain,
( ~ sQ77_spl
| ~ sQ52_spl
| sQ138_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f3622,f3624,f786,f254,f339]) ).
fof(f3628,plain,
( ~ sQ22_spl
| ~ sQ52_spl
| sQ169_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f3623,f1391,f1144,f254,f148]) ).
fof(f3630,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ52_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1343,f149]) ).
fof(f3632,plain,
( ~ sQ22_spl
| ~ sQ52_spl
| sQ220_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f3630,f1391,f1718,f254,f148]) ).
fof(f3633,plain,
( ~ sQ100_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f419,f2154]) ).
fof(f3634,plain,
( ~ sQ110_spl
| ~ sQ100_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f419,f2059]) ).
fof(f3635,plain,
( ~ sQ100_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f419,f2153]) ).
fof(f3636,plain,
( ~ sQ0_spl
| ~ sQ100_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f419,f2312]) ).
fof(f3637,plain,
( ~ sQ100_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f419,f2152]) ).
fof(f3638,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ100_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f419,f2315]) ).
fof(f3639,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ100_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f419,f2316]) ).
fof(f3640,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ100_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f419,f2062]) ).
fof(f3641,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ100_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f419,f2061]) ).
fof(f3642,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ100_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f419,f1537]) ).
fof(f3643,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ100_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f419,f1538]) ).
fof(f3644,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ100_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f419,f1260]) ).
fof(f3645,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ100_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f419,f1261]) ).
fof(f3646,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f419,f2156]) ).
fof(f3647,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f419,f2155]) ).
fof(f3653,plain,
( ~ sQ110_spl
| ~ sQ100_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f3634,f1718,f418,f450]) ).
fof(f3654,plain,
( ~ sQ0_spl
| ~ sQ100_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f3636,f1144,f418,f78]) ).
fof(f3655,definition,
! [X0] :
( sQ341_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f3656,plain,
! [X0] :
( ~ sQ341_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f3655]) ).
fof(f3658,plain,
( ~ sQ0_spl
| ~ sQ100_spl
| sQ138_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f3638,f3655,f786,f418,f78]) ).
fof(f3659,plain,
( ~ sQ0_spl
| ~ sQ100_spl
| sQ169_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f3639,f3655,f1144,f418,f78]) ).
fof(f3660,definition,
! [X0] :
( sQ342_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f3661,plain,
! [X0] :
( ~ sQ342_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f3660]) ).
fof(f3663,plain,
( ~ sQ110_spl
| ~ sQ100_spl
| sQ126_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f3640,f3660,f507,f418,f450]) ).
fof(f3664,plain,
( ~ sQ110_spl
| ~ sQ100_spl
| sQ220_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f3641,f3660,f1718,f418,f450]) ).
fof(f3665,definition,
! [X0] :
( sQ343_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f3666,plain,
! [X0] :
( ~ sQ343_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f3665]) ).
fof(f3668,plain,
( ~ sQ90_spl
| ~ sQ100_spl
| sQ195_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f3642,f3665,f1429,f418,f381]) ).
fof(f3669,plain,
( ~ sQ90_spl
| ~ sQ100_spl
| sQ149_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f3643,f3665,f846,f418,f381]) ).
fof(f3670,definition,
! [X0] :
( sQ344_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f3671,plain,
! [X0] :
( ~ sQ344_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f3670]) ).
fof(f3673,plain,
( ~ sQ60_spl
| ~ sQ100_spl
| sQ220_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f3644,f3670,f1718,f418,f280]) ).
fof(f3674,plain,
( ~ sQ60_spl
| ~ sQ100_spl
| sQ228_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f3645,f3670,f1809,f418,f280]) ).
fof(f3675,definition,
! [X0] :
( sQ345_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f3676,plain,
! [X0] :
( ~ sQ345_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f3675]) ).
fof(f3678,plain,
( ~ sQ100_spl
| sQ126_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f3646,f3675,f507,f418]) ).
fof(f3679,plain,
( ~ sQ100_spl
| sQ138_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f3647,f3675,f786,f418]) ).
fof(f3680,plain,
! [X0] :
( ~ sQ345_spl
| ~ product(X0,e_5,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f3676]) ).
fof(f3681,plain,
( ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f120,f610]) ).
fof(f3682,plain,
( ~ sQ13_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f120,f609]) ).
fof(f3683,plain,
( ~ sQ13_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f120,f608]) ).
fof(f3684,plain,
( ~ sQ322_spl
| ~ sQ13_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f120,f3281]) ).
fof(f3685,plain,
( ~ sQ323_spl
| ~ sQ13_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f120,f3286]) ).
fof(f3686,plain,
( ~ sQ304_spl
| ~ sQ13_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f120,f2870]) ).
fof(f3688,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f120,f712]) ).
fof(f3689,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ13_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f120,f713]) ).
fof(f3690,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ13_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f120,f2346]) ).
fof(f3691,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ13_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f120,f2345]) ).
fof(f3692,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ13_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f120,f735]) ).
fof(f3693,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ13_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f120,f734]) ).
fof(f3694,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f120,f611]) ).
fof(f3695,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f120,f612]) ).
fof(f3701,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| sQ144_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f3688,f3340,f820,f119,f236]) ).
fof(f3702,plain,
( ~ sQ48_spl
| ~ sQ13_spl
| sQ199_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f3689,f3340,f1450,f119,f236]) ).
fof(f3703,plain,
( ~ sQ68_spl
| ~ sQ13_spl
| sQ220_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3690,f2854,f1718,f119,f305]) ).
fof(f3704,plain,
( ~ sQ68_spl
| ~ sQ13_spl
| sQ177_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f3691,f2854,f1208,f119,f305]) ).
fof(f3705,plain,
( ~ sQ43_spl
| ~ sQ13_spl
| sQ199_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f3692,f3097,f1450,f119,f220]) ).
fof(f3706,plain,
( ~ sQ43_spl
| ~ sQ13_spl
| sQ177_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f3693,f3097,f1208,f119,f220]) ).
fof(f3707,plain,
( ~ sQ13_spl
| sQ130_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f3694,f640,f643,f119]) ).
fof(f3708,plain,
( ~ sQ13_spl
| sQ138_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f3695,f640,f786,f119]) ).
fof(f3709,plain,
( ~ sQ291_spl
| ~ sQ20_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f2636,f135,f142,f2565]) ).
fof(f3710,plain,
( ~ sQ227_spl
| ~ sQ20_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f2643,f116,f142,f1806]) ).
fof(f3711,plain,
( ~ sQ229_spl
| ~ sQ20_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2644,f84,f142,f1814]) ).
fof(f3712,plain,
( ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f221,f733]) ).
fof(f3713,plain,
( ~ sQ43_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f221,f732]) ).
fof(f3714,plain,
( ~ sQ68_spl
| ~ sQ43_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f221,f2342]) ).
fof(f3715,plain,
( ~ sQ335_spl
| ~ sQ43_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f221,f3520]) ).
fof(f3716,plain,
( ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f221,f731]) ).
fof(f3720,plain,
( ~ sQ313_spl
| ~ sQ43_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f221,f3103]) ).
fof(f3722,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ43_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f221,f2346]) ).
fof(f3723,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ43_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f221,f2345]) ).
fof(f3731,plain,
( ~ sQ68_spl
| ~ sQ43_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f3714,f2546,f220,f305]) ).
fof(f3732,plain,
( ~ sQ68_spl
| ~ sQ43_spl
| sQ288_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f3722,f1106,f2546,f220,f305]) ).
fof(f3733,plain,
( ~ sQ68_spl
| ~ sQ43_spl
| sQ128_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f3723,f1106,f553,f220,f305]) ).
fof(f3736,plain,
( ~ sQ36_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f199,f876]) ).
fof(f3737,plain,
( ~ sQ36_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f199,f875]) ).
fof(f3738,plain,
( ~ sQ86_spl
| ~ sQ36_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f199,f1581]) ).
fof(f3739,plain,
( ~ sQ333_spl
| ~ sQ36_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f199,f3451]) ).
fof(f3740,plain,
( ~ sQ36_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f199,f874]) ).
fof(f3741,plain,
( ~ sQ302_spl
| ~ sQ36_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f199,f2860]) ).
fof(f3742,plain,
( ~ sQ206_spl
| ~ sQ36_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f199,f1563]) ).
fof(f3743,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ36_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f199,f1584]) ).
fof(f3744,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ36_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f199,f1585]) ).
fof(f3745,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ36_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f199,f2107]) ).
fof(f3746,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ36_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f199,f2106]) ).
fof(f3747,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ36_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f199,f1317]) ).
fof(f3748,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ36_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f199,f1318]) ).
fof(f3749,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ36_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f199,f689]) ).
fof(f3750,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ36_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f199,f688]) ).
fof(f3758,plain,
( ~ sQ86_spl
| ~ sQ36_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f3738,f1015,f198,f368]) ).
fof(f3759,plain,
( ~ sQ333_spl
| ~ sQ36_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f3739,f166,f198,f3450]) ).
fof(f3760,definition,
! [X0] :
( sQ346_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f3761,plain,
! [X0] :
( ~ sQ346_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f3760]) ).
fof(f3763,plain,
( ~ sQ86_spl
| ~ sQ36_spl
| sQ130_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f3743,f3760,f643,f198,f368]) ).
fof(f3764,plain,
( ~ sQ86_spl
| ~ sQ36_spl
| sQ156_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f3744,f3760,f1015,f198,f368]) ).
fof(f3765,plain,
( ~ sQ106_spl
| ~ sQ36_spl
| sQ154_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f3745,f3285,f1005,f198,f437]) ).
fof(f3766,plain,
( ~ sQ106_spl
| ~ sQ36_spl
| sQ163_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f3746,f3285,f1115,f198,f437]) ).
fof(f3767,plain,
( ~ sQ56_spl
| ~ sQ36_spl
| sQ163_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f3747,f3280,f1115,f198,f267]) ).
fof(f3768,plain,
( ~ sQ56_spl
| ~ sQ36_spl
| sQ288_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f3748,f3280,f2546,f198,f267]) ).
fof(f3769,definition,
! [X0] :
( sQ347_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f3770,plain,
! [X0] :
( ~ sQ347_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f3769]) ).
fof(f3772,plain,
( ~ sQ6_spl
| ~ sQ36_spl
| sQ140_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f3749,f3769,f799,f198,f97]) ).
fof(f3773,plain,
( ~ sQ6_spl
| ~ sQ36_spl
| sQ163_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f3750,f3769,f1115,f198,f97]) ).
fof(f3776,plain,
( ~ sQ306_spl
| ~ sQ22_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3532,f103,f148,f2979]) ).
fof(f3777,plain,
( ~ sQ22_spl
| ~ sQ331_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f3551,f113,f3440,f148]) ).
fof(f3778,plain,
( ~ sQ323_spl
| ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f3501,f264,f289,f3285]) ).
fof(f3779,plain,
( ~ sQ212_spl
| ~ sQ21_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f3137,f135,f145,f1666]) ).
fof(f3780,plain,
( ~ sQ256_spl
| ~ sQ21_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f3142,f78,f145,f2176]) ).
fof(f3781,plain,
( ~ sQ307_spl
| ~ sQ21_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f3135,f103,f145,f2984]) ).
fof(f3782,plain,
( ~ sQ0_spl
| ~ sQ345_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f79,f3680]) ).
fof(f3783,plain,
( ~ sQ0_spl
| ~ sQ345_spl ),
inference(contradiction_clause,[status(thm)],[f3782]) ).
fof(f3784,plain,
( ~ sQ222_spl
| ~ sQ63_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f3505,f251,f289,f1750]) ).
fof(f3785,plain,
( ~ sQ155_spl
| ~ sQ19_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f2394,f103,f138,f1012]) ).
fof(f3786,plain,
( ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f334,f1780]) ).
fof(f3787,plain,
( ~ sQ80_spl
| ~ sQ75_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f334,f1622]) ).
fof(f3788,plain,
( ~ sQ75_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f334,f1779]) ).
fof(f3789,plain,
( ~ sQ75_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f334,f1778]) ).
fof(f3790,plain,
( ~ sQ341_spl
| ~ sQ75_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f334,f3656]) ).
fof(f3791,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ75_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f334,f591]) ).
fof(f3792,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ75_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f334,f592]) ).
fof(f3793,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ75_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f334,f1625]) ).
fof(f3794,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ75_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f334,f1624]) ).
fof(f3795,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ75_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f334,f1918]) ).
fof(f3796,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ75_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f334,f1917]) ).
fof(f3797,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ75_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f334,f1062]) ).
fof(f3798,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ75_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f334,f1063]) ).
fof(f3799,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f334,f1782]) ).
fof(f3800,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f334,f1781]) ).
fof(f3806,plain,
( ~ sQ80_spl
| ~ sQ75_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f3787,f1450,f333,f349]) ).
fof(f3807,plain,
( ~ sQ15_spl
| ~ sQ75_spl
| sQ195_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f3791,f1637,f1429,f333,f126]) ).
fof(f3808,plain,
( ~ sQ15_spl
| ~ sQ75_spl
| sQ167_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f3792,f1637,f1137,f333,f126]) ).
fof(f3809,definition,
! [X0] :
( sQ348_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f3810,plain,
! [X0] :
( ~ sQ348_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f3809]) ).
fof(f3812,plain,
( ~ sQ80_spl
| ~ sQ75_spl
| sQ128_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f3793,f3809,f553,f333,f349]) ).
fof(f3813,plain,
( ~ sQ80_spl
| ~ sQ75_spl
| sQ199_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f3794,f3809,f1450,f333,f349]) ).
fof(f3814,plain,
( ~ sQ115_spl
| ~ sQ75_spl
| sQ146_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f3795,f1928,f827,f333,f466]) ).
fof(f3815,plain,
( ~ sQ115_spl
| ~ sQ75_spl
| sQ195_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f3796,f1928,f1429,f333,f466]) ).
fof(f3816,definition,
! [X0] :
( sQ349_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f3817,plain,
! [X0] :
( ~ sQ349_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f3816]) ).
fof(f3819,plain,
( ~ sQ70_spl
| ~ sQ75_spl
| sQ188_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f3797,f3816,f1394,f333,f312]) ).
fof(f3820,plain,
( ~ sQ70_spl
| ~ sQ75_spl
| sQ203_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f3798,f3816,f1521,f333,f312]) ).
fof(f3821,plain,
( ~ sQ75_spl
| sQ128_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f3799,f1936,f553,f333]) ).
fof(f3822,plain,
( ~ sQ75_spl
| sQ138_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f3800,f1936,f786,f333]) ).
fof(f3823,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f667]) ).
fof(f3824,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f104,f609]) ).
fof(f3825,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f666]) ).
fof(f3826,plain,
( ~ sQ108_spl
| ~ sQ8_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f104,f2089]) ).
fof(f3827,plain,
( ~ sQ8_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f104,f665]) ).
fof(f3830,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ8_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f104,f2093]) ).
fof(f3831,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ8_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f104,f2092]) ).
fof(f3832,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ8_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f104,f1561]) ).
fof(f3833,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ8_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f104,f1560]) ).
fof(f3834,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ8_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f104,f611]) ).
fof(f3835,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ8_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f104,f612]) ).
fof(f3836,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ8_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f104,f757]) ).
fof(f3837,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ8_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f104,f756]) ).
fof(f3845,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f3824,f2546,f103,f119]) ).
fof(f3846,plain,
( ~ sQ108_spl
| ~ sQ8_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f3826,f1394,f103,f443]) ).
fof(f3847,plain,
( ~ sQ108_spl
| ~ sQ8_spl
| sQ188_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f3830,f2119,f1394,f103,f443]) ).
fof(f3848,plain,
( ~ sQ108_spl
| ~ sQ8_spl
| sQ132_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f3831,f2119,f657,f103,f443]) ).
fof(f3849,definition,
! [X0] :
( sQ350_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f3850,plain,
! [X0] :
( ~ sQ350_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f3849]) ).
fof(f3852,plain,
( ~ sQ88_spl
| ~ sQ8_spl
| sQ195_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f3832,f3849,f1429,f103,f374]) ).
fof(f3853,plain,
( ~ sQ88_spl
| ~ sQ8_spl
| sQ288_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f3833,f3849,f2546,f103,f374]) ).
fof(f3854,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| sQ288_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f3834,f2596,f2546,f103,f119]) ).
fof(f3855,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| sQ138_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f3835,f2596,f786,f103,f119]) ).
fof(f3856,plain,
( ~ sQ38_spl
| ~ sQ8_spl
| sQ199_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f3836,f3769,f1450,f103,f204]) ).
fof(f3857,plain,
( ~ sQ38_spl
| ~ sQ8_spl
| sQ288_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f3837,f3769,f2546,f103,f204]) ).
fof(f3862,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ18_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f564,f104]) ).
fof(f3863,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sQ138_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f3862,f2906,f786,f135,f103]) ).
fof(f3864,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f561,f104]) ).
fof(f3865,plain,
( ~ sQ8_spl
| ~ sQ18_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f3864,f1015,f135,f103]) ).
fof(f3866,plain,
( ~ sQ266_spl
| ~ sQ7_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2582,f90,f100,f2249]) ).
fof(f3867,plain,
( ~ sQ275_spl
| ~ sQ40_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f2516,f175,f211,f2318]) ).
fof(f3868,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f431,f2131]) ).
fof(f3869,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f431,f2130]) ).
fof(f3870,plain,
( ~ sQ54_spl
| ~ sQ104_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f431,f1329]) ).
fof(f3871,plain,
( ~ sQ29_spl
| ~ sQ104_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f431,f965]) ).
fof(f3872,plain,
( ~ sQ104_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f431,f2129]) ).
fof(f3873,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ104_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f431,f1600]) ).
fof(f3874,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ104_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f431,f1599]) ).
fof(f3875,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ104_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f431,f1333]) ).
fof(f3876,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ104_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f431,f1332]) ).
fof(f3877,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ104_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f431,f1488]) ).
fof(f3878,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ104_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f431,f1487]) ).
fof(f3879,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ104_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f431,f1185]) ).
fof(f3880,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ104_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f431,f1184]) ).
fof(f3881,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ104_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f431,f968]) ).
fof(f3882,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ104_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f431,f969]) ).
fof(f3883,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f431,f2132]) ).
fof(f3884,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f431,f2133]) ).
fof(f3890,plain,
( ~ sQ54_spl
| ~ sQ104_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f3870,f1809,f430,f260]) ).
fof(f3891,plain,
( ~ sQ29_spl
| ~ sQ104_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f3871,f771,f430,f175]) ).
fof(f3892,definition,
! [X0] :
( sQ351_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f3893,plain,
! [X0] :
( ~ sQ351_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f3892]) ).
fof(f3895,plain,
( ~ sQ84_spl
| ~ sQ104_spl
| sQ149_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f3873,f3892,f846,f430,f361]) ).
fof(f3896,plain,
( ~ sQ84_spl
| ~ sQ104_spl
| sQ199_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f3874,f3892,f1450,f430,f361]) ).
fof(f3897,definition,
! [X0] :
( sQ352_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f3898,plain,
! [X0] :
( ~ sQ352_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f3897]) ).
fof(f3900,plain,
( ~ sQ54_spl
| ~ sQ104_spl
| sQ228_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f3875,f3897,f1809,f430,f260]) ).
fof(f3901,plain,
( ~ sQ54_spl
| ~ sQ104_spl
| sQ138_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f3876,f3897,f786,f430,f260]) ).
fof(f3902,plain,
( ~ sQ94_spl
| ~ sQ104_spl
| sQ149_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f3877,f3665,f846,f430,f393]) ).
fof(f3903,plain,
( ~ sQ94_spl
| ~ sQ104_spl
| sQ195_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f3878,f3665,f1429,f430,f393]) ).
fof(f3904,plain,
( ~ sQ64_spl
| ~ sQ104_spl
| sQ228_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f3879,f3670,f1809,f430,f292]) ).
fof(f3905,plain,
( ~ sQ64_spl
| ~ sQ104_spl
| sQ220_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f3880,f3670,f1718,f430,f292]) ).
fof(f3906,definition,
! [X0] :
( sQ353_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f3907,plain,
! [X0] :
( ~ sQ353_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f3906]) ).
fof(f3909,plain,
( ~ sQ29_spl
| ~ sQ104_spl
| sQ138_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f3881,f3906,f786,f430,f175]) ).
fof(f3910,plain,
( ~ sQ29_spl
| ~ sQ104_spl
| sQ136_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f3882,f3906,f771,f430,f175]) ).
fof(f3911,plain,
( ~ sQ104_spl
| sQ138_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f3883,f3675,f786,f430]) ).
fof(f3912,plain,
( ~ sQ104_spl
| sQ126_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f3884,f3675,f507,f430]) ).
fof(f3913,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f176,f967]) ).
fof(f3914,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f176,f966]) ).
fof(f3915,plain,
( ~ sQ54_spl
| ~ sQ29_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f176,f1329]) ).
fof(f3916,plain,
( ~ sQ29_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f176,f965]) ).
fof(f3917,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ29_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f176,f1600]) ).
fof(f3918,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ29_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f176,f1599]) ).
fof(f3919,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ29_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f176,f1333]) ).
fof(f3920,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ29_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f176,f1332]) ).
fof(f3921,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ29_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f176,f1185]) ).
fof(f3922,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ29_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f176,f1184]) ).
fof(f3924,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f176,f969]) ).
fof(f3930,plain,
( ~ sQ54_spl
| ~ sQ29_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f3915,f2546,f175,f260]) ).
fof(f3931,definition,
! [X0] :
( sQ354_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f3932,plain,
! [X0] :
( ~ sQ354_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f3931]) ).
fof(f3934,plain,
( ~ sQ84_spl
| ~ sQ29_spl
| sQ156_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f3917,f3931,f1015,f175,f361]) ).
fof(f3935,plain,
( ~ sQ84_spl
| ~ sQ29_spl
| sQ199_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f3918,f3931,f1450,f175,f361]) ).
fof(f3936,definition,
! [X0] :
( sQ355_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f3937,plain,
! [X0] :
( ~ sQ355_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f3936]) ).
fof(f3939,plain,
( ~ sQ54_spl
| ~ sQ29_spl
| sQ288_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f3919,f3936,f2546,f175,f260]) ).
fof(f3940,plain,
( ~ sQ54_spl
| ~ sQ29_spl
| sQ138_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f3920,f3936,f786,f175,f260]) ).
fof(f3941,plain,
( ~ sQ64_spl
| ~ sQ29_spl
| sQ288_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f3921,f1235,f2546,f175,f292]) ).
fof(f3942,plain,
( ~ sQ64_spl
| ~ sQ29_spl
| sQ220_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f3922,f1235,f1718,f175,f292]) ).
fof(f3944,plain,
( ~ sQ29_spl
| sQ132_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f3924,f973,f657,f175]) ).
fof(f3945,plain,
( ~ sQ101_spl
| ~ sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f422,f1940]) ).
fof(f3946,plain,
( ~ sQ101_spl
| ~ sQ235_spl ),
inference(contradiction_clause,[status(thm)],[f3945]) ).
fof(f3947,plain,
( ~ sQ64_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f293,f1183]) ).
fof(f3948,plain,
( ~ sQ64_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f293,f1182]) ).
fof(f3949,plain,
( ~ sQ64_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f293,f1181]) ).
fof(f3950,plain,
( ~ sQ330_spl
| ~ sQ64_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f293,f3404]) ).
fof(f3951,plain,
( ~ sQ308_spl
| ~ sQ64_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f293,f2990]) ).
fof(f3952,plain,
( ~ sQ294_spl
| ~ sQ64_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f293,f2628]) ).
fof(f3953,plain,
( ~ sQ292_spl
| ~ sQ64_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f293,f2597]) ).
fof(f3954,plain,
( ~ sQ277_spl
| ~ sQ64_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f293,f2329]) ).
fof(f3955,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ64_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f293,f1488]) ).
fof(f3964,plain,
( ~ sQ294_spl
| ~ sQ64_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f3952,f254,f292,f2627]) ).
fof(f3965,definition,
! [X0] :
( sQ356_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f3966,plain,
! [X0] :
( ~ sQ356_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f3965]) ).
fof(f3968,plain,
( ~ sQ94_spl
| ~ sQ64_spl
| sQ177_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f3955,f3965,f1208,f292,f393]) ).
fof(f3972,plain,
( ~ sQ105_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f435,f2115]) ).
fof(f3973,plain,
( ~ sQ110_spl
| ~ sQ105_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f435,f2059]) ).
fof(f3974,plain,
( ~ sQ105_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f435,f2114]) ).
fof(f3975,plain,
( ~ sQ55_spl
| ~ sQ105_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f435,f1324]) ).
fof(f3976,plain,
( ~ sQ105_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f435,f2113]) ).
fof(f3977,plain,
( ~ sQ253_spl
| ~ sQ105_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f435,f2120]) ).
fof(f3978,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ105_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f435,f1594]) ).
fof(f3979,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ105_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f435,f1595]) ).
fof(f3980,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ105_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f435,f1328]) ).
fof(f3981,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ105_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f435,f1327]) ).
fof(f3982,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ105_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f435,f1026]) ).
fof(f3983,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ105_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f435,f1025]) ).
fof(f3984,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ105_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f435,f2062]) ).
fof(f3985,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ105_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f435,f2061]) ).
fof(f3986,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ105_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f435,f2315]) ).
fof(f3987,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ105_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f435,f2316]) ).
fof(f3988,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ105_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f435,f727]) ).
fof(f3989,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ105_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f435,f728]) ).
fof(f3990,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f435,f2117]) ).
fof(f3991,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f435,f2116]) ).
fof(f3997,plain,
( ~ sQ110_spl
| ~ sQ105_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f3973,f2546,f434,f450]) ).
fof(f3998,plain,
( ~ sQ55_spl
| ~ sQ105_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f3975,f1809,f434,f264]) ).
fof(f3999,definition,
! [X0] :
( sQ357_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f4000,plain,
! [X0] :
( ~ sQ357_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f3999]) ).
fof(f4002,plain,
( ~ sQ85_spl
| ~ sQ105_spl
| sQ288_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f3978,f3999,f2546,f434,f365]) ).
fof(f4003,plain,
( ~ sQ85_spl
| ~ sQ105_spl
| sQ149_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f3979,f3999,f846,f434,f365]) ).
fof(f4004,definition,
! [X0] :
( sQ358_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f4005,plain,
! [X0] :
( ~ sQ358_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f4004]) ).
fof(f4007,plain,
( ~ sQ55_spl
| ~ sQ105_spl
| sQ228_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f3980,f4004,f1809,f434,f264]) ).
fof(f4008,plain,
( ~ sQ55_spl
| ~ sQ105_spl
| sQ132_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f3981,f4004,f657,f434,f264]) ).
fof(f4009,definition,
! [X0] :
( sQ359_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f4010,plain,
! [X0] :
( ~ sQ359_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f4009]) ).
fof(f4012,plain,
( ~ sQ25_spl
| ~ sQ105_spl
| sQ136_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f3982,f4009,f771,f434,f163]) ).
fof(f4013,plain,
( ~ sQ25_spl
| ~ sQ105_spl
| sQ140_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f3983,f4009,f799,f434,f163]) ).
fof(f4014,definition,
! [X0] :
( sQ360_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f4015,plain,
! [X0] :
( ~ sQ360_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f4014]) ).
fof(f4017,plain,
( ~ sQ110_spl
| ~ sQ105_spl
| sQ126_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f3984,f4014,f507,f434,f450]) ).
fof(f4018,plain,
( ~ sQ110_spl
| ~ sQ105_spl
| sQ288_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f3985,f4014,f2546,f434,f450]) ).
fof(f4019,plain,
( ~ sQ0_spl
| ~ sQ105_spl
| sQ140_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f3986,f2244,f799,f434,f78]) ).
fof(f4020,plain,
( ~ sQ0_spl
| ~ sQ105_spl
| sQ169_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f3987,f2244,f1144,f434,f78]) ).
fof(f4021,definition,
! [X0] :
( sQ361_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f4022,plain,
! [X0] :
( ~ sQ361_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f4021]) ).
fof(f4024,plain,
( ~ sQ45_spl
| ~ sQ105_spl
| sQ154_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f3988,f4021,f1005,f434,f227]) ).
fof(f4025,plain,
( ~ sQ45_spl
| ~ sQ105_spl
| sQ136_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f3989,f4021,f771,f434,f227]) ).
fof(f4026,definition,
! [X0] :
( sQ362_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f4027,plain,
! [X0] :
( ~ sQ362_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f4026]) ).
fof(f4029,plain,
( ~ sQ105_spl
| sQ126_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f3990,f4026,f507,f434]) ).
fof(f4030,plain,
( ~ sQ105_spl
| sQ132_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f3991,f4026,f657,f434]) ).
fof(f4031,plain,
! [X0] :
( ~ sQ362_spl
| ~ product(X0,e_4,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f4027]) ).
fof(f4032,plain,
( ~ sQ259_spl
| ~ sQ21_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3134,f100,f145,f2189]) ).
fof(f4033,plain,
( ~ sQ261_spl
| ~ sQ58_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f2732,f248,f273,f2202]) ).
fof(f4034,plain,
( ~ sQ234_spl
| ~ sQ20_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2640,f81,f142,f1932]) ).
fof(f4035,plain,
( ~ sQ230_spl
| ~ sQ20_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2645,f100,f142,f1819]) ).
fof(f4036,plain,
( ~ sQ1_spl
| ~ sQ224_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f2583]) ).
fof(f4037,plain,
( ~ sQ1_spl
| ~ sQ224_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f4036]) ).
fof(f4038,plain,
( ~ sQ7_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f101,f677]) ).
fof(f4039,plain,
( ~ sQ7_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f101,f676]) ).
fof(f4040,plain,
( ~ sQ7_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f101,f675]) ).
fof(f4041,plain,
( ~ sQ185_spl
| ~ sQ7_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f101,f1308]) ).
fof(f4042,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ7_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f101,f1728]) ).
fof(f4043,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ7_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f101,f1729]) ).
fof(f4044,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ7_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f101,f1074]) ).
fof(f4045,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ7_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f101,f1075]) ).
fof(f4053,plain,
( ~ sQ77_spl
| ~ sQ7_spl
| sQ140_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f4042,f1710,f799,f100,f339]) ).
fof(f4054,plain,
( ~ sQ77_spl
| ~ sQ7_spl
| sQ195_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f4043,f1710,f1429,f100,f339]) ).
fof(f4055,plain,
( ~ sQ67_spl
| ~ sQ7_spl
| sQ156_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f4044,f3224,f1015,f100,f302]) ).
fof(f4056,plain,
( ~ sQ67_spl
| ~ sQ7_spl
| sQ220_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f4045,f3224,f1718,f100,f302]) ).
fof(f4059,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f136,f562]) ).
fof(f4060,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f136,f561]) ).
fof(f4061,plain,
( ~ sQ226_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f136,f1784]) ).
fof(f4062,plain,
( ~ sQ18_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f560]) ).
fof(f4063,plain,
( ~ sQ289_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f136,f2552]) ).
fof(f4064,plain,
( ~ sQ312_spl
| ~ sQ18_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f136,f3098]) ).
fof(f4065,plain,
( ~ sQ311_spl
| ~ sQ18_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f136,f3093]) ).
fof(f4066,plain,
( ~ sQ310_spl
| ~ sQ18_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f136,f3086]) ).
fof(f4067,plain,
( ~ sQ335_spl
| ~ sQ18_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f136,f3520]) ).
fof(f4068,plain,
( ~ sQ287_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f136,f2544]) ).
fof(f4069,plain,
( ~ sQ248_spl
| ~ sQ18_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f136,f2046]) ).
fof(f4070,plain,
( ~ sQ133_spl
| ~ sQ18_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f136,f762]) ).
fof(f4071,plain,
( ~ sQ290_spl
| ~ sQ18_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f136,f2557]) ).
fof(f4072,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ18_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f136,f1981]) ).
fof(f4073,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ18_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f136,f1982]) ).
fof(f4074,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ18_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f136,f1561]) ).
fof(f4075,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ18_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f136,f1560]) ).
fof(f4076,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ18_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f136,f712]) ).
fof(f4077,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ18_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f136,f713]) ).
fof(f4078,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f136,f564]) ).
fof(f4079,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f136,f563]) ).
fof(f4085,plain,
( ~ sQ226_spl
| ~ sQ18_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4061,f81,f135,f1783]) ).
fof(f4086,plain,
( ~ sQ290_spl
| ~ sQ18_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f4071,f113,f135,f2556]) ).
fof(f4087,plain,
( ~ sQ113_spl
| ~ sQ18_spl
| sQ203_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f4072,f2068,f1521,f135,f459]) ).
fof(f4088,plain,
( ~ sQ113_spl
| ~ sQ18_spl
| sQ188_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f4073,f2068,f1394,f135,f459]) ).
fof(f4089,definition,
! [X0] :
( sQ363_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f4090,plain,
! [X0] :
( ~ sQ363_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f4089]) ).
fof(f4092,plain,
( ~ sQ88_spl
| ~ sQ18_spl
| sQ195_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f4074,f4089,f1429,f135,f374]) ).
fof(f4093,plain,
( ~ sQ88_spl
| ~ sQ18_spl
| sQ203_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f4075,f4089,f1521,f135,f374]) ).
fof(f4094,definition,
! [X0] :
( sQ364_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f4095,plain,
! [X0] :
( ~ sQ364_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f4094]) ).
fof(f4097,plain,
( ~ sQ48_spl
| ~ sQ18_spl
| sQ146_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f4076,f4094,f827,f135,f236]) ).
fof(f4098,plain,
( ~ sQ48_spl
| ~ sQ18_spl
| sQ199_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f4077,f4094,f1450,f135,f236]) ).
fof(f4099,plain,
( ~ sQ18_spl
| sQ138_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f4078,f550,f786,f135]) ).
fof(f4100,plain,
( ~ sQ18_spl
| sQ128_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f4079,f550,f553,f135]) ).
fof(f4101,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ17_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f573,f101]) ).
fof(f4102,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sQ138_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f4101,f2906,f786,f132,f100]) ).
fof(f4105,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f570,f101]) ).
fof(f4106,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f4105,f1015,f132,f100]) ).
fof(f4107,plain,
( ~ sQ105_spl
| ~ sQ362_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f435,f4031]) ).
fof(f4108,plain,
( ~ sQ105_spl
| ~ sQ362_spl ),
inference(contradiction_clause,[status(thm)],[f4107]) ).
fof(f4109,plain,
( ~ sQ75_spl
| ~ sQ345_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f334,f3680]) ).
fof(f4110,plain,
( ~ sQ75_spl
| ~ sQ345_spl ),
inference(contradiction_clause,[status(thm)],[f4109]) ).
fof(f4111,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ37_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f868,f101]) ).
fof(f4112,plain,
( ~ sQ7_spl
| ~ sQ37_spl
| sQ288_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f4111,f3769,f2546,f201,f100]) ).
fof(f4113,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ37_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f869,f101]) ).
fof(f4114,plain,
( ~ sQ7_spl
| ~ sQ37_spl
| sQ199_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f4113,f3769,f1450,f201,f100]) ).
fof(f4115,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ72_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1052,f101]) ).
fof(f4116,plain,
( ~ sQ7_spl
| ~ sQ72_spl
| sQ154_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f4115,f1039,f1005,f318,f100]) ).
fof(f4121,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ117_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1894,f101]) ).
fof(f4122,plain,
( ~ sQ7_spl
| ~ sQ117_spl
| sQ156_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f4121,f3219,f1015,f472,f100]) ).
fof(f4123,plain,
( ~ sQ208_spl
| ~ sQ119_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f1868,f421,f478,f1637]) ).
fof(f4124,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ122_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1845,f101]) ).
fof(f4125,plain,
( ~ sQ7_spl
| ~ sQ122_spl
| sQ154_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f4124,f3231,f1005,f488,f100]) ).
fof(f4126,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ122_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1846,f101]) ).
fof(f4127,plain,
( ~ sQ7_spl
| ~ sQ122_spl
| sQ188_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f4126,f3231,f1394,f488,f100]) ).
fof(f4128,plain,
( ~ sQ48_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f237,f711]) ).
fof(f4129,plain,
( ~ sQ48_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f710]) ).
fof(f4130,plain,
( ~ sQ98_spl
| ~ sQ48_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f237,f1367]) ).
fof(f4131,plain,
( ~ sQ361_spl
| ~ sQ48_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f237,f4022]) ).
fof(f4132,plain,
( ~ sQ364_spl
| ~ sQ48_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f237,f4095]) ).
fof(f4133,plain,
( ~ sQ48_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f237,f709]) ).
fof(f4134,plain,
( ~ sQ324_spl
| ~ sQ48_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f237,f3331]) ).
fof(f4135,plain,
( ~ sQ325_spl
| ~ sQ48_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f237,f3336]) ).
fof(f4136,plain,
( ~ sQ326_spl
| ~ sQ48_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f237,f3341]) ).
fof(f4137,plain,
( ~ sQ327_spl
| ~ sQ48_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f237,f3346]) ).
fof(f4138,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ48_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f237,f1371]) ).
fof(f4139,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ48_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f237,f1370]) ).
fof(f4140,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ48_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f237,f1286]) ).
fof(f4141,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ48_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f237,f1287]) ).
fof(f4143,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f237,f713]) ).
fof(f4149,plain,
( ~ sQ98_spl
| ~ sQ48_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f4130,f1015,f236,f406]) ).
fof(f4150,plain,
( ~ sQ361_spl
| ~ sQ48_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f4131,f179,f236,f4021]) ).
fof(f4151,plain,
( ~ sQ98_spl
| ~ sQ48_spl
| sQ156_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f4138,f1438,f1015,f236,f406]) ).
fof(f4152,plain,
( ~ sQ98_spl
| ~ sQ48_spl
| sQ126_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f4139,f1438,f507,f236,f406]) ).
fof(f4153,definition,
! [X0] :
( sQ365_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f4154,plain,
! [X0] :
( ~ sQ365_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f4153]) ).
fof(f4156,plain,
( ~ sQ58_spl
| ~ sQ48_spl
| sQ136_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f4140,f4153,f771,f236,f273]) ).
fof(f4157,plain,
( ~ sQ58_spl
| ~ sQ48_spl
| sQ288_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f4141,f4153,f2546,f236,f273]) ).
fof(f4159,plain,
( ~ sQ48_spl
| sQ132_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f4143,f831,f657,f236]) ).
fof(f4160,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f215,f743]) ).
fof(f4161,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f215,f742]) ).
fof(f4162,plain,
( ~ sQ343_spl
| ~ sQ41_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f215,f3666]) ).
fof(f4163,plain,
( ~ sQ41_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f215,f741]) ).
fof(f4164,plain,
( ~ sQ356_spl
| ~ sQ41_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f215,f3966]) ).
fof(f4165,plain,
( ~ sQ338_spl
| ~ sQ41_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f215,f3597]) ).
fof(f4166,plain,
( ~ sQ321_spl
| ~ sQ41_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f215,f3244]) ).
fof(f4167,plain,
( ~ sQ205_spl
| ~ sQ41_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f215,f1545]) ).
fof(f4168,plain,
( ~ sQ281_spl
| ~ sQ41_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f215,f2417]) ).
fof(f4169,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ41_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f215,f2148]) ).
fof(f4170,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ41_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f215,f2147]) ).
fof(f4171,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ41_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f215,f999]) ).
fof(f4173,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ41_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f215,f1619]) ).
fof(f4174,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ41_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f215,f1618]) ).
fof(f4175,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ41_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f215,f2107]) ).
fof(f4176,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ41_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f215,f2106]) ).
fof(f4177,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ41_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f215,f1744]) ).
fof(f4178,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ41_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f215,f1743]) ).
fof(f4179,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ41_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f215,f2038]) ).
fof(f4180,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ41_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f215,f2037]) ).
fof(f4181,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ41_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f215,f532]) ).
fof(f4182,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ41_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f215,f531]) ).
fof(f4188,plain,
( ~ sQ356_spl
| ~ sQ41_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f4164,f201,f214,f3965]) ).
fof(f4189,plain,
( ~ sQ338_spl
| ~ sQ41_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f4165,f166,f214,f3596]) ).
fof(f4190,definition,
! [X0] :
( sQ366_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f4191,plain,
! [X0] :
( ~ sQ366_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f4190]) ).
fof(f4193,plain,
( ~ sQ101_spl
| ~ sQ41_spl
| sQ154_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f4169,f4190,f1005,f214,f421]) ).
fof(f4194,plain,
( ~ sQ101_spl
| ~ sQ41_spl
| sQ167_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f4170,f4190,f1137,f214,f421]) ).
fof(f4195,plain,
( ~ sQ26_spl
| ~ sQ41_spl
| sQ132_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f4171,f2551,f657,f214,f166]) ).
fof(f4197,definition,
! [X0] :
( sQ367_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f4198,plain,
! [X0] :
( ~ sQ367_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f4197]) ).
fof(f4200,plain,
( ~ sQ81_spl
| ~ sQ41_spl
| sQ156_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f4173,f4197,f1015,f214,f352]) ).
fof(f4201,plain,
( ~ sQ81_spl
| ~ sQ41_spl
| sQ134_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f4174,f4197,f764,f214,f352]) ).
fof(f4202,plain,
( ~ sQ106_spl
| ~ sQ41_spl
| sQ154_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f4175,f3102,f1005,f214,f437]) ).
fof(f4203,plain,
( ~ sQ106_spl
| ~ sQ41_spl
| sQ134_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f4176,f3102,f764,f214,f437]) ).
fof(f4204,plain,
( ~ sQ76_spl
| ~ sQ41_spl
| sQ156_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f4177,f1783,f1015,f214,f336]) ).
fof(f4205,plain,
( ~ sQ76_spl
| ~ sQ41_spl
| sQ167_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f4178,f1783,f1137,f214,f336]) ).
fof(f4206,plain,
( ~ sQ111_spl
| ~ sQ41_spl
| sQ154_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f4179,f2045,f1005,f214,f453]) ).
fof(f4207,plain,
( ~ sQ111_spl
| ~ sQ41_spl
| sQ203_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f4180,f2045,f1521,f214,f453]) ).
fof(f4208,plain,
( ~ sQ21_spl
| ~ sQ41_spl
| sQ140_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f4181,f803,f799,f214,f145]) ).
fof(f4209,plain,
( ~ sQ21_spl
| ~ sQ41_spl
| sQ146_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f4182,f803,f827,f214,f145]) ).
fof(f4210,plain,
( ~ sQ252_spl
| ~ sQ10_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f2830,f84,f110,f2078]) ).
fof(f4211,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ97_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1377,f101]) ).
fof(f4212,plain,
( ~ sQ7_spl
| ~ sQ97_spl
| sQ154_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f4211,f2778,f1005,f403,f100]) ).
fof(f4213,plain,
( ~ sQ209_spl
| ~ sQ46_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f3313,f182,f230,f1644]) ).
fof(f4214,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ97_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1378,f101]) ).
fof(f4215,plain,
( ~ sQ7_spl
| ~ sQ97_spl
| sQ195_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f4214,f2778,f1429,f403,f100]) ).
fof(f4216,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ112_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2022,f101]) ).
fof(f4217,plain,
( ~ sQ7_spl
| ~ sQ112_spl
| sQ188_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f4216,f2063,f1394,f456,f100]) ).
fof(f4218,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ112_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2021,f101]) ).
fof(f4219,plain,
( ~ sQ7_spl
| ~ sQ112_spl
| sQ288_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f4218,f2063,f2546,f456,f100]) ).
fof(f4222,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ82_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1611,f101]) ).
fof(f4223,plain,
( ~ sQ7_spl
| ~ sQ82_spl
| sQ132_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f4222,f3197,f657,f355,f100]) ).
fof(f4224,plain,
( ~ sQ7_spl
| ~ sQ82_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1608,f101]) ).
fof(f4225,plain,
( ~ sQ7_spl
| ~ sQ82_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f4224,f1429,f355,f100]) ).
fof(f4226,plain,
( ~ sQ10_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f111,f634]) ).
fof(f4227,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f111,f589]) ).
fof(f4228,plain,
( ~ sQ10_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f111,f633]) ).
fof(f4229,plain,
( ~ sQ60_spl
| ~ sQ10_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f111,f1257]) ).
fof(f4230,plain,
( ~ sQ10_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f111,f632]) ).
fof(f4232,plain,
( ~ sQ360_spl
| ~ sQ10_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f111,f4015]) ).
fof(f4233,plain,
( ~ sQ337_spl
| ~ sQ10_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f111,f3592]) ).
fof(f4234,plain,
( ~ sQ241_spl
| ~ sQ10_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f111,f1985]) ).
fof(f4239,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ10_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f111,f1062]) ).
fof(f4240,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ10_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f111,f1063]) ).
fof(f4241,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ10_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f111,f1260]) ).
fof(f4242,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ10_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f111,f1261]) ).
fof(f4243,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ10_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f111,f591]) ).
fof(f4244,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ10_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f111,f592]) ).
fof(f4252,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f4227,f1208,f110,f126]) ).
fof(f4253,plain,
( ~ sQ60_spl
| ~ sQ10_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f4229,f1718,f110,f280]) ).
fof(f4254,plain,
( ~ sQ337_spl
| ~ sQ10_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4233,f81,f110,f3591]) ).
fof(f4255,plain,
( ~ sQ241_spl
| ~ sQ10_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f4234,f100,f110,f1984]) ).
fof(f4256,definition,
! [X0] :
( sQ368_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f4257,plain,
! [X0] :
( ~ sQ368_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f4256]) ).
fof(f4259,plain,
( ~ sQ70_spl
| ~ sQ10_spl
| sQ144_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f4239,f4256,f820,f110,f312]) ).
fof(f4260,plain,
( ~ sQ70_spl
| ~ sQ10_spl
| sQ220_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f4240,f4256,f1718,f110,f312]) ).
fof(f4261,plain,
( ~ sQ60_spl
| ~ sQ10_spl
| sQ130_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f4241,f1240,f643,f110,f280]) ).
fof(f4262,plain,
( ~ sQ60_spl
| ~ sQ10_spl
| sQ220_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f4242,f1240,f1718,f110,f280]) ).
fof(f4263,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| sQ177_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f4243,f3398,f1208,f110,f126]) ).
fof(f4264,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| sQ138_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f4244,f3398,f786,f110,f126]) ).
fof(f4267,plain,
( ~ sQ15_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f127,f590]) ).
fof(f4268,plain,
( ~ sQ15_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f127,f589]) ).
fof(f4269,plain,
( ~ sQ40_spl
| ~ sQ15_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f127,f746]) ).
fof(f4270,plain,
( ~ sQ15_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f127,f588]) ).
fof(f4271,plain,
( ~ sQ334_spl
| ~ sQ15_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f127,f3484]) ).
fof(f4272,plain,
( ~ sQ317_spl
| ~ sQ15_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f127,f3220]) ).
fof(f4273,plain,
( ~ sQ303_spl
| ~ sQ15_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f127,f2865]) ).
fof(f4274,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ15_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f127,f1062]) ).
fof(f4275,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ15_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f127,f1063]) ).
fof(f4276,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ15_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f127,f1260]) ).
fof(f4277,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ15_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f127,f1261]) ).
fof(f4279,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f127,f592]) ).
fof(f4285,plain,
( ~ sQ40_spl
| ~ sQ15_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f4269,f1450,f126,f211]) ).
fof(f4286,definition,
! [X0] :
( sQ369_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f4287,plain,
! [X0] :
( ~ sQ369_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f4286]) ).
fof(f4289,plain,
( ~ sQ70_spl
| ~ sQ15_spl
| sQ146_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f4274,f4286,f827,f126,f312]) ).
fof(f4290,plain,
( ~ sQ70_spl
| ~ sQ15_spl
| sQ220_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f4275,f4286,f1718,f126,f312]) ).
fof(f4291,plain,
( ~ sQ60_spl
| ~ sQ15_spl
| sQ203_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f4276,f1204,f1521,f126,f280]) ).
fof(f4292,plain,
( ~ sQ60_spl
| ~ sQ15_spl
| sQ220_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f4277,f1204,f1718,f126,f280]) ).
fof(f4294,plain,
( ~ sQ15_spl
| sQ138_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f4279,f550,f786,f126]) ).
fof(f4295,plain,
( ~ sQ248_spl
| ~ sQ18_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f4069,f110,f135,f2045]) ).
fof(f4296,plain,
( ~ sQ287_spl
| ~ sQ18_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f4068,f84,f135,f2543]) ).
fof(f4297,plain,
( ~ sQ277_spl
| ~ sQ64_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f3954,f260,f292,f2328]) ).
fof(f4298,plain,
( ~ sQ39_spl
| ~ sQ260_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f208,f3311]) ).
fof(f4299,plain,
( ~ sQ39_spl
| ~ sQ260_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f4298]) ).
fof(f4302,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2243,f101]) ).
fof(f4303,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| sQ138_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f4302,f2219,f786,f84,f100]) ).
fof(f4304,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ27_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f987,f101]) ).
fof(f4305,plain,
( ~ sQ7_spl
| ~ sQ27_spl
| sQ140_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f4304,f3362,f799,f169,f100]) ).
fof(f4306,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ27_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f988,f101]) ).
fof(f4307,plain,
( ~ sQ7_spl
| ~ sQ27_spl
| sQ199_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f4306,f3362,f1450,f169,f100]) ).
fof(f4308,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ32_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f934,f101]) ).
fof(f4309,plain,
( ~ sQ7_spl
| ~ sQ32_spl
| sQ199_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f4308,f2994,f1450,f185,f100]) ).
fof(f4310,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ32_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f933,f101]) ).
fof(f4311,plain,
( ~ sQ7_spl
| ~ sQ32_spl
| sQ132_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f4310,f2994,f657,f185,f100]) ).
fof(f4312,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2240,f101]) ).
fof(f4313,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f4312,f799,f84,f100]) ).
fof(f4314,plain,
( ~ sQ286_spl
| ~ sQ63_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f3503,f248,f289,f2501]) ).
fof(f4315,plain,
( ~ sQ322_spl
| ~ sQ63_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f3500,f270,f289,f3280]) ).
fof(f4316,plain,
( ~ sQ285_spl
| ~ sQ46_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f3308,f204,f230,f2494]) ).
fof(f4317,plain,
( ~ sQ89_spl
| ~ sQ205_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f378,f2356]) ).
fof(f4318,plain,
( ~ sQ89_spl
| ~ sQ205_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f4317]) ).
fof(f4319,plain,
( ~ sQ303_spl
| ~ sQ90_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f3029,f377,f381,f2864]) ).
fof(f4320,plain,
( ~ sQ97_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f404,f1376]) ).
fof(f4321,plain,
( ~ sQ97_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f404,f1375]) ).
fof(f4322,plain,
( ~ sQ157_spl
| ~ sQ97_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f404,f1040]) ).
fof(f4323,plain,
( ~ sQ369_spl
| ~ sQ97_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f404,f4287]) ).
fof(f4324,plain,
( ~ sQ368_spl
| ~ sQ97_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f404,f4257]) ).
fof(f4325,plain,
( ~ sQ97_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f404,f1374]) ).
fof(f4326,plain,
( ~ sQ349_spl
| ~ sQ97_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f404,f3817]) ).
fof(f4327,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ97_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f404,f1052]) ).
fof(f4328,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ97_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f404,f1053]) ).
fof(f4329,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ97_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f404,f2021]) ).
fof(f4330,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ97_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f404,f2022]) ).
fof(f4332,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ97_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f404,f1729]) ).
fof(f4333,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f404,f1378]) ).
fof(f4334,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f404,f1377]) ).
fof(f4340,plain,
( ~ sQ368_spl
| ~ sQ97_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f4324,f377,f403,f4256]) ).
fof(f4341,definition,
! [X0] :
( sQ370_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f4342,plain,
! [X0] :
( ~ sQ370_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f4341]) ).
fof(f4344,plain,
( ~ sQ72_spl
| ~ sQ97_spl
| sQ126_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f4327,f4341,f507,f403,f318]) ).
fof(f4345,plain,
( ~ sQ72_spl
| ~ sQ97_spl
| sQ203_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f4328,f4341,f1521,f403,f318]) ).
fof(f4346,plain,
( ~ sQ112_spl
| ~ sQ97_spl
| sQ228_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f4329,f1989,f1809,f403,f456]) ).
fof(f4347,plain,
( ~ sQ112_spl
| ~ sQ97_spl
| sQ146_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f4330,f1989,f827,f403,f456]) ).
fof(f4349,plain,
( ~ sQ77_spl
| ~ sQ97_spl
| sQ128_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f4332,f1745,f553,f403,f339]) ).
fof(f4350,definition,
! [X0] :
( sQ371_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f4351,plain,
! [X0] :
( ~ sQ371_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f4350]) ).
fof(f4353,plain,
( ~ sQ97_spl
| sQ128_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f4333,f4350,f553,f403]) ).
fof(f4354,plain,
( ~ sQ97_spl
| sQ126_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f4334,f4350,f507,f403]) ).
fof(f4355,plain,
! [X0] :
( ~ sQ371_spl
| ~ product(X0,e_1,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f4351]) ).
fof(f4356,plain,
( ~ sQ121_spl
| ~ sQ371_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f486,f4355]) ).
fof(f4357,plain,
( ~ sQ121_spl
| ~ sQ371_spl ),
inference(contradiction_clause,[status(thm)],[f4356]) ).
fof(f4358,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f667]) ).
fof(f4359,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f666]) ).
fof(f4360,plain,
( ~ sQ8_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f104,f665]) ).
fof(f4362,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ8_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f104,f712]) ).
fof(f4363,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ8_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f104,f713]) ).
fof(f4371,plain,
( ~ sQ48_spl
| ~ sQ8_spl
| sQ154_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f4362,f768,f1005,f103,f236]) ).
fof(f4372,plain,
( ~ sQ48_spl
| ~ sQ8_spl
| sQ199_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f4363,f768,f1450,f103,f236]) ).
fof(f4375,plain,
( ~ sQ77_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f340,f1727]) ).
fof(f4376,plain,
( ~ sQ77_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f340,f1726]) ).
fof(f4377,plain,
( ~ sQ77_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f340,f1725]) ).
fof(f4378,plain,
( ~ sQ355_spl
| ~ sQ77_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f340,f3937]) ).
fof(f4380,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ77_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f340,f572]) ).
fof(f4381,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ77_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f340,f573]) ).
fof(f4382,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ77_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f340,f1074]) ).
fof(f4383,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ77_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f340,f1075]) ).
fof(f4384,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ77_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f340,f869]) ).
fof(f4385,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ77_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f340,f868]) ).
fof(f4395,plain,
( ~ sQ17_spl
| ~ sQ77_spl
| sQ195_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f4380,f1637,f1429,f339,f132]) ).
fof(f4396,plain,
( ~ sQ17_spl
| ~ sQ77_spl
| sQ167_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f4381,f1637,f1137,f339,f132]) ).
fof(f4397,definition,
! [X0] :
( sQ372_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f4398,plain,
! [X0] :
( ~ sQ372_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f4397]) ).
fof(f4400,plain,
( ~ sQ67_spl
| ~ sQ77_spl
| sQ195_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f4382,f4397,f1429,f339,f302]) ).
fof(f4401,plain,
( ~ sQ67_spl
| ~ sQ77_spl
| sQ203_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f4383,f4397,f1521,f339,f302]) ).
fof(f4402,plain,
( ~ sQ37_spl
| ~ sQ77_spl
| sQ134_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f4384,f1750,f764,f339,f201]) ).
fof(f4403,plain,
( ~ sQ37_spl
| ~ sQ77_spl
| sQ220_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f4385,f1750,f1718,f339,f201]) ).
fof(f4408,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f167,f997]) ).
fof(f4409,plain,
( ~ sQ26_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f167,f996]) ).
fof(f4410,plain,
( ~ sQ1_spl
| ~ sQ26_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f167,f2289]) ).
fof(f4411,plain,
( ~ sQ101_spl
| ~ sQ26_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f167,f2144]) ).
fof(f4412,plain,
( ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f995]) ).
fof(f4413,plain,
( ~ sQ267_spl
| ~ sQ26_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f167,f2255]) ).
fof(f4414,plain,
( ~ sQ339_spl
| ~ sQ26_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f167,f3612]) ).
fof(f4415,plain,
( ~ sQ340_spl
| ~ sQ26_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f167,f3625]) ).
fof(f4416,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ26_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f167,f1584]) ).
fof(f4417,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ26_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f167,f1585]) ).
fof(f4418,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ26_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f167,f2107]) ).
fof(f4419,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ26_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f167,f2106]) ).
fof(f4420,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ26_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f167,f1383]) ).
fof(f4421,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ26_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f167,f1382]) ).
fof(f4422,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ26_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f167,f2293]) ).
fof(f4423,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ26_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f167,f2292]) ).
fof(f4424,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ26_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f167,f627]) ).
fof(f4425,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ26_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f167,f628]) ).
fof(f4426,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ26_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f167,f1317]) ).
fof(f4427,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ26_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f167,f1318]) ).
fof(f4428,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ26_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f167,f2148]) ).
fof(f4429,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ26_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f167,f2147]) ).
fof(f4430,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f167,f999]) ).
fof(f4431,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f167,f998]) ).
fof(f4432,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ26_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f167,f1857]) ).
fof(f4433,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ26_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f167,f1856]) ).
fof(f4439,plain,
( ~ sQ1_spl
| ~ sQ26_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f4410,f799,f166,f81]) ).
fof(f4440,plain,
( ~ sQ101_spl
| ~ sQ26_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f4411,f1005,f166,f421]) ).
fof(f4441,definition,
! [X0] :
( sQ373_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f4442,plain,
! [X0] :
( ~ sQ373_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f4441]) ).
fof(f4444,plain,
( ~ sQ86_spl
| ~ sQ26_spl
| sQ220_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f4416,f4441,f1718,f166,f368]) ).
fof(f4445,plain,
( ~ sQ86_spl
| ~ sQ26_spl
| sQ156_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f4417,f4441,f1015,f166,f368]) ).
fof(f4446,plain,
( ~ sQ106_spl
| ~ sQ26_spl
| sQ154_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f4418,f4009,f1005,f166,f437]) ).
fof(f4447,plain,
( ~ sQ106_spl
| ~ sQ26_spl
| sQ199_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f4419,f4009,f1450,f166,f437]) ).
fof(f4448,plain,
( ~ sQ96_spl
| ~ sQ26_spl
| sQ156_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f4420,f2184,f1015,f166,f400]) ).
fof(f4449,plain,
( ~ sQ96_spl
| ~ sQ26_spl
| sQ188_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f4421,f2184,f1394,f166,f400]) ).
fof(f4450,definition,
! [X0] :
( sQ374_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f4451,plain,
! [X0] :
( ~ sQ374_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f4450]) ).
fof(f4453,plain,
( ~ sQ1_spl
| ~ sQ26_spl
| sQ140_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f4422,f4450,f799,f166,f81]) ).
fof(f4454,plain,
( ~ sQ1_spl
| ~ sQ26_spl
| sQ138_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f4423,f4450,f786,f166,f81]) ).
fof(f4455,plain,
( ~ sQ11_spl
| ~ sQ26_spl
| sQ220_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4424,f3403,f1718,f166,f113]) ).
fof(f4456,plain,
( ~ sQ11_spl
| ~ sQ26_spl
| sQ140_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4425,f3403,f799,f166,f113]) ).
fof(f4457,definition,
! [X0] :
( sQ375_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f4458,plain,
! [X0] :
( ~ sQ375_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f4457]) ).
fof(f4460,plain,
( ~ sQ56_spl
| ~ sQ26_spl
| sQ199_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f4426,f4457,f1450,f166,f267]) ).
fof(f4461,plain,
( ~ sQ56_spl
| ~ sQ26_spl
| sQ288_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f4427,f4457,f2546,f166,f267]) ).
fof(f4462,plain,
( ~ sQ101_spl
| ~ sQ26_spl
| sQ154_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f4428,f3906,f1005,f166,f421]) ).
fof(f4463,plain,
( ~ sQ101_spl
| ~ sQ26_spl
| sQ138_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f4429,f3906,f786,f166,f421]) ).
fof(f4464,plain,
( ~ sQ26_spl
| sQ132_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f4430,f973,f657,f166]) ).
fof(f4465,plain,
( ~ sQ26_spl
| sQ138_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f4431,f973,f786,f166]) ).
fof(f4466,plain,
( ~ sQ121_spl
| ~ sQ26_spl
| sQ154_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f4432,f1824,f1005,f166,f485]) ).
fof(f4467,plain,
( ~ sQ121_spl
| ~ sQ26_spl
| sQ188_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f4433,f1824,f1394,f166,f485]) ).
fof(f4476,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f149,f523]) ).
fof(f4477,plain,
( ~ sQ22_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f149,f522]) ).
fof(f4478,plain,
( ~ sQ22_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f149,f521]) ).
fof(f4480,plain,
( ~ sQ157_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f149,f1040]) ).
fof(f4481,plain,
( ~ sQ369_spl
| ~ sQ22_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f149,f4287]) ).
fof(f4482,plain,
( ~ sQ349_spl
| ~ sQ22_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f149,f3817]) ).
fof(f4485,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ22_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f149,f1300]) ).
fof(f4486,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ22_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f149,f1301]) ).
fof(f4487,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ22_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f149,f1074]) ).
fof(f4488,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ22_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f149,f1075]) ).
fof(f4496,plain,
( ~ sQ349_spl
| ~ sQ22_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f4482,f81,f148,f3816]) ).
fof(f4499,definition,
! [X0] :
( sQ376_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f4500,plain,
! [X0] :
( ~ sQ376_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f4499]) ).
fof(f4502,plain,
( ~ sQ57_spl
| ~ sQ22_spl
| sQ136_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f4485,f4499,f771,f148,f270]) ).
fof(f4503,plain,
( ~ sQ57_spl
| ~ sQ22_spl
| sQ220_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f4486,f4499,f1718,f148,f270]) ).
fof(f4504,plain,
( ~ sQ67_spl
| ~ sQ22_spl
| sQ149_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f4487,f1093,f846,f148,f302]) ).
fof(f4505,plain,
( ~ sQ67_spl
| ~ sQ22_spl
| sQ220_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f4488,f1093,f1718,f148,f302]) ).
fof(f4508,plain,
( ~ sQ1_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f82,f2291]) ).
fof(f4509,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f82,f579]) ).
fof(f4510,plain,
( ~ sQ1_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f82,f2290]) ).
fof(f4511,plain,
( ~ sQ76_spl
| ~ sQ1_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f82,f1740]) ).
fof(f4512,plain,
( ~ sQ1_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f82,f2289]) ).
fof(f4513,plain,
( ~ sQ267_spl
| ~ sQ1_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f82,f2255]) ).
fof(f4514,plain,
( ~ sQ339_spl
| ~ sQ1_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f82,f3612]) ).
fof(f4515,plain,
( ~ sQ340_spl
| ~ sQ1_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f82,f3625]) ).
fof(f4516,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ1_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f82,f1057]) ).
fof(f4517,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ1_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f82,f1058]) ).
fof(f4518,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ1_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f82,f2368]) ).
fof(f4520,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ1_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f82,f2038]) ).
fof(f4521,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ1_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f82,f2037]) ).
fof(f4522,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ1_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f82,f1744]) ).
fof(f4523,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ1_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f82,f1743]) ).
fof(f4524,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ1_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f82,f582]) ).
fof(f4525,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ1_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f82,f581]) ).
fof(f4526,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ1_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f82,f723]) ).
fof(f4527,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ1_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f82,f722]) ).
fof(f4528,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f82,f2293]) ).
fof(f4535,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f4509,f1429,f81,f129]) ).
fof(f4536,plain,
( ~ sQ76_spl
| ~ sQ1_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f4511,f1429,f81,f336]) ).
fof(f4537,definition,
! [X0] :
( sQ377_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f4538,plain,
! [X0] :
( ~ sQ377_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f4537]) ).
fof(f4540,plain,
( ~ sQ71_spl
| ~ sQ1_spl
| sQ188_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f4516,f4537,f1394,f81,f315]) ).
fof(f4541,plain,
( ~ sQ71_spl
| ~ sQ1_spl
| sQ220_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f4517,f4537,f1718,f81,f315]) ).
fof(f4542,definition,
! [X0] :
( sQ378_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f4543,plain,
! [X0] :
( ~ sQ378_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f4542]) ).
fof(f4545,plain,
( ~ sQ91_spl
| ~ sQ1_spl
| sQ195_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f4518,f4542,f1429,f81,f384]) ).
fof(f4547,plain,
( ~ sQ111_spl
| ~ sQ1_spl
| sQ188_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f4520,f2264,f1394,f81,f453]) ).
fof(f4548,plain,
( ~ sQ111_spl
| ~ sQ1_spl
| sQ220_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f4521,f2264,f1718,f81,f453]) ).
fof(f4549,plain,
( ~ sQ76_spl
| ~ sQ1_spl
| sQ195_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f4522,f2254,f1429,f81,f336]) ).
fof(f4550,plain,
( ~ sQ76_spl
| ~ sQ1_spl
| sQ138_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f4523,f2254,f786,f81,f336]) ).
fof(f4551,definition,
! [X0] :
( sQ379_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f4552,plain,
! [X0] :
( ~ sQ379_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f4551]) ).
fof(f4554,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sQ138_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f4524,f4551,f786,f81,f129]) ).
fof(f4555,plain,
( ~ sQ16_spl
| ~ sQ1_spl
| sQ195_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f4525,f4551,f1429,f81,f129]) ).
fof(f4556,definition,
! [X0] :
( sQ380_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f4557,plain,
! [X0] :
( ~ sQ380_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f4556]) ).
fof(f4559,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| sQ199_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f4526,f4556,f1450,f81,f230]) ).
fof(f4560,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| sQ188_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f4527,f4556,f1394,f81,f230]) ).
fof(f4561,plain,
( ~ sQ1_spl
| sQ138_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f4528,f783,f786,f81]) ).
fof(f4563,plain,
( ~ sQ313_spl
| ~ sQ43_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f3720,f179,f220,f3102]) ).
fof(f4565,plain,
( ~ sQ248_spl
| ~ sQ43_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f3059,f195,f220,f2045]) ).
fof(f4566,plain,
( ~ sQ76_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f337,f1742]) ).
fof(f4567,plain,
( ~ sQ81_spl
| ~ sQ76_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f337,f1616]) ).
fof(f4568,plain,
( ~ sQ86_spl
| ~ sQ76_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f337,f1582]) ).
fof(f4569,plain,
( ~ sQ76_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f337,f1741]) ).
fof(f4570,plain,
( ~ sQ51_spl
| ~ sQ76_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f337,f1344]) ).
fof(f4571,plain,
( ~ sQ76_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f337,f1740]) ).
fof(f4572,plain,
( ~ sQ267_spl
| ~ sQ76_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f337,f2255]) ).
fof(f4573,plain,
( ~ sQ339_spl
| ~ sQ76_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f337,f3612]) ).
fof(f4574,plain,
( ~ sQ340_spl
| ~ sQ76_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f337,f3625]) ).
fof(f4575,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ76_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f337,f1079]) ).
fof(f4576,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ76_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f337,f1080]) ).
fof(f4577,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ76_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f337,f1619]) ).
fof(f4578,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ76_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f337,f1618]) ).
fof(f4579,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ76_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f337,f1348]) ).
fof(f4580,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ76_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f337,f1347]) ).
fof(f4581,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ76_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f337,f2107]) ).
fof(f4582,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ76_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f337,f2106]) ).
fof(f4583,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ76_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f337,f1584]) ).
fof(f4584,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ76_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f337,f1585]) ).
fof(f4585,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ76_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f337,f689]) ).
fof(f4586,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ76_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f337,f688]) ).
fof(f4587,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f337,f1744]) ).
fof(f4588,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f337,f1743]) ).
fof(f4594,plain,
( ~ sQ81_spl
| ~ sQ76_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f4567,f1450,f336,f352]) ).
fof(f4595,plain,
( ~ sQ86_spl
| ~ sQ76_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f4568,f1718,f336,f368]) ).
fof(f4596,plain,
( ~ sQ51_spl
| ~ sQ76_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f4570,f1521,f336,f251]) ).
fof(f4597,plain,
( ~ sQ66_spl
| ~ sQ76_spl
| sQ195_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f4575,f4397,f1429,f336,f299]) ).
fof(f4598,plain,
( ~ sQ66_spl
| ~ sQ76_spl
| sQ203_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f4576,f4397,f1521,f336,f299]) ).
fof(f4599,plain,
( ~ sQ81_spl
| ~ sQ76_spl
| sQ128_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f4577,f3809,f553,f336,f352]) ).
fof(f4600,plain,
( ~ sQ81_spl
| ~ sQ76_spl
| sQ199_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f4578,f3809,f1450,f336,f352]) ).
fof(f4601,plain,
( ~ sQ51_spl
| ~ sQ76_spl
| sQ203_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f4579,f3624,f1521,f336,f251]) ).
fof(f4602,plain,
( ~ sQ51_spl
| ~ sQ76_spl
| sQ138_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f4580,f3624,f786,f336,f251]) ).
fof(f4603,definition,
! [X0] :
( sQ381_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f4604,plain,
! [X0] :
( ~ sQ381_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f4603]) ).
fof(f4606,plain,
( ~ sQ106_spl
| ~ sQ76_spl
| sQ146_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f4581,f4603,f827,f336,f437]) ).
fof(f4607,plain,
( ~ sQ106_spl
| ~ sQ76_spl
| sQ199_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f4582,f4603,f1450,f336,f437]) ).
fof(f4608,plain,
( ~ sQ86_spl
| ~ sQ76_spl
| sQ220_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f4583,f3450,f1718,f336,f368]) ).
fof(f4609,plain,
( ~ sQ86_spl
| ~ sQ76_spl
| sQ128_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f4584,f3450,f553,f336,f368]) ).
fof(f4610,plain,
( ~ sQ6_spl
| ~ sQ76_spl
| sQ167_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f4585,f1710,f1137,f336,f97]) ).
fof(f4611,plain,
( ~ sQ6_spl
| ~ sQ76_spl
| sQ199_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f4586,f1710,f1450,f336,f97]) ).
fof(f4612,plain,
( ~ sQ76_spl
| sQ128_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f4587,f1936,f553,f336]) ).
fof(f4613,plain,
( ~ sQ76_spl
| sQ138_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f4588,f1936,f786,f336]) ).
fof(f4614,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f1024]) ).
fof(f4615,plain,
( ~ sQ30_spl
| ~ sQ25_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f164,f954]) ).
fof(f4616,plain,
( ~ sQ25_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f164,f1023]) ).
fof(f4617,plain,
( ~ sQ25_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1022]) ).
fof(f4620,plain,
( ~ sQ352_spl
| ~ sQ25_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f164,f3898]) ).
fof(f4621,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ25_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f1864]) ).
fof(f4622,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ25_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f1865]) ).
fof(f4623,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ25_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f956]) ).
fof(f4624,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ25_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f957]) ).
fof(f4625,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f164,f1026]) ).
fof(f4632,plain,
( ~ sQ30_spl
| ~ sQ25_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f4615,f1450,f163,f179]) ).
fof(f4633,plain,
( ~ sQ120_spl
| ~ sQ25_spl
| sQ188_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f4621,f1824,f1394,f163,f482]) ).
fof(f4634,plain,
( ~ sQ120_spl
| ~ sQ25_spl
| sQ154_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f4622,f1824,f1005,f163,f482]) ).
fof(f4635,definition,
! [X0] :
( sQ382_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f4636,plain,
! [X0] :
( ~ sQ382_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f4635]) ).
fof(f4638,plain,
( ~ sQ30_spl
| ~ sQ25_spl
| sQ199_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f4623,f4635,f1450,f163,f179]) ).
fof(f4639,plain,
( ~ sQ30_spl
| ~ sQ25_spl
| sQ132_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f4624,f4635,f657,f163,f179]) ).
fof(f4640,plain,
( ~ sQ25_spl
| sQ132_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f4625,f973,f657,f163]) ).
fof(f4642,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f635,f164]) ).
fof(f4643,plain,
( ~ sQ25_spl
| ~ sQ10_spl
| sQ220_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4642,f3403,f1718,f110,f163]) ).
fof(f4644,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f636,f164]) ).
fof(f4645,plain,
( ~ sQ25_spl
| ~ sQ10_spl
| sQ140_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4644,f3403,f799,f110,f163]) ).
fof(f4646,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ95_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1473,f164]) ).
fof(f4647,plain,
( ~ sQ25_spl
| ~ sQ95_spl
| sQ188_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f4646,f2184,f1394,f397,f163]) ).
fof(f4648,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ95_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1474,f164]) ).
fof(f4649,plain,
( ~ sQ25_spl
| ~ sQ95_spl
| sQ156_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f4648,f2184,f1015,f397,f163]) ).
fof(f4650,plain,
( ~ sQ10_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f111,f634]) ).
fof(f4651,plain,
( ~ sQ10_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f111,f633]) ).
fof(f4652,plain,
( ~ sQ10_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f111,f632]) ).
fof(f4654,plain,
( ~ sQ342_spl
| ~ sQ10_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f111,f3661]) ).
fof(f4655,plain,
( ~ sQ360_spl
| ~ sQ10_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f111,f4015]) ).
fof(f4659,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ10_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f111,f1625]) ).
fof(f4660,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ10_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f111,f1624]) ).
fof(f4661,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ10_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f111,f1864]) ).
fof(f4662,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ10_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f111,f1865]) ).
fof(f4663,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ10_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f111,f2156]) ).
fof(f4664,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ10_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f111,f2155]) ).
fof(f4665,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ10_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f111,f750]) ).
fof(f4666,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ10_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f111,f749]) ).
fof(f4674,definition,
! [X0] :
( sQ383_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f4675,plain,
! [X0] :
( ~ sQ383_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f4674]) ).
fof(f4677,plain,
( ~ sQ80_spl
| ~ sQ10_spl
| sQ195_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f4659,f4674,f1429,f110,f349]) ).
fof(f4678,plain,
( ~ sQ80_spl
| ~ sQ10_spl
| sQ163_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f4660,f4674,f1115,f110,f349]) ).
fof(f4679,definition,
! [X0] :
( sQ384_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f4680,plain,
! [X0] :
( ~ sQ384_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f4679]) ).
fof(f4682,plain,
( ~ sQ120_spl
| ~ sQ10_spl
| sQ144_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f4661,f4679,f820,f110,f482]) ).
fof(f4683,plain,
( ~ sQ120_spl
| ~ sQ10_spl
| sQ188_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f4662,f4679,f1394,f110,f482]) ).
fof(f4684,definition,
! [X0] :
( sQ385_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f4685,plain,
! [X0] :
( ~ sQ385_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f4684]) ).
fof(f4687,plain,
( ~ sQ100_spl
| ~ sQ10_spl
| sQ188_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f4663,f4684,f1394,f110,f418]) ).
fof(f4688,plain,
( ~ sQ100_spl
| ~ sQ10_spl
| sQ158_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f4664,f4684,f1043,f110,f418]) ).
fof(f4689,plain,
( ~ sQ40_spl
| ~ sQ10_spl
| sQ199_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f4665,f3097,f1450,f110,f211]) ).
fof(f4690,plain,
( ~ sQ40_spl
| ~ sQ10_spl
| sQ177_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f4666,f3097,f1208,f110,f211]) ).
fof(f4693,plain,
( ~ sQ334_spl
| ~ sQ15_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4271,f103,f126,f3483]) ).
fof(f4694,plain,
( ~ sQ111_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f454,f2036]) ).
fof(f4695,plain,
( ~ sQ111_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f454,f2035]) ).
fof(f4696,plain,
( ~ sQ111_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f454,f2034]) ).
fof(f4697,plain,
( ~ sQ302_spl
| ~ sQ111_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f454,f2860]) ).
fof(f4698,plain,
( ~ sQ373_spl
| ~ sQ111_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f454,f4442]) ).
fof(f4699,plain,
( ~ sQ357_spl
| ~ sQ111_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f454,f4000]) ).
fof(f4700,plain,
( ~ sQ350_spl
| ~ sQ111_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f454,f3850]) ).
fof(f4701,plain,
( ~ sQ346_spl
| ~ sQ111_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f454,f3761]) ).
fof(f4703,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ111_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f454,f2368]) ).
fof(f4704,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ111_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f454,f2367]) ).
fof(f4705,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ111_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f454,f1383]) ).
fof(f4706,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ111_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f454,f1382]) ).
fof(f4707,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f454,f2038]) ).
fof(f4708,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f454,f2037]) ).
fof(f4714,definition,
! [X0] :
( sQ386_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f4715,plain,
! [X0] :
( ~ sQ386_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f4714]) ).
fof(f4717,plain,
( ~ sQ91_spl
| ~ sQ111_spl
| sQ149_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f4703,f4714,f846,f453,f384]) ).
fof(f4718,plain,
( ~ sQ91_spl
| ~ sQ111_spl
| sQ177_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f4704,f4714,f1208,f453,f384]) ).
fof(f4719,plain,
( ~ sQ96_spl
| ~ sQ111_spl
| sQ149_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f4705,f1989,f846,f453,f400]) ).
fof(f4720,plain,
( ~ sQ96_spl
| ~ sQ111_spl
| sQ144_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f4706,f1989,f820,f453,f400]) ).
fof(f4721,definition,
! [X0] :
( sQ387_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f4722,plain,
! [X0] :
( ~ sQ387_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f4721]) ).
fof(f4724,plain,
( ~ sQ111_spl
| sQ126_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f4707,f4721,f507,f453]) ).
fof(f4725,plain,
( ~ sQ111_spl
| sQ130_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f4708,f4721,f643,f453]) ).
fof(f4726,plain,
! [X0] :
( ~ sQ387_spl
| ~ product(X0,e_3,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f4722]) ).
fof(f4727,plain,
( ~ sQ4_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f91,f704]) ).
fof(f4728,plain,
( ~ sQ4_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f91,f703]) ).
fof(f4729,plain,
( ~ sQ54_spl
| ~ sQ4_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f91,f1329]) ).
fof(f4730,plain,
( ~ sQ4_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f91,f702]) ).
fof(f4731,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ4_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f91,f1488]) ).
fof(f4733,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ4_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f91,f1333]) ).
fof(f4734,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ4_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f91,f1332]) ).
fof(f4742,plain,
( ~ sQ54_spl
| ~ sQ4_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f4729,f1718,f90,f260]) ).
fof(f4743,plain,
( ~ sQ94_spl
| ~ sQ4_spl
| sQ195_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f4731,f4542,f1429,f90,f393]) ).
fof(f4745,plain,
( ~ sQ54_spl
| ~ sQ4_spl
| sQ220_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f4733,f2295,f1718,f90,f260]) ).
fof(f4746,plain,
( ~ sQ54_spl
| ~ sQ4_spl
| sQ138_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f4734,f2295,f786,f90,f260]) ).
fof(f4751,plain,
( ~ sQ85_spl
| ~ sQ387_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f366,f4726]) ).
fof(f4752,plain,
( ~ sQ85_spl
| ~ sQ387_spl ),
inference(contradiction_clause,[status(thm)],[f4751]) ).
fof(f4753,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ64_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1184,f91]) ).
fof(f4754,definition,
! [X0] :
( sQ388_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f4755,plain,
! [X0] :
( ~ sQ388_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f4754]) ).
fof(f4757,plain,
( ~ sQ4_spl
| ~ sQ64_spl
| sQ220_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f4753,f4754,f1718,f292,f90]) ).
fof(f4758,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ84_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1599,f91]) ).
fof(f4759,plain,
( ~ sQ4_spl
| ~ sQ84_spl
| sQ199_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f4758,f2300,f1450,f361,f90]) ).
fof(f4760,plain,
( ~ sQ107_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f441,f2097]) ).
fof(f4761,plain,
( ~ sQ112_spl
| ~ sQ107_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f441,f2019]) ).
fof(f4762,plain,
( ~ sQ107_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f441,f2096]) ).
fof(f4763,plain,
( ~ sQ82_spl
| ~ sQ107_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f441,f1608]) ).
fof(f4764,plain,
( ~ sQ32_spl
| ~ sQ107_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f441,f930]) ).
fof(f4765,plain,
( ~ sQ107_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f441,f2095]) ).
fof(f4766,plain,
( ~ sQ375_spl
| ~ sQ107_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f441,f4458]) ).
fof(f4767,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ107_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f441,f1611]) ).
fof(f4768,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ107_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f441,f1612]) ).
fof(f4769,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ107_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f441,f2022]) ).
fof(f4770,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ107_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f441,f2021]) ).
fof(f4771,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ107_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f441,f1052]) ).
fof(f4772,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ107_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f441,f1053]) ).
fof(f4773,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ107_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f441,f933]) ).
fof(f4774,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ107_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f441,f934]) ).
fof(f4775,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ107_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f441,f1074]) ).
fof(f4776,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ107_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f441,f1075]) ).
fof(f4777,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ107_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f441,f988]) ).
fof(f4778,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ107_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f441,f987]) ).
fof(f4779,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ107_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f441,f620]) ).
fof(f4780,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ107_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f441,f619]) ).
fof(f4781,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f441,f2099]) ).
fof(f4782,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f441,f2098]) ).
fof(f4788,plain,
( ~ sQ112_spl
| ~ sQ107_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f4761,f2546,f440,f456]) ).
fof(f4789,plain,
( ~ sQ82_spl
| ~ sQ107_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f4763,f846,f440,f355]) ).
fof(f4790,plain,
( ~ sQ32_spl
| ~ sQ107_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f4764,f771,f440,f185]) ).
fof(f4791,definition,
! [X0] :
( sQ389_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f4792,plain,
! [X0] :
( ~ sQ389_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f4791]) ).
fof(f4794,plain,
( ~ sQ82_spl
| ~ sQ107_spl
| sQ132_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f4767,f4791,f657,f440,f355]) ).
fof(f4795,plain,
( ~ sQ82_spl
| ~ sQ107_spl
| sQ149_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f4768,f4791,f846,f440,f355]) ).
fof(f4796,plain,
( ~ sQ112_spl
| ~ sQ107_spl
| sQ126_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f4769,f4014,f507,f440,f456]) ).
fof(f4797,plain,
( ~ sQ112_spl
| ~ sQ107_spl
| sQ288_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f4770,f4014,f2546,f440,f456]) ).
fof(f4798,plain,
( ~ sQ72_spl
| ~ sQ107_spl
| sQ154_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f4771,f2214,f1005,f440,f318]) ).
fof(f4799,plain,
( ~ sQ72_spl
| ~ sQ107_spl
| sQ228_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f4772,f2214,f1809,f440,f318]) ).
fof(f4800,definition,
! [X0] :
( sQ390_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f4801,plain,
! [X0] :
( ~ sQ390_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f4800]) ).
fof(f4803,plain,
( ~ sQ32_spl
| ~ sQ107_spl
| sQ132_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f4773,f4800,f657,f440,f185]) ).
fof(f4804,plain,
( ~ sQ32_spl
| ~ sQ107_spl
| sQ136_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f4774,f4800,f771,f440,f185]) ).
fof(f4805,definition,
! [X0] :
( sQ391_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f4806,plain,
! [X0] :
( ~ sQ391_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f4805]) ).
fof(f4808,plain,
( ~ sQ67_spl
| ~ sQ107_spl
| sQ156_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f4775,f4805,f1015,f440,f302]) ).
fof(f4809,plain,
( ~ sQ67_spl
| ~ sQ107_spl
| sQ228_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f4776,f4805,f1809,f440,f302]) ).
fof(f4810,plain,
( ~ sQ27_spl
| ~ sQ107_spl
| sQ136_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f4777,f4009,f771,f440,f169]) ).
fof(f4811,plain,
( ~ sQ27_spl
| ~ sQ107_spl
| sQ140_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f4778,f4009,f799,f440,f169]) ).
fof(f4812,definition,
! [X0] :
( sQ392_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f4813,plain,
! [X0] :
( ~ sQ392_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f4812]) ).
fof(f4815,plain,
( ~ sQ12_spl
| ~ sQ107_spl
| sQ169_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f4779,f4812,f1144,f440,f116]) ).
fof(f4816,plain,
( ~ sQ12_spl
| ~ sQ107_spl
| sQ288_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f4780,f4812,f2546,f440,f116]) ).
fof(f4817,plain,
( ~ sQ107_spl
| sQ126_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f4781,f4026,f507,f440]) ).
fof(f4818,plain,
( ~ sQ107_spl
| sQ132_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f4782,f4026,f657,f440]) ).
fof(f4819,plain,
( ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f117,f618]) ).
fof(f4820,plain,
( ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f117,f617]) ).
fof(f4821,plain,
( ~ sQ316_spl
| ~ sQ12_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f117,f3213]) ).
fof(f4822,plain,
( ~ sQ388_spl
| ~ sQ12_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f117,f4755]) ).
fof(f4823,plain,
( ~ sQ179_spl
| ~ sQ12_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f117,f1241]) ).
fof(f4824,plain,
( ~ sQ112_spl
| ~ sQ12_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f117,f2018]) ).
fof(f4825,plain,
( ~ sQ12_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f117,f616]) ).
fof(f4826,plain,
( ~ sQ344_spl
| ~ sQ12_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f117,f3671]) ).
fof(f4827,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ12_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f117,f1516]) ).
fof(f4828,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ12_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f117,f1517]) ).
fof(f4829,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ12_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f117,f1611]) ).
fof(f4830,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ12_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f117,f1612]) ).
fof(f4831,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ12_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f117,f2022]) ).
fof(f4833,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ12_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f117,f1052]) ).
fof(f4834,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ12_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f117,f1053]) ).
fof(f4835,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ12_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f117,f933]) ).
fof(f4836,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ12_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f117,f934]) ).
fof(f4837,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ12_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f117,f1074]) ).
fof(f4838,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ12_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f117,f1075]) ).
fof(f4839,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ12_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f117,f988]) ).
fof(f4840,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ12_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f117,f987]) ).
fof(f4848,plain,
( ~ sQ388_spl
| ~ sQ12_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f4822,f90,f116,f4754]) ).
fof(f4849,plain,
( ~ sQ112_spl
| ~ sQ12_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f4824,f1394,f116,f456]) ).
fof(f4850,plain,
( ~ sQ92_spl
| ~ sQ12_spl
| sQ177_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f4827,f1544,f1208,f116,f387]) ).
fof(f4851,plain,
( ~ sQ92_spl
| ~ sQ12_spl
| sQ195_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f4828,f1544,f1429,f116,f387]) ).
fof(f4852,plain,
( ~ sQ82_spl
| ~ sQ12_spl
| sQ163_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f4829,f4674,f1115,f116,f355]) ).
fof(f4853,plain,
( ~ sQ82_spl
| ~ sQ12_spl
| sQ195_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f4830,f4674,f1429,f116,f355]) ).
fof(f4854,plain,
( ~ sQ112_spl
| ~ sQ12_spl
| sQ188_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f4831,f2618,f1394,f116,f456]) ).
fof(f4856,plain,
( ~ sQ72_spl
| ~ sQ12_spl
| sQ144_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f4833,f4256,f820,f116,f318]) ).
fof(f4857,plain,
( ~ sQ72_spl
| ~ sQ12_spl
| sQ220_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f4834,f4256,f1718,f116,f318]) ).
fof(f4858,plain,
( ~ sQ32_spl
| ~ sQ12_spl
| sQ163_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f4835,f2989,f1115,f116,f185]) ).
fof(f4859,plain,
( ~ sQ32_spl
| ~ sQ12_spl
| sQ199_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f4836,f2989,f1450,f116,f185]) ).
fof(f4860,plain,
( ~ sQ67_spl
| ~ sQ12_spl
| sQ177_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f4837,f2854,f1208,f116,f302]) ).
fof(f4861,plain,
( ~ sQ67_spl
| ~ sQ12_spl
| sQ220_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f4838,f2854,f1718,f116,f302]) ).
fof(f4862,plain,
( ~ sQ27_spl
| ~ sQ12_spl
| sQ199_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4839,f3403,f1450,f116,f169]) ).
fof(f4863,plain,
( ~ sQ27_spl
| ~ sQ12_spl
| sQ158_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4840,f3403,f1043,f116,f169]) ).
fof(f4866,plain,
( ~ sQ55_spl
| ~ sQ362_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f265,f4031]) ).
fof(f4867,plain,
( ~ sQ55_spl
| ~ sQ362_spl ),
inference(contradiction_clause,[status(thm)],[f4866]) ).
fof(f4868,plain,
( ~ sQ35_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f196,f895]) ).
fof(f4869,plain,
( ~ sQ35_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f196,f894]) ).
fof(f4870,plain,
( ~ sQ35_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f196,f893]) ).
fof(f4871,plain,
( ~ sQ85_spl
| ~ sQ35_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f196,f1591]) ).
fof(f4872,plain,
( ~ sQ244_spl
| ~ sQ35_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f196,f2000]) ).
fof(f4873,plain,
( ~ sQ247_spl
| ~ sQ35_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f196,f2041]) ).
fof(f4874,plain,
( ~ sQ249_spl
| ~ sQ35_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f196,f2064]) ).
fof(f4875,plain,
( ~ sQ342_spl
| ~ sQ35_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f196,f3661]) ).
fof(f4876,plain,
( ~ sQ293_spl
| ~ sQ35_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f196,f2619]) ).
fof(f4877,plain,
( ~ sQ269_spl
| ~ sQ35_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f196,f2265]) ).
fof(f4878,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ35_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f196,f1594]) ).
fof(f4879,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ35_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f196,f1595]) ).
fof(f4880,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ35_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f196,f1864]) ).
fof(f4881,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ35_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f196,f1865]) ).
fof(f4882,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ35_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f196,f1474]) ).
fof(f4883,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ35_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f196,f1473]) ).
fof(f4884,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ35_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f196,f698]) ).
fof(f4885,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ35_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f196,f699]) ).
fof(f4886,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f196,f897]) ).
fof(f4887,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f196,f896]) ).
fof(f4893,plain,
( ~ sQ85_spl
| ~ sQ35_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f4871,f1015,f195,f365]) ).
fof(f4894,plain,
( ~ sQ85_spl
| ~ sQ35_spl
| sQ130_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f4878,f3760,f643,f195,f365]) ).
fof(f4895,plain,
( ~ sQ85_spl
| ~ sQ35_spl
| sQ156_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f4879,f3760,f1015,f195,f365]) ).
fof(f4896,plain,
( ~ sQ120_spl
| ~ sQ35_spl
| sQ144_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f4880,f2333,f820,f195,f482]) ).
fof(f4897,plain,
( ~ sQ120_spl
| ~ sQ35_spl
| sQ154_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f4881,f2333,f1005,f195,f482]) ).
fof(f4898,plain,
( ~ sQ95_spl
| ~ sQ35_spl
| sQ156_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f4882,f2494,f1015,f195,f397]) ).
fof(f4899,plain,
( ~ sQ95_spl
| ~ sQ35_spl
| sQ144_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f4883,f2494,f820,f195,f397]) ).
fof(f4900,plain,
( ~ sQ5_spl
| ~ sQ35_spl
| sQ163_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f4884,f3769,f1115,f195,f94]) ).
fof(f4901,plain,
( ~ sQ5_spl
| ~ sQ35_spl
| sQ140_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f4885,f3769,f799,f195,f94]) ).
fof(f4902,plain,
( ~ sQ35_spl
| sQ132_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f4886,f880,f657,f195]) ).
fof(f4903,plain,
( ~ sQ35_spl
| sQ130_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f4887,f880,f643,f195]) ).
fof(f4904,plain,
( ~ sQ27_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f170,f986]) ).
fof(f4905,plain,
( ~ sQ32_spl
| ~ sQ27_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f170,f931]) ).
fof(f4906,plain,
( ~ sQ27_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f170,f985]) ).
fof(f4907,plain,
( ~ sQ27_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f170,f984]) ).
fof(f4908,plain,
( ~ sQ355_spl
| ~ sQ27_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f170,f3937]) ).
fof(f4909,plain,
( ~ sQ273_spl
| ~ sQ27_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f170,f2296]) ).
fof(f4910,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ27_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f170,f1052]) ).
fof(f4911,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ27_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f170,f1053]) ).
fof(f4912,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ27_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f170,f933]) ).
fof(f4913,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ27_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f170,f934]) ).
fof(f4914,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ27_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f170,f1074]) ).
fof(f4915,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ27_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f170,f1075]) ).
fof(f4916,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f170,f988]) ).
fof(f4917,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f170,f987]) ).
fof(f4923,plain,
( ~ sQ32_spl
| ~ sQ27_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f4905,f1450,f169,f185]) ).
fof(f4924,plain,
( ~ sQ72_spl
| ~ sQ27_spl
| sQ188_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f4910,f1141,f1394,f169,f318]) ).
fof(f4925,plain,
( ~ sQ72_spl
| ~ sQ27_spl
| sQ288_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f4911,f1141,f2546,f169,f318]) ).
fof(f4926,plain,
( ~ sQ32_spl
| ~ sQ27_spl
| sQ199_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f4912,f4635,f1450,f169,f185]) ).
fof(f4927,plain,
( ~ sQ32_spl
| ~ sQ27_spl
| sQ132_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f4913,f4635,f657,f169,f185]) ).
fof(f4928,plain,
( ~ sQ67_spl
| ~ sQ27_spl
| sQ195_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f4914,f1134,f1429,f169,f302]) ).
fof(f4929,plain,
( ~ sQ67_spl
| ~ sQ27_spl
| sQ288_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f4915,f1134,f2546,f169,f302]) ).
fof(f4930,plain,
( ~ sQ27_spl
| sQ132_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f4916,f973,f657,f169]) ).
fof(f4931,plain,
( ~ sQ27_spl
| sQ138_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f4917,f973,f786,f169]) ).
fof(f4932,plain,
( ~ sQ261_spl
| ~ sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2763,f78,f103,f2202]) ).
fof(f4933,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ17_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f573,f170]) ).
fof(f4934,plain,
( ~ sQ27_spl
| ~ sQ17_spl
| sQ140_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f4933,f2425,f799,f132,f169]) ).
fof(f4935,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ17_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f572,f170]) ).
fof(f4936,plain,
( ~ sQ27_spl
| ~ sQ17_spl
| sQ195_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f4935,f2425,f1429,f132,f169]) ).
fof(f4937,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ112_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2021,f170]) ).
fof(f4938,definition,
! [X0] :
( sQ393_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f4939,plain,
! [X0] :
( ~ sQ393_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f4938]) ).
fof(f4941,plain,
( ~ sQ27_spl
| ~ sQ112_spl
| sQ220_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f4937,f4938,f1718,f456,f169]) ).
fof(f4942,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ112_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2022,f170]) ).
fof(f4943,plain,
( ~ sQ27_spl
| ~ sQ112_spl
| sQ154_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f4942,f4938,f1005,f456,f169]) ).
fof(f4944,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ52_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1342,f170]) ).
fof(f4945,plain,
( ~ sQ27_spl
| ~ sQ52_spl
| sQ138_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f4944,f3936,f786,f254,f169]) ).
fof(f4948,plain,
( ~ sQ27_spl
| ~ sQ77_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1725,f170]) ).
fof(f4949,plain,
( ~ sQ27_spl
| ~ sQ77_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f4948,f1015,f339,f169]) ).
fof(f4950,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ2_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2242,f170]) ).
fof(f4951,plain,
( ~ sQ27_spl
| ~ sQ2_spl
| sQ138_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f4950,f4450,f786,f84,f169]) ).
fof(f4958,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ82_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1612,f170]) ).
fof(f4959,plain,
( ~ sQ27_spl
| ~ sQ82_spl
| sQ156_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f4958,f3931,f1015,f355,f169]) ).
fof(f4960,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ82_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1611,f170]) ).
fof(f4961,plain,
( ~ sQ27_spl
| ~ sQ82_spl
| sQ199_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f4960,f3931,f1450,f355,f169]) ).
fof(f4962,plain,
( ~ sQ27_spl
| ~ sQ52_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1339,f170]) ).
fof(f4963,plain,
( ~ sQ27_spl
| ~ sQ52_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f4962,f2546,f254,f169]) ).
fof(f4964,plain,
( ~ sQ27_spl
| ~ sQ2_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2239,f170]) ).
fof(f4965,plain,
( ~ sQ27_spl
| ~ sQ2_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f4964,f799,f84,f169]) ).
fof(f4966,plain,
( ~ sQ343_spl
| ~ sQ41_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f4162,f163,f214,f3665]) ).
fof(f4967,plain,
( ~ sQ51_spl
| ~ sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f252,f1940]) ).
fof(f4968,plain,
( ~ sQ51_spl
| ~ sQ235_spl ),
inference(contradiction_clause,[status(thm)],[f4967]) ).
fof(f4969,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f667]) ).
fof(f4970,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f666]) ).
fof(f4971,plain,
( ~ sQ8_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f104,f665]) ).
fof(f4972,plain,
( ~ sQ382_spl
| ~ sQ8_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f104,f4636]) ).
fof(f4974,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ8_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f104,f1981]) ).
fof(f4975,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ8_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f104,f1982]) ).
fof(f4985,plain,
( ~ sQ113_spl
| ~ sQ8_spl
| sQ288_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f4974,f2063,f2546,f103,f459]) ).
fof(f4986,plain,
( ~ sQ113_spl
| ~ sQ8_spl
| sQ188_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f4975,f2063,f1394,f103,f459]) ).
fof(f4991,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f530]) ).
fof(f4992,plain,
( ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f529]) ).
fof(f4993,plain,
( ~ sQ121_spl
| ~ sQ21_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f146,f1853]) ).
fof(f4994,plain,
( ~ sQ257_spl
| ~ sQ21_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f146,f2181]) ).
fof(f4995,plain,
( ~ sQ242_spl
| ~ sQ21_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f146,f1990]) ).
fof(f4996,plain,
( ~ sQ96_spl
| ~ sQ21_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f146,f1379]) ).
fof(f4997,plain,
( ~ sQ21_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f528]) ).
fof(f4998,plain,
( ~ sQ285_spl
| ~ sQ21_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f146,f2495]) ).
fof(f5001,plain,
( ~ sQ332_spl
| ~ sQ21_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f146,f3446]) ).
fof(f5002,plain,
( ~ sQ370_spl
| ~ sQ21_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f146,f4342]) ).
fof(f5005,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ21_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f1857]) ).
fof(f5006,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ21_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f1856]) ).
fof(f5007,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ21_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f146,f1231]) ).
fof(f5008,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ21_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f146,f1230]) ).
fof(f5009,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ21_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f146,f1317]) ).
fof(f5010,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ21_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f146,f1318]) ).
fof(f5011,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ21_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f146,f1383]) ).
fof(f5012,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ21_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f146,f1382]) ).
fof(f5020,plain,
( ~ sQ121_spl
| ~ sQ21_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f4993,f1394,f145,f485]) ).
fof(f5021,plain,
( ~ sQ96_spl
| ~ sQ21_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f4996,f1429,f145,f400]) ).
fof(f5024,plain,
( ~ sQ121_spl
| ~ sQ21_spl
| sQ188_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f5005,f1952,f1394,f145,f485]) ).
fof(f5025,plain,
( ~ sQ121_spl
| ~ sQ21_spl
| sQ126_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f5006,f1952,f507,f145,f485]) ).
fof(f5026,plain,
( ~ sQ61_spl
| ~ sQ21_spl
| sQ220_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f5007,f1269,f1718,f145,f283]) ).
fof(f5027,plain,
( ~ sQ61_spl
| ~ sQ21_spl
| sQ228_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f5008,f1269,f1809,f145,f283]) ).
fof(f5028,plain,
( ~ sQ56_spl
| ~ sQ21_spl
| sQ136_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f5009,f4499,f771,f145,f267]) ).
fof(f5029,plain,
( ~ sQ56_spl
| ~ sQ21_spl
| sQ220_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f5010,f4499,f1718,f145,f267]) ).
fof(f5030,plain,
( ~ sQ96_spl
| ~ sQ21_spl
| sQ195_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f5011,f2468,f1429,f145,f400]) ).
fof(f5031,plain,
( ~ sQ96_spl
| ~ sQ21_spl
| sQ126_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f5012,f2468,f507,f145,f400]) ).
fof(f5034,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f755]) ).
fof(f5035,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f754]) ).
fof(f5036,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f753]) ).
fof(f5037,plain,
( ~ sQ304_spl
| ~ sQ38_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f205,f2870]) ).
fof(f5038,plain,
( ~ sQ347_spl
| ~ sQ38_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f205,f3770]) ).
fof(f5039,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f205,f757]) ).
fof(f5040,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f205,f756]) ).
fof(f5041,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ38_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f205,f668]) ).
fof(f5042,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ38_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f205,f669]) ).
fof(f5048,plain,
( ~ sQ38_spl
| sQ132_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f5039,f880,f657,f204]) ).
fof(f5049,plain,
( ~ sQ38_spl
| sQ130_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f5040,f880,f643,f204]) ).
fof(f5050,plain,
( ~ sQ8_spl
| ~ sQ38_spl
| sQ163_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f5041,f3769,f1115,f204,f103]) ).
fof(f5051,plain,
( ~ sQ8_spl
| ~ sQ38_spl
| sQ140_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f5042,f3769,f799,f204,f103]) ).
fof(f5052,plain,
( ~ sQ38_spl
| ~ sQ222_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1751,f205]) ).
fof(f5053,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ86_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1585,f146]) ).
fof(f5054,plain,
( ~ sQ21_spl
| ~ sQ86_spl
| sQ195_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f5053,f1586,f1429,f368,f145]) ).
fof(f5055,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ86_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1584,f146]) ).
fof(f5056,plain,
( ~ sQ21_spl
| ~ sQ86_spl
| sQ228_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f5055,f1586,f1809,f368,f145]) ).
fof(f5057,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ51_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1347,f146]) ).
fof(f5058,plain,
( ~ sQ21_spl
| ~ sQ51_spl
| sQ169_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f5057,f1391,f1144,f251,f145]) ).
fof(f5059,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ81_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1618,f146]) ).
fof(f5060,plain,
( ~ sQ21_spl
| ~ sQ81_spl
| sQ136_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f5059,f1657,f771,f352,f145]) ).
fof(f5061,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ81_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1619,f146]) ).
fof(f5062,plain,
( ~ sQ21_spl
| ~ sQ81_spl
| sQ195_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f5061,f1657,f1429,f352,f145]) ).
fof(f5063,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ66_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1080,f146]) ).
fof(f5064,plain,
( ~ sQ21_spl
| ~ sQ66_spl
| sQ220_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f5063,f1093,f1718,f299,f145]) ).
fof(f5065,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ66_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1079,f146]) ).
fof(f5066,plain,
( ~ sQ21_spl
| ~ sQ66_spl
| sQ149_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f5065,f1093,f846,f299,f145]) ).
fof(f5069,definition,
! [X0] :
( sQ394_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f5070,plain,
! [X0] :
( ~ sQ394_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f5069]) ).
fof(f5074,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ51_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1348,f146]) ).
fof(f5075,plain,
( ~ sQ21_spl
| ~ sQ51_spl
| sQ220_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f5074,f1391,f1718,f251,f145]) ).
fof(f5079,plain,
( ~ sQ72_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f319,f1051]) ).
fof(f5080,plain,
( ~ sQ72_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f319,f1050]) ).
fof(f5081,plain,
( ~ sQ97_spl
| ~ sQ72_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f319,f1374]) ).
fof(f5082,plain,
( ~ sQ47_spl
| ~ sQ72_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f319,f714]) ).
fof(f5083,plain,
( ~ sQ72_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f319,f1049]) ).
fof(f5084,plain,
( ~ sQ368_spl
| ~ sQ72_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f319,f4257]) ).
fof(f5085,plain,
( ~ sQ377_spl
| ~ sQ72_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f319,f4538]) ).
fof(f5087,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ72_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f319,f1516]) ).
fof(f5088,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ72_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f319,f1517]) ).
fof(f5089,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ72_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f319,f1378]) ).
fof(f5091,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ72_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f319,f2142]) ).
fof(f5092,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ72_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f319,f2143]) ).
fof(f5093,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ72_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f319,f620]) ).
fof(f5094,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ72_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f319,f619]) ).
fof(f5095,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ72_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f319,f718]) ).
fof(f5096,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ72_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f319,f717]) ).
fof(f5097,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ72_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f319,f933]) ).
fof(f5098,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ72_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f319,f934]) ).
fof(f5099,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f319,f1052]) ).
fof(f5100,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f319,f1053]) ).
fof(f5106,plain,
( ~ sQ97_spl
| ~ sQ72_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f5081,f1208,f318,f403]) ).
fof(f5107,plain,
( ~ sQ47_spl
| ~ sQ72_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f5082,f1115,f318,f233]) ).
fof(f5108,definition,
! [X0] :
( sQ395_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f5109,plain,
! [X0] :
( ~ sQ395_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f5108]) ).
fof(f5111,plain,
( ~ sQ92_spl
| ~ sQ72_spl
| sQ149_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f5087,f5108,f846,f318,f387]) ).
fof(f5112,plain,
( ~ sQ92_spl
| ~ sQ72_spl
| sQ177_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f5088,f5108,f1208,f318,f387]) ).
fof(f5113,plain,
( ~ sQ97_spl
| ~ sQ72_spl
| sQ177_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f5089,f4341,f1208,f318,f403]) ).
fof(f5115,plain,
( ~ sQ102_spl
| ~ sQ72_spl
| sQ169_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f5091,f2210,f1144,f318,f424]) ).
fof(f5116,plain,
( ~ sQ102_spl
| ~ sQ72_spl
| sQ144_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f5092,f2210,f820,f318,f424]) ).
fof(f5117,plain,
( ~ sQ12_spl
| ~ sQ72_spl
| sQ158_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f5093,f4256,f1043,f318,f116]) ).
fof(f5118,plain,
( ~ sQ12_spl
| ~ sQ72_spl
| sQ228_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f5094,f4256,f1809,f318,f116]) ).
fof(f5119,definition,
! [X0] :
( sQ396_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f5120,plain,
! [X0] :
( ~ sQ396_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f5119]) ).
fof(f5122,plain,
( ~ sQ47_spl
| ~ sQ72_spl
| sQ163_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f5095,f5119,f1115,f318,f233]) ).
fof(f5123,plain,
( ~ sQ47_spl
| ~ sQ72_spl
| sQ126_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f5096,f5119,f507,f318,f233]) ).
fof(f5124,plain,
( ~ sQ32_spl
| ~ sQ72_spl
| sQ136_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f5097,f2979,f771,f318,f185]) ).
fof(f5125,plain,
( ~ sQ32_spl
| ~ sQ72_spl
| sQ163_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f5098,f2979,f1115,f318,f185]) ).
fof(f5126,plain,
( ~ sQ72_spl
| sQ126_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f5099,f1159,f507,f318]) ).
fof(f5127,plain,
( ~ sQ72_spl
| sQ130_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f5100,f1159,f643,f318]) ).
fof(f5128,plain,
( ~ sQ357_spl
| ~ sQ111_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f4699,f434,f453,f3999]) ).
fof(f5129,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ111_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2037,f146]) ).
fof(f5130,plain,
( ~ sQ21_spl
| ~ sQ111_spl
| sQ228_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f5129,f1994,f1809,f453,f145]) ).
fof(f5131,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ111_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2038,f146]) ).
fof(f5132,plain,
( ~ sQ21_spl
| ~ sQ111_spl
| sQ188_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f5131,f1994,f1394,f453,f145]) ).
fof(f5133,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f1024]) ).
fof(f5134,plain,
( ~ sQ25_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f164,f1023]) ).
fof(f5135,plain,
( ~ sQ75_spl
| ~ sQ25_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f164,f1778]) ).
fof(f5136,plain,
( ~ sQ25_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1022]) ).
fof(f5140,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ25_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f164,f2116]) ).
fof(f5141,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ25_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f164,f2117]) ).
fof(f5153,plain,
( ~ sQ75_spl
| ~ sQ25_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f5135,f1015,f163,f333]) ).
fof(f5154,plain,
( ~ sQ105_spl
| ~ sQ25_spl
| sQ199_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f5140,f4009,f1450,f163,f434]) ).
fof(f5155,plain,
( ~ sQ105_spl
| ~ sQ25_spl
| sQ154_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f5141,f4009,f1005,f163,f434]) ).
fof(f5162,plain,
( ~ sQ76_spl
| ~ sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f337,f1940]) ).
fof(f5163,plain,
( ~ sQ76_spl
| ~ sQ235_spl ),
inference(contradiction_clause,[status(thm)],[f5162]) ).
fof(f5164,plain,
( ~ sQ32_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f186,f932]) ).
fof(f5165,plain,
( ~ sQ47_spl
| ~ sQ32_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f186,f715]) ).
fof(f5166,plain,
( ~ sQ32_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f186,f931]) ).
fof(f5167,plain,
( ~ sQ32_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f186,f930]) ).
fof(f5168,plain,
( ~ sQ185_spl
| ~ sQ32_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f186,f1308]) ).
fof(f5169,plain,
( ~ sQ375_spl
| ~ sQ32_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f186,f4458]) ).
fof(f5170,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ32_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f186,f2243]) ).
fof(f5172,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ32_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f186,f1516]) ).
fof(f5174,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ32_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f186,f1378]) ).
fof(f5175,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ32_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f186,f1377]) ).
fof(f5176,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ32_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f186,f2142]) ).
fof(f5177,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ32_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f186,f2143]) ).
fof(f5178,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ32_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f186,f718]) ).
fof(f5179,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ32_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f186,f717]) ).
fof(f5180,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f186,f933]) ).
fof(f5187,plain,
( ~ sQ47_spl
| ~ sQ32_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f5165,f1005,f185,f233]) ).
fof(f5188,definition,
! [X0] :
( sQ397_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f5189,plain,
! [X0] :
( ~ sQ397_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f5188]) ).
fof(f5191,plain,
( ~ sQ2_spl
| ~ sQ32_spl
| sQ140_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f5170,f5188,f799,f185,f84]) ).
fof(f5193,plain,
( ~ sQ92_spl
| ~ sQ32_spl
| sQ156_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f5172,f1489,f1015,f185,f387]) ).
fof(f5195,plain,
( ~ sQ97_spl
| ~ sQ32_spl
| sQ156_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f5174,f2984,f1015,f185,f403]) ).
fof(f5196,plain,
( ~ sQ97_spl
| ~ sQ32_spl
| sQ154_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f5175,f2984,f1005,f185,f403]) ).
fof(f5197,plain,
( ~ sQ102_spl
| ~ sQ32_spl
| sQ140_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f5176,f2202,f799,f185,f424]) ).
fof(f5198,plain,
( ~ sQ102_spl
| ~ sQ32_spl
| sQ154_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f5177,f2202,f1005,f185,f424]) ).
fof(f5199,definition,
! [X0] :
( sQ398_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f5200,plain,
! [X0] :
( ~ sQ398_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f5199]) ).
fof(f5202,plain,
( ~ sQ47_spl
| ~ sQ32_spl
| sQ132_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f5178,f5199,f657,f185,f233]) ).
fof(f5203,plain,
( ~ sQ47_spl
| ~ sQ32_spl
| sQ154_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f5179,f5199,f1005,f185,f233]) ).
fof(f5204,plain,
( ~ sQ32_spl
| sQ132_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f5180,f911,f657,f185]) ).
fof(f5206,plain,
( ~ sQ34_spl
| ~ sQ347_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f192,f5038]) ).
fof(f5207,plain,
( ~ sQ34_spl
| ~ sQ347_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f5206]) ).
fof(f5208,plain,
( ~ sQ301_spl
| ~ sQ42_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f2918,f207,f217,f2854]) ).
fof(f5209,plain,
( ~ sQ102_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f425,f2141]) ).
fof(f5210,plain,
( ~ sQ102_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f425,f2140]) ).
fof(f5211,plain,
( ~ sQ102_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f425,f2139]) ).
fof(f5213,plain,
( ~ sQ273_spl
| ~ sQ102_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f425,f2296]) ).
fof(f5214,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ102_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f425,f1378]) ).
fof(f5215,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ102_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f425,f1377]) ).
fof(f5216,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f425,f2142]) ).
fof(f5217,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f425,f2143]) ).
fof(f5223,plain,
( ~ sQ97_spl
| ~ sQ102_spl
| sQ149_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f5214,f2176,f846,f424,f403]) ).
fof(f5224,plain,
( ~ sQ97_spl
| ~ sQ102_spl
| sQ188_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f5215,f2176,f1394,f424,f403]) ).
fof(f5225,plain,
( ~ sQ102_spl
| sQ138_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f5216,f3675,f786,f424]) ).
fof(f5226,plain,
( ~ sQ102_spl
| sQ126_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f5217,f3675,f507,f424]) ).
fof(f5227,plain,
( ~ sQ25_spl
| ~ sQ345_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f164,f3680]) ).
fof(f5228,plain,
( ~ sQ25_spl
| ~ sQ345_spl ),
inference(contradiction_clause,[status(thm)],[f5227]) ).
fof(f5229,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ68_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2345,f104]) ).
fof(f5230,plain,
( ~ sQ8_spl
| ~ sQ68_spl
| sQ156_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f5229,f3224,f1015,f305,f103]) ).
fof(f5231,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ68_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2346,f104]) ).
fof(f5232,plain,
( ~ sQ8_spl
| ~ sQ68_spl
| sQ220_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f5231,f3224,f1718,f305,f103]) ).
fof(f5235,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ71_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1057,f146]) ).
fof(f5236,plain,
( ~ sQ21_spl
| ~ sQ71_spl
| sQ126_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f5235,f1097,f507,f315,f145]) ).
fof(f5237,plain,
( ~ sQ8_spl
| ~ sQ397_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f5189,f104]) ).
fof(f5238,plain,
( ~ sQ8_spl
| ~ sQ397_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f5237,f90,f5188,f103]) ).
fof(f5240,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ76_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1743,f146]) ).
fof(f5241,plain,
( ~ sQ21_spl
| ~ sQ76_spl
| sQ169_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f5240,f1755,f1144,f336,f145]) ).
fof(f5242,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ76_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1744,f146]) ).
fof(f5243,plain,
( ~ sQ21_spl
| ~ sQ76_spl
| sQ195_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f5242,f1755,f1429,f336,f145]) ).
fof(f5244,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ12_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f619,f425]) ).
fof(f5245,plain,
( ~ sQ102_spl
| ~ sQ12_spl
| sQ220_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f5244,f4684,f1718,f116,f424]) ).
fof(f5246,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ12_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f620,f425]) ).
fof(f5247,plain,
( ~ sQ102_spl
| ~ sQ12_spl
| sQ169_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f5246,f4684,f1144,f116,f424]) ).
fof(f5248,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ107_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2098,f425]) ).
fof(f5249,definition,
! [X0] :
( sQ399_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f5250,plain,
! [X0] :
( ~ sQ399_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f5249]) ).
fof(f5252,plain,
( ~ sQ102_spl
| ~ sQ107_spl
| sQ199_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f5248,f5249,f1450,f440,f424]) ).
fof(f5253,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ122_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1845,f425]) ).
fof(f5254,definition,
! [X0] :
( sQ400_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f5255,plain,
! [X0] :
( ~ sQ400_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f5254]) ).
fof(f5257,plain,
( ~ sQ102_spl
| ~ sQ122_spl
| sQ188_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f5253,f5254,f1394,f488,f424]) ).
fof(f5259,plain,
( ~ sQ21_spl
| ~ sQ193_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f1423,f146]) ).
fof(f5261,plain,
( ~ sQ8_spl
| ~ sQ309_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f2995,f104]) ).
fof(f5271,plain,
( ~ sQ21_spl
| ~ sQ71_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1054,f146]) ).
fof(f5272,plain,
( ~ sQ21_spl
| ~ sQ71_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f5271,f1718,f315,f145]) ).
fof(f5274,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ41_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f745,f146]) ).
fof(f5275,plain,
( ~ sQ21_spl
| ~ sQ41_spl
| sQ199_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f5274,f803,f1450,f214,f145]) ).
fof(f5276,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ41_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f744,f146]) ).
fof(f5277,plain,
( ~ sQ21_spl
| ~ sQ41_spl
| sQ149_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f5276,f803,f846,f214,f145]) ).
fof(f5298,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f1024]) ).
fof(f5299,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f164,f894]) ).
fof(f5300,plain,
( ~ sQ25_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f164,f1023]) ).
fof(f5301,plain,
( ~ sQ50_spl
| ~ sQ25_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f164,f1349]) ).
fof(f5302,plain,
( ~ sQ25_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1022]) ).
fof(f5303,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ25_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f164,f1918]) ).
fof(f5304,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ25_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f164,f1917]) ).
fof(f5305,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ25_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f164,f1625]) ).
fof(f5306,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ25_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f164,f1624]) ).
fof(f5307,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ25_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f164,f1328]) ).
fof(f5308,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ25_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f164,f1327]) ).
fof(f5309,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ25_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f164,f1260]) ).
fof(f5310,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ25_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f164,f1261]) ).
fof(f5311,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ25_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f164,f1537]) ).
fof(f5312,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ25_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f164,f1538]) ).
fof(f5313,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ25_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f164,f897]) ).
fof(f5314,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ25_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f164,f896]) ).
fof(f5315,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ25_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f164,f1352]) ).
fof(f5316,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ25_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f164,f1353]) ).
fof(f5324,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f5299,f1718,f163,f195]) ).
fof(f5325,plain,
( ~ sQ50_spl
| ~ sQ25_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f5301,f2546,f163,f248]) ).
fof(f5326,definition,
! [X0] :
( sQ401_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).
fof(f5327,plain,
! [X0] :
( ~ sQ401_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f5326]) ).
fof(f5329,plain,
( ~ sQ115_spl
| ~ sQ25_spl
| sQ154_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f5303,f5326,f1005,f163,f466]) ).
fof(f5330,plain,
( ~ sQ115_spl
| ~ sQ25_spl
| sQ195_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f5304,f5326,f1429,f163,f466]) ).
fof(f5331,plain,
( ~ sQ80_spl
| ~ sQ25_spl
| sQ156_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f5305,f3931,f1015,f163,f349]) ).
fof(f5332,plain,
( ~ sQ80_spl
| ~ sQ25_spl
| sQ199_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f5306,f3931,f1450,f163,f349]) ).
fof(f5333,plain,
( ~ sQ55_spl
| ~ sQ25_spl
| sQ288_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f5307,f4457,f2546,f163,f264]) ).
fof(f5334,plain,
( ~ sQ55_spl
| ~ sQ25_spl
| sQ199_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f5308,f4457,f1450,f163,f264]) ).
fof(f5335,plain,
( ~ sQ60_spl
| ~ sQ25_spl
| sQ220_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f5309,f1235,f1718,f163,f280]) ).
fof(f5336,plain,
( ~ sQ60_spl
| ~ sQ25_spl
| sQ288_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f5310,f1235,f2546,f163,f280]) ).
fof(f5337,definition,
! [X0] :
( sQ402_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f5338,plain,
! [X0] :
( ~ sQ402_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f5337]) ).
fof(f5340,plain,
( ~ sQ90_spl
| ~ sQ25_spl
| sQ195_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f5311,f5337,f1429,f163,f381]) ).
fof(f5341,plain,
( ~ sQ90_spl
| ~ sQ25_spl
| sQ156_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f5312,f5337,f1015,f163,f381]) ).
fof(f5342,definition,
! [X0] :
( sQ403_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f5343,plain,
! [X0] :
( ~ sQ403_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f5342]) ).
fof(f5345,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| sQ132_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f5313,f5342,f657,f163,f195]) ).
fof(f5346,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| sQ220_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f5314,f5342,f1718,f163,f195]) ).
fof(f5347,plain,
( ~ sQ50_spl
| ~ sQ25_spl
| sQ138_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f5315,f3936,f786,f163,f248]) ).
fof(f5348,plain,
( ~ sQ50_spl
| ~ sQ25_spl
| sQ288_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f5316,f3936,f2546,f163,f248]) ).
fof(f5351,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ110_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2061,f164]) ).
fof(f5352,plain,
( ~ sQ25_spl
| ~ sQ110_spl
| sQ220_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f5351,f4938,f1718,f450,f163]) ).
fof(f5353,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ110_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2062,f164]) ).
fof(f5354,plain,
( ~ sQ25_spl
| ~ sQ110_spl
| sQ154_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f5353,f4938,f1005,f450,f163]) ).
fof(f5363,plain,
( ~ sQ19_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f139,f546]) ).
fof(f5364,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f139,f703]) ).
fof(f5365,plain,
( ~ sQ19_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f139,f545]) ).
fof(f5366,plain,
( ~ sQ19_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f139,f544]) ).
fof(f5368,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ19_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f139,f1361]) ).
fof(f5369,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ19_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f139,f1360]) ).
fof(f5370,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ19_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f139,f705]) ).
fof(f5371,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ19_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f139,f706]) ).
fof(f5379,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f5364,f1137,f138,f90]) ).
fof(f5380,plain,
( ~ sQ99_spl
| ~ sQ19_spl
| sQ195_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f5368,f1671,f1429,f138,f409]) ).
fof(f5381,plain,
( ~ sQ99_spl
| ~ sQ19_spl
| sQ146_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f5369,f1671,f827,f138,f409]) ).
fof(f5382,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sQ167_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f5370,f4551,f1137,f138,f90]) ).
fof(f5383,plain,
( ~ sQ4_spl
| ~ sQ19_spl
| sQ138_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f5371,f4551,f786,f138,f90]) ).
fof(f5386,plain,
( ~ sQ77_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f340,f1727]) ).
fof(f5387,plain,
( ~ sQ77_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f340,f1726]) ).
fof(f5388,plain,
( ~ sQ102_spl
| ~ sQ77_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f340,f2139]) ).
fof(f5389,plain,
( ~ sQ77_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f340,f1725]) ).
fof(f5390,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ77_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f340,f2143]) ).
fof(f5391,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ77_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f340,f2142]) ).
fof(f5392,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ77_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f340,f933]) ).
fof(f5393,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ77_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f340,f934]) ).
fof(f5394,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ77_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f340,f1052]) ).
fof(f5395,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ77_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f340,f1053]) ).
fof(f5403,plain,
( ~ sQ102_spl
| ~ sQ77_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f5388,f827,f339,f424]) ).
fof(f5404,definition,
! [X0] :
( sQ404_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f5405,plain,
! [X0] :
( ~ sQ404_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f5404]) ).
fof(f5407,plain,
( ~ sQ102_spl
| ~ sQ77_spl
| sQ146_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f5390,f5404,f827,f339,f424]) ).
fof(f5408,plain,
( ~ sQ102_spl
| ~ sQ77_spl
| sQ138_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f5391,f5404,f786,f339,f424]) ).
fof(f5409,plain,
( ~ sQ32_spl
| ~ sQ77_spl
| sQ199_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f5392,f1765,f1450,f339,f185]) ).
fof(f5410,plain,
( ~ sQ32_spl
| ~ sQ77_spl
| sQ134_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f5393,f1765,f764,f339,f185]) ).
fof(f5411,plain,
( ~ sQ72_spl
| ~ sQ77_spl
| sQ188_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f5394,f3816,f1394,f339,f318]) ).
fof(f5412,plain,
( ~ sQ72_spl
| ~ sQ77_spl
| sQ203_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f5395,f3816,f1521,f339,f318]) ).
fof(f5415,plain,
( ~ sQ205_spl
| ~ sQ41_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f4167,f207,f214,f1544]) ).
fof(f5416,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ15_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f592,f164]) ).
fof(f5417,plain,
( ~ sQ25_spl
| ~ sQ15_spl
| sQ140_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f5416,f2425,f799,f126,f163]) ).
fof(f5418,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ15_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f591,f164]) ).
fof(f5419,plain,
( ~ sQ25_spl
| ~ sQ15_spl
| sQ195_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f5418,f2425,f1429,f126,f163]) ).
fof(f5428,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ85_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1595,f164]) ).
fof(f5429,plain,
( ~ sQ25_spl
| ~ sQ85_spl
| sQ156_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f5428,f4441,f1015,f365,f163]) ).
fof(f5430,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ85_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1594,f164]) ).
fof(f5431,plain,
( ~ sQ25_spl
| ~ sQ85_spl
| sQ220_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f5430,f4441,f1718,f365,f163]) ).
fof(f5436,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ45_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f728,f164]) ).
fof(f5437,plain,
( ~ sQ25_spl
| ~ sQ45_spl
| sQ132_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f5436,f3330,f657,f227,f163]) ).
fof(f5442,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ0_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2315,f164]) ).
fof(f5443,plain,
( ~ sQ25_spl
| ~ sQ0_spl
| sQ138_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f5442,f4450,f786,f78,f163]) ).
fof(f5452,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ91_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2367,f146]) ).
fof(f5453,plain,
( ~ sQ21_spl
| ~ sQ91_spl
| sQ149_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f5452,f2681,f846,f384,f145]) ).
fof(f5454,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ91_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2368,f146]) ).
fof(f5455,plain,
( ~ sQ21_spl
| ~ sQ91_spl
| sQ195_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f5454,f2681,f1429,f384,f145]) ).
fof(f5456,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ101_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2147,f146]) ).
fof(f5457,plain,
( ~ sQ21_spl
| ~ sQ101_spl
| sQ169_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f5456,f2676,f1144,f421,f145]) ).
fof(f5458,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ101_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2148,f146]) ).
fof(f5459,plain,
( ~ sQ21_spl
| ~ sQ101_spl
| sQ188_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f5458,f2676,f1394,f421,f145]) ).
fof(f5460,plain,
( ~ sQ25_spl
| ~ sQ45_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f725,f164]) ).
fof(f5461,plain,
( ~ sQ25_spl
| ~ sQ45_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f5460,f1394,f227,f163]) ).
fof(f5466,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ46_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f722,f146]) ).
fof(f5467,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| sQ126_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f5466,f807,f507,f230,f145]) ).
fof(f5478,plain,
( ~ sQ72_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f319,f1051]) ).
fof(f5479,plain,
( ~ sQ52_spl
| ~ sQ72_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f319,f1340]) ).
fof(f5480,plain,
( ~ sQ72_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f319,f1050]) ).
fof(f5481,plain,
( ~ sQ122_spl
| ~ sQ72_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f319,f1842]) ).
fof(f5482,plain,
( ~ sQ162_spl
| ~ sQ72_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f319,f1111]) ).
fof(f5483,plain,
( ~ sQ72_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f319,f1049]) ).
fof(f5484,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ72_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f319,f572]) ).
fof(f5485,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ72_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f319,f573]) ).
fof(f5486,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ72_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f319,f740]) ).
fof(f5488,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ72_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f319,f2243]) ).
fof(f5489,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ72_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f319,f2242]) ).
fof(f5490,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f319,f1894]) ).
fof(f5491,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ72_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f319,f1895]) ).
fof(f5492,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ72_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f319,f1343]) ).
fof(f5493,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ72_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f319,f1342]) ).
fof(f5494,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ72_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f319,f1846]) ).
fof(f5495,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ72_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f319,f1845]) ).
fof(f5503,plain,
( ~ sQ52_spl
| ~ sQ72_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f5479,f1144,f318,f254]) ).
fof(f5504,plain,
( ~ sQ122_spl
| ~ sQ72_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f5481,f820,f318,f488]) ).
fof(f5505,plain,
( ~ sQ162_spl
| ~ sQ72_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f5482,f305,f318,f1110]) ).
fof(f5506,plain,
( ~ sQ17_spl
| ~ sQ72_spl
| sQ149_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f5484,f4286,f846,f318,f132]) ).
fof(f5507,plain,
( ~ sQ17_spl
| ~ sQ72_spl
| sQ158_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f5485,f4286,f1043,f318,f132]) ).
fof(f5508,plain,
( ~ sQ42_spl
| ~ sQ72_spl
| sQ163_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f5486,f1110,f1115,f318,f217]) ).
fof(f5510,plain,
( ~ sQ2_spl
| ~ sQ72_spl
| sQ158_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f5488,f4537,f1043,f318,f84]) ).
fof(f5511,plain,
( ~ sQ2_spl
| ~ sQ72_spl
| sQ169_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f5489,f4537,f1144,f318,f84]) ).
fof(f5512,definition,
! [X0] :
( sQ405_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f5513,plain,
! [X0] :
( ~ sQ405_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f5512]) ).
fof(f5515,plain,
( ~ sQ117_spl
| ~ sQ72_spl
| sQ149_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f5490,f5512,f846,f318,f472]) ).
fof(f5516,plain,
( ~ sQ117_spl
| ~ sQ72_spl
| sQ144_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f5491,f5512,f820,f318,f472]) ).
fof(f5517,definition,
! [X0] :
( sQ406_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ406_spl])],[split_symbol_definition]) ).
fof(f5518,plain,
! [X0] :
( ~ sQ406_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f5517]) ).
fof(f5520,plain,
( ~ sQ52_spl
| ~ sQ72_spl
| sQ130_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f5492,f5517,f643,f318,f254]) ).
fof(f5521,plain,
( ~ sQ52_spl
| ~ sQ72_spl
| sQ169_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f5493,f5517,f1144,f318,f254]) ).
fof(f5522,definition,
! [X0] :
( sQ407_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).
fof(f5523,plain,
! [X0] :
( ~ sQ407_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f5522]) ).
fof(f5525,plain,
( ~ sQ122_spl
| ~ sQ72_spl
| sQ144_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f5494,f5522,f820,f318,f488]) ).
fof(f5526,plain,
( ~ sQ122_spl
| ~ sQ72_spl
| sQ126_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f5495,f5522,f507,f318,f488]) ).
fof(f5529,plain,
( ~ sQ377_spl
| ~ sQ72_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f5085,f260,f318,f4537]) ).
fof(f5530,plain,
( ~ sQ139_spl
| ~ sQ99_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f1355,f374,f409,f796]) ).
fof(f5531,plain,
( ~ sQ99_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f410,f1359]) ).
fof(f5532,plain,
( ~ sQ84_spl
| ~ sQ99_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f410,f1597]) ).
fof(f5533,plain,
( ~ sQ99_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f410,f1358]) ).
fof(f5534,plain,
( ~ sQ223_spl
| ~ sQ99_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f410,f1756]) ).
fof(f5535,plain,
( ~ sQ99_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f410,f1357]) ).
fof(f5536,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ99_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f410,f1599]) ).
fof(f5537,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ99_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f410,f1600]) ).
fof(f5538,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ99_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f410,f908]) ).
fof(f5539,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ99_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f410,f909]) ).
fof(f5540,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f410,f1361]) ).
fof(f5541,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f410,f1360]) ).
fof(f5547,plain,
( ~ sQ84_spl
| ~ sQ99_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f5532,f771,f409,f361]) ).
fof(f5548,plain,
( ~ sQ223_spl
| ~ sQ99_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f5534,f336,f409,f1755]) ).
fof(f5549,plain,
( ~ sQ84_spl
| ~ sQ99_spl
| sQ136_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f5536,f1644,f771,f409,f361]) ).
fof(f5550,plain,
( ~ sQ84_spl
| ~ sQ99_spl
| sQ128_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f5537,f1644,f553,f409,f361]) ).
fof(f5551,plain,
( ~ sQ34_spl
| ~ sQ99_spl
| sQ136_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f5538,f2984,f771,f409,f191]) ).
fof(f5552,plain,
( ~ sQ34_spl
| ~ sQ99_spl
| sQ134_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f5539,f2984,f764,f409,f191]) ).
fof(f5553,plain,
( ~ sQ99_spl
| sQ128_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f5540,f4350,f553,f409]) ).
fof(f5554,plain,
( ~ sQ99_spl
| sQ126_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f5541,f4350,f507,f409]) ).
fof(f5575,plain,
( ~ sQ25_spl
| ~ sQ0_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2312,f164]) ).
fof(f5576,plain,
( ~ sQ25_spl
| ~ sQ0_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f5575,f799,f78,f163]) ).
fof(f5593,plain,
( ~ sQ76_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f337,f1742]) ).
fof(f5594,plain,
( ~ sQ76_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f337,f1741]) ).
fof(f5595,plain,
( ~ sQ76_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f337,f1740]) ).
fof(f5596,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ76_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f337,f582]) ).
fof(f5597,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ76_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f337,f581]) ).
fof(f5598,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ76_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f337,f1057]) ).
fof(f5599,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ76_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f337,f1058]) ).
fof(f5602,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ76_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f337,f744]) ).
fof(f5603,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ76_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f337,f745]) ).
fof(f5604,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ76_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f337,f627]) ).
fof(f5605,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ76_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f337,f628]) ).
fof(f5613,plain,
( ~ sQ16_spl
| ~ sQ76_spl
| sQ167_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f5596,f1637,f1137,f336,f129]) ).
fof(f5614,plain,
( ~ sQ16_spl
| ~ sQ76_spl
| sQ195_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f5597,f1637,f1429,f336,f129]) ).
fof(f5615,plain,
( ~ sQ71_spl
| ~ sQ76_spl
| sQ188_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f5598,f3816,f1394,f336,f315]) ).
fof(f5616,plain,
( ~ sQ71_spl
| ~ sQ76_spl
| sQ203_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f5599,f3816,f1521,f336,f315]) ).
fof(f5619,plain,
( ~ sQ41_spl
| ~ sQ76_spl
| sQ195_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f5602,f1783,f1429,f336,f214]) ).
fof(f5620,plain,
( ~ sQ41_spl
| ~ sQ76_spl
| sQ134_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f5603,f1783,f764,f336,f214]) ).
fof(f5621,plain,
( ~ sQ11_spl
| ~ sQ76_spl
| sQ220_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f5604,f1715,f1718,f336,f113]) ).
fof(f5622,plain,
( ~ sQ11_spl
| ~ sQ76_spl
| sQ167_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f5605,f1715,f1137,f336,f113]) ).
fof(f5625,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f5626,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f5627,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f5641,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ4_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f706,f192]) ).
fof(f5642,plain,
( ~ sQ34_spl
| ~ sQ4_spl
| sQ140_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f5641,f5188,f799,f90,f191]) ).
fof(f5651,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ70_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1063,f164]) ).
fof(f5652,plain,
( ~ sQ25_spl
| ~ sQ70_spl
| sQ288_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f5651,f1141,f2546,f312,f163]) ).
fof(f5653,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ70_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1062,f164]) ).
fof(f5654,plain,
( ~ sQ25_spl
| ~ sQ70_spl
| sQ188_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f5653,f1141,f1394,f312,f163]) ).
fof(f5660,plain,
( ~ sQ8_spl
| ~ sQ3_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2164,f104]) ).
fof(f5661,plain,
( ~ sQ8_spl
| ~ sQ3_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f5660,f799,f87,f103]) ).
fof(f5662,plain,
( ~ sQ97_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f404,f1376]) ).
fof(f5663,plain,
( ~ sQ77_spl
| ~ sQ97_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f404,f1726]) ).
fof(f5664,plain,
( ~ sQ97_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f404,f1375]) ).
fof(f5665,plain,
( ~ sQ122_spl
| ~ sQ97_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f404,f1842]) ).
fof(f5666,plain,
( ~ sQ168_spl
| ~ sQ97_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f404,f1142]) ).
fof(f5668,plain,
( ~ sQ47_spl
| ~ sQ97_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f404,f714]) ).
fof(f5669,plain,
( ~ sQ97_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f404,f1374]) ).
fof(f5670,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ97_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f404,f2243]) ).
fof(f5671,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ97_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f404,f2242]) ).
fof(f5672,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ97_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f404,f1846]) ).
fof(f5673,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ97_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f404,f1845]) ).
fof(f5674,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ97_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f404,f1343]) ).
fof(f5675,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ97_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f404,f1342]) ).
fof(f5676,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ97_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f404,f2098]) ).
fof(f5677,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ97_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f404,f2099]) ).
fof(f5678,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ97_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f404,f620]) ).
fof(f5679,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ97_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f404,f619]) ).
fof(f5680,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ97_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f404,f1728]) ).
fof(f5682,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ97_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f404,f718]) ).
fof(f5683,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ97_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f404,f717]) ).
fof(f5691,plain,
( ~ sQ77_spl
| ~ sQ97_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f5663,f1144,f403,f339]) ).
fof(f5692,plain,
( ~ sQ122_spl
| ~ sQ97_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f5665,f827,f403,f488]) ).
fof(f5693,plain,
( ~ sQ47_spl
| ~ sQ97_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f5668,f764,f403,f233]) ).
fof(f5694,definition,
! [X0] :
( sQ408_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f5695,plain,
! [X0] :
( ~ sQ408_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f5694]) ).
fof(f5697,plain,
( ~ sQ2_spl
| ~ sQ97_spl
| sQ167_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f5670,f5694,f1137,f403,f84]) ).
fof(f5698,plain,
( ~ sQ2_spl
| ~ sQ97_spl
| sQ169_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f5671,f5694,f1144,f403,f84]) ).
fof(f5699,definition,
! [X0] :
( sQ409_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).
fof(f5700,plain,
! [X0] :
( ~ sQ409_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f5699]) ).
fof(f5702,plain,
( ~ sQ122_spl
| ~ sQ97_spl
| sQ146_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f5672,f5699,f827,f403,f488]) ).
fof(f5703,plain,
( ~ sQ122_spl
| ~ sQ97_spl
| sQ126_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f5673,f5699,f507,f403,f488]) ).
fof(f5704,definition,
! [X0] :
( sQ410_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f5705,plain,
! [X0] :
( ~ sQ410_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f5704]) ).
fof(f5707,plain,
( ~ sQ52_spl
| ~ sQ97_spl
| sQ203_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f5674,f5704,f1521,f403,f254]) ).
fof(f5708,plain,
( ~ sQ52_spl
| ~ sQ97_spl
| sQ169_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f5675,f5704,f1144,f403,f254]) ).
fof(f5709,plain,
( ~ sQ107_spl
| ~ sQ97_spl
| sQ136_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f5676,f2180,f771,f403,f440]) ).
fof(f5710,plain,
( ~ sQ107_spl
| ~ sQ97_spl
| sQ146_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f5677,f2180,f827,f403,f440]) ).
fof(f5711,plain,
( ~ sQ12_spl
| ~ sQ97_spl
| sQ167_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f5678,f2194,f1137,f403,f116]) ).
fof(f5712,plain,
( ~ sQ12_spl
| ~ sQ97_spl
| sQ228_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f5679,f2194,f1809,f403,f116]) ).
fof(f5713,plain,
( ~ sQ77_spl
| ~ sQ97_spl
| sQ169_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f5680,f1745,f1144,f403,f339]) ).
fof(f5715,plain,
( ~ sQ47_spl
| ~ sQ97_spl
| sQ134_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f5682,f1438,f764,f403,f233]) ).
fof(f5716,plain,
( ~ sQ47_spl
| ~ sQ97_spl
| sQ126_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f5683,f1438,f507,f403,f233]) ).
fof(f5719,plain,
( ~ sQ43_spl
| ~ sQ312_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f3121,f207,f3097,f220]) ).
fof(f5720,plain,
( ~ sQ326_spl
| ~ sQ48_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f4136,f207,f236,f3340]) ).
fof(f5721,plain,
( ~ sQ225_spl
| ~ sQ8_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2764,f81,f103,f1765]) ).
fof(f5722,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ20_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f541,f164]) ).
fof(f5723,plain,
( ~ sQ25_spl
| ~ sQ20_spl
| sQ140_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f5722,f2004,f799,f142,f163]) ).
fof(f5724,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ20_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f540,f164]) ).
fof(f5725,plain,
( ~ sQ25_spl
| ~ sQ20_spl
| sQ188_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f5724,f2004,f1394,f142,f163]) ).
fof(f5726,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f208,f63]) ).
fof(f5727,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f208,f61]) ).
fof(f5728,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f208,f59]) ).
fof(f5729,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f208,f67]) ).
fof(f5730,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f208,f65]) ).
fof(f5731,plain,
( ~ sQ39_spl
| ~ sQ330_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f3404,f208]) ).
fof(f5732,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ19_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f548,f208]) ).
fof(f5733,plain,
( ~ sQ39_spl
| ~ sQ19_spl
| sQ140_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f5732,f1676,f799,f138,f207]) ).
fof(f5734,plain,
( ~ sQ39_spl
| ~ sQ219_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1716,f208]) ).
fof(f5735,plain,
( ~ sQ39_spl
| ~ sQ292_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f2597,f208]) ).
fof(f5736,plain,
( ~ sQ39_spl
| ~ sQ385_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f4685,f208]) ).
fof(f5737,plain,
( ~ sQ39_spl
| ~ sQ385_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f5736,f163,f4684,f207]) ).
fof(f5738,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ19_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f547,f208]) ).
fof(f5739,plain,
( ~ sQ39_spl
| ~ sQ19_spl
| sQ177_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f5738,f1676,f1208,f138,f207]) ).
fof(f5744,plain,
( ~ sQ39_spl
| ~ sQ308_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f2990,f208]) ).
fof(f5745,plain,
( ~ sQ39_spl
| ~ sQ383_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f4675,f208]) ).
fof(f5746,plain,
( ~ sQ25_spl
| ~ sQ353_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f3907,f164]) ).
fof(f5747,plain,
( ~ sQ25_spl
| ~ sQ341_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f3656,f164]) ).
fof(f5748,plain,
( ~ sQ39_spl
| ~ sQ392_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f4813,f208]) ).
fof(f5749,plain,
( ~ sQ25_spl
| ~ sQ404_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f5405,f164]) ).
fof(f5750,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ64_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1185,f208]) ).
fof(f5751,definition,
! [X0] :
( sQ411_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f5752,plain,
! [X0] :
( ~ sQ411_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f5751]) ).
fof(f5754,plain,
( ~ sQ39_spl
| ~ sQ64_spl
| sQ288_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f5750,f5751,f2546,f292,f207]) ).
fof(f5755,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ64_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1184,f208]) ).
fof(f5756,plain,
( ~ sQ39_spl
| ~ sQ64_spl
| sQ130_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f5755,f5751,f643,f292,f207]) ).
fof(f5757,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ84_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1600,f208]) ).
fof(f5758,definition,
! [X0] :
( sQ412_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ412_spl])],[split_symbol_definition]) ).
fof(f5759,plain,
! [X0] :
( ~ sQ412_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f5758]) ).
fof(f5761,plain,
( ~ sQ39_spl
| ~ sQ84_spl
| sQ156_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f5757,f5758,f1015,f361,f207]) ).
fof(f5762,plain,
( ~ sQ327_spl
| ~ sQ48_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f4137,f198,f236,f3345]) ).
fof(f5763,plain,
( ~ sQ32_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f186,f932]) ).
fof(f5764,plain,
( ~ sQ32_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f186,f931]) ).
fof(f5765,plain,
( ~ sQ32_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f186,f930]) ).
fof(f5767,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ32_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f186,f1053]) ).
fof(f5775,plain,
( ~ sQ72_spl
| ~ sQ32_spl
| sQ288_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f5767,f2979,f2546,f185,f318]) ).
fof(f5778,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f215,f744]) ).
fof(f5779,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f215,f745]) ).
fof(f5782,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f215,f59]) ).
fof(f5785,plain,
( ~ sQ41_spl
| sQ128_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f5778,f842,f553,f214]) ).
fof(f5786,plain,
( ~ sQ41_spl
| sQ132_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f5779,f842,f657,f214]) ).
fof(f5787,plain,
( ~ sQ41_spl
| ~ sQ279_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f2371,f215]) ).
fof(f5816,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ91_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2367,f215]) ).
fof(f5817,definition,
! [X0] :
( sQ413_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ413_spl])],[split_symbol_definition]) ).
fof(f5818,plain,
! [X0] :
( ~ sQ413_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f5817]) ).
fof(f5820,plain,
( ~ sQ41_spl
| ~ sQ91_spl
| sQ128_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f5816,f5817,f553,f384,f214]) ).
fof(f5823,plain,
( ~ sQ41_spl
| ~ sQ413_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f5818,f215]) ).
fof(f5834,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ66_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1079,f215]) ).
fof(f5835,plain,
( ~ sQ41_spl
| ~ sQ66_spl
| sQ128_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f5834,f1106,f553,f299,f214]) ).
fof(f5840,plain,
( ~ sQ41_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f741,f215]) ).
fof(f5841,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f742,f215]) ).
fof(f5842,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f743,f215]) ).
fof(f5843,plain,
( ~ sQ41_spl
| ~ sQ91_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f2364,f215]) ).
fof(f5844,plain,
( ~ sQ41_spl
| ~ sQ91_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f5843,f1015,f384,f214]) ).
fof(f5849,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ56_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1318,f215]) ).
fof(f5850,plain,
( ~ sQ41_spl
| ~ sQ56_spl
| sQ288_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f5849,f1319,f2546,f267,f214]) ).
fof(f5851,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ56_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1317,f215]) ).
fof(f5852,plain,
( ~ sQ41_spl
| ~ sQ56_spl
| sQ134_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f5851,f1319,f764,f267,f214]) ).
fof(f5853,plain,
( ~ sQ41_spl
| ~ sQ402_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f5338,f215]) ).
fof(f5854,plain,
( ~ sQ41_spl
| ~ sQ66_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1076,f215]) ).
fof(f5855,plain,
( ~ sQ41_spl
| ~ sQ66_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f5854,f2546,f299,f214]) ).
fof(f5856,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f85,f2241]) ).
fof(f5857,plain,
( ~ sQ12_spl
| ~ sQ2_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f85,f617]) ).
fof(f5858,plain,
( ~ sQ2_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f85,f2240]) ).
fof(f5859,plain,
( ~ sQ2_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f85,f2239]) ).
fof(f5860,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ2_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f85,f718]) ).
fof(f5861,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ2_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f85,f717]) ).
fof(f5862,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ2_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f85,f1846]) ).
fof(f5864,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ2_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f85,f620]) ).
fof(f5865,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ2_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f85,f619]) ).
fof(f5866,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f85,f2243]) ).
fof(f5873,plain,
( ~ sQ12_spl
| ~ sQ2_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f5857,f1718,f84,f116]) ).
fof(f5874,plain,
( ~ sQ47_spl
| ~ sQ2_spl
| sQ199_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f5860,f4556,f1450,f84,f233]) ).
fof(f5875,plain,
( ~ sQ47_spl
| ~ sQ2_spl
| sQ188_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f5861,f4556,f1394,f84,f233]) ).
fof(f5876,plain,
( ~ sQ122_spl
| ~ sQ2_spl
| sQ188_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f5862,f2323,f1394,f84,f488]) ).
fof(f5878,plain,
( ~ sQ12_spl
| ~ sQ2_spl
| sQ138_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f5864,f2328,f786,f84,f116]) ).
fof(f5879,plain,
( ~ sQ12_spl
| ~ sQ2_spl
| sQ220_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f5865,f2328,f1718,f84,f116]) ).
fof(f5880,plain,
( ~ sQ2_spl
| sQ138_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f5866,f783,f786,f84]) ).
fof(f5882,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ67_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1075,f85]) ).
fof(f5883,definition,
! [X0] :
( sQ414_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ414_spl])],[split_symbol_definition]) ).
fof(f5884,plain,
! [X0] :
( ~ sQ414_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f5883]) ).
fof(f5886,plain,
( ~ sQ2_spl
| ~ sQ67_spl
| sQ220_spl
| sQ414_spl ),
inference(split_clause,[status(thm)],[f5882,f5883,f1718,f302,f84]) ).
fof(f5887,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ67_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1074,f85]) ).
fof(f5888,plain,
( ~ sQ2_spl
| ~ sQ67_spl
| sQ195_spl
| sQ414_spl ),
inference(split_clause,[status(thm)],[f5887,f5883,f1429,f302,f84]) ).
fof(f5889,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f530]) ).
fof(f5890,plain,
( ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f529]) ).
fof(f5891,plain,
( ~ sQ46_spl
| ~ sQ21_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f146,f719]) ).
fof(f5892,plain,
( ~ sQ21_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f528]) ).
fof(f5899,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ21_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f146,f723]) ).
fof(f5901,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ21_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f146,f878]) ).
fof(f5902,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ21_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f146,f877]) ).
fof(f5910,plain,
( ~ sQ46_spl
| ~ sQ21_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f5891,f1450,f145,f230]) ).
fof(f5917,plain,
( ~ sQ46_spl
| ~ sQ21_spl
| sQ199_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f5899,f807,f1450,f145,f230]) ).
fof(f5919,plain,
( ~ sQ36_spl
| ~ sQ21_spl
| sQ199_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f5901,f796,f1450,f145,f198]) ).
fof(f5920,plain,
( ~ sQ36_spl
| ~ sQ21_spl
| sQ228_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f5902,f796,f1809,f145,f198]) ).
fof(f5923,plain,
( ~ sQ159_spl
| ~ sQ124_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f1791,f472,f494,f1093]) ).
fof(f5924,plain,
( ~ sQ276_spl
| ~ sQ20_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f2638,f90,f142,f2323]) ).
fof(f5925,plain,
( ~ sQ335_spl
| ~ sQ18_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f4067,f116,f135,f3519]) ).
fof(f5926,plain,
( ~ sQ212_spl
| ~ sQ46_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f3307,f220,f230,f1666]) ).
fof(f5927,plain,
( ~ sQ27_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f170,f986]) ).
fof(f5928,plain,
( ~ sQ27_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f170,f985]) ).
fof(f5929,plain,
( ~ sQ273_spl
| ~ sQ27_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f170,f2296]) ).
fof(f5930,plain,
( ~ sQ355_spl
| ~ sQ27_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f170,f3937]) ).
fof(f5931,plain,
( ~ sQ27_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f170,f984]) ).
fof(f5932,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ27_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f170,f1576]) ).
fof(f5933,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ27_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f170,f1575]) ).
fof(f5934,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ27_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f170,f2143]) ).
fof(f5935,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ27_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f170,f2142]) ).
fof(f5936,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ27_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f170,f620]) ).
fof(f5937,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ27_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f170,f619]) ).
fof(f5945,plain,
( ~ sQ87_spl
| ~ sQ27_spl
| sQ156_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f5932,f4441,f1015,f169,f371]) ).
fof(f5946,plain,
( ~ sQ87_spl
| ~ sQ27_spl
| sQ220_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f5933,f4441,f1718,f169,f371]) ).
fof(f5947,plain,
( ~ sQ102_spl
| ~ sQ27_spl
| sQ154_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f5934,f3906,f1005,f169,f424]) ).
fof(f5948,plain,
( ~ sQ102_spl
| ~ sQ27_spl
| sQ138_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f5935,f3906,f786,f169,f424]) ).
fof(f5949,plain,
( ~ sQ12_spl
| ~ sQ27_spl
| sQ140_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f5936,f3403,f799,f169,f116]) ).
fof(f5950,plain,
( ~ sQ12_spl
| ~ sQ27_spl
| sQ220_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f5937,f3403,f1718,f169,f116]) ).
fof(f5953,plain,
( ~ sQ350_spl
| ~ sQ61_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f284,f3850]) ).
fof(f5954,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f284,f1231]) ).
fof(f5956,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f284,f63]) ).
fof(f5957,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f284,f61]) ).
fof(f5958,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f284,f59]) ).
fof(f5961,plain,
( ~ sQ61_spl
| sQ130_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f5954,f1192,f643,f283]) ).
fof(f5963,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ21_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f531,f284]) ).
fof(f5964,plain,
( ~ sQ61_spl
| ~ sQ21_spl
| sQ144_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f5963,f1269,f820,f145,f283]) ).
fof(f5965,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ21_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f532,f284]) ).
fof(f5966,plain,
( ~ sQ61_spl
| ~ sQ21_spl
| sQ158_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f5965,f1269,f1043,f145,f283]) ).
fof(f5967,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ76_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1743,f284]) ).
fof(f5968,definition,
! [X0] :
( sQ415_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ415_spl])],[split_symbol_definition]) ).
fof(f5969,plain,
! [X0] :
( ~ sQ415_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f5968]) ).
fof(f5971,plain,
( ~ sQ61_spl
| ~ sQ76_spl
| sQ158_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f5967,f5968,f1043,f336,f283]) ).
fof(f5972,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ76_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1744,f284]) ).
fof(f5973,plain,
( ~ sQ61_spl
| ~ sQ76_spl
| sQ177_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f5972,f5968,f1208,f336,f283]) ).
fof(f5974,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ41_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f745,f284]) ).
fof(f5975,plain,
( ~ sQ61_spl
| ~ sQ41_spl
| sQ163_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f5974,f3519,f1115,f214,f283]) ).
fof(f5976,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ41_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f744,f284]) ).
fof(f5977,plain,
( ~ sQ61_spl
| ~ sQ41_spl
| sQ177_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f5976,f3519,f1208,f214,f283]) ).
fof(f5978,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ106_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2107,f284]) ).
fof(f5979,definition,
! [X0] :
( sQ416_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ416_spl])],[split_symbol_definition]) ).
fof(f5980,plain,
! [X0] :
( ~ sQ416_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f5979]) ).
fof(f5982,plain,
( ~ sQ61_spl
| ~ sQ106_spl
| sQ144_spl
| sQ416_spl ),
inference(split_clause,[status(thm)],[f5978,f5979,f820,f437,f283]) ).
fof(f5983,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ101_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2147,f284]) ).
fof(f5984,plain,
( ~ sQ61_spl
| ~ sQ101_spl
| sQ158_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f5983,f3670,f1043,f421,f283]) ).
fof(f5985,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ101_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2148,f284]) ).
fof(f5986,plain,
( ~ sQ61_spl
| ~ sQ101_spl
| sQ144_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f5985,f3670,f820,f421,f283]) ).
fof(f5987,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ116_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1907,f284]) ).
fof(f5988,definition,
! [X0] :
( sQ417_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ417_spl])],[split_symbol_definition]) ).
fof(f5989,plain,
! [X0] :
( ~ sQ417_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f5988]) ).
fof(f5991,plain,
( ~ sQ61_spl
| ~ sQ116_spl
| sQ177_spl
| sQ417_spl ),
inference(split_clause,[status(thm)],[f5987,f5988,f1208,f469,f283]) ).
fof(f5992,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ116_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1908,f284]) ).
fof(f5993,plain,
( ~ sQ61_spl
| ~ sQ116_spl
| sQ144_spl
| sQ417_spl ),
inference(split_clause,[status(thm)],[f5992,f5988,f820,f469,f283]) ).
fof(f5994,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ56_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1318,f284]) ).
fof(f5995,plain,
( ~ sQ61_spl
| ~ sQ56_spl
| sQ130_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f5994,f1416,f643,f267,f283]) ).
fof(f5996,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ56_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1317,f284]) ).
fof(f5997,plain,
( ~ sQ61_spl
| ~ sQ56_spl
| sQ163_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f5996,f1416,f1115,f267,f283]) ).
fof(f5998,plain,
( ~ sQ61_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1227,f284]) ).
fof(f5999,plain,
( ~ sQ61_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1228,f284]) ).
fof(f6000,plain,
( ~ sQ61_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1229,f284]) ).
fof(f6001,plain,
( ~ sQ95_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f398,f1472]) ).
fof(f6002,plain,
( ~ sQ95_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f398,f1471]) ).
fof(f6003,plain,
( ~ sQ95_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f398,f1470]) ).
fof(f6004,plain,
( ~ sQ276_spl
| ~ sQ95_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f398,f2324]) ).
fof(f6005,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ95_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f398,f2116]) ).
fof(f6006,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ95_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f398,f2117]) ).
fof(f6011,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f398,f1474]) ).
fof(f6012,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f398,f1473]) ).
fof(f6018,plain,
( ~ sQ105_spl
| ~ sQ95_spl
| sQ136_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f6005,f2180,f771,f397,f434]) ).
fof(f6019,plain,
( ~ sQ105_spl
| ~ sQ95_spl
| sQ146_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f6006,f2180,f827,f397,f434]) ).
fof(f6024,plain,
( ~ sQ95_spl
| sQ128_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f6011,f4350,f553,f397]) ).
fof(f6025,plain,
( ~ sQ95_spl
| sQ126_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f6012,f4350,f507,f397]) ).
fof(f6026,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f530]) ).
fof(f6027,plain,
( ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f529]) ).
fof(f6028,plain,
( ~ sQ21_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f528]) ).
fof(f6064,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f1024]) ).
fof(f6065,plain,
( ~ sQ25_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f164,f1023]) ).
fof(f6066,plain,
( ~ sQ25_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1022]) ).
fof(f6088,plain,
( ~ sQ10_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f111,f634]) ).
fof(f6089,plain,
( ~ sQ10_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f111,f633]) ).
fof(f6090,plain,
( ~ sQ10_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f111,f632]) ).
fof(f6092,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ10_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f111,f2116]) ).
fof(f6093,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ10_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f111,f2117]) ).
fof(f6096,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f111,f1026]) ).
fof(f6097,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f111,f1025]) ).
fof(f6098,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ10_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f111,f1474]) ).
fof(f6099,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ10_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f111,f1473]) ).
fof(f6105,plain,
( ~ sQ105_spl
| ~ sQ10_spl
| sQ163_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f6092,f4812,f1115,f110,f434]) ).
fof(f6106,plain,
( ~ sQ105_spl
| ~ sQ10_spl
| sQ188_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f6093,f4812,f1394,f110,f434]) ).
fof(f6109,plain,
( ~ sQ25_spl
| ~ sQ10_spl
| sQ199_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f6096,f3403,f1450,f110,f163]) ).
fof(f6110,plain,
( ~ sQ25_spl
| ~ sQ10_spl
| sQ158_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f6097,f3403,f1043,f110,f163]) ).
fof(f6111,plain,
( ~ sQ95_spl
| ~ sQ10_spl
| sQ195_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f6098,f2194,f1429,f110,f397]) ).
fof(f6112,plain,
( ~ sQ95_spl
| ~ sQ10_spl
| sQ144_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f6099,f2194,f820,f110,f397]) ).
fof(f6113,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f667]) ).
fof(f6114,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f666]) ).
fof(f6115,plain,
( ~ sQ8_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f104,f665]) ).
fof(f6125,plain,
( ~ sQ76_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f337,f1742]) ).
fof(f6126,plain,
( ~ sQ76_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f337,f1741]) ).
fof(f6127,plain,
( ~ sQ101_spl
| ~ sQ76_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f337,f2144]) ).
fof(f6128,plain,
( ~ sQ76_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f337,f1740]) ).
fof(f6131,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ76_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f337,f1908]) ).
fof(f6132,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ76_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f337,f1907]) ).
fof(f6133,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ76_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f337,f2148]) ).
fof(f6134,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ76_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f337,f2147]) ).
fof(f6146,plain,
( ~ sQ101_spl
| ~ sQ76_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f6127,f827,f336,f421]) ).
fof(f6149,plain,
( ~ sQ116_spl
| ~ sQ76_spl
| sQ146_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f6131,f1928,f827,f336,f469]) ).
fof(f6150,plain,
( ~ sQ116_spl
| ~ sQ76_spl
| sQ195_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f6132,f1928,f1429,f336,f469]) ).
fof(f6151,plain,
( ~ sQ101_spl
| ~ sQ76_spl
| sQ146_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f6133,f5404,f827,f336,f421]) ).
fof(f6152,plain,
( ~ sQ101_spl
| ~ sQ76_spl
| sQ138_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f6134,f5404,f786,f336,f421]) ).
fof(f6159,plain,
( ~ sQ74_spl
| ~ sQ139_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f1087,f289,f796,f324]) ).
fof(f6160,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f85,f2241]) ).
fof(f6161,plain,
( ~ sQ2_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f85,f2240]) ).
fof(f6162,plain,
( ~ sQ2_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f85,f2239]) ).
fof(f6163,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ2_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f85,f1516]) ).
fof(f6176,plain,
( ~ sQ92_spl
| ~ sQ2_spl
| sQ195_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f6163,f4542,f1429,f84,f387]) ).
fof(f6184,plain,
( ~ sQ95_spl
| ~ sQ231_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f1825,f398]) ).
fof(f6185,plain,
( ~ sQ21_spl
| ~ sQ213_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f1672,f146]) ).
fof(f6194,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ102_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2142,f85]) ).
fof(f6195,plain,
( ~ sQ2_spl
| ~ sQ102_spl
| sQ138_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f6194,f3655,f786,f424,f84]) ).
fof(f6200,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ20_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f541,f398]) ).
fof(f6201,plain,
( ~ sQ95_spl
| ~ sQ20_spl
| sQ167_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f6200,f2468,f1137,f142,f397]) ).
fof(f6202,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ20_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f540,f398]) ).
fof(f6203,plain,
( ~ sQ95_spl
| ~ sQ20_spl
| sQ126_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f6202,f2468,f507,f142,f397]) ).
fof(f6204,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ75_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1782,f398]) ).
fof(f6205,plain,
( ~ sQ95_spl
| ~ sQ75_spl
| sQ128_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f6204,f1745,f553,f333,f397]) ).
fof(f6206,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ75_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1781,f398]) ).
fof(f6207,plain,
( ~ sQ95_spl
| ~ sQ75_spl
| sQ169_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f6206,f1745,f1144,f333,f397]) ).
fof(f6208,plain,
( ~ sQ82_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f356,f1610]) ).
fof(f6209,plain,
( ~ sQ82_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f356,f1609]) ).
fof(f6210,plain,
( ~ sQ82_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f356,f1608]) ).
fof(f6211,plain,
( ~ sQ375_spl
| ~ sQ82_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f356,f4458]) ).
fof(f6212,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ82_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f356,f1516]) ).
fof(f6213,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ82_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f356,f1517]) ).
fof(f6214,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ82_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f356,f2022]) ).
fof(f6215,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ82_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f356,f2021]) ).
fof(f6216,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ82_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f356,f988]) ).
fof(f6217,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ82_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f356,f987]) ).
fof(f6218,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f356,f1611]) ).
fof(f6219,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f356,f1612]) ).
fof(f6225,definition,
! [X0] :
( sQ418_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ418_spl])],[split_symbol_definition]) ).
fof(f6226,plain,
! [X0] :
( ~ sQ418_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f6225]) ).
fof(f6228,plain,
( ~ sQ92_spl
| ~ sQ82_spl
| sQ156_spl
| sQ418_spl ),
inference(split_clause,[status(thm)],[f6212,f6225,f1015,f355,f387]) ).
fof(f6229,plain,
( ~ sQ92_spl
| ~ sQ82_spl
| sQ128_spl
| sQ418_spl ),
inference(split_clause,[status(thm)],[f6213,f6225,f553,f355,f387]) ).
fof(f6230,plain,
( ~ sQ112_spl
| ~ sQ82_spl
| sQ146_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f6214,f2073,f827,f355,f456]) ).
fof(f6231,plain,
( ~ sQ112_spl
| ~ sQ82_spl
| sQ288_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f6215,f2073,f2546,f355,f456]) ).
fof(f6232,plain,
( ~ sQ27_spl
| ~ sQ82_spl
| sQ134_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f6216,f3931,f764,f355,f169]) ).
fof(f6233,plain,
( ~ sQ27_spl
| ~ sQ82_spl
| sQ140_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f6217,f3931,f799,f355,f169]) ).
fof(f6234,plain,
( ~ sQ82_spl
| sQ132_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f6218,f1689,f657,f355]) ).
fof(f6235,plain,
( ~ sQ82_spl
| sQ128_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f6219,f1689,f553,f355]) ).
fof(f6236,plain,
( ~ sQ106_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f438,f2105]) ).
fof(f6237,plain,
( ~ sQ106_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f438,f2104]) ).
fof(f6239,plain,
( ~ sQ336_spl
| ~ sQ106_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f438,f3561]) ).
fof(f6240,plain,
( ~ sQ351_spl
| ~ sQ106_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f438,f3893]) ).
fof(f6241,plain,
( ~ sQ314_spl
| ~ sQ106_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f438,f3198]) ).
fof(f6242,plain,
( ~ sQ348_spl
| ~ sQ106_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f438,f3810]) ).
fof(f6243,plain,
( ~ sQ106_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f438,f2103]) ).
fof(f6244,plain,
( ~ sQ354_spl
| ~ sQ106_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f438,f3932]) ).
fof(f6245,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ106_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f438,f1908]) ).
fof(f6247,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ106_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f438,f1317]) ).
fof(f6248,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ106_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f438,f1318]) ).
fof(f6249,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ106_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f438,f1584]) ).
fof(f6250,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ106_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f438,f1585]) ).
fof(f6252,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ106_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f438,f1382]) ).
fof(f6253,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ106_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f438,f627]) ).
fof(f6254,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ106_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f438,f628]) ).
fof(f6255,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ106_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f438,f723]) ).
fof(f6256,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ106_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f438,f722]) ).
fof(f6257,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ106_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f438,f2293]) ).
fof(f6258,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ106_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f438,f2292]) ).
fof(f6259,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f438,f2107]) ).
fof(f6260,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f438,f2106]) ).
fof(f6266,definition,
! [X0] :
( sQ419_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ419_spl])],[split_symbol_definition]) ).
fof(f6267,plain,
! [X0] :
( ~ sQ419_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f6266]) ).
fof(f6269,plain,
( ~ sQ116_spl
| ~ sQ106_spl
| sQ126_spl
| sQ419_spl ),
inference(split_clause,[status(thm)],[f6245,f6266,f507,f437,f469]) ).
fof(f6271,plain,
( ~ sQ56_spl
| ~ sQ106_spl
| sQ132_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f6247,f4004,f657,f437,f267]) ).
fof(f6272,plain,
( ~ sQ56_spl
| ~ sQ106_spl
| sQ228_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f6248,f4004,f1809,f437,f267]) ).
fof(f6273,plain,
( ~ sQ86_spl
| ~ sQ106_spl
| sQ288_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f6249,f3999,f2546,f437,f368]) ).
fof(f6274,plain,
( ~ sQ86_spl
| ~ sQ106_spl
| sQ149_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f6250,f3999,f846,f437,f368]) ).
fof(f6276,plain,
( ~ sQ96_spl
| ~ sQ106_spl
| sQ154_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f6252,f2180,f1005,f437,f400]) ).
fof(f6277,plain,
( ~ sQ11_spl
| ~ sQ106_spl
| sQ288_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f6253,f4812,f2546,f437,f113]) ).
fof(f6278,plain,
( ~ sQ11_spl
| ~ sQ106_spl
| sQ169_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f6254,f4812,f1144,f437,f113]) ).
fof(f6279,plain,
( ~ sQ46_spl
| ~ sQ106_spl
| sQ136_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f6255,f4021,f771,f437,f230]) ).
fof(f6280,plain,
( ~ sQ46_spl
| ~ sQ106_spl
| sQ154_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f6256,f4021,f1005,f437,f230]) ).
fof(f6281,plain,
( ~ sQ1_spl
| ~ sQ106_spl
| sQ169_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f6257,f2244,f1144,f437,f81]) ).
fof(f6282,plain,
( ~ sQ1_spl
| ~ sQ106_spl
| sQ140_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f6258,f2244,f799,f437,f81]) ).
fof(f6283,plain,
( ~ sQ106_spl
| sQ126_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f6259,f4026,f507,f437]) ).
fof(f6284,plain,
( ~ sQ106_spl
| sQ132_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f6260,f4026,f657,f437]) ).
fof(f6285,plain,
( ~ sQ27_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f170,f986]) ).
fof(f6286,plain,
( ~ sQ27_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f170,f985]) ).
fof(f6287,plain,
( ~ sQ27_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f170,f984]) ).
fof(f6301,plain,
( ~ sQ19_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f139,f546]) ).
fof(f6302,plain,
( ~ sQ19_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f139,f545]) ).
fof(f6303,plain,
( ~ sQ19_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f139,f544]) ).
fof(f6314,plain,
( ~ sQ19_spl
| ~ sQ155_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f1013,f139]) ).
fof(f6316,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ12_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f619,f356]) ).
fof(f6318,plain,
( ~ sQ82_spl
| ~ sQ12_spl
| sQ288_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f6316,f4674,f2546,f116,f355]) ).
fof(f6320,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ12_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f620,f356]) ).
fof(f6322,plain,
( ~ sQ82_spl
| ~ sQ12_spl
| sQ167_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f6320,f4674,f1137,f116,f355]) ).
fof(f6323,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ34_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f909,f139]) ).
fof(f6324,plain,
( ~ sQ19_spl
| ~ sQ34_spl
| sQ199_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f6323,f1012,f1450,f191,f138]) ).
fof(f6325,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ34_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f908,f139]) ).
fof(f6326,plain,
( ~ sQ19_spl
| ~ sQ34_spl
| sQ134_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f6325,f1012,f764,f191,f138]) ).
fof(f6328,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ102_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2142,f356]) ).
fof(f6330,plain,
( ~ sQ82_spl
| ~ sQ102_spl
| sQ140_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f6328,f3892,f799,f424,f355]) ).
fof(f6332,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ67_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1075,f356]) ).
fof(f6334,definition,
! [X0] :
( sQ420_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f6335,plain,
! [X0] :
( ~ sQ420_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f6334]) ).
fof(f6337,plain,
( ~ sQ82_spl
| ~ sQ67_spl
| sQ203_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f6332,f6334,f1521,f302,f355]) ).
fof(f6339,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ67_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1074,f356]) ).
fof(f6341,plain,
( ~ sQ82_spl
| ~ sQ67_spl
| sQ156_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f6339,f6334,f1015,f302,f355]) ).
fof(f6342,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ122_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1845,f170]) ).
fof(f6343,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ122_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1845,f356]) ).
fof(f6344,plain,
( ~ sQ27_spl
| ~ sQ122_spl
| sQ188_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f6342,f1824,f1394,f488,f169]) ).
fof(f6345,definition,
! [X0] :
( sQ421_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition]) ).
fof(f6346,plain,
! [X0] :
( ~ sQ421_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f6345]) ).
fof(f6348,plain,
( ~ sQ82_spl
| ~ sQ122_spl
| sQ154_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f6343,f6345,f1005,f488,f355]) ).
fof(f6349,plain,
( ~ sQ96_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f401,f1381]) ).
fof(f6350,plain,
( ~ sQ86_spl
| ~ sQ96_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f401,f1582]) ).
fof(f6351,plain,
( ~ sQ96_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f401,f1380]) ).
fof(f6352,plain,
( ~ sQ121_spl
| ~ sQ96_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f401,f1853]) ).
fof(f6353,plain,
( ~ sQ96_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f401,f1379]) ).
fof(f6354,plain,
( ~ sQ256_spl
| ~ sQ96_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f401,f2177]) ).
fof(f6355,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ96_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f401,f1857]) ).
fof(f6356,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ96_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f401,f1856]) ).
fof(f6357,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ96_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f401,f2148]) ).
fof(f6358,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ96_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f401,f2147]) ).
fof(f6359,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ96_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f401,f1347]) ).
fof(f6360,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ96_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f401,f1348]) ).
fof(f6361,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ96_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f401,f689]) ).
fof(f6362,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ96_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f401,f688]) ).
fof(f6363,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ96_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f401,f1317]) ).
fof(f6364,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ96_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f401,f1318]) ).
fof(f6365,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ96_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f401,f1584]) ).
fof(f6366,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ96_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f401,f1585]) ).
fof(f6367,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f401,f1383]) ).
fof(f6368,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f401,f1382]) ).
fof(f6374,plain,
( ~ sQ86_spl
| ~ sQ96_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f6350,f1809,f400,f368]) ).
fof(f6375,plain,
( ~ sQ121_spl
| ~ sQ96_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f6352,f827,f400,f485]) ).
fof(f6376,plain,
( ~ sQ121_spl
| ~ sQ96_spl
| sQ146_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f6355,f5699,f827,f400,f485]) ).
fof(f6377,plain,
( ~ sQ121_spl
| ~ sQ96_spl
| sQ126_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f6356,f5699,f507,f400,f485]) ).
fof(f6378,plain,
( ~ sQ101_spl
| ~ sQ96_spl
| sQ146_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f6357,f2176,f827,f400,f421]) ).
fof(f6379,plain,
( ~ sQ101_spl
| ~ sQ96_spl
| sQ169_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f6358,f2176,f1144,f400,f421]) ).
fof(f6380,plain,
( ~ sQ51_spl
| ~ sQ96_spl
| sQ169_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f6359,f5704,f1144,f400,f251]) ).
fof(f6381,plain,
( ~ sQ51_spl
| ~ sQ96_spl
| sQ203_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f6360,f5704,f1521,f400,f251]) ).
fof(f6382,plain,
( ~ sQ6_spl
| ~ sQ96_spl
| sQ167_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f6361,f2778,f1137,f400,f97]) ).
fof(f6383,plain,
( ~ sQ6_spl
| ~ sQ96_spl
| sQ136_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f6362,f2778,f771,f400,f97]) ).
fof(f6384,plain,
( ~ sQ56_spl
| ~ sQ96_spl
| sQ136_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f6363,f2189,f771,f400,f267]) ).
fof(f6385,plain,
( ~ sQ56_spl
| ~ sQ96_spl
| sQ203_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f6364,f2189,f1521,f400,f267]) ).
fof(f6386,plain,
( ~ sQ86_spl
| ~ sQ96_spl
| sQ228_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f6365,f3445,f1809,f400,f368]) ).
fof(f6387,plain,
( ~ sQ86_spl
| ~ sQ96_spl
| sQ128_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f6366,f3445,f553,f400,f368]) ).
fof(f6388,plain,
( ~ sQ96_spl
| sQ128_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f6367,f4350,f553,f400]) ).
fof(f6389,plain,
( ~ sQ96_spl
| sQ126_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f6368,f4350,f507,f400]) ).
fof(f6390,plain,
( ~ sQ95_spl
| ~ sQ231_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f6184,f342,f1824,f397]) ).
fof(f6391,plain,
( ~ sQ348_spl
| ~ sQ106_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f6242,f421,f437,f3809]) ).
fof(f6392,plain,
( ~ sQ308_spl
| ~ sQ64_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f3951,f273,f292,f2989]) ).
fof(f6393,plain,
( ~ sQ90_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f382,f1536]) ).
fof(f6394,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f382,f1535]) ).
fof(f6395,plain,
( ~ sQ115_spl
| ~ sQ90_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f382,f1914]) ).
fof(f6396,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f382,f1534]) ).
fof(f6397,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ90_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f382,f1918]) ).
fof(f6398,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ90_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f382,f1917]) ).
fof(f6406,plain,
( ~ sQ115_spl
| ~ sQ90_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f6395,f827,f381,f466]) ).
fof(f6407,definition,
! [X0] :
( sQ422_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition]) ).
fof(f6408,plain,
! [X0] :
( ~ sQ422_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f6407]) ).
fof(f6410,plain,
( ~ sQ115_spl
| ~ sQ90_spl
| sQ146_spl
| sQ422_spl ),
inference(split_clause,[status(thm)],[f6397,f6407,f827,f381,f466]) ).
fof(f6411,plain,
( ~ sQ115_spl
| ~ sQ90_spl
| sQ128_spl
| sQ422_spl ),
inference(split_clause,[status(thm)],[f6398,f6407,f553,f381,f466]) ).
fof(f6414,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f755]) ).
fof(f6415,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f754]) ).
fof(f6416,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f753]) ).
fof(f6417,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ38_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f205,f1286]) ).
fof(f6418,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ38_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f205,f1287]) ).
fof(f6419,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ38_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f205,f2092]) ).
fof(f6420,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ38_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f205,f2093]) ).
fof(f6421,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ38_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f205,f1371]) ).
fof(f6422,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ38_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f205,f1370]) ).
fof(f6423,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ38_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f205,f564]) ).
fof(f6424,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ38_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f205,f563]) ).
fof(f6425,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ38_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f205,f1703]) ).
fof(f6426,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ38_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f205,f1704]) ).
fof(f6434,plain,
( ~ sQ58_spl
| ~ sQ38_spl
| sQ163_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f6417,f3280,f1115,f204,f273]) ).
fof(f6435,plain,
( ~ sQ58_spl
| ~ sQ38_spl
| sQ288_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f6418,f3280,f2546,f204,f273]) ).
fof(f6436,plain,
( ~ sQ108_spl
| ~ sQ38_spl
| sQ163_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f6419,f3285,f1115,f204,f443]) ).
fof(f6437,plain,
( ~ sQ108_spl
| ~ sQ38_spl
| sQ154_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f6420,f3285,f1005,f204,f443]) ).
fof(f6438,plain,
( ~ sQ98_spl
| ~ sQ38_spl
| sQ156_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f6421,f2494,f1015,f204,f406]) ).
fof(f6439,plain,
( ~ sQ98_spl
| ~ sQ38_spl
| sQ144_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f6422,f2494,f820,f204,f406]) ).
fof(f6440,plain,
( ~ sQ18_spl
| ~ sQ38_spl
| sQ140_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f6423,f1676,f799,f204,f135]) ).
fof(f6441,plain,
( ~ sQ18_spl
| ~ sQ38_spl
| sQ177_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f6424,f1676,f1208,f204,f135]) ).
fof(f6442,plain,
( ~ sQ78_spl
| ~ sQ38_spl
| sQ158_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f6425,f1750,f1043,f204,f342]) ).
fof(f6443,plain,
( ~ sQ78_spl
| ~ sQ38_spl
| sQ156_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f6426,f1750,f1015,f204,f342]) ).
fof(f6446,plain,
( ~ sQ344_spl
| ~ sQ12_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f4826,f78,f116,f3670]) ).
fof(f6447,plain,
( ~ sQ38_spl
| ~ sQ222_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f5052,f166,f1750,f204]) ).
fof(f6448,plain,
( ~ sQ78_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f343,f1702]) ).
fof(f6449,plain,
( ~ sQ98_spl
| ~ sQ78_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f343,f1368]) ).
fof(f6450,plain,
( ~ sQ78_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f343,f1701]) ).
fof(f6451,plain,
( ~ sQ78_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f343,f1700]) ).
fof(f6452,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ78_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f343,f2092]) ).
fof(f6453,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ78_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f343,f2093]) ).
fof(f6454,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ78_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f343,f1286]) ).
fof(f6455,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ78_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f343,f1287]) ).
fof(f6456,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ78_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f343,f564]) ).
fof(f6457,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ78_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f343,f563]) ).
fof(f6458,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ78_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f343,f1371]) ).
fof(f6459,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ78_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f343,f1370]) ).
fof(f6460,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f343,f1703]) ).
fof(f6461,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f343,f1704]) ).
fof(f6467,plain,
( ~ sQ98_spl
| ~ sQ78_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f6449,f1394,f342,f406]) ).
fof(f6468,plain,
( ~ sQ108_spl
| ~ sQ78_spl
| sQ199_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f6452,f4603,f1450,f342,f443]) ).
fof(f6469,plain,
( ~ sQ108_spl
| ~ sQ78_spl
| sQ146_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f6453,f4603,f827,f342,f443]) ).
fof(f6470,plain,
( ~ sQ58_spl
| ~ sQ78_spl
| sQ199_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f6454,f1760,f1450,f342,f273]) ).
fof(f6471,plain,
( ~ sQ58_spl
| ~ sQ78_spl
| sQ203_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f6455,f1760,f1521,f342,f273]) ).
fof(f6472,plain,
( ~ sQ18_spl
| ~ sQ78_spl
| sQ167_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f6456,f1637,f1137,f342,f135]) ).
fof(f6473,plain,
( ~ sQ18_spl
| ~ sQ78_spl
| sQ195_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f6457,f1637,f1429,f342,f135]) ).
fof(f6474,plain,
( ~ sQ98_spl
| ~ sQ78_spl
| sQ128_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f6458,f1745,f553,f342,f406]) ).
fof(f6475,plain,
( ~ sQ98_spl
| ~ sQ78_spl
| sQ188_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f6459,f1745,f1394,f342,f406]) ).
fof(f6476,plain,
( ~ sQ78_spl
| sQ138_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f6460,f1936,f786,f342]) ).
fof(f6477,plain,
( ~ sQ78_spl
| sQ128_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f6461,f1936,f553,f342]) ).
fof(f6478,plain,
( ~ sQ375_spl
| ~ sQ82_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f6211,f342,f355,f4457]) ).
fof(f6479,plain,
( ~ sQ311_spl
| ~ sQ18_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f4065,f119,f135,f3092]) ).
fof(f6480,plain,
( ~ sQ115_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f467,f1916]) ).
fof(f6481,plain,
( ~ sQ115_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f467,f1915]) ).
fof(f6482,plain,
( ~ sQ317_spl
| ~ sQ115_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f467,f3220]) ).
fof(f6483,plain,
( ~ sQ115_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f467,f1914]) ).
fof(f6484,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ115_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f467,f1594]) ).
fof(f6485,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ115_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f467,f1595]) ).
fof(f6486,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ115_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f467,f1260]) ).
fof(f6487,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ115_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f467,f1261]) ).
fof(f6488,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f467,f1918]) ).
fof(f6489,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f467,f1917]) ).
fof(f6495,definition,
! [X0] :
( sQ423_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ423_spl])],[split_symbol_definition]) ).
fof(f6496,plain,
! [X0] :
( ~ sQ423_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f6495]) ).
fof(f6498,plain,
( ~ sQ85_spl
| ~ sQ115_spl
| sQ203_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f6484,f6495,f1521,f466,f365]) ).
fof(f6499,plain,
( ~ sQ85_spl
| ~ sQ115_spl
| sQ149_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f6485,f6495,f846,f466,f365]) ).
fof(f6500,plain,
( ~ sQ60_spl
| ~ sQ115_spl
| sQ203_spl
| sQ417_spl ),
inference(split_clause,[status(thm)],[f6486,f5988,f1521,f466,f280]) ).
fof(f6501,plain,
( ~ sQ60_spl
| ~ sQ115_spl
| sQ228_spl
| sQ417_spl ),
inference(split_clause,[status(thm)],[f6487,f5988,f1809,f466,f280]) ).
fof(f6502,plain,
( ~ sQ115_spl
| sQ126_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f6488,f1964,f507,f466]) ).
fof(f6503,plain,
( ~ sQ115_spl
| sQ128_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f6489,f1964,f553,f466]) ).
fof(f6504,plain,
( ~ sQ78_spl
| ~ sQ374_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f4451,f343]) ).
fof(f6505,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ38_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f756,f343]) ).
fof(f6506,plain,
( ~ sQ78_spl
| ~ sQ38_spl
| sQ220_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f6505,f1750,f1718,f204,f342]) ).
fof(f6507,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ38_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f757,f343]) ).
fof(f6508,plain,
( ~ sQ78_spl
| ~ sQ38_spl
| sQ134_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f6507,f1750,f764,f204,f342]) ).
fof(f6513,plain,
( ~ sQ102_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f425,f2141]) ).
fof(f6514,plain,
( ~ sQ102_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f425,f2140]) ).
fof(f6515,plain,
( ~ sQ27_spl
| ~ sQ102_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f425,f984]) ).
fof(f6516,plain,
( ~ sQ273_spl
| ~ sQ102_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f425,f2296]) ).
fof(f6517,plain,
( ~ sQ355_spl
| ~ sQ102_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f425,f3937]) ).
fof(f6518,plain,
( ~ sQ102_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f425,f2139]) ).
fof(f6519,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ102_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f425,f1611]) ).
fof(f6520,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ102_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f425,f1612]) ).
fof(f6521,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ102_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f425,f988]) ).
fof(f6530,plain,
( ~ sQ27_spl
| ~ sQ102_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f6515,f771,f424,f169]) ).
fof(f6531,plain,
( ~ sQ82_spl
| ~ sQ102_spl
| sQ199_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f6519,f3892,f1450,f424,f355]) ).
fof(f6532,plain,
( ~ sQ82_spl
| ~ sQ102_spl
| sQ149_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f6520,f3892,f846,f424,f355]) ).
fof(f6533,plain,
( ~ sQ27_spl
| ~ sQ102_spl
| sQ136_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f6521,f3906,f771,f424,f169]) ).
fof(f6537,plain,
( ~ sQ60_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f281,f1259]) ).
fof(f6538,plain,
( ~ sQ60_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f281,f1258]) ).
fof(f6539,plain,
( ~ sQ249_spl
| ~ sQ60_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f281,f2064]) ).
fof(f6540,plain,
( ~ sQ60_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f281,f1257]) ).
fof(f6541,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f281,f1260]) ).
fof(f6548,plain,
( ~ sQ60_spl
| sQ130_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f6541,f1192,f643,f280]) ).
fof(f6550,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f136,f562]) ).
fof(f6551,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f136,f561]) ).
fof(f6553,plain,
( ~ sQ18_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f560]) ).
fof(f6554,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ18_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f136,f611]) ).
fof(f6555,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ18_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f136,f612]) ).
fof(f6563,plain,
( ~ sQ13_spl
| ~ sQ18_spl
| sQ203_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f6554,f3398,f1521,f135,f119]) ).
fof(f6564,plain,
( ~ sQ13_spl
| ~ sQ18_spl
| sQ138_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f6555,f3398,f786,f135,f119]) ).
fof(f6576,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ5_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f699,f281]) ).
fof(f6577,plain,
( ~ sQ60_spl
| ~ sQ5_spl
| sQ158_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f6576,f3212,f1043,f94,f280]) ).
fof(f6578,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ5_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f698,f281]) ).
fof(f6579,plain,
( ~ sQ60_spl
| ~ sQ5_spl
| sQ163_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f6578,f3212,f1115,f94,f280]) ).
fof(f6580,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ75_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1782,f281]) ).
fof(f6581,plain,
( ~ sQ60_spl
| ~ sQ75_spl
| sQ177_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f6580,f5968,f1208,f333,f280]) ).
fof(f6582,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ75_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1781,f281]) ).
fof(f6583,plain,
( ~ sQ60_spl
| ~ sQ75_spl
| sQ158_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f6582,f5968,f1043,f333,f280]) ).
fof(f6584,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ35_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f896,f281]) ).
fof(f6585,plain,
( ~ sQ60_spl
| ~ sQ35_spl
| sQ130_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f6584,f5751,f643,f195,f280]) ).
fof(f6586,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ35_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f897,f281]) ).
fof(f6587,plain,
( ~ sQ60_spl
| ~ sQ35_spl
| sQ163_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f6586,f5751,f1115,f195,f280]) ).
fof(f6588,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ58_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1287,f136]) ).
fof(f6589,plain,
( ~ sQ18_spl
| ~ sQ58_spl
| sQ220_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f6588,f1406,f1718,f273,f135]) ).
fof(f6590,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ90_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1538,f281]) ).
fof(f6591,plain,
( ~ sQ60_spl
| ~ sQ90_spl
| sQ177_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f6590,f3965,f1208,f381,f280]) ).
fof(f6594,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ110_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2061,f281]) ).
fof(f6595,plain,
( ~ sQ60_spl
| ~ sQ110_spl
| sQ130_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f6594,f1999,f643,f450,f280]) ).
fof(f6596,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ110_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2062,f281]) ).
fof(f6597,plain,
( ~ sQ60_spl
| ~ sQ110_spl
| sQ144_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f6596,f1999,f820,f450,f280]) ).
fof(f6598,plain,
( ~ sQ323_spl
| ~ sQ13_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3685,f94,f119,f3285]) ).
fof(f6599,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ47_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f717,f356]) ).
fof(f6600,plain,
( ~ sQ82_spl
| ~ sQ47_spl
| sQ154_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f6599,f3335,f1005,f233,f355]) ).
fof(f6601,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ47_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f718,f356]) ).
fof(f6602,plain,
( ~ sQ82_spl
| ~ sQ47_spl
| sQ134_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f6601,f3335,f764,f233,f355]) ).
fof(f6603,plain,
( ~ sQ82_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f1609,f356]) ).
fof(f6604,plain,
( ~ sQ82_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f1610,f356]) ).
fof(f6605,plain,
( ~ sQ82_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1608,f356]) ).
fof(f6606,plain,
( ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f120,f610]) ).
fof(f6607,plain,
( ~ sQ13_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f120,f609]) ).
fof(f6608,plain,
( ~ sQ13_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f120,f608]) ).
fof(f6609,plain,
( ~ sQ347_spl
| ~ sQ13_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f120,f3770]) ).
fof(f6612,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f120,f1371]) ).
fof(f6613,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f120,f1370]) ).
fof(f6614,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ13_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f120,f1286]) ).
fof(f6615,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ13_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f120,f1287]) ).
fof(f6616,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ13_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f120,f2092]) ).
fof(f6617,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ13_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f120,f2093]) ).
fof(f6627,plain,
( ~ sQ98_spl
| ~ sQ13_spl
| sQ195_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f6612,f2194,f1429,f119,f406]) ).
fof(f6628,plain,
( ~ sQ98_spl
| ~ sQ13_spl
| sQ144_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f6613,f2194,f820,f119,f406]) ).
fof(f6629,plain,
( ~ sQ58_spl
| ~ sQ13_spl
| sQ163_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f6614,f1303,f1115,f119,f273]) ).
fof(f6630,plain,
( ~ sQ58_spl
| ~ sQ13_spl
| sQ220_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f6615,f1303,f1718,f119,f273]) ).
fof(f6631,plain,
( ~ sQ108_spl
| ~ sQ13_spl
| sQ163_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f6616,f4812,f1115,f119,f443]) ).
fof(f6632,plain,
( ~ sQ108_spl
| ~ sQ13_spl
| sQ188_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f6617,f4812,f1394,f119,f443]) ).
fof(f6635,plain,
( ~ sQ4_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f91,f704]) ).
fof(f6636,plain,
( ~ sQ24_spl
| ~ sQ4_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f91,f499]) ).
fof(f6637,plain,
( ~ sQ4_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f91,f703]) ).
fof(f6638,plain,
( ~ sQ104_spl
| ~ sQ4_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f91,f2129]) ).
fof(f6639,plain,
( ~ sQ4_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f91,f702]) ).
fof(f6640,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ4_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f91,f1805]) ).
fof(f6642,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ4_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f91,f501]) ).
fof(f6643,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ4_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f91,f502]) ).
fof(f6644,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ4_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f91,f2133]) ).
fof(f6645,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ4_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f91,f2132]) ).
fof(f6646,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ4_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f91,f1876]) ).
fof(f6647,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ4_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f91,f1877]) ).
fof(f6655,plain,
( ~ sQ24_spl
| ~ sQ4_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f6636,f1394,f90,f154]) ).
fof(f6656,plain,
( ~ sQ104_spl
| ~ sQ4_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f6638,f1394,f90,f430]) ).
fof(f6657,plain,
( ~ sQ124_spl
| ~ sQ4_spl
| sQ188_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f6640,f2323,f1394,f90,f494]) ).
fof(f6659,plain,
( ~ sQ24_spl
| ~ sQ4_spl
| sQ188_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f6642,f2259,f1394,f90,f154]) ).
fof(f6660,plain,
( ~ sQ24_spl
| ~ sQ4_spl
| sQ138_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f6643,f2259,f786,f90,f154]) ).
fof(f6661,plain,
( ~ sQ104_spl
| ~ sQ4_spl
| sQ188_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f6644,f3655,f1394,f90,f430]) ).
fof(f6662,plain,
( ~ sQ104_spl
| ~ sQ4_spl
| sQ138_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f6645,f3655,f786,f90,f430]) ).
fof(f6663,plain,
( ~ sQ119_spl
| ~ sQ4_spl
| sQ195_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f6646,f2318,f1429,f90,f478]) ).
fof(f6664,plain,
( ~ sQ119_spl
| ~ sQ4_spl
| sQ188_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f6647,f2318,f1394,f90,f478]) ).
fof(f6667,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f167,f997]) ).
fof(f6668,plain,
( ~ sQ26_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f167,f996]) ).
fof(f6669,plain,
( ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f995]) ).
fof(f6670,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ26_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f167,f582]) ).
fof(f6671,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ26_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f167,f581]) ).
fof(f6679,plain,
( ~ sQ16_spl
| ~ sQ26_spl
| sQ140_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f6670,f2425,f799,f166,f129]) ).
fof(f6680,plain,
( ~ sQ16_spl
| ~ sQ26_spl
| sQ195_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f6671,f2425,f1429,f166,f129]) ).
fof(f6683,plain,
( ~ sQ30_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f180,f955]) ).
fof(f6684,plain,
( ~ sQ30_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f180,f954]) ).
fof(f6685,plain,
( ~ sQ253_spl
| ~ sQ30_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f180,f2120]) ).
fof(f6686,plain,
( ~ sQ358_spl
| ~ sQ30_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f180,f4005]) ).
fof(f6687,plain,
( ~ sQ381_spl
| ~ sQ30_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f180,f4604]) ).
fof(f6688,plain,
( ~ sQ359_spl
| ~ sQ30_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f180,f4010]) ).
fof(f6689,plain,
( ~ sQ30_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f180,f953]) ).
fof(f6690,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ30_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f180,f1085]) ).
fof(f6691,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ30_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f180,f1084]) ).
fof(f6692,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ30_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f180,f1353]) ).
fof(f6693,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ30_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f180,f1352]) ).
fof(f6694,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ30_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f180,f1474]) ).
fof(f6695,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ30_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f180,f1473]) ).
fof(f6696,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f180,f956]) ).
fof(f6703,plain,
( ~ sQ65_spl
| ~ sQ30_spl
| sQ288_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f6690,f1175,f2546,f179,f296]) ).
fof(f6704,plain,
( ~ sQ65_spl
| ~ sQ30_spl
| sQ156_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f6691,f1175,f1015,f179,f296]) ).
fof(f6705,plain,
( ~ sQ50_spl
| ~ sQ30_spl
| sQ288_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f6692,f1447,f2546,f179,f248]) ).
fof(f6706,plain,
( ~ sQ50_spl
| ~ sQ30_spl
| sQ140_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f6693,f1447,f799,f179,f248]) ).
fof(f6707,plain,
( ~ sQ95_spl
| ~ sQ30_spl
| sQ156_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f6694,f2984,f1015,f179,f397]) ).
fof(f6708,plain,
( ~ sQ95_spl
| ~ sQ30_spl
| sQ154_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f6695,f2984,f1005,f179,f397]) ).
fof(f6709,plain,
( ~ sQ30_spl
| sQ132_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f6696,f911,f657,f179]) ).
fof(f6711,plain,
( ~ sQ31_spl
| ~ sQ325_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f183,f4135]) ).
fof(f6712,plain,
( ~ sQ31_spl
| ~ sQ325_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f6711]) ).
fof(f6713,plain,
( ~ sQ95_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f398,f1472]) ).
fof(f6714,plain,
( ~ sQ95_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f398,f1471]) ).
fof(f6715,plain,
( ~ sQ95_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f398,f1470]) ).
fof(f6716,plain,
( ~ sQ319_spl
| ~ sQ95_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f398,f3232]) ).
fof(f6717,plain,
( ~ sQ409_spl
| ~ sQ95_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f398,f5700]) ).
fof(f6727,plain,
( ~ sQ95_spl
| ~ sQ231_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f1825,f398]) ).
fof(f6732,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ5_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f699,f398]) ).
fof(f6733,plain,
( ~ sQ95_spl
| ~ sQ5_spl
| sQ167_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f6732,f2778,f1137,f94,f397]) ).
fof(f6734,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ5_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f698,f398]) ).
fof(f6735,plain,
( ~ sQ95_spl
| ~ sQ5_spl
| sQ136_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f6734,f2778,f771,f94,f397]) ).
fof(f6736,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ60_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1261,f398]) ).
fof(f6737,definition,
! [X0] :
( sQ424_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ424_spl])],[split_symbol_definition]) ).
fof(f6738,plain,
! [X0] :
( ~ sQ424_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f6737]) ).
fof(f6740,plain,
( ~ sQ95_spl
| ~ sQ60_spl
| sQ203_spl
| sQ424_spl ),
inference(split_clause,[status(thm)],[f6736,f6737,f1521,f280,f397]) ).
fof(f6741,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ60_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1260,f398]) ).
fof(f6742,plain,
( ~ sQ95_spl
| ~ sQ60_spl
| sQ228_spl
| sQ424_spl ),
inference(split_clause,[status(thm)],[f6741,f6737,f1809,f280,f397]) ).
fof(f6743,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ85_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1595,f398]) ).
fof(f6744,plain,
( ~ sQ95_spl
| ~ sQ85_spl
| sQ128_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f6743,f3445,f553,f365,f397]) ).
fof(f6747,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ120_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1864,f398]) ).
fof(f6748,plain,
( ~ sQ95_spl
| ~ sQ120_spl
| sQ126_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f6747,f5699,f507,f482,f397]) ).
fof(f6751,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ80_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1624,f398]) ).
fof(f6752,plain,
( ~ sQ95_spl
| ~ sQ80_spl
| sQ136_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f6751,f1644,f771,f349,f397]) ).
fof(f6753,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ80_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1625,f398]) ).
fof(f6754,plain,
( ~ sQ95_spl
| ~ sQ80_spl
| sQ128_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f6753,f1644,f553,f349,f397]) ).
fof(f6755,plain,
( ~ sQ95_spl
| ~ sQ85_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1592,f398]) ).
fof(f6756,plain,
( ~ sQ95_spl
| ~ sQ85_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f6755,f1809,f365,f397]) ).
fof(f6757,plain,
( ~ sQ317_spl
| ~ sQ115_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f6482,f446,f466,f3219]) ).
fof(f6758,plain,
( ~ sQ95_spl
| ~ sQ120_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1861,f398]) ).
fof(f6759,plain,
( ~ sQ95_spl
| ~ sQ120_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f6758,f827,f482,f397]) ).
fof(f6760,plain,
( ~ sQ73_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f322,f1036]) ).
fof(f6761,plain,
( ~ sQ73_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f322,f1035]) ).
fof(f6762,plain,
( ~ sQ73_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f322,f1034]) ).
fof(f6763,plain,
( ~ sQ380_spl
| ~ sQ73_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f322,f4557]) ).
fof(f6764,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ73_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f322,f757]) ).
fof(f6765,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ73_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f322,f756]) ).
fof(f6766,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ73_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f322,f611]) ).
fof(f6767,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ73_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f322,f612]) ).
fof(f6768,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ73_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f322,f564]) ).
fof(f6769,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ73_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f322,f563]) ).
fof(f6770,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f322,f1037]) ).
fof(f6771,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f322,f1038]) ).
fof(f6777,plain,
( ~ sQ380_spl
| ~ sQ73_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f6763,f260,f321,f4556]) ).
fof(f6778,plain,
( ~ sQ38_spl
| ~ sQ73_spl
| sQ163_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f6764,f1127,f1115,f321,f204]) ).
fof(f6779,plain,
( ~ sQ38_spl
| ~ sQ73_spl
| sQ228_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f6765,f1127,f1809,f321,f204]) ).
fof(f6780,plain,
( ~ sQ13_spl
| ~ sQ73_spl
| sQ228_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f6766,f4256,f1809,f321,f119]) ).
fof(f6781,plain,
( ~ sQ13_spl
| ~ sQ73_spl
| sQ158_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f6767,f4256,f1043,f321,f119]) ).
fof(f6782,plain,
( ~ sQ18_spl
| ~ sQ73_spl
| sQ158_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f6768,f4286,f1043,f321,f135]) ).
fof(f6783,plain,
( ~ sQ18_spl
| ~ sQ73_spl
| sQ149_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f6769,f4286,f846,f321,f135]) ).
fof(f6784,plain,
( ~ sQ73_spl
| sQ126_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f6770,f1159,f507,f321]) ).
fof(f6785,plain,
( ~ sQ73_spl
| sQ130_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f6771,f1159,f643,f321]) ).
fof(f6786,plain,
( ~ sQ285_spl
| ~ sQ21_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f4998,f119,f145,f2494]) ).
fof(f6788,plain,
( ~ sQ13_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f120,f610]) ).
fof(f6789,plain,
( ~ sQ13_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f120,f609]) ).
fof(f6790,plain,
( ~ sQ13_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f120,f608]) ).
fof(f6800,plain,
( ~ sQ13_spl
| ~ sQ222_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f1751,f120]) ).
fof(f6801,plain,
( ~ sQ13_spl
| ~ sQ322_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f3281,f120]) ).
fof(f6810,plain,
( ~ sQ13_spl
| ~ sQ18_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f561,f120]) ).
fof(f6811,plain,
( ~ sQ13_spl
| ~ sQ18_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f6810,f1208,f135,f119]) ).
fof(f6816,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f530]) ).
fof(f6817,plain,
( ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f529]) ).
fof(f6819,plain,
( ~ sQ21_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f528]) ).
fof(f6849,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f1024]) ).
fof(f6850,plain,
( ~ sQ25_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f164,f1023]) ).
fof(f6851,plain,
( ~ sQ25_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1022]) ).
fof(f6878,plain,
( ~ sQ76_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f337,f1742]) ).
fof(f6879,plain,
( ~ sQ76_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f337,f1741]) ).
fof(f6880,plain,
( ~ sQ76_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f337,f1740]) ).
fof(f6881,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ76_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f337,f2038]) ).
fof(f6882,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ76_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f337,f2037]) ).
fof(f6883,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ76_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f337,f1231]) ).
fof(f6884,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ76_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f337,f1230]) ).
fof(f6898,plain,
( ~ sQ111_spl
| ~ sQ76_spl
| sQ146_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f6881,f3591,f827,f336,f453]) ).
fof(f6899,plain,
( ~ sQ111_spl
| ~ sQ76_spl
| sQ220_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f6882,f3591,f1718,f336,f453]) ).
fof(f6900,plain,
( ~ sQ61_spl
| ~ sQ76_spl
| sQ203_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f6883,f5968,f1521,f336,f283]) ).
fof(f6901,plain,
( ~ sQ61_spl
| ~ sQ76_spl
| sQ220_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f6884,f5968,f1718,f336,f283]) ).
fof(f6910,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f85,f2241]) ).
fof(f6911,plain,
( ~ sQ2_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f85,f2240]) ).
fof(f6912,plain,
( ~ sQ102_spl
| ~ sQ2_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f85,f2139]) ).
fof(f6913,plain,
( ~ sQ2_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f85,f2239]) ).
fof(f6923,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ2_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f85,f2143]) ).
fof(f6931,plain,
( ~ sQ102_spl
| ~ sQ2_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f6912,f1394,f84,f424]) ).
fof(f6941,plain,
( ~ sQ102_spl
| ~ sQ2_spl
| sQ188_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f6923,f3655,f1394,f84,f424]) ).
fof(f6948,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f215,f5782]) ).
fof(f6949,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f215,f742]) ).
fof(f6950,plain,
( ~ sQ41_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f215,f741]) ).
fof(f6965,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f6966,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f6967,plain,
( ~ sQ9_spl
| ~ sQ34_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f192,f648]) ).
fof(f6968,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f6969,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ34_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f192,f651]) ).
fof(f6970,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ34_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f192,f652]) ).
fof(f6971,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ34_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f192,f1333]) ).
fof(f6972,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ34_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f192,f1332]) ).
fof(f6980,plain,
( ~ sQ9_spl
| ~ sQ34_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f6967,f799,f191,f106]) ).
fof(f6981,plain,
( ~ sQ9_spl
| ~ sQ34_spl
| sQ132_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f6969,f2994,f657,f191,f106]) ).
fof(f6982,plain,
( ~ sQ9_spl
| ~ sQ34_spl
| sQ140_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f6970,f2994,f799,f191,f106]) ).
fof(f6983,plain,
( ~ sQ54_spl
| ~ sQ34_spl
| sQ288_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f6971,f1447,f2546,f191,f260]) ).
fof(f6984,plain,
( ~ sQ54_spl
| ~ sQ34_spl
| sQ140_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f6972,f1447,f799,f191,f260]) ).
fof(f6987,plain,
( ~ sQ47_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f234,f716]) ).
fof(f6988,plain,
( ~ sQ47_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f234,f715]) ).
fof(f6989,plain,
( ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f234,f714]) ).
fof(f6990,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ47_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f234,f1516]) ).
fof(f6991,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ47_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f234,f1517]) ).
fof(f6992,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f234,f718]) ).
fof(f6993,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f234,f717]) ).
fof(f6994,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ47_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f234,f2243]) ).
fof(f6995,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ47_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f234,f2242]) ).
fof(f7001,definition,
! [X0] :
( sQ425_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ425_spl])],[split_symbol_definition]) ).
fof(f7002,plain,
! [X0] :
( ~ sQ425_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f7001]) ).
fof(f7004,plain,
( ~ sQ92_spl
| ~ sQ47_spl
| sQ149_spl
| sQ425_spl ),
inference(split_clause,[status(thm)],[f6990,f7001,f846,f233,f387]) ).
fof(f7005,plain,
( ~ sQ92_spl
| ~ sQ47_spl
| sQ156_spl
| sQ425_spl ),
inference(split_clause,[status(thm)],[f6991,f7001,f1015,f233,f387]) ).
fof(f7006,plain,
( ~ sQ47_spl
| sQ132_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f6992,f831,f657,f233]) ).
fof(f7007,plain,
( ~ sQ47_spl
| sQ126_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f6993,f831,f507,f233]) ).
fof(f7008,plain,
( ~ sQ2_spl
| ~ sQ47_spl
| sQ140_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f6994,f4556,f799,f233,f84]) ).
fof(f7009,plain,
( ~ sQ2_spl
| ~ sQ47_spl
| sQ169_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f6995,f4556,f1144,f233,f84]) ).
fof(f7010,plain,
( ~ sQ92_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f388,f1515]) ).
fof(f7011,plain,
( ~ sQ92_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f388,f1514]) ).
fof(f7012,plain,
( ~ sQ92_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f388,f1513]) ).
fof(f7014,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f388,f1516]) ).
fof(f7016,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ92_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f388,f718]) ).
fof(f7017,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ92_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f388,f717]) ).
fof(f7018,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ92_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f388,f2243]) ).
fof(f7025,plain,
( ~ sQ92_spl
| sQ128_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f7014,f1497,f553,f387]) ).
fof(f7027,plain,
( ~ sQ47_spl
| ~ sQ92_spl
| sQ134_spl
| sQ425_spl ),
inference(split_clause,[status(thm)],[f7016,f7001,f764,f387,f233]) ).
fof(f7028,plain,
( ~ sQ47_spl
| ~ sQ92_spl
| sQ146_spl
| sQ425_spl ),
inference(split_clause,[status(thm)],[f7017,f7001,f827,f387,f233]) ).
fof(f7029,plain,
( ~ sQ2_spl
| ~ sQ92_spl
| sQ167_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f7018,f4542,f1137,f387,f84]) ).
fof(f7031,plain,
( ~ sQ54_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f261,f1331]) ).
fof(f7032,plain,
( ~ sQ54_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f261,f1330]) ).
fof(f7033,plain,
( ~ sQ54_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f261,f1329]) ).
fof(f7034,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f261,f1333]) ).
fof(f7035,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f261,f1332]) ).
fof(f7036,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ54_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f261,f908]) ).
fof(f7037,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ54_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f261,f909]) ).
fof(f7043,definition,
! [X0] :
( sQ426_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ426_spl])],[split_symbol_definition]) ).
fof(f7044,plain,
! [X0] :
( ~ sQ426_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f7043]) ).
fof(f7046,plain,
( ~ sQ54_spl
| sQ130_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f7034,f7043,f643,f260]) ).
fof(f7047,plain,
( ~ sQ54_spl
| sQ138_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f7035,f7043,f786,f260]) ).
fof(f7048,plain,
( ~ sQ34_spl
| ~ sQ54_spl
| sQ199_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f7036,f1447,f1450,f260,f191]) ).
fof(f7049,plain,
( ~ sQ34_spl
| ~ sQ54_spl
| sQ163_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f7037,f1447,f1115,f260,f191]) ).
fof(f7052,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ11_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f628,f215]) ).
fof(f7054,plain,
( ~ sQ41_spl
| ~ sQ11_spl
| sQ140_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f7052,f3097,f799,f113,f214]) ).
fof(f7056,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ11_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f627,f215]) ).
fof(f7058,plain,
( ~ sQ41_spl
| ~ sQ11_spl
| sQ203_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f7056,f3097,f1521,f113,f214]) ).
fof(f7059,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ100_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2155,f164]) ).
fof(f7060,plain,
( ~ sQ25_spl
| ~ sQ100_spl
| sQ138_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f7059,f3906,f786,f418,f163]) ).
fof(f7063,plain,
( ~ sQ92_spl
| ~ sQ166_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f1135,f388]) ).
fof(f7064,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ121_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1856,f337]) ).
fof(f7065,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ121_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1856,f215]) ).
fof(f7066,plain,
( ~ sQ76_spl
| ~ sQ121_spl
| sQ188_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f7064,f1932,f1394,f485,f336]) ).
fof(f7067,plain,
( ~ sQ41_spl
| ~ sQ121_spl
| sQ146_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f7065,f2565,f827,f485,f214]) ).
fof(f7068,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ121_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1857,f337]) ).
fof(f7069,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ121_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1857,f215]) ).
fof(f7070,plain,
( ~ sQ76_spl
| ~ sQ121_spl
| sQ146_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f7068,f1932,f827,f485,f336]) ).
fof(f7071,plain,
( ~ sQ41_spl
| ~ sQ121_spl
| sQ154_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f7069,f2565,f1005,f485,f214]) ).
fof(f7073,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ71_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1058,f215]) ).
fof(f7075,plain,
( ~ sQ41_spl
| ~ sQ71_spl
| sQ288_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f7073,f1110,f2546,f315,f214]) ).
fof(f7076,plain,
( ~ sQ47_spl
| ~ sQ162_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f1111,f234]) ).
fof(f7078,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ71_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1057,f215]) ).
fof(f7080,plain,
( ~ sQ41_spl
| ~ sQ71_spl
| sQ146_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f7078,f1110,f827,f315,f214]) ).
fof(f7089,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ7_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f679,f388]) ).
fof(f7090,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f679,f234]) ).
fof(f7091,plain,
( ~ sQ92_spl
| ~ sQ7_spl
| sQ167_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f7089,f3243,f1137,f100,f387]) ).
fof(f7092,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| sQ140_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f7090,f768,f799,f100,f233]) ).
fof(f7093,plain,
( ~ sQ321_spl
| ~ sQ41_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f4166,f191,f214,f3243]) ).
fof(f7094,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ65_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1084,f164]) ).
fof(f7095,plain,
( ~ sQ25_spl
| ~ sQ65_spl
| sQ195_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f7094,f1134,f1429,f296,f163]) ).
fof(f7096,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ65_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1085,f164]) ).
fof(f7097,plain,
( ~ sQ25_spl
| ~ sQ65_spl
| sQ288_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f7096,f1134,f2546,f296,f163]) ).
fof(f7111,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ82_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1612,f234]) ).
fof(f7112,plain,
( ~ sQ47_spl
| ~ sQ82_spl
| sQ156_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f7111,f3335,f1015,f355,f233]) ).
fof(f7113,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ82_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1611,f234]) ).
fof(f7114,plain,
( ~ sQ47_spl
| ~ sQ82_spl
| sQ136_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f7113,f3335,f771,f355,f233]) ).
fof(f7120,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ61_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1230,f215]) ).
fof(f7122,plain,
( ~ sQ41_spl
| ~ sQ61_spl
| sQ203_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f7120,f3519,f1521,f283,f214]) ).
fof(f7124,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ61_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1231,f215]) ).
fof(f7126,plain,
( ~ sQ41_spl
| ~ sQ61_spl
| sQ288_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f7124,f3519,f2546,f283,f214]) ).
fof(f7139,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ52_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1342,f234]) ).
fof(f7140,plain,
( ~ sQ47_spl
| ~ sQ52_spl
| sQ169_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f7139,f1442,f1144,f254,f233]) ).
fof(f7141,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ52_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1343,f234]) ).
fof(f7142,plain,
( ~ sQ47_spl
| ~ sQ52_spl
| sQ288_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f7141,f1442,f2546,f254,f233]) ).
fof(f7148,definition,
! [X0] :
( sQ427_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ427_spl])],[split_symbol_definition]) ).
fof(f7149,plain,
! [X0] :
( ~ sQ427_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f7148]) ).
fof(f7152,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ39_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f5730,f192]) ).
fof(f7153,plain,
( ~ sQ34_spl
| ~ sQ39_spl
| sQ132_spl
| sQ427_spl ),
inference(split_clause,[status(thm)],[f7152,f7148,f657,f207,f191]) ).
fof(f7154,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ17_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f573,f234]) ).
fof(f7155,plain,
( ~ sQ47_spl
| ~ sQ17_spl
| sQ140_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f7154,f4094,f799,f132,f233]) ).
fof(f7156,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ17_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f572,f234]) ).
fof(f7157,plain,
( ~ sQ47_spl
| ~ sQ17_spl
| sQ149_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f7156,f4094,f846,f132,f233]) ).
fof(f7158,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ117_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1895,f234]) ).
fof(f7159,definition,
! [X0] :
( sQ428_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ428_spl])],[split_symbol_definition]) ).
fof(f7160,plain,
! [X0] :
( ~ sQ428_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f7159]) ).
fof(f7162,plain,
( ~ sQ47_spl
| ~ sQ117_spl
| sQ154_spl
| sQ428_spl ),
inference(split_clause,[status(thm)],[f7158,f7159,f1005,f472,f233]) ).
fof(f7163,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ117_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1894,f234]) ).
fof(f7164,plain,
( ~ sQ47_spl
| ~ sQ117_spl
| sQ149_spl
| sQ428_spl ),
inference(split_clause,[status(thm)],[f7163,f7159,f846,f472,f233]) ).
fof(f7165,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ74_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1030,f192]) ).
fof(f7166,plain,
( ~ sQ34_spl
| ~ sQ74_spl
| sQ154_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f7165,f2979,f1005,f324,f191]) ).
fof(f7167,plain,
( ~ sQ47_spl
| ~ sQ306_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f2980,f234]) ).
fof(f7168,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ74_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1031,f192]) ).
fof(f7169,plain,
( ~ sQ34_spl
| ~ sQ74_spl
| sQ288_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f7168,f2979,f2546,f324,f191]) ).
fof(f7170,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ14_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f603,f192]) ).
fof(f7171,plain,
( ~ sQ34_spl
| ~ sQ14_spl
| sQ288_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f7170,f2989,f2546,f122,f191]) ).
fof(f7172,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ14_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f604,f192]) ).
fof(f7173,plain,
( ~ sQ34_spl
| ~ sQ14_spl
| sQ140_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f7172,f2989,f799,f122,f191]) ).
fof(f7174,plain,
( ~ sQ95_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f398,f1472]) ).
fof(f7175,plain,
( ~ sQ95_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f398,f1471]) ).
fof(f7176,plain,
( ~ sQ236_spl
| ~ sQ95_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f398,f1943]) ).
fof(f7177,plain,
( ~ sQ95_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f398,f1470]) ).
fof(f7178,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ95_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f398,f1537]) ).
fof(f7179,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ95_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f398,f1538]) ).
fof(f7182,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ95_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f398,f1085]) ).
fof(f7183,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ95_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f398,f1084]) ).
fof(f7193,definition,
! [X0] :
( sQ429_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ429_spl])],[split_symbol_definition]) ).
fof(f7194,plain,
! [X0] :
( ~ sQ429_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f7193]) ).
fof(f7196,plain,
( ~ sQ90_spl
| ~ sQ95_spl
| sQ149_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f7178,f7193,f846,f397,f381]) ).
fof(f7197,plain,
( ~ sQ90_spl
| ~ sQ95_spl
| sQ128_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f7179,f7193,f553,f397,f381]) ).
fof(f7200,plain,
( ~ sQ65_spl
| ~ sQ95_spl
| sQ203_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f7182,f1422,f1521,f397,f296]) ).
fof(f7201,plain,
( ~ sQ65_spl
| ~ sQ95_spl
| sQ149_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f7183,f1422,f846,f397,f296]) ).
fof(f7206,plain,
( ~ sQ21_spl
| ~ sQ193_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f5259,f132,f1422,f145]) ).
fof(f7208,plain,
( ~ sQ41_spl
| ~ sQ378_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f4543,f215]) ).
fof(f7215,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ36_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f878,f215]) ).
fof(f7217,plain,
( ~ sQ41_spl
| ~ sQ36_spl
| sQ132_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f7215,f3092,f657,f198,f214]) ).
fof(f7226,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ100_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2155,f398]) ).
fof(f7228,plain,
( ~ sQ95_spl
| ~ sQ100_spl
| sQ169_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f7226,f2176,f1144,f418,f397]) ).
fof(f7230,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ100_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2156,f398]) ).
fof(f7232,plain,
( ~ sQ95_spl
| ~ sQ100_spl
| sQ146_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f7230,f2176,f827,f418,f397]) ).
fof(f7234,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ67_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1075,f234]) ).
fof(f7235,definition,
! [X0] :
( sQ430_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ430_spl])],[split_symbol_definition]) ).
fof(f7236,plain,
! [X0] :
( ~ sQ430_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f7235]) ).
fof(f7238,plain,
( ~ sQ47_spl
| ~ sQ67_spl
| sQ288_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f7234,f7235,f2546,f302,f233]) ).
fof(f7239,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ67_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1074,f234]) ).
fof(f7240,plain,
( ~ sQ47_spl
| ~ sQ67_spl
| sQ149_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f7239,f7235,f846,f302,f233]) ).
fof(f7241,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ115_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1917,f398]) ).
fof(f7243,definition,
! [X0] :
( sQ431_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ431_spl])],[split_symbol_definition]) ).
fof(f7244,plain,
! [X0] :
( ~ sQ431_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f7243]) ).
fof(f7246,plain,
( ~ sQ95_spl
| ~ sQ115_spl
| sQ149_spl
| sQ431_spl ),
inference(split_clause,[status(thm)],[f7241,f7243,f846,f466,f397]) ).
fof(f7248,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ115_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1918,f398]) ).
fof(f7250,plain,
( ~ sQ95_spl
| ~ sQ115_spl
| sQ146_spl
| sQ431_spl ),
inference(split_clause,[status(thm)],[f7248,f7243,f827,f466,f397]) ).
fof(f7253,definition,
! [X0] :
( sQ432_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ432_spl])],[split_symbol_definition]) ).
fof(f7254,plain,
! [X0] :
( ~ sQ432_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f7253]) ).
fof(f7257,plain,
( ~ sQ95_spl
| ~ sQ432_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f7254,f398]) ).
fof(f7258,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ122_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1845,f234]) ).
fof(f7259,plain,
( ~ sQ47_spl
| ~ sQ122_spl
| sQ126_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f7258,f7253,f507,f488,f233]) ).
fof(f7268,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ57_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1301,f234]) ).
fof(f7269,plain,
( ~ sQ47_spl
| ~ sQ57_spl
| sQ288_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f7268,f4153,f2546,f270,f233]) ).
fof(f7270,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ57_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1300,f234]) ).
fof(f7271,plain,
( ~ sQ47_spl
| ~ sQ57_spl
| sQ136_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f7270,f4153,f771,f270,f233]) ).
fof(f7272,plain,
( ~ sQ41_spl
| ~ sQ36_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f875,f215]) ).
fof(f7273,plain,
( ~ sQ41_spl
| ~ sQ36_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f7272,f1521,f198,f214]) ).
fof(f7274,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ77_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1729,f234]) ).
fof(f7275,plain,
( ~ sQ47_spl
| ~ sQ77_spl
| sQ156_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f7274,f1705,f1015,f339,f233]) ).
fof(f7276,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ77_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1728,f234]) ).
fof(f7277,plain,
( ~ sQ47_spl
| ~ sQ77_spl
| sQ169_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f7276,f1705,f1144,f339,f233]) ).
fof(f7278,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ7_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f678,f234]) ).
fof(f7279,plain,
( ~ sQ47_spl
| ~ sQ7_spl
| sQ136_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f7278,f768,f771,f100,f233]) ).
fof(f7283,plain,
( ~ sQ34_spl
| ~ sQ218_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1711,f192]) ).
fof(f7285,plain,
( ~ sQ95_spl
| ~ sQ291_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f2566,f398]) ).
fof(f7286,plain,
( ~ sQ47_spl
| ~ sQ262_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f2211,f234]) ).
fof(f7287,plain,
( ~ sQ47_spl
| ~ sQ262_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f7286,f163,f2210,f233]) ).
fof(f7288,plain,
( ~ sQ258_spl
| ~ sQ21_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f3140,f87,f145,f2184]) ).
fof(f7289,plain,
( ~ sQ47_spl
| ~ sQ368_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f4257,f234]) ).
fof(f7290,plain,
( ~ sQ47_spl
| ~ sQ168_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f1142,f234]) ).
fof(f7291,plain,
( ~ sQ41_spl
| ~ sQ205_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f1545,f215]) ).
fof(f7292,plain,
( ~ sQ41_spl
| ~ sQ204_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f1540,f215]) ).
fof(f7305,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ102_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2143,f234]) ).
fof(f7306,definition,
! [X0] :
( sQ433_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ433_spl])],[split_symbol_definition]) ).
fof(f7307,plain,
! [X0] :
( ~ sQ433_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f7306]) ).
fof(f7309,plain,
( ~ sQ47_spl
| ~ sQ102_spl
| sQ154_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f7305,f7306,f1005,f424,f233]) ).
fof(f7310,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ102_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2142,f234]) ).
fof(f7311,plain,
( ~ sQ47_spl
| ~ sQ102_spl
| sQ169_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f7310,f7306,f1144,f424,f233]) ).
fof(f7312,plain,
( ~ sQ7_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f101,f677]) ).
fof(f7313,plain,
( ~ sQ7_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f101,f676]) ).
fof(f7314,plain,
( ~ sQ7_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f101,f675]) ).
fof(f7315,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ7_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f101,f2098]) ).
fof(f7324,plain,
( ~ sQ107_spl
| ~ sQ7_spl
| sQ132_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f7315,f2119,f657,f100,f440]) ).
fof(f7328,plain,
( ~ sQ76_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f337,f1742]) ).
fof(f7329,plain,
( ~ sQ76_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f337,f1741]) ).
fof(f7330,plain,
( ~ sQ76_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f337,f1740]) ).
fof(f7352,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f530]) ).
fof(f7353,plain,
( ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f529]) ).
fof(f7354,plain,
( ~ sQ21_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f528]) ).
fof(f7355,plain,
( ~ sQ193_spl
| ~ sQ21_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f146,f1423]) ).
fof(f7381,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f136,f562]) ).
fof(f7382,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f136,f2164]) ).
fof(f7383,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f136,f561]) ).
fof(f7384,plain,
( ~ sQ18_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f560]) ).
fof(f7386,plain,
( ~ sQ226_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f136,f1784]) ).
fof(f7387,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ18_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f136,f1841]) ).
fof(f7388,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ18_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f136,f1840]) ).
fof(f7389,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ18_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f2167]) ).
fof(f7390,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ18_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f2166]) ).
fof(f7391,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ18_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f136,f2092]) ).
fof(f7392,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ18_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f136,f2093]) ).
fof(f7397,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ18_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f136,f1037]) ).
fof(f7398,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ18_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f136,f1038]) ).
fof(f7408,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f7382,f1137,f135,f87]) ).
fof(f7409,plain,
( ~ sQ123_spl
| ~ sQ18_spl
| sQ188_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f7387,f2718,f1394,f135,f491]) ).
fof(f7410,plain,
( ~ sQ123_spl
| ~ sQ18_spl
| sQ146_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f7388,f2718,f827,f135,f491]) ).
fof(f7411,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sQ138_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f7389,f4551,f786,f135,f87]) ).
fof(f7412,plain,
( ~ sQ3_spl
| ~ sQ18_spl
| sQ167_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f7390,f4551,f1137,f135,f87]) ).
fof(f7413,plain,
( ~ sQ108_spl
| ~ sQ18_spl
| sQ134_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f7391,f2124,f764,f135,f443]) ).
fof(f7414,plain,
( ~ sQ108_spl
| ~ sQ18_spl
| sQ188_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f7392,f2124,f1394,f135,f443]) ).
fof(f7419,plain,
( ~ sQ73_spl
| ~ sQ18_spl
| sQ146_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f7397,f4286,f827,f135,f321]) ).
fof(f7420,plain,
( ~ sQ73_spl
| ~ sQ18_spl
| sQ220_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f7398,f4286,f1718,f135,f321]) ).
fof(f7425,plain,
( ~ sQ41_spl
| ~ sQ378_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f7208,f175,f4542,f214]) ).
fof(f7427,plain,
! [X0] :
( ~ sQ426_spl
| ~ product(X0,e_5,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f7044]) ).
fof(f7428,plain,
( ~ sQ176_spl
| ~ sQ94_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1480,f371,f393,f1204]) ).
fof(f7436,definition,
! [X0] :
( sQ434_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ434_spl])],[split_symbol_definition]) ).
fof(f7437,plain,
! [X0] :
( ~ sQ434_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f7436]) ).
fof(f7440,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ23_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f516,f136]) ).
fof(f7441,plain,
( ~ sQ18_spl
| ~ sQ23_spl
| sQ138_spl
| sQ434_spl ),
inference(split_clause,[status(thm)],[f7440,f7436,f786,f151,f135]) ).
fof(f7450,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ68_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2345,f136]) ).
fof(f7451,plain,
( ~ sQ18_spl
| ~ sQ68_spl
| sQ128_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f7450,f2713,f553,f305,f135]) ).
fof(f7454,plain,
( ~ sQ18_spl
| ~ sQ23_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f513,f136]) ).
fof(f7455,plain,
( ~ sQ18_spl
| ~ sQ23_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f7454,f827,f151,f135]) ).
fof(f7456,plain,
( ~ sQ100_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f419,f2154]) ).
fof(f7457,plain,
( ~ sQ105_spl
| ~ sQ100_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f419,f2114]) ).
fof(f7458,plain,
( ~ sQ115_spl
| ~ sQ100_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f419,f1915]) ).
fof(f7459,plain,
( ~ sQ100_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f419,f2153]) ).
fof(f7460,plain,
( ~ sQ100_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f419,f2152]) ).
fof(f7461,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ100_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f419,f1625]) ).
fof(f7462,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ100_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f419,f1624]) ).
fof(f7463,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ100_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f419,f1085]) ).
fof(f7464,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ100_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f419,f1084]) ).
fof(f7465,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ100_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f419,f1865]) ).
fof(f7467,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ100_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f419,f2116]) ).
fof(f7468,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ100_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f419,f2117]) ).
fof(f7471,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ100_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f419,f727]) ).
fof(f7472,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ100_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f419,f728]) ).
fof(f7473,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ100_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f419,f1918]) ).
fof(f7474,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ100_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f419,f1917]) ).
fof(f7482,plain,
( ~ sQ105_spl
| ~ sQ100_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f7457,f1450,f418,f434]) ).
fof(f7483,plain,
( ~ sQ115_spl
| ~ sQ100_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f7458,f1429,f418,f466]) ).
fof(f7484,plain,
( ~ sQ80_spl
| ~ sQ100_spl
| sQ149_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f7461,f3892,f846,f418,f349]) ).
fof(f7485,plain,
( ~ sQ80_spl
| ~ sQ100_spl
| sQ199_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f7462,f3892,f1450,f418,f349]) ).
fof(f7486,definition,
! [X0] :
( sQ435_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ435_spl])],[split_symbol_definition]) ).
fof(f7487,plain,
! [X0] :
( ~ sQ435_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f7486]) ).
fof(f7489,plain,
( ~ sQ65_spl
| ~ sQ100_spl
| sQ228_spl
| sQ435_spl ),
inference(split_clause,[status(thm)],[f7463,f7486,f1809,f418,f296]) ).
fof(f7490,plain,
( ~ sQ65_spl
| ~ sQ100_spl
| sQ195_spl
| sQ435_spl ),
inference(split_clause,[status(thm)],[f7464,f7486,f1429,f418,f296]) ).
fof(f7491,plain,
( ~ sQ120_spl
| ~ sQ100_spl
| sQ126_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f7465,f5254,f507,f418,f482]) ).
fof(f7493,plain,
( ~ sQ105_spl
| ~ sQ100_spl
| sQ199_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f7467,f5249,f1450,f418,f434]) ).
fof(f7494,plain,
( ~ sQ105_spl
| ~ sQ100_spl
| sQ126_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f7468,f5249,f507,f418,f434]) ).
fof(f7497,plain,
( ~ sQ45_spl
| ~ sQ100_spl
| sQ188_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f7471,f7306,f1394,f418,f227]) ).
fof(f7498,plain,
( ~ sQ45_spl
| ~ sQ100_spl
| sQ136_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f7472,f7306,f771,f418,f227]) ).
fof(f7499,definition,
! [X0] :
( sQ436_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ436_spl])],[split_symbol_definition]) ).
fof(f7500,plain,
! [X0] :
( ~ sQ436_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f7499]) ).
fof(f7502,plain,
( ~ sQ115_spl
| ~ sQ100_spl
| sQ126_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f7473,f7499,f507,f418,f466]) ).
fof(f7503,plain,
( ~ sQ115_spl
| ~ sQ100_spl
| sQ195_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f7474,f7499,f1429,f418,f466]) ).
fof(f7506,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f215,f5782]) ).
fof(f7507,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f215,f742]) ).
fof(f7508,plain,
( ~ sQ41_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f215,f741]) ).
fof(f7513,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ41_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f215,f1383]) ).
fof(f7514,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ41_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f215,f1382]) ).
fof(f7515,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ41_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f215,f2293]) ).
fof(f7516,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ41_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f215,f2292]) ).
fof(f7528,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| sQ156_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f7513,f1666,f1015,f214,f400]) ).
fof(f7529,plain,
( ~ sQ96_spl
| ~ sQ41_spl
| sQ146_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f7514,f1666,f827,f214,f400]) ).
fof(f7530,plain,
( ~ sQ1_spl
| ~ sQ41_spl
| sQ140_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f7515,f2279,f799,f214,f81]) ).
fof(f7531,plain,
( ~ sQ1_spl
| ~ sQ41_spl
| sQ167_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f7516,f2279,f1137,f214,f81]) ).
fof(f7534,plain,
( ~ sQ32_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f186,f932]) ).
fof(f7535,plain,
( ~ sQ32_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f186,f931]) ).
fof(f7536,plain,
( ~ sQ57_spl
| ~ sQ32_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f186,f1297]) ).
fof(f7537,plain,
( ~ sQ32_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f186,f930]) ).
fof(f7538,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ32_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f186,f1074]) ).
fof(f7539,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ32_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f186,f1075]) ).
fof(f7540,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ32_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f186,f1300]) ).
fof(f7541,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ32_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f186,f1301]) ).
fof(f7549,plain,
( ~ sQ57_spl
| ~ sQ32_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f7536,f2546,f185,f270]) ).
fof(f7550,plain,
( ~ sQ67_spl
| ~ sQ32_spl
| sQ156_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f7538,f1175,f1015,f185,f302]) ).
fof(f7551,plain,
( ~ sQ67_spl
| ~ sQ32_spl
| sQ288_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f7539,f1175,f2546,f185,f302]) ).
fof(f7552,definition,
! [X0] :
( sQ437_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ437_spl])],[split_symbol_definition]) ).
fof(f7553,plain,
! [X0] :
( ~ sQ437_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f7552]) ).
fof(f7555,plain,
( ~ sQ57_spl
| ~ sQ32_spl
| sQ132_spl
| sQ437_spl ),
inference(split_clause,[status(thm)],[f7540,f7552,f657,f185,f270]) ).
fof(f7556,plain,
( ~ sQ57_spl
| ~ sQ32_spl
| sQ288_spl
| sQ437_spl ),
inference(split_clause,[status(thm)],[f7541,f7552,f2546,f185,f270]) ).
fof(f7559,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f726]) ).
fof(f7560,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f725]) ).
fof(f7561,plain,
( ~ sQ384_spl
| ~ sQ45_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f228,f4680]) ).
fof(f7562,plain,
( ~ sQ298_spl
| ~ sQ45_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f228,f2719]) ).
fof(f7563,plain,
( ~ sQ400_spl
| ~ sQ45_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f228,f5255]) ).
fof(f7564,plain,
( ~ sQ45_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f228,f724]) ).
fof(f7565,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f228,f727]) ).
fof(f7566,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f228,f728]) ).
fof(f7572,plain,
( ~ sQ45_spl
| sQ126_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f7565,f831,f507,f227]) ).
fof(f7573,plain,
( ~ sQ45_spl
| sQ132_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f7566,f831,f657,f227]) ).
fof(f7574,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ10_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f635,f228]) ).
fof(f7575,plain,
( ~ sQ45_spl
| ~ sQ10_spl
| sQ228_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f7574,f3340,f1809,f110,f227]) ).
fof(f7576,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ10_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f636,f228]) ).
fof(f7577,plain,
( ~ sQ45_spl
| ~ sQ10_spl
| sQ140_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f7576,f3340,f799,f110,f227]) ).
fof(f7578,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ100_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2155,f228]) ).
fof(f7579,plain,
( ~ sQ45_spl
| ~ sQ100_spl
| sQ169_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f7578,f7306,f1144,f418,f227]) ).
fof(f7580,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ100_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2156,f228]) ).
fof(f7581,plain,
( ~ sQ45_spl
| ~ sQ100_spl
| sQ154_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f7580,f7306,f1005,f418,f227]) ).
fof(f7582,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ120_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1864,f228]) ).
fof(f7583,plain,
( ~ sQ45_spl
| ~ sQ120_spl
| sQ126_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f7582,f7253,f507,f482,f227]) ).
fof(f7586,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ55_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1327,f228]) ).
fof(f7587,plain,
( ~ sQ45_spl
| ~ sQ55_spl
| sQ136_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f7586,f4153,f771,f264,f227]) ).
fof(f7589,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ55_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1328,f228]) ).
fof(f7590,plain,
( ~ sQ45_spl
| ~ sQ55_spl
| sQ288_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f7589,f4153,f2546,f264,f227]) ).
fof(f7591,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ80_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1624,f228]) ).
fof(f7592,plain,
( ~ sQ45_spl
| ~ sQ80_spl
| sQ136_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f7591,f3335,f771,f349,f227]) ).
fof(f7593,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ80_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1625,f228]) ).
fof(f7594,plain,
( ~ sQ45_spl
| ~ sQ80_spl
| sQ156_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f7593,f3335,f1015,f349,f227]) ).
fof(f7595,plain,
( ~ sQ73_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f322,f1036]) ).
fof(f7596,plain,
( ~ sQ73_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f322,f1035]) ).
fof(f7597,plain,
( ~ sQ73_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f322,f1034]) ).
fof(f7598,plain,
( ~ sQ361_spl
| ~ sQ73_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f322,f4022]) ).
fof(f7599,plain,
( ~ sQ325_spl
| ~ sQ73_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f322,f3336]) ).
fof(f7600,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ73_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f322,f1703]) ).
fof(f7601,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ73_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f322,f1704]) ).
fof(f7602,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ73_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f322,f1561]) ).
fof(f7603,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ73_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f322,f1560]) ).
fof(f7613,plain,
( ~ sQ78_spl
| ~ sQ73_spl
| sQ169_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f7600,f3816,f1144,f321,f342]) ).
fof(f7614,plain,
( ~ sQ78_spl
| ~ sQ73_spl
| sQ177_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f7601,f3816,f1208,f321,f342]) ).
fof(f7615,plain,
( ~ sQ88_spl
| ~ sQ73_spl
| sQ177_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f7602,f3440,f1208,f321,f374]) ).
fof(f7616,plain,
( ~ sQ88_spl
| ~ sQ73_spl
| sQ228_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f7603,f3440,f1809,f321,f374]) ).
fof(f7621,plain,
( ~ sQ10_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f111,f634]) ).
fof(f7622,plain,
( ~ sQ10_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f111,f633]) ).
fof(f7623,plain,
( ~ sQ10_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f111,f632]) ).
fof(f7624,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ10_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f111,f956]) ).
fof(f7625,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ10_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f111,f957]) ).
fof(f7626,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ10_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f111,f1537]) ).
fof(f7627,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ10_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f111,f1538]) ).
fof(f7630,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ10_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f111,f1353]) ).
fof(f7631,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ10_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f111,f1352]) ).
fof(f7639,plain,
( ~ sQ30_spl
| ~ sQ10_spl
| sQ163_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f7624,f2989,f1115,f110,f179]) ).
fof(f7640,plain,
( ~ sQ30_spl
| ~ sQ10_spl
| sQ199_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f7625,f2989,f1450,f110,f179]) ).
fof(f7641,plain,
( ~ sQ90_spl
| ~ sQ10_spl
| sQ177_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f7626,f1544,f1208,f110,f381]) ).
fof(f7642,plain,
( ~ sQ90_spl
| ~ sQ10_spl
| sQ195_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f7627,f1544,f1429,f110,f381]) ).
fof(f7645,plain,
( ~ sQ50_spl
| ~ sQ10_spl
| sQ220_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f7630,f2627,f1718,f110,f248]) ).
fof(f7646,plain,
( ~ sQ50_spl
| ~ sQ10_spl
| sQ158_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f7631,f2627,f1043,f110,f248]) ).
fof(f7649,plain,
( ~ sQ73_spl
| ~ sQ433_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f7307,f322]) ).
fof(f7650,plain,
( ~ sQ73_spl
| ~ sQ433_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f7649,f248,f7306,f321]) ).
fof(f7651,plain,
( ~ sQ73_spl
| ~ sQ365_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f4154,f322]) ).
fof(f7652,plain,
( ~ sQ73_spl
| ~ sQ326_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f3341,f322]) ).
fof(f7657,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ45_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f728,f111]) ).
fof(f7658,plain,
( ~ sQ10_spl
| ~ sQ45_spl
| sQ199_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f7657,f3340,f1450,f227,f110]) ).
fof(f7659,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ45_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f727,f111]) ).
fof(f7660,plain,
( ~ sQ10_spl
| ~ sQ45_spl
| sQ144_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f7659,f3340,f820,f227,f110]) ).
fof(f7661,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ113_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1981,f322]) ).
fof(f7662,definition,
! [X0] :
( sQ438_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ438_spl])],[split_symbol_definition]) ).
fof(f7663,plain,
! [X0] :
( ~ sQ438_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f7662]) ).
fof(f7665,plain,
( ~ sQ73_spl
| ~ sQ113_spl
| sQ228_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f7661,f7662,f1809,f459,f321]) ).
fof(f7666,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ113_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1982,f322]) ).
fof(f7667,plain,
( ~ sQ73_spl
| ~ sQ113_spl
| sQ144_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f7666,f7662,f820,f459,f321]) ).
fof(f7672,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ55_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1327,f111]) ).
fof(f7673,plain,
( ~ sQ10_spl
| ~ sQ55_spl
| sQ163_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f7672,f1303,f1115,f264,f110]) ).
fof(f7674,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ55_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1328,f111]) ).
fof(f7675,plain,
( ~ sQ10_spl
| ~ sQ55_spl
| sQ220_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f7674,f1303,f1718,f264,f110]) ).
fof(f7676,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f136,f562]) ).
fof(f7677,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f136,f561]) ).
fof(f7678,plain,
( ~ sQ18_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f560]) ).
fof(f7700,plain,
( ~ sQ36_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f199,f876]) ).
fof(f7701,plain,
( ~ sQ36_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f199,f875]) ).
fof(f7702,plain,
( ~ sQ36_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f199,f874]) ).
fof(f7703,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ36_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f199,f1231]) ).
fof(f7704,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ36_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f199,f1230]) ).
fof(f7705,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ36_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f199,f999]) ).
fof(f7716,plain,
( ~ sQ61_spl
| ~ sQ36_spl
| sQ288_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f7703,f5751,f2546,f198,f283]) ).
fof(f7717,plain,
( ~ sQ61_spl
| ~ sQ36_spl
| sQ130_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f7704,f5751,f643,f198,f283]) ).
fof(f7718,plain,
( ~ sQ26_spl
| ~ sQ36_spl
| sQ132_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f7705,f5342,f657,f198,f166]) ).
fof(f7724,plain,
( ~ sQ4_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f91,f704]) ).
fof(f7725,plain,
( ~ sQ4_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f91,f703]) ).
fof(f7726,plain,
( ~ sQ4_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f91,f702]) ).
fof(f7727,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ4_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f91,f908]) ).
fof(f7736,plain,
( ~ sQ34_spl
| ~ sQ4_spl
| sQ199_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f7727,f5188,f1450,f90,f191]) ).
fof(f7740,plain,
( ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f218,f738]) ).
fof(f7741,plain,
( ~ sQ42_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f737]) ).
fof(f7744,plain,
( ~ sQ117_spl
| ~ sQ42_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f218,f1891]) ).
fof(f7745,plain,
( ~ sQ42_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f218,f736]) ).
fof(f7746,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ42_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f218,f2098]) ).
fof(f7747,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ42_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f218,f2099]) ).
fof(f7748,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ42_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f218,f1378]) ).
fof(f7749,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ42_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f218,f1377]) ).
fof(f7750,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ42_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f218,f679]) ).
fof(f7751,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ42_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f218,f678]) ).
fof(f7752,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ42_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f218,f1894]) ).
fof(f7753,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ42_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f218,f1895]) ).
fof(f7761,plain,
( ~ sQ117_spl
| ~ sQ42_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f7744,f1005,f217,f472]) ).
fof(f7762,plain,
( ~ sQ107_spl
| ~ sQ42_spl
| sQ134_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f7746,f3102,f764,f217,f440]) ).
fof(f7763,plain,
( ~ sQ107_spl
| ~ sQ42_spl
| sQ154_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f7747,f3102,f1005,f217,f440]) ).
fof(f7764,plain,
( ~ sQ97_spl
| ~ sQ42_spl
| sQ156_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f7748,f1666,f1015,f217,f403]) ).
fof(f7765,plain,
( ~ sQ97_spl
| ~ sQ42_spl
| sQ146_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f7749,f1666,f827,f217,f403]) ).
fof(f7766,plain,
( ~ sQ7_spl
| ~ sQ42_spl
| sQ140_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f7750,f761,f799,f217,f100]) ).
fof(f7767,plain,
( ~ sQ7_spl
| ~ sQ42_spl
| sQ134_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f7751,f761,f764,f217,f100]) ).
fof(f7768,definition,
! [X0] :
( sQ439_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ439_spl])],[split_symbol_definition]) ).
fof(f7769,plain,
! [X0] :
( ~ sQ439_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f7768]) ).
fof(f7771,plain,
( ~ sQ117_spl
| ~ sQ42_spl
| sQ128_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f7752,f7768,f553,f217,f472]) ).
fof(f7772,plain,
( ~ sQ117_spl
| ~ sQ42_spl
| sQ154_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f7753,f7768,f1005,f217,f472]) ).
fof(f7775,plain,
( ~ sQ10_spl
| ~ sQ393_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f4939,f111]) ).
fof(f7776,plain,
( ~ sQ10_spl
| ~ sQ393_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f7775,f87,f4938,f110]) ).
fof(f7798,plain,
( ~ sQ7_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f101,f677]) ).
fof(f7799,plain,
( ~ sQ7_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f101,f676]) ).
fof(f7800,plain,
( ~ sQ224_spl
| ~ sQ7_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f101,f1761]) ).
fof(f7801,plain,
( ~ sQ7_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f101,f675]) ).
fof(f7804,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ7_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f101,f1576]) ).
fof(f7805,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ7_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f101,f1575]) ).
fof(f7806,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ7_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f101,f1343]) ).
fof(f7807,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ7_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f101,f1342]) ).
fof(f7808,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ7_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f101,f2142]) ).
fof(f7809,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ7_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f101,f2143]) ).
fof(f7821,plain,
( ~ sQ87_spl
| ~ sQ7_spl
| sQ195_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f7804,f3849,f1429,f100,f371]) ).
fof(f7822,plain,
( ~ sQ87_spl
| ~ sQ7_spl
| sQ288_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f7805,f3849,f2546,f100,f371]) ).
fof(f7823,plain,
( ~ sQ52_spl
| ~ sQ7_spl
| sQ220_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f7806,f3205,f1718,f100,f254]) ).
fof(f7824,plain,
( ~ sQ52_spl
| ~ sQ7_spl
| sQ140_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f7807,f3205,f799,f100,f254]) ).
fof(f7825,plain,
( ~ sQ102_spl
| ~ sQ7_spl
| sQ140_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f7808,f3236,f799,f100,f424]) ).
fof(f7826,plain,
( ~ sQ102_spl
| ~ sQ7_spl
| sQ188_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f7809,f3236,f1394,f100,f424]) ).
fof(f7831,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f7832,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f7833,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f7834,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ34_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f192,f501]) ).
fof(f7835,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ34_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f192,f502]) ).
fof(f7847,plain,
( ~ sQ24_spl
| ~ sQ34_spl
| sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f7834,f1002,f1005,f191,f154]) ).
fof(f7848,plain,
( ~ sQ24_spl
| ~ sQ34_spl
| sQ140_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f7835,f1002,f799,f191,f154]) ).
fof(f7855,plain,
( ~ sQ68_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f306,f2344]) ).
fof(f7856,plain,
( ~ sQ68_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f306,f2343]) ).
fof(f7857,plain,
( ~ sQ68_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f306,f2342]) ).
fof(f7858,plain,
( ~ sQ186_spl
| ~ sQ68_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f306,f1320]) ).
fof(f7859,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ68_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f306,f757]) ).
fof(f7860,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ68_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f306,f756]) ).
fof(f7861,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f306,f2346]) ).
fof(f7862,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f306,f2345]) ).
fof(f7868,plain,
( ~ sQ38_spl
| ~ sQ68_spl
| sQ163_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f7859,f1123,f1115,f305,f204]) ).
fof(f7869,plain,
( ~ sQ38_spl
| ~ sQ68_spl
| sQ203_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f7860,f1123,f1521,f305,f204]) ).
fof(f7870,plain,
( ~ sQ68_spl
| sQ130_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f7861,f1165,f643,f305]) ).
fof(f7871,plain,
( ~ sQ68_spl
| sQ128_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f7862,f1165,f553,f305]) ).
fof(f7881,plain,
( ~ sQ10_spl
| ~ sQ269_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f2265,f111]) ).
fof(f7899,plain,
( ~ sQ7_spl
| ~ sQ107_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f2095,f101]) ).
fof(f7900,plain,
( ~ sQ7_spl
| ~ sQ107_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f7899,f1394,f440,f100]) ).
fof(f7901,plain,
( ~ sQ95_spl
| ~ sQ291_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f7285,f390,f2565,f397]) ).
fof(f7902,plain,
( ~ sQ351_spl
| ~ sQ106_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f6240,f418,f437,f3892]) ).
fof(f7911,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ99_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1360,f192]) ).
fof(f7912,plain,
( ~ sQ34_spl
| ~ sQ99_spl
| sQ154_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f7911,f2984,f1005,f409,f191]) ).
fof(f7913,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f1024]) ).
fof(f7914,plain,
( ~ sQ25_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f164,f1023]) ).
fof(f7915,plain,
( ~ sQ25_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1022]) ).
fof(f7916,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ25_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f164,f699]) ).
fof(f7928,plain,
( ~ sQ5_spl
| ~ sQ25_spl
| sQ140_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f7916,f3362,f799,f163,f94]) ).
fof(f7935,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f215,f5782]) ).
fof(f7936,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f215,f742]) ).
fof(f7937,plain,
( ~ sQ41_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f215,f741]) ).
fof(f7955,plain,
( ~ sQ47_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f234,f716]) ).
fof(f7956,plain,
( ~ sQ47_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f234,f715]) ).
fof(f7957,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f234,f521]) ).
fof(f7958,plain,
( ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f234,f714]) ).
fof(f7962,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ47_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f234,f524]) ).
fof(f7963,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ47_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f234,f525]) ).
fof(f7971,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f7957,f799,f233,f148]) ).
fof(f7974,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| sQ126_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f7962,f807,f507,f233,f148]) ).
fof(f7975,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| sQ140_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f7963,f807,f799,f233,f148]) ).
fof(f7978,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f755]) ).
fof(f7979,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f754]) ).
fof(f7980,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f753]) ).
fof(f7990,plain,
( ~ sQ56_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f268,f1316]) ).
fof(f7991,plain,
( ~ sQ56_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f268,f1315]) ).
fof(f7992,plain,
( ~ sQ56_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f268,f1314]) ).
fof(f7993,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f268,f1317]) ).
fof(f7994,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f268,f1318]) ).
fof(f8002,plain,
( ~ sQ56_spl
| sQ132_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f7993,f2753,f657,f267]) ).
fof(f8003,plain,
( ~ sQ56_spl
| sQ130_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f7994,f2753,f643,f267]) ).
fof(f8006,plain,
( ~ sQ56_spl
| ~ sQ351_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f3893,f268]) ).
fof(f8007,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ21_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f532,f268]) ).
fof(f8009,plain,
( ~ sQ56_spl
| ~ sQ21_spl
| sQ158_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f8007,f4499,f1043,f145,f267]) ).
fof(f8011,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ21_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f531,f268]) ).
fof(f8013,plain,
( ~ sQ56_spl
| ~ sQ21_spl
| sQ154_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f8011,f4499,f1005,f145,f267]) ).
fof(f8015,plain,
( ~ sQ41_spl
| ~ sQ343_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f3666,f215]) ).
fof(f8020,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ26_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f998,f268]) ).
fof(f8022,plain,
( ~ sQ56_spl
| ~ sQ26_spl
| sQ140_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f8020,f4457,f799,f166,f267]) ).
fof(f8024,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ26_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f999,f268]) ).
fof(f8026,plain,
( ~ sQ56_spl
| ~ sQ26_spl
| sQ163_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f8024,f4457,f1115,f166,f267]) ).
fof(f8032,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ111_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2037,f268]) ).
fof(f8034,plain,
( ~ sQ56_spl
| ~ sQ111_spl
| sQ288_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f8032,f1984,f2546,f453,f267]) ).
fof(f8036,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ111_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2038,f268]) ).
fof(f8038,plain,
( ~ sQ56_spl
| ~ sQ111_spl
| sQ144_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f8036,f1984,f820,f453,f267]) ).
fof(f8042,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ63_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1202,f205]) ).
fof(f8043,plain,
( ~ sQ38_spl
| ~ sQ63_spl
| sQ130_spl
| sQ411_spl ),
inference(split_clause,[status(thm)],[f8042,f5751,f643,f289,f204]) ).
fof(f8044,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ51_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1348,f268]) ).
fof(f8045,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ51_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1348,f215]) ).
fof(f8046,definition,
! [X0] :
( sQ440_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ440_spl])],[split_symbol_definition]) ).
fof(f8047,plain,
! [X0] :
( ~ sQ440_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f8046]) ).
fof(f8049,plain,
( ~ sQ56_spl
| ~ sQ51_spl
| sQ130_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f8044,f8046,f643,f251,f267]) ).
fof(f8050,plain,
( ~ sQ41_spl
| ~ sQ51_spl
| sQ288_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f8045,f2543,f2546,f251,f214]) ).
fof(f8051,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ116_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1907,f268]) ).
fof(f8052,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ116_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1907,f215]) ).
fof(f8053,definition,
! [X0] :
( sQ441_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ441_spl])],[split_symbol_definition]) ).
fof(f8054,plain,
! [X0] :
( ~ sQ441_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f8053]) ).
fof(f8056,plain,
( ~ sQ56_spl
| ~ sQ116_spl
| sQ156_spl
| sQ441_spl ),
inference(split_clause,[status(thm)],[f8051,f8053,f1015,f469,f267]) ).
fof(f8057,plain,
( ~ sQ41_spl
| ~ sQ116_spl
| sQ128_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f8052,f7768,f553,f469,f214]) ).
fof(f8067,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ79_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1630,f192]) ).
fof(f8068,plain,
( ~ sQ34_spl
| ~ sQ79_spl
| sQ140_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f8067,f1765,f799,f345,f191]) ).
fof(f8069,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ79_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1631,f192]) ).
fof(f8070,plain,
( ~ sQ34_spl
| ~ sQ79_spl
| sQ156_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f8069,f1765,f1015,f345,f191]) ).
fof(f8071,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ109_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2086,f192]) ).
fof(f8072,plain,
( ~ sQ34_spl
| ~ sQ109_spl
| sQ132_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f8071,f4800,f657,f446,f191]) ).
fof(f8075,plain,
( ~ sQ41_spl
| ~ sQ26_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f996,f215]) ).
fof(f8076,plain,
( ~ sQ41_spl
| ~ sQ26_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f8075,f1137,f166,f214]) ).
fof(f8077,plain,
( ~ sQ325_spl
| ~ sQ73_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f7599,f267,f321,f3335]) ).
fof(f8087,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f530]) ).
fof(f8088,plain,
( ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f529]) ).
fof(f8090,plain,
( ~ sQ21_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f528]) ).
fof(f8091,plain,
( ~ sQ300_spl
| ~ sQ21_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f146,f2779]) ).
fof(f8098,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ21_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f146,f999]) ).
fof(f8099,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ21_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f146,f998]) ).
fof(f8115,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| sQ199_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f8098,f2004,f1450,f145,f166]) ).
fof(f8116,plain,
( ~ sQ26_spl
| ~ sQ21_spl
| sQ169_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f8099,f2004,f1144,f145,f166]) ).
fof(f8123,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ51_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1347,f268]) ).
fof(f8125,plain,
( ~ sQ56_spl
| ~ sQ51_spl
| sQ140_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f8123,f8046,f799,f251,f267]) ).
fof(f8131,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ81_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1618,f268]) ).
fof(f8133,plain,
( ~ sQ56_spl
| ~ sQ81_spl
| sQ132_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f8131,f1650,f657,f352,f267]) ).
fof(f8138,plain,
( ~ sQ56_spl
| ~ sQ210_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1651,f268]) ).
fof(f8139,plain,
( ~ sQ56_spl
| ~ sQ106_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2103,f268]) ).
fof(f8140,plain,
( ~ sQ56_spl
| ~ sQ106_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f8139,f820,f437,f267]) ).
fof(f8141,plain,
( ~ sQ56_spl
| ~ sQ81_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1615,f268]) ).
fof(f8142,plain,
( ~ sQ56_spl
| ~ sQ81_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f8141,f1208,f352,f267]) ).
fof(f8143,plain,
( ~ sQ7_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f101,f677]) ).
fof(f8144,plain,
( ~ sQ7_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f101,f676]) ).
fof(f8145,plain,
( ~ sQ7_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f101,f675]) ).
fof(f8146,plain,
( ~ sQ375_spl
| ~ sQ7_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f101,f4458]) ).
fof(f8168,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f136,f562]) ).
fof(f8169,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f136,f561]) ).
fof(f8170,plain,
( ~ sQ287_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f136,f2544]) ).
fof(f8171,plain,
( ~ sQ18_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f560]) ).
fof(f8172,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ18_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f136,f1606]) ).
fof(f8173,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ18_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f136,f1605]) ).
fof(f8187,definition,
! [X0] :
( sQ442_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ442_spl])],[split_symbol_definition]) ).
fof(f8188,plain,
! [X0] :
( ~ sQ442_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f8187]) ).
fof(f8190,plain,
( ~ sQ83_spl
| ~ sQ18_spl
| sQ195_spl
| sQ442_spl ),
inference(split_clause,[status(thm)],[f8172,f8187,f1429,f135,f358]) ).
fof(f8191,plain,
( ~ sQ83_spl
| ~ sQ18_spl
| sQ134_spl
| sQ442_spl ),
inference(split_clause,[status(thm)],[f8173,f8187,f764,f135,f358]) ).
fof(f8200,plain,
( ~ sQ97_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f404,f1376]) ).
fof(f8201,plain,
( ~ sQ97_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f404,f1375]) ).
fof(f8202,plain,
( ~ sQ331_spl
| ~ sQ97_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f404,f3441]) ).
fof(f8205,plain,
( ~ sQ97_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f404,f1374]) ).
fof(f8206,plain,
( ~ sQ306_spl
| ~ sQ97_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f404,f2980]) ).
fof(f8208,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ97_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f404,f1075]) ).
fof(f8209,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ97_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f404,f2142]) ).
fof(f8210,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ97_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f404,f2143]) ).
fof(f8213,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ97_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f404,f679]) ).
fof(f8214,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ97_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f404,f678]) ).
fof(f8220,plain,
( ~ sQ306_spl
| ~ sQ97_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f8206,f358,f403,f2979]) ).
fof(f8222,plain,
( ~ sQ67_spl
| ~ sQ97_spl
| sQ203_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f8208,f1422,f1521,f403,f302]) ).
fof(f8223,plain,
( ~ sQ102_spl
| ~ sQ97_spl
| sQ169_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f8209,f2176,f1144,f403,f424]) ).
fof(f8224,plain,
( ~ sQ102_spl
| ~ sQ97_spl
| sQ146_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f8210,f2176,f827,f403,f424]) ).
fof(f8227,plain,
( ~ sQ7_spl
| ~ sQ97_spl
| sQ167_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f8213,f2778,f1137,f403,f100]) ).
fof(f8228,plain,
( ~ sQ7_spl
| ~ sQ97_spl
| sQ136_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f8214,f2778,f771,f403,f100]) ).
fof(f8233,plain,
( ~ sQ78_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f343,f1702]) ).
fof(f8234,plain,
( ~ sQ78_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f343,f1701]) ).
fof(f8235,plain,
( ~ sQ78_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f343,f1700]) ).
fof(f8236,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ78_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f343,f1037]) ).
fof(f8237,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ78_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f343,f1038]) ).
fof(f8245,plain,
( ~ sQ73_spl
| ~ sQ78_spl
| sQ188_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f8236,f3816,f1394,f342,f321]) ).
fof(f8246,plain,
( ~ sQ73_spl
| ~ sQ78_spl
| sQ203_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f8237,f3816,f1521,f342,f321]) ).
fof(f8249,plain,
( ~ sQ73_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f322,f1036]) ).
fof(f8250,plain,
( ~ sQ73_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f322,f1035]) ).
fof(f8251,plain,
( ~ sQ135_spl
| ~ sQ73_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f322,f769]) ).
fof(f8252,plain,
( ~ sQ73_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f322,f1034]) ).
fof(f8266,plain,
( ~ sQ73_spl
| ~ sQ197_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f1443,f322]) ).
fof(f8267,plain,
( ~ sQ73_spl
| ~ sQ197_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f8266,f254,f1442,f321]) ).
fof(f8273,plain,
( ~ sQ73_spl
| ~ sQ217_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f1706,f322]) ).
fof(f8294,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ53_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1337,f322]) ).
fof(f8295,plain,
( ~ sQ73_spl
| ~ sQ53_spl
| sQ169_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f8294,f5517,f1144,f257,f321]) ).
fof(f8296,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ53_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1338,f322]) ).
fof(f8297,plain,
( ~ sQ73_spl
| ~ sQ53_spl
| sQ130_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f8296,f5517,f643,f257,f321]) ).
fof(f8298,plain,
( ~ sQ34_spl
| ~ sQ84_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1596,f192]) ).
fof(f8299,plain,
( ~ sQ34_spl
| ~ sQ84_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f8298,f1015,f361,f191]) ).
fof(f8317,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f1024]) ).
fof(f8318,plain,
( ~ sQ25_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f164,f1023]) ).
fof(f8319,plain,
( ~ sQ100_spl
| ~ sQ25_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f164,f2152]) ).
fof(f8320,plain,
( ~ sQ25_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1022]) ).
fof(f8330,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ25_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f164,f2156]) ).
fof(f8339,plain,
( ~ sQ100_spl
| ~ sQ25_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f8319,f1005,f163,f418]) ).
fof(f8348,plain,
( ~ sQ100_spl
| ~ sQ25_spl
| sQ154_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f8330,f3906,f1005,f163,f418]) ).
fof(f8352,plain,
( ~ sQ47_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f234,f716]) ).
fof(f8353,plain,
( ~ sQ47_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f234,f715]) ).
fof(f8354,plain,
( ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f234,f714]) ).
fof(f8365,plain,
( ~ sQ1_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f82,f2291]) ).
fof(f8366,plain,
( ~ sQ1_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f82,f2290]) ).
fof(f8367,plain,
( ~ sQ1_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f82,f2289]) ).
fof(f8368,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ1_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f82,f1383]) ).
fof(f8369,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ1_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f82,f1382]) ).
fof(f8377,plain,
( ~ sQ96_spl
| ~ sQ1_spl
| sQ195_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f8368,f5694,f1429,f81,f400]) ).
fof(f8378,plain,
( ~ sQ96_spl
| ~ sQ1_spl
| sQ188_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f8369,f5694,f1394,f81,f400]) ).
fof(f8385,plain,
( ~ sQ47_spl
| ~ sQ377_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f4538,f234]) ).
fof(f8392,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ42_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f740,f234]) ).
fof(f8393,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| sQ132_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f8392,f824,f657,f217,f233]) ).
fof(f8394,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ107_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2099,f234]) ).
fof(f8395,plain,
( ~ sQ47_spl
| ~ sQ107_spl
| sQ154_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f8394,f4021,f1005,f440,f233]) ).
fof(f8396,plain,
( ~ sQ384_spl
| ~ sQ45_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f7561,f207,f227,f4679]) ).
fof(f8397,plain,
( ~ sQ190_spl
| ~ sQ94_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f1478,f355,f393,f1406]) ).
fof(f8398,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ11_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f628,f82]) ).
fof(f8399,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sQ138_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f8398,f2328,f786,f113,f81]) ).
fof(f8400,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ11_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f627,f82]) ).
fof(f8401,plain,
( ~ sQ1_spl
| ~ sQ11_spl
| sQ220_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f8400,f2328,f1718,f113,f81]) ).
fof(f8406,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ41_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f745,f82]) ).
fof(f8407,plain,
( ~ sQ1_spl
| ~ sQ41_spl
| sQ199_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f8406,f2279,f1450,f214,f81]) ).
fof(f8408,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ41_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f744,f82]) ).
fof(f8409,plain,
( ~ sQ1_spl
| ~ sQ41_spl
| sQ195_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f8408,f2279,f1429,f214,f81]) ).
fof(f8410,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ116_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1908,f82]) ).
fof(f8411,plain,
( ~ sQ1_spl
| ~ sQ116_spl
| sQ188_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f8410,f2318,f1394,f469,f81]) ).
fof(f8412,plain,
( ~ sQ78_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f343,f1702]) ).
fof(f8413,plain,
( ~ sQ78_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f343,f1701]) ).
fof(f8414,plain,
( ~ sQ78_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f343,f1700]) ).
fof(f8441,plain,
( ~ sQ32_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f186,f932]) ).
fof(f8442,plain,
( ~ sQ32_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f186,f931]) ).
fof(f8443,plain,
( ~ sQ437_spl
| ~ sQ32_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f186,f7553]) ).
fof(f8444,plain,
( ~ sQ32_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f186,f930]) ).
fof(f8454,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f726]) ).
fof(f8455,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f725]) ).
fof(f8457,plain,
( ~ sQ246_spl
| ~ sQ45_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f228,f2024]) ).
fof(f8459,plain,
( ~ sQ319_spl
| ~ sQ45_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f228,f3232]) ).
fof(f8461,plain,
( ~ sQ238_spl
| ~ sQ45_spl
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f228,f1953]) ).
fof(f8462,plain,
( ~ sQ409_spl
| ~ sQ45_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f228,f5700]) ).
fof(f8463,plain,
( ~ sQ45_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f228,f724]) ).
fof(f8465,plain,
( ~ sQ432_spl
| ~ sQ45_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f228,f7254]) ).
fof(f8466,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ45_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f228,f1085]) ).
fof(f8467,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ45_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f228,f1084]) ).
fof(f8468,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ45_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f228,f2062]) ).
fof(f8469,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ45_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f228,f2061]) ).
fof(f8470,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ45_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f228,f2315]) ).
fof(f8471,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ45_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f228,f2316]) ).
fof(f8472,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ45_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f228,f750]) ).
fof(f8475,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ45_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f228,f1473]) ).
fof(f8485,plain,
( ~ sQ65_spl
| ~ sQ45_spl
| sQ288_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f8466,f7235,f2546,f227,f296]) ).
fof(f8486,plain,
( ~ sQ65_spl
| ~ sQ45_spl
| sQ149_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f8467,f7235,f846,f227,f296]) ).
fof(f8487,definition,
! [X0] :
( sQ443_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ443_spl])],[split_symbol_definition]) ).
fof(f8488,plain,
! [X0] :
( ~ sQ443_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f8487]) ).
fof(f8490,plain,
( ~ sQ110_spl
| ~ sQ45_spl
| sQ154_spl
| sQ443_spl ),
inference(split_clause,[status(thm)],[f8468,f8487,f1005,f227,f450]) ).
fof(f8491,plain,
( ~ sQ110_spl
| ~ sQ45_spl
| sQ228_spl
| sQ443_spl ),
inference(split_clause,[status(thm)],[f8469,f8487,f1809,f227,f450]) ).
fof(f8492,plain,
( ~ sQ0_spl
| ~ sQ45_spl
| sQ169_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f8470,f4556,f1144,f227,f78]) ).
fof(f8493,plain,
( ~ sQ0_spl
| ~ sQ45_spl
| sQ140_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f8471,f4556,f799,f227,f78]) ).
fof(f8494,plain,
( ~ sQ40_spl
| ~ sQ45_spl
| sQ132_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f8472,f824,f657,f227,f211]) ).
fof(f8497,plain,
( ~ sQ95_spl
| ~ sQ45_spl
| sQ126_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f8475,f1438,f507,f227,f397]) ).
fof(f8502,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f176,f967]) ).
fof(f8503,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f176,f966]) ).
fof(f8504,plain,
( ~ sQ29_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f176,f965]) ).
fof(f8505,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ29_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f176,f501]) ).
fof(f8506,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ29_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f176,f502]) ).
fof(f8507,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ29_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f176,f1876]) ).
fof(f8508,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ29_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f176,f1877]) ).
fof(f8509,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ29_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f176,f547]) ).
fof(f8510,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ29_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f176,f548]) ).
fof(f8518,plain,
( ~ sQ24_spl
| ~ sQ29_spl
| sQ188_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f8505,f2004,f1394,f175,f154]) ).
fof(f8519,plain,
( ~ sQ24_spl
| ~ sQ29_spl
| sQ140_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f8506,f2004,f799,f175,f154]) ).
fof(f8520,plain,
( ~ sQ119_spl
| ~ sQ29_spl
| sQ195_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f8507,f5326,f1429,f175,f478]) ).
fof(f8521,plain,
( ~ sQ119_spl
| ~ sQ29_spl
| sQ154_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f8508,f5326,f1005,f175,f478]) ).
fof(f8522,plain,
( ~ sQ19_spl
| ~ sQ29_spl
| sQ195_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f8509,f2425,f1429,f175,f138]) ).
fof(f8523,plain,
( ~ sQ19_spl
| ~ sQ29_spl
| sQ140_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f8510,f2425,f799,f175,f138]) ).
fof(f8526,plain,
( ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f265,f1326]) ).
fof(f8527,plain,
( ~ sQ55_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f265,f1325]) ).
fof(f8528,plain,
( ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f265,f1324]) ).
fof(f8529,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ55_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f265,f750]) ).
fof(f8530,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ55_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f265,f749]) ).
fof(f8531,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f265,f1328]) ).
fof(f8532,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f265,f1327]) ).
fof(f8538,plain,
( ~ sQ40_spl
| ~ sQ55_spl
| sQ163_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f8529,f1319,f1115,f264,f211]) ).
fof(f8539,plain,
( ~ sQ40_spl
| ~ sQ55_spl
| sQ156_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f8530,f1319,f1015,f264,f211]) ).
fof(f8540,plain,
( ~ sQ55_spl
| sQ130_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f8531,f2753,f643,f264]) ).
fof(f8541,plain,
( ~ sQ55_spl
| sQ132_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f8532,f2753,f657,f264]) ).
fof(f8542,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ10_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f635,f265]) ).
fof(f8543,plain,
( ~ sQ55_spl
| ~ sQ10_spl
| sQ288_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f8542,f1303,f2546,f110,f264]) ).
fof(f8544,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ10_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f636,f265]) ).
fof(f8545,plain,
( ~ sQ55_spl
| ~ sQ10_spl
| sQ158_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f8544,f1303,f1043,f110,f264]) ).
fof(f8558,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ112_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2021,f186]) ).
fof(f8559,definition,
! [X0] :
( sQ444_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ444_spl])],[split_symbol_definition]) ).
fof(f8560,plain,
! [X0] :
( ~ sQ444_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f8559]) ).
fof(f8562,plain,
( ~ sQ32_spl
| ~ sQ112_spl
| sQ288_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f8558,f8559,f2546,f456,f185]) ).
fof(f8563,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ113_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1981,f343]) ).
fof(f8564,plain,
( ~ sQ78_spl
| ~ sQ113_spl
| sQ220_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f8563,f3591,f1718,f459,f342]) ).
fof(f8565,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ113_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1982,f343]) ).
fof(f8566,plain,
( ~ sQ78_spl
| ~ sQ113_spl
| sQ146_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f8565,f3591,f827,f459,f342]) ).
fof(f8567,plain,
( ~ sQ91_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f385,f2366]) ).
fof(f8568,plain,
( ~ sQ96_spl
| ~ sQ91_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f385,f1380]) ).
fof(f8569,plain,
( ~ sQ91_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f385,f2365]) ).
fof(f8570,plain,
( ~ sQ91_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f385,f2364]) ).
fof(f8571,plain,
( ~ sQ378_spl
| ~ sQ91_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f385,f4543]) ).
fof(f8572,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ91_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f385,f1079]) ).
fof(f8574,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ91_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f385,f1057]) ).
fof(f8575,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ91_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f385,f1058]) ).
fof(f8576,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ91_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f385,f627]) ).
fof(f8577,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ91_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f385,f628]) ).
fof(f8578,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ91_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f385,f2293]) ).
fof(f8580,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ91_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f385,f1383]) ).
fof(f8581,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ91_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f385,f1382]) ).
fof(f8582,plain,
! [X0] :
( ~ sQ91_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f385,f2368]) ).
fof(f8589,plain,
( ~ sQ96_spl
| ~ sQ91_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f8568,f827,f384,f400]) ).
fof(f8590,definition,
! [X0] :
( sQ445_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ445_spl])],[split_symbol_definition]) ).
fof(f8591,plain,
! [X0] :
( ~ sQ445_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f8590]) ).
fof(f8593,plain,
( ~ sQ66_spl
| ~ sQ91_spl
| sQ128_spl
| sQ445_spl ),
inference(split_clause,[status(thm)],[f8572,f8590,f553,f384,f299]) ).
fof(f8595,plain,
( ~ sQ71_spl
| ~ sQ91_spl
| sQ146_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f8574,f5108,f827,f384,f315]) ).
fof(f8596,plain,
( ~ sQ71_spl
| ~ sQ91_spl
| sQ203_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f8575,f5108,f1521,f384,f315]) ).
fof(f8597,plain,
( ~ sQ11_spl
| ~ sQ91_spl
| sQ203_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f8576,f1544,f1521,f384,f113]) ).
fof(f8598,plain,
( ~ sQ11_spl
| ~ sQ91_spl
| sQ167_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f8577,f1544,f1137,f384,f113]) ).
fof(f8599,plain,
( ~ sQ1_spl
| ~ sQ91_spl
| sQ167_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f8578,f4542,f1137,f384,f81]) ).
fof(f8601,plain,
( ~ sQ96_spl
| ~ sQ91_spl
| sQ128_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f8580,f7193,f553,f384,f400]) ).
fof(f8602,plain,
( ~ sQ96_spl
| ~ sQ91_spl
| sQ146_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f8581,f7193,f827,f384,f400]) ).
fof(f8603,plain,
( ~ sQ91_spl
| sQ128_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f8582,f1497,f553,f384]) ).
fof(f8605,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f667]) ).
fof(f8606,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f666]) ).
fof(f8607,plain,
( ~ sQ8_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f104,f665]) ).
fof(f8608,plain,
( ~ sQ198_spl
| ~ sQ8_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f104,f1448]) ).
fof(f8611,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ8_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f104,f1703]) ).
fof(f8612,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ8_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f104,f1704]) ).
fof(f8620,plain,
( ~ sQ78_spl
| ~ sQ8_spl
| sQ140_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f8611,f1710,f799,f103,f342]) ).
fof(f8621,plain,
( ~ sQ78_spl
| ~ sQ8_spl
| sQ195_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f8612,f1710,f1429,f103,f342]) ).
fof(f8622,plain,
( ~ sQ91_spl
| ~ sQ445_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f8591,f385]) ).
fof(f8624,plain,
( ~ sQ91_spl
| ~ sQ204_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1540,f385]) ).
fof(f8629,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ63_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1203,f104]) ).
fof(f8630,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ63_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1203,f343]) ).
fof(f8631,plain,
( ~ sQ8_spl
| ~ sQ63_spl
| sQ220_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f8629,f3212,f1718,f289,f103]) ).
fof(f8632,plain,
( ~ sQ78_spl
| ~ sQ63_spl
| sQ203_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f8630,f5968,f1521,f289,f342]) ).
fof(f8633,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ63_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1202,f104]) ).
fof(f8634,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ63_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1202,f343]) ).
fof(f8635,plain,
( ~ sQ8_spl
| ~ sQ63_spl
| sQ288_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f8633,f3212,f2546,f289,f103]) ).
fof(f8636,plain,
( ~ sQ78_spl
| ~ sQ63_spl
| sQ220_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f8634,f5968,f1718,f289,f342]) ).
fof(f8637,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ121_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1856,f385]) ).
fof(f8638,definition,
! [X0] :
( sQ446_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ446_spl])],[split_symbol_definition]) ).
fof(f8639,plain,
! [X0] :
( ~ sQ446_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f8638]) ).
fof(f8641,plain,
( ~ sQ91_spl
| ~ sQ121_spl
| sQ146_spl
| sQ446_spl ),
inference(split_clause,[status(thm)],[f8637,f8638,f827,f485,f384]) ).
fof(f8642,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ83_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1605,f104]) ).
fof(f8643,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ83_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1605,f343]) ).
fof(f8644,plain,
( ~ sQ8_spl
| ~ sQ83_spl
| sQ132_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f8642,f3197,f657,f358,f103]) ).
fof(f8645,plain,
( ~ sQ78_spl
| ~ sQ83_spl
| sQ199_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f8643,f3809,f1450,f358,f342]) ).
fof(f8647,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ83_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1606,f343]) ).
fof(f8649,plain,
( ~ sQ78_spl
| ~ sQ83_spl
| sQ128_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f8647,f3809,f553,f358,f342]) ).
fof(f8650,plain,
( ~ sQ91_spl
| ~ sQ66_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1076,f385]) ).
fof(f8651,plain,
( ~ sQ91_spl
| ~ sQ66_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f8650,f1521,f299,f384]) ).
fof(f8653,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ68_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2345,f343]) ).
fof(f8655,plain,
( ~ sQ78_spl
| ~ sQ68_spl
| sQ195_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f8653,f4397,f1429,f305,f342]) ).
fof(f8657,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ68_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2346,f343]) ).
fof(f8659,plain,
( ~ sQ78_spl
| ~ sQ68_spl
| sQ203_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f8657,f4397,f1521,f305,f342]) ).
fof(f8660,plain,
( ~ sQ8_spl
| ~ sQ83_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1602,f104]) ).
fof(f8661,plain,
( ~ sQ8_spl
| ~ sQ83_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f8660,f1429,f358,f103]) ).
fof(f8670,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ73_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1038,f104]) ).
fof(f8672,plain,
( ~ sQ8_spl
| ~ sQ73_spl
| sQ220_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f8670,f1039,f1718,f321,f103]) ).
fof(f8674,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ73_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1037,f104]) ).
fof(f8676,plain,
( ~ sQ8_spl
| ~ sQ73_spl
| sQ154_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f8674,f1039,f1005,f321,f103]) ).
fof(f8678,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ53_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1337,f104]) ).
fof(f8679,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ53_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1337,f343]) ).
fof(f8680,plain,
( ~ sQ8_spl
| ~ sQ53_spl
| sQ140_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f8678,f3205,f799,f257,f103]) ).
fof(f8681,plain,
( ~ sQ78_spl
| ~ sQ53_spl
| sQ138_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f8679,f3624,f786,f257,f342]) ).
fof(f8682,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ53_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1338,f104]) ).
fof(f8683,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ53_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1338,f343]) ).
fof(f8684,plain,
( ~ sQ8_spl
| ~ sQ53_spl
| sQ220_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f8682,f3205,f1718,f257,f103]) ).
fof(f8685,plain,
( ~ sQ78_spl
| ~ sQ53_spl
| sQ203_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f8683,f3624,f1521,f257,f342]) ).
fof(f8686,plain,
( ~ sQ91_spl
| ~ sQ279_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f2371,f385]) ).
fof(f8687,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f1024]) ).
fof(f8688,plain,
( ~ sQ25_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f164,f1023]) ).
fof(f8689,plain,
( ~ sQ25_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1022]) ).
fof(f8711,plain,
( ~ sQ47_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f234,f716]) ).
fof(f8712,plain,
( ~ sQ47_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f234,f715]) ).
fof(f8713,plain,
( ~ sQ122_spl
| ~ sQ47_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f234,f1842]) ).
fof(f8714,plain,
( ~ sQ157_spl
| ~ sQ47_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f234,f1040]) ).
fof(f8715,plain,
( ~ sQ349_spl
| ~ sQ47_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f234,f3817]) ).
fof(f8716,plain,
( ~ sQ406_spl
| ~ sQ47_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f234,f5518]) ).
fof(f8717,plain,
( ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f234,f714]) ).
fof(f8721,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ47_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f234,f620]) ).
fof(f8722,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ47_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f234,f619]) ).
fof(f8724,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ47_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f234,f1846]) ).
fof(f8727,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ47_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f234,f1576]) ).
fof(f8728,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ47_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f234,f1575]) ).
fof(f8738,plain,
( ~ sQ122_spl
| ~ sQ47_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f8713,f1005,f233,f488]) ).
fof(f8739,plain,
( ~ sQ157_spl
| ~ sQ47_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f8714,f191,f233,f1039]) ).
fof(f8742,plain,
( ~ sQ12_spl
| ~ sQ47_spl
| sQ140_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f8721,f3340,f799,f233,f116]) ).
fof(f8743,plain,
( ~ sQ12_spl
| ~ sQ47_spl
| sQ228_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f8722,f3340,f1809,f233,f116]) ).
fof(f8745,plain,
( ~ sQ122_spl
| ~ sQ47_spl
| sQ154_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f8724,f7253,f1005,f233,f488]) ).
fof(f8748,plain,
( ~ sQ87_spl
| ~ sQ47_spl
| sQ156_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f8727,f3345,f1015,f233,f371]) ).
fof(f8749,plain,
( ~ sQ87_spl
| ~ sQ47_spl
| sQ228_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f8728,f3345,f1809,f233,f371]) ).
fof(f8754,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f8755,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f8756,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f8775,plain,
( ~ sQ102_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f425,f2141]) ).
fof(f8776,plain,
( ~ sQ102_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f425,f2140]) ).
fof(f8777,plain,
( ~ sQ102_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f425,f2139]) ).
fof(f8778,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ102_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f425,f1516]) ).
fof(f8779,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ102_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f425,f1517]) ).
fof(f8780,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ102_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f425,f740]) ).
fof(f8781,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ102_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f425,f739]) ).
fof(f8782,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ102_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f425,f679]) ).
fof(f8783,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ102_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f425,f678]) ).
fof(f8791,plain,
( ~ sQ92_spl
| ~ sQ102_spl
| sQ195_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f8778,f3665,f1429,f424,f387]) ).
fof(f8792,plain,
( ~ sQ92_spl
| ~ sQ102_spl
| sQ149_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f8779,f3665,f846,f424,f387]) ).
fof(f8793,plain,
( ~ sQ42_spl
| ~ sQ102_spl
| sQ136_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f8780,f4190,f771,f424,f217]) ).
fof(f8794,plain,
( ~ sQ42_spl
| ~ sQ102_spl
| sQ195_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f8781,f4190,f1429,f424,f217]) ).
fof(f8795,plain,
( ~ sQ7_spl
| ~ sQ102_spl
| sQ169_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f8782,f3236,f1144,f424,f100]) ).
fof(f8796,plain,
( ~ sQ7_spl
| ~ sQ102_spl
| sQ199_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f8783,f3236,f1450,f424,f100]) ).
fof(f8799,plain,
( ~ sQ319_spl
| ~ sQ45_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f8459,f191,f227,f3231]) ).
fof(f8800,plain,
( ~ sQ114_spl
| ~ sQ219_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f1924,f421,f1715,f462]) ).
fof(f8809,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ114_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1922,f192]) ).
fof(f8810,plain,
( ~ sQ34_spl
| ~ sQ114_spl
| sQ288_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f8809,f8559,f2546,f462,f191]) ).
fof(f8811,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ114_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1923,f192]) ).
fof(f8812,plain,
( ~ sQ34_spl
| ~ sQ114_spl
| sQ154_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f8811,f8559,f1005,f462,f191]) ).
fof(f8813,plain,
( ~ sQ34_spl
| ~ sQ39_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f5727,f192]) ).
fof(f8814,plain,
( ~ sQ34_spl
| ~ sQ39_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f8813,f2546,f207,f191]) ).
fof(f8815,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f530]) ).
fof(f8816,plain,
( ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f529]) ).
fof(f8818,plain,
( ~ sQ21_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f528]) ).
fof(f8840,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f726]) ).
fof(f8841,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f725]) ).
fof(f8843,plain,
( ~ sQ70_spl
| ~ sQ45_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f228,f1059]) ).
fof(f8844,plain,
( ~ sQ45_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f228,f724]) ).
fof(f8845,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ45_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f228,f1781]) ).
fof(f8846,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ45_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f228,f1782]) ).
fof(f8847,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ45_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f228,f1537]) ).
fof(f8848,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ45_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f228,f1538]) ).
fof(f8851,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ45_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f228,f1062]) ).
fof(f8852,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ45_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f228,f1063]) ).
fof(f8860,plain,
( ~ sQ70_spl
| ~ sQ45_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f8843,f2546,f227,f312]) ).
fof(f8861,plain,
( ~ sQ75_spl
| ~ sQ45_spl
| sQ169_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f8845,f1705,f1144,f227,f333]) ).
fof(f8862,plain,
( ~ sQ75_spl
| ~ sQ45_spl
| sQ156_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f8846,f1705,f1015,f227,f333]) ).
fof(f8863,plain,
( ~ sQ90_spl
| ~ sQ45_spl
| sQ149_spl
| sQ425_spl ),
inference(split_clause,[status(thm)],[f8847,f7001,f846,f227,f381]) ).
fof(f8864,plain,
( ~ sQ90_spl
| ~ sQ45_spl
| sQ156_spl
| sQ425_spl ),
inference(split_clause,[status(thm)],[f8848,f7001,f1015,f227,f381]) ).
fof(f8867,plain,
( ~ sQ70_spl
| ~ sQ45_spl
| sQ126_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f8851,f5119,f507,f227,f312]) ).
fof(f8868,plain,
( ~ sQ70_spl
| ~ sQ45_spl
| sQ288_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f8852,f5119,f2546,f227,f312]) ).
fof(f8880,plain,
( ~ sQ21_spl
| ~ sQ221_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f1746,f146]) ).
fof(f8882,plain,
( ~ sQ21_spl
| ~ sQ196_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f1439,f146]) ).
fof(f8883,plain,
( ~ sQ21_spl
| ~ sQ259_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f2190,f146]) ).
fof(f8900,plain,
( ~ sQ45_spl
| ~ sQ95_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1470,f228]) ).
fof(f8901,plain,
( ~ sQ45_spl
| ~ sQ95_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f8900,f1015,f397,f227]) ).
fof(f8906,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ15_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f592,f228]) ).
fof(f8907,plain,
( ~ sQ45_spl
| ~ sQ15_spl
| sQ140_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f8906,f4094,f799,f126,f227]) ).
fof(f8908,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ15_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f591,f228]) ).
fof(f8909,plain,
( ~ sQ45_spl
| ~ sQ15_spl
| sQ149_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f8908,f4094,f846,f126,f227]) ).
fof(f8910,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ60_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1261,f228]) ).
fof(f8911,plain,
( ~ sQ45_spl
| ~ sQ60_spl
| sQ288_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f8910,f1245,f2546,f280,f227]) ).
fof(f8912,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ60_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1260,f228]) ).
fof(f8913,plain,
( ~ sQ45_spl
| ~ sQ60_spl
| sQ228_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f8912,f1245,f1809,f280,f227]) ).
fof(f8918,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ85_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1595,f228]) ).
fof(f8919,plain,
( ~ sQ45_spl
| ~ sQ85_spl
| sQ156_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f8918,f3345,f1015,f365,f227]) ).
fof(f8920,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ85_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1594,f228]) ).
fof(f8921,plain,
( ~ sQ45_spl
| ~ sQ85_spl
| sQ228_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f8920,f3345,f1809,f365,f227]) ).
fof(f8930,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ50_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1352,f228]) ).
fof(f8931,plain,
( ~ sQ45_spl
| ~ sQ50_spl
| sQ169_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f8930,f1442,f1144,f248,f227]) ).
fof(f8932,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ50_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1353,f228]) ).
fof(f8933,plain,
( ~ sQ45_spl
| ~ sQ50_spl
| sQ288_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f8932,f1442,f2546,f248,f227]) ).
fof(f8942,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f667]) ).
fof(f8943,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f666]) ).
fof(f8944,plain,
( ~ sQ8_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f104,f665]) ).
fof(f8946,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ8_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f104,f2138]) ).
fof(f8947,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ8_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f104,f2137]) ).
fof(f8955,plain,
( ~ sQ103_spl
| ~ sQ8_spl
| sQ188_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f8946,f3236,f1394,f103,f427]) ).
fof(f8956,plain,
( ~ sQ103_spl
| ~ sQ8_spl
| sQ140_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f8947,f3236,f799,f103,f427]) ).
fof(f8959,plain,
( ~ sQ124_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f495,f1803]) ).
fof(f8960,plain,
( ~ sQ124_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f495,f1802]) ).
fof(f8961,plain,
( ~ sQ159_spl
| ~ sQ124_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f495,f1094]) ).
fof(f8962,plain,
( ~ sQ223_spl
| ~ sQ124_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f495,f1756]) ).
fof(f8963,plain,
( ~ sQ237_spl
| ~ sQ124_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f495,f1949]) ).
fof(f8964,plain,
( ~ sQ139_spl
| ~ sQ124_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f495,f797]) ).
fof(f8965,plain,
( ~ sQ283_spl
| ~ sQ124_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f495,f2462]) ).
fof(f8966,plain,
( ~ sQ243_spl
| ~ sQ124_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f495,f1995]) ).
fof(f8967,plain,
( ~ sQ124_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f495,f1801]) ).
fof(f8968,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ124_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f495,f1031]) ).
fof(f8969,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ124_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f495,f1030]) ).
fof(f8970,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f495,f1805]) ).
fof(f8972,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ124_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f495,f908]) ).
fof(f8979,plain,
( ~ sQ74_spl
| ~ sQ124_spl
| sQ228_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f8968,f5522,f1809,f494,f324]) ).
fof(f8980,plain,
( ~ sQ74_spl
| ~ sQ124_spl
| sQ126_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f8969,f5522,f507,f494,f324]) ).
fof(f8981,definition,
! [X0] :
( sQ447_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ447_spl])],[split_symbol_definition]) ).
fof(f8982,plain,
! [X0] :
( ~ sQ447_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f8981]) ).
fof(f8984,plain,
( ~ sQ124_spl
| sQ126_spl
| sQ447_spl ),
inference(split_clause,[status(thm)],[f8970,f8981,f507,f494]) ).
fof(f8986,plain,
( ~ sQ34_spl
| ~ sQ124_spl
| sQ136_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f8972,f1942,f771,f494,f191]) ).
fof(f8989,plain,
( ~ sQ45_spl
| ~ sQ432_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f7254,f228]) ).
fof(f8990,plain,
( ~ sQ21_spl
| ~ sQ408_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f5695,f146]) ).
fof(f8995,plain,
( ~ sQ45_spl
| ~ sQ291_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f2566,f228]) ).
fof(f8996,plain,
( ~ sQ45_spl
| ~ sQ384_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f4680,f228]) ).
fof(f9033,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ89_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1553,f192]) ).
fof(f9034,definition,
! [X0] :
( sQ448_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ448_spl])],[split_symbol_definition]) ).
fof(f9035,plain,
! [X0] :
( ~ sQ448_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f9034]) ).
fof(f9037,plain,
( ~ sQ34_spl
| ~ sQ89_spl
| sQ288_spl
| sQ448_spl ),
inference(split_clause,[status(thm)],[f9033,f9034,f2546,f377,f191]) ).
fof(f9038,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ89_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1554,f192]) ).
fof(f9039,plain,
( ~ sQ34_spl
| ~ sQ89_spl
| sQ156_spl
| sQ448_spl ),
inference(split_clause,[status(thm)],[f9038,f9034,f1015,f377,f191]) ).
fof(f9040,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ115_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1917,f228]) ).
fof(f9041,plain,
( ~ sQ45_spl
| ~ sQ115_spl
| sQ149_spl
| sQ428_spl ),
inference(split_clause,[status(thm)],[f9040,f7159,f846,f466,f227]) ).
fof(f9042,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ115_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1918,f228]) ).
fof(f9043,plain,
( ~ sQ45_spl
| ~ sQ115_spl
| sQ154_spl
| sQ428_spl ),
inference(split_clause,[status(thm)],[f9042,f7159,f1005,f466,f227]) ).
fof(f9049,plain,
( ~ sQ45_spl
| ~ sQ120_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1861,f228]) ).
fof(f9050,plain,
( ~ sQ45_spl
| ~ sQ120_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f9049,f1005,f482,f227]) ).
fof(f9051,plain,
( ~ sQ91_spl
| ~ sQ279_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f8686,f349,f2370,f384]) ).
fof(f9058,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ5_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f699,f228]) ).
fof(f9059,plain,
( ~ sQ45_spl
| ~ sQ5_spl
| sQ140_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f9058,f768,f799,f94,f227]) ).
fof(f9068,plain,
( ~ sQ103_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f428,f2136]) ).
fof(f9069,plain,
( ~ sQ103_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f428,f2135]) ).
fof(f9070,plain,
( ~ sQ103_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f428,f2134]) ).
fof(f9071,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ103_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f428,f1038]) ).
fof(f9072,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ103_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f428,f1703]) ).
fof(f9073,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ103_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f428,f1704]) ).
fof(f9074,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f428,f2138]) ).
fof(f9075,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f428,f2137]) ).
fof(f9081,plain,
( ~ sQ73_spl
| ~ sQ103_spl
| sQ228_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f9071,f2210,f1809,f427,f321]) ).
fof(f9082,plain,
( ~ sQ78_spl
| ~ sQ103_spl
| sQ138_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f9072,f5404,f786,f427,f342]) ).
fof(f9083,plain,
( ~ sQ78_spl
| ~ sQ103_spl
| sQ149_spl
| sQ404_spl ),
inference(split_clause,[status(thm)],[f9073,f5404,f846,f427,f342]) ).
fof(f9084,plain,
( ~ sQ103_spl
| sQ126_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f9074,f3675,f507,f427]) ).
fof(f9085,plain,
( ~ sQ103_spl
| sQ138_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f9075,f3675,f786,f427]) ).
fof(f9086,plain,
( ~ sQ36_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f199,f876]) ).
fof(f9087,plain,
( ~ sQ26_spl
| ~ sQ36_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f199,f996]) ).
fof(f9088,plain,
( ~ sQ36_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f199,f875]) ).
fof(f9089,plain,
( ~ sQ36_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f199,f874]) ).
fof(f9093,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ36_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f199,f998]) ).
fof(f9103,plain,
( ~ sQ26_spl
| ~ sQ36_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f9087,f1043,f198,f166]) ).
fof(f9107,plain,
( ~ sQ26_spl
| ~ sQ36_spl
| sQ158_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f9093,f5342,f1043,f198,f166]) ).
fof(f9123,plain,
( ~ sQ45_spl
| ~ sQ234_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1933,f228]) ).
fof(f9124,plain,
( ~ sQ45_spl
| ~ sQ234_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f9123,f166,f1932,f227]) ).
fof(f9141,plain,
( ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f218,f738]) ).
fof(f9142,plain,
( ~ sQ42_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f737]) ).
fof(f9143,plain,
( ~ sQ42_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f218,f736]) ).
fof(f9145,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ42_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f218,f620]) ).
fof(f9146,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ42_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f218,f619]) ).
fof(f9149,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ42_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f218,f1300]) ).
fof(f9150,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ42_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f218,f1301]) ).
fof(f9151,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ42_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f218,f2142]) ).
fof(f9152,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ42_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f218,f2143]) ).
fof(f9160,plain,
( ~ sQ12_spl
| ~ sQ42_spl
| sQ140_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f9145,f3097,f799,f217,f116]) ).
fof(f9161,plain,
( ~ sQ12_spl
| ~ sQ42_spl
| sQ203_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f9146,f3097,f1521,f217,f116]) ).
fof(f9164,plain,
( ~ sQ57_spl
| ~ sQ42_spl
| sQ134_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f9149,f1319,f764,f217,f270]) ).
fof(f9165,plain,
( ~ sQ57_spl
| ~ sQ42_spl
| sQ288_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f9150,f1319,f2546,f217,f270]) ).
fof(f9166,plain,
( ~ sQ102_spl
| ~ sQ42_spl
| sQ167_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f9151,f4190,f1137,f217,f424]) ).
fof(f9167,plain,
( ~ sQ102_spl
| ~ sQ42_spl
| sQ154_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f9152,f4190,f1005,f217,f424]) ).
fof(f9170,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f167,f997]) ).
fof(f9171,plain,
( ~ sQ26_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f167,f996]) ).
fof(f9172,plain,
( ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f995]) ).
fof(f9173,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ26_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f167,f1619]) ).
fof(f9174,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ26_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f167,f1618]) ).
fof(f9175,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ26_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f167,f1908]) ).
fof(f9176,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ26_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f167,f1907]) ).
fof(f9178,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ26_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f167,f1347]) ).
fof(f9179,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ26_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f167,f689]) ).
fof(f9180,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ26_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f167,f688]) ).
fof(f9181,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ26_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f167,f2038]) ).
fof(f9182,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ26_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f167,f2037]) ).
fof(f9183,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ26_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f167,f1079]) ).
fof(f9184,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ26_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f167,f1080]) ).
fof(f9185,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ26_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f167,f1057]) ).
fof(f9186,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ26_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f167,f1058]) ).
fof(f9196,plain,
( ~ sQ81_spl
| ~ sQ26_spl
| sQ156_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f9173,f3931,f1015,f166,f352]) ).
fof(f9197,plain,
( ~ sQ81_spl
| ~ sQ26_spl
| sQ199_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f9174,f3931,f1450,f166,f352]) ).
fof(f9198,plain,
( ~ sQ116_spl
| ~ sQ26_spl
| sQ154_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f9175,f5326,f1005,f166,f469]) ).
fof(f9199,plain,
( ~ sQ116_spl
| ~ sQ26_spl
| sQ195_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f9176,f5326,f1429,f166,f469]) ).
fof(f9201,plain,
( ~ sQ51_spl
| ~ sQ26_spl
| sQ138_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f9178,f3936,f786,f166,f251]) ).
fof(f9202,plain,
( ~ sQ6_spl
| ~ sQ26_spl
| sQ140_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f9179,f3362,f799,f166,f97]) ).
fof(f9203,plain,
( ~ sQ6_spl
| ~ sQ26_spl
| sQ199_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f9180,f3362,f1450,f166,f97]) ).
fof(f9204,plain,
( ~ sQ111_spl
| ~ sQ26_spl
| sQ154_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f9181,f4938,f1005,f166,f453]) ).
fof(f9205,plain,
( ~ sQ111_spl
| ~ sQ26_spl
| sQ220_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f9182,f4938,f1718,f166,f453]) ).
fof(f9206,plain,
( ~ sQ66_spl
| ~ sQ26_spl
| sQ195_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f9183,f1134,f1429,f166,f299]) ).
fof(f9207,plain,
( ~ sQ66_spl
| ~ sQ26_spl
| sQ288_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f9184,f1134,f2546,f166,f299]) ).
fof(f9208,plain,
( ~ sQ71_spl
| ~ sQ26_spl
| sQ188_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f9185,f1141,f1394,f166,f315]) ).
fof(f9209,plain,
( ~ sQ71_spl
| ~ sQ26_spl
| sQ288_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f9186,f1141,f2546,f166,f315]) ).
fof(f9214,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f755]) ).
fof(f9215,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f754]) ).
fof(f9216,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f753]) ).
fof(f9239,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ48_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f713,f205]) ).
fof(f9240,plain,
( ~ sQ38_spl
| ~ sQ48_spl
| sQ132_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f9239,f817,f657,f236,f204]) ).
fof(f9243,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ88_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1560,f205]) ).
fof(f9244,plain,
( ~ sQ38_spl
| ~ sQ88_spl
| sQ130_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f9243,f3760,f643,f374,f204]) ).
fof(f9247,plain,
( ~ sQ38_spl
| ~ sQ48_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f710,f205]) ).
fof(f9248,plain,
( ~ sQ38_spl
| ~ sQ48_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f9247,f820,f236,f204]) ).
fof(f9249,plain,
( ~ sQ42_spl
| ~ sQ372_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f4398,f218]) ).
fof(f9250,plain,
( ~ sQ42_spl
| ~ sQ161_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f1107,f218]) ).
fof(f9256,plain,
( ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f117,f618]) ).
fof(f9257,plain,
( ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f117,f617]) ).
fof(f9259,plain,
( ~ sQ12_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f117,f616]) ).
fof(f9262,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ12_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f117,f1728]) ).
fof(f9266,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ12_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f117,f740]) ).
fof(f9267,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ12_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f117,f739]) ).
fof(f9275,plain,
( ~ sQ77_spl
| ~ sQ12_spl
| sQ158_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f9262,f1715,f1043,f116,f339]) ).
fof(f9279,plain,
( ~ sQ42_spl
| ~ sQ12_spl
| sQ199_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f9266,f3097,f1450,f116,f217]) ).
fof(f9280,plain,
( ~ sQ42_spl
| ~ sQ12_spl
| sQ177_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f9267,f3097,f1208,f116,f217]) ).
fof(f9281,plain,
( ~ sQ111_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f454,f2036]) ).
fof(f9282,plain,
( ~ sQ101_spl
| ~ sQ111_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f454,f2145]) ).
fof(f9283,plain,
( ~ sQ111_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f454,f2035]) ).
fof(f9284,plain,
( ~ sQ111_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f454,f2034]) ).
fof(f9286,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ111_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f454,f877]) ).
fof(f9287,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ111_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f454,f2107]) ).
fof(f9289,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ111_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f454,f2147]) ).
fof(f9290,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ111_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f454,f2148]) ).
fof(f9291,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ111_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f454,f943]) ).
fof(f9292,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ111_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f454,f944]) ).
fof(f9293,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ111_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f454,f531]) ).
fof(f9294,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ111_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f454,f532]) ).
fof(f9295,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ111_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f454,f1348]) ).
fof(f9296,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ111_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f454,f1347]) ).
fof(f9304,plain,
( ~ sQ101_spl
| ~ sQ111_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f9282,f1043,f453,f421]) ).
fof(f9306,plain,
( ~ sQ36_spl
| ~ sQ111_spl
| sQ130_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f9286,f5069,f643,f453,f198]) ).
fof(f9307,plain,
( ~ sQ106_spl
| ~ sQ111_spl
| sQ126_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f9287,f4014,f507,f453,f437]) ).
fof(f9309,plain,
( ~ sQ101_spl
| ~ sQ111_spl
| sQ158_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f9289,f3660,f1043,f453,f421]) ).
fof(f9310,plain,
( ~ sQ101_spl
| ~ sQ111_spl
| sQ126_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f9290,f3660,f507,f453,f421]) ).
fof(f9311,plain,
( ~ sQ31_spl
| ~ sQ111_spl
| sQ163_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f9291,f8559,f1115,f453,f182]) ).
fof(f9312,plain,
( ~ sQ31_spl
| ~ sQ111_spl
| sQ136_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f9292,f8559,f771,f453,f182]) ).
fof(f9313,plain,
( ~ sQ21_spl
| ~ sQ111_spl
| sQ144_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f9293,f1994,f820,f453,f145]) ).
fof(f9314,plain,
( ~ sQ21_spl
| ~ sQ111_spl
| sQ169_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f9294,f1994,f1144,f453,f145]) ).
fof(f9315,plain,
( ~ sQ51_spl
| ~ sQ111_spl
| sQ228_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f9295,f2078,f1809,f453,f251]) ).
fof(f9316,plain,
( ~ sQ51_spl
| ~ sQ111_spl
| sQ158_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f9296,f2078,f1043,f453,f251]) ).
fof(f9319,plain,
( ~ sQ51_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f252,f1346]) ).
fof(f9320,plain,
( ~ sQ51_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f252,f1345]) ).
fof(f9321,plain,
( ~ sQ101_spl
| ~ sQ51_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f252,f2144]) ).
fof(f9322,plain,
( ~ sQ51_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f252,f1344]) ).
fof(f9323,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ51_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f252,f878]) ).
fof(f9324,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ51_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f252,f877]) ).
fof(f9325,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ51_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f252,f2107]) ).
fof(f9326,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ51_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f252,f2106]) ).
fof(f9327,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ51_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f252,f2147]) ).
fof(f9328,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ51_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f252,f2148]) ).
fof(f9330,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ51_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f252,f944]) ).
fof(f9331,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ51_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f252,f531]) ).
fof(f9332,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ51_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f252,f532]) ).
fof(f9333,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f252,f1348]) ).
fof(f9334,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f252,f1347]) ).
fof(f9340,plain,
( ~ sQ101_spl
| ~ sQ51_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f9321,f820,f251,f421]) ).
fof(f9341,definition,
! [X0] :
( sQ449_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ449_spl])],[split_symbol_definition]) ).
fof(f9342,plain,
! [X0] :
( ~ sQ449_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f9341]) ).
fof(f9344,plain,
( ~ sQ36_spl
| ~ sQ51_spl
| sQ163_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f9323,f9341,f1115,f251,f198]) ).
fof(f9345,plain,
( ~ sQ36_spl
| ~ sQ51_spl
| sQ220_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f9324,f9341,f1718,f251,f198]) ).
fof(f9346,definition,
! [X0] :
( sQ450_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ450_spl])],[split_symbol_definition]) ).
fof(f9347,plain,
! [X0] :
( ~ sQ450_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f9346]) ).
fof(f9349,plain,
( ~ sQ106_spl
| ~ sQ51_spl
| sQ144_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f9325,f9346,f820,f251,f437]) ).
fof(f9350,plain,
( ~ sQ106_spl
| ~ sQ51_spl
| sQ199_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f9326,f9346,f1450,f251,f437]) ).
fof(f9351,plain,
( ~ sQ101_spl
| ~ sQ51_spl
| sQ138_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f9327,f3897,f786,f251,f421]) ).
fof(f9352,plain,
( ~ sQ101_spl
| ~ sQ51_spl
| sQ144_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f9328,f3897,f820,f251,f421]) ).
fof(f9354,plain,
( ~ sQ31_spl
| ~ sQ51_spl
| sQ163_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f9330,f1447,f1115,f251,f182]) ).
fof(f9355,plain,
( ~ sQ21_spl
| ~ sQ51_spl
| sQ188_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f9331,f1391,f1394,f251,f145]) ).
fof(f9356,plain,
( ~ sQ21_spl
| ~ sQ51_spl
| sQ158_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f9332,f1391,f1043,f251,f145]) ).
fof(f9357,plain,
( ~ sQ51_spl
| sQ130_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f9333,f7043,f643,f251]) ).
fof(f9358,plain,
( ~ sQ51_spl
| sQ138_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f9334,f7043,f786,f251]) ).
fof(f9359,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f530]) ).
fof(f9360,plain,
( ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f529]) ).
fof(f9361,plain,
( ~ sQ21_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f528]) ).
fof(f9387,plain,
( ~ sQ42_spl
| ~ sQ194_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1427,f218]) ).
fof(f9392,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ52_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1343,f117]) ).
fof(f9394,plain,
( ~ sQ12_spl
| ~ sQ52_spl
| sQ220_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f9392,f2627,f1718,f254,f116]) ).
fof(f9396,plain,
( ~ sQ42_spl
| ~ sQ67_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1071,f218]) ).
fof(f9397,plain,
( ~ sQ42_spl
| ~ sQ67_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f9396,f2546,f302,f217]) ).
fof(f9398,plain,
( ~ sQ21_spl
| ~ sQ213_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f6185,f138,f1671,f145]) ).
fof(f9399,plain,
( ~ sQ42_spl
| ~ sQ318_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f3225,f218]) ).
fof(f9400,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ2_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2242,f218]) ).
fof(f9401,plain,
( ~ sQ42_spl
| ~ sQ2_spl
| sQ167_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f9400,f2279,f1137,f84,f217]) ).
fof(f9402,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ2_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2243,f218]) ).
fof(f9403,plain,
( ~ sQ42_spl
| ~ sQ2_spl
| sQ140_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f9402,f2279,f799,f84,f217]) ).
fof(f9409,plain,
( ~ sQ21_spl
| ~ sQ410_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f5705,f146]) ).
fof(f9410,plain,
( ~ sQ21_spl
| ~ sQ410_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f9409,f84,f5704,f145]) ).
fof(f9411,plain,
( ~ sQ198_spl
| ~ sQ8_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f8608,f84,f103,f1447]) ).
fof(f9412,plain,
( ~ sQ21_spl
| ~ sQ212_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f1667,f146]) ).
fof(f9413,plain,
( ~ sQ21_spl
| ~ sQ257_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f2181,f146]) ).
fof(f9424,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ92_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1516,f218]) ).
fof(f9425,plain,
( ~ sQ42_spl
| ~ sQ92_spl
| sQ128_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f9424,f5817,f553,f387,f217]) ).
fof(f9434,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f1024]) ).
fof(f9435,plain,
( ~ sQ25_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f164,f1023]) ).
fof(f9436,plain,
( ~ sQ25_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1022]) ).
fof(f9462,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f667]) ).
fof(f9463,plain,
( ~ sQ8_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f104,f666]) ).
fof(f9464,plain,
( ~ sQ225_spl
| ~ sQ8_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f104,f1766]) ).
fof(f9465,plain,
( ~ sQ8_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f104,f665]) ).
fof(f9487,plain,
( ~ sQ48_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f237,f711]) ).
fof(f9488,plain,
( ~ sQ48_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f237,f710]) ).
fof(f9489,plain,
( ~ sQ48_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f237,f709]) ).
fof(f9490,plain,
( ~ sQ135_spl
| ~ sQ48_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f237,f769]) ).
fof(f9491,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ48_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f237,f1338]) ).
fof(f9492,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ48_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f237,f1337]) ).
fof(f9493,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ48_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f237,f2346]) ).
fof(f9494,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ48_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f237,f2345]) ).
fof(f9497,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ48_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f237,f668]) ).
fof(f9498,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ48_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f237,f669]) ).
fof(f9504,plain,
( ~ sQ53_spl
| ~ sQ48_spl
| sQ288_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f9491,f1442,f2546,f236,f257]) ).
fof(f9505,plain,
( ~ sQ53_spl
| ~ sQ48_spl
| sQ169_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f9492,f1442,f1144,f236,f257]) ).
fof(f9506,plain,
( ~ sQ68_spl
| ~ sQ48_spl
| sQ288_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f9493,f7235,f2546,f236,f305]) ).
fof(f9507,plain,
( ~ sQ68_spl
| ~ sQ48_spl
| sQ149_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f9494,f7235,f846,f236,f305]) ).
fof(f9510,plain,
( ~ sQ8_spl
| ~ sQ48_spl
| sQ136_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f9497,f768,f771,f236,f103]) ).
fof(f9511,plain,
( ~ sQ8_spl
| ~ sQ48_spl
| sQ140_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f9498,f768,f799,f236,f103]) ).
fof(f9512,plain,
( ~ sQ31_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f183,f942]) ).
fof(f9513,plain,
( ~ sQ36_spl
| ~ sQ31_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f183,f875]) ).
fof(f9514,plain,
( ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f183,f941]) ).
fof(f9515,plain,
( ~ sQ354_spl
| ~ sQ31_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f183,f3932]) ).
fof(f9516,plain,
( ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f183,f940]) ).
fof(f9517,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ31_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f183,f2038]) ).
fof(f9518,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ31_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f183,f2037]) ).
fof(f9519,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ31_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f183,f1744]) ).
fof(f9520,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ31_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f183,f1743]) ).
fof(f9521,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ31_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f183,f1231]) ).
fof(f9523,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ31_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f183,f878]) ).
fof(f9524,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ31_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f183,f877]) ).
fof(f9527,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ31_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f183,f531]) ).
fof(f9528,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ31_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f183,f532]) ).
fof(f9534,plain,
( ~ sQ36_spl
| ~ sQ31_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f9513,f2546,f182,f198]) ).
fof(f9535,plain,
( ~ sQ111_spl
| ~ sQ31_spl
| sQ154_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f9517,f8559,f1005,f182,f453]) ).
fof(f9536,plain,
( ~ sQ111_spl
| ~ sQ31_spl
| sQ288_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f9518,f8559,f2546,f182,f453]) ).
fof(f9537,plain,
( ~ sQ76_spl
| ~ sQ31_spl
| sQ156_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f9519,f1765,f1015,f182,f336]) ).
fof(f9538,plain,
( ~ sQ76_spl
| ~ sQ31_spl
| sQ140_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f9520,f1765,f799,f182,f336]) ).
fof(f9539,plain,
( ~ sQ61_spl
| ~ sQ31_spl
| sQ288_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f9521,f1186,f2546,f182,f283]) ).
fof(f9541,plain,
( ~ sQ36_spl
| ~ sQ31_spl
| sQ132_spl
| sQ427_spl ),
inference(split_clause,[status(thm)],[f9523,f7148,f657,f182,f198]) ).
fof(f9542,plain,
( ~ sQ36_spl
| ~ sQ31_spl
| sQ288_spl
| sQ427_spl ),
inference(split_clause,[status(thm)],[f9524,f7148,f2546,f182,f198]) ).
fof(f9545,plain,
( ~ sQ21_spl
| ~ sQ31_spl
| sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f9527,f1002,f1005,f182,f145]) ).
fof(f9546,plain,
( ~ sQ21_spl
| ~ sQ31_spl
| sQ140_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f9528,f1002,f799,f182,f145]) ).
fof(f9547,plain,
( ~ sQ48_spl
| ~ sQ430_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f7236,f237]) ).
fof(f9548,plain,
( ~ sQ21_spl
| ~ sQ256_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f2177,f146]) ).
fof(f9550,plain,
( ~ sQ21_spl
| ~ sQ285_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f2495,f146]) ).
fof(f9551,plain,
( ~ sQ21_spl
| ~ sQ410_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f5705,f146]) ).
fof(f9561,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ113_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1981,f237]) ).
fof(f9563,plain,
( ~ sQ48_spl
| ~ sQ113_spl
| sQ228_spl
| sQ443_spl ),
inference(split_clause,[status(thm)],[f9561,f8487,f1809,f459,f236]) ).
fof(f9564,plain,
( ~ sQ48_spl
| ~ sQ443_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f8488,f237]) ).
fof(f9566,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ113_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1982,f237]) ).
fof(f9568,plain,
( ~ sQ48_spl
| ~ sQ113_spl
| sQ154_spl
| sQ443_spl ),
inference(split_clause,[status(thm)],[f9566,f8487,f1005,f459,f236]) ).
fof(f9570,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ88_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1560,f237]) ).
fof(f9572,plain,
( ~ sQ48_spl
| ~ sQ88_spl
| sQ228_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f9570,f3345,f1809,f374,f236]) ).
fof(f9573,plain,
( ~ sQ48_spl
| ~ sQ327_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f3346,f237]) ).
fof(f9575,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ88_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1561,f237]) ).
fof(f9577,plain,
( ~ sQ48_spl
| ~ sQ88_spl
| sQ156_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f9575,f3345,f1015,f374,f236]) ).
fof(f9578,plain,
( ~ sQ120_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f483,f1863]) ).
fof(f9579,plain,
( ~ sQ115_spl
| ~ sQ120_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f483,f1915]) ).
fof(f9580,plain,
( ~ sQ120_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f483,f1862]) ).
fof(f9581,plain,
( ~ sQ120_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f483,f1861]) ).
fof(f9582,plain,
( ~ sQ231_spl
| ~ sQ120_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f483,f1825]) ).
fof(f9583,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ120_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f483,f1918]) ).
fof(f9584,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ120_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f483,f1917]) ).
fof(f9585,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ120_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f483,f591]) ).
fof(f9586,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ120_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f483,f592]) ).
fof(f9587,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ120_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f483,f1625]) ).
fof(f9588,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ120_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f483,f1624]) ).
fof(f9589,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ120_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f483,f1328]) ).
fof(f9590,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ120_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f483,f1327]) ).
fof(f9591,plain,
! [X0] :
( ~ sQ120_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f483,f1865]) ).
fof(f9593,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ120_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f483,f1026]) ).
fof(f9594,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ120_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f483,f1025]) ).
fof(f9600,plain,
( ~ sQ115_spl
| ~ sQ120_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f9579,f846,f482,f466]) ).
fof(f9601,definition,
! [X0] :
( sQ451_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ451_spl])],[split_symbol_definition]) ).
fof(f9602,plain,
! [X0] :
( ~ sQ451_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f9601]) ).
fof(f9604,plain,
( ~ sQ115_spl
| ~ sQ120_spl
| sQ126_spl
| sQ451_spl ),
inference(split_clause,[status(thm)],[f9583,f9601,f507,f482,f466]) ).
fof(f9605,plain,
( ~ sQ115_spl
| ~ sQ120_spl
| sQ149_spl
| sQ451_spl ),
inference(split_clause,[status(thm)],[f9584,f9601,f846,f482,f466]) ).
fof(f9606,plain,
( ~ sQ15_spl
| ~ sQ120_spl
| sQ149_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f9585,f2718,f846,f482,f126]) ).
fof(f9607,plain,
( ~ sQ15_spl
| ~ sQ120_spl
| sQ169_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f9586,f2718,f1144,f482,f126]) ).
fof(f9608,plain,
( ~ sQ80_spl
| ~ sQ120_spl
| sQ149_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f9587,f6345,f846,f482,f349]) ).
fof(f9609,plain,
( ~ sQ80_spl
| ~ sQ120_spl
| sQ136_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f9588,f6345,f771,f482,f349]) ).
fof(f9610,plain,
( ~ sQ55_spl
| ~ sQ120_spl
| sQ228_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f9589,f1819,f1809,f482,f264]) ).
fof(f9611,plain,
( ~ sQ55_spl
| ~ sQ120_spl
| sQ136_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f9590,f1819,f771,f482,f264]) ).
fof(f9612,plain,
( ~ sQ120_spl
| sQ126_spl
| sQ447_spl ),
inference(split_clause,[status(thm)],[f9591,f8981,f507,f482]) ).
fof(f9614,plain,
( ~ sQ25_spl
| ~ sQ120_spl
| sQ136_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f9593,f1824,f771,f482,f163]) ).
fof(f9615,plain,
( ~ sQ25_spl
| ~ sQ120_spl
| sQ169_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f9594,f1824,f1144,f482,f163]) ).
fof(f9616,plain,
( ~ sQ73_spl
| ~ sQ326_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f7652,f292,f3340,f321]) ).
fof(f9617,plain,
( ~ sQ256_spl
| ~ sQ46_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f3312,f163,f230,f2176]) ).
fof(f9618,plain,
( ~ sQ275_spl
| ~ sQ90_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f3030,f345,f381,f2318]) ).
fof(f9619,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ1_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2292,f183]) ).
fof(f9620,plain,
( ~ sQ31_spl
| ~ sQ1_spl
| sQ140_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f9619,f5188,f799,f81,f182]) ).
fof(f9635,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ106_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2106,f183]) ).
fof(f9636,plain,
( ~ sQ31_spl
| ~ sQ106_spl
| sQ132_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f9635,f4800,f657,f437,f182]) ).
fof(f9641,plain,
( ~ sQ8_spl
| ~ sQ397_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f5189,f104]) ).
fof(f9650,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ46_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f723,f183]) ).
fof(f9651,plain,
( ~ sQ31_spl
| ~ sQ46_spl
| sQ132_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f9650,f5199,f657,f230,f182]) ).
fof(f9652,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ101_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2148,f183]) ).
fof(f9653,plain,
( ~ sQ31_spl
| ~ sQ101_spl
| sQ154_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f9652,f2202,f1005,f421,f182]) ).
fof(f9654,plain,
( ~ sQ8_spl
| ~ sQ261_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f2203,f104]) ).
fof(f9655,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ101_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2147,f183]) ).
fof(f9656,plain,
( ~ sQ31_spl
| ~ sQ101_spl
| sQ140_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f9655,f2202,f799,f421,f182]) ).
fof(f9661,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ66_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1080,f183]) ).
fof(f9662,plain,
( ~ sQ31_spl
| ~ sQ66_spl
| sQ288_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f9661,f1175,f2546,f299,f182]) ).
fof(f9663,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ66_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1079,f183]) ).
fof(f9664,plain,
( ~ sQ31_spl
| ~ sQ66_spl
| sQ156_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f9663,f1175,f1015,f299,f182]) ).
fof(f9669,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ121_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1857,f183]) ).
fof(f9670,plain,
( ~ sQ31_spl
| ~ sQ121_spl
| sQ154_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f9669,f1942,f1005,f485,f182]) ).
fof(f9679,plain,
( ~ sQ31_spl
| ~ sQ106_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f2103,f183]) ).
fof(f9680,plain,
( ~ sQ31_spl
| ~ sQ106_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f9679,f1005,f437,f182]) ).
fof(f9681,plain,
( ~ sQ249_spl
| ~ sQ60_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f6539,f276,f280,f2063]) ).
fof(f9682,plain,
( ~ sQ135_spl
| ~ sQ73_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f8251,f276,f321,f768]) ).
fof(f9704,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ16_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f581,f183]) ).
fof(f9705,plain,
( ~ sQ31_spl
| ~ sQ16_spl
| sQ156_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f9704,f1012,f1015,f129,f182]) ).
fof(f9706,plain,
( ~ sQ42_spl
| ~ sQ318_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f9399,f191,f3224,f217]) ).
fof(f9723,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f85,f2241]) ).
fof(f9724,plain,
( ~ sQ2_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f85,f2240]) ).
fof(f9725,plain,
( ~ sQ2_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f85,f2239]) ).
fof(f9732,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ2_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f85,f1053]) ).
fof(f9733,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ2_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f85,f1052]) ).
fof(f9749,plain,
( ~ sQ72_spl
| ~ sQ2_spl
| sQ220_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f9732,f4537,f1718,f84,f318]) ).
fof(f9750,plain,
( ~ sQ72_spl
| ~ sQ2_spl
| sQ188_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f9733,f4537,f1394,f84,f318]) ).
fof(f9755,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f431,f2131]) ).
fof(f9756,plain,
( ~ sQ114_spl
| ~ sQ104_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f431,f1920]) ).
fof(f9757,plain,
( ~ sQ124_spl
| ~ sQ104_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f431,f1802]) ).
fof(f9758,plain,
( ~ sQ104_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f431,f2130]) ).
fof(f9759,plain,
( ~ sQ104_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f431,f2129]) ).
fof(f9760,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ104_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f431,f1067]) ).
fof(f9761,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ104_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f431,f1068]) ).
fof(f9762,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ104_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f431,f1923]) ).
fof(f9763,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ104_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f431,f1922]) ).
fof(f9764,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ104_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f431,f1805]) ).
fof(f9765,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ104_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f431,f1804]) ).
fof(f9775,plain,
( ~ sQ114_spl
| ~ sQ104_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f9756,f1718,f430,f462]) ).
fof(f9776,plain,
( ~ sQ124_spl
| ~ sQ104_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f9757,f1394,f430,f494]) ).
fof(f9777,plain,
( ~ sQ69_spl
| ~ sQ104_spl
| sQ195_spl
| sQ435_spl ),
inference(split_clause,[status(thm)],[f9760,f7486,f1429,f430,f308]) ).
fof(f9778,plain,
( ~ sQ69_spl
| ~ sQ104_spl
| sQ228_spl
| sQ435_spl ),
inference(split_clause,[status(thm)],[f9761,f7486,f1809,f430,f308]) ).
fof(f9779,plain,
( ~ sQ114_spl
| ~ sQ104_spl
| sQ126_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f9762,f3660,f507,f430,f462]) ).
fof(f9780,plain,
( ~ sQ114_spl
| ~ sQ104_spl
| sQ220_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f9763,f3660,f1718,f430,f462]) ).
fof(f9781,plain,
( ~ sQ124_spl
| ~ sQ104_spl
| sQ126_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f9764,f5254,f507,f430,f494]) ).
fof(f9782,plain,
( ~ sQ124_spl
| ~ sQ104_spl
| sQ188_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f9765,f5254,f1394,f430,f494]) ).
fof(f9787,plain,
( ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f218,f738]) ).
fof(f9788,plain,
( ~ sQ42_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f737]) ).
fof(f9789,plain,
( ~ sQ42_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f218,f736]) ).
fof(f9799,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ82_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1612,f218]) ).
fof(f9800,plain,
( ~ sQ42_spl
| ~ sQ82_spl
| sQ156_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f9799,f4197,f1015,f355,f217]) ).
fof(f9801,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ82_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1611,f218]) ).
fof(f9802,plain,
( ~ sQ42_spl
| ~ sQ82_spl
| sQ134_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f9801,f4197,f764,f355,f217]) ).
fof(f9803,plain,
( ~ sQ100_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f419,f2154]) ).
fof(f9804,plain,
( ~ sQ120_spl
| ~ sQ100_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f419,f1862]) ).
fof(f9805,plain,
( ~ sQ100_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f419,f2153]) ).
fof(f9806,plain,
( ~ sQ50_spl
| ~ sQ100_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f419,f1349]) ).
fof(f9807,plain,
( ~ sQ100_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f419,f2152]) ).
fof(f9808,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ100_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f419,f1353]) ).
fof(f9809,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ100_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f419,f1352]) ).
fof(f9810,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ100_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f419,f956]) ).
fof(f9811,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ100_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f419,f957]) ).
fof(f9812,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ100_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f419,f1594]) ).
fof(f9813,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ100_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f419,f1595]) ).
fof(f9817,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ100_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f419,f1864]) ).
fof(f9825,plain,
( ~ sQ120_spl
| ~ sQ100_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f9804,f1394,f418,f482]) ).
fof(f9826,plain,
( ~ sQ50_spl
| ~ sQ100_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f9806,f1809,f418,f248]) ).
fof(f9827,plain,
( ~ sQ50_spl
| ~ sQ100_spl
| sQ228_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f9808,f3897,f1809,f418,f248]) ).
fof(f9828,plain,
( ~ sQ50_spl
| ~ sQ100_spl
| sQ138_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f9809,f3897,f786,f418,f248]) ).
fof(f9829,plain,
( ~ sQ30_spl
| ~ sQ100_spl
| sQ199_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f9810,f2202,f1450,f418,f179]) ).
fof(f9830,plain,
( ~ sQ30_spl
| ~ sQ100_spl
| sQ136_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f9811,f2202,f771,f418,f179]) ).
fof(f9831,definition,
! [X0] :
( sQ452_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ452_spl])],[split_symbol_definition]) ).
fof(f9832,plain,
! [X0] :
( ~ sQ452_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f9831]) ).
fof(f9834,plain,
( ~ sQ85_spl
| ~ sQ100_spl
| sQ220_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f9812,f9831,f1718,f418,f365]) ).
fof(f9835,plain,
( ~ sQ85_spl
| ~ sQ100_spl
| sQ149_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f9813,f9831,f846,f418,f365]) ).
fof(f9839,plain,
( ~ sQ120_spl
| ~ sQ100_spl
| sQ188_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f9817,f5254,f1394,f418,f482]) ).
fof(f9842,plain,
( ~ sQ19_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f139,f546]) ).
fof(f9843,plain,
( ~ sQ19_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f139,f545]) ).
fof(f9844,plain,
( ~ sQ119_spl
| ~ sQ19_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f139,f1873]) ).
fof(f9845,plain,
( ~ sQ19_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f139,f544]) ).
fof(f9846,plain,
( ~ sQ208_spl
| ~ sQ19_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f139,f1638]) ).
fof(f9847,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ19_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f139,f1876]) ).
fof(f9848,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ19_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f139,f1877]) ).
fof(f9856,plain,
( ~ sQ119_spl
| ~ sQ19_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f9844,f1394,f138,f478]) ).
fof(f9857,definition,
! [X0] :
( sQ453_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ453_spl])],[split_symbol_definition]) ).
fof(f9858,plain,
! [X0] :
( ~ sQ453_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f9857]) ).
fof(f9860,plain,
( ~ sQ119_spl
| ~ sQ19_spl
| sQ128_spl
| sQ453_spl ),
inference(split_clause,[status(thm)],[f9847,f9857,f553,f138,f478]) ).
fof(f9861,plain,
( ~ sQ119_spl
| ~ sQ19_spl
| sQ188_spl
| sQ453_spl ),
inference(split_clause,[status(thm)],[f9848,f9857,f1394,f138,f478]) ).
fof(f9864,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f755]) ).
fof(f9865,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f754]) ).
fof(f9866,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f753]) ).
fof(f9868,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ38_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f205,f515]) ).
fof(f9877,plain,
( ~ sQ23_spl
| ~ sQ38_spl
| sQ144_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f9868,f796,f820,f204,f151]) ).
fof(f9880,plain,
( ~ sQ90_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f382,f1536]) ).
fof(f9881,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f382,f1535]) ).
fof(f9882,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f382,f1534]) ).
fof(f9883,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ90_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f382,f727]) ).
fof(f9884,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ90_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f382,f728]) ).
fof(f9892,plain,
( ~ sQ45_spl
| ~ sQ90_spl
| sQ146_spl
| sQ425_spl ),
inference(split_clause,[status(thm)],[f9883,f7001,f827,f381,f227]) ).
fof(f9893,plain,
( ~ sQ45_spl
| ~ sQ90_spl
| sQ134_spl
| sQ425_spl ),
inference(split_clause,[status(thm)],[f9884,f7001,f764,f381,f227]) ).
fof(f9896,plain,
( ~ sQ23_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f152,f514]) ).
fof(f9897,plain,
( ~ sQ23_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f152,f513]) ).
fof(f9898,plain,
( ~ sQ23_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f152,f512]) ).
fof(f9901,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ23_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f152,f757]) ).
fof(f9902,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ23_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f152,f756]) ).
fof(f9910,plain,
( ~ sQ38_spl
| ~ sQ23_spl
| sQ199_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f9901,f796,f1450,f151,f204]) ).
fof(f9911,plain,
( ~ sQ38_spl
| ~ sQ23_spl
| sQ228_spl
| sQ139_spl ),
inference(split_clause,[status(thm)],[f9902,f796,f1809,f151,f204]) ).
fof(f9912,plain,
( ~ sQ71_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f316,f1056]) ).
fof(f9913,plain,
( ~ sQ71_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f316,f1055]) ).
fof(f9914,plain,
( ~ sQ71_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f316,f1054]) ).
fof(f9915,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f316,f1057]) ).
fof(f9916,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f316,f1058]) ).
fof(f9922,plain,
( ~ sQ71_spl
| sQ126_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f9915,f1159,f507,f315]) ).
fof(f9923,plain,
( ~ sQ71_spl
| sQ130_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f9916,f1159,f643,f315]) ).
fof(f9928,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f63]) ).
fof(f9929,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f228,f61]) ).
fof(f9930,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f228,f59]) ).
fof(f9942,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f167,f67]) ).
fof(f9943,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f167,f65]) ).
fof(f9946,plain,
( ~ sQ23_spl
| ~ sQ425_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f7002,f152]) ).
fof(f9947,plain,
( ~ sQ23_spl
| ~ sQ430_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f7236,f152]) ).
fof(f9948,plain,
( ~ sQ23_spl
| ~ sQ380_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f4557,f152]) ).
fof(f9949,plain,
( ~ sQ71_spl
| ~ sQ256_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f2177,f316]) ).
fof(f9950,plain,
( ~ sQ71_spl
| ~ sQ260_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f2195,f316]) ).
fof(f9951,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ26_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f998,f316]) ).
fof(f9953,plain,
( ~ sQ71_spl
| ~ sQ26_spl
| sQ169_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f9951,f1141,f1144,f166,f315]) ).
fof(f9955,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ26_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f999,f316]) ).
fof(f9957,plain,
( ~ sQ71_spl
| ~ sQ26_spl
| sQ163_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f9955,f1141,f1115,f166,f315]) ).
fof(f9963,plain,
( ~ sQ19_spl
| ~ sQ155_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f1013,f139]) ).
fof(f9965,plain,
( ~ sQ71_spl
| ~ sQ212_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f1667,f316]) ).
fof(f9966,plain,
( ~ sQ23_spl
| ~ sQ217_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f1706,f152]) ).
fof(f9967,plain,
( ~ sQ90_spl
| ~ sQ401_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f5327,f382]) ).
fof(f9969,plain,
( ~ sQ23_spl
| ~ sQ361_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f4022,f152]) ).
fof(f9982,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ51_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1347,f316]) ).
fof(f9984,plain,
( ~ sQ71_spl
| ~ sQ51_spl
| sQ169_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f9982,f5517,f1144,f251,f315]) ).
fof(f9986,plain,
( ~ sQ50_spl
| ~ sQ71_spl
| ~ sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f249,f9949]) ).
fof(f9987,plain,
( ~ sQ50_spl
| ~ sQ71_spl
| ~ sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f9986]) ).
fof(f9988,plain,
( ~ sQ19_spl
| ~ sQ189_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f1403,f139]) ).
fof(f9989,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ75_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1782,f382]) ).
fof(f9991,plain,
( ~ sQ90_spl
| ~ sQ75_spl
| sQ128_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f9989,f3596,f553,f333,f381]) ).
fof(f9997,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ0_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2316,f382]) ).
fof(f9999,plain,
( ~ sQ90_spl
| ~ sQ0_spl
| sQ167_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f9997,f4542,f1137,f78,f381]) ).
fof(f10005,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ6_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f688,f316]) ).
fof(f10007,plain,
( ~ sQ71_spl
| ~ sQ6_spl
| sQ136_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f10005,f1039,f771,f97,f315]) ).
fof(f10009,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ105_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2117,f382]) ).
fof(f10011,plain,
( ~ sQ90_spl
| ~ sQ105_spl
| sQ146_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f10009,f2370,f827,f434,f381]) ).
fof(f10013,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ105_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2116,f382]) ).
fof(f10015,plain,
( ~ sQ90_spl
| ~ sQ105_spl
| sQ134_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f10013,f2370,f764,f434,f381]) ).
fof(f10017,plain,
( ~ sQ19_spl
| ~ sQ282_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f2426,f139]) ).
fof(f10027,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ40_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f749,f382]) ).
fof(f10029,plain,
( ~ sQ90_spl
| ~ sQ40_spl
| sQ128_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f10027,f5817,f553,f211,f381]) ).
fof(f10031,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ40_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f750,f382]) ).
fof(f10033,plain,
( ~ sQ90_spl
| ~ sQ40_spl
| sQ134_spl
| sQ413_spl ),
inference(split_clause,[status(thm)],[f10031,f5817,f764,f211,f381]) ).
fof(f10039,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ59_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1280,f139]) ).
fof(f10040,plain,
( ~ sQ19_spl
| ~ sQ59_spl
| sQ220_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f10039,f1406,f1718,f276,f138]) ).
fof(f10041,plain,
( ~ sQ19_spl
| ~ sQ190_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1407,f139]) ).
fof(f10042,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ59_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1279,f139]) ).
fof(f10043,plain,
( ~ sQ19_spl
| ~ sQ59_spl
| sQ134_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f10042,f1406,f764,f276,f138]) ).
fof(f10044,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f726,f228]) ).
fof(f10045,plain,
( ~ sQ45_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f724,f228]) ).
fof(f10046,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f725,f228]) ).
fof(f10047,plain,
( ~ sQ90_spl
| ~ sQ75_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1779,f382]) ).
fof(f10048,plain,
( ~ sQ90_spl
| ~ sQ75_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f10047,f1137,f333,f381]) ).
fof(f10049,plain,
( ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f334,f1780]) ).
fof(f10050,plain,
( ~ sQ75_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f334,f1779]) ).
fof(f10051,plain,
( ~ sQ75_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f334,f1778]) ).
fof(f10054,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ75_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f334,f636]) ).
fof(f10055,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ75_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f334,f635]) ).
fof(f10056,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ75_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f334,f2116]) ).
fof(f10057,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ75_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f334,f2117]) ).
fof(f10060,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ75_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f334,f727]) ).
fof(f10061,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ75_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f334,f728]) ).
fof(f10069,plain,
( ~ sQ10_spl
| ~ sQ75_spl
| sQ167_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f10054,f1715,f1137,f333,f110]) ).
fof(f10070,plain,
( ~ sQ10_spl
| ~ sQ75_spl
| sQ220_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f10055,f1715,f1718,f333,f110]) ).
fof(f10071,plain,
( ~ sQ105_spl
| ~ sQ75_spl
| sQ199_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f10056,f4603,f1450,f333,f434]) ).
fof(f10072,plain,
( ~ sQ105_spl
| ~ sQ75_spl
| sQ146_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f10057,f4603,f827,f333,f434]) ).
fof(f10075,plain,
( ~ sQ45_spl
| ~ sQ75_spl
| sQ188_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f10060,f1705,f1394,f333,f227]) ).
fof(f10076,plain,
( ~ sQ45_spl
| ~ sQ75_spl
| sQ134_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f10061,f1705,f764,f333,f227]) ).
fof(f10077,plain,
( ~ sQ86_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f369,f1583]) ).
fof(f10078,plain,
( ~ sQ86_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f369,f1582]) ).
fof(f10079,plain,
( ~ sQ86_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f369,f1581]) ).
fof(f10080,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ86_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f369,f1079]) ).
fof(f10081,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ86_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f369,f1080]) ).
fof(f10082,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ86_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f369,f2147]) ).
fof(f10083,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ86_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f369,f2148]) ).
fof(f10084,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ86_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f369,f943]) ).
fof(f10085,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ86_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f369,f944]) ).
fof(f10086,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ86_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f369,f1908]) ).
fof(f10087,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ86_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f369,f1907]) ).
fof(f10088,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ86_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f369,f1857]) ).
fof(f10089,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ86_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f369,f1856]) ).
fof(f10090,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f369,f1584]) ).
fof(f10091,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f369,f1585]) ).
fof(f10097,definition,
! [X0] :
( sQ454_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ454_spl])],[split_symbol_definition]) ).
fof(f10098,plain,
! [X0] :
( ~ sQ454_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f10097]) ).
fof(f10100,plain,
( ~ sQ66_spl
| ~ sQ86_spl
| sQ177_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f10080,f10097,f1208,f368,f299]) ).
fof(f10101,plain,
( ~ sQ66_spl
| ~ sQ86_spl
| sQ203_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f10081,f10097,f1521,f368,f299]) ).
fof(f10102,plain,
( ~ sQ101_spl
| ~ sQ86_spl
| sQ158_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f10082,f9831,f1043,f368,f421]) ).
fof(f10103,plain,
( ~ sQ101_spl
| ~ sQ86_spl
| sQ146_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f10083,f9831,f827,f368,f421]) ).
fof(f10104,plain,
( ~ sQ31_spl
| ~ sQ86_spl
| sQ163_spl
| sQ448_spl ),
inference(split_clause,[status(thm)],[f10084,f9034,f1115,f368,f182]) ).
fof(f10105,plain,
( ~ sQ31_spl
| ~ sQ86_spl
| sQ134_spl
| sQ448_spl ),
inference(split_clause,[status(thm)],[f10085,f9034,f764,f368,f182]) ).
fof(f10106,plain,
( ~ sQ116_spl
| ~ sQ86_spl
| sQ146_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f10086,f6495,f827,f368,f469]) ).
fof(f10107,plain,
( ~ sQ116_spl
| ~ sQ86_spl
| sQ177_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f10087,f6495,f1208,f368,f469]) ).
fof(f10108,definition,
! [X0] :
( sQ455_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ455_spl])],[split_symbol_definition]) ).
fof(f10109,plain,
! [X0] :
( ~ sQ455_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f10108]) ).
fof(f10111,plain,
( ~ sQ121_spl
| ~ sQ86_spl
| sQ146_spl
| sQ455_spl ),
inference(split_clause,[status(thm)],[f10088,f10108,f827,f368,f485]) ).
fof(f10112,plain,
( ~ sQ121_spl
| ~ sQ86_spl
| sQ144_spl
| sQ455_spl ),
inference(split_clause,[status(thm)],[f10089,f10108,f820,f368,f485]) ).
fof(f10113,plain,
( ~ sQ86_spl
| sQ130_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f10090,f1683,f643,f368]) ).
fof(f10114,plain,
( ~ sQ86_spl
| sQ128_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f10091,f1683,f553,f368]) ).
fof(f10115,plain,
( ~ sQ105_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f435,f2114]) ).
fof(f10116,plain,
( ~ sQ105_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f435,f2113]) ).
fof(f10117,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ105_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f435,f750]) ).
fof(f10118,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ105_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f435,f749]) ).
fof(f10119,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ105_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f435,f636]) ).
fof(f10120,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ105_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f435,f635]) ).
fof(f10123,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ105_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f435,f1781]) ).
fof(f10124,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ105_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f435,f1782]) ).
fof(f10132,plain,
( ~ sQ40_spl
| ~ sQ105_spl
| sQ136_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f10117,f3102,f771,f434,f211]) ).
fof(f10133,plain,
( ~ sQ40_spl
| ~ sQ105_spl
| sQ156_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f10118,f3102,f1015,f434,f211]) ).
fof(f10134,plain,
( ~ sQ10_spl
| ~ sQ105_spl
| sQ169_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f10119,f4812,f1144,f434,f110]) ).
fof(f10135,plain,
( ~ sQ10_spl
| ~ sQ105_spl
| sQ288_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f10120,f4812,f2546,f434,f110]) ).
fof(f10138,plain,
( ~ sQ75_spl
| ~ sQ105_spl
| sQ140_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f10123,f4603,f799,f434,f333]) ).
fof(f10139,plain,
( ~ sQ75_spl
| ~ sQ105_spl
| sQ149_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f10124,f4603,f846,f434,f333]) ).
fof(f10142,plain,
( ~ sQ105_spl
| ~ sQ381_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f4604,f435]) ).
fof(f10143,plain,
( ~ sQ105_spl
| ~ sQ381_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f10142,f421,f4603,f434]) ).
fof(f10144,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ50_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1352,f435]) ).
fof(f10146,plain,
( ~ sQ105_spl
| ~ sQ50_spl
| sQ140_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f10144,f9346,f799,f248,f434]) ).
fof(f10148,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ50_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1353,f435]) ).
fof(f10150,plain,
( ~ sQ105_spl
| ~ sQ50_spl
| sQ228_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f10148,f9346,f1809,f248,f434]) ).
fof(f10152,plain,
( ~ sQ105_spl
| ~ sQ450_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f9347,f435]) ).
fof(f10153,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ80_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1624,f435]) ).
fof(f10155,plain,
( ~ sQ105_spl
| ~ sQ80_spl
| sQ132_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f10153,f4791,f657,f349,f434]) ).
fof(f10158,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ90_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1538,f435]) ).
fof(f10159,plain,
( ~ sQ105_spl
| ~ sQ90_spl
| sQ149_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f10158,f2370,f846,f381,f434]) ).
fof(f10160,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ90_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1537,f435]) ).
fof(f10161,plain,
( ~ sQ105_spl
| ~ sQ90_spl
| sQ156_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f10160,f2370,f1015,f381,f434]) ).
fof(f10162,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ120_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1864,f435]) ).
fof(f10163,definition,
! [X0] :
( sQ456_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ456_spl])],[split_symbol_definition]) ).
fof(f10164,plain,
! [X0] :
( ~ sQ456_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f10163]) ).
fof(f10166,plain,
( ~ sQ105_spl
| ~ sQ120_spl
| sQ154_spl
| sQ456_spl ),
inference(split_clause,[status(thm)],[f10162,f10163,f1005,f482,f434]) ).
fof(f10167,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ120_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1865,f435]) ).
fof(f10168,plain,
( ~ sQ105_spl
| ~ sQ120_spl
| sQ126_spl
| sQ456_spl ),
inference(split_clause,[status(thm)],[f10167,f10163,f507,f482,f434]) ).
fof(f10173,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ30_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f957,f435]) ).
fof(f10174,plain,
( ~ sQ105_spl
| ~ sQ30_spl
| sQ136_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f10173,f4800,f771,f179,f434]) ).
fof(f10185,plain,
( ~ sQ105_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f2115,f435]) ).
fof(f10186,plain,
( ~ sQ101_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f422,f2146]) ).
fof(f10187,plain,
( ~ sQ101_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f422,f2145]) ).
fof(f10188,plain,
( ~ sQ101_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f422,f2144]) ).
fof(f10189,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ101_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f422,f943]) ).
fof(f10190,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ101_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f422,f944]) ).
fof(f10191,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f422,f2147]) ).
fof(f10192,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f422,f2148]) ).
fof(f10198,plain,
( ~ sQ31_spl
| ~ sQ101_spl
| sQ199_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f10189,f2202,f1450,f421,f182]) ).
fof(f10199,plain,
( ~ sQ31_spl
| ~ sQ101_spl
| sQ136_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f10190,f2202,f771,f421,f182]) ).
fof(f10200,plain,
( ~ sQ101_spl
| sQ138_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f10191,f3675,f786,f421]) ).
fof(f10201,plain,
( ~ sQ101_spl
| sQ126_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f10192,f3675,f507,f421]) ).
fof(f10202,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f176,f967]) ).
fof(f10203,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f176,f966]) ).
fof(f10204,plain,
( ~ sQ29_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f176,f965]) ).
fof(f10218,plain,
( ~ sQ37_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f202,f867]) ).
fof(f10219,plain,
( ~ sQ37_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f202,f866]) ).
fof(f10220,plain,
( ~ sQ37_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f202,f865]) ).
fof(f10221,plain,
( ~ sQ316_spl
| ~ sQ37_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f202,f3213]) ).
fof(f10222,plain,
( ~ sQ415_spl
| ~ sQ37_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f202,f5969]) ).
fof(f10227,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ37_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f202,f2243]) ).
fof(f10228,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ37_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f202,f2242]) ).
fof(f10240,plain,
( ~ sQ2_spl
| ~ sQ37_spl
| sQ140_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f10227,f2274,f799,f201,f84]) ).
fof(f10241,plain,
( ~ sQ2_spl
| ~ sQ37_spl
| sQ158_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f10228,f2274,f1043,f201,f84]) ).
fof(f10246,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ112_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2022,f202]) ).
fof(f10247,plain,
( ~ sQ37_spl
| ~ sQ112_spl
| sQ154_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f10246,f5069,f1005,f456,f201]) ).
fof(f10248,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ112_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2021,f202]) ).
fof(f10249,plain,
( ~ sQ37_spl
| ~ sQ112_spl
| sQ130_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f10248,f5069,f643,f456,f201]) ).
fof(f10250,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ92_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1517,f202]) ).
fof(f10251,plain,
( ~ sQ37_spl
| ~ sQ92_spl
| sQ156_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f10250,f2377,f1015,f387,f201]) ).
fof(f10252,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ92_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1516,f202]) ).
fof(f10253,plain,
( ~ sQ37_spl
| ~ sQ92_spl
| sQ177_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f10252,f2377,f1208,f387,f201]) ).
fof(f10256,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ121_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1857,f422]) ).
fof(f10257,plain,
( ~ sQ101_spl
| ~ sQ121_spl
| sQ126_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f10256,f5254,f507,f485,f421]) ).
fof(f10258,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ80_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1625,f435]) ).
fof(f10259,plain,
( ~ sQ105_spl
| ~ sQ80_spl
| sQ149_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f10258,f4791,f846,f349,f434]) ).
fof(f10260,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ72_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1052,f202]) ).
fof(f10261,plain,
( ~ sQ37_spl
| ~ sQ72_spl
| sQ144_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f10260,f1127,f820,f318,f201]) ).
fof(f10270,plain,
( ~ sQ101_spl
| ~ sQ340_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f3625,f422]) ).
fof(f10273,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ82_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1612,f202]) ).
fof(f10274,plain,
( ~ sQ37_spl
| ~ sQ82_spl
| sQ156_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f10273,f5758,f1015,f355,f201]) ).
fof(f10275,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ82_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1611,f202]) ).
fof(f10276,plain,
( ~ sQ37_spl
| ~ sQ82_spl
| sQ163_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f10275,f5758,f1115,f355,f201]) ).
fof(f10277,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ56_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1318,f422]) ).
fof(f10278,definition,
! [X0] :
( sQ457_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ457_spl])],[split_symbol_definition]) ).
fof(f10279,plain,
! [X0] :
( ~ sQ457_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f10278]) ).
fof(f10281,plain,
( ~ sQ101_spl
| ~ sQ56_spl
| sQ228_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f10277,f10278,f1809,f267,f421]) ).
fof(f10282,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ56_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1317,f422]) ).
fof(f10283,plain,
( ~ sQ101_spl
| ~ sQ56_spl
| sQ199_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f10282,f10278,f1450,f267,f421]) ).
fof(f10288,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ86_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1585,f422]) ).
fof(f10289,plain,
( ~ sQ101_spl
| ~ sQ86_spl
| sQ149_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f10288,f9831,f846,f368,f421]) ).
fof(f10290,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ86_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1584,f422]) ).
fof(f10291,plain,
( ~ sQ101_spl
| ~ sQ86_spl
| sQ220_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f10290,f9831,f1718,f368,f421]) ).
fof(f10292,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ46_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f722,f422]) ).
fof(f10293,plain,
( ~ sQ101_spl
| ~ sQ46_spl
| sQ188_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f10292,f7306,f1394,f230,f421]) ).
fof(f10294,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ46_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f723,f422]) ).
fof(f10295,plain,
( ~ sQ101_spl
| ~ sQ46_spl
| sQ136_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f10294,f7306,f771,f230,f421]) ).
fof(f10300,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ16_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f582,f422]) ).
fof(f10301,plain,
( ~ sQ101_spl
| ~ sQ16_spl
| sQ169_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f10300,f2158,f1144,f129,f421]) ).
fof(f10302,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ30_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f956,f435]) ).
fof(f10303,plain,
( ~ sQ105_spl
| ~ sQ30_spl
| sQ132_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f10302,f4800,f657,f179,f434]) ).
fof(f10304,plain,
( ~ sQ105_spl
| ~ sQ381_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f4604,f435]) ).
fof(f10305,plain,
( ~ sQ105_spl
| ~ sQ265_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f2245,f435]) ).
fof(f10324,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ115_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1918,f435]) ).
fof(f10325,plain,
( ~ sQ105_spl
| ~ sQ115_spl
| sQ126_spl
| sQ419_spl ),
inference(split_clause,[status(thm)],[f10324,f6266,f507,f466,f434]) ).
fof(f10330,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ65_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1084,f435]) ).
fof(f10331,plain,
( ~ sQ105_spl
| ~ sQ65_spl
| sQ156_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f10330,f4805,f1015,f296,f434]) ).
fof(f10332,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ65_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1085,f435]) ).
fof(f10333,plain,
( ~ sQ105_spl
| ~ sQ65_spl
| sQ228_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f10332,f4805,f1809,f296,f434]) ).
fof(f10334,plain,
( ~ sQ105_spl
| ~ sQ115_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1915,f435]) ).
fof(f10335,plain,
( ~ sQ105_spl
| ~ sQ115_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f10334,f1015,f466,f434]) ).
fof(f10336,plain,
( ~ sQ105_spl
| ~ sQ390_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f4801,f435]) ).
fof(f10337,plain,
( ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f218,f738]) ).
fof(f10338,plain,
( ~ sQ42_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f737]) ).
fof(f10340,plain,
( ~ sQ42_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f218,f736]) ).
fof(f10346,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ42_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f218,f1052]) ).
fof(f10347,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ42_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f218,f1053]) ).
fof(f10359,plain,
( ~ sQ72_spl
| ~ sQ42_spl
| sQ146_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f10346,f1110,f827,f217,f318]) ).
fof(f10360,plain,
( ~ sQ72_spl
| ~ sQ42_spl
| sQ288_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f10347,f1110,f2546,f217,f318]) ).
fof(f10363,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f755]) ).
fof(f10364,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f754]) ).
fof(f10365,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f753]) ).
fof(f10367,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ38_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f205,f1884]) ).
fof(f10368,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ38_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f205,f1883]) ).
fof(f10380,plain,
( ~ sQ118_spl
| ~ sQ38_spl
| sQ154_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f10367,f1909,f1005,f204,f475]) ).
fof(f10381,plain,
( ~ sQ118_spl
| ~ sQ38_spl
| sQ177_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f10368,f1909,f1208,f204,f475]) ).
fof(f10388,plain,
( ~ sQ85_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f366,f1593]) ).
fof(f10389,plain,
( ~ sQ75_spl
| ~ sQ85_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f366,f1779]) ).
fof(f10390,plain,
( ~ sQ85_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f366,f1592]) ).
fof(f10391,plain,
( ~ sQ85_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f366,f1591]) ).
fof(f10392,plain,
( ~ sQ444_spl
| ~ sQ85_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f366,f8560]) ).
fof(f10393,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ85_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f366,f1085]) ).
fof(f10394,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ85_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f366,f1084]) ).
fof(f10395,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ85_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f366,f2315]) ).
fof(f10396,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ85_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f366,f2316]) ).
fof(f10397,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ85_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f366,f1781]) ).
fof(f10398,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ85_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f366,f1782]) ).
fof(f10399,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ85_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f366,f591]) ).
fof(f10400,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ85_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f366,f592]) ).
fof(f10401,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ85_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f366,f727]) ).
fof(f10402,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ85_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f366,f728]) ).
fof(f10404,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f366,f1595]) ).
fof(f10405,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ85_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f366,f2116]) ).
fof(f10406,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ85_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f366,f2117]) ).
fof(f10412,plain,
( ~ sQ75_spl
| ~ sQ85_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f10389,f1043,f365,f333]) ).
fof(f10413,plain,
( ~ sQ65_spl
| ~ sQ85_spl
| sQ203_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f10393,f10097,f1521,f365,f296]) ).
fof(f10414,plain,
( ~ sQ65_spl
| ~ sQ85_spl
| sQ177_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f10394,f10097,f1208,f365,f296]) ).
fof(f10415,plain,
( ~ sQ0_spl
| ~ sQ85_spl
| sQ158_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f10395,f2269,f1043,f365,f78]) ).
fof(f10416,plain,
( ~ sQ0_spl
| ~ sQ85_spl
| sQ167_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f10396,f2269,f1137,f365,f78]) ).
fof(f10417,plain,
( ~ sQ75_spl
| ~ sQ85_spl
| sQ158_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f10397,f3450,f1043,f365,f333]) ).
fof(f10418,plain,
( ~ sQ75_spl
| ~ sQ85_spl
| sQ128_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f10398,f3450,f553,f365,f333]) ).
fof(f10419,plain,
( ~ sQ15_spl
| ~ sQ85_spl
| sQ177_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f10399,f4089,f1208,f365,f126]) ).
fof(f10420,plain,
( ~ sQ15_spl
| ~ sQ85_spl
| sQ167_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f10400,f4089,f1137,f365,f126]) ).
fof(f10421,plain,
( ~ sQ45_spl
| ~ sQ85_spl
| sQ144_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f10401,f3345,f820,f365,f227]) ).
fof(f10422,plain,
( ~ sQ45_spl
| ~ sQ85_spl
| sQ134_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f10402,f3345,f764,f365,f227]) ).
fof(f10424,plain,
( ~ sQ85_spl
| sQ128_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f10404,f1683,f553,f365]) ).
fof(f10425,plain,
( ~ sQ105_spl
| ~ sQ85_spl
| sQ163_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f10405,f3999,f1115,f365,f434]) ).
fof(f10426,plain,
( ~ sQ105_spl
| ~ sQ85_spl
| sQ146_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f10406,f3999,f827,f365,f434]) ).
fof(f10433,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ13_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f611,f205]) ).
fof(f10434,plain,
( ~ sQ38_spl
| ~ sQ13_spl
| sQ130_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f10433,f2869,f643,f119,f204]) ).
fof(f10435,plain,
( ~ sQ38_spl
| ~ sQ13_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f608,f205]) ).
fof(f10436,plain,
( ~ sQ38_spl
| ~ sQ13_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f10435,f799,f119,f204]) ).
fof(f10437,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f9930]) ).
fof(f10438,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f9929]) ).
fof(f10439,plain,
( ~ sQ45_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f228,f9928]) ).
fof(f10457,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f167,f997]) ).
fof(f10458,plain,
( ~ sQ26_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f167,f996]) ).
fof(f10459,plain,
( ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f995]) ).
fof(f10464,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ26_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f167,f1231]) ).
fof(f10465,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ26_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f167,f1230]) ).
fof(f10477,plain,
( ~ sQ61_spl
| ~ sQ26_spl
| sQ288_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f10464,f1235,f2546,f166,f283]) ).
fof(f10478,plain,
( ~ sQ61_spl
| ~ sQ26_spl
| sQ220_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f10465,f1235,f1718,f166,f283]) ).
fof(f10481,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f10482,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f10483,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f10502,plain,
( ~ sQ72_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f319,f1051]) ).
fof(f10503,plain,
( ~ sQ72_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f319,f1050]) ).
fof(f10504,plain,
( ~ sQ72_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f319,f1049]) ).
fof(f10514,plain,
( ~ sQ75_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f334,f1780]) ).
fof(f10515,plain,
( ~ sQ75_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f334,f1779]) ).
fof(f10516,plain,
( ~ sQ0_spl
| ~ sQ75_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f334,f2312]) ).
fof(f10517,plain,
( ~ sQ75_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f334,f1778]) ).
fof(f10518,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ75_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f334,f2315]) ).
fof(f10519,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ75_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f334,f2316]) ).
fof(f10529,plain,
( ~ sQ0_spl
| ~ sQ75_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f10516,f1137,f333,f78]) ).
fof(f10530,plain,
( ~ sQ0_spl
| ~ sQ75_spl
| sQ138_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f10518,f2254,f786,f333,f78]) ).
fof(f10531,plain,
( ~ sQ0_spl
| ~ sQ75_spl
| sQ167_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f10519,f2254,f1137,f333,f78]) ).
fof(f10545,plain,
( ~ sQ45_spl
| ~ sQ276_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f2324,f228]) ).
fof(f10558,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ103_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2137,f205]) ).
fof(f10559,plain,
( ~ sQ38_spl
| ~ sQ103_spl
| sQ158_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f10558,f2501,f1043,f427,f204]) ).
fof(f10560,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ103_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2138,f205]) ).
fof(f10561,plain,
( ~ sQ38_spl
| ~ sQ103_spl
| sQ154_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f10560,f2501,f1005,f427,f204]) ).
fof(f10599,plain,
( ~ sQ26_spl
| ~ sQ51_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1344,f167]) ).
fof(f10600,plain,
( ~ sQ26_spl
| ~ sQ51_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f10599,f2546,f251,f166]) ).
fof(f10601,plain,
( ~ sQ38_spl
| ~ sQ63_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1199,f205]) ).
fof(f10602,plain,
( ~ sQ38_spl
| ~ sQ63_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f10601,f2546,f289,f204]) ).
fof(f10603,plain,
( ~ sQ6_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f98,f687]) ).
fof(f10604,plain,
( ~ sQ6_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f98,f686]) ).
fof(f10605,plain,
( ~ sQ6_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f98,f685]) ).
fof(f10606,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ6_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f98,f1057]) ).
fof(f10607,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ6_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f98,f1058]) ).
fof(f10617,plain,
( ~ sQ71_spl
| ~ sQ6_spl
| sQ154_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f10606,f1039,f1005,f97,f315]) ).
fof(f10618,plain,
( ~ sQ71_spl
| ~ sQ6_spl
| sQ220_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f10607,f1039,f1718,f97,f315]) ).
fof(f10627,plain,
( ~ sQ45_spl
| ~ sQ400_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f5255,f228]) ).
fof(f10645,plain,
( ~ sQ105_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f435,f2115]) ).
fof(f10646,plain,
( ~ sQ105_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f435,f2114]) ).
fof(f10647,plain,
( ~ sQ105_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f435,f2113]) ).
fof(f10648,plain,
( ~ sQ389_spl
| ~ sQ105_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f435,f4792]) ).
fof(f10679,plain,
( ~ sQ92_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f388,f1515]) ).
fof(f10680,plain,
( ~ sQ97_spl
| ~ sQ92_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f388,f1375]) ).
fof(f10681,plain,
( ~ sQ92_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f388,f1514]) ).
fof(f10682,plain,
( ~ sQ92_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f388,f1513]) ).
fof(f10684,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ92_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f388,f2021]) ).
fof(f10685,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ92_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f388,f2022]) ).
fof(f10686,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ92_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f388,f869]) ).
fof(f10687,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ92_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f388,f868]) ).
fof(f10688,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ92_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f388,f1377]) ).
fof(f10689,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ92_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f388,f1378]) ).
fof(f10690,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ92_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f388,f524]) ).
fof(f10691,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ92_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f388,f525]) ).
fof(f10701,plain,
( ~ sQ97_spl
| ~ sQ92_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f10680,f827,f387,f403]) ).
fof(f10702,plain,
( ~ sQ112_spl
| ~ sQ92_spl
| sQ203_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f10684,f4714,f1521,f387,f456]) ).
fof(f10703,plain,
( ~ sQ112_spl
| ~ sQ92_spl
| sQ146_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f10685,f4714,f827,f387,f456]) ).
fof(f10704,plain,
( ~ sQ37_spl
| ~ sQ92_spl
| sQ134_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f10686,f2377,f764,f387,f201]) ).
fof(f10705,plain,
( ~ sQ37_spl
| ~ sQ92_spl
| sQ203_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f10687,f2377,f1521,f387,f201]) ).
fof(f10706,plain,
( ~ sQ97_spl
| ~ sQ92_spl
| sQ146_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f10688,f7193,f827,f387,f403]) ).
fof(f10707,plain,
( ~ sQ97_spl
| ~ sQ92_spl
| sQ128_spl
| sQ429_spl ),
inference(split_clause,[status(thm)],[f10689,f7193,f553,f387,f403]) ).
fof(f10708,plain,
( ~ sQ22_spl
| ~ sQ92_spl
| sQ146_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f10690,f2681,f827,f387,f148]) ).
fof(f10709,plain,
( ~ sQ22_spl
| ~ sQ92_spl
| sQ167_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f10691,f2681,f1137,f387,f148]) ).
fof(f10722,plain,
( ~ sQ45_spl
| ~ sQ40_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f747,f228]) ).
fof(f10723,plain,
( ~ sQ45_spl
| ~ sQ40_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f10722,f846,f211,f227]) ).
fof(f10740,plain,
( ~ sQ50_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f249,f1351]) ).
fof(f10741,plain,
( ~ sQ55_spl
| ~ sQ50_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f249,f1325]) ).
fof(f10742,plain,
( ~ sQ50_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f249,f1350]) ).
fof(f10743,plain,
( ~ sQ0_spl
| ~ sQ50_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f249,f2312]) ).
fof(f10744,plain,
( ~ sQ50_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f249,f1349]) ).
fof(f10745,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ50_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f249,f1328]) ).
fof(f10746,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ50_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f249,f1327]) ).
fof(f10747,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ50_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f249,f1918]) ).
fof(f10748,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ50_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f249,f1917]) ).
fof(f10749,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ50_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f249,f2315]) ).
fof(f10750,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ50_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f249,f2316]) ).
fof(f10751,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ50_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f249,f1594]) ).
fof(f10752,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ50_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f249,f1595]) ).
fof(f10753,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ50_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f249,f1625]) ).
fof(f10754,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ50_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f249,f1624]) ).
fof(f10755,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f249,f1353]) ).
fof(f10756,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f249,f1352]) ).
fof(f10757,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ50_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f249,f727]) ).
fof(f10758,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ50_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f249,f728]) ).
fof(f10764,plain,
( ~ sQ55_spl
| ~ sQ50_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f10741,f1450,f248,f264]) ).
fof(f10765,plain,
( ~ sQ0_spl
| ~ sQ50_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f10743,f1043,f248,f78]) ).
fof(f10766,plain,
( ~ sQ55_spl
| ~ sQ50_spl
| sQ130_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f10745,f8046,f643,f248,f264]) ).
fof(f10767,plain,
( ~ sQ55_spl
| ~ sQ50_spl
| sQ199_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f10746,f8046,f1450,f248,f264]) ).
fof(f10768,definition,
! [X0] :
( sQ458_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ458_spl])],[split_symbol_definition]) ).
fof(f10769,plain,
! [X0] :
( ~ sQ458_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f10768]) ).
fof(f10771,plain,
( ~ sQ115_spl
| ~ sQ50_spl
| sQ144_spl
| sQ458_spl ),
inference(split_clause,[status(thm)],[f10747,f10768,f820,f248,f466]) ).
fof(f10772,plain,
( ~ sQ115_spl
| ~ sQ50_spl
| sQ195_spl
| sQ458_spl ),
inference(split_clause,[status(thm)],[f10748,f10768,f1429,f248,f466]) ).
fof(f10773,plain,
( ~ sQ0_spl
| ~ sQ50_spl
| sQ138_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f10749,f2295,f786,f248,f78]) ).
fof(f10774,plain,
( ~ sQ0_spl
| ~ sQ50_spl
| sQ158_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f10750,f2295,f1043,f248,f78]) ).
fof(f10775,definition,
! [X0] :
( sQ459_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ459_spl])],[split_symbol_definition]) ).
fof(f10776,plain,
! [X0] :
( ~ sQ459_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f10775]) ).
fof(f10778,plain,
( ~ sQ85_spl
| ~ sQ50_spl
| sQ220_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f10751,f10775,f1718,f248,f365]) ).
fof(f10779,plain,
( ~ sQ85_spl
| ~ sQ50_spl
| sQ177_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f10752,f10775,f1208,f248,f365]) ).
fof(f10780,definition,
! [X0] :
( sQ460_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ460_spl])],[split_symbol_definition]) ).
fof(f10781,plain,
! [X0] :
( ~ sQ460_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f10780]) ).
fof(f10783,plain,
( ~ sQ80_spl
| ~ sQ50_spl
| sQ177_spl
| sQ460_spl ),
inference(split_clause,[status(thm)],[f10753,f10780,f1208,f248,f349]) ).
fof(f10784,plain,
( ~ sQ80_spl
| ~ sQ50_spl
| sQ199_spl
| sQ460_spl ),
inference(split_clause,[status(thm)],[f10754,f10780,f1450,f248,f349]) ).
fof(f10785,plain,
( ~ sQ50_spl
| sQ130_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f10755,f7043,f643,f248]) ).
fof(f10786,plain,
( ~ sQ50_spl
| sQ138_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f10756,f7043,f786,f248]) ).
fof(f10787,plain,
( ~ sQ45_spl
| ~ sQ50_spl
| sQ188_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f10757,f1442,f1394,f248,f227]) ).
fof(f10788,plain,
( ~ sQ45_spl
| ~ sQ50_spl
| sQ163_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f10758,f1442,f1115,f248,f227]) ).
fof(f10789,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f176,f967]) ).
fof(f10790,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f176,f966]) ).
fof(f10791,plain,
( ~ sQ29_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f176,f965]) ).
fof(f10792,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ29_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f176,f604]) ).
fof(f10793,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ29_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f176,f603]) ).
fof(f10801,plain,
( ~ sQ14_spl
| ~ sQ29_spl
| sQ140_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f10792,f3403,f799,f175,f122]) ).
fof(f10802,plain,
( ~ sQ14_spl
| ~ sQ29_spl
| sQ220_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f10793,f3403,f1718,f175,f122]) ).
fof(f10805,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ90_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1538,f249]) ).
fof(f10806,plain,
( ~ sQ50_spl
| ~ sQ90_spl
| sQ177_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f10805,f1518,f1208,f381,f248]) ).
fof(f10807,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ90_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1537,f249]) ).
fof(f10808,plain,
( ~ sQ50_spl
| ~ sQ90_spl
| sQ195_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f10807,f1518,f1429,f381,f248]) ).
fof(f10809,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ120_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1864,f249]) ).
fof(f10810,plain,
( ~ sQ50_spl
| ~ sQ120_spl
| sQ188_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f10809,f1814,f1394,f482,f248]) ).
fof(f10811,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ120_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1865,f249]) ).
fof(f10812,plain,
( ~ sQ50_spl
| ~ sQ120_spl
| sQ144_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f10811,f1814,f820,f482,f248]) ).
fof(f10813,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ4_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f705,f176]) ).
fof(f10814,plain,
( ~ sQ29_spl
| ~ sQ4_spl
| sQ138_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f10813,f4450,f786,f90,f175]) ).
fof(f10815,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ4_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f706,f176]) ).
fof(f10816,plain,
( ~ sQ29_spl
| ~ sQ4_spl
| sQ140_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f10815,f4450,f799,f90,f175]) ).
fof(f10817,plain,
( ~ sQ82_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f356,f1610]) ).
fof(f10818,plain,
( ~ sQ82_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f356,f1609]) ).
fof(f10819,plain,
( ~ sQ82_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f356,f1608]) ).
fof(f10820,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ82_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f356,f1894]) ).
fof(f10821,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ82_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f356,f1895]) ).
fof(f10822,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ82_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f356,f1343]) ).
fof(f10823,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ82_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f356,f1342]) ).
fof(f10824,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ82_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f356,f869]) ).
fof(f10825,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ82_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f356,f868]) ).
fof(f10826,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ82_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f356,f2243]) ).
fof(f10827,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ82_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f356,f2242]) ).
fof(f10835,definition,
! [X0] :
( sQ461_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ461_spl])],[split_symbol_definition]) ).
fof(f10836,plain,
! [X0] :
( ~ sQ461_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f10835]) ).
fof(f10838,plain,
( ~ sQ117_spl
| ~ sQ82_spl
| sQ156_spl
| sQ461_spl ),
inference(split_clause,[status(thm)],[f10820,f10835,f1015,f355,f472]) ).
fof(f10839,plain,
( ~ sQ117_spl
| ~ sQ82_spl
| sQ146_spl
| sQ461_spl ),
inference(split_clause,[status(thm)],[f10821,f10835,f827,f355,f472]) ).
fof(f10840,plain,
( ~ sQ52_spl
| ~ sQ82_spl
| sQ203_spl
| sQ460_spl ),
inference(split_clause,[status(thm)],[f10822,f10780,f1521,f355,f254]) ).
fof(f10841,plain,
( ~ sQ52_spl
| ~ sQ82_spl
| sQ140_spl
| sQ460_spl ),
inference(split_clause,[status(thm)],[f10823,f10780,f799,f355,f254]) ).
fof(f10842,plain,
( ~ sQ37_spl
| ~ sQ82_spl
| sQ134_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f10824,f5758,f764,f355,f201]) ).
fof(f10843,plain,
( ~ sQ37_spl
| ~ sQ82_spl
| sQ288_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f10825,f5758,f2546,f355,f201]) ).
fof(f10844,plain,
( ~ sQ2_spl
| ~ sQ82_spl
| sQ167_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f10826,f2300,f1137,f355,f84]) ).
fof(f10845,plain,
( ~ sQ2_spl
| ~ sQ82_spl
| sQ140_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f10827,f2300,f799,f355,f84]) ).
fof(f10848,plain,
( ~ sQ90_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f382,f1536]) ).
fof(f10849,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f382,f1535]) ).
fof(f10850,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f382,f1534]) ).
fof(f10851,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ90_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f382,f540]) ).
fof(f10852,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ90_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f382,f541]) ).
fof(f10854,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ90_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f382,f1595]) ).
fof(f10857,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ90_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f382,f1026]) ).
fof(f10858,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ90_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f382,f1025]) ).
fof(f10859,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ90_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f382,f1865]) ).
fof(f10868,plain,
( ~ sQ20_spl
| ~ sQ90_spl
| sQ146_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f10851,f2681,f827,f381,f142]) ).
fof(f10869,plain,
( ~ sQ20_spl
| ~ sQ90_spl
| sQ167_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f10852,f2681,f1137,f381,f142]) ).
fof(f10870,definition,
! [X0] :
( sQ462_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ462_spl])],[split_symbol_definition]) ).
fof(f10871,plain,
! [X0] :
( ~ sQ462_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f10870]) ).
fof(f10874,plain,
( ~ sQ85_spl
| ~ sQ90_spl
| sQ128_spl
| sQ462_spl ),
inference(split_clause,[status(thm)],[f10854,f10870,f553,f381,f365]) ).
fof(f10877,plain,
( ~ sQ25_spl
| ~ sQ90_spl
| sQ134_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f10857,f5337,f764,f381,f163]) ).
fof(f10878,plain,
( ~ sQ25_spl
| ~ sQ90_spl
| sQ167_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f10858,f5337,f1137,f381,f163]) ).
fof(f10879,plain,
( ~ sQ120_spl
| ~ sQ90_spl
| sQ146_spl
| sQ446_spl ),
inference(split_clause,[status(thm)],[f10859,f8638,f827,f381,f482]) ).
fof(f10883,plain,
( ~ sQ90_spl
| ~ sQ461_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f10836,f382]) ).
fof(f10884,plain,
( ~ sQ90_spl
| ~ sQ85_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1592,f382]) ).
fof(f10885,plain,
( ~ sQ90_spl
| ~ sQ85_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f10884,f1521,f365,f381]) ).
fof(f10886,plain,
( ~ sQ90_spl
| ~ sQ423_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f6496,f382]) ).
fof(f10887,plain,
( ~ sQ90_spl
| ~ sQ423_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f10886,f368,f6495,f381]) ).
fof(f10896,plain,
( ~ sQ46_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f231,f721]) ).
fof(f10897,plain,
( ~ sQ46_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f231,f720]) ).
fof(f10898,plain,
( ~ sQ71_spl
| ~ sQ46_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f231,f1054]) ).
fof(f10899,plain,
( ~ sQ242_spl
| ~ sQ46_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f231,f1990]) ).
fof(f10900,plain,
( ~ sQ300_spl
| ~ sQ46_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f231,f2779]) ).
fof(f10901,plain,
( ~ sQ46_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f231,f719]) ).
fof(f10904,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ46_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f231,f1317]) ).
fof(f10905,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ46_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f231,f1318]) ).
fof(f10906,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ46_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f231,f1057]) ).
fof(f10907,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ46_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f231,f1058]) ).
fof(f10910,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ46_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f231,f582]) ).
fof(f10911,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ46_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f231,f581]) ).
fof(f10919,plain,
( ~ sQ71_spl
| ~ sQ46_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f10898,f2546,f230,f315]) ).
fof(f10922,plain,
( ~ sQ56_spl
| ~ sQ46_spl
| sQ136_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f10904,f4153,f771,f230,f267]) ).
fof(f10923,plain,
( ~ sQ56_spl
| ~ sQ46_spl
| sQ288_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f10905,f4153,f2546,f230,f267]) ).
fof(f10924,plain,
( ~ sQ71_spl
| ~ sQ46_spl
| sQ126_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f10906,f5119,f507,f230,f315]) ).
fof(f10925,plain,
( ~ sQ71_spl
| ~ sQ46_spl
| sQ288_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f10907,f5119,f2546,f230,f315]) ).
fof(f10928,plain,
( ~ sQ16_spl
| ~ sQ46_spl
| sQ140_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f10910,f4094,f799,f230,f129]) ).
fof(f10929,plain,
( ~ sQ16_spl
| ~ sQ46_spl
| sQ149_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f10911,f4094,f846,f230,f129]) ).
fof(f10932,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f1024]) ).
fof(f10933,plain,
( ~ sQ25_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f164,f1023]) ).
fof(f10934,plain,
( ~ sQ25_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1022]) ).
fof(f10959,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ5_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f698,f382]) ).
fof(f10961,plain,
( ~ sQ90_spl
| ~ sQ5_spl
| sQ134_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f10959,f3243,f764,f94,f381]) ).
fof(f10963,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ5_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f699,f382]) ).
fof(f10965,plain,
( ~ sQ90_spl
| ~ sQ5_spl
| sQ167_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f10963,f3243,f1137,f94,f381]) ).
fof(f10966,plain,
( ~ sQ90_spl
| ~ sQ95_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1471,f382]) ).
fof(f10967,plain,
( ~ sQ90_spl
| ~ sQ95_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f10966,f827,f397,f381]) ).
fof(f10972,plain,
( ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f218,f738]) ).
fof(f10973,plain,
( ~ sQ42_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f737]) ).
fof(f10975,plain,
( ~ sQ42_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f218,f736]) ).
fof(f11009,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f530]) ).
fof(f11010,plain,
( ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f529]) ).
fof(f11011,plain,
( ~ sQ431_spl
| ~ sQ21_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f146,f7244]) ).
fof(f11012,plain,
( ~ sQ258_spl
| ~ sQ21_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f146,f2185]) ).
fof(f11013,plain,
( ~ sQ21_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f528]) ).
fof(f11040,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f11041,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f11043,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f11044,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ34_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f192,f1488]) ).
fof(f11046,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ34_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f192,f1067]) ).
fof(f11047,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ34_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f192,f1068]) ).
fof(f11059,plain,
( ~ sQ94_spl
| ~ sQ34_spl
| sQ156_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f11044,f1489,f1015,f191,f393]) ).
fof(f11061,plain,
( ~ sQ69_spl
| ~ sQ34_spl
| sQ156_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f11046,f1175,f1015,f191,f308]) ).
fof(f11062,plain,
( ~ sQ69_spl
| ~ sQ34_spl
| sQ288_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f11047,f1175,f2546,f191,f308]) ).
fof(f11069,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f136,f562]) ).
fof(f11070,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f136,f561]) ).
fof(f11071,plain,
( ~ sQ18_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f560]) ).
fof(f11072,plain,
( ~ sQ290_spl
| ~ sQ18_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f136,f2557]) ).
fof(f11073,plain,
( ~ sQ313_spl
| ~ sQ18_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f136,f3103]) ).
fof(f11076,plain,
( ~ sQ366_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f136,f4191]) ).
fof(f11077,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ18_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f136,f1338]) ).
fof(f11078,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ18_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f136,f1337]) ).
fof(f11090,plain,
( ~ sQ313_spl
| ~ sQ18_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f11073,f94,f135,f3102]) ).
fof(f11091,plain,
( ~ sQ53_spl
| ~ sQ18_spl
| sQ220_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f11077,f1402,f1718,f135,f257]) ).
fof(f11092,plain,
( ~ sQ53_spl
| ~ sQ18_spl
| sQ167_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f11078,f1402,f1137,f135,f257]) ).
fof(f11099,plain,
( ~ sQ48_spl
| ~ sQ430_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f9547,f217,f7235,f236]) ).
fof(f11100,plain,
( ~ sQ173_spl
| ~ sQ92_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f1510,f358,f387,f1175]) ).
fof(f11110,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ122_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1846,f218]) ).
fof(f11111,plain,
( ~ sQ42_spl
| ~ sQ122_spl
| sQ154_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f11110,f2565,f1005,f488,f217]) ).
fof(f11112,plain,
( ~ sQ178_spl
| ~ sQ87_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f1569,f342,f371,f1235]) ).
fof(f11113,plain,
( ~ sQ21_spl
| ~ sQ424_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f6738,f146]) ).
fof(f11114,plain,
( ~ sQ21_spl
| ~ sQ424_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f11113,f116,f6737,f145]) ).
fof(f11116,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ122_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1845,f218]) ).
fof(f11117,plain,
( ~ sQ42_spl
| ~ sQ122_spl
| sQ146_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f11116,f2565,f827,f488,f217]) ).
fof(f11132,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ59_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1279,f192]) ).
fof(f11133,plain,
( ~ sQ34_spl
| ~ sQ59_spl
| sQ132_spl
| sQ437_spl ),
inference(split_clause,[status(thm)],[f11132,f7552,f657,f276,f191]) ).
fof(f11146,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ63_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1203,f136]) ).
fof(f11147,plain,
( ~ sQ18_spl
| ~ sQ63_spl
| sQ220_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f11146,f1204,f1718,f289,f135]) ).
fof(f11148,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ63_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1202,f136]) ).
fof(f11149,plain,
( ~ sQ18_spl
| ~ sQ63_spl
| sQ203_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f11148,f1204,f1521,f289,f135]) ).
fof(f11150,plain,
( ~ sQ18_spl
| ~ sQ68_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2342,f136]) ).
fof(f11151,plain,
( ~ sQ18_spl
| ~ sQ68_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f11150,f1718,f305,f135]) ).
fof(f11152,plain,
( ~ sQ153_spl
| ~ sQ124_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f1792,f443,f494,f1002]) ).
fof(f11154,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ22_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f525,f218]) ).
fof(f11155,plain,
( ~ sQ42_spl
| ~ sQ22_spl
| sQ140_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f11154,f803,f799,f148,f217]) ).
fof(f11156,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ22_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f524,f218]) ).
fof(f11157,plain,
( ~ sQ42_spl
| ~ sQ22_spl
| sQ146_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f11156,f803,f827,f148,f217]) ).
fof(f11158,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ38_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f756,f136]) ).
fof(f11159,plain,
( ~ sQ18_spl
| ~ sQ38_spl
| sQ203_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f11158,f1676,f1521,f204,f135]) ).
fof(f11160,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ38_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f757,f136]) ).
fof(f11161,plain,
( ~ sQ18_spl
| ~ sQ38_spl
| sQ199_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f11160,f1676,f1450,f204,f135]) ).
fof(f11170,plain,
( ~ sQ102_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f425,f2141]) ).
fof(f11171,plain,
( ~ sQ102_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f425,f2140]) ).
fof(f11172,plain,
( ~ sQ102_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f425,f2139]) ).
fof(f11194,plain,
( ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f95,f697]) ).
fof(f11195,plain,
( ~ sQ5_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f95,f696]) ).
fof(f11196,plain,
( ~ sQ5_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f95,f695]) ).
fof(f11197,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ5_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f95,f1594]) ).
fof(f11198,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ5_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f95,f1595]) ).
fof(f11200,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ5_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f95,f1917]) ).
fof(f11210,plain,
( ~ sQ85_spl
| ~ sQ5_spl
| sQ288_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f11197,f3849,f2546,f94,f365]) ).
fof(f11211,plain,
( ~ sQ85_spl
| ~ sQ5_spl
| sQ195_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f11198,f3849,f1429,f94,f365]) ).
fof(f11213,plain,
( ~ sQ115_spl
| ~ sQ5_spl
| sQ156_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f11200,f3219,f1015,f94,f466]) ).
fof(f11218,plain,
( ~ sQ115_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f467,f1916]) ).
fof(f11219,plain,
( ~ sQ115_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f467,f1915]) ).
fof(f11220,plain,
( ~ sQ232_spl
| ~ sQ115_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f467,f1910]) ).
fof(f11221,plain,
( ~ sQ423_spl
| ~ sQ115_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f467,f6496]) ).
fof(f11223,plain,
( ~ sQ115_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f467,f1914]) ).
fof(f11224,plain,
( ~ sQ317_spl
| ~ sQ115_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f467,f3220]) ).
fof(f11225,plain,
( ~ sQ401_spl
| ~ sQ115_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f467,f5327]) ).
fof(f11230,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ115_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f467,f699]) ).
fof(f11231,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ115_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f467,f698]) ).
fof(f11232,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ115_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f467,f1026]) ).
fof(f11233,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ115_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f467,f1025]) ).
fof(f11243,plain,
( ~ sQ5_spl
| ~ sQ115_spl
| sQ169_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f11230,f3219,f1144,f466,f94]) ).
fof(f11244,plain,
( ~ sQ5_spl
| ~ sQ115_spl
| sQ134_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f11231,f3219,f764,f466,f94]) ).
fof(f11245,plain,
( ~ sQ25_spl
| ~ sQ115_spl
| sQ136_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f11232,f5326,f771,f466,f163]) ).
fof(f11246,plain,
( ~ sQ25_spl
| ~ sQ115_spl
| sQ167_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f11233,f5326,f1137,f466,f163]) ).
fof(f11248,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ60_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1261,f95]) ).
fof(f11251,plain,
( ~ sQ5_spl
| ~ sQ60_spl
| sQ220_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f11248,f3212,f1718,f280,f94]) ).
fof(f11259,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ55_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1327,f467]) ).
fof(f11262,plain,
( ~ sQ115_spl
| ~ sQ55_spl
| sQ134_spl
| sQ441_spl ),
inference(split_clause,[status(thm)],[f11259,f8053,f764,f264,f466]) ).
fof(f11265,plain,
( ~ sQ115_spl
| ~ sQ441_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f8054,f467]) ).
fof(f11266,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ55_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1328,f467]) ).
fof(f11269,plain,
( ~ sQ115_spl
| ~ sQ55_spl
| sQ228_spl
| sQ441_spl ),
inference(split_clause,[status(thm)],[f11266,f8053,f1809,f264,f466]) ).
fof(f11280,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ70_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1063,f467]) ).
fof(f11281,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ70_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1063,f95]) ).
fof(f11283,plain,
( ~ sQ115_spl
| ~ sQ70_spl
| sQ228_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f11280,f5512,f1809,f312,f466]) ).
fof(f11284,plain,
( ~ sQ5_spl
| ~ sQ70_spl
| sQ220_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f11281,f1039,f1718,f312,f94]) ).
fof(f11286,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ70_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1062,f467]) ).
fof(f11289,plain,
( ~ sQ115_spl
| ~ sQ70_spl
| sQ146_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f11286,f5512,f827,f312,f466]) ).
fof(f11304,plain,
( ~ sQ5_spl
| ~ sQ55_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1324,f95]) ).
fof(f11305,plain,
( ~ sQ5_spl
| ~ sQ55_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f11304,f1718,f264,f94]) ).
fof(f11306,plain,
( ~ sQ79_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f346,f1629]) ).
fof(f11307,plain,
( ~ sQ94_spl
| ~ sQ79_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f346,f1485]) ).
fof(f11308,plain,
( ~ sQ79_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f346,f1628]) ).
fof(f11309,plain,
( ~ sQ79_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f346,f1627]) ).
fof(f11310,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ79_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f346,f1923]) ).
fof(f11311,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ79_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f346,f1922]) ).
fof(f11312,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ79_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f346,f1488]) ).
fof(f11313,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ79_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f346,f1487]) ).
fof(f11314,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ79_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f346,f1805]) ).
fof(f11315,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ79_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f346,f1804]) ).
fof(f11316,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f346,f1631]) ).
fof(f11317,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f346,f1630]) ).
fof(f11318,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ79_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f346,f908]) ).
fof(f11319,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ79_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f346,f909]) ).
fof(f11325,plain,
( ~ sQ94_spl
| ~ sQ79_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f11307,f1429,f345,f393]) ).
fof(f11326,plain,
( ~ sQ114_spl
| ~ sQ79_spl
| sQ146_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f11310,f3591,f827,f345,f462]) ).
fof(f11327,plain,
( ~ sQ114_spl
| ~ sQ79_spl
| sQ220_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f11311,f3591,f1718,f345,f462]) ).
fof(f11328,plain,
( ~ sQ94_spl
| ~ sQ79_spl
| sQ128_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f11312,f3596,f553,f345,f393]) ).
fof(f11329,plain,
( ~ sQ94_spl
| ~ sQ79_spl
| sQ195_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f11313,f3596,f1429,f345,f393]) ).
fof(f11330,plain,
( ~ sQ124_spl
| ~ sQ79_spl
| sQ146_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f11314,f1932,f827,f345,f494]) ).
fof(f11331,plain,
( ~ sQ124_spl
| ~ sQ79_spl
| sQ188_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f11315,f1932,f1394,f345,f494]) ).
fof(f11332,plain,
( ~ sQ79_spl
| sQ128_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f11316,f1936,f553,f345]) ).
fof(f11333,plain,
( ~ sQ79_spl
| sQ138_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f11317,f1936,f786,f345]) ).
fof(f11334,plain,
( ~ sQ34_spl
| ~ sQ79_spl
| sQ199_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f11318,f1765,f1450,f345,f191]) ).
fof(f11335,plain,
( ~ sQ34_spl
| ~ sQ79_spl
| sQ134_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f11319,f1765,f764,f345,f191]) ).
fof(f11336,plain,
( ~ sQ113_spl
| ~ sQ232_spl
| ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f460,f11220]) ).
fof(f11337,plain,
( ~ sQ113_spl
| ~ sQ232_spl
| ~ sQ115_spl ),
inference(contradiction_clause,[status(thm)],[f11336]) ).
fof(f11351,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ57_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1301,f425]) ).
fof(f11353,plain,
( ~ sQ102_spl
| ~ sQ57_spl
| sQ228_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f11351,f10278,f1809,f270,f424]) ).
fof(f11355,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ57_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1300,f425]) ).
fof(f11357,plain,
( ~ sQ102_spl
| ~ sQ57_spl
| sQ199_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f11355,f10278,f1450,f270,f424]) ).
fof(f11359,plain,
( ~ sQ42_spl
| ~ sQ92_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1513,f218]) ).
fof(f11360,plain,
( ~ sQ42_spl
| ~ sQ92_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f11359,f1015,f387,f217]) ).
fof(f11376,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f149,f523]) ).
fof(f11377,plain,
( ~ sQ22_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f149,f522]) ).
fof(f11379,plain,
( ~ sQ22_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f149,f521]) ).
fof(f11383,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ22_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f149,f1612]) ).
fof(f11396,plain,
( ~ sQ82_spl
| ~ sQ22_spl
| sQ195_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f11383,f1657,f1429,f148,f355]) ).
fof(f11403,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f755]) ).
fof(f11404,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f754]) ).
fof(f11405,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f753]) ).
fof(f11406,plain,
( ~ sQ323_spl
| ~ sQ38_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f205,f3286]) ).
fof(f11407,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ38_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f205,f1338]) ).
fof(f11408,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ38_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f205,f1337]) ).
fof(f11420,plain,
( ~ sQ53_spl
| ~ sQ38_spl
| sQ288_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f11407,f9341,f2546,f204,f257]) ).
fof(f11421,plain,
( ~ sQ53_spl
| ~ sQ38_spl
| sQ158_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f11408,f9341,f1043,f204,f257]) ).
fof(f11428,plain,
( ~ sQ85_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f366,f1593]) ).
fof(f11429,plain,
( ~ sQ85_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f366,f1592]) ).
fof(f11431,plain,
( ~ sQ60_spl
| ~ sQ85_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f366,f1257]) ).
fof(f11432,plain,
( ~ sQ85_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f366,f1591]) ).
fof(f11433,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ85_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f366,f1062]) ).
fof(f11434,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ85_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f366,f1063]) ).
fof(f11435,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ85_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f366,f1260]) ).
fof(f11436,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ85_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f366,f1261]) ).
fof(f11439,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ85_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f366,f1918]) ).
fof(f11440,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ85_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f366,f1917]) ).
fof(f11441,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ85_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f366,f699]) ).
fof(f11442,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ85_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f366,f698]) ).
fof(f11443,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ85_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f366,f1026]) ).
fof(f11444,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ85_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f366,f1025]) ).
fof(f11450,plain,
( ~ sQ60_spl
| ~ sQ85_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f11431,f1521,f365,f280]) ).
fof(f11451,plain,
( ~ sQ70_spl
| ~ sQ85_spl
| sQ144_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f11433,f3440,f820,f365,f312]) ).
fof(f11452,plain,
( ~ sQ70_spl
| ~ sQ85_spl
| sQ203_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f11434,f3440,f1521,f365,f312]) ).
fof(f11453,plain,
( ~ sQ60_spl
| ~ sQ85_spl
| sQ130_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f11435,f1562,f643,f365,f280]) ).
fof(f11454,plain,
( ~ sQ60_spl
| ~ sQ85_spl
| sQ203_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f11436,f1562,f1521,f365,f280]) ).
fof(f11457,plain,
( ~ sQ115_spl
| ~ sQ85_spl
| sQ146_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f11439,f6495,f827,f365,f466]) ).
fof(f11458,plain,
( ~ sQ115_spl
| ~ sQ85_spl
| sQ177_spl
| sQ423_spl ),
inference(split_clause,[status(thm)],[f11440,f6495,f1208,f365,f466]) ).
fof(f11459,plain,
( ~ sQ5_spl
| ~ sQ85_spl
| sQ167_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f11441,f3849,f1137,f365,f94]) ).
fof(f11460,plain,
( ~ sQ5_spl
| ~ sQ85_spl
| sQ163_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f11442,f3849,f1115,f365,f94]) ).
fof(f11461,plain,
( ~ sQ25_spl
| ~ sQ85_spl
| sQ134_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f11443,f4441,f764,f365,f163]) ).
fof(f11462,plain,
( ~ sQ25_spl
| ~ sQ85_spl
| sQ158_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f11444,f4441,f1043,f365,f163]) ).
fof(f11463,plain,
( ~ sQ11_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f114,f626]) ).
fof(f11464,plain,
( ~ sQ11_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f114,f625]) ).
fof(f11465,plain,
( ~ sQ11_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f114,f624]) ).
fof(f11466,plain,
( ~ sQ350_spl
| ~ sQ11_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f114,f3850]) ).
fof(f11467,plain,
( ~ sQ373_spl
| ~ sQ11_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f114,f4442]) ).
fof(f11468,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ11_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f114,f1317]) ).
fof(f11469,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ11_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f114,f1318]) ).
fof(f11470,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f114,f1744]) ).
fof(f11471,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ11_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f114,f1743]) ).
fof(f11472,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ11_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f114,f1079]) ).
fof(f11473,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ11_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f114,f1080]) ).
fof(f11481,plain,
( ~ sQ56_spl
| ~ sQ11_spl
| sQ163_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f11468,f1303,f1115,f113,f267]) ).
fof(f11482,plain,
( ~ sQ56_spl
| ~ sQ11_spl
| sQ220_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f11469,f1303,f1718,f113,f267]) ).
fof(f11483,plain,
( ~ sQ76_spl
| ~ sQ11_spl
| sQ195_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f11470,f1715,f1429,f113,f336]) ).
fof(f11484,plain,
( ~ sQ76_spl
| ~ sQ11_spl
| sQ158_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f11471,f1715,f1043,f113,f336]) ).
fof(f11485,plain,
( ~ sQ66_spl
| ~ sQ11_spl
| sQ177_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f11472,f2854,f1208,f113,f299]) ).
fof(f11486,plain,
( ~ sQ66_spl
| ~ sQ11_spl
| sQ220_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f11473,f2854,f1718,f113,f299]) ).
fof(f11493,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ52_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1342,f425]) ).
fof(f11496,plain,
( ~ sQ102_spl
| ~ sQ52_spl
| sQ138_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f11493,f3897,f786,f254,f424]) ).
fof(f11499,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ52_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1343,f425]) ).
fof(f11502,plain,
( ~ sQ102_spl
| ~ sQ52_spl
| sQ228_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f11499,f3897,f1809,f254,f424]) ).
fof(f11505,plain,
( ~ sQ53_spl
| ~ sQ330_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f258,f3950]) ).
fof(f11506,plain,
( ~ sQ53_spl
| ~ sQ330_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f11505]) ).
fof(f11507,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ98_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1370,f136]) ).
fof(f11508,plain,
( ~ sQ18_spl
| ~ sQ98_spl
| sQ146_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f11507,f1671,f827,f406,f135]) ).
fof(f11511,plain,
( ~ sQ22_spl
| ~ sQ168_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f1142,f149]) ).
fof(f11513,plain,
( ~ sQ22_spl
| ~ sQ368_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f4257,f149]) ).
fof(f11515,plain,
( ~ sQ115_spl
| ~ sQ303_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f2865,f467]) ).
fof(f11516,plain,
( ~ sQ115_spl
| ~ sQ303_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f11515,f462,f2864,f466]) ).
fof(f11517,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ98_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1371,f136]) ).
fof(f11518,plain,
( ~ sQ18_spl
| ~ sQ98_spl
| sQ195_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f11517,f1671,f1429,f406,f135]) ).
fof(f11519,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ10_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f635,f467]) ).
fof(f11522,plain,
( ~ sQ115_spl
| ~ sQ10_spl
| sQ203_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f11519,f2864,f1521,f110,f466]) ).
fof(f11525,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ10_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f636,f467]) ).
fof(f11526,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ10_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f636,f95]) ).
fof(f11528,plain,
( ~ sQ115_spl
| ~ sQ10_spl
| sQ169_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f11525,f2864,f1144,f110,f466]) ).
fof(f11529,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| sQ138_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f11526,f2596,f786,f110,f94]) ).
fof(f11571,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f633,f95]) ).
fof(f11572,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f11571,f2546,f110,f94]) ).
fof(f11573,plain,
( ~ sQ423_spl
| ~ sQ115_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f11221,f453,f466,f6495]) ).
fof(f11575,plain,
( ~ sQ115_spl
| ~ sQ417_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f5989,f467]) ).
fof(f11576,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ2_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2242,f149]) ).
fof(f11578,plain,
( ~ sQ22_spl
| ~ sQ2_spl
| sQ169_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f11576,f2259,f1144,f84,f148]) ).
fof(f11584,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ104_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2132,f192]) ).
fof(f11585,plain,
( ~ sQ34_spl
| ~ sQ104_spl
| sQ140_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f11584,f2202,f799,f430,f191]) ).
fof(f11586,plain,
( ~ sQ39_spl
| ~ sQ392_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f5748,f179,f4812,f207]) ).
fof(f11587,plain,
( ~ sQ335_spl
| ~ sQ43_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f3715,f201,f220,f3519]) ).
fof(f11588,plain,
( ~ sQ115_spl
| ~ sQ423_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f6496,f467]) ).
fof(f11589,plain,
( ~ sQ115_spl
| ~ sQ275_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f2319,f467]) ).
fof(f11594,plain,
( ~ sQ76_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f337,f1742]) ).
fof(f11595,plain,
( ~ sQ76_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f337,f1741]) ).
fof(f11596,plain,
( ~ sQ76_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f337,f1740]) ).
fof(f11601,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ76_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f337,f723]) ).
fof(f11602,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ76_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f337,f722]) ).
fof(f11614,plain,
( ~ sQ46_spl
| ~ sQ76_spl
| sQ134_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f11601,f1705,f764,f336,f230]) ).
fof(f11615,plain,
( ~ sQ46_spl
| ~ sQ76_spl
| sQ188_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f11602,f1705,f1394,f336,f230]) ).
fof(f11618,plain,
( ~ sQ82_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f356,f1610]) ).
fof(f11619,plain,
( ~ sQ82_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f356,f1609]) ).
fof(f11620,plain,
( ~ sQ82_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f356,f1608]) ).
fof(f11623,plain,
! [X0] :
( ~ sQ102_spl
| ~ sQ82_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f356,f2143]) ).
fof(f11633,plain,
( ~ sQ102_spl
| ~ sQ82_spl
| sQ146_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f11623,f3892,f827,f355,f424]) ).
fof(f11636,plain,
( ~ sQ323_spl
| ~ sQ38_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f11406,f179,f204,f3285]) ).
fof(f11637,plain,
( ~ sQ256_spl
| ~ sQ96_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f6354,f333,f400,f2176]) ).
fof(f11638,plain,
( ~ sQ82_spl
| ~ sQ457_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f10279,f356]) ).
fof(f11647,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ72_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1053,f356]) ).
fof(f11648,definition,
! [X0] :
( sQ463_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ463_spl])],[split_symbol_definition]) ).
fof(f11649,plain,
! [X0] :
( ~ sQ463_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f11648]) ).
fof(f11651,plain,
( ~ sQ82_spl
| ~ sQ72_spl
| sQ203_spl
| sQ463_spl ),
inference(split_clause,[status(thm)],[f11647,f11648,f1521,f318,f355]) ).
fof(f11652,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ72_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1052,f356]) ).
fof(f11653,plain,
( ~ sQ82_spl
| ~ sQ72_spl
| sQ154_spl
| sQ463_spl ),
inference(split_clause,[status(thm)],[f11652,f11648,f1005,f318,f355]) ).
fof(f11658,plain,
( ~ sQ11_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f114,f626]) ).
fof(f11659,plain,
( ~ sQ11_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f114,f625]) ).
fof(f11660,plain,
( ~ sQ86_spl
| ~ sQ11_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f114,f1581]) ).
fof(f11661,plain,
( ~ sQ11_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f114,f624]) ).
fof(f11662,plain,
( ~ sQ452_spl
| ~ sQ11_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f114,f9832]) ).
fof(f11663,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ11_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f114,f1584]) ).
fof(f11664,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ11_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f114,f1585]) ).
fof(f11669,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ11_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f114,f2147]) ).
fof(f11670,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ11_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f114,f2148]) ).
fof(f11678,plain,
( ~ sQ86_spl
| ~ sQ11_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f11660,f1429,f113,f368]) ).
fof(f11679,plain,
( ~ sQ86_spl
| ~ sQ11_spl
| sQ130_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f11663,f2859,f643,f113,f368]) ).
fof(f11680,plain,
( ~ sQ86_spl
| ~ sQ11_spl
| sQ195_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f11664,f2859,f1429,f113,f368]) ).
fof(f11685,plain,
( ~ sQ101_spl
| ~ sQ11_spl
| sQ158_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f11669,f4684,f1043,f113,f421]) ).
fof(f11686,plain,
( ~ sQ101_spl
| ~ sQ11_spl
| sQ188_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f11670,f4684,f1394,f113,f421]) ).
fof(f11689,plain,
( ~ sQ24_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f155,f500]) ).
fof(f11690,plain,
( ~ sQ24_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f155,f499]) ).
fof(f11691,plain,
( ~ sQ124_spl
| ~ sQ24_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f155,f1801]) ).
fof(f11692,plain,
( ~ sQ24_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f155,f498]) ).
fof(f11693,plain,
( ~ sQ153_spl
| ~ sQ24_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f155,f1003]) ).
fof(f11694,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ24_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f155,f2087]) ).
fof(f11695,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ24_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f155,f2086]) ).
fof(f11696,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ24_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f155,f1631]) ).
fof(f11697,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ24_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f155,f1630]) ).
fof(f11698,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ24_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f155,f1805]) ).
fof(f11699,plain,
! [X0] :
( ~ sQ124_spl
| ~ sQ24_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f155,f1804]) ).
fof(f11700,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ24_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f155,f908]) ).
fof(f11701,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ24_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f155,f909]) ).
fof(f11703,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f155,f502]) ).
fof(f11709,plain,
( ~ sQ124_spl
| ~ sQ24_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f11691,f1394,f154,f494]) ).
fof(f11710,plain,
( ~ sQ109_spl
| ~ sQ24_spl
| sQ188_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f11694,f2461,f1394,f154,f446]) ).
fof(f11711,plain,
( ~ sQ109_spl
| ~ sQ24_spl
| sQ136_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f11695,f2461,f771,f154,f446]) ).
fof(f11712,plain,
( ~ sQ79_spl
| ~ sQ24_spl
| sQ195_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f11696,f1755,f1429,f154,f345]) ).
fof(f11713,plain,
( ~ sQ79_spl
| ~ sQ24_spl
| sQ169_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f11697,f1755,f1144,f154,f345]) ).
fof(f11714,plain,
( ~ sQ124_spl
| ~ sQ24_spl
| sQ188_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f11698,f1952,f1394,f154,f494]) ).
fof(f11715,plain,
( ~ sQ124_spl
| ~ sQ24_spl
| sQ126_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f11699,f1952,f507,f154,f494]) ).
fof(f11716,plain,
( ~ sQ34_spl
| ~ sQ24_spl
| sQ136_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f11700,f1002,f771,f154,f191]) ).
fof(f11717,plain,
( ~ sQ34_spl
| ~ sQ24_spl
| sQ199_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f11701,f1002,f1450,f154,f191]) ).
fof(f11719,plain,
( ~ sQ24_spl
| sQ138_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f11703,f504,f786,f154]) ).
fof(f11720,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f136,f562]) ).
fof(f11721,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f136,f561]) ).
fof(f11722,plain,
( ~ sQ18_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f560]) ).
fof(f11740,plain,
( ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f218,f738]) ).
fof(f11741,plain,
( ~ sQ42_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f737]) ).
fof(f11742,plain,
( ~ sQ42_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f218,f736]) ).
fof(f11757,plain,
( ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f95,f697]) ).
fof(f11758,plain,
( ~ sQ5_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f95,f696]) ).
fof(f11759,plain,
( ~ sQ5_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f95,f695]) ).
fof(f11760,plain,
( ~ sQ390_spl
| ~ sQ5_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f95,f4801]) ).
fof(f11762,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ5_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f95,f1538]) ).
fof(f11763,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ5_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f95,f727]) ).
fof(f11764,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ5_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f95,f728]) ).
fof(f11773,plain,
( ~ sQ90_spl
| ~ sQ5_spl
| sQ195_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f11762,f3243,f1429,f94,f381]) ).
fof(f11774,plain,
( ~ sQ45_spl
| ~ sQ5_spl
| sQ154_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f11763,f768,f1005,f94,f227]) ).
fof(f11775,plain,
( ~ sQ45_spl
| ~ sQ5_spl
| sQ199_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f11764,f768,f1450,f94,f227]) ).
fof(f11778,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f755]) ).
fof(f11779,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f754]) ).
fof(f11780,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f753]) ).
fof(f11803,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ113_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1981,f205]) ).
fof(f11805,plain,
( ~ sQ38_spl
| ~ sQ113_spl
| sQ130_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f11803,f5069,f643,f459,f204]) ).
fof(f11813,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ0_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2316,f95]) ).
fof(f11814,plain,
( ~ sQ5_spl
| ~ sQ0_spl
| sQ138_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f11813,f2219,f786,f78,f94]) ).
fof(f11821,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ80_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1624,f95]) ).
fof(f11822,plain,
( ~ sQ5_spl
| ~ sQ80_spl
| sQ132_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f11821,f3197,f657,f349,f94]) ).
fof(f11836,plain,
( ~ sQ38_spl
| ~ sQ222_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1751,f205]) ).
fof(f11851,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ30_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f957,f95]) ).
fof(f11852,plain,
( ~ sQ5_spl
| ~ sQ30_spl
| sQ199_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f11851,f2994,f1450,f179,f94]) ).
fof(f11853,plain,
( ~ sQ5_spl
| ~ sQ390_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f4801,f95]) ).
fof(f11855,plain,
( ~ sQ42_spl
| ~ sQ173_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f1176,f218]) ).
fof(f11872,plain,
( ~ sQ38_spl
| ~ sQ113_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1978,f205]) ).
fof(f11873,plain,
( ~ sQ38_spl
| ~ sQ113_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f11872,f1005,f459,f204]) ).
fof(f11874,plain,
( ~ sQ66_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f300,f1078]) ).
fof(f11875,plain,
( ~ sQ66_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f300,f1077]) ).
fof(f11876,plain,
( ~ sQ116_spl
| ~ sQ66_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f300,f1904]) ).
fof(f11877,plain,
( ~ sQ321_spl
| ~ sQ66_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f300,f3244]) ).
fof(f11878,plain,
( ~ sQ66_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f300,f1076]) ).
fof(f11879,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ66_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f300,f2148]) ).
fof(f11880,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ66_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f300,f1908]) ).
fof(f11881,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ66_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f300,f1907]) ).
fof(f11882,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f300,f1079]) ).
fof(f11883,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f300,f1080]) ).
fof(f11889,plain,
( ~ sQ116_spl
| ~ sQ66_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f11876,f820,f299,f469]) ).
fof(f11890,plain,
( ~ sQ101_spl
| ~ sQ66_spl
| sQ144_spl
| sQ435_spl ),
inference(split_clause,[status(thm)],[f11879,f7486,f820,f299,f421]) ).
fof(f11891,definition,
! [X0] :
( sQ464_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ464_spl])],[split_symbol_definition]) ).
fof(f11892,plain,
! [X0] :
( ~ sQ464_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f11891]) ).
fof(f11894,plain,
( ~ sQ116_spl
| ~ sQ66_spl
| sQ144_spl
| sQ464_spl ),
inference(split_clause,[status(thm)],[f11880,f11891,f820,f299,f469]) ).
fof(f11895,plain,
( ~ sQ116_spl
| ~ sQ66_spl
| sQ128_spl
| sQ464_spl ),
inference(split_clause,[status(thm)],[f11881,f11891,f553,f299,f469]) ).
fof(f11896,plain,
( ~ sQ66_spl
| sQ128_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f11882,f1165,f553,f299]) ).
fof(f11897,plain,
( ~ sQ66_spl
| sQ130_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f11883,f1165,f643,f299]) ).
fof(f11898,plain,
( ~ sQ18_spl
| ~ sQ367_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f4198,f136]) ).
fof(f11901,plain,
( ~ sQ66_spl
| ~ sQ343_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f3666,f300]) ).
fof(f11904,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ21_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f531,f300]) ).
fof(f11905,plain,
( ~ sQ66_spl
| ~ sQ21_spl
| sQ146_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f11904,f1093,f827,f145,f299]) ).
fof(f11922,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ111_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2037,f300]) ).
fof(f11923,definition,
! [X0] :
( sQ465_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ465_spl])],[split_symbol_definition]) ).
fof(f11924,plain,
! [X0] :
( ~ sQ465_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f11923]) ).
fof(f11926,plain,
( ~ sQ66_spl
| ~ sQ111_spl
| sQ203_spl
| sQ465_spl ),
inference(split_clause,[status(thm)],[f11922,f11923,f1521,f453,f299]) ).
fof(f11927,plain,
( ~ sQ42_spl
| ~ sQ465_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f11924,f218]) ).
fof(f11928,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ111_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2038,f300]) ).
fof(f11929,plain,
( ~ sQ66_spl
| ~ sQ111_spl
| sQ144_spl
| sQ465_spl ),
inference(split_clause,[status(thm)],[f11928,f11923,f820,f453,f299]) ).
fof(f11930,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ51_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1348,f300]) ).
fof(f11931,plain,
( ~ sQ66_spl
| ~ sQ51_spl
| sQ130_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f11930,f1426,f643,f251,f299]) ).
fof(f11934,plain,
( ~ sQ42_spl
| ~ sQ194_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1427,f218]) ).
fof(f11947,plain,
( ~ sQ66_spl
| ~ sQ51_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1345,f300]) ).
fof(f11948,plain,
( ~ sQ66_spl
| ~ sQ51_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f11947,f1137,f251,f299]) ).
fof(f11949,plain,
( ~ sQ38_spl
| ~ sQ449_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f9342,f205]) ).
fof(f11955,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ56_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1318,f300]) ).
fof(f11956,definition,
! [X0] :
( sQ466_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ466_spl])],[split_symbol_definition]) ).
fof(f11957,plain,
! [X0] :
( ~ sQ466_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f11956]) ).
fof(f11959,plain,
( ~ sQ66_spl
| ~ sQ56_spl
| sQ130_spl
| sQ466_spl ),
inference(split_clause,[status(thm)],[f11955,f11956,f643,f267,f299]) ).
fof(f11962,plain,
( ~ sQ42_spl
| ~ sQ466_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f11957,f218]) ).
fof(f11971,plain,
( ~ sQ38_spl
| ~ sQ88_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1557,f205]) ).
fof(f11972,plain,
( ~ sQ38_spl
| ~ sQ88_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f11971,f1015,f374,f204]) ).
fof(f11981,plain,
( ~ sQ66_spl
| ~ sQ56_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1315,f300]) ).
fof(f11982,plain,
( ~ sQ66_spl
| ~ sQ56_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f11981,f764,f267,f299]) ).
fof(f11983,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f9930]) ).
fof(f11984,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f9929]) ).
fof(f11986,plain,
( ~ sQ45_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f228,f9928]) ).
fof(f12009,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f12010,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f12011,plain,
( ~ sQ109_spl
| ~ sQ34_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f192,f2083]) ).
fof(f12012,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f12022,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ34_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f192,f2087]) ).
fof(f12031,plain,
( ~ sQ109_spl
| ~ sQ34_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f12011,f1005,f191,f446]) ).
fof(f12040,plain,
( ~ sQ109_spl
| ~ sQ34_spl
| sQ154_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f12022,f4800,f1005,f191,f446]) ).
fof(f12044,plain,
( ~ sQ69_spl
| ~ sQ155_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1088,f273,f1012,f308]) ).
fof(f12045,plain,
( ~ sQ90_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f382,f1536]) ).
fof(f12046,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f382,f1535]) ).
fof(f12047,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f382,f1534]) ).
fof(f12066,plain,
( ~ sQ34_spl
| ~ sQ264_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f2220,f192]) ).
fof(f12069,plain,
( ~ sQ90_spl
| ~ sQ232_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1910,f382]) ).
fof(f12094,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ80_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1625,f382]) ).
fof(f12097,plain,
( ~ sQ90_spl
| ~ sQ80_spl
| sQ128_spl
| sQ418_spl ),
inference(split_clause,[status(thm)],[f12094,f6225,f553,f349,f381]) ).
fof(f12108,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ100_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2155,f382]) ).
fof(f12110,plain,
( ~ sQ90_spl
| ~ sQ100_spl
| sQ167_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f12108,f3665,f1137,f418,f381]) ).
fof(f12112,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ100_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2156,f382]) ).
fof(f12114,plain,
( ~ sQ90_spl
| ~ sQ100_spl
| sQ146_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f12112,f3665,f827,f418,f381]) ).
fof(f12117,plain,
( ~ sQ90_spl
| ~ sQ419_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f6267,f382]) ).
fof(f12119,plain,
( ~ sQ42_spl
| ~ sQ318_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f3225,f218]) ).
fof(f12128,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ30_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f956,f382]) ).
fof(f12130,plain,
( ~ sQ90_spl
| ~ sQ30_spl
| sQ134_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f12128,f1489,f764,f179,f381]) ).
fof(f12143,plain,
( ~ sQ98_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f407,f1369]) ).
fof(f12144,plain,
( ~ sQ98_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f407,f1368]) ).
fof(f12145,plain,
( ~ sQ425_spl
| ~ sQ98_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f407,f7002]) ).
fof(f12146,plain,
( ~ sQ325_spl
| ~ sQ98_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f407,f3336]) ).
fof(f12147,plain,
( ~ sQ98_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f407,f1367]) ).
fof(f12148,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ98_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f407,f757]) ).
fof(f12149,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ98_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f407,f756]) ).
fof(f12150,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f407,f1371]) ).
fof(f12151,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f407,f1370]) ).
fof(f12157,plain,
( ~ sQ38_spl
| ~ sQ98_spl
| sQ134_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f12148,f2494,f764,f406,f204]) ).
fof(f12158,plain,
( ~ sQ38_spl
| ~ sQ98_spl
| sQ228_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f12149,f2494,f1809,f406,f204]) ).
fof(f12159,plain,
( ~ sQ98_spl
| sQ128_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f12150,f4350,f553,f406]) ).
fof(f12160,plain,
( ~ sQ98_spl
| sQ126_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f12151,f4350,f507,f406]) ).
fof(f12161,plain,
( ~ sQ106_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f438,f2105]) ).
fof(f12162,plain,
( ~ sQ106_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f438,f2104]) ).
fof(f12163,plain,
( ~ sQ106_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f438,f2103]) ).
fof(f12164,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ106_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f438,f1744]) ).
fof(f12165,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ106_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f438,f1743]) ).
fof(f12166,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ106_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f438,f9943]) ).
fof(f12167,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ106_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f438,f9942]) ).
fof(f12168,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ106_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f438,f531]) ).
fof(f12169,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ106_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f438,f532]) ).
fof(f12177,plain,
( ~ sQ76_spl
| ~ sQ106_spl
| sQ149_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f12164,f4603,f846,f437,f336]) ).
fof(f12178,plain,
( ~ sQ76_spl
| ~ sQ106_spl
| sQ140_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f12165,f4603,f799,f437,f336]) ).
fof(f12179,plain,
( ~ sQ26_spl
| ~ sQ106_spl
| sQ136_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f12166,f4009,f771,f437,f166]) ).
fof(f12180,plain,
( ~ sQ26_spl
| ~ sQ106_spl
| sQ140_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f12167,f4009,f799,f437,f166]) ).
fof(f12181,plain,
( ~ sQ21_spl
| ~ sQ106_spl
| sQ154_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f12168,f2461,f1005,f437,f145]) ).
fof(f12182,plain,
( ~ sQ21_spl
| ~ sQ106_spl
| sQ169_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f12169,f2461,f1144,f437,f145]) ).
fof(f12188,plain,
( ~ sQ98_spl
| ~ sQ380_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f4557,f407]) ).
fof(f12195,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ111_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2037,f438]) ).
fof(f12196,plain,
( ~ sQ106_spl
| ~ sQ111_spl
| sQ288_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f12195,f4014,f2546,f453,f437]) ).
fof(f12208,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ61_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1230,f438]) ).
fof(f12209,plain,
( ~ sQ106_spl
| ~ sQ61_spl
| sQ288_spl
| sQ416_spl ),
inference(split_clause,[status(thm)],[f12208,f5979,f2546,f283,f437]) ).
fof(f12210,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ61_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1231,f438]) ).
fof(f12211,plain,
( ~ sQ106_spl
| ~ sQ61_spl
| sQ228_spl
| sQ416_spl ),
inference(split_clause,[status(thm)],[f12210,f5979,f1809,f283,f437]) ).
fof(f12216,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ80_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1624,f382]) ).
fof(f12218,plain,
( ~ sQ90_spl
| ~ sQ80_spl
| sQ134_spl
| sQ418_spl ),
inference(split_clause,[status(thm)],[f12216,f6225,f764,f349,f381]) ).
fof(f12220,plain,
( ~ sQ81_spl
| ~ sQ325_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f353,f12146]) ).
fof(f12221,plain,
( ~ sQ81_spl
| ~ sQ325_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f12220]) ).
fof(f12224,plain,
( ~ sQ5_spl
| ~ sQ450_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f9347,f95]) ).
fof(f12225,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ18_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f563,f407]) ).
fof(f12226,plain,
( ~ sQ98_spl
| ~ sQ18_spl
| sQ149_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f12225,f1671,f846,f135,f406]) ).
fof(f12227,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ18_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f564,f407]) ).
fof(f12228,plain,
( ~ sQ98_spl
| ~ sQ18_spl
| sQ167_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f12227,f1671,f1137,f135,f406]) ).
fof(f12245,plain,
( ~ sQ98_spl
| ~ sQ326_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f3341,f407]) ).
fof(f12246,plain,
( ~ sQ98_spl
| ~ sQ197_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f1443,f407]) ).
fof(f12247,plain,
( ~ sQ98_spl
| ~ sQ197_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f12246,f339,f1442,f406]) ).
fof(f12249,plain,
( ~ sQ98_spl
| ~ sQ361_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f4022,f407]) ).
fof(f12262,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ63_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1203,f407]) ).
fof(f12263,plain,
( ~ sQ98_spl
| ~ sQ63_spl
| sQ203_spl
| sQ424_spl ),
inference(split_clause,[status(thm)],[f12262,f6737,f1521,f289,f406]) ).
fof(f12264,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ63_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1202,f407]) ).
fof(f12265,plain,
( ~ sQ98_spl
| ~ sQ63_spl
| sQ228_spl
| sQ424_spl ),
inference(split_clause,[status(thm)],[f12264,f6737,f1809,f289,f406]) ).
fof(f12274,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ35_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f896,f382]) ).
fof(f12275,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ35_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f896,f95]) ).
fof(f12276,plain,
( ~ sQ90_spl
| ~ sQ35_spl
| sQ203_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f12274,f2377,f1521,f195,f381]) ).
fof(f12277,plain,
( ~ sQ5_spl
| ~ sQ35_spl
| sQ288_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f12275,f3769,f2546,f195,f94]) ).
fof(f12278,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ35_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f897,f382]) ).
fof(f12279,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ35_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f897,f95]) ).
fof(f12280,plain,
( ~ sQ90_spl
| ~ sQ35_spl
| sQ134_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f12278,f2377,f764,f195,f381]) ).
fof(f12281,plain,
( ~ sQ5_spl
| ~ sQ35_spl
| sQ199_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f12279,f3769,f1450,f195,f94]) ).
fof(f12288,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ70_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1063,f382]) ).
fof(f12290,plain,
( ~ sQ90_spl
| ~ sQ70_spl
| sQ203_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f12288,f5108,f1521,f312,f381]) ).
fof(f12292,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ70_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1062,f382]) ).
fof(f12294,plain,
( ~ sQ90_spl
| ~ sQ70_spl
| sQ146_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f12292,f5108,f827,f312,f381]) ).
fof(f12296,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ65_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1084,f382]) ).
fof(f12298,plain,
( ~ sQ90_spl
| ~ sQ65_spl
| sQ128_spl
| sQ445_spl ),
inference(split_clause,[status(thm)],[f12296,f8590,f553,f296,f381]) ).
fof(f12300,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ65_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1085,f382]) ).
fof(f12302,plain,
( ~ sQ90_spl
| ~ sQ65_spl
| sQ203_spl
| sQ445_spl ),
inference(split_clause,[status(thm)],[f12300,f8590,f1521,f296,f381]) ).
fof(f12304,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ88_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1560,f407]) ).
fof(f12305,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| sQ228_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f12304,f3445,f1809,f374,f406]) ).
fof(f12306,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ88_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1561,f407]) ).
fof(f12307,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| sQ128_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f12306,f3445,f553,f374,f406]) ).
fof(f12312,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ83_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1605,f407]) ).
fof(f12313,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| sQ136_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f12312,f1644,f771,f358,f406]) ).
fof(f12314,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ123_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1840,f407]) ).
fof(f12315,plain,
( ~ sQ98_spl
| ~ sQ123_spl
| sQ126_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f12314,f5699,f507,f491,f406]) ).
fof(f12316,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ123_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1841,f407]) ).
fof(f12317,plain,
( ~ sQ98_spl
| ~ sQ123_spl
| sQ146_spl
| sQ409_spl ),
inference(split_clause,[status(thm)],[f12316,f5699,f827,f491,f406]) ).
fof(f12325,plain,
( ~ sQ57_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f271,f1299]) ).
fof(f12326,plain,
( ~ sQ57_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f271,f1298]) ).
fof(f12327,plain,
( ~ sQ57_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f271,f1297]) ).
fof(f12328,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ57_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f271,f1612]) ).
fof(f12329,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ57_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f271,f1343]) ).
fof(f12330,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ57_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f271,f1342]) ).
fof(f12331,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ57_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f271,f2021]) ).
fof(f12332,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ57_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f271,f2022]) ).
fof(f12333,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ57_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f271,f524]) ).
fof(f12334,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ57_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f271,f525]) ).
fof(f12335,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f271,f1300]) ).
fof(f12336,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f271,f1301]) ).
fof(f12337,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ57_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f271,f740]) ).
fof(f12338,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ57_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f271,f739]) ).
fof(f12344,plain,
( ~ sQ82_spl
| ~ sQ57_spl
| sQ177_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f12328,f1650,f1208,f270,f355]) ).
fof(f12345,plain,
( ~ sQ52_spl
| ~ sQ57_spl
| sQ130_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f12329,f8046,f643,f270,f254]) ).
fof(f12346,plain,
( ~ sQ52_spl
| ~ sQ57_spl
| sQ140_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f12330,f8046,f799,f270,f254]) ).
fof(f12347,plain,
( ~ sQ112_spl
| ~ sQ57_spl
| sQ288_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f12331,f1984,f2546,f270,f456]) ).
fof(f12348,plain,
( ~ sQ112_spl
| ~ sQ57_spl
| sQ144_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f12332,f1984,f820,f270,f456]) ).
fof(f12349,plain,
( ~ sQ22_spl
| ~ sQ57_spl
| sQ154_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f12333,f4499,f1005,f270,f148]) ).
fof(f12350,plain,
( ~ sQ22_spl
| ~ sQ57_spl
| sQ158_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f12334,f4499,f1043,f270,f148]) ).
fof(f12351,plain,
( ~ sQ57_spl
| sQ132_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f12335,f2753,f657,f270]) ).
fof(f12352,plain,
( ~ sQ57_spl
| sQ130_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f12336,f2753,f643,f270]) ).
fof(f12353,plain,
( ~ sQ42_spl
| ~ sQ57_spl
| sQ163_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f12337,f1319,f1115,f270,f217]) ).
fof(f12354,plain,
( ~ sQ42_spl
| ~ sQ57_spl
| sQ156_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f12338,f1319,f1015,f270,f217]) ).
fof(f12355,plain,
( ~ sQ205_spl
| ~ sQ116_spl
| ~ sQ114_spl ),
inference(split_clause,[status(thm)],[f1899,f462,f469,f1544]) ).
fof(f12356,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f136,f562]) ).
fof(f12357,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f136,f561]) ).
fof(f12358,plain,
( ~ sQ18_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f560]) ).
fof(f12359,plain,
( ~ sQ186_spl
| ~ sQ18_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f136,f1320]) ).
fof(f12381,plain,
( ~ sQ22_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f149,f523]) ).
fof(f12382,plain,
( ~ sQ22_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f149,f522]) ).
fof(f12383,plain,
( ~ sQ22_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f149,f521]) ).
fof(f12384,plain,
( ~ sQ170_spl
| ~ sQ22_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f149,f1156]) ).
fof(f12403,plain,
( ~ sQ11_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f114,f626]) ).
fof(f12405,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ11_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f114,f723]) ).
fof(f12406,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ11_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f114,f722]) ).
fof(f12414,plain,
( ~ sQ46_spl
| ~ sQ11_spl
| sQ199_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f12405,f3340,f1450,f113,f230]) ).
fof(f12415,plain,
( ~ sQ46_spl
| ~ sQ11_spl
| sQ144_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f12406,f3340,f820,f113,f230]) ).
fof(f12431,plain,
( ~ sQ22_spl
| ~ sQ349_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f3817,f149]) ).
fof(f12432,plain,
( ~ sQ46_spl
| ~ sQ212_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f1667,f231]) ).
fof(f12433,plain,
( ~ sQ22_spl
| ~ sQ405_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f5513,f149]) ).
fof(f12434,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ97_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1378,f271]) ).
fof(f12436,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ97_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1378,f149]) ).
fof(f12437,plain,
( ~ sQ57_spl
| ~ sQ97_spl
| sQ177_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f12434,f2189,f1208,f403,f270]) ).
fof(f12439,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| sQ195_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f12436,f2468,f1429,f403,f148]) ).
fof(f12456,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f176,f967]) ).
fof(f12457,plain,
( ~ sQ29_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f176,f966]) ).
fof(f12458,plain,
( ~ sQ29_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f176,f965]) ).
fof(f12459,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ29_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f176,f1923]) ).
fof(f12460,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ29_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f176,f1922]) ).
fof(f12470,plain,
( ~ sQ114_spl
| ~ sQ29_spl
| sQ154_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f12459,f4938,f1005,f175,f462]) ).
fof(f12471,plain,
( ~ sQ114_spl
| ~ sQ29_spl
| sQ220_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f12460,f4938,f1718,f175,f462]) ).
fof(f12476,plain,
( ~ sQ30_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f180,f955]) ).
fof(f12477,plain,
( ~ sQ30_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f180,f954]) ).
fof(f12478,plain,
( ~ sQ30_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f180,f953]) ).
fof(f12479,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ30_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f180,f1781]) ).
fof(f12480,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ30_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f180,f1782]) ).
fof(f12488,plain,
( ~ sQ75_spl
| ~ sQ30_spl
| sQ140_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f12479,f1765,f799,f179,f333]) ).
fof(f12489,plain,
( ~ sQ75_spl
| ~ sQ30_spl
| sQ156_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f12480,f1765,f1015,f179,f333]) ).
fof(f12492,plain,
( ~ sQ72_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f319,f1051]) ).
fof(f12493,plain,
( ~ sQ72_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f319,f1050]) ).
fof(f12494,plain,
( ~ sQ72_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f319,f1049]) ).
fof(f12495,plain,
( ~ sQ162_spl
| ~ sQ72_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f319,f1111]) ).
fof(f12496,plain,
( ~ sQ331_spl
| ~ sQ72_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f319,f3441]) ).
fof(f12497,plain,
( ~ sQ368_spl
| ~ sQ72_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f319,f4257]) ).
fof(f12498,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ72_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f319,f1576]) ).
fof(f12499,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ72_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f319,f1575]) ).
fof(f12500,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ72_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f319,f1300]) ).
fof(f12501,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ72_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f319,f1301]) ).
fof(f12513,plain,
( ~ sQ331_spl
| ~ sQ72_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f12496,f283,f318,f3440]) ).
fof(f12514,plain,
( ~ sQ87_spl
| ~ sQ72_spl
| sQ177_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f12498,f3440,f1208,f318,f371]) ).
fof(f12515,plain,
( ~ sQ87_spl
| ~ sQ72_spl
| sQ228_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f12499,f3440,f1809,f318,f371]) ).
fof(f12516,plain,
( ~ sQ57_spl
| ~ sQ72_spl
| sQ136_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f12500,f1288,f771,f318,f270]) ).
fof(f12517,plain,
( ~ sQ57_spl
| ~ sQ72_spl
| sQ130_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f12501,f1288,f643,f318,f270]) ).
fof(f12524,plain,
( ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f117,f618]) ).
fof(f12525,plain,
( ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f117,f617]) ).
fof(f12526,plain,
( ~ sQ12_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f117,f616]) ).
fof(f12527,plain,
( ~ sQ178_spl
| ~ sQ12_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f117,f1236]) ).
fof(f12528,plain,
( ~ sQ416_spl
| ~ sQ12_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f117,f5980]) ).
fof(f12529,plain,
( ~ sQ415_spl
| ~ sQ12_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f117,f5969]) ).
fof(f12530,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ12_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f117,f1576]) ).
fof(f12531,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ12_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f117,f1575]) ).
fof(f12532,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ12_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f117,f1300]) ).
fof(f12533,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ12_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f117,f1301]) ).
fof(f12543,plain,
( ~ sQ416_spl
| ~ sQ12_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f12528,f94,f116,f5979]) ).
fof(f12544,plain,
( ~ sQ87_spl
| ~ sQ12_spl
| sQ195_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f12530,f2859,f1429,f116,f371]) ).
fof(f12545,plain,
( ~ sQ87_spl
| ~ sQ12_spl
| sQ130_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f12531,f2859,f643,f116,f371]) ).
fof(f12546,plain,
( ~ sQ57_spl
| ~ sQ12_spl
| sQ163_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f12532,f1303,f1115,f116,f270]) ).
fof(f12547,plain,
( ~ sQ57_spl
| ~ sQ12_spl
| sQ220_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f12533,f1303,f1718,f116,f270]) ).
fof(f12552,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f530]) ).
fof(f12553,plain,
( ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f529]) ).
fof(f12554,plain,
( ~ sQ213_spl
| ~ sQ21_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f146,f1672]) ).
fof(f12555,plain,
( ~ sQ21_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f528]) ).
fof(f12582,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f9930]) ).
fof(f12583,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f9929]) ).
fof(f12587,plain,
( ~ sQ45_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f228,f9928]) ).
fof(f12614,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f12615,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f12616,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f12647,plain,
( ~ sQ90_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f382,f1536]) ).
fof(f12648,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f382,f1535]) ).
fof(f12649,plain,
( ~ sQ334_spl
| ~ sQ90_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f382,f3484]) ).
fof(f12650,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f382,f1534]) ).
fof(f12651,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ90_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f382,f2062]) ).
fof(f12652,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ90_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f382,f2061]) ).
fof(f12666,plain,
( ~ sQ110_spl
| ~ sQ90_spl
| sQ146_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f12651,f4714,f827,f381,f450]) ).
fof(f12667,plain,
( ~ sQ110_spl
| ~ sQ90_spl
| sQ203_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f12652,f4714,f1521,f381,f450]) ).
fof(f12676,plain,
( ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f95,f697]) ).
fof(f12677,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f95,f2313]) ).
fof(f12678,plain,
( ~ sQ5_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f95,f696]) ).
fof(f12679,plain,
( ~ sQ5_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f95,f695]) ).
fof(f12681,plain,
( ~ sQ359_spl
| ~ sQ5_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f95,f4010]) ).
fof(f12682,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ5_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f95,f2062]) ).
fof(f12683,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ5_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f95,f2061]) ).
fof(f12684,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ5_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f95,f2315]) ).
fof(f12697,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f12677,f799,f94,f78]) ).
fof(f12698,plain,
( ~ sQ110_spl
| ~ sQ5_spl
| sQ188_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f12682,f2063,f1394,f94,f450]) ).
fof(f12699,plain,
( ~ sQ110_spl
| ~ sQ5_spl
| sQ288_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f12683,f2063,f2546,f94,f450]) ).
fof(f12700,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| sQ140_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f12684,f2219,f799,f94,f78]) ).
fof(f12708,plain,
( ~ sQ90_spl
| ~ sQ232_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1910,f382]) ).
fof(f12725,plain,
( ~ sQ5_spl
| ~ sQ80_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1621,f95]) ).
fof(f12726,plain,
( ~ sQ5_spl
| ~ sQ80_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f12725,f1429,f349,f94]) ).
fof(f12728,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f167,f997]) ).
fof(f12729,plain,
( ~ sQ26_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f167,f996]) ).
fof(f12730,plain,
( ~ sQ76_spl
| ~ sQ26_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f167,f1740]) ).
fof(f12731,plain,
( ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f995]) ).
fof(f12736,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ26_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f167,f1744]) ).
fof(f12737,plain,
! [X0] :
( ~ sQ76_spl
| ~ sQ26_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f167,f1743]) ).
fof(f12740,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ26_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f167,f531]) ).
fof(f12741,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ26_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f167,f532]) ).
fof(f12747,plain,
( ~ sQ76_spl
| ~ sQ26_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f12730,f1015,f166,f336]) ).
fof(f12752,plain,
( ~ sQ76_spl
| ~ sQ26_spl
| sQ156_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f12736,f3611,f1015,f166,f336]) ).
fof(f12753,plain,
( ~ sQ76_spl
| ~ sQ26_spl
| sQ138_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f12737,f3611,f786,f166,f336]) ).
fof(f12756,plain,
( ~ sQ21_spl
| ~ sQ26_spl
| sQ188_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f12740,f2004,f1394,f166,f145]) ).
fof(f12757,plain,
( ~ sQ21_spl
| ~ sQ26_spl
| sQ140_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f12741,f2004,f799,f166,f145]) ).
fof(f12758,plain,
( ~ sQ359_spl
| ~ sQ5_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f12681,f87,f94,f4009]) ).
fof(f12761,plain,
( ~ sQ164_spl
| ~ sQ42_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f2922,f204,f217,f1123]) ).
fof(f12762,plain,
( ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f218,f738]) ).
fof(f12763,plain,
( ~ sQ42_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f737]) ).
fof(f12764,plain,
( ~ sQ42_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f218,f736]) ).
fof(f12779,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f755]) ).
fof(f12780,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f754]) ).
fof(f12781,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f753]) ).
fof(f12795,plain,
( ~ sQ106_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f438,f2105]) ).
fof(f12796,plain,
( ~ sQ106_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f438,f2104]) ).
fof(f12797,plain,
( ~ sQ106_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f438,f2103]) ).
fof(f12811,plain,
( ~ sQ98_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f407,f1369]) ).
fof(f12812,plain,
( ~ sQ98_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f407,f1368]) ).
fof(f12813,plain,
( ~ sQ98_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f407,f1367]) ).
fof(f12829,plain,
( ~ sQ45_spl
| ~ sQ236_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f1943,f228]) ).
fof(f12834,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ73_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1037,f407]) ).
fof(f12835,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ73_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1037,f205]) ).
fof(f12836,plain,
( ~ sQ98_spl
| ~ sQ73_spl
| sQ126_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f12834,f4341,f507,f321,f406]) ).
fof(f12837,plain,
( ~ sQ38_spl
| ~ sQ73_spl
| sQ144_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f12835,f1127,f820,f321,f204]) ).
fof(f12839,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ73_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1038,f205]) ).
fof(f12841,plain,
( ~ sQ38_spl
| ~ sQ73_spl
| sQ288_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f12839,f1127,f2546,f321,f204]) ).
fof(f12843,plain,
( ~ sQ42_spl
| ~ sQ435_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f7487,f218]) ).
fof(f12845,plain,
( ~ sQ98_spl
| ~ sQ443_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f8488,f407]) ).
fof(f12847,plain,
( ~ sQ90_spl
| ~ sQ275_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f2319,f382]) ).
fof(f12850,plain,
( ~ sQ21_spl
| ~ sQ370_spl
| ~ product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f4342,f146]) ).
fof(f12855,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ81_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1618,f438]) ).
fof(f12857,plain,
( ~ sQ106_spl
| ~ sQ81_spl
| sQ132_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f12855,f4791,f657,f352,f437]) ).
fof(f12863,plain,
( ~ sQ5_spl
| ~ sQ389_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f4792,f95]) ).
fof(f12876,plain,
( ~ sQ5_spl
| ~ sQ399_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f5250,f95]) ).
fof(f12877,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ101_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2148,f438]) ).
fof(f12879,plain,
( ~ sQ106_spl
| ~ sQ101_spl
| sQ126_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f12877,f5249,f507,f421,f437]) ).
fof(f12889,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ66_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1080,f438]) ).
fof(f12891,plain,
( ~ sQ106_spl
| ~ sQ66_spl
| sQ228_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f12889,f4805,f1809,f299,f437]) ).
fof(f12893,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ66_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1079,f438]) ).
fof(f12895,plain,
( ~ sQ106_spl
| ~ sQ66_spl
| sQ156_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f12893,f4805,f1015,f299,f437]) ).
fof(f12926,plain,
( ~ sQ98_spl
| ~ sQ73_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1034,f407]) ).
fof(f12927,plain,
( ~ sQ98_spl
| ~ sQ73_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f12926,f1521,f321,f406]) ).
fof(f12930,plain,
( ~ sQ34_spl
| ~ sQ315_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f3206,f192]) ).
fof(f12931,plain,
( ~ sQ45_spl
| ~ sQ234_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1933,f228]) ).
fof(f12940,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ50_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1352,f382]) ).
fof(f12943,plain,
( ~ sQ90_spl
| ~ sQ50_spl
| sQ167_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f12940,f1518,f1137,f248,f381]) ).
fof(f12946,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ50_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1353,f382]) ).
fof(f12948,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ50_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1353,f95]) ).
fof(f12949,plain,
( ~ sQ90_spl
| ~ sQ50_spl
| sQ203_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f12946,f1518,f1521,f248,f381]) ).
fof(f12951,plain,
( ~ sQ5_spl
| ~ sQ50_spl
| sQ220_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f12948,f3205,f1718,f248,f94]) ).
fof(f12952,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ58_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1287,f407]) ).
fof(f12954,plain,
( ~ sQ98_spl
| ~ sQ58_spl
| sQ203_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f12952,f2189,f1521,f273,f406]) ).
fof(f12957,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ58_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1286,f407]) ).
fof(f12959,plain,
( ~ sQ98_spl
| ~ sQ58_spl
| sQ136_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f12957,f2189,f771,f273,f406]) ).
fof(f12965,plain,
( ~ sQ106_spl
| ~ sQ81_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1615,f438]) ).
fof(f12966,plain,
( ~ sQ106_spl
| ~ sQ81_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f12965,f846,f352,f437]) ).
fof(f12999,plain,
( ~ sQ45_spl
| ~ sQ400_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f5255,f228]) ).
fof(f13002,plain,
( ~ sQ106_spl
| ~ sQ101_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f2145,f438]) ).
fof(f13003,plain,
( ~ sQ106_spl
| ~ sQ101_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f13002,f799,f421,f437]) ).
fof(f13004,plain,
( ~ sQ444_spl
| ~ sQ85_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f10392,f358,f365,f8559]) ).
fof(f13005,plain,
( ~ sQ45_spl
| ~ sQ456_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f10164,f228]) ).
fof(f13006,plain,
( ~ sQ45_spl
| ~ sQ446_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f8639,f228]) ).
fof(f13011,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ91_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2367,f438]) ).
fof(f13012,plain,
( ~ sQ106_spl
| ~ sQ91_spl
| sQ156_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f13011,f2370,f1015,f384,f437]) ).
fof(f13013,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ91_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f2368,f438]) ).
fof(f13014,plain,
( ~ sQ106_spl
| ~ sQ91_spl
| sQ149_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f13013,f2370,f846,f384,f437]) ).
fof(f13015,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ121_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1857,f438]) ).
fof(f13016,plain,
( ~ sQ106_spl
| ~ sQ121_spl
| sQ126_spl
| sQ456_spl ),
inference(split_clause,[status(thm)],[f13015,f10163,f507,f485,f437]) ).
fof(f13020,plain,
( ~ sQ106_spl
| ~ sQ210_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1651,f438]) ).
fof(f13076,plain,
( ~ sQ106_spl
| ~ sQ121_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1854,f438]) ).
fof(f13077,plain,
( ~ sQ106_spl
| ~ sQ121_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f13076,f1005,f485,f437]) ).
fof(f13078,plain,
( ~ sQ5_spl
| ~ sQ265_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f2245,f95]) ).
fof(f13095,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ123_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1840,f205]) ).
fof(f13096,plain,
( ~ sQ38_spl
| ~ sQ123_spl
| sQ144_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f13095,f2333,f820,f491,f204]) ).
fof(f13097,plain,
( ~ sQ45_spl
| ~ sQ278_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f2334,f228]) ).
fof(f13098,plain,
( ~ sQ45_spl
| ~ sQ278_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f13097,f204,f2333,f227]) ).
fof(f13099,plain,
( ~ sQ334_spl
| ~ sQ90_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f12649,f358,f381,f3483]) ).
fof(f13134,plain,
( ~ sQ42_spl
| ~ sQ301_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f2855,f218]) ).
fof(f13137,plain,
( ~ sQ38_spl
| ~ sQ28_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f173,f754]) ).
fof(f13138,plain,
( ~ sQ78_spl
| ~ sQ28_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f173,f1700]) ).
fof(f13139,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ28_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f173,f1703]) ).
fof(f13140,plain,
! [X0] :
( ~ sQ78_spl
| ~ sQ28_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f173,f1704]) ).
fof(f13141,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ28_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f173,f757]) ).
fof(f13142,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ28_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f173,f756]) ).
fof(f13143,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f173,f63]) ).
fof(f13144,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f173,f61]) ).
fof(f13145,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f173,f59]) ).
fof(f13146,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f173,f67]) ).
fof(f13147,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f173,f65]) ).
fof(f13148,plain,
( ~ sQ38_spl
| ~ sQ28_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f13137,f1718,f172,f204]) ).
fof(f13149,plain,
( ~ sQ78_spl
| ~ sQ28_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f13138,f1015,f172,f342]) ).
fof(f13150,plain,
( ~ sQ78_spl
| ~ sQ28_spl
| sQ138_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f13139,f3611,f786,f172,f342]) ).
fof(f13151,plain,
( ~ sQ78_spl
| ~ sQ28_spl
| sQ156_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f13140,f3611,f1015,f172,f342]) ).
fof(f13152,plain,
( ~ sQ38_spl
| ~ sQ28_spl
| sQ132_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f13141,f5342,f657,f172,f204]) ).
fof(f13153,plain,
( ~ sQ38_spl
| ~ sQ28_spl
| sQ220_spl
| sQ403_spl ),
inference(split_clause,[status(thm)],[f13142,f5342,f1718,f172,f204]) ).
fof(f13157,plain,
( ~ sQ45_spl
| ~ sQ231_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f1825,f228]) ).
fof(f13158,plain,
( ~ sQ38_spl
| ~ sQ322_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f3281,f205]) ).
fof(f13191,plain,
( ~ sQ112_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f457,f2020]) ).
fof(f13192,plain,
( ~ sQ112_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f457,f2019]) ).
fof(f13193,plain,
( ~ sQ87_spl
| ~ sQ112_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f457,f1572]) ).
fof(f13194,plain,
( ~ sQ112_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f457,f2018]) ).
fof(f13195,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ112_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f457,f2243]) ).
fof(f13196,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ112_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f457,f2242]) ).
fof(f13197,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ112_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f457,f524]) ).
fof(f13198,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ112_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f457,f525]) ).
fof(f13199,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ112_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f457,f572]) ).
fof(f13200,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ112_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f457,f573]) ).
fof(f13201,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ112_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f457,f1576]) ).
fof(f13202,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ112_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f457,f1575]) ).
fof(f13203,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f457,f2021]) ).
fof(f13204,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f457,f2022]) ).
fof(f13210,plain,
( ~ sQ87_spl
| ~ sQ112_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f13193,f846,f456,f371]) ).
fof(f13211,plain,
( ~ sQ2_spl
| ~ sQ112_spl
| sQ169_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f13195,f2264,f1144,f456,f84]) ).
fof(f13212,plain,
( ~ sQ2_spl
| ~ sQ112_spl
| sQ158_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f13196,f2264,f1043,f456,f84]) ).
fof(f13213,plain,
( ~ sQ22_spl
| ~ sQ112_spl
| sQ144_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f13197,f1994,f820,f456,f148]) ).
fof(f13214,plain,
( ~ sQ22_spl
| ~ sQ112_spl
| sQ169_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f13198,f1994,f1144,f456,f148]) ).
fof(f13215,plain,
( ~ sQ17_spl
| ~ sQ112_spl
| sQ177_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f13199,f2068,f1208,f456,f132]) ).
fof(f13216,plain,
( ~ sQ17_spl
| ~ sQ112_spl
| sQ169_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f13200,f2068,f1144,f456,f132]) ).
fof(f13217,plain,
( ~ sQ87_spl
| ~ sQ112_spl
| sQ149_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f13201,f2040,f846,f456,f371]) ).
fof(f13218,plain,
( ~ sQ87_spl
| ~ sQ112_spl
| sQ130_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f13202,f2040,f643,f456,f371]) ).
fof(f13219,plain,
( ~ sQ112_spl
| sQ130_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f13203,f4721,f643,f456]) ).
fof(f13220,plain,
( ~ sQ112_spl
| sQ126_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f13204,f4721,f507,f456]) ).
fof(f13221,plain,
( ~ sQ71_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f316,f1056]) ).
fof(f13222,plain,
( ~ sQ71_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f316,f1055]) ).
fof(f13223,plain,
( ~ sQ71_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f316,f1054]) ).
fof(f13224,plain,
( ~ sQ285_spl
| ~ sQ71_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f316,f2495]) ).
fof(f13225,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ71_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f316,f1619]) ).
fof(f13226,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ71_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f316,f1618]) ).
fof(f13228,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ71_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f316,f689]) ).
fof(f13229,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ71_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f316,f2368]) ).
fof(f13230,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ71_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f316,f2367]) ).
fof(f13240,plain,
( ~ sQ81_spl
| ~ sQ71_spl
| sQ177_spl
| sQ463_spl ),
inference(split_clause,[status(thm)],[f13225,f11648,f1208,f315,f352]) ).
fof(f13241,plain,
( ~ sQ81_spl
| ~ sQ71_spl
| sQ136_spl
| sQ463_spl ),
inference(split_clause,[status(thm)],[f13226,f11648,f771,f315,f352]) ).
fof(f13243,plain,
( ~ sQ6_spl
| ~ sQ71_spl
| sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f13228,f1039,f1043,f315,f97]) ).
fof(f13244,plain,
( ~ sQ91_spl
| ~ sQ71_spl
| sQ177_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f13229,f5108,f1208,f315,f384]) ).
fof(f13245,plain,
( ~ sQ91_spl
| ~ sQ71_spl
| sQ149_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f13230,f5108,f846,f315,f384]) ).
fof(f13250,plain,
( ~ sQ193_spl
| ~ sQ121_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f1850,f472,f485,f1422]) ).
fof(f13264,plain,
( ~ sQ81_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f353,f1617]) ).
fof(f13265,plain,
( ~ sQ81_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f353,f1616]) ).
fof(f13266,plain,
( ~ sQ31_spl
| ~ sQ81_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f353,f940]) ).
fof(f13267,plain,
( ~ sQ81_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f353,f1615]) ).
fof(f13268,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ81_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f353,f1856]) ).
fof(f13269,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ81_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f353,f1857]) ).
fof(f13270,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ81_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f353,f1231]) ).
fof(f13271,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ81_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f353,f1230]) ).
fof(f13272,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ81_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f353,f2038]) ).
fof(f13273,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ81_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f353,f2037]) ).
fof(f13274,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ81_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f353,f943]) ).
fof(f13275,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ81_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f353,f944]) ).
fof(f13276,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f353,f1619]) ).
fof(f13283,plain,
( ~ sQ31_spl
| ~ sQ81_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f13266,f764,f352,f182]) ).
fof(f13284,plain,
( ~ sQ121_spl
| ~ sQ81_spl
| sQ154_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f13268,f6345,f1005,f352,f485]) ).
fof(f13285,plain,
( ~ sQ121_spl
| ~ sQ81_spl
| sQ146_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f13269,f6345,f827,f352,f485]) ).
fof(f13286,definition,
! [X0] :
( sQ467_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ467_spl])],[split_symbol_definition]) ).
fof(f13287,plain,
! [X0] :
( ~ sQ467_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f13286]) ).
fof(f13289,plain,
( ~ sQ61_spl
| ~ sQ81_spl
| sQ203_spl
| sQ467_spl ),
inference(split_clause,[status(thm)],[f13270,f13286,f1521,f352,f283]) ).
fof(f13290,plain,
( ~ sQ61_spl
| ~ sQ81_spl
| sQ288_spl
| sQ467_spl ),
inference(split_clause,[status(thm)],[f13271,f13286,f2546,f352,f283]) ).
fof(f13291,plain,
( ~ sQ111_spl
| ~ sQ81_spl
| sQ146_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f13272,f2073,f827,f352,f453]) ).
fof(f13292,plain,
( ~ sQ111_spl
| ~ sQ81_spl
| sQ288_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f13273,f2073,f2546,f352,f453]) ).
fof(f13293,plain,
( ~ sQ31_spl
| ~ sQ81_spl
| sQ132_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f13274,f3560,f657,f352,f182]) ).
fof(f13294,plain,
( ~ sQ31_spl
| ~ sQ81_spl
| sQ134_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f13275,f3560,f764,f352,f182]) ).
fof(f13295,plain,
( ~ sQ81_spl
| sQ128_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f13276,f1689,f553,f352]) ).
fof(f13297,plain,
( ~ sQ198_spl
| ~ sQ83_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f1601,f339,f358,f1447]) ).
fof(f13298,plain,
( ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f95,f697]) ).
fof(f13299,plain,
( ~ sQ5_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f95,f696]) ).
fof(f13300,plain,
( ~ sQ5_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f95,f695]) ).
fof(f13318,plain,
( ~ sQ45_spl
| ~ sQ409_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f5700,f228]) ).
fof(f13321,plain,
( ~ sQ45_spl
| ~ sQ234_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1933,f228]) ).
fof(f13330,plain,
( ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f117,f618]) ).
fof(f13331,plain,
( ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f117,f617]) ).
fof(f13332,plain,
( ~ sQ344_spl
| ~ sQ12_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f117,f3671]) ).
fof(f13334,plain,
( ~ sQ12_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f117,f616]) ).
fof(f13337,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ12_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f117,f1845]) ).
fof(f13338,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ12_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f117,f1846]) ).
fof(f13352,plain,
( ~ sQ122_spl
| ~ sQ12_spl
| sQ144_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f13337,f4679,f820,f116,f488]) ).
fof(f13353,plain,
( ~ sQ122_spl
| ~ sQ12_spl
| sQ188_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f13338,f4679,f1394,f116,f488]) ).
fof(f13361,plain,
( ~ sQ100_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f419,f2154]) ).
fof(f13362,plain,
( ~ sQ100_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f419,f2153]) ).
fof(f13363,plain,
( ~ sQ100_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f419,f2152]) ).
fof(f13368,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ100_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f419,f699]) ).
fof(f13369,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ100_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f419,f698]) ).
fof(f13381,plain,
( ~ sQ5_spl
| ~ sQ100_spl
| sQ169_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f13368,f3236,f1144,f418,f94]) ).
fof(f13382,plain,
( ~ sQ5_spl
| ~ sQ100_spl
| sQ199_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f13369,f3236,f1450,f418,f94]) ).
fof(f13385,plain,
( ~ sQ111_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f454,f2036]) ).
fof(f13386,plain,
( ~ sQ116_spl
| ~ sQ111_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f454,f1905]) ).
fof(f13387,plain,
( ~ sQ106_spl
| ~ sQ111_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f454,f2104]) ).
fof(f13388,plain,
( ~ sQ111_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f454,f2035]) ).
fof(f13389,plain,
( ~ sQ36_spl
| ~ sQ111_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f454,f874]) ).
fof(f13390,plain,
( ~ sQ111_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f454,f2034]) ).
fof(f13391,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ111_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f454,f1908]) ).
fof(f13392,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ111_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f454,f1907]) ).
fof(f13395,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ111_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f454,f1057]) ).
fof(f13396,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ111_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f454,f1058]) ).
fof(f13397,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ111_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f454,f2293]) ).
fof(f13398,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ111_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f454,f2292]) ).
fof(f13399,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ111_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f454,f878]) ).
fof(f13402,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ111_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f454,f2106]) ).
fof(f13410,plain,
( ~ sQ116_spl
| ~ sQ111_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f13386,f1208,f453,f469]) ).
fof(f13411,plain,
( ~ sQ106_spl
| ~ sQ111_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f13387,f1115,f453,f437]) ).
fof(f13412,plain,
( ~ sQ36_spl
| ~ sQ111_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f13389,f771,f453,f198]) ).
fof(f13413,plain,
( ~ sQ116_spl
| ~ sQ111_spl
| sQ126_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f13391,f1960,f507,f453,f469]) ).
fof(f13414,plain,
( ~ sQ116_spl
| ~ sQ111_spl
| sQ177_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f13392,f1960,f1208,f453,f469]) ).
fof(f13417,plain,
( ~ sQ71_spl
| ~ sQ111_spl
| sQ144_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f13395,f7662,f820,f453,f315]) ).
fof(f13418,plain,
( ~ sQ71_spl
| ~ sQ111_spl
| sQ228_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f13396,f7662,f1809,f453,f315]) ).
fof(f13419,plain,
( ~ sQ1_spl
| ~ sQ111_spl
| sQ169_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f13397,f2264,f1144,f453,f81]) ).
fof(f13420,plain,
( ~ sQ1_spl
| ~ sQ111_spl
| sQ158_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f13398,f2264,f1043,f453,f81]) ).
fof(f13421,plain,
( ~ sQ36_spl
| ~ sQ111_spl
| sQ136_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f13399,f5069,f771,f453,f198]) ).
fof(f13424,plain,
( ~ sQ106_spl
| ~ sQ111_spl
| sQ163_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f13402,f4014,f1115,f453,f437]) ).
fof(f13427,plain,
( ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f274,f1285]) ).
fof(f13428,plain,
( ~ sQ68_spl
| ~ sQ58_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f274,f2343]) ).
fof(f13429,plain,
( ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f274,f1284]) ).
fof(f13430,plain,
( ~ sQ83_spl
| ~ sQ58_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f274,f1602]) ).
fof(f13431,plain,
( ~ sQ58_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f274,f1283]) ).
fof(f13432,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ58_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f274,f13147]) ).
fof(f13433,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ58_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f274,f13146]) ).
fof(f13435,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ58_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f274,f1606]) ).
fof(f13436,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ58_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f274,f2346]) ).
fof(f13437,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ58_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f274,f2345]) ).
fof(f13438,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ58_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f274,f1371]) ).
fof(f13439,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ58_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f274,f1370]) ).
fof(f13440,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ58_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f274,f1561]) ).
fof(f13441,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ58_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f274,f1560]) ).
fof(f13449,plain,
( ~ sQ68_spl
| ~ sQ58_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f13428,f1015,f273,f305]) ).
fof(f13450,plain,
( ~ sQ83_spl
| ~ sQ58_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f13430,f1208,f273,f358]) ).
fof(f13451,plain,
( ~ sQ28_spl
| ~ sQ58_spl
| sQ163_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f13432,f4457,f1115,f273,f172]) ).
fof(f13452,plain,
( ~ sQ28_spl
| ~ sQ58_spl
| sQ140_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f13433,f4457,f799,f273,f172]) ).
fof(f13454,plain,
( ~ sQ83_spl
| ~ sQ58_spl
| sQ177_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f13435,f1650,f1208,f273,f358]) ).
fof(f13455,plain,
( ~ sQ68_spl
| ~ sQ58_spl
| sQ130_spl
| sQ466_spl ),
inference(split_clause,[status(thm)],[f13436,f11956,f643,f273,f305]) ).
fof(f13456,plain,
( ~ sQ68_spl
| ~ sQ58_spl
| sQ156_spl
| sQ466_spl ),
inference(split_clause,[status(thm)],[f13437,f11956,f1015,f273,f305]) ).
fof(f13457,plain,
( ~ sQ98_spl
| ~ sQ58_spl
| sQ177_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f13438,f2189,f1208,f273,f406]) ).
fof(f13458,plain,
( ~ sQ98_spl
| ~ sQ58_spl
| sQ154_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f13439,f2189,f1005,f273,f406]) ).
fof(f13459,definition,
! [X0] :
( sQ468_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ468_spl])],[split_symbol_definition]) ).
fof(f13460,plain,
! [X0] :
( ~ sQ468_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f13459]) ).
fof(f13462,plain,
( ~ sQ88_spl
| ~ sQ58_spl
| sQ177_spl
| sQ468_spl ),
inference(split_clause,[status(thm)],[f13440,f13459,f1208,f273,f374]) ).
fof(f13463,plain,
( ~ sQ88_spl
| ~ sQ58_spl
| sQ288_spl
| sQ468_spl ),
inference(split_clause,[status(thm)],[f13441,f13459,f2546,f273,f374]) ).
fof(f13466,plain,
( ~ sQ88_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f375,f1559]) ).
fof(f13467,plain,
( ~ sQ83_spl
| ~ sQ88_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f375,f1603]) ).
fof(f13468,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f375,f1368]) ).
fof(f13469,plain,
( ~ sQ88_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f375,f1558]) ).
fof(f13470,plain,
( ~ sQ323_spl
| ~ sQ88_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f375,f3286]) ).
fof(f13471,plain,
( ~ sQ88_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f375,f1557]) ).
fof(f13472,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ88_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f375,f13147]) ).
fof(f13473,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ88_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f375,f13146]) ).
fof(f13474,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ88_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f375,f1605]) ).
fof(f13475,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ88_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f375,f1606]) ).
fof(f13476,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ88_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f375,f2346]) ).
fof(f13477,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ88_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f375,f2345]) ).
fof(f13479,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ88_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f375,f1370]) ).
fof(f13480,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f375,f1561]) ).
fof(f13481,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f375,f1560]) ).
fof(f13487,plain,
( ~ sQ83_spl
| ~ sQ88_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f13467,f1115,f374,f358]) ).
fof(f13488,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f13468,f820,f374,f406]) ).
fof(f13489,plain,
( ~ sQ28_spl
| ~ sQ88_spl
| sQ134_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f13472,f4441,f764,f374,f172]) ).
fof(f13490,plain,
( ~ sQ28_spl
| ~ sQ88_spl
| sQ158_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f13473,f4441,f1043,f374,f172]) ).
fof(f13491,definition,
! [X0] :
( sQ469_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ469_spl])],[split_symbol_definition]) ).
fof(f13492,plain,
! [X0] :
( ~ sQ469_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f13491]) ).
fof(f13494,plain,
( ~ sQ83_spl
| ~ sQ88_spl
| sQ163_spl
| sQ469_spl ),
inference(split_clause,[status(thm)],[f13474,f13491,f1115,f374,f358]) ).
fof(f13495,plain,
( ~ sQ83_spl
| ~ sQ88_spl
| sQ128_spl
| sQ469_spl ),
inference(split_clause,[status(thm)],[f13475,f13491,f553,f374,f358]) ).
fof(f13496,plain,
( ~ sQ68_spl
| ~ sQ88_spl
| sQ203_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f13476,f10097,f1521,f374,f305]) ).
fof(f13497,plain,
( ~ sQ68_spl
| ~ sQ88_spl
| sQ177_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f13477,f10097,f1208,f374,f305]) ).
fof(f13499,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| sQ144_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f13479,f3445,f820,f374,f406]) ).
fof(f13500,plain,
( ~ sQ88_spl
| sQ128_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f13480,f1683,f553,f374]) ).
fof(f13501,plain,
( ~ sQ88_spl
| sQ130_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f13481,f1683,f643,f374]) ).
fof(f13502,plain,
( ~ sQ350_spl
| ~ sQ61_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5953,f276,f283,f3849]) ).
fof(f13503,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f13504,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f13505,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f13516,plain,
( ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f218,f738]) ).
fof(f13517,plain,
( ~ sQ42_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f737]) ).
fof(f13518,plain,
( ~ sQ42_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f218,f736]) ).
fof(f13537,plain,
( ~ sQ106_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f438,f2105]) ).
fof(f13538,plain,
( ~ sQ116_spl
| ~ sQ106_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f438,f1905]) ).
fof(f13539,plain,
( ~ sQ106_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f438,f2104]) ).
fof(f13540,plain,
( ~ sQ106_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f438,f2103]) ).
fof(f13542,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ106_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f438,f1907]) ).
fof(f13545,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ106_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f438,f878]) ).
fof(f13546,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ106_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f438,f877]) ).
fof(f13554,plain,
( ~ sQ116_spl
| ~ sQ106_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f13538,f1015,f437,f469]) ).
fof(f13556,plain,
( ~ sQ116_spl
| ~ sQ106_spl
| sQ156_spl
| sQ419_spl ),
inference(split_clause,[status(thm)],[f13542,f6266,f1015,f437,f469]) ).
fof(f13559,plain,
( ~ sQ36_spl
| ~ sQ106_spl
| sQ136_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f13545,f3285,f771,f437,f198]) ).
fof(f13560,plain,
( ~ sQ36_spl
| ~ sQ106_spl
| sQ288_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f13546,f3285,f2546,f437,f198]) ).
fof(f13570,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ17_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f572,f218]) ).
fof(f13571,plain,
( ~ sQ42_spl
| ~ sQ17_spl
| sQ128_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f13570,f3085,f553,f132,f217]) ).
fof(f13604,plain,
( ~ sQ42_spl
| ~ sQ17_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f569,f218]) ).
fof(f13605,plain,
( ~ sQ42_spl
| ~ sQ17_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f13604,f799,f132,f217]) ).
fof(f13606,plain,
( ~ sQ106_spl
| ~ sQ210_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1651,f438]) ).
fof(f13615,plain,
( ~ sQ5_spl
| ~ sQ359_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f4010,f95]) ).
fof(f13616,plain,
( ~ sQ106_spl
| ~ sQ274_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f2301,f438]) ).
fof(f13617,plain,
( ~ sQ45_spl
| ~ sQ276_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f2324,f228]) ).
fof(f13624,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ71_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1057,f438]) ).
fof(f13625,plain,
( ~ sQ106_spl
| ~ sQ71_spl
| sQ154_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f13624,f2214,f1005,f315,f437]) ).
fof(f13646,plain,
( ~ sQ98_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f407,f1369]) ).
fof(f13647,plain,
( ~ sQ98_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f407,f1368]) ).
fof(f13649,plain,
( ~ sQ98_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f407,f1367]) ).
fof(f13650,plain,
( ~ sQ433_spl
| ~ sQ98_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f407,f7307]) ).
fof(f13651,plain,
( ~ sQ135_spl
| ~ sQ98_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f407,f769]) ).
fof(f13656,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ98_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f407,f1884]) ).
fof(f13657,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ98_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f407,f1883]) ).
fof(f13669,plain,
( ~ sQ118_spl
| ~ sQ98_spl
| sQ146_spl
| sQ431_spl ),
inference(split_clause,[status(thm)],[f13656,f7243,f827,f406,f475]) ).
fof(f13670,plain,
( ~ sQ118_spl
| ~ sQ98_spl
| sQ149_spl
| sQ431_spl ),
inference(split_clause,[status(thm)],[f13657,f7243,f846,f406,f475]) ).
fof(f13673,plain,
( ~ sQ91_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f385,f2366]) ).
fof(f13674,plain,
( ~ sQ91_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f385,f2365]) ).
fof(f13675,plain,
( ~ sQ205_spl
| ~ sQ91_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f385,f1545]) ).
fof(f13676,plain,
( ~ sQ91_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f385,f2364]) ).
fof(f13677,plain,
( ~ sQ279_spl
| ~ sQ91_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f385,f2371]) ).
fof(f13682,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ91_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f385,f9943]) ).
fof(f13683,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ91_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f385,f9942]) ).
fof(f13697,plain,
( ~ sQ26_spl
| ~ sQ91_spl
| sQ134_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f13682,f5337,f764,f384,f166]) ).
fof(f13698,plain,
( ~ sQ26_spl
| ~ sQ91_spl
| sQ167_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f13683,f5337,f1137,f384,f166]) ).
fof(f13703,plain,
( ~ sQ122_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f489,f1844]) ).
fof(f13704,plain,
( ~ sQ122_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f489,f1843]) ).
fof(f13705,plain,
( ~ sQ263_spl
| ~ sQ122_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f489,f2215]) ).
fof(f13706,plain,
( ~ sQ168_spl
| ~ sQ122_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f489,f1142]) ).
fof(f13707,plain,
( ~ sQ395_spl
| ~ sQ122_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f489,f5109]) ).
fof(f13708,plain,
( ~ sQ122_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f489,f1842]) ).
fof(f13709,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ122_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f489,f1300]) ).
fof(f13710,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ122_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f489,f1301]) ).
fof(f13711,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ122_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f489,f2243]) ).
fof(f13713,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ122_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f489,f1612]) ).
fof(f13714,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ122_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f489,f1611]) ).
fof(f13715,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f489,f1845]) ).
fof(f13717,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ122_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f489,f740]) ).
fof(f13718,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ122_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f489,f739]) ).
fof(f13724,plain,
( ~ sQ57_spl
| ~ sQ122_spl
| sQ136_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f13709,f1819,f771,f488,f270]) ).
fof(f13725,plain,
( ~ sQ57_spl
| ~ sQ122_spl
| sQ228_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f13710,f1819,f1809,f488,f270]) ).
fof(f13726,plain,
( ~ sQ2_spl
| ~ sQ122_spl
| sQ169_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f13711,f2323,f1144,f488,f84]) ).
fof(f13728,plain,
( ~ sQ82_spl
| ~ sQ122_spl
| sQ149_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f13713,f6345,f846,f488,f355]) ).
fof(f13729,plain,
( ~ sQ82_spl
| ~ sQ122_spl
| sQ136_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f13714,f6345,f771,f488,f355]) ).
fof(f13730,plain,
( ~ sQ122_spl
| sQ126_spl
| sQ447_spl ),
inference(split_clause,[status(thm)],[f13715,f8981,f507,f488]) ).
fof(f13732,plain,
( ~ sQ42_spl
| ~ sQ122_spl
| sQ136_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f13717,f2565,f771,f488,f217]) ).
fof(f13733,plain,
( ~ sQ42_spl
| ~ sQ122_spl
| sQ149_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f13718,f2565,f846,f488,f217]) ).
fof(f13734,plain,
( ~ sQ91_spl
| ~ sQ402_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f5338,f385]) ).
fof(f13735,plain,
( ~ sQ45_spl
| ~ sQ230_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f1820,f228]) ).
fof(f13736,plain,
( ~ sQ85_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f366,f1593]) ).
fof(f13737,plain,
( ~ sQ85_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f366,f1592]) ).
fof(f13738,plain,
( ~ sQ85_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f366,f1591]) ).
fof(f13739,plain,
( ~ sQ444_spl
| ~ sQ85_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f366,f8560]) ).
fof(f13740,plain,
( ~ sQ337_spl
| ~ sQ85_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f366,f3592]) ).
fof(f13743,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ85_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f366,f2156]) ).
fof(f13744,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ85_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f366,f2155]) ).
fof(f13756,plain,
( ~ sQ100_spl
| ~ sQ85_spl
| sQ146_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f13743,f9831,f827,f365,f418]) ).
fof(f13757,plain,
( ~ sQ100_spl
| ~ sQ85_spl
| sQ158_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f13744,f9831,f1043,f365,f418]) ).
fof(f13762,plain,
( ~ sQ82_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f356,f1610]) ).
fof(f13763,plain,
( ~ sQ82_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f356,f1609]) ).
fof(f13764,plain,
( ~ sQ57_spl
| ~ sQ82_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f356,f1297]) ).
fof(f13765,plain,
( ~ sQ82_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f356,f1608]) ).
fof(f13766,plain,
( ~ sQ266_spl
| ~ sQ82_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f356,f2250]) ).
fof(f13767,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ82_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f356,f1300]) ).
fof(f13768,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ82_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f356,f1301]) ).
fof(f13774,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ82_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f356,f1846]) ).
fof(f13782,plain,
( ~ sQ57_spl
| ~ sQ82_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f13764,f1521,f355,f270]) ).
fof(f13783,plain,
( ~ sQ266_spl
| ~ sQ82_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f13766,f345,f355,f2249]) ).
fof(f13784,plain,
( ~ sQ57_spl
| ~ sQ82_spl
| sQ132_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f13767,f1650,f657,f355,f270]) ).
fof(f13785,plain,
( ~ sQ57_spl
| ~ sQ82_spl
| sQ203_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f13768,f1650,f1521,f355,f270]) ).
fof(f13791,plain,
( ~ sQ122_spl
| ~ sQ82_spl
| sQ146_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f13774,f6345,f827,f355,f488]) ).
fof(f13794,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ76_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1743,f385]) ).
fof(f13796,plain,
( ~ sQ91_spl
| ~ sQ76_spl
| sQ167_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f13794,f3596,f1137,f336,f384]) ).
fof(f13798,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ76_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1744,f385]) ).
fof(f13800,plain,
( ~ sQ91_spl
| ~ sQ76_spl
| sQ128_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f13798,f3596,f553,f336,f384]) ).
fof(f13807,plain,
( ~ sQ5_spl
| ~ sQ381_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f4604,f95]) ).
fof(f13808,plain,
( ~ sQ91_spl
| ~ sQ280_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f2378,f385]) ).
fof(f13809,plain,
( ~ sQ91_spl
| ~ sQ338_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f3597,f385]) ).
fof(f13810,plain,
( ~ sQ91_spl
| ~ sQ338_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f13809,f336,f3596,f384]) ).
fof(f13811,plain,
( ~ sQ378_spl
| ~ sQ91_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f8571,f345,f384,f4542]) ).
fof(f13812,plain,
( ~ sQ5_spl
| ~ sQ450_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f12224,f84,f9346,f94]) ).
fof(f13854,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ61_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1230,f385]) ).
fof(f13856,plain,
( ~ sQ91_spl
| ~ sQ61_spl
| sQ203_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f13854,f3965,f1521,f283,f384]) ).
fof(f13858,plain,
( ~ sQ91_spl
| ~ sQ356_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f3966,f385]) ).
fof(f13863,plain,
( ~ sQ118_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f476,f1882]) ).
fof(f13864,plain,
( ~ sQ113_spl
| ~ sQ118_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f476,f1979]) ).
fof(f13865,plain,
( ~ sQ123_spl
| ~ sQ118_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f476,f1838]) ).
fof(f13866,plain,
( ~ sQ118_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f476,f1881]) ).
fof(f13867,plain,
( ~ sQ272_spl
| ~ sQ118_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f476,f2280]) ).
fof(f13868,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f476,f560]) ).
fof(f13869,plain,
( ~ sQ118_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f476,f1880]) ).
fof(f13870,plain,
( ~ sQ186_spl
| ~ sQ118_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f476,f1320]) ).
fof(f13871,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ118_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f476,f1338]) ).
fof(f13872,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ118_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f476,f1337]) ).
fof(f13873,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ118_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f476,f1982]) ).
fof(f13874,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ118_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f476,f1981]) ).
fof(f13875,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ118_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f476,f1840]) ).
fof(f13876,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ118_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f476,f1841]) ).
fof(f13877,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ118_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f476,f13147]) ).
fof(f13878,plain,
! [X0] :
( ~ sQ28_spl
| ~ sQ118_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f476,f13146]) ).
fof(f13879,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ118_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f476,f1605]) ).
fof(f13880,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ118_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f476,f1606]) ).
fof(f13881,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ118_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f476,f1038]) ).
fof(f13882,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ118_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f476,f1037]) ).
fof(f13883,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ118_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f476,f564]) ).
fof(f13884,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ118_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f476,f563]) ).
fof(f13885,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f476,f1884]) ).
fof(f13886,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f476,f1883]) ).
fof(f13892,plain,
( ~ sQ113_spl
| ~ sQ118_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f13864,f1521,f475,f459]) ).
fof(f13893,plain,
( ~ sQ123_spl
| ~ sQ118_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f13865,f827,f475,f491]) ).
fof(f13894,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f13868,f1144,f475,f135]) ).
fof(f13895,plain,
( ~ sQ53_spl
| ~ sQ118_spl
| sQ228_spl
| sQ458_spl ),
inference(split_clause,[status(thm)],[f13871,f10768,f1809,f475,f257]) ).
fof(f13896,plain,
( ~ sQ53_spl
| ~ sQ118_spl
| sQ167_spl
| sQ458_spl ),
inference(split_clause,[status(thm)],[f13872,f10768,f1137,f475,f257]) ).
fof(f13897,plain,
( ~ sQ113_spl
| ~ sQ118_spl
| sQ126_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f13873,f1960,f507,f475,f459]) ).
fof(f13898,plain,
( ~ sQ113_spl
| ~ sQ118_spl
| sQ203_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f13874,f1960,f1521,f475,f459]) ).
fof(f13899,plain,
( ~ sQ123_spl
| ~ sQ118_spl
| sQ146_spl
| sQ451_spl ),
inference(split_clause,[status(thm)],[f13875,f9601,f827,f475,f491]) ).
fof(f13900,plain,
( ~ sQ123_spl
| ~ sQ118_spl
| sQ126_spl
| sQ451_spl ),
inference(split_clause,[status(thm)],[f13876,f9601,f507,f475,f491]) ).
fof(f13901,plain,
( ~ sQ28_spl
| ~ sQ118_spl
| sQ136_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f13877,f5326,f771,f475,f172]) ).
fof(f13902,plain,
( ~ sQ28_spl
| ~ sQ118_spl
| sQ167_spl
| sQ401_spl ),
inference(split_clause,[status(thm)],[f13878,f5326,f1137,f475,f172]) ).
fof(f13903,plain,
( ~ sQ83_spl
| ~ sQ118_spl
| sQ134_spl
| sQ461_spl ),
inference(split_clause,[status(thm)],[f13879,f10835,f764,f475,f358]) ).
fof(f13904,plain,
( ~ sQ83_spl
| ~ sQ118_spl
| sQ149_spl
| sQ461_spl ),
inference(split_clause,[status(thm)],[f13880,f10835,f846,f475,f358]) ).
fof(f13905,plain,
( ~ sQ73_spl
| ~ sQ118_spl
| sQ228_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f13881,f5512,f1809,f475,f321]) ).
fof(f13906,plain,
( ~ sQ73_spl
| ~ sQ118_spl
| sQ146_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f13882,f5512,f827,f475,f321]) ).
fof(f13907,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| sQ169_spl
| sQ453_spl ),
inference(split_clause,[status(thm)],[f13883,f9857,f1144,f475,f135]) ).
fof(f13908,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| sQ128_spl
| sQ453_spl ),
inference(split_clause,[status(thm)],[f13884,f9857,f553,f475,f135]) ).
fof(f13909,plain,
( ~ sQ118_spl
| sQ126_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f13885,f1964,f507,f475]) ).
fof(f13910,plain,
( ~ sQ118_spl
| sQ128_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f13886,f1964,f553,f475]) ).
fof(f13911,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f136,f562]) ).
fof(f13912,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f136,f561]) ).
fof(f13914,plain,
( ~ sQ18_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f560]) ).
fof(f13924,plain,
( ~ sQ69_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f309,f1066]) ).
fof(f13925,plain,
( ~ sQ69_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f309,f1065]) ).
fof(f13926,plain,
( ~ sQ69_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f309,f1064]) ).
fof(f13927,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ69_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f309,f501]) ).
fof(f13928,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ69_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f309,f502]) ).
fof(f13929,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ69_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f309,f1631]) ).
fof(f13930,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ69_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f309,f1630]) ).
fof(f13932,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f309,f1068]) ).
fof(f13933,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ69_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f309,f908]) ).
fof(f13940,plain,
( ~ sQ24_spl
| ~ sQ69_spl
| sQ146_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f13927,f1093,f827,f308,f154]) ).
fof(f13941,plain,
( ~ sQ24_spl
| ~ sQ69_spl
| sQ158_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f13928,f1093,f1043,f308,f154]) ).
fof(f13942,plain,
( ~ sQ79_spl
| ~ sQ69_spl
| sQ177_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f13929,f4397,f1208,f308,f345]) ).
fof(f13943,plain,
( ~ sQ79_spl
| ~ sQ69_spl
| sQ167_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f13930,f4397,f1137,f308,f345]) ).
fof(f13945,plain,
( ~ sQ69_spl
| sQ130_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f13932,f1165,f643,f308]) ).
fof(f13946,plain,
( ~ sQ34_spl
| ~ sQ69_spl
| sQ134_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f13933,f1175,f764,f308,f191]) ).
fof(f13948,plain,
( ~ sQ23_spl
| ~ sQ425_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f9946,f129,f7001,f151]) ).
fof(f13949,plain,
( ~ sQ168_spl
| ~ sQ122_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f13706,f427,f488,f1141]) ).
fof(f13953,plain,
( ~ sQ45_spl
| ~ sQ455_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f10109,f228]) ).
fof(f13975,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f167,f997]) ).
fof(f13976,plain,
( ~ sQ26_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f167,f996]) ).
fof(f13977,plain,
( ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f995]) ).
fof(f13982,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ26_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f167,f2368]) ).
fof(f13983,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ26_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f167,f2367]) ).
fof(f14001,plain,
( ~ sQ91_spl
| ~ sQ26_spl
| sQ156_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f13982,f5337,f1015,f166,f384]) ).
fof(f14002,plain,
( ~ sQ91_spl
| ~ sQ26_spl
| sQ195_spl
| sQ402_spl ),
inference(split_clause,[status(thm)],[f13983,f5337,f1429,f166,f384]) ).
fof(f14011,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f755]) ).
fof(f14012,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f754]) ).
fof(f14013,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f753]) ).
fof(f14014,plain,
( ~ sQ286_spl
| ~ sQ38_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f205,f2502]) ).
fof(f14015,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ38_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f205,f2346]) ).
fof(f14016,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ38_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f205,f2345]) ).
fof(f14030,plain,
( ~ sQ68_spl
| ~ sQ38_spl
| sQ288_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f14015,f1123,f2546,f204,f305]) ).
fof(f14031,plain,
( ~ sQ68_spl
| ~ sQ38_spl
| sQ177_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f14016,f1123,f1208,f204,f305]) ).
fof(f14040,plain,
( ~ sQ71_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f316,f1056]) ).
fof(f14041,plain,
( ~ sQ71_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f316,f1055]) ).
fof(f14042,plain,
( ~ sQ71_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f316,f1054]) ).
fof(f14043,plain,
( ~ sQ410_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f316,f5705]) ).
fof(f14044,plain,
( ~ sQ257_spl
| ~ sQ71_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f316,f2181]) ).
fof(f14046,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ71_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f316,f1856]) ).
fof(f14047,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ71_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f316,f1857]) ).
fof(f14048,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ71_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f316,f1584]) ).
fof(f14049,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ71_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f316,f1585]) ).
fof(f14065,plain,
( ~ sQ410_spl
| ~ sQ71_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f14043,f254,f315,f5704]) ).
fof(f14066,plain,
( ~ sQ257_spl
| ~ sQ71_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f14044,f264,f315,f2180]) ).
fof(f14067,plain,
( ~ sQ121_spl
| ~ sQ71_spl
| sQ126_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f14046,f5522,f507,f315,f485]) ).
fof(f14068,plain,
( ~ sQ121_spl
| ~ sQ71_spl
| sQ144_spl
| sQ407_spl ),
inference(split_clause,[status(thm)],[f14047,f5522,f820,f315,f485]) ).
fof(f14069,plain,
( ~ sQ86_spl
| ~ sQ71_spl
| sQ228_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f14048,f3440,f1809,f315,f368]) ).
fof(f14070,plain,
( ~ sQ86_spl
| ~ sQ71_spl
| sQ177_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f14049,f3440,f1208,f315,f368]) ).
fof(f14081,plain,
( ~ sQ45_spl
| ~ sQ407_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f5523,f228]) ).
fof(f14082,plain,
( ~ sQ71_spl
| ~ sQ300_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f2779,f316]) ).
fof(f14083,plain,
( ~ sQ71_spl
| ~ sQ258_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f2185,f316]) ).
fof(f14084,plain,
( ~ sQ71_spl
| ~ sQ209_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1645,f316]) ).
fof(f14089,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ96_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1382,f316]) ).
fof(f14091,plain,
( ~ sQ71_spl
| ~ sQ96_spl
| sQ126_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f14089,f4341,f507,f400,f315]) ).
fof(f14098,plain,
( ~ sQ45_spl
| ~ sQ276_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f2324,f228]) ).
fof(f14099,plain,
( ~ sQ71_spl
| ~ sQ370_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f4342,f316]) ).
fof(f14100,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ66_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1080,f316]) ).
fof(f14102,plain,
( ~ sQ71_spl
| ~ sQ66_spl
| sQ130_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f14100,f1155,f643,f299,f315]) ).
fof(f14104,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ66_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1079,f316]) ).
fof(f14106,plain,
( ~ sQ71_spl
| ~ sQ66_spl
| sQ149_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f14104,f1155,f846,f299,f315]) ).
fof(f14112,plain,
( ~ sQ71_spl
| ~ sQ96_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1379,f316]) ).
fof(f14113,plain,
( ~ sQ71_spl
| ~ sQ96_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f14112,f1208,f400,f315]) ).
fof(f14114,plain,
( ~ sQ71_spl
| ~ sQ307_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f2985,f316]) ).
fof(f14115,plain,
( ~ sQ71_spl
| ~ sQ307_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f14114,f273,f2984,f315]) ).
fof(f14116,plain,
( ~ sQ159_spl
| ~ sQ99_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f1354,f387,f409,f1093]) ).
fof(f14138,plain,
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f287,f1340]) ).
fof(f14139,plain,
( ~ sQ87_spl
| ~ sQ62_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f287,f1572]) ).
fof(f14140,plain,
( ~ sQ12_spl
| ~ sQ62_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f287,f616]) ).
fof(f14141,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ62_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f287,f2099]) ).
fof(f14142,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ62_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f287,f2098]) ).
fof(f14143,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ62_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f287,f1845]) ).
fof(f14145,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ62_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f287,f1576]) ).
fof(f14146,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ62_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f287,f1575]) ).
fof(f14147,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ62_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f287,f1517]) ).
fof(f14149,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f287,f1343]) ).
fof(f14150,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ62_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f287,f1342]) ).
fof(f14151,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ62_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f287,f620]) ).
fof(f14152,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ62_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f287,f619]) ).
fof(f14153,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f287,f63]) ).
fof(f14154,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f287,f61]) ).
fof(f14155,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_3,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f287,f59]) ).
fof(f14156,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f287,f67]) ).
fof(f14157,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f287,f65]) ).
fof(f14158,plain,
( ~ sQ52_spl
| ~ sQ62_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f14138,f1043,f286,f254]) ).
fof(f14159,plain,
( ~ sQ87_spl
| ~ sQ62_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f14139,f1208,f286,f371]) ).
fof(f14160,plain,
( ~ sQ12_spl
| ~ sQ62_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f14140,f1043,f286,f116]) ).
fof(f14161,plain,
( ~ sQ107_spl
| ~ sQ62_spl
| sQ144_spl
| sQ416_spl ),
inference(split_clause,[status(thm)],[f14141,f5979,f820,f286,f440]) ).
fof(f14162,plain,
( ~ sQ107_spl
| ~ sQ62_spl
| sQ163_spl
| sQ416_spl ),
inference(split_clause,[status(thm)],[f14142,f5979,f1115,f286,f440]) ).
fof(f14163,plain,
( ~ sQ122_spl
| ~ sQ62_spl
| sQ144_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f14143,f1806,f820,f286,f488]) ).
fof(f14165,plain,
( ~ sQ87_spl
| ~ sQ62_spl
| sQ177_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f14145,f1562,f1208,f286,f371]) ).
fof(f14166,plain,
( ~ sQ87_spl
| ~ sQ62_spl
| sQ130_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f14146,f1562,f643,f286,f371]) ).
fof(f14167,plain,
( ~ sQ92_spl
| ~ sQ62_spl
| sQ177_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f14147,f3965,f1208,f286,f387]) ).
fof(f14169,plain,
( ~ sQ52_spl
| ~ sQ62_spl
| sQ130_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f14149,f1412,f643,f286,f254]) ).
fof(f14170,plain,
( ~ sQ52_spl
| ~ sQ62_spl
| sQ158_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f14150,f1412,f1043,f286,f254]) ).
fof(f14171,plain,
( ~ sQ12_spl
| ~ sQ62_spl
| sQ158_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f14151,f1240,f1043,f286,f116]) ).
fof(f14172,plain,
( ~ sQ12_spl
| ~ sQ62_spl
| sQ130_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f14152,f1240,f643,f286,f116]) ).
fof(f14173,plain,
( ~ sQ186_spl
| ~ sQ18_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f12359,f100,f135,f1319]) ).
fof(f14179,plain,
( ~ sQ38_spl
| ~ sQ449_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f11949,f169,f9341,f204]) ).
fof(f14180,plain,
( ~ sQ105_spl
| ~ sQ265_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f10305,f430,f2244,f434]) ).
fof(f14183,plain,
( ~ sQ97_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f404,f1376]) ).
fof(f14184,plain,
( ~ sQ97_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f404,f1375]) ).
fof(f14185,plain,
( ~ sQ165_spl
| ~ sQ97_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f404,f1128]) ).
fof(f14186,plain,
( ~ sQ405_spl
| ~ sQ97_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f404,f5513]) ).
fof(f14187,plain,
( ~ sQ97_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f404,f1374]) ).
fof(f14188,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ97_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f404,f572]) ).
fof(f14189,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ97_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f404,f573]) ).
fof(f14190,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ97_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f404,f933]) ).
fof(f14191,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ97_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f404,f934]) ).
fof(f14203,plain,
( ~ sQ17_spl
| ~ sQ97_spl
| sQ149_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f14188,f1671,f846,f403,f132]) ).
fof(f14204,plain,
( ~ sQ17_spl
| ~ sQ97_spl
| sQ167_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f14189,f1671,f1137,f403,f132]) ).
fof(f14205,plain,
( ~ sQ32_spl
| ~ sQ97_spl
| sQ136_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f14190,f2984,f771,f403,f185]) ).
fof(f14206,plain,
( ~ sQ32_spl
| ~ sQ97_spl
| sQ134_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f14191,f2984,f764,f403,f185]) ).
fof(f14213,plain,
( ~ sQ91_spl
| ~ sQ280_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f13808,f374,f2377,f384]) ).
fof(f14214,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f530]) ).
fof(f14215,plain,
( ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f529]) ).
fof(f14217,plain,
( ~ sQ257_spl
| ~ sQ21_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f146,f2181]) ).
fof(f14219,plain,
( ~ sQ21_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f528]) ).
fof(f14245,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f1024]) ).
fof(f14246,plain,
( ~ sQ25_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f164,f1023]) ).
fof(f14247,plain,
( ~ sQ25_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1022]) ).
fof(f14269,plain,
( ~ sQ14_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f123,f602]) ).
fof(f14270,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f123,f703]) ).
fof(f14271,plain,
( ~ sQ14_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f123,f601]) ).
fof(f14272,plain,
( ~ sQ89_spl
| ~ sQ14_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f123,f1550]) ).
fof(f14273,plain,
( ~ sQ308_spl
| ~ sQ14_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f123,f2990]) ).
fof(f14274,plain,
( ~ sQ14_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f123,f600]) ).
fof(f14275,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ14_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f123,f1554]) ).
fof(f14276,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ14_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f123,f1553]) ).
fof(f14277,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ14_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f123,f1031]) ).
fof(f14278,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ14_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f123,f1030]) ).
fof(f14279,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ14_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f123,f1279]) ).
fof(f14280,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ14_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f123,f1280]) ).
fof(f14281,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ14_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f123,f706]) ).
fof(f14282,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ14_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f123,f705]) ).
fof(f14283,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ14_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f123,f908]) ).
fof(f14284,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ14_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f123,f909]) ).
fof(f14285,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f123,f604]) ).
fof(f14286,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f123,f603]) ).
fof(f14292,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f14270,f1043,f122,f90]) ).
fof(f14293,plain,
( ~ sQ89_spl
| ~ sQ14_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f14272,f1429,f122,f377]) ).
fof(f14294,plain,
( ~ sQ89_spl
| ~ sQ14_spl
| sQ195_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f14275,f2859,f1429,f122,f377]) ).
fof(f14295,plain,
( ~ sQ89_spl
| ~ sQ14_spl
| sQ130_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f14276,f2859,f643,f122,f377]) ).
fof(f14296,plain,
( ~ sQ74_spl
| ~ sQ14_spl
| sQ220_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f14277,f4256,f1718,f122,f324]) ).
fof(f14297,plain,
( ~ sQ74_spl
| ~ sQ14_spl
| sQ144_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f14278,f4256,f820,f122,f324]) ).
fof(f14298,plain,
( ~ sQ59_spl
| ~ sQ14_spl
| sQ163_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f14279,f1303,f1115,f122,f276]) ).
fof(f14299,plain,
( ~ sQ59_spl
| ~ sQ14_spl
| sQ220_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f14280,f1303,f1718,f122,f276]) ).
fof(f14300,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| sQ138_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f14281,f2328,f786,f122,f90]) ).
fof(f14301,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| sQ158_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f14282,f2328,f1043,f122,f90]) ).
fof(f14302,plain,
( ~ sQ34_spl
| ~ sQ14_spl
| sQ163_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f14283,f2989,f1115,f122,f191]) ).
fof(f14303,plain,
( ~ sQ34_spl
| ~ sQ14_spl
| sQ199_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f14284,f2989,f1450,f122,f191]) ).
fof(f14304,plain,
( ~ sQ14_spl
| sQ138_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f14285,f640,f786,f122]) ).
fof(f14305,plain,
( ~ sQ14_spl
| sQ130_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f14286,f640,f643,f122]) ).
fof(f14306,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f14307,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f14308,plain,
( ~ sQ59_spl
| ~ sQ34_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f192,f1276]) ).
fof(f14309,plain,
( ~ sQ218_spl
| ~ sQ34_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f192,f1711]) ).
fof(f14310,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f14316,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ34_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f192,f1280]) ).
fof(f14326,plain,
( ~ sQ59_spl
| ~ sQ34_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f14308,f2546,f191,f276]) ).
fof(f14332,plain,
( ~ sQ59_spl
| ~ sQ34_spl
| sQ288_spl
| sQ437_spl ),
inference(split_clause,[status(thm)],[f14316,f7552,f2546,f191,f276]) ).
fof(f14337,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f136,f562]) ).
fof(f14338,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f136,f561]) ).
fof(f14339,plain,
( ~ sQ18_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f560]) ).
fof(f14364,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ58_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1286,f136]) ).
fof(f14365,plain,
( ~ sQ18_spl
| ~ sQ58_spl
| sQ134_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f14364,f1406,f764,f273,f135]) ).
fof(f14374,plain,
( ~ sQ7_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f101,f677]) ).
fof(f14375,plain,
( ~ sQ7_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f101,f676]) ).
fof(f14376,plain,
( ~ sQ7_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f101,f675]) ).
fof(f14377,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ7_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f101,f14157]) ).
fof(f14378,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ7_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f101,f14156]) ).
fof(f14380,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ7_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f101,f1895]) ).
fof(f14394,plain,
( ~ sQ62_spl
| ~ sQ7_spl
| sQ220_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f14377,f3212,f1718,f100,f286]) ).
fof(f14395,plain,
( ~ sQ62_spl
| ~ sQ7_spl
| sQ288_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f14378,f3212,f2546,f100,f286]) ).
fof(f14397,plain,
( ~ sQ117_spl
| ~ sQ7_spl
| sQ188_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f14380,f3219,f1394,f100,f472]) ).
fof(f14406,plain,
( ~ sQ105_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f435,f2115]) ).
fof(f14407,plain,
( ~ sQ105_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f435,f2114]) ).
fof(f14408,plain,
( ~ sQ105_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f435,f2113]) ).
fof(f14409,plain,
( ~ sQ359_spl
| ~ sQ105_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f435,f4010]) ).
fof(f14412,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ105_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f435,f1474]) ).
fof(f14413,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ105_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f435,f1473]) ).
fof(f14425,plain,
( ~ sQ95_spl
| ~ sQ105_spl
| sQ149_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f14412,f2180,f846,f434,f397]) ).
fof(f14426,plain,
( ~ sQ95_spl
| ~ sQ105_spl
| sQ154_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f14413,f2180,f1005,f434,f397]) ).
fof(f14431,plain,
( ~ sQ47_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f234,f716]) ).
fof(f14432,plain,
( ~ sQ47_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f234,f715]) ).
fof(f14433,plain,
( ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f234,f714]) ).
fof(f14435,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ47_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f234,f14157]) ).
fof(f14436,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ47_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f234,f14156]) ).
fof(f14452,plain,
( ~ sQ62_spl
| ~ sQ47_spl
| sQ288_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f14435,f1245,f2546,f233,f286]) ).
fof(f14453,plain,
( ~ sQ62_spl
| ~ sQ47_spl
| sQ228_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f14436,f1245,f1809,f233,f286]) ).
fof(f14464,plain,
( ~ sQ36_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f199,f876]) ).
fof(f14465,plain,
( ~ sQ36_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f199,f875]) ).
fof(f14466,plain,
( ~ sQ36_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f199,f874]) ).
fof(f14467,plain,
( ~ sQ448_spl
| ~ sQ36_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f199,f9035]) ).
fof(f14468,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ36_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f199,f1619]) ).
fof(f14469,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ36_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f199,f1618]) ).
fof(f14470,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ36_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f199,f2368]) ).
fof(f14471,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ36_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f199,f2367]) ).
fof(f14483,plain,
( ~ sQ81_spl
| ~ sQ36_spl
| sQ156_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f14468,f5758,f1015,f198,f352]) ).
fof(f14484,plain,
( ~ sQ81_spl
| ~ sQ36_spl
| sQ163_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f14469,f5758,f1115,f198,f352]) ).
fof(f14485,plain,
( ~ sQ91_spl
| ~ sQ36_spl
| sQ156_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f14470,f2377,f1015,f198,f384]) ).
fof(f14486,plain,
( ~ sQ91_spl
| ~ sQ36_spl
| sQ177_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f14471,f2377,f1208,f198,f384]) ).
fof(f14526,plain,
( ~ sQ77_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f340,f1727]) ).
fof(f14527,plain,
( ~ sQ77_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f340,f1726]) ).
fof(f14528,plain,
( ~ sQ77_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f340,f1725]) ).
fof(f14529,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ77_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f340,f1845]) ).
fof(f14530,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ77_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f340,f1846]) ).
fof(f14531,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ77_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f340,f2099]) ).
fof(f14532,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ77_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f340,f2098]) ).
fof(f14533,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ77_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f340,f1300]) ).
fof(f14534,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ77_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f340,f1301]) ).
fof(f14535,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ77_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f340,f14157]) ).
fof(f14536,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ77_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f340,f14156]) ).
fof(f14537,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ77_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f340,f1894]) ).
fof(f14538,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ77_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f340,f1895]) ).
fof(f14546,plain,
( ~ sQ122_spl
| ~ sQ77_spl
| sQ188_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f14529,f1932,f1394,f339,f488]) ).
fof(f14547,plain,
( ~ sQ122_spl
| ~ sQ77_spl
| sQ146_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f14530,f1932,f827,f339,f488]) ).
fof(f14548,plain,
( ~ sQ107_spl
| ~ sQ77_spl
| sQ146_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f14531,f4603,f827,f339,f440]) ).
fof(f14549,plain,
( ~ sQ107_spl
| ~ sQ77_spl
| sQ199_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f14532,f4603,f1450,f339,f440]) ).
fof(f14550,plain,
( ~ sQ57_spl
| ~ sQ77_spl
| sQ199_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f14533,f1760,f1450,f339,f270]) ).
fof(f14551,plain,
( ~ sQ57_spl
| ~ sQ77_spl
| sQ203_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f14534,f1760,f1521,f339,f270]) ).
fof(f14552,plain,
( ~ sQ62_spl
| ~ sQ77_spl
| sQ203_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f14535,f5968,f1521,f339,f286]) ).
fof(f14553,plain,
( ~ sQ62_spl
| ~ sQ77_spl
| sQ220_spl
| sQ415_spl ),
inference(split_clause,[status(thm)],[f14536,f5968,f1718,f339,f286]) ).
fof(f14554,plain,
( ~ sQ117_spl
| ~ sQ77_spl
| sQ195_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f14537,f1928,f1429,f339,f472]) ).
fof(f14555,plain,
( ~ sQ117_spl
| ~ sQ77_spl
| sQ146_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f14538,f1928,f827,f339,f472]) ).
fof(f14558,plain,
( ~ sQ13_spl
| ~ sQ222_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f6800,f81,f1750,f119]) ).
fof(f14559,plain,
( ~ sQ101_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f422,f2146]) ).
fof(f14560,plain,
( ~ sQ101_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f422,f2145]) ).
fof(f14561,plain,
( ~ sQ101_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f422,f2144]) ).
fof(f14571,plain,
( ~ sQ101_spl
| ~ sQ340_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f3625,f422]) ).
fof(f14576,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ41_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f745,f422]) ).
fof(f14577,plain,
( ~ sQ101_spl
| ~ sQ41_spl
| sQ136_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f14576,f4190,f771,f214,f421]) ).
fof(f14578,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ41_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f744,f422]) ).
fof(f14579,plain,
( ~ sQ101_spl
| ~ sQ41_spl
| sQ195_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f14578,f4190,f1429,f214,f421]) ).
fof(f14582,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ71_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1057,f422]) ).
fof(f14583,plain,
( ~ sQ101_spl
| ~ sQ71_spl
| sQ188_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f14582,f2210,f1394,f315,f421]) ).
fof(f14590,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ82_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1612,f340]) ).
fof(f14591,plain,
( ~ sQ77_spl
| ~ sQ82_spl
| sQ128_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f14590,f3809,f553,f355,f339]) ).
fof(f14596,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ11_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f628,f422]) ).
fof(f14597,plain,
( ~ sQ101_spl
| ~ sQ11_spl
| sQ169_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f14596,f4684,f1144,f113,f421]) ).
fof(f14598,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ11_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f627,f422]) ).
fof(f14599,plain,
( ~ sQ101_spl
| ~ sQ11_spl
| sQ220_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f14598,f4684,f1718,f113,f421]) ).
fof(f14620,plain,
( ~ sQ77_spl
| ~ sQ82_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1609,f340]) ).
fof(f14621,plain,
( ~ sQ77_spl
| ~ sQ82_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f14620,f1450,f355,f339]) ).
fof(f14626,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ81_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1618,f422]) ).
fof(f14627,plain,
( ~ sQ101_spl
| ~ sQ81_spl
| sQ199_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f14626,f3892,f1450,f352,f421]) ).
fof(f14628,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ81_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1619,f422]) ).
fof(f14629,plain,
( ~ sQ101_spl
| ~ sQ81_spl
| sQ149_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f14628,f3892,f846,f352,f421]) ).
fof(f14630,plain,
( ~ sQ77_spl
| ~ sQ52_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1339,f340]) ).
fof(f14631,plain,
( ~ sQ77_spl
| ~ sQ52_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f14630,f1521,f254,f339]) ).
fof(f14632,plain,
( ~ sQ98_spl
| ~ sQ443_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f12845,f365,f8487,f406]) ).
fof(f14633,plain,
! [X0] :
( ~ sQ447_spl
| ~ product(X0,e_1,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f8982]) ).
fof(f14638,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ1_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2292,f422]) ).
fof(f14639,plain,
( ~ sQ101_spl
| ~ sQ1_spl
| sQ138_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f14638,f3655,f786,f81,f421]) ).
fof(f14654,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ116_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1907,f422]) ).
fof(f14655,plain,
( ~ sQ101_spl
| ~ sQ116_spl
| sQ195_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f14654,f7499,f1429,f469,f421]) ).
fof(f14656,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ116_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1908,f422]) ).
fof(f14657,plain,
( ~ sQ101_spl
| ~ sQ116_spl
| sQ126_spl
| sQ436_spl ),
inference(split_clause,[status(thm)],[f14656,f7499,f507,f469,f421]) ).
fof(f14658,plain,
( ~ sQ77_spl
| ~ sQ426_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f340,f7427]) ).
fof(f14659,plain,
( ~ sQ77_spl
| ~ sQ426_spl ),
inference(contradiction_clause,[status(thm)],[f14658]) ).
fof(f14660,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ6_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f689,f422]) ).
fof(f14661,plain,
( ~ sQ101_spl
| ~ sQ6_spl
| sQ169_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f14660,f3236,f1144,f97,f421]) ).
fof(f14662,plain,
( ~ sQ22_spl
| ~ sQ368_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f11513,f122,f4256,f148]) ).
fof(f14663,plain,
( ~ sQ401_spl
| ~ sQ115_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f11225,f427,f466,f5326]) ).
fof(f14664,plain,
( ~ sQ259_spl
| ~ sQ46_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f3304,f185,f230,f2189]) ).
fof(f14665,plain,
( ~ sQ74_spl
| ~ sQ153_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1086,f273,f1002,f324]) ).
fof(f14666,plain,
( ~ sQ231_spl
| ~ sQ120_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f9582,f427,f482,f1824]) ).
fof(f14667,plain,
( ~ sQ98_spl
| ~ sQ326_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f12245,f377,f3340,f406]) ).
fof(f14668,plain,
( ~ sQ98_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f407,f1369]) ).
fof(f14669,plain,
( ~ sQ98_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f407,f1368]) ).
fof(f14670,plain,
( ~ sQ98_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f407,f1367]) ).
fof(f14680,plain,
( ~ sQ98_spl
| ~ sQ217_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f1706,f407]) ).
fof(f14681,plain,
( ~ sQ98_spl
| ~ sQ217_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f14680,f336,f1705,f406]) ).
fof(f14687,plain,
( ~ sQ98_spl
| ~ sQ326_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f3341,f407]) ).
fof(f14689,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ108_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2093,f407]) ).
fof(f14690,plain,
( ~ sQ98_spl
| ~ sQ108_spl
| sQ146_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f14689,f2180,f827,f443,f406]) ).
fof(f14696,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ103_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2137,f407]) ).
fof(f14697,plain,
( ~ sQ98_spl
| ~ sQ103_spl
| sQ169_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f14696,f2176,f1144,f427,f406]) ).
fof(f14698,plain,
( ~ sQ106_spl
| ~ sQ274_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f13616,f430,f2300,f437]) ).
fof(f14699,plain,
( ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f95,f697]) ).
fof(f14700,plain,
( ~ sQ5_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f95,f696]) ).
fof(f14701,plain,
( ~ sQ5_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f95,f695]) ).
fof(f14703,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ5_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f95,f1474]) ).
fof(f14704,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ5_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f95,f1473]) ).
fof(f14714,plain,
( ~ sQ95_spl
| ~ sQ5_spl
| sQ195_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f14703,f2778,f1429,f94,f397]) ).
fof(f14715,plain,
( ~ sQ95_spl
| ~ sQ5_spl
| sQ154_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f14704,f2778,f1005,f94,f397]) ).
fof(f14728,plain,
( ~ sQ32_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f186,f932]) ).
fof(f14729,plain,
( ~ sQ32_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f186,f931]) ).
fof(f14730,plain,
( ~ sQ224_spl
| ~ sQ32_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f186,f1761]) ).
fof(f14731,plain,
( ~ sQ32_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f186,f930]) ).
fof(f14741,plain,
( ~ sQ74_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f325,f1029]) ).
fof(f14742,plain,
( ~ sQ74_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f325,f1028]) ).
fof(f14743,plain,
( ~ sQ24_spl
| ~ sQ74_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f325,f498]) ).
fof(f14744,plain,
( ~ sQ74_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f325,f1027]) ).
fof(f14745,plain,
( ~ sQ283_spl
| ~ sQ74_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f325,f2462]) ).
fof(f14746,plain,
( ~ sQ245_spl
| ~ sQ74_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f325,f2005]) ).
fof(f14747,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ74_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f325,f1923]) ).
fof(f14748,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ74_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f325,f1922]) ).
fof(f14749,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ74_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f325,f1488]) ).
fof(f14750,plain,
! [X0] :
( ~ sQ94_spl
| ~ sQ74_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f325,f1487]) ).
fof(f14751,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ74_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f325,f501]) ).
fof(f14752,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ74_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f325,f502]) ).
fof(f14753,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ74_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f325,f968]) ).
fof(f14754,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ74_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f325,f969]) ).
fof(f14755,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f325,f1031]) ).
fof(f14756,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f325,f1030]) ).
fof(f14762,plain,
( ~ sQ24_spl
| ~ sQ74_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f14743,f1043,f324,f154]) ).
fof(f14763,plain,
( ~ sQ114_spl
| ~ sQ74_spl
| sQ144_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f14747,f7662,f820,f324,f462]) ).
fof(f14764,plain,
( ~ sQ114_spl
| ~ sQ74_spl
| sQ228_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f14748,f7662,f1809,f324,f462]) ).
fof(f14765,plain,
( ~ sQ94_spl
| ~ sQ74_spl
| sQ177_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f14749,f5108,f1208,f324,f393]) ).
fof(f14766,plain,
( ~ sQ94_spl
| ~ sQ74_spl
| sQ149_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f14750,f5108,f846,f324,f393]) ).
fof(f14767,plain,
( ~ sQ24_spl
| ~ sQ74_spl
| sQ126_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f14751,f1097,f507,f324,f154]) ).
fof(f14768,plain,
( ~ sQ24_spl
| ~ sQ74_spl
| sQ158_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f14752,f1097,f1043,f324,f154]) ).
fof(f14769,plain,
( ~ sQ29_spl
| ~ sQ74_spl
| sQ169_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f14753,f1141,f1144,f324,f175]) ).
fof(f14770,plain,
( ~ sQ29_spl
| ~ sQ74_spl
| sQ163_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f14754,f1141,f1115,f324,f175]) ).
fof(f14771,plain,
( ~ sQ74_spl
| sQ130_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f14755,f1159,f643,f324]) ).
fof(f14772,plain,
( ~ sQ74_spl
| sQ126_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f14756,f1159,f507,f324]) ).
fof(f14773,plain,
( ~ sQ373_spl
| ~ sQ11_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f11467,f87,f113,f4441]) ).
fof(f14774,plain,
( ~ sQ197_spl
| ~ sQ123_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f1835,f424,f491,f1442]) ).
fof(f14781,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ75_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1781,f95]) ).
fof(f14782,plain,
( ~ sQ5_spl
| ~ sQ75_spl
| sQ140_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f14781,f1710,f799,f333,f94]) ).
fof(f14787,plain,
( ~ sQ67_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f303,f1073]) ).
fof(f14788,plain,
( ~ sQ57_spl
| ~ sQ67_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f303,f1298]) ).
fof(f14789,plain,
( ~ sQ67_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f303,f1072]) ).
fof(f14790,plain,
( ~ sQ92_spl
| ~ sQ67_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f303,f1513]) ).
fof(f14791,plain,
( ~ sQ17_spl
| ~ sQ67_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f303,f569]) ).
fof(f14792,plain,
( ~ sQ166_spl
| ~ sQ67_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f303,f1135]) ).
fof(f14793,plain,
( ~ sQ301_spl
| ~ sQ67_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f303,f2855]) ).
fof(f14794,plain,
( ~ sQ67_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f303,f1071]) ).
fof(f14795,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ67_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f303,f1576]) ).
fof(f14796,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ67_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f303,f1575]) ).
fof(f14797,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ67_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f303,f1517]) ).
fof(f14798,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ67_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f303,f1516]) ).
fof(f14799,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ67_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f303,f1300]) ).
fof(f14800,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ67_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f303,f1301]) ).
fof(f14801,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ67_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f303,f988]) ).
fof(f14802,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ67_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f303,f987]) ).
fof(f14803,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ67_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f303,f620]) ).
fof(f14804,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ67_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f303,f619]) ).
fof(f14805,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ67_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f303,f572]) ).
fof(f14806,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ67_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f303,f573]) ).
fof(f14807,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f303,f1074]) ).
fof(f14808,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f303,f1075]) ).
fof(f14814,plain,
( ~ sQ57_spl
| ~ sQ67_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f14788,f764,f302,f270]) ).
fof(f14815,plain,
( ~ sQ92_spl
| ~ sQ67_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f14790,f1208,f302,f387]) ).
fof(f14816,plain,
( ~ sQ17_spl
| ~ sQ67_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f14791,f1043,f302,f132]) ).
fof(f14817,plain,
( ~ sQ87_spl
| ~ sQ67_spl
| sQ177_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f14795,f10097,f1208,f302,f371]) ).
fof(f14818,plain,
( ~ sQ87_spl
| ~ sQ67_spl
| sQ203_spl
| sQ454_spl ),
inference(split_clause,[status(thm)],[f14796,f10097,f1521,f302,f371]) ).
fof(f14819,plain,
( ~ sQ92_spl
| ~ sQ67_spl
| sQ177_spl
| sQ445_spl ),
inference(split_clause,[status(thm)],[f14797,f8590,f1208,f302,f387]) ).
fof(f14820,plain,
( ~ sQ92_spl
| ~ sQ67_spl
| sQ128_spl
| sQ445_spl ),
inference(split_clause,[status(thm)],[f14798,f8590,f553,f302,f387]) ).
fof(f14821,plain,
( ~ sQ57_spl
| ~ sQ67_spl
| sQ134_spl
| sQ466_spl ),
inference(split_clause,[status(thm)],[f14799,f11956,f764,f302,f270]) ).
fof(f14822,plain,
( ~ sQ57_spl
| ~ sQ67_spl
| sQ130_spl
| sQ466_spl ),
inference(split_clause,[status(thm)],[f14800,f11956,f643,f302,f270]) ).
fof(f14823,plain,
( ~ sQ27_spl
| ~ sQ67_spl
| sQ163_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f14801,f1134,f1115,f302,f169]) ).
fof(f14824,plain,
( ~ sQ27_spl
| ~ sQ67_spl
| sQ167_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f14802,f1134,f1137,f302,f169]) ).
fof(f14825,plain,
( ~ sQ12_spl
| ~ sQ67_spl
| sQ158_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f14803,f2854,f1043,f302,f116]) ).
fof(f14826,plain,
( ~ sQ12_spl
| ~ sQ67_spl
| sQ203_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f14804,f2854,f1521,f302,f116]) ).
fof(f14827,plain,
( ~ sQ17_spl
| ~ sQ67_spl
| sQ128_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f14805,f2713,f553,f302,f132]) ).
fof(f14828,plain,
( ~ sQ17_spl
| ~ sQ67_spl
| sQ158_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f14806,f2713,f1043,f302,f132]) ).
fof(f14829,plain,
( ~ sQ67_spl
| sQ128_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f14807,f1165,f553,f302]) ).
fof(f14830,plain,
( ~ sQ67_spl
| sQ130_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f14808,f1165,f643,f302]) ).
fof(f14831,plain,
( ~ sQ67_spl
| ~ sQ420_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f6335,f303]) ).
fof(f14836,plain,
( ~ sQ67_spl
| ~ sQ194_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f1427,f303]) ).
fof(f14837,plain,
( ~ sQ67_spl
| ~ sQ194_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f14836,f254,f1426,f302]) ).
fof(f14838,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ82_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1611,f303]) ).
fof(f14839,plain,
( ~ sQ67_spl
| ~ sQ82_spl
| sQ134_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f14838,f6334,f764,f355,f302]) ).
fof(f14840,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ82_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1612,f303]) ).
fof(f14841,plain,
( ~ sQ67_spl
| ~ sQ82_spl
| sQ177_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f14840,f6334,f1208,f355,f302]) ).
fof(f14842,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ47_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f718,f303]) ).
fof(f14843,plain,
( ~ sQ67_spl
| ~ sQ47_spl
| sQ163_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f14842,f7235,f1115,f233,f302]) ).
fof(f14844,plain,
( ~ sQ98_spl
| ~ sQ380_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f12188,f345,f4556,f406]) ).
fof(f14851,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ120_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1865,f95]) ).
fof(f14852,plain,
( ~ sQ5_spl
| ~ sQ120_spl
| sQ188_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f14851,f3231,f1394,f482,f94]) ).
fof(f14853,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f1024]) ).
fof(f14854,plain,
( ~ sQ25_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f164,f1023]) ).
fof(f14855,plain,
( ~ sQ25_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1022]) ).
fof(f14877,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f136,f562]) ).
fof(f14878,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f136,f561]) ).
fof(f14879,plain,
( ~ sQ18_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f560]) ).
fof(f14905,plain,
( ~ sQ82_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f356,f1610]) ).
fof(f14906,plain,
( ~ sQ82_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f356,f1609]) ).
fof(f14907,plain,
( ~ sQ32_spl
| ~ sQ82_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f356,f930]) ).
fof(f14908,plain,
( ~ sQ82_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f356,f1608]) ).
fof(f14915,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ82_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f356,f933]) ).
fof(f14916,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ82_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f356,f934]) ).
fof(f14917,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ82_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f356,f524]) ).
fof(f14918,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ82_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f356,f525]) ).
fof(f14926,plain,
( ~ sQ32_spl
| ~ sQ82_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f14907,f764,f355,f185]) ).
fof(f14933,plain,
( ~ sQ32_spl
| ~ sQ82_spl
| sQ132_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f14915,f3560,f657,f355,f185]) ).
fof(f14934,plain,
( ~ sQ32_spl
| ~ sQ82_spl
| sQ134_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f14916,f3560,f764,f355,f185]) ).
fof(f14935,plain,
( ~ sQ22_spl
| ~ sQ82_spl
| sQ154_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f14917,f1657,f1005,f355,f148]) ).
fof(f14936,plain,
( ~ sQ22_spl
| ~ sQ82_spl
| sQ167_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f14918,f1657,f1137,f355,f148]) ).
fof(f14939,plain,
( ~ sQ85_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f366,f1593]) ).
fof(f14940,plain,
( ~ sQ85_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f366,f1592]) ).
fof(f14941,plain,
( ~ sQ85_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f366,f1591]) ).
fof(f14942,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ85_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f366,f1865]) ).
fof(f14943,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ85_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f366,f1864]) ).
fof(f14955,plain,
( ~ sQ120_spl
| ~ sQ85_spl
| sQ146_spl
| sQ455_spl ),
inference(split_clause,[status(thm)],[f14942,f10108,f827,f365,f482]) ).
fof(f14956,plain,
( ~ sQ120_spl
| ~ sQ85_spl
| sQ144_spl
| sQ455_spl ),
inference(split_clause,[status(thm)],[f14943,f10108,f820,f365,f482]) ).
fof(f14963,plain,
( ~ sQ5_spl
| ~ sQ399_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f5250,f95]) ).
fof(f14964,plain,
( ~ sQ85_spl
| ~ sQ249_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f2064,f366]) ).
fof(f14965,plain,
( ~ sQ85_spl
| ~ sQ393_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f4939,f366]) ).
fof(f14970,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ110_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2061,f366]) ).
fof(f14973,plain,
( ~ sQ85_spl
| ~ sQ110_spl
| sQ130_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f14970,f2040,f643,f450,f365]) ).
fof(f14982,plain,
( ~ sQ85_spl
| ~ sQ247_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f2041,f366]) ).
fof(f14983,plain,
( ~ sQ85_spl
| ~ sQ110_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f2058,f366]) ).
fof(f14984,plain,
( ~ sQ85_spl
| ~ sQ110_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f14983,f827,f450,f365]) ).
fof(f15001,plain,
( ~ sQ34_spl
| ~ sQ44_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f224,f906]) ).
fof(f15002,plain,
( ~ sQ329_spl
| ~ sQ44_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f224,f3399]) ).
fof(f15003,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ44_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f224,f1031]) ).
fof(f15004,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ44_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f224,f1030]) ).
fof(f15005,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ44_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f224,f1333]) ).
fof(f15006,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ44_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f224,f1332]) ).
fof(f15007,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ44_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f224,f908]) ).
fof(f15008,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ44_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f224,f909]) ).
fof(f15009,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ44_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f224,f1631]) ).
fof(f15010,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ44_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f224,f1630]) ).
fof(f15011,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f224,f63]) ).
fof(f15012,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f224,f61]) ).
fof(f15013,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f224,f59]) ).
fof(f15014,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f224,f67]) ).
fof(f15015,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f224,f65]) ).
fof(f15016,plain,
( ~ sQ34_spl
| ~ sQ44_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f15001,f764,f223,f191]) ).
fof(f15017,plain,
( ~ sQ74_spl
| ~ sQ44_spl
| sQ288_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f15003,f1110,f2546,f223,f324]) ).
fof(f15018,plain,
( ~ sQ74_spl
| ~ sQ44_spl
| sQ146_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f15004,f1110,f827,f223,f324]) ).
fof(f15019,plain,
( ~ sQ54_spl
| ~ sQ44_spl
| sQ288_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f15005,f2543,f2546,f223,f260]) ).
fof(f15020,plain,
( ~ sQ54_spl
| ~ sQ44_spl
| sQ167_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f15006,f2543,f1137,f223,f260]) ).
fof(f15021,definition,
! [X0] :
( sQ470_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ470_spl])],[split_symbol_definition]) ).
fof(f15022,plain,
! [X0] :
( ~ sQ470_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f15021]) ).
fof(f15024,plain,
( ~ sQ34_spl
| ~ sQ44_spl
| sQ134_spl
| sQ470_spl ),
inference(split_clause,[status(thm)],[f15007,f15021,f764,f223,f191]) ).
fof(f15025,plain,
( ~ sQ34_spl
| ~ sQ44_spl
| sQ132_spl
| sQ470_spl ),
inference(split_clause,[status(thm)],[f15008,f15021,f657,f223,f191]) ).
fof(f15026,plain,
( ~ sQ79_spl
| ~ sQ44_spl
| sQ156_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f15009,f1783,f1015,f223,f345]) ).
fof(f15027,plain,
( ~ sQ79_spl
| ~ sQ44_spl
| sQ167_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f15010,f1783,f1137,f223,f345]) ).
fof(f15028,plain,
( ~ sQ11_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f114,f626]) ).
fof(f15029,plain,
( ~ sQ16_spl
| ~ sQ11_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f114,f579]) ).
fof(f15030,plain,
( ~ sQ11_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f114,f625]) ).
fof(f15031,plain,
( ~ sQ11_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f114,f624]) ).
fof(f15033,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ11_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f114,f581]) ).
fof(f15036,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ11_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f114,f1383]) ).
fof(f15037,plain,
! [X0] :
( ~ sQ96_spl
| ~ sQ11_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f114,f1382]) ).
fof(f15038,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ11_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f114,f1619]) ).
fof(f15039,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ11_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f114,f1618]) ).
fof(f15049,plain,
( ~ sQ16_spl
| ~ sQ11_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f15029,f1208,f113,f129]) ).
fof(f15051,plain,
( ~ sQ16_spl
| ~ sQ11_spl
| sQ177_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f15033,f3398,f1208,f113,f129]) ).
fof(f15054,plain,
( ~ sQ96_spl
| ~ sQ11_spl
| sQ195_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f15036,f2194,f1429,f113,f400]) ).
fof(f15055,plain,
( ~ sQ96_spl
| ~ sQ11_spl
| sQ144_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f15037,f2194,f820,f113,f400]) ).
fof(f15056,plain,
( ~ sQ81_spl
| ~ sQ11_spl
| sQ195_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f15038,f4674,f1429,f113,f352]) ).
fof(f15057,plain,
( ~ sQ81_spl
| ~ sQ11_spl
| sQ163_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f15039,f4674,f1115,f113,f352]) ).
fof(f15062,plain,
( ~ sQ181_spl
| ~ sQ92_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1507,f371,f387,f1262]) ).
fof(f15063,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ41_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f745,f114]) ).
fof(f15064,plain,
( ~ sQ11_spl
| ~ sQ41_spl
| sQ199_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f15063,f3097,f1450,f214,f113]) ).
fof(f15065,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ41_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f744,f114]) ).
fof(f15066,plain,
( ~ sQ11_spl
| ~ sQ41_spl
| sQ177_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f15065,f3097,f1208,f214,f113]) ).
fof(f15067,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ71_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1058,f114]) ).
fof(f15068,plain,
( ~ sQ11_spl
| ~ sQ71_spl
| sQ220_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f15067,f4256,f1718,f315,f113]) ).
fof(f15069,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ71_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1057,f114]) ).
fof(f15070,plain,
( ~ sQ11_spl
| ~ sQ71_spl
| sQ144_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f15069,f4256,f820,f315,f113]) ).
fof(f15075,plain,
( ~ sQ5_spl
| ~ sQ399_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f5250,f95]) ).
fof(f15084,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ121_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1856,f114]) ).
fof(f15085,plain,
( ~ sQ11_spl
| ~ sQ121_spl
| sQ144_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f15084,f4679,f820,f485,f113]) ).
fof(f15086,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ121_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1857,f114]) ).
fof(f15087,plain,
( ~ sQ11_spl
| ~ sQ121_spl
| sQ188_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f15086,f4679,f1394,f485,f113]) ).
fof(f15088,plain,
( ~ sQ11_spl
| ~ sQ1_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2290,f114]) ).
fof(f15089,plain,
( ~ sQ11_spl
| ~ sQ1_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f15088,f1043,f81,f113]) ).
fof(f15102,plain,
( ~ sQ79_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f346,f1629]) ).
fof(f15103,plain,
( ~ sQ79_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f346,f1628]) ).
fof(f15104,plain,
( ~ sQ79_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f346,f1627]) ).
fof(f15105,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ79_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f346,f706]) ).
fof(f15106,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ79_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f346,f705]) ).
fof(f15116,plain,
( ~ sQ4_spl
| ~ sQ79_spl
| sQ167_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f15105,f2254,f1137,f345,f90]) ).
fof(f15117,plain,
( ~ sQ4_spl
| ~ sQ79_spl
| sQ138_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f15106,f2254,f786,f345,f90]) ).
fof(f15122,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f15123,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f15124,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f15143,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f755]) ).
fof(f15144,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f754]) ).
fof(f15145,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f753]) ).
fof(f15163,plain,
( ~ sQ57_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f271,f1299]) ).
fof(f15164,plain,
( ~ sQ57_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f271,f1298]) ).
fof(f15165,plain,
( ~ sQ440_spl
| ~ sQ57_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f271,f8047]) ).
fof(f15166,plain,
( ~ sQ107_spl
| ~ sQ57_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f271,f2095]) ).
fof(f15167,plain,
( ~ sQ57_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f271,f1297]) ).
fof(f15168,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ57_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f271,f572]) ).
fof(f15169,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ57_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f271,f573]) ).
fof(f15172,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ57_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f271,f1845]) ).
fof(f15173,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ57_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f271,f1846]) ).
fof(f15174,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ57_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f271,f1517]) ).
fof(f15175,plain,
! [X0] :
( ~ sQ92_spl
| ~ sQ57_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f271,f1516]) ).
fof(f15176,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ57_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f271,f1576]) ).
fof(f15177,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ57_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f271,f1575]) ).
fof(f15178,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ57_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f271,f2099]) ).
fof(f15179,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ57_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f271,f2098]) ).
fof(f15187,plain,
( ~ sQ440_spl
| ~ sQ57_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f15165,f254,f270,f8046]) ).
fof(f15188,plain,
( ~ sQ107_spl
| ~ sQ57_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f15166,f820,f270,f440]) ).
fof(f15189,plain,
( ~ sQ17_spl
| ~ sQ57_spl
| sQ156_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f15168,f1406,f1015,f270,f132]) ).
fof(f15190,plain,
( ~ sQ17_spl
| ~ sQ57_spl
| sQ158_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f15169,f1406,f1043,f270,f132]) ).
fof(f15193,plain,
( ~ sQ122_spl
| ~ sQ57_spl
| sQ154_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f15172,f1819,f1005,f270,f488]) ).
fof(f15194,plain,
( ~ sQ122_spl
| ~ sQ57_spl
| sQ144_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f15173,f1819,f820,f270,f488]) ).
fof(f15195,plain,
( ~ sQ92_spl
| ~ sQ57_spl
| sQ177_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f15174,f1539,f1208,f270,f387]) ).
fof(f15196,plain,
( ~ sQ92_spl
| ~ sQ57_spl
| sQ156_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f15175,f1539,f1015,f270,f387]) ).
fof(f15197,plain,
( ~ sQ87_spl
| ~ sQ57_spl
| sQ177_spl
| sQ468_spl ),
inference(split_clause,[status(thm)],[f15176,f13459,f1208,f270,f371]) ).
fof(f15198,plain,
( ~ sQ87_spl
| ~ sQ57_spl
| sQ288_spl
| sQ468_spl ),
inference(split_clause,[status(thm)],[f15177,f13459,f2546,f270,f371]) ).
fof(f15199,plain,
( ~ sQ107_spl
| ~ sQ57_spl
| sQ144_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f15178,f4004,f820,f270,f440]) ).
fof(f15200,plain,
( ~ sQ107_spl
| ~ sQ57_spl
| sQ132_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f15179,f4004,f657,f270,f440]) ).
fof(f15219,plain,
( ~ sQ87_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f372,f1574]) ).
fof(f15220,plain,
( ~ sQ87_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f372,f1573]) ).
fof(f15221,plain,
( ~ sQ415_spl
| ~ sQ87_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f372,f5969]) ).
fof(f15222,plain,
( ~ sQ87_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f372,f1572]) ).
fof(f15223,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ87_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f372,f933]) ).
fof(f15224,plain,
! [X0] :
( ~ sQ32_spl
| ~ sQ87_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f372,f934]) ).
fof(f15225,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ87_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f372,f572]) ).
fof(f15226,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ87_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f372,f573]) ).
fof(f15227,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ87_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f372,f1343]) ).
fof(f15228,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ87_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f372,f1342]) ).
fof(f15236,plain,
( ~ sQ415_spl
| ~ sQ87_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f15221,f336,f371,f5968]) ).
fof(f15237,plain,
( ~ sQ32_spl
| ~ sQ87_spl
| sQ163_spl
| sQ448_spl ),
inference(split_clause,[status(thm)],[f15223,f9034,f1115,f371,f185]) ).
fof(f15238,plain,
( ~ sQ32_spl
| ~ sQ87_spl
| sQ134_spl
| sQ448_spl ),
inference(split_clause,[status(thm)],[f15224,f9034,f764,f371,f185]) ).
fof(f15239,plain,
( ~ sQ17_spl
| ~ sQ87_spl
| sQ177_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f15225,f4089,f1208,f371,f132]) ).
fof(f15240,plain,
( ~ sQ17_spl
| ~ sQ87_spl
| sQ167_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f15226,f4089,f1137,f371,f132]) ).
fof(f15241,plain,
( ~ sQ52_spl
| ~ sQ87_spl
| sQ203_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f15227,f10775,f1521,f371,f254]) ).
fof(f15242,plain,
( ~ sQ52_spl
| ~ sQ87_spl
| sQ158_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f15228,f10775,f1043,f371,f254]) ).
fof(f15245,plain,
( ~ sQ17_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f133,f571]) ).
fof(f15246,plain,
( ~ sQ17_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f133,f570]) ).
fof(f15247,plain,
( ~ sQ17_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f133,f569]) ).
fof(f15248,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f133,f572]) ).
fof(f15249,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f133,f573]) ).
fof(f15250,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ17_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f133,f1576]) ).
fof(f15251,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ17_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f133,f1575]) ).
fof(f15257,plain,
( ~ sQ17_spl
| sQ128_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f15248,f550,f553,f132]) ).
fof(f15258,plain,
( ~ sQ17_spl
| sQ138_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f15249,f550,f786,f132]) ).
fof(f15259,plain,
( ~ sQ87_spl
| ~ sQ17_spl
| sQ195_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f15250,f4089,f1429,f132,f371]) ).
fof(f15260,plain,
( ~ sQ87_spl
| ~ sQ17_spl
| sQ203_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f15251,f4089,f1521,f132,f371]) ).
fof(f15261,plain,
( ~ sQ17_spl
| ~ sQ166_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f1135,f133]) ).
fof(f15262,plain,
( ~ sQ17_spl
| ~ sQ166_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f15261,f87,f1134,f132]) ).
fof(f15267,plain,
( ~ sQ87_spl
| ~ sQ416_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f5980,f372]) ).
fof(f15268,plain,
( ~ sQ17_spl
| ~ sQ164_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1124,f133]) ).
fof(f15269,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ57_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1301,f133]) ).
fof(f15270,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ57_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1301,f372]) ).
fof(f15271,plain,
( ~ sQ17_spl
| ~ sQ57_spl
| sQ220_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f15269,f1406,f1718,f270,f132]) ).
fof(f15272,plain,
( ~ sQ87_spl
| ~ sQ57_spl
| sQ203_spl
| sQ468_spl ),
inference(split_clause,[status(thm)],[f15270,f13459,f1521,f270,f371]) ).
fof(f15273,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ57_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1300,f133]) ).
fof(f15274,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ57_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1300,f372]) ).
fof(f15275,plain,
( ~ sQ17_spl
| ~ sQ57_spl
| sQ134_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f15273,f1406,f764,f270,f132]) ).
fof(f15276,plain,
( ~ sQ87_spl
| ~ sQ57_spl
| sQ163_spl
| sQ468_spl ),
inference(split_clause,[status(thm)],[f15274,f13459,f1115,f270,f371]) ).
fof(f15277,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ102_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2143,f133]) ).
fof(f15278,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ102_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2143,f372]) ).
fof(f15279,plain,
( ~ sQ17_spl
| ~ sQ102_spl
| sQ188_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f15277,f2158,f1394,f424,f132]) ).
fof(f15280,plain,
( ~ sQ87_spl
| ~ sQ102_spl
| sQ146_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f15278,f9831,f827,f424,f371]) ).
fof(f15281,plain,
( ~ sQ25_spl
| ~ sQ341_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f3656,f164]) ).
fof(f15298,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f15299,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f15300,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f15301,plain,
( ~ sQ218_spl
| ~ sQ34_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f192,f1711]) ).
fof(f15325,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f755]) ).
fof(f15326,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f754]) ).
fof(f15327,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f753]) ).
fof(f15352,plain,
( ~ sQ10_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f111,f634]) ).
fof(f15353,plain,
( ~ sQ10_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f111,f633]) ).
fof(f15354,plain,
( ~ sQ10_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f111,f632]) ).
fof(f15355,plain,
( ~ sQ444_spl
| ~ sQ10_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f111,f8560]) ).
fof(f15381,plain,
( ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f218,f738]) ).
fof(f15382,plain,
( ~ sQ42_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f737]) ).
fof(f15383,plain,
( ~ sQ42_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f218,f736]) ).
fof(f15386,plain,
( ~ sQ391_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f218,f4806]) ).
fof(f15387,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ42_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f218,f14157]) ).
fof(f15388,plain,
! [X0] :
( ~ sQ62_spl
| ~ sQ42_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f218,f14156]) ).
fof(f15402,plain,
( ~ sQ62_spl
| ~ sQ42_spl
| sQ288_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f15387,f3519,f2546,f217,f286]) ).
fof(f15403,plain,
( ~ sQ62_spl
| ~ sQ42_spl
| sQ203_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f15388,f3519,f1521,f217,f286]) ).
fof(f15412,plain,
( ~ sQ77_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f340,f1727]) ).
fof(f15413,plain,
( ~ sQ77_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f340,f1726]) ).
fof(f15414,plain,
( ~ sQ77_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f340,f1725]) ).
fof(f15419,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ77_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f340,f679]) ).
fof(f15420,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ77_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f340,f678]) ).
fof(f15423,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ77_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f340,f740]) ).
fof(f15424,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ77_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f340,f739]) ).
fof(f15434,plain,
( ~ sQ7_spl
| ~ sQ77_spl
| sQ167_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f15419,f1710,f1137,f339,f100]) ).
fof(f15435,plain,
( ~ sQ7_spl
| ~ sQ77_spl
| sQ199_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f15420,f1710,f1450,f339,f100]) ).
fof(f15438,plain,
( ~ sQ42_spl
| ~ sQ77_spl
| sQ134_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f15423,f1783,f764,f339,f217]) ).
fof(f15439,plain,
( ~ sQ42_spl
| ~ sQ77_spl
| sQ195_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f15424,f1783,f1429,f339,f217]) ).
fof(f15440,plain,
( ~ sQ7_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f101,f677]) ).
fof(f15441,plain,
( ~ sQ7_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f101,f676]) ).
fof(f15442,plain,
( ~ sQ7_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f101,f675]) ).
fof(f15446,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ7_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f101,f1053]) ).
fof(f15451,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ7_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f101,f740]) ).
fof(f15452,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ7_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f101,f739]) ).
fof(f15461,plain,
( ~ sQ72_spl
| ~ sQ7_spl
| sQ220_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f15446,f1039,f1718,f100,f318]) ).
fof(f15466,plain,
( ~ sQ42_spl
| ~ sQ7_spl
| sQ199_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f15451,f761,f1450,f100,f217]) ).
fof(f15467,plain,
( ~ sQ42_spl
| ~ sQ7_spl
| sQ156_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f15452,f761,f1015,f100,f217]) ).
fof(f15468,plain,
( ~ sQ105_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f435,f2115]) ).
fof(f15469,plain,
( ~ sQ105_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f435,f2114]) ).
fof(f15470,plain,
( ~ sQ105_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f435,f2113]) ).
fof(f15471,plain,
( ~ sQ359_spl
| ~ sQ105_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f435,f4010]) ).
fof(f15497,plain,
( ~ sQ101_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f422,f2146]) ).
fof(f15498,plain,
( ~ sQ121_spl
| ~ sQ101_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f422,f1854]) ).
fof(f15499,plain,
( ~ sQ101_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f422,f2145]) ).
fof(f15500,plain,
( ~ sQ1_spl
| ~ sQ101_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f422,f2289]) ).
fof(f15501,plain,
( ~ sQ101_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f422,f2144]) ).
fof(f15503,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ101_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f422,f1856]) ).
fof(f15508,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ101_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f422,f2368]) ).
fof(f15509,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ101_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f422,f2367]) ).
fof(f15510,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ101_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f422,f2293]) ).
fof(f15519,plain,
( ~ sQ121_spl
| ~ sQ101_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f15498,f1394,f421,f485]) ).
fof(f15520,plain,
( ~ sQ1_spl
| ~ sQ101_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f15500,f1144,f421,f81]) ).
fof(f15522,plain,
( ~ sQ121_spl
| ~ sQ101_spl
| sQ188_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f15503,f5254,f1394,f421,f485]) ).
fof(f15527,plain,
( ~ sQ91_spl
| ~ sQ101_spl
| sQ149_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f15508,f3665,f846,f421,f384]) ).
fof(f15528,plain,
( ~ sQ91_spl
| ~ sQ101_spl
| sQ195_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f15509,f3665,f1429,f421,f384]) ).
fof(f15529,plain,
( ~ sQ1_spl
| ~ sQ101_spl
| sQ169_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f15510,f3655,f1144,f421,f81]) ).
fof(f15533,plain,
( ~ sQ10_spl
| ~ sQ337_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f3592,f111]) ).
fof(f15583,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ61_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1230,f422]) ).
fof(f15584,plain,
( ~ sQ101_spl
| ~ sQ61_spl
| sQ220_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f15583,f3670,f1718,f283,f421]) ).
fof(f15585,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ61_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f1231,f422]) ).
fof(f15586,plain,
( ~ sQ101_spl
| ~ sQ61_spl
| sQ228_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f15585,f3670,f1809,f283,f421]) ).
fof(f15595,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ3_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2166,f205]) ).
fof(f15596,plain,
( ~ sQ38_spl
| ~ sQ3_spl
| sQ158_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f15595,f2274,f1043,f87,f204]) ).
fof(f15597,plain,
( ~ sQ72_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f319,f1051]) ).
fof(f15598,plain,
( ~ sQ67_spl
| ~ sQ72_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f319,f1072]) ).
fof(f15599,plain,
( ~ sQ72_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f319,f1050]) ).
fof(f15600,plain,
( ~ sQ72_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f319,f1049]) ).
fof(f15601,plain,
( ~ sQ349_spl
| ~ sQ72_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f319,f3817]) ).
fof(f15602,plain,
( ~ sQ157_spl
| ~ sQ72_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f319,f1040]) ).
fof(f15603,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ72_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f319,f2021]) ).
fof(f15604,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ72_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f319,f2022]) ).
fof(f15605,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ72_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f319,f1074]) ).
fof(f15606,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ72_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f319,f1075]) ).
fof(f15609,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ72_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f319,f679]) ).
fof(f15610,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ72_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f319,f678]) ).
fof(f15611,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ72_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f319,f1728]) ).
fof(f15612,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ72_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f319,f1729]) ).
fof(f15618,plain,
( ~ sQ67_spl
| ~ sQ72_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f15598,f846,f318,f302]) ).
fof(f15619,plain,
( ~ sQ112_spl
| ~ sQ72_spl
| sQ228_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f15603,f7662,f1809,f318,f456]) ).
fof(f15620,plain,
( ~ sQ112_spl
| ~ sQ72_spl
| sQ144_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f15604,f7662,f820,f318,f456]) ).
fof(f15621,plain,
( ~ sQ67_spl
| ~ sQ72_spl
| sQ149_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f15605,f1155,f846,f318,f302]) ).
fof(f15622,plain,
( ~ sQ67_spl
| ~ sQ72_spl
| sQ130_spl
| sQ170_spl ),
inference(split_clause,[status(thm)],[f15606,f1155,f643,f318,f302]) ).
fof(f15625,plain,
( ~ sQ7_spl
| ~ sQ72_spl
| sQ158_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f15609,f1039,f1043,f318,f100]) ).
fof(f15626,plain,
( ~ sQ7_spl
| ~ sQ72_spl
| sQ136_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f15610,f1039,f771,f318,f100]) ).
fof(f15627,plain,
( ~ sQ77_spl
| ~ sQ72_spl
| sQ169_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f15611,f3816,f1144,f318,f339]) ).
fof(f15628,plain,
( ~ sQ77_spl
| ~ sQ72_spl
| sQ177_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f15612,f3816,f1208,f318,f339]) ).
fof(f15629,plain,
( ~ sQ19_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f139,f546]) ).
fof(f15630,plain,
( ~ sQ19_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f139,f545]) ).
fof(f15631,plain,
( ~ sQ19_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f139,f544]) ).
fof(f15632,plain,
( ~ sQ189_spl
| ~ sQ19_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f139,f1403]) ).
fof(f15633,plain,
( ~ sQ155_spl
| ~ sQ19_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f139,f1013]) ).
fof(f15635,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ19_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f139,f502]) ).
fof(f15648,plain,
( ~ sQ24_spl
| ~ sQ19_spl
| sQ138_spl
| sQ434_spl ),
inference(split_clause,[status(thm)],[f15635,f7436,f786,f138,f154]) ).
fof(f15655,plain,
( ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f274,f1285]) ).
fof(f15656,plain,
( ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f274,f1284]) ).
fof(f15657,plain,
( ~ sQ58_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f274,f1283]) ).
fof(f15659,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ58_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f274,f2166]) ).
fof(f15671,plain,
( ~ sQ3_spl
| ~ sQ58_spl
| sQ140_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f15659,f2249,f799,f273,f87]) ).
fof(f15678,plain,
( ~ sQ81_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f353,f1617]) ).
fof(f15679,plain,
( ~ sQ81_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f353,f1616]) ).
fof(f15680,plain,
( ~ sQ81_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f353,f1615]) ).
fof(f15681,plain,
( ~ sQ351_spl
| ~ sQ81_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f353,f3893]) ).
fof(f15688,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ81_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f353,f2148]) ).
fof(f15689,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ81_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f353,f2147]) ).
fof(f15701,plain,
( ~ sQ101_spl
| ~ sQ81_spl
| sQ146_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f15688,f3892,f827,f352,f421]) ).
fof(f15702,plain,
( ~ sQ101_spl
| ~ sQ81_spl
| sQ140_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f15689,f3892,f799,f352,f421]) ).
fof(f15703,plain,
( ~ sQ54_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f261,f1331]) ).
fof(f15704,plain,
( ~ sQ54_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f261,f1330]) ).
fof(f15705,plain,
( ~ sQ54_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f261,f1329]) ).
fof(f15706,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ54_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f261,f501]) ).
fof(f15707,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ54_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f261,f502]) ).
fof(f15710,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ54_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f261,f547]) ).
fof(f15711,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ54_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f261,f548]) ).
fof(f15719,plain,
( ~ sQ24_spl
| ~ sQ54_spl
| sQ188_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f15706,f1391,f1394,f260,f154]) ).
fof(f15720,plain,
( ~ sQ24_spl
| ~ sQ54_spl
| sQ158_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f15707,f1391,f1043,f260,f154]) ).
fof(f15723,plain,
( ~ sQ19_spl
| ~ sQ54_spl
| sQ195_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f15710,f1402,f1429,f260,f138]) ).
fof(f15724,plain,
( ~ sQ19_spl
| ~ sQ54_spl
| sQ158_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f15711,f1402,f1043,f260,f138]) ).
fof(f15727,plain,
( ~ sQ38_spl
| ~ sQ271_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f2275,f205]) ).
fof(f15728,plain,
( ~ sQ10_spl
| ~ sQ444_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f8560,f111]) ).
fof(f15729,plain,
( ~ sQ7_spl
| ~ sQ266_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f2250,f101]) ).
fof(f15730,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ3_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2167,f274]) ).
fof(f15731,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ3_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2167,f205]) ).
fof(f15732,plain,
( ~ sQ58_spl
| ~ sQ3_spl
| sQ158_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f15730,f2249,f1043,f87,f273]) ).
fof(f15733,plain,
( ~ sQ38_spl
| ~ sQ3_spl
| sQ140_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f15731,f2274,f799,f87,f204]) ).
fof(f15743,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ86_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1585,f353]) ).
fof(f15745,plain,
( ~ sQ81_spl
| ~ sQ86_spl
| sQ128_spl
| sQ469_spl ),
inference(split_clause,[status(thm)],[f15743,f13491,f553,f368,f352]) ).
fof(f15750,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ70_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1063,f435]) ).
fof(f15753,plain,
( ~ sQ105_spl
| ~ sQ70_spl
| sQ228_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f15750,f2214,f1809,f312,f434]) ).
fof(f15756,plain,
( ~ sQ263_spl
| ~ sQ122_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f13705,f434,f488,f2214]) ).
fof(f15759,plain,
! [X0] :
( ~ sQ105_spl
| ~ sQ70_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1062,f435]) ).
fof(f15762,plain,
( ~ sQ105_spl
| ~ sQ70_spl
| sQ154_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f15759,f2214,f1005,f312,f434]) ).
fof(f15765,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ47_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f717,f340]) ).
fof(f15767,plain,
( ~ sQ77_spl
| ~ sQ47_spl
| sQ188_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f15765,f1705,f1394,f233,f339]) ).
fof(f15778,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ116_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1907,f353]) ).
fof(f15780,plain,
( ~ sQ81_spl
| ~ sQ116_spl
| sQ156_spl
| sQ461_spl ),
inference(split_clause,[status(thm)],[f15778,f10835,f1015,f469,f352]) ).
fof(f15781,plain,
( ~ sQ90_spl
| ~ sQ461_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f10883,f352,f10835,f381]) ).
fof(f15782,plain,
( ~ sQ10_spl
| ~ sQ444_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f8560,f111]) ).
fof(f15783,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ89_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1553,f261]) ).
fof(f15784,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ89_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1553,f139]) ).
fof(f15786,plain,
( ~ sQ54_spl
| ~ sQ89_spl
| sQ220_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f15783,f10775,f1718,f377,f260]) ).
fof(f15787,plain,
( ~ sQ19_spl
| ~ sQ89_spl
| sQ203_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f15784,f4089,f1521,f377,f138]) ).
fof(f15790,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ89_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1554,f261]) ).
fof(f15791,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ89_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1554,f139]) ).
fof(f15793,plain,
( ~ sQ54_spl
| ~ sQ89_spl
| sQ177_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f15790,f10775,f1208,f377,f260]) ).
fof(f15794,plain,
( ~ sQ19_spl
| ~ sQ89_spl
| sQ195_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f15791,f4089,f1429,f377,f138]) ).
fof(f15796,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ96_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1382,f422]) ).
fof(f15798,plain,
( ~ sQ101_spl
| ~ sQ96_spl
| sQ188_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f15796,f2176,f1394,f400,f421]) ).
fof(f15801,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ96_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1383,f353]) ).
fof(f15803,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| sQ128_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f15801,f1644,f553,f400,f352]) ).
fof(f15804,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ23_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f515,f274]) ).
fof(f15806,plain,
( ~ sQ58_spl
| ~ sQ23_spl
| sQ154_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f15804,f4499,f1005,f151,f273]) ).
fof(f15808,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ23_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f516,f274]) ).
fof(f15810,plain,
( ~ sQ58_spl
| ~ sQ23_spl
| sQ158_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f15808,f4499,f1043,f151,f273]) ).
fof(f15812,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ124_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1804,f261]) ).
fof(f15813,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ124_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1804,f139]) ).
fof(f15815,plain,
( ~ sQ54_spl
| ~ sQ124_spl
| sQ188_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f15812,f1814,f1394,f494,f260]) ).
fof(f15816,plain,
( ~ sQ19_spl
| ~ sQ124_spl
| sQ146_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f15813,f2718,f827,f494,f138]) ).
fof(f15818,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ124_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1805,f261]) ).
fof(f15819,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ124_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1805,f139]) ).
fof(f15821,plain,
( ~ sQ54_spl
| ~ sQ124_spl
| sQ144_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f15818,f1814,f820,f494,f260]) ).
fof(f15822,plain,
( ~ sQ19_spl
| ~ sQ124_spl
| sQ188_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f15819,f2718,f1394,f494,f138]) ).
fof(f15824,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ118_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1883,f274]) ).
fof(f15826,plain,
( ~ sQ58_spl
| ~ sQ118_spl
| sQ156_spl
| sQ441_spl ),
inference(split_clause,[status(thm)],[f15824,f8053,f1015,f475,f273]) ).
fof(f15828,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ118_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1884,f274]) ).
fof(f15830,plain,
( ~ sQ58_spl
| ~ sQ118_spl
| sQ144_spl
| sQ441_spl ),
inference(split_clause,[status(thm)],[f15828,f8053,f820,f475,f273]) ).
fof(f15832,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ114_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1922,f261]) ).
fof(f15833,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ114_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1922,f139]) ).
fof(f15835,plain,
( ~ sQ54_spl
| ~ sQ114_spl
| sQ220_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f15832,f2078,f1718,f462,f260]) ).
fof(f15836,plain,
( ~ sQ19_spl
| ~ sQ114_spl
| sQ203_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f15833,f2068,f1521,f462,f138]) ).
fof(f15839,plain,
( ~ sQ10_spl
| ~ sQ249_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f2064,f111]) ).
fof(f15848,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1380,f353]) ).
fof(f15849,plain,
( ~ sQ81_spl
| ~ sQ96_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f15848,f1005,f400,f352]) ).
fof(f15886,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ123_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1841,f274]) ).
fof(f15887,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ123_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1841,f205]) ).
fof(f15888,plain,
( ~ sQ58_spl
| ~ sQ123_spl
| sQ144_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f15886,f1819,f820,f491,f273]) ).
fof(f15889,plain,
( ~ sQ38_spl
| ~ sQ123_spl
| sQ154_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f15887,f2333,f1005,f491,f204]) ).
fof(f15890,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ123_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1840,f274]) ).
fof(f15892,plain,
( ~ sQ58_spl
| ~ sQ123_spl
| sQ154_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f15890,f1819,f1005,f491,f273]) ).
fof(f15894,plain,
( ~ sQ81_spl
| ~ sQ86_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1582,f353]) ).
fof(f15895,plain,
( ~ sQ81_spl
| ~ sQ86_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f15894,f2546,f368,f352]) ).
fof(f15908,plain,
( ~ sQ19_spl
| ~ sQ363_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f4090,f139]) ).
fof(f15909,plain,
( ~ sQ19_spl
| ~ sQ24_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f499,f139]) ).
fof(f15910,plain,
( ~ sQ19_spl
| ~ sQ24_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f15909,f827,f154,f138]) ).
fof(f15923,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f215,f5782]) ).
fof(f15924,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f215,f742]) ).
fof(f15925,plain,
( ~ sQ41_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f215,f741]) ).
fof(f15947,plain,
( ~ sQ67_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f303,f1073]) ).
fof(f15948,plain,
( ~ sQ67_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f303,f1072]) ).
fof(f15949,plain,
( ~ sQ67_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f303,f1071]) ).
fof(f15950,plain,
( ~ sQ318_spl
| ~ sQ67_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f303,f3225]) ).
fof(f15951,plain,
( ~ sQ372_spl
| ~ sQ67_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f303,f4398]) ).
fof(f15952,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ67_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f303,f2021]) ).
fof(f15953,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ67_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f303,f2022]) ).
fof(f15956,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ67_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f303,f679]) ).
fof(f15957,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ67_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f303,f678]) ).
fof(f15958,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ67_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f303,f1728]) ).
fof(f15959,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ67_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f303,f1729]) ).
fof(f15965,plain,
( ~ sQ112_spl
| ~ sQ67_spl
| sQ203_spl
| sQ465_spl ),
inference(split_clause,[status(thm)],[f15952,f11923,f1521,f302,f456]) ).
fof(f15966,plain,
( ~ sQ112_spl
| ~ sQ67_spl
| sQ144_spl
| sQ465_spl ),
inference(split_clause,[status(thm)],[f15953,f11923,f820,f302,f456]) ).
fof(f15969,plain,
( ~ sQ7_spl
| ~ sQ67_spl
| sQ158_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f15956,f3224,f1043,f302,f100]) ).
fof(f15970,plain,
( ~ sQ7_spl
| ~ sQ67_spl
| sQ134_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f15957,f3224,f764,f302,f100]) ).
fof(f15971,plain,
( ~ sQ77_spl
| ~ sQ67_spl
| sQ167_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f15958,f4397,f1137,f302,f339]) ).
fof(f15972,plain,
( ~ sQ77_spl
| ~ sQ67_spl
| sQ177_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f15959,f4397,f1208,f302,f339]) ).
fof(f15973,plain,
( ~ sQ61_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f284,f5958]) ).
fof(f15974,plain,
( ~ sQ61_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f284,f5957]) ).
fof(f15975,plain,
( ~ sQ459_spl
| ~ sQ61_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f284,f10776]) ).
fof(f15976,plain,
( ~ sQ448_spl
| ~ sQ61_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f284,f9035]) ).
fof(f15977,plain,
( ~ sQ61_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f284,f5956]) ).
fof(f15982,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ61_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f284,f1619]) ).
fof(f15983,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ61_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f284,f1618]) ).
fof(f15991,plain,
( ~ sQ448_spl
| ~ sQ61_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f15976,f273,f283,f9034]) ).
fof(f15996,plain,
( ~ sQ81_spl
| ~ sQ61_spl
| sQ177_spl
| sQ467_spl ),
inference(split_clause,[status(thm)],[f15982,f13286,f1208,f283,f352]) ).
fof(f15997,plain,
( ~ sQ81_spl
| ~ sQ61_spl
| sQ163_spl
| sQ467_spl ),
inference(split_clause,[status(thm)],[f15983,f13286,f1115,f283,f352]) ).
fof(f16000,plain,
( ~ sQ3_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f88,f2165]) ).
fof(f16001,plain,
( ~ sQ3_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f88,f2164]) ).
fof(f16002,plain,
( ~ sQ3_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f88,f2163]) ).
fof(f16003,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f88,f2167]) ).
fof(f16005,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ3_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f88,f1286]) ).
fof(f16006,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ3_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f88,f1287]) ).
fof(f16007,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ3_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f88,f757]) ).
fof(f16008,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ3_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f88,f756]) ).
fof(f16014,plain,
( ~ sQ3_spl
| sQ138_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f16003,f783,f786,f87]) ).
fof(f16016,plain,
( ~ sQ58_spl
| ~ sQ3_spl
| sQ199_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f16005,f2249,f1450,f87,f273]) ).
fof(f16017,plain,
( ~ sQ58_spl
| ~ sQ3_spl
| sQ220_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f16006,f2249,f1718,f87,f273]) ).
fof(f16018,plain,
( ~ sQ38_spl
| ~ sQ3_spl
| sQ199_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f16007,f2274,f1450,f87,f204]) ).
fof(f16019,plain,
( ~ sQ38_spl
| ~ sQ3_spl
| sQ220_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f16008,f2274,f1718,f87,f204]) ).
fof(f16020,plain,
( ~ sQ67_spl
| ~ sQ465_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f11924,f303]) ).
fof(f16028,plain,
! [X0] :
( ~ sQ3_spl
| ~ sQ23_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f516,f88]) ).
fof(f16031,plain,
( ~ sQ3_spl
| ~ sQ23_spl
| sQ138_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f16028,f2259,f786,f151,f87]) ).
fof(f16034,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ71_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1058,f353]) ).
fof(f16037,plain,
( ~ sQ81_spl
| ~ sQ71_spl
| sQ203_spl
| sQ463_spl ),
inference(split_clause,[status(thm)],[f16034,f11648,f1521,f315,f352]) ).
fof(f16040,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ71_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1057,f353]) ).
fof(f16043,plain,
( ~ sQ81_spl
| ~ sQ71_spl
| sQ154_spl
| sQ463_spl ),
inference(split_clause,[status(thm)],[f16040,f11648,f1005,f315,f352]) ).
fof(f16046,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ116_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1908,f353]) ).
fof(f16047,plain,
! [X0] :
( ~ sQ41_spl
| ~ sQ116_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1908,f215]) ).
fof(f16049,plain,
( ~ sQ81_spl
| ~ sQ116_spl
| sQ146_spl
| sQ461_spl ),
inference(split_clause,[status(thm)],[f16046,f10835,f827,f469,f352]) ).
fof(f16050,plain,
( ~ sQ41_spl
| ~ sQ116_spl
| sQ154_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f16047,f7768,f1005,f469,f214]) ).
fof(f16069,plain,
! [X0] :
( ~ sQ67_spl
| ~ sQ62_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f14156,f303]) ).
fof(f16072,plain,
( ~ sQ67_spl
| ~ sQ62_spl
| sQ203_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f16069,f1262,f1521,f286,f302]) ).
fof(f16075,plain,
( ~ sQ67_spl
| ~ sQ181_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f1263,f303]) ).
fof(f16076,plain,
( ~ sQ67_spl
| ~ sQ181_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f16075,f286,f1262,f302]) ).
fof(f16101,plain,
( ~ sQ3_spl
| ~ sQ23_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f513,f88]) ).
fof(f16102,plain,
( ~ sQ3_spl
| ~ sQ23_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f16101,f1394,f151,f87]) ).
fof(f16103,plain,
( ~ sQ19_spl
| ~ sQ363_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f15908,f113,f4089,f138]) ).
fof(f16105,plain,
( ~ sQ231_spl
| ~ sQ20_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f2646,f87,f142,f1824]) ).
fof(f16106,plain,
( ~ sQ42_spl
| ~ sQ435_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f12843,f163,f7486,f217]) ).
fof(f16110,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ11_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f628,f353]) ).
fof(f16112,plain,
( ~ sQ81_spl
| ~ sQ11_spl
| sQ167_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f16110,f4674,f1137,f113,f352]) ).
fof(f16113,plain,
( ~ sQ369_spl
| ~ sQ97_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f4323,f393,f403,f4286]) ).
fof(f16115,plain,
( ~ sQ39_spl
| ~ sQ383_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f5745,f182,f4674,f207]) ).
fof(f16116,plain,
( ~ sQ91_spl
| ~ sQ356_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f13858,f371,f3965,f384]) ).
fof(f16117,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ18_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f563,f274]) ).
fof(f16118,plain,
( ~ sQ58_spl
| ~ sQ18_spl
| sQ156_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f16117,f1406,f1015,f135,f273]) ).
fof(f16119,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ18_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f564,f274]) ).
fof(f16120,plain,
( ~ sQ58_spl
| ~ sQ18_spl
| sQ158_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f16119,f1406,f1043,f135,f273]) ).
fof(f16121,plain,
( ~ sQ58_spl
| ~ sQ397_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f5189,f274]) ).
fof(f16122,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ108_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2092,f274]) ).
fof(f16123,plain,
( ~ sQ58_spl
| ~ sQ108_spl
| sQ132_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f16122,f4004,f657,f443,f273]) ).
fof(f16126,plain,
( ~ sQ10_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f111,f634]) ).
fof(f16127,plain,
( ~ sQ10_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f111,f633]) ).
fof(f16128,plain,
( ~ sQ10_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f111,f632]) ).
fof(f16129,plain,
( ~ sQ251_spl
| ~ sQ10_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f111,f2074]) ).
fof(f16130,plain,
( ~ sQ393_spl
| ~ sQ10_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f111,f4939]) ).
fof(f16156,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ103_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2138,f274]) ).
fof(f16157,plain,
( ~ sQ58_spl
| ~ sQ103_spl
| sQ144_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f16156,f10278,f820,f427,f273]) ).
fof(f16158,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ103_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2137,f274]) ).
fof(f16159,plain,
( ~ sQ58_spl
| ~ sQ103_spl
| sQ140_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f16158,f10278,f799,f427,f273]) ).
fof(f16172,plain,
( ~ sQ58_spl
| ~ sQ108_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2089,f274]) ).
fof(f16173,plain,
( ~ sQ58_spl
| ~ sQ108_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f16172,f820,f443,f273]) ).
fof(f16174,plain,
( ~ sQ25_spl
| ~ sQ286_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f164,f14014]) ).
fof(f16175,plain,
( ~ sQ25_spl
| ~ sQ286_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f16174]) ).
fof(f16176,plain,
( ~ sQ58_spl
| ~ sQ225_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f1766,f274]) ).
fof(f16177,plain,
( ~ sQ58_spl
| ~ sQ198_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f1448,f274]) ).
fof(f16186,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f136,f562]) ).
fof(f16187,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f136,f561]) ).
fof(f16190,plain,
( ~ sQ18_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f560]) ).
fof(f16195,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ18_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f136,f2137]) ).
fof(f16196,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ18_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f136,f2138]) ).
fof(f16212,plain,
( ~ sQ103_spl
| ~ sQ18_spl
| sQ167_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f16195,f2158,f1137,f135,f427]) ).
fof(f16213,plain,
( ~ sQ103_spl
| ~ sQ18_spl
| sQ188_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f16196,f2158,f1394,f135,f427]) ).
fof(f16220,plain,
( ~ sQ7_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f101,f677]) ).
fof(f16221,plain,
( ~ sQ7_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f101,f676]) ).
fof(f16222,plain,
( ~ sQ457_spl
| ~ sQ7_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f101,f10279]) ).
fof(f16223,plain,
( ~ sQ7_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f101,f675]) ).
fof(f16237,plain,
( ~ sQ457_spl
| ~ sQ7_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f16222,f78,f100,f10278]) ).
fof(f16246,plain,
( ~ sQ18_spl
| ~ sQ248_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f2046,f136]) ).
fof(f16251,plain,
( ~ sQ18_spl
| ~ sQ335_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f3520,f136]) ).
fof(f16261,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f16262,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f16263,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f16289,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f755]) ).
fof(f16290,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f754]) ).
fof(f16291,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f753]) ).
fof(f16319,plain,
( ~ sQ103_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f428,f2136]) ).
fof(f16320,plain,
( ~ sQ103_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f428,f2135]) ).
fof(f16321,plain,
( ~ sQ103_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f428,f2134]) ).
fof(f16322,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ103_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f428,f1371]) ).
fof(f16323,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ103_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f428,f1370]) ).
fof(f16326,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ103_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f428,f757]) ).
fof(f16327,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ103_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f428,f756]) ).
fof(f16328,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ103_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f428,f564]) ).
fof(f16329,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ103_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f428,f563]) ).
fof(f16330,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ103_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f428,f1286]) ).
fof(f16331,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ103_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f428,f1287]) ).
fof(f16337,plain,
( ~ sQ98_spl
| ~ sQ103_spl
| sQ149_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f16322,f2176,f846,f427,f406]) ).
fof(f16338,plain,
( ~ sQ98_spl
| ~ sQ103_spl
| sQ188_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f16323,f2176,f1394,f427,f406]) ).
fof(f16341,plain,
( ~ sQ38_spl
| ~ sQ103_spl
| sQ136_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f16326,f2501,f771,f427,f204]) ).
fof(f16342,plain,
( ~ sQ38_spl
| ~ sQ103_spl
| sQ220_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f16327,f2501,f1718,f427,f204]) ).
fof(f16343,plain,
( ~ sQ18_spl
| ~ sQ103_spl
| sQ169_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f16328,f2158,f1144,f427,f135]) ).
fof(f16344,plain,
( ~ sQ18_spl
| ~ sQ103_spl
| sQ195_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f16329,f2158,f1429,f427,f135]) ).
fof(f16345,plain,
( ~ sQ58_spl
| ~ sQ103_spl
| sQ199_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f16330,f10278,f1450,f427,f273]) ).
fof(f16346,plain,
( ~ sQ58_spl
| ~ sQ103_spl
| sQ228_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f16331,f10278,f1809,f427,f273]) ).
fof(f16347,plain,
( ~ sQ106_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f438,f2105]) ).
fof(f16348,plain,
( ~ sQ106_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f438,f2104]) ).
fof(f16349,plain,
( ~ sQ460_spl
| ~ sQ106_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f438,f10781]) ).
fof(f16350,plain,
( ~ sQ106_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f438,f2103]) ).
fof(f16372,plain,
( ~ sQ80_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f350,f1623]) ).
fof(f16373,plain,
( ~ sQ80_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f350,f1622]) ).
fof(f16374,plain,
( ~ sQ80_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f350,f1621]) ).
fof(f16375,plain,
( ~ sQ359_spl
| ~ sQ80_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f350,f4010]) ).
fof(f16376,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ80_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f350,f540]) ).
fof(f16378,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ80_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f350,f1865]) ).
fof(f16379,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ80_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f350,f1864]) ).
fof(f16380,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ80_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f350,f1353]) ).
fof(f16381,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ80_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f350,f1352]) ).
fof(f16382,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f350,f1624]) ).
fof(f16383,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f350,f1625]) ).
fof(f16389,plain,
( ~ sQ20_spl
| ~ sQ80_spl
| sQ154_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f16376,f1657,f1005,f349,f142]) ).
fof(f16391,plain,
( ~ sQ120_spl
| ~ sQ80_spl
| sQ146_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f16378,f6345,f827,f349,f482]) ).
fof(f16392,plain,
( ~ sQ120_spl
| ~ sQ80_spl
| sQ154_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f16379,f6345,f1005,f349,f482]) ).
fof(f16393,plain,
( ~ sQ50_spl
| ~ sQ80_spl
| sQ203_spl
| sQ460_spl ),
inference(split_clause,[status(thm)],[f16380,f10780,f1521,f349,f248]) ).
fof(f16394,plain,
( ~ sQ50_spl
| ~ sQ80_spl
| sQ140_spl
| sQ460_spl ),
inference(split_clause,[status(thm)],[f16381,f10780,f799,f349,f248]) ).
fof(f16395,plain,
( ~ sQ80_spl
| sQ132_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f16382,f1689,f657,f349]) ).
fof(f16396,plain,
( ~ sQ80_spl
| sQ128_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f16383,f1689,f553,f349]) ).
fof(f16397,plain,
( ~ sQ19_spl
| ~ sQ282_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f10017,f87,f2425,f138]) ).
fof(f16398,plain,
( ~ sQ98_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f407,f1369]) ).
fof(f16399,plain,
( ~ sQ98_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f407,f1368]) ).
fof(f16400,plain,
( ~ sQ98_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f407,f1367]) ).
fof(f16411,plain,
( ~ sQ98_spl
| ~ sQ365_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f4154,f407]) ).
fof(f16412,plain,
( ~ sQ98_spl
| ~ sQ428_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f7160,f407]) ).
fof(f16413,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ108_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2092,f407]) ).
fof(f16414,plain,
( ~ sQ98_spl
| ~ sQ108_spl
| sQ136_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f16413,f2180,f771,f443,f406]) ).
fof(f16415,plain,
( ~ sQ98_spl
| ~ sQ398_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f5200,f407]) ).
fof(f16416,plain,
( ~ sQ98_spl
| ~ sQ324_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f3331,f407]) ).
fof(f16419,plain,
( ~ sQ89_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f378,f1552]) ).
fof(f16420,plain,
( ~ sQ89_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f378,f1551]) ).
fof(f16421,plain,
( ~ sQ292_spl
| ~ sQ89_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f378,f2597]) ).
fof(f16422,plain,
( ~ sQ89_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f378,f1550]) ).
fof(f16423,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f378,f2132]) ).
fof(f16424,plain,
! [X0] :
( ~ sQ104_spl
| ~ sQ89_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f378,f2133]) ).
fof(f16425,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ89_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f378,f547]) ).
fof(f16426,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ89_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f378,f548]) ).
fof(f16427,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f378,f1554]) ).
fof(f16428,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f378,f1553]) ).
fof(f16434,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| sQ158_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f16423,f9831,f1043,f377,f430]) ).
fof(f16435,plain,
( ~ sQ104_spl
| ~ sQ89_spl
| sQ146_spl
| sQ452_spl ),
inference(split_clause,[status(thm)],[f16424,f9831,f827,f377,f430]) ).
fof(f16436,plain,
( ~ sQ19_spl
| ~ sQ89_spl
| sQ177_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f16425,f4089,f1208,f377,f138]) ).
fof(f16437,plain,
( ~ sQ19_spl
| ~ sQ89_spl
| sQ167_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f16426,f4089,f1137,f377,f138]) ).
fof(f16438,plain,
( ~ sQ89_spl
| sQ128_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f16427,f1683,f553,f377]) ).
fof(f16439,plain,
( ~ sQ89_spl
| sQ130_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f16428,f1683,f643,f377]) ).
fof(f16440,plain,
( ~ sQ296_spl
| ~ sQ49_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f240,f2682]) ).
fof(f16441,plain,
( ~ sQ245_spl
| ~ sQ49_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f240,f2005]) ).
fof(f16442,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ49_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f240,f547]) ).
fof(f16443,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ49_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f240,f548]) ).
fof(f16444,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ49_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f240,f1554]) ).
fof(f16445,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ49_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f240,f1553]) ).
fof(f16446,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f240,f63]) ).
fof(f16447,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f240,f61]) ).
fof(f16448,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f240,f59]) ).
fof(f16449,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f240,f67]) ).
fof(f16450,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f240,f65]) ).
fof(f16451,plain,
( ~ sQ296_spl
| ~ sQ49_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f16440,f214,f239,f2681]) ).
fof(f16452,plain,
( ~ sQ19_spl
| ~ sQ49_spl
| sQ149_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f16442,f4094,f846,f239,f138]) ).
fof(f16453,plain,
( ~ sQ19_spl
| ~ sQ49_spl
| sQ140_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f16443,f4094,f799,f239,f138]) ).
fof(f16454,plain,
( ~ sQ89_spl
| ~ sQ49_spl
| sQ156_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f16444,f3345,f1015,f239,f377]) ).
fof(f16455,plain,
( ~ sQ89_spl
| ~ sQ49_spl
| sQ228_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f16445,f3345,f1809,f239,f377]) ).
fof(f16456,plain,
( ~ sQ10_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f111,f634]) ).
fof(f16457,plain,
( ~ sQ10_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f111,f633]) ).
fof(f16458,plain,
( ~ sQ10_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f111,f632]) ).
fof(f16462,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ10_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f111,f2061]) ).
fof(f16477,plain,
( ~ sQ110_spl
| ~ sQ10_spl
| sQ130_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f16462,f2618,f643,f110,f450]) ).
fof(f16485,plain,
( ~ sQ89_spl
| ~ sQ219_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f1716,f378]) ).
fof(f16486,plain,
( ~ sQ89_spl
| ~ sQ308_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f2990,f378]) ).
fof(f16487,plain,
( ~ sQ49_spl
| ~ sQ283_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f2462,f240]) ).
fof(f16488,plain,
( ~ sQ49_spl
| ~ sQ283_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f16487,f179,f2461,f239]) ).
fof(f16489,plain,
( ~ sQ98_spl
| ~ sQ364_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f4095,f407]) ).
fof(f16490,plain,
( ~ sQ98_spl
| ~ sQ327_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f3346,f407]) ).
fof(f16491,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ3_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2166,f407]) ).
fof(f16492,plain,
( ~ sQ98_spl
| ~ sQ3_spl
| sQ169_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f16491,f5694,f1144,f87,f406]) ).
fof(f16493,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ3_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f2167,f407]) ).
fof(f16494,plain,
( ~ sQ98_spl
| ~ sQ3_spl
| sQ167_spl
| sQ408_spl ),
inference(split_clause,[status(thm)],[f16493,f5694,f1137,f87,f406]) ).
fof(f16495,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ39_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f5729,f240]) ).
fof(f16496,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ39_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f5729,f378]) ).
fof(f16497,plain,
( ~ sQ49_spl
| ~ sQ39_spl
| sQ228_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f16495,f817,f1809,f207,f239]) ).
fof(f16498,plain,
( ~ sQ89_spl
| ~ sQ39_spl
| sQ130_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f16496,f3760,f643,f207,f377]) ).
fof(f16499,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ39_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f5730,f240]) ).
fof(f16501,plain,
( ~ sQ49_spl
| ~ sQ39_spl
| sQ132_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f16499,f817,f657,f207,f239]) ).
fof(f16504,plain,
( ~ sQ98_spl
| ~ sQ143_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f818,f407]) ).
fof(f16505,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ68_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2345,f407]) ).
fof(f16506,plain,
( ~ sQ98_spl
| ~ sQ68_spl
| sQ149_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f16505,f1422,f846,f305,f406]) ).
fof(f16507,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ68_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2346,f407]) ).
fof(f16508,plain,
( ~ sQ98_spl
| ~ sQ68_spl
| sQ203_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f16507,f1422,f1521,f305,f406]) ).
fof(f16509,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ103_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2138,f407]) ).
fof(f16510,plain,
( ~ sQ98_spl
| ~ sQ103_spl
| sQ146_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f16509,f2176,f827,f427,f406]) ).
fof(f16513,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f16449,f240]) ).
fof(f16514,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ49_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f16449,f378]) ).
fof(f16515,plain,
( ~ sQ49_spl
| sQ126_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f16513,f831,f507,f239]) ).
fof(f16516,plain,
( ~ sQ89_spl
| ~ sQ49_spl
| sQ144_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f16514,f3345,f820,f239,f377]) ).
fof(f16517,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f16450,f240]) ).
fof(f16518,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ49_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f16450,f378]) ).
fof(f16519,plain,
( ~ sQ49_spl
| sQ132_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f16517,f831,f657,f239]) ).
fof(f16520,plain,
( ~ sQ89_spl
| ~ sQ49_spl
| sQ134_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f16518,f3345,f764,f239,f377]) ).
fof(f16521,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ44_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f15014,f240]) ).
fof(f16522,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ44_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f15014,f378]) ).
fof(f16523,plain,
( ~ sQ49_spl
| ~ sQ44_spl
| sQ149_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f16521,f824,f846,f223,f239]) ).
fof(f16524,plain,
( ~ sQ89_spl
| ~ sQ44_spl
| sQ177_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f16522,f2556,f1208,f223,f377]) ).
fof(f16526,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ44_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f15015,f240]) ).
fof(f16527,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ44_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f15015,f378]) ).
fof(f16528,plain,
( ~ sQ49_spl
| ~ sQ44_spl
| sQ132_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f16526,f824,f657,f223,f239]) ).
fof(f16529,plain,
( ~ sQ89_spl
| ~ sQ44_spl
| sQ134_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f16527,f2556,f764,f223,f377]) ).
fof(f16542,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ59_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1280,f240]) ).
fof(f16543,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ59_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1280,f378]) ).
fof(f16544,plain,
( ~ sQ49_spl
| ~ sQ59_spl
| sQ288_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f16542,f4153,f2546,f276,f239]) ).
fof(f16545,plain,
( ~ sQ89_spl
| ~ sQ59_spl
| sQ203_spl
| sQ468_spl ),
inference(split_clause,[status(thm)],[f16543,f13459,f1521,f276,f377]) ).
fof(f16546,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ59_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1279,f240]) ).
fof(f16547,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ59_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1279,f378]) ).
fof(f16548,plain,
( ~ sQ49_spl
| ~ sQ59_spl
| sQ136_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f16546,f4153,f771,f276,f239]) ).
fof(f16549,plain,
( ~ sQ89_spl
| ~ sQ59_spl
| sQ163_spl
| sQ468_spl ),
inference(split_clause,[status(thm)],[f16547,f13459,f1115,f276,f377]) ).
fof(f16551,plain,
( ~ sQ10_spl
| ~ sQ110_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f2058,f111]) ).
fof(f16552,plain,
( ~ sQ10_spl
| ~ sQ110_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f16551,f1394,f450,f110]) ).
fof(f16553,plain,
( ~ sQ49_spl
| ~ sQ243_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1995,f240]) ).
fof(f16554,plain,
( ~ sQ49_spl
| ~ sQ223_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1756,f240]) ).
fof(f16555,plain,
( ~ sQ89_spl
| ~ sQ385_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f4685,f378]) ).
fof(f16556,plain,
( ~ sQ10_spl
| ~ sQ337_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f3592,f111]) ).
fof(f16557,plain,
( ~ sQ49_spl
| ~ sQ182_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f1270,f240]) ).
fof(f16570,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ54_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1332,f240]) ).
fof(f16571,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ54_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1332,f378]) ).
fof(f16572,plain,
( ~ sQ49_spl
| ~ sQ54_spl
| sQ169_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f16570,f1442,f1144,f260,f239]) ).
fof(f16573,plain,
( ~ sQ89_spl
| ~ sQ54_spl
| sQ158_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f16571,f10775,f1043,f260,f377]) ).
fof(f16574,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ54_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1333,f240]) ).
fof(f16575,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ54_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1333,f378]) ).
fof(f16576,plain,
( ~ sQ49_spl
| ~ sQ54_spl
| sQ288_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f16574,f1442,f2546,f260,f239]) ).
fof(f16577,plain,
( ~ sQ89_spl
| ~ sQ54_spl
| sQ203_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f16575,f10775,f1521,f260,f377]) ).
fof(f16578,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ124_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1804,f240]) ).
fof(f16579,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ124_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1804,f378]) ).
fof(f16580,plain,
( ~ sQ49_spl
| ~ sQ124_spl
| sQ126_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f16578,f7253,f507,f494,f239]) ).
fof(f16581,plain,
( ~ sQ89_spl
| ~ sQ124_spl
| sQ144_spl
| sQ455_spl ),
inference(split_clause,[status(thm)],[f16579,f10108,f820,f494,f377]) ).
fof(f16582,plain,
( ~ sQ98_spl
| ~ sQ197_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f1443,f407]) ).
fof(f16583,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ124_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1805,f240]) ).
fof(f16584,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ124_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f1805,f378]) ).
fof(f16585,plain,
( ~ sQ49_spl
| ~ sQ124_spl
| sQ154_spl
| sQ432_spl ),
inference(split_clause,[status(thm)],[f16583,f7253,f1005,f494,f239]) ).
fof(f16586,plain,
( ~ sQ89_spl
| ~ sQ124_spl
| sQ146_spl
| sQ455_spl ),
inference(split_clause,[status(thm)],[f16584,f10108,f827,f494,f377]) ).
fof(f16589,plain,
( ~ sQ89_spl
| ~ sQ39_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f5726,f378]) ).
fof(f16590,plain,
( ~ sQ89_spl
| ~ sQ39_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f16589,f764,f207,f377]) ).
fof(f16591,plain,
( ~ sQ372_spl
| ~ sQ67_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f15951,f251,f302,f4397]) ).
fof(f16592,plain,
( ~ sQ19_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f139,f546]) ).
fof(f16593,plain,
( ~ sQ19_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f139,f545]) ).
fof(f16594,plain,
( ~ sQ44_spl
| ~ sQ19_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f139,f15011]) ).
fof(f16595,plain,
( ~ sQ363_spl
| ~ sQ19_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f139,f4090]) ).
fof(f16596,plain,
( ~ sQ19_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f139,f544]) ).
fof(f16599,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ19_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f139,f15015]) ).
fof(f16600,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ19_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f139,f15014]) ).
fof(f16610,plain,
( ~ sQ44_spl
| ~ sQ19_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f16594,f1450,f138,f223]) ).
fof(f16613,plain,
( ~ sQ44_spl
| ~ sQ19_spl
| sQ199_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f16599,f3085,f1450,f138,f223]) ).
fof(f16614,plain,
( ~ sQ44_spl
| ~ sQ19_spl
| sQ128_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f16600,f3085,f553,f138,f223]) ).
fof(f16619,plain,
( ~ sQ178_spl
| ~ sQ12_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f12527,f87,f116,f1235]) ).
fof(f16621,plain,
( ~ sQ98_spl
| ~ sQ327_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f16490,f368,f3345,f406]) ).
fof(f16623,plain,
( ~ sQ145_spl
| ~ sQ98_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1365,f390,f406,f824]) ).
fof(f16624,plain,
( ~ sQ243_spl
| ~ sQ124_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f8966,f450,f494,f1994]) ).
fof(f16625,plain,
( ~ sQ30_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f180,f955]) ).
fof(f16626,plain,
( ~ sQ30_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f180,f954]) ).
fof(f16627,plain,
( ~ sQ30_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f180,f953]) ).
fof(f16638,plain,
( ~ sQ98_spl
| ~ sQ145_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f825,f407]) ).
fof(f16642,plain,
( ~ sQ19_spl
| ~ sQ190_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1407,f139]) ).
fof(f16643,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ20_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f541,f180]) ).
fof(f16644,plain,
( ~ sQ30_spl
| ~ sQ20_spl
| sQ140_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f16643,f1002,f799,f142,f179]) ).
fof(f16645,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ20_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f540,f180]) ).
fof(f16646,plain,
( ~ sQ30_spl
| ~ sQ20_spl
| sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f16645,f1002,f1005,f142,f179]) ).
fof(f16647,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ35_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f896,f180]) ).
fof(f16648,plain,
( ~ sQ30_spl
| ~ sQ35_spl
| sQ288_spl
| sQ427_spl ),
inference(split_clause,[status(thm)],[f16647,f7148,f2546,f195,f179]) ).
fof(f16649,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ35_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f897,f180]) ).
fof(f16650,plain,
( ~ sQ30_spl
| ~ sQ35_spl
| sQ132_spl
| sQ427_spl ),
inference(split_clause,[status(thm)],[f16649,f7148,f657,f195,f179]) ).
fof(f16651,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ90_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f1538,f180]) ).
fof(f16652,plain,
( ~ sQ30_spl
| ~ sQ90_spl
| sQ156_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f16651,f1489,f1015,f381,f179]) ).
fof(f16655,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ110_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f2061,f180]) ).
fof(f16656,plain,
( ~ sQ30_spl
| ~ sQ110_spl
| sQ288_spl
| sQ444_spl ),
inference(split_clause,[status(thm)],[f16655,f8559,f2546,f450,f179]) ).
fof(f16669,plain,
( ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f218,f738]) ).
fof(f16670,plain,
( ~ sQ42_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f737]) ).
fof(f16671,plain,
( ~ sQ42_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f218,f736]) ).
fof(f16700,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ53_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1337,f407]) ).
fof(f16701,plain,
( ~ sQ98_spl
| ~ sQ53_spl
| sQ169_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f16700,f5704,f1144,f257,f406]) ).
fof(f16702,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ53_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1338,f407]) ).
fof(f16703,plain,
( ~ sQ98_spl
| ~ sQ53_spl
| sQ203_spl
| sQ410_spl ),
inference(split_clause,[status(thm)],[f16702,f5704,f1521,f257,f406]) ).
fof(f16704,plain,
( ~ sQ20_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f143,f539]) ).
fof(f16705,plain,
( ~ sQ20_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f143,f538]) ).
fof(f16706,plain,
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f143,f1861]) ).
fof(f16707,plain,
( ~ sQ20_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f143,f537]) ).
fof(f16708,plain,
( ~ sQ455_spl
| ~ sQ20_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f143,f10109]) ).
fof(f16709,plain,
( ~ sQ421_spl
| ~ sQ20_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f143,f6346]) ).
fof(f16710,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ20_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f143,f1624]) ).
fof(f16711,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ20_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f143,f1625]) ).
fof(f16712,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ20_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f143,f1594]) ).
fof(f16713,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ20_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f143,f1595]) ).
fof(f16714,plain,
! [X0] :
( ~ sQ120_spl
| ~ sQ20_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f143,f1865]) ).
fof(f16723,plain,
( ~ sQ120_spl
| ~ sQ20_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f16706,f1394,f142,f482]) ).
fof(f16724,plain,
( ~ sQ455_spl
| ~ sQ20_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f16708,f113,f142,f10108]) ).
fof(f16725,plain,
( ~ sQ80_spl
| ~ sQ20_spl
| sQ136_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f16710,f1657,f771,f142,f349]) ).
fof(f16726,plain,
( ~ sQ80_spl
| ~ sQ20_spl
| sQ195_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f16711,f1657,f1429,f142,f349]) ).
fof(f16727,plain,
( ~ sQ85_spl
| ~ sQ20_spl
| sQ228_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f16712,f1586,f1809,f142,f365]) ).
fof(f16728,plain,
( ~ sQ85_spl
| ~ sQ20_spl
| sQ195_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f16713,f1586,f1429,f142,f365]) ).
fof(f16729,plain,
( ~ sQ120_spl
| ~ sQ20_spl
| sQ188_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f16714,f1952,f1394,f142,f482]) ).
fof(f16741,plain,
( ~ sQ42_spl
| ~ sQ454_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f10098,f218]) ).
fof(f16744,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f167,f997]) ).
fof(f16745,plain,
( ~ sQ26_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f167,f996]) ).
fof(f16746,plain,
( ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f995]) ).
fof(f16768,plain,
( ~ sQ66_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f300,f1078]) ).
fof(f16769,plain,
( ~ sQ66_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f300,f1077]) ).
fof(f16770,plain,
( ~ sQ386_spl
| ~ sQ66_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f300,f4715]) ).
fof(f16771,plain,
( ~ sQ66_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f300,f1076]) ).
fof(f16778,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ66_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f300,f9943]) ).
fof(f16779,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ66_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f300,f9942]) ).
fof(f16785,plain,
( ~ sQ386_spl
| ~ sQ66_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f16770,f280,f299,f4714]) ).
fof(f16792,plain,
( ~ sQ26_spl
| ~ sQ66_spl
| sQ163_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f16778,f1134,f1115,f299,f166]) ).
fof(f16793,plain,
( ~ sQ26_spl
| ~ sQ66_spl
| sQ167_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f16779,f1134,f1137,f299,f166]) ).
fof(f16794,plain,
( ~ sQ79_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f346,f1629]) ).
fof(f16795,plain,
( ~ sQ79_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f346,f1628]) ).
fof(f16796,plain,
( ~ sQ79_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f346,f1627]) ).
fof(f16832,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ83_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1606,f407]) ).
fof(f16833,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| sQ128_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f16832,f1644,f553,f358,f406]) ).
fof(f16836,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ9_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f652,f346]) ).
fof(f16837,plain,
( ~ sQ79_spl
| ~ sQ9_spl
| sQ167_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f16836,f1710,f1137,f106,f345]) ).
fof(f16838,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ9_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f651,f346]) ).
fof(f16839,plain,
( ~ sQ79_spl
| ~ sQ9_spl
| sQ199_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f16838,f1710,f1450,f106,f345]) ).
fof(f16844,plain,
( ~ sQ42_spl
| ~ sQ47_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f715,f218]) ).
fof(f16845,plain,
( ~ sQ42_spl
| ~ sQ47_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f16844,f827,f233,f217]) ).
fof(f16846,plain,
( ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f117,f618]) ).
fof(f16847,plain,
( ~ sQ12_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f117,f617]) ).
fof(f16848,plain,
( ~ sQ37_spl
| ~ sQ12_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f117,f865]) ).
fof(f16849,plain,
( ~ sQ344_spl
| ~ sQ12_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f117,f3671]) ).
fof(f16850,plain,
( ~ sQ12_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f117,f616]) ).
fof(f16851,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ12_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f117,f1894]) ).
fof(f16852,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ12_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f117,f1895]) ).
fof(f16853,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ12_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f117,f869]) ).
fof(f16854,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ12_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f117,f868]) ).
fof(f16855,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ12_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f117,f1378]) ).
fof(f16856,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ12_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f117,f1377]) ).
fof(f16859,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ12_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f117,f2099]) ).
fof(f16860,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ12_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f117,f2098]) ).
fof(f16868,plain,
( ~ sQ37_spl
| ~ sQ12_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f16848,f1450,f116,f201]) ).
fof(f16869,plain,
( ~ sQ117_spl
| ~ sQ12_spl
| sQ177_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f16851,f2864,f1208,f116,f472]) ).
fof(f16870,plain,
( ~ sQ117_spl
| ~ sQ12_spl
| sQ188_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f16852,f2864,f1394,f116,f472]) ).
fof(f16871,plain,
( ~ sQ37_spl
| ~ sQ12_spl
| sQ199_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f16853,f2869,f1450,f116,f201]) ).
fof(f16872,plain,
( ~ sQ37_spl
| ~ sQ12_spl
| sQ130_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f16854,f2869,f643,f116,f201]) ).
fof(f16873,plain,
( ~ sQ97_spl
| ~ sQ12_spl
| sQ195_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f16855,f2194,f1429,f116,f403]) ).
fof(f16874,plain,
( ~ sQ97_spl
| ~ sQ12_spl
| sQ144_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f16856,f2194,f820,f116,f403]) ).
fof(f16877,plain,
( ~ sQ107_spl
| ~ sQ12_spl
| sQ188_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f16859,f4812,f1394,f116,f440]) ).
fof(f16878,plain,
( ~ sQ107_spl
| ~ sQ12_spl
| sQ163_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f16860,f4812,f1115,f116,f440]) ).
fof(f16881,plain,
( ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f255,f1341]) ).
fof(f16882,plain,
( ~ sQ52_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f255,f1340]) ).
fof(f16883,plain,
( ~ sQ52_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f255,f1339]) ).
fof(f16884,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ52_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f255,f572]) ).
fof(f16885,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ52_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f255,f573]) ).
fof(f16886,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ52_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f255,f1576]) ).
fof(f16887,plain,
! [X0] :
( ~ sQ87_spl
| ~ sQ52_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f255,f1575]) ).
fof(f16888,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ52_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f255,f717]) ).
fof(f16889,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ52_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f255,f718]) ).
fof(f16890,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ52_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f255,f1894]) ).
fof(f16891,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ52_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f255,f1895]) ).
fof(f16892,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ52_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f255,f869]) ).
fof(f16893,plain,
! [X0] :
( ~ sQ37_spl
| ~ sQ52_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f255,f868]) ).
fof(f16894,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f255,f1343]) ).
fof(f16895,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f255,f1342]) ).
fof(f16901,plain,
( ~ sQ17_spl
| ~ sQ52_spl
| sQ195_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f16884,f1402,f1429,f254,f132]) ).
fof(f16902,plain,
( ~ sQ17_spl
| ~ sQ52_spl
| sQ158_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f16885,f1402,f1043,f254,f132]) ).
fof(f16903,plain,
( ~ sQ87_spl
| ~ sQ52_spl
| sQ177_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f16886,f10775,f1208,f254,f371]) ).
fof(f16904,plain,
( ~ sQ87_spl
| ~ sQ52_spl
| sQ220_spl
| sQ459_spl ),
inference(split_clause,[status(thm)],[f16887,f10775,f1718,f254,f371]) ).
fof(f16905,plain,
( ~ sQ47_spl
| ~ sQ52_spl
| sQ188_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f16888,f1442,f1394,f254,f233]) ).
fof(f16906,plain,
( ~ sQ47_spl
| ~ sQ52_spl
| sQ163_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f16889,f1442,f1115,f254,f233]) ).
fof(f16907,plain,
( ~ sQ117_spl
| ~ sQ52_spl
| sQ195_spl
| sQ458_spl ),
inference(split_clause,[status(thm)],[f16890,f10768,f1429,f254,f472]) ).
fof(f16908,plain,
( ~ sQ117_spl
| ~ sQ52_spl
| sQ144_spl
| sQ458_spl ),
inference(split_clause,[status(thm)],[f16891,f10768,f820,f254,f472]) ).
fof(f16909,plain,
( ~ sQ37_spl
| ~ sQ52_spl
| sQ163_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f16892,f9341,f1115,f254,f201]) ).
fof(f16910,plain,
( ~ sQ37_spl
| ~ sQ52_spl
| sQ220_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f16893,f9341,f1718,f254,f201]) ).
fof(f16911,plain,
( ~ sQ52_spl
| sQ130_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f16894,f7043,f643,f254]) ).
fof(f16912,plain,
( ~ sQ52_spl
| sQ138_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f16895,f7043,f786,f254]) ).
fof(f16913,plain,
( ~ sQ212_spl
| ~ sQ121_spl
| ~ sQ118_spl ),
inference(split_clause,[status(thm)],[f1847,f475,f485,f1666]) ).
fof(f16914,plain,
( ~ sQ55_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f265,f1326]) ).
fof(f16915,plain,
( ~ sQ55_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f265,f1325]) ).
fof(f16916,plain,
( ~ sQ55_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f265,f1324]) ).
fof(f16917,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ55_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f265,f2156]) ).
fof(f16918,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ55_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f265,f2155]) ).
fof(f16926,plain,
( ~ sQ100_spl
| ~ sQ55_spl
| sQ144_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f16917,f10278,f820,f264,f418]) ).
fof(f16927,plain,
( ~ sQ100_spl
| ~ sQ55_spl
| sQ140_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f16918,f10278,f799,f264,f418]) ).
fof(f16930,plain,
( ~ sQ83_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f359,f1604]) ).
fof(f16931,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f359,f1368]) ).
fof(f16932,plain,
( ~ sQ83_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f359,f1603]) ).
fof(f16933,plain,
( ~ sQ108_spl
| ~ sQ83_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f359,f2089]) ).
fof(f16934,plain,
( ~ sQ83_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f359,f1602]) ).
fof(f16935,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ83_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f359,f2093]) ).
fof(f16936,plain,
! [X0] :
( ~ sQ108_spl
| ~ sQ83_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f359,f2092]) ).
fof(f16938,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ83_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f359,f1370]) ).
fof(f16939,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f359,f1605]) ).
fof(f16940,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f359,f1606]) ).
fof(f16946,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f16931,f1005,f358,f406]) ).
fof(f16947,plain,
( ~ sQ108_spl
| ~ sQ83_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f16933,f827,f358,f443]) ).
fof(f16948,plain,
( ~ sQ108_spl
| ~ sQ83_spl
| sQ146_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f16935,f4791,f827,f358,f443]) ).
fof(f16949,plain,
( ~ sQ108_spl
| ~ sQ83_spl
| sQ132_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f16936,f4791,f657,f358,f443]) ).
fof(f16951,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| sQ154_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f16938,f1644,f1005,f358,f406]) ).
fof(f16952,plain,
( ~ sQ83_spl
| sQ132_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f16939,f1689,f657,f358]) ).
fof(f16953,plain,
( ~ sQ83_spl
| sQ128_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f16940,f1689,f553,f358]) ).
fof(f16954,plain,
( ~ sQ100_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f419,f2154]) ).
fof(f16955,plain,
( ~ sQ100_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f419,f2153]) ).
fof(f16956,plain,
( ~ sQ100_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f419,f2152]) ).
fof(f16959,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ100_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f419,f1328]) ).
fof(f16960,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ100_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f419,f1327]) ).
fof(f16968,plain,
( ~ sQ55_spl
| ~ sQ100_spl
| sQ228_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f16959,f10278,f1809,f418,f264]) ).
fof(f16969,plain,
( ~ sQ55_spl
| ~ sQ100_spl
| sQ199_spl
| sQ457_spl ),
inference(split_clause,[status(thm)],[f16960,f10278,f1450,f418,f264]) ).
fof(f16971,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ28_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f13146,f359]) ).
fof(f16972,plain,
( ~ sQ83_spl
| ~ sQ28_spl
| sQ140_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f16971,f3931,f799,f172,f358]) ).
fof(f16973,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ28_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f13147,f359]) ).
fof(f16974,plain,
( ~ sQ83_spl
| ~ sQ28_spl
| sQ134_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f16973,f3931,f764,f172,f358]) ).
fof(f16975,plain,
( ~ sQ55_spl
| ~ sQ265_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f2245,f265]) ).
fof(f16976,plain,
( ~ sQ55_spl
| ~ sQ265_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f16975,f260,f2244,f264]) ).
fof(f16977,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ48_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f713,f359]) ).
fof(f16978,plain,
( ~ sQ83_spl
| ~ sQ48_spl
| sQ134_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f16977,f3335,f764,f236,f358]) ).
fof(f16979,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ48_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f712,f359]) ).
fof(f16980,plain,
( ~ sQ83_spl
| ~ sQ48_spl
| sQ154_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f16979,f3335,f1005,f236,f358]) ).
fof(f16981,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ95_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1473,f419]) ).
fof(f16982,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ95_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1473,f265]) ).
fof(f16983,plain,
( ~ sQ100_spl
| ~ sQ95_spl
| sQ188_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f16981,f2176,f1394,f397,f418]) ).
fof(f16984,plain,
( ~ sQ55_spl
| ~ sQ95_spl
| sQ154_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f16982,f2189,f1005,f397,f264]) ).
fof(f16985,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ95_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1474,f419]) ).
fof(f16986,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ95_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1474,f265]) ).
fof(f16987,plain,
( ~ sQ100_spl
| ~ sQ95_spl
| sQ149_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f16985,f2176,f846,f397,f418]) ).
fof(f16988,plain,
( ~ sQ55_spl
| ~ sQ95_spl
| sQ177_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f16986,f2189,f1208,f397,f264]) ).
fof(f16989,plain,
( ~ sQ236_spl
| ~ sQ95_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f7176,f358,f397,f1942]) ).
fof(f16990,plain,
( ~ sQ83_spl
| ~ sQ261_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f2203,f359]) ).
fof(f16997,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ78_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1703,f359]) ).
fof(f16998,plain,
( ~ sQ83_spl
| ~ sQ78_spl
| sQ140_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f16997,f3809,f799,f342,f358]) ).
fof(f16999,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ35_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f896,f419]) ).
fof(f17000,plain,
( ~ sQ100_spl
| ~ sQ35_spl
| sQ220_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f16999,f2501,f1718,f195,f418]) ).
fof(f17001,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ35_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f897,f419]) ).
fof(f17002,plain,
( ~ sQ100_spl
| ~ sQ35_spl
| sQ136_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f17001,f2501,f771,f195,f418]) ).
fof(f17003,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ118_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1884,f359]) ).
fof(f17004,plain,
( ~ sQ83_spl
| ~ sQ118_spl
| sQ146_spl
| sQ461_spl ),
inference(split_clause,[status(thm)],[f17003,f10835,f827,f475,f358]) ).
fof(f17005,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ118_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1883,f359]) ).
fof(f17006,plain,
( ~ sQ83_spl
| ~ sQ118_spl
| sQ156_spl
| sQ461_spl ),
inference(split_clause,[status(thm)],[f17005,f10835,f1015,f475,f358]) ).
fof(f17007,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ13_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f612,f359]) ).
fof(f17008,plain,
( ~ sQ83_spl
| ~ sQ13_spl
| sQ167_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f17007,f4674,f1137,f119,f358]) ).
fof(f17009,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ13_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f611,f359]) ).
fof(f17010,plain,
( ~ sQ83_spl
| ~ sQ13_spl
| sQ288_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f17009,f4674,f2546,f119,f358]) ).
fof(f17011,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ73_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1037,f359]) ).
fof(f17012,plain,
( ~ sQ83_spl
| ~ sQ73_spl
| sQ154_spl
| sQ463_spl ),
inference(split_clause,[status(thm)],[f17011,f11648,f1005,f321,f358]) ).
fof(f17013,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ73_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1038,f359]) ).
fof(f17014,plain,
( ~ sQ83_spl
| ~ sQ73_spl
| sQ203_spl
| sQ463_spl ),
inference(split_clause,[status(thm)],[f17013,f11648,f1521,f321,f358]) ).
fof(f17023,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ68_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2345,f359]) ).
fof(f17024,plain,
( ~ sQ83_spl
| ~ sQ68_spl
| sQ156_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f17023,f6334,f1015,f305,f358]) ).
fof(f17025,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ68_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f2346,f359]) ).
fof(f17026,plain,
( ~ sQ83_spl
| ~ sQ68_spl
| sQ203_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f17025,f6334,f1521,f305,f358]) ).
fof(f17027,plain,
( ~ sQ1_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f82,f2291]) ).
fof(f17028,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f82,f686]) ).
fof(f17029,plain,
( ~ sQ1_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f82,f2290]) ).
fof(f17030,plain,
( ~ sQ1_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f82,f2289]) ).
fof(f17033,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ1_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f82,f1584]) ).
fof(f17034,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ1_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f82,f1585]) ).
fof(f17035,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ1_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f82,f2107]) ).
fof(f17036,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ1_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f82,f2106]) ).
fof(f17037,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ1_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f82,f689]) ).
fof(f17038,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ1_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f82,f688]) ).
fof(f17046,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f17028,f1450,f81,f97]) ).
fof(f17049,plain,
( ~ sQ86_spl
| ~ sQ1_spl
| sQ220_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f17033,f2269,f1718,f81,f368]) ).
fof(f17050,plain,
( ~ sQ86_spl
| ~ sQ1_spl
| sQ195_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f17034,f2269,f1429,f81,f368]) ).
fof(f17051,plain,
( ~ sQ106_spl
| ~ sQ1_spl
| sQ188_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f17035,f2244,f1394,f81,f437]) ).
fof(f17052,plain,
( ~ sQ106_spl
| ~ sQ1_spl
| sQ199_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f17036,f2244,f1450,f81,f437]) ).
fof(f17053,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| sQ138_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f17037,f2219,f786,f81,f97]) ).
fof(f17054,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| sQ199_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f17038,f2219,f1450,f81,f97]) ).
fof(f17057,plain,
( ~ sQ38_spl
| ~ sQ322_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f13158,f185,f3280,f204]) ).
fof(f17058,plain,
( ~ sQ38_spl
| ~ sQ271_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f15727,f175,f2274,f204]) ).
fof(f17059,plain,
( ~ sQ242_spl
| ~ sQ46_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f10899,f195,f230,f1989]) ).
fof(f17060,plain,
( ~ sQ415_spl
| ~ sQ12_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f12529,f81,f116,f5968]) ).
fof(f17061,plain,
( ~ sQ70_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f313,f1061]) ).
fof(f17062,plain,
( ~ sQ55_spl
| ~ sQ70_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f313,f1325]) ).
fof(f17063,plain,
( ~ sQ70_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f313,f1060]) ).
fof(f17064,plain,
( ~ sQ20_spl
| ~ sQ70_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f313,f537]) ).
fof(f17065,plain,
( ~ sQ70_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f313,f1059]) ).
fof(f17066,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ70_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f313,f1328]) ).
fof(f17067,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ70_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f313,f1327]) ).
fof(f17068,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ70_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f313,f2061]) ).
fof(f17069,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ70_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f313,f2062]) ).
fof(f17070,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ70_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f313,f540]) ).
fof(f17071,plain,
! [X0] :
( ~ sQ20_spl
| ~ sQ70_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f313,f541]) ).
fof(f17072,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ70_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f313,f897]) ).
fof(f17073,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ70_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f313,f896]) ).
fof(f17074,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ70_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f313,f956]) ).
fof(f17075,plain,
! [X0] :
( ~ sQ30_spl
| ~ sQ70_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f313,f957]) ).
fof(f17076,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ70_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f313,f1537]) ).
fof(f17077,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ70_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f313,f1538]) ).
fof(f17079,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f313,f1063]) ).
fof(f17085,plain,
( ~ sQ55_spl
| ~ sQ70_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f17062,f771,f312,f264]) ).
fof(f17086,plain,
( ~ sQ20_spl
| ~ sQ70_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f17064,f1043,f312,f142]) ).
fof(f17087,plain,
( ~ sQ55_spl
| ~ sQ70_spl
| sQ130_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f17066,f1288,f643,f312,f264]) ).
fof(f17088,plain,
( ~ sQ55_spl
| ~ sQ70_spl
| sQ136_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f17067,f1288,f771,f312,f264]) ).
fof(f17089,plain,
( ~ sQ110_spl
| ~ sQ70_spl
| sQ228_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f17068,f7662,f1809,f312,f450]) ).
fof(f17090,plain,
( ~ sQ110_spl
| ~ sQ70_spl
| sQ144_spl
| sQ438_spl ),
inference(split_clause,[status(thm)],[f17069,f7662,f820,f312,f450]) ).
fof(f17091,plain,
( ~ sQ20_spl
| ~ sQ70_spl
| sQ126_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f17070,f1097,f507,f312,f142]) ).
fof(f17092,plain,
( ~ sQ20_spl
| ~ sQ70_spl
| sQ158_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f17071,f1097,f1043,f312,f142]) ).
fof(f17093,plain,
( ~ sQ35_spl
| ~ sQ70_spl
| sQ163_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f17072,f1127,f1115,f312,f195]) ).
fof(f17094,plain,
( ~ sQ35_spl
| ~ sQ70_spl
| sQ228_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f17073,f1127,f1809,f312,f195]) ).
fof(f17095,plain,
( ~ sQ30_spl
| ~ sQ70_spl
| sQ136_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f17074,f2979,f771,f312,f179]) ).
fof(f17096,plain,
( ~ sQ30_spl
| ~ sQ70_spl
| sQ163_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f17075,f2979,f1115,f312,f179]) ).
fof(f17097,plain,
( ~ sQ90_spl
| ~ sQ70_spl
| sQ149_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f17076,f5108,f846,f312,f381]) ).
fof(f17098,plain,
( ~ sQ90_spl
| ~ sQ70_spl
| sQ177_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f17077,f5108,f1208,f312,f381]) ).
fof(f17100,plain,
( ~ sQ70_spl
| sQ130_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f17079,f1159,f643,f312]) ).
fof(f17101,plain,
( ~ sQ49_spl
| ~ sQ223_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f16554,f166,f1755,f239]) ).
fof(f17102,plain,
( ~ sQ81_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f353,f1617]) ).
fof(f17103,plain,
( ~ sQ81_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f353,f1616]) ).
fof(f17104,plain,
( ~ sQ354_spl
| ~ sQ81_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f353,f3932]) ).
fof(f17105,plain,
( ~ sQ81_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f353,f1615]) ).
fof(f17109,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ81_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f353,f627]) ).
fof(f17110,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ81_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f353,f9943]) ).
fof(f17111,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ81_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f353,f9942]) ).
fof(f17112,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ81_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f353,f1079]) ).
fof(f17113,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ81_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f353,f1080]) ).
fof(f17124,plain,
( ~ sQ11_spl
| ~ sQ81_spl
| sQ288_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f17109,f4674,f2546,f352,f113]) ).
fof(f17125,plain,
( ~ sQ26_spl
| ~ sQ81_spl
| sQ134_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f17110,f3931,f764,f352,f166]) ).
fof(f17126,plain,
( ~ sQ26_spl
| ~ sQ81_spl
| sQ140_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f17111,f3931,f799,f352,f166]) ).
fof(f17127,plain,
( ~ sQ66_spl
| ~ sQ81_spl
| sQ156_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f17112,f6334,f1015,f352,f299]) ).
fof(f17128,plain,
( ~ sQ66_spl
| ~ sQ81_spl
| sQ203_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f17113,f6334,f1521,f352,f299]) ).
fof(f17131,plain,
( ~ sQ103_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f428,f2136]) ).
fof(f17132,plain,
( ~ sQ123_spl
| ~ sQ103_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f428,f1838]) ).
fof(f17133,plain,
( ~ sQ103_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f428,f2135]) ).
fof(f17134,plain,
( ~ sQ103_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f428,f2134]) ).
fof(f17135,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ103_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f428,f1840]) ).
fof(f17136,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ103_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f428,f1841]) ).
fof(f17137,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ103_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f428,f712]) ).
fof(f17138,plain,
! [X0] :
( ~ sQ48_spl
| ~ sQ103_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f428,f713]) ).
fof(f17150,plain,
( ~ sQ123_spl
| ~ sQ103_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f17132,f1394,f427,f491]) ).
fof(f17151,plain,
( ~ sQ123_spl
| ~ sQ103_spl
| sQ188_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f17135,f5254,f1394,f427,f491]) ).
fof(f17152,plain,
( ~ sQ123_spl
| ~ sQ103_spl
| sQ126_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f17136,f5254,f507,f427,f491]) ).
fof(f17153,plain,
( ~ sQ48_spl
| ~ sQ103_spl
| sQ188_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f17137,f7306,f1394,f427,f236]) ).
fof(f17154,plain,
( ~ sQ48_spl
| ~ sQ103_spl
| sQ136_spl
| sQ433_spl ),
inference(split_clause,[status(thm)],[f17138,f7306,f771,f427,f236]) ).
fof(f17161,plain,
( ~ sQ67_spl
| ~ sQ465_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f16020,f280,f11923,f302]) ).
fof(f17162,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f136,f562]) ).
fof(f17163,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f136,f561]) ).
fof(f17164,plain,
( ~ sQ313_spl
| ~ sQ18_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f136,f3103]) ).
fof(f17165,plain,
( ~ sQ18_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f560]) ).
fof(f17166,plain,
( ~ sQ272_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f2280]) ).
fof(f17192,plain,
( ~ sQ54_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f261,f1331]) ).
fof(f17193,plain,
( ~ sQ69_spl
| ~ sQ54_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f261,f1065]) ).
fof(f17194,plain,
( ~ sQ54_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f261,f1330]) ).
fof(f17195,plain,
( ~ sQ54_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f261,f1329]) ).
fof(f17196,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ54_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f261,f1067]) ).
fof(f17197,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ54_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f261,f1068]) ).
fof(f17198,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ54_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f261,f651]) ).
fof(f17199,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ54_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f261,f652]) ).
fof(f17200,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ54_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f261,f604]) ).
fof(f17201,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ54_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f261,f603]) ).
fof(f17202,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ54_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f261,f5730]) ).
fof(f17203,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ54_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f261,f5729]) ).
fof(f17211,plain,
( ~ sQ69_spl
| ~ sQ54_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f17193,f1429,f260,f308]) ).
fof(f17212,plain,
( ~ sQ69_spl
| ~ sQ54_spl
| sQ195_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f17196,f1426,f1429,f260,f308]) ).
fof(f17213,plain,
( ~ sQ69_spl
| ~ sQ54_spl
| sQ130_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f17197,f1426,f643,f260,f308]) ).
fof(f17214,plain,
( ~ sQ9_spl
| ~ sQ54_spl
| sQ199_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f17198,f3205,f1450,f260,f106]) ).
fof(f17215,plain,
( ~ sQ9_spl
| ~ sQ54_spl
| sQ158_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f17199,f3205,f1043,f260,f106]) ).
fof(f17216,plain,
( ~ sQ14_spl
| ~ sQ54_spl
| sQ158_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f17200,f2627,f1043,f260,f122]) ).
fof(f17217,plain,
( ~ sQ14_spl
| ~ sQ54_spl
| sQ220_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f17201,f2627,f1718,f260,f122]) ).
fof(f17218,plain,
( ~ sQ39_spl
| ~ sQ54_spl
| sQ163_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f17202,f9341,f1115,f260,f207]) ).
fof(f17219,plain,
( ~ sQ39_spl
| ~ sQ54_spl
| sQ220_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f17203,f9341,f1718,f260,f207]) ).
fof(f17222,plain,
( ~ sQ85_spl
| ~ sQ393_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f14965,f342,f4938,f365]) ).
fof(f17223,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f530]) ).
fof(f17224,plain,
( ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f529]) ).
fof(f17225,plain,
( ~ sQ242_spl
| ~ sQ21_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f146,f1990]) ).
fof(f17226,plain,
( ~ sQ21_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f528]) ).
fof(f17252,plain,
( ~ sQ82_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f356,f1610]) ).
fof(f17253,plain,
( ~ sQ97_spl
| ~ sQ82_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f356,f1375]) ).
fof(f17254,plain,
( ~ sQ82_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f356,f1609]) ).
fof(f17255,plain,
( ~ sQ224_spl
| ~ sQ82_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f356,f1761]) ).
fof(f17256,plain,
( ~ sQ82_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f356,f1608]) ).
fof(f17263,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ82_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f356,f1378]) ).
fof(f17264,plain,
! [X0] :
( ~ sQ97_spl
| ~ sQ82_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f356,f1377]) ).
fof(f17272,plain,
( ~ sQ97_spl
| ~ sQ82_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f17253,f1005,f355,f403]) ).
fof(f17279,plain,
( ~ sQ97_spl
| ~ sQ82_spl
| sQ128_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f17263,f1644,f553,f355,f403]) ).
fof(f17280,plain,
( ~ sQ97_spl
| ~ sQ82_spl
| sQ154_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f17264,f1644,f1005,f355,f403]) ).
fof(f17283,plain,
( ~ sQ22_spl
| ~ sQ405_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f12433,f126,f5512,f148]) ).
fof(f17284,plain,
( ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f274,f1285]) ).
fof(f17285,plain,
( ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f274,f1284]) ).
fof(f17286,plain,
( ~ sQ261_spl
| ~ sQ58_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f274,f2203]) ).
fof(f17287,plain,
( ~ sQ58_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f274,f1283]) ).
fof(f17305,plain,
( ~ sQ31_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f183,f942]) ).
fof(f17306,plain,
( ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f183,f941]) ).
fof(f17307,plain,
( ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f183,f940]) ).
fof(f17324,plain,
( ~ sQ70_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f313,f1061]) ).
fof(f17325,plain,
( ~ sQ60_spl
| ~ sQ70_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f313,f1258]) ).
fof(f17326,plain,
( ~ sQ70_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f313,f1060]) ).
fof(f17327,plain,
( ~ sQ409_spl
| ~ sQ70_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f313,f5700]) ).
fof(f17328,plain,
( ~ sQ70_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f313,f1059]) ).
fof(f17329,plain,
( ~ sQ230_spl
| ~ sQ70_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f313,f1820]) ).
fof(f17330,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ70_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f313,f1026]) ).
fof(f17332,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ70_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f313,f1260]) ).
fof(f17333,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ70_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f313,f1261]) ).
fof(f17341,plain,
( ~ sQ60_spl
| ~ sQ70_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f17325,f1809,f312,f280]) ).
fof(f17342,plain,
( ~ sQ25_spl
| ~ sQ70_spl
| sQ163_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f17330,f1141,f1115,f312,f163]) ).
fof(f17344,definition,
! [X0] :
( sQ471_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ471_spl])],[split_symbol_definition]) ).
fof(f17345,plain,
! [X0] :
( ~ sQ471_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f17344]) ).
fof(f17347,plain,
( ~ sQ60_spl
| ~ sQ70_spl
| sQ228_spl
| sQ471_spl ),
inference(split_clause,[status(thm)],[f17332,f17344,f1809,f312,f280]) ).
fof(f17348,plain,
( ~ sQ60_spl
| ~ sQ70_spl
| sQ130_spl
| sQ471_spl ),
inference(split_clause,[status(thm)],[f17333,f17344,f643,f312,f280]) ).
fof(f17351,plain,
( ~ sQ9_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f107,f650]) ).
fof(f17352,plain,
( ~ sQ9_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f107,f649]) ).
fof(f17353,plain,
( ~ sQ9_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f107,f648]) ).
fof(f17355,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f107,f652]) ).
fof(f17362,plain,
( ~ sQ9_spl
| sQ138_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f17355,f654,f786,f106]) ).
fof(f17363,plain,
( ~ sQ101_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f422,f2146]) ).
fof(f17364,plain,
( ~ sQ101_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f422,f2145]) ).
fof(f17365,plain,
( ~ sQ267_spl
| ~ sQ101_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f422,f2255]) ).
fof(f17366,plain,
( ~ sQ101_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f422,f2144]) ).
fof(f17386,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ44_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f15014,f107]) ).
fof(f17387,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ156_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f17386,f761,f1015,f223,f106]) ).
fof(f17388,plain,
( ~ sQ133_spl
| ~ sQ18_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f4070,f106,f135,f761]) ).
fof(f17389,plain,
( ~ sQ98_spl
| ~ sQ364_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f16489,f393,f4094,f406]) ).
fof(f17390,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ44_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f15015,f107]) ).
fof(f17391,plain,
( ~ sQ9_spl
| ~ sQ44_spl
| sQ199_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f17390,f761,f1450,f223,f106]) ).
fof(f17393,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ116_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1908,f183]) ).
fof(f17395,plain,
( ~ sQ31_spl
| ~ sQ116_spl
| sQ154_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f17393,f3483,f1005,f469,f182]) ).
fof(f17397,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ116_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1907,f183]) ).
fof(f17399,plain,
( ~ sQ31_spl
| ~ sQ116_spl
| sQ156_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f17397,f3483,f1015,f469,f182]) ).
fof(f17400,plain,
( ~ sQ9_spl
| ~ sQ264_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f2220,f107]) ).
fof(f17401,plain,
( ~ sQ58_spl
| ~ sQ309_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f2995,f274]) ).
fof(f17402,plain,
( ~ sQ31_spl
| ~ sQ210_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f1651,f183]) ).
fof(f17403,plain,
( ~ sQ31_spl
| ~ sQ460_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f10781,f183]) ).
fof(f17404,plain,
( ~ sQ9_spl
| ~ sQ328_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f3363,f107]) ).
fof(f17405,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ24_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f502,f107]) ).
fof(f17406,definition,
! [X0] :
( sQ472_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ472_spl])],[split_symbol_definition]) ).
fof(f17407,plain,
! [X0] :
( ~ sQ472_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f17406]) ).
fof(f17409,plain,
( ~ sQ9_spl
| ~ sQ24_spl
| sQ138_spl
| sQ472_spl ),
inference(split_clause,[status(thm)],[f17405,f17406,f786,f154,f106]) ).
fof(f17410,plain,
! [X0] :
( ~ sQ9_spl
| ~ sQ24_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f501,f107]) ).
fof(f17411,plain,
( ~ sQ9_spl
| ~ sQ24_spl
| sQ154_spl
| sQ472_spl ),
inference(split_clause,[status(thm)],[f17410,f17406,f1005,f154,f106]) ).
fof(f17414,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ53_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1338,f274]) ).
fof(f17415,plain,
( ~ sQ58_spl
| ~ sQ53_spl
| sQ130_spl
| sQ440_spl ),
inference(split_clause,[status(thm)],[f17414,f8046,f643,f257,f273]) ).
fof(f17416,plain,
( ~ sQ31_spl
| ~ sQ46_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f720,f183]) ).
fof(f17417,plain,
( ~ sQ31_spl
| ~ sQ46_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f17416,f1005,f230,f182]) ).
fof(f17418,plain,
( ~ sQ82_spl
| ~ sQ98_spl
| ~ sQ365_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f356,f16411]) ).
fof(f17419,plain,
( ~ sQ82_spl
| ~ sQ98_spl
| ~ sQ365_spl ),
inference(contradiction_clause,[status(thm)],[f17418]) ).
fof(f17420,plain,
( ~ sQ98_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f407,f1369]) ).
fof(f17421,plain,
( ~ sQ98_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f407,f1368]) ).
fof(f17422,plain,
( ~ sQ98_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f407,f1367]) ).
fof(f17432,plain,
( ~ sQ44_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f224,f15013]) ).
fof(f17433,plain,
( ~ sQ44_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f224,f15011]) ).
fof(f17434,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ44_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f224,f501]) ).
fof(f17435,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ44_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f224,f502]) ).
fof(f17436,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f224,f15015]) ).
fof(f17437,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f224,f15014]) ).
fof(f17439,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f224,f61]) ).
fof(f17443,plain,
( ~ sQ24_spl
| ~ sQ44_spl
| sQ146_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f17434,f803,f827,f223,f154]) ).
fof(f17444,plain,
( ~ sQ24_spl
| ~ sQ44_spl
| sQ140_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f17435,f803,f799,f223,f154]) ).
fof(f17445,plain,
( ~ sQ44_spl
| sQ132_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f17436,f842,f657,f223]) ).
fof(f17446,plain,
( ~ sQ44_spl
| sQ128_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f17437,f842,f553,f223]) ).
fof(f17447,plain,
( ~ sQ463_spl
| ~ sQ72_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f319,f11649]) ).
fof(f17457,plain,
( ~ sQ72_spl
| ~ sQ369_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f4287,f319]) ).
fof(f17458,plain,
( ~ sQ72_spl
| ~ sQ168_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1142,f319]) ).
fof(f17459,plain,
( ~ sQ98_spl
| ~ sQ217_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f1706,f407]) ).
fof(f17460,plain,
( ~ sQ44_spl
| ~ sQ282_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f2426,f224]) ).
fof(f17461,plain,
( ~ sQ72_spl
| ~ sQ395_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f5109,f319]) ).
fof(f17462,plain,
( ~ sQ72_spl
| ~ sQ395_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f17461,f299,f5108,f318]) ).
fof(f17463,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ82_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1611,f319]) ).
fof(f17464,plain,
( ~ sQ72_spl
| ~ sQ82_spl
| sQ136_spl
| sQ463_spl ),
inference(split_clause,[status(thm)],[f17463,f11648,f771,f355,f318]) ).
fof(f17465,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ82_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1612,f319]) ).
fof(f17466,plain,
( ~ sQ72_spl
| ~ sQ82_spl
| sQ177_spl
| sQ463_spl ),
inference(split_clause,[status(thm)],[f17465,f11648,f1208,f355,f318]) ).
fof(f17468,plain,
( ~ sQ72_spl
| ~ sQ331_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f3441,f319]) ).
fof(f17470,plain,
( ~ sQ98_spl
| ~ sQ430_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f7236,f407]) ).
fof(f17471,plain,
( ~ sQ98_spl
| ~ sQ430_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f17470,f387,f7235,f406]) ).
fof(f17472,plain,
( ~ sQ53_spl
| ~ sQ72_spl
| ~ sQ168_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f258,f17458]) ).
fof(f17473,plain,
( ~ sQ53_spl
| ~ sQ72_spl
| ~ sQ168_spl ),
inference(contradiction_clause,[status(thm)],[f17472]) ).
fof(f17474,plain,
( ~ sQ98_spl
| ~ sQ364_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f4095,f407]) ).
fof(f17476,plain,
! [X0] :
( ~ sQ72_spl
| ~ sQ27_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f987,f319]) ).
fof(f17477,plain,
( ~ sQ72_spl
| ~ sQ27_spl
| sQ169_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f17476,f1141,f1144,f169,f318]) ).
fof(f17478,plain,
( ~ sQ337_spl
| ~ sQ85_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f13740,f336,f365,f3591]) ).
fof(f17479,plain,
( ~ sQ71_spl
| ~ sQ260_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f9950,f292,f2194,f315]) ).
fof(f17481,plain,
( ~ sQ373_spl
| ~ sQ111_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f4698,f427,f453,f4441]) ).
fof(f17486,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ43_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f734,f407]) ).
fof(f17487,plain,
( ~ sQ98_spl
| ~ sQ43_spl
| sQ149_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f17486,f1666,f846,f220,f406]) ).
fof(f17488,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ43_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f735,f407]) ).
fof(f17489,plain,
( ~ sQ98_spl
| ~ sQ43_spl
| sQ134_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f17488,f1666,f764,f220,f406]) ).
fof(f17490,plain,
( ~ sQ98_spl
| ~ sQ428_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f7160,f407]) ).
fof(f17491,plain,
( ~ sQ98_spl
| ~ sQ325_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f3336,f407]) ).
fof(f17492,plain,
( ~ sQ98_spl
| ~ sQ380_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f4557,f407]) ).
fof(f17493,plain,
( ~ sQ31_spl
| ~ sQ274_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f2301,f183]) ).
fof(f17508,plain,
! [X0] :
( ~ sQ31_spl
| ~ sQ16_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f582,f183]) ).
fof(f17509,plain,
( ~ sQ31_spl
| ~ sQ16_spl
| sQ140_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f17508,f1012,f799,f129,f182]) ).
fof(f17514,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ113_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1981,f407]) ).
fof(f17515,plain,
( ~ sQ98_spl
| ~ sQ113_spl
| sQ228_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f17514,f1989,f1809,f459,f406]) ).
fof(f17516,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ113_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1982,f407]) ).
fof(f17517,plain,
( ~ sQ98_spl
| ~ sQ113_spl
| sQ146_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f17516,f1989,f827,f459,f406]) ).
fof(f17518,plain,
( ~ sQ24_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f155,f500]) ).
fof(f17519,plain,
( ~ sQ24_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f155,f499]) ).
fof(f17520,plain,
( ~ sQ24_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f155,f498]) ).
fof(f17521,plain,
( ~ sQ187_spl
| ~ sQ24_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f155,f1392]) ).
fof(f17522,plain,
( ~ sQ283_spl
| ~ sQ24_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f155,f2462]) ).
fof(f17523,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ24_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f155,f604]) ).
fof(f17524,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ24_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f155,f603]) ).
fof(f17525,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ24_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f155,f1279]) ).
fof(f17526,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ24_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f155,f1280]) ).
fof(f17527,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ24_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f155,f1333]) ).
fof(f17528,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ24_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f155,f1332]) ).
fof(f17529,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ24_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f155,f1184]) ).
fof(f17530,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ24_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f155,f1185]) ).
fof(f17538,plain,
( ~ sQ187_spl
| ~ sQ24_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f17521,f84,f154,f1391]) ).
fof(f17539,plain,
( ~ sQ283_spl
| ~ sQ24_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f17522,f94,f154,f2461]) ).
fof(f17540,definition,
! [X0] :
( sQ473_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ473_spl])],[split_symbol_definition]) ).
fof(f17541,plain,
! [X0] :
( ~ sQ473_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f17540]) ).
fof(f17543,plain,
( ~ sQ14_spl
| ~ sQ24_spl
| sQ138_spl
| sQ473_spl ),
inference(split_clause,[status(thm)],[f17523,f17540,f786,f154,f122]) ).
fof(f17544,plain,
( ~ sQ14_spl
| ~ sQ24_spl
| sQ228_spl
| sQ473_spl ),
inference(split_clause,[status(thm)],[f17524,f17540,f1809,f154,f122]) ).
fof(f17545,plain,
( ~ sQ59_spl
| ~ sQ24_spl
| sQ136_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f17525,f4499,f771,f154,f276]) ).
fof(f17546,plain,
( ~ sQ59_spl
| ~ sQ24_spl
| sQ220_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f17526,f4499,f1718,f154,f276]) ).
fof(f17547,plain,
( ~ sQ54_spl
| ~ sQ24_spl
| sQ220_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f17527,f1391,f1718,f154,f260]) ).
fof(f17548,plain,
( ~ sQ54_spl
| ~ sQ24_spl
| sQ169_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f17528,f1391,f1144,f154,f260]) ).
fof(f17549,plain,
( ~ sQ64_spl
| ~ sQ24_spl
| sQ228_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f17529,f1269,f1809,f154,f292]) ).
fof(f17550,plain,
( ~ sQ64_spl
| ~ sQ24_spl
| sQ220_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f17530,f1269,f1718,f154,f292]) ).
fof(f17553,plain,
( ~ sQ431_spl
| ~ sQ21_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f11011,f126,f145,f7243]) ).
fof(f17563,plain,
( ~ sQ98_spl
| ~ sQ428_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f7160,f407]) ).
fof(f17564,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f612,f407]) ).
fof(f17565,plain,
( ~ sQ98_spl
| ~ sQ13_spl
| sQ167_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f17564,f2194,f1137,f119,f406]) ).
fof(f17566,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f611,f407]) ).
fof(f17567,plain,
( ~ sQ98_spl
| ~ sQ13_spl
| sQ228_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f17566,f2194,f1809,f119,f406]) ).
fof(f17568,plain,
( ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f221,f733]) ).
fof(f17569,plain,
( ~ sQ43_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f221,f732]) ).
fof(f17570,plain,
( ~ sQ312_spl
| ~ sQ43_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f221,f3098]) ).
fof(f17571,plain,
( ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f221,f731]) ).
fof(f17574,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ43_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f221,f2137]) ).
fof(f17575,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ43_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f221,f2138]) ).
fof(f17587,plain,
( ~ sQ103_spl
| ~ sQ43_spl
| sQ167_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f17574,f4190,f1137,f220,f427]) ).
fof(f17588,plain,
( ~ sQ103_spl
| ~ sQ43_spl
| sQ154_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f17575,f4190,f1005,f220,f427]) ).
fof(f17593,plain,
( ~ sQ43_spl
| ~ sQ366_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f4191,f221]) ).
fof(f17594,plain,
( ~ sQ43_spl
| ~ sQ366_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f17593,f163,f4190,f220]) ).
fof(f17595,plain,
( ~ sQ98_spl
| ~ sQ361_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f12249,f349,f4021,f406]) ).
fof(f17596,plain,
( ~ sQ47_spl
| ~ sQ368_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f7289,f207,f4256,f233]) ).
fof(f17597,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f1024]) ).
fof(f17598,plain,
( ~ sQ25_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f164,f1023]) ).
fof(f17599,plain,
( ~ sQ25_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1022]) ).
fof(f17613,plain,
( ~ sQ47_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f234,f716]) ).
fof(f17614,plain,
( ~ sQ47_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f234,f715]) ).
fof(f17615,plain,
( ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f234,f714]) ).
fof(f17630,plain,
( ~ sQ98_spl
| ~ sQ327_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f3346,f407]) ).
fof(f17631,plain,
( ~ sQ31_spl
| ~ sQ351_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f3893,f183]) ).
fof(f17632,plain,
( ~ sQ31_spl
| ~ sQ351_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f17631,f163,f3892,f182]) ).
fof(f17633,plain,
( ~ sQ381_spl
| ~ sQ30_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f6687,f166,f179,f4603]) ).
fof(f17634,plain,
( ~ sQ155_spl
| ~ sQ94_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f1481,f358,f393,f1012]) ).
fof(f17635,plain,
( ~ sQ73_spl
| ~ sQ365_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f7651,f270,f4153,f321]) ).
fof(f17636,plain,
( ~ sQ110_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f451,f2060]) ).
fof(f17637,plain,
( ~ sQ110_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f451,f2059]) ).
fof(f17638,plain,
( ~ sQ110_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f451,f2058]) ).
fof(f17639,plain,
( ~ sQ393_spl
| ~ sQ110_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f451,f4939]) ).
fof(f17640,plain,
( ~ sQ249_spl
| ~ sQ110_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f451,f2064]) ).
fof(f17641,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ110_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f451,f1918]) ).
fof(f17643,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ110_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f451,f1474]) ).
fof(f17644,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ110_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f451,f1473]) ).
fof(f17647,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ110_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f451,f1026]) ).
fof(f17648,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ110_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f451,f1025]) ).
fof(f17649,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f451,f2061]) ).
fof(f17650,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f451,f2062]) ).
fof(f17656,plain,
( ~ sQ115_spl
| ~ sQ110_spl
| sQ126_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f17641,f1960,f507,f450,f466]) ).
fof(f17658,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| sQ149_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f17643,f1989,f846,f450,f397]) ).
fof(f17659,plain,
( ~ sQ95_spl
| ~ sQ110_spl
| sQ144_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f17644,f1989,f820,f450,f397]) ).
fof(f17662,plain,
( ~ sQ25_spl
| ~ sQ110_spl
| sQ136_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f17647,f4938,f771,f450,f163]) ).
fof(f17663,plain,
( ~ sQ25_spl
| ~ sQ110_spl
| sQ158_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f17648,f4938,f1043,f450,f163]) ).
fof(f17664,plain,
( ~ sQ110_spl
| sQ130_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f17649,f4721,f643,f450]) ).
fof(f17665,plain,
( ~ sQ110_spl
| sQ126_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f17650,f4721,f507,f450]) ).
fof(f17666,plain,
( ~ sQ110_spl
| ~ sQ115_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1915,f451]) ).
fof(f17667,plain,
( ~ sQ110_spl
| ~ sQ115_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f17666,f1208,f466,f450]) ).
fof(f17668,plain,
( ~ sQ53_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f258,f1336]) ).
fof(f17669,plain,
( ~ sQ68_spl
| ~ sQ53_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f258,f2343]) ).
fof(f17670,plain,
( ~ sQ73_spl
| ~ sQ53_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f258,f1035]) ).
fof(f17671,plain,
( ~ sQ53_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f258,f1335]) ).
fof(f17672,plain,
( ~ sQ53_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f258,f1334]) ).
fof(f17673,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ53_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f258,f1605]) ).
fof(f17674,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ53_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f258,f1606]) ).
fof(f17675,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ53_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f258,f1840]) ).
fof(f17676,plain,
! [X0] :
( ~ sQ123_spl
| ~ sQ53_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f258,f1841]) ).
fof(f17677,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ53_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f258,f2346]) ).
fof(f17678,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ53_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f258,f2345]) ).
fof(f17680,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ53_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f258,f1037]) ).
fof(f17681,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ53_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f258,f757]) ).
fof(f17682,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ53_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f258,f756]) ).
fof(f17683,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f258,f1338]) ).
fof(f17684,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f258,f1337]) ).
fof(f17690,plain,
( ~ sQ68_spl
| ~ sQ53_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f17669,f1429,f257,f305]) ).
fof(f17691,plain,
( ~ sQ73_spl
| ~ sQ53_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f17670,f1394,f257,f321]) ).
fof(f17692,plain,
( ~ sQ83_spl
| ~ sQ53_spl
| sQ199_spl
| sQ460_spl ),
inference(split_clause,[status(thm)],[f17673,f10780,f1450,f257,f358]) ).
fof(f17693,plain,
( ~ sQ83_spl
| ~ sQ53_spl
| sQ177_spl
| sQ460_spl ),
inference(split_clause,[status(thm)],[f17674,f10780,f1208,f257,f358]) ).
fof(f17694,plain,
( ~ sQ123_spl
| ~ sQ53_spl
| sQ188_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f17675,f1814,f1394,f257,f491]) ).
fof(f17695,plain,
( ~ sQ123_spl
| ~ sQ53_spl
| sQ144_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f17676,f1814,f820,f257,f491]) ).
fof(f17696,plain,
( ~ sQ68_spl
| ~ sQ53_spl
| sQ130_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f17677,f1426,f643,f257,f305]) ).
fof(f17697,plain,
( ~ sQ68_spl
| ~ sQ53_spl
| sQ195_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f17678,f1426,f1429,f257,f305]) ).
fof(f17699,plain,
( ~ sQ73_spl
| ~ sQ53_spl
| sQ188_spl
| sQ406_spl ),
inference(split_clause,[status(thm)],[f17680,f5517,f1394,f257,f321]) ).
fof(f17700,plain,
( ~ sQ38_spl
| ~ sQ53_spl
| sQ163_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f17681,f9341,f1115,f257,f204]) ).
fof(f17701,plain,
( ~ sQ38_spl
| ~ sQ53_spl
| sQ220_spl
| sQ449_spl ),
inference(split_clause,[status(thm)],[f17682,f9341,f1718,f257,f204]) ).
fof(f17702,plain,
( ~ sQ53_spl
| sQ130_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f17683,f7043,f643,f257]) ).
fof(f17703,plain,
( ~ sQ53_spl
| sQ138_spl
| sQ426_spl ),
inference(split_clause,[status(thm)],[f17684,f7043,f786,f257]) ).
fof(f17704,plain,
( ~ sQ25_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f1024]) ).
fof(f17705,plain,
( ~ sQ25_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f164,f1023]) ).
fof(f17706,plain,
( ~ sQ25_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1022]) ).
fof(f17728,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f755]) ).
fof(f17729,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f754]) ).
fof(f17730,plain,
( ~ sQ271_spl
| ~ sQ38_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f205,f2275]) ).
fof(f17731,plain,
( ~ sQ222_spl
| ~ sQ38_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f205,f1751]) ).
fof(f17732,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f753]) ).
fof(f17733,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ38_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f205,f1605]) ).
fof(f17734,plain,
! [X0] :
( ~ sQ83_spl
| ~ sQ38_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f205,f1606]) ).
fof(f17746,plain,
( ~ sQ83_spl
| ~ sQ38_spl
| sQ163_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f17733,f5758,f1115,f204,f358]) ).
fof(f17747,plain,
( ~ sQ83_spl
| ~ sQ38_spl
| sQ156_spl
| sQ412_spl ),
inference(split_clause,[status(thm)],[f17734,f5758,f1015,f204,f358]) ).
fof(f17754,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f17755,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f17756,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f17770,plain,
( ~ sQ101_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f422,f2146]) ).
fof(f17771,plain,
( ~ sQ101_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f422,f2145]) ).
fof(f17772,plain,
( ~ sQ101_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f422,f2144]) ).
fof(f17794,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f215,f5782]) ).
fof(f17795,plain,
( ~ sQ41_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f215,f742]) ).
fof(f17797,plain,
( ~ sQ402_spl
| ~ sQ41_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f215,f5338]) ).
fof(f17798,plain,
( ~ sQ41_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f215,f741]) ).
fof(f17821,plain,
( ~ sQ47_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f234,f716]) ).
fof(f17822,plain,
( ~ sQ47_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f234,f715]) ).
fof(f17823,plain,
( ~ sQ405_spl
| ~ sQ47_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f234,f5513]) ).
fof(f17825,plain,
( ~ sQ47_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f234,f714]) ).
fof(f17826,plain,
( ~ sQ463_spl
| ~ sQ47_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f234,f11649]) ).
fof(f17827,plain,
( ~ sQ165_spl
| ~ sQ47_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f234,f1128]) ).
fof(f17828,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ47_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f234,f2022]) ).
fof(f17838,plain,
( ~ sQ165_spl
| ~ sQ47_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f17827,f204,f233,f1127]) ).
fof(f17839,plain,
( ~ sQ112_spl
| ~ sQ47_spl
| sQ154_spl
| sQ443_spl ),
inference(split_clause,[status(thm)],[f17828,f8487,f1005,f233,f456]) ).
fof(f17844,plain,
( ~ sQ204_spl
| ~ sQ16_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f2699,f100,f129,f1539]) ).
fof(f17857,plain,
( ~ sQ56_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f268,f1316]) ).
fof(f17858,plain,
( ~ sQ71_spl
| ~ sQ56_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f268,f1055]) ).
fof(f17859,plain,
( ~ sQ56_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f268,f1315]) ).
fof(f17860,plain,
( ~ sQ56_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f268,f1314]) ).
fof(f17861,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ56_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f268,f1057]) ).
fof(f17862,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ56_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f268,f1058]) ).
fof(f17863,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ56_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f268,f628]) ).
fof(f17864,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ56_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f268,f627]) ).
fof(f17868,plain,
! [X0] :
( ~ sQ116_spl
| ~ sQ56_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f268,f1908]) ).
fof(f17869,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ56_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f268,f1856]) ).
fof(f17870,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ56_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f268,f1857]) ).
fof(f17878,plain,
( ~ sQ71_spl
| ~ sQ56_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f17858,f1005,f267,f315]) ).
fof(f17879,plain,
( ~ sQ71_spl
| ~ sQ56_spl
| sQ154_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f17861,f1288,f1005,f267,f315]) ).
fof(f17880,plain,
( ~ sQ71_spl
| ~ sQ56_spl
| sQ130_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f17862,f1288,f643,f267,f315]) ).
fof(f17881,plain,
( ~ sQ11_spl
| ~ sQ56_spl
| sQ158_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f17863,f1303,f1043,f267,f113]) ).
fof(f17882,plain,
( ~ sQ11_spl
| ~ sQ56_spl
| sQ288_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f17864,f1303,f2546,f267,f113]) ).
fof(f17886,plain,
( ~ sQ116_spl
| ~ sQ56_spl
| sQ144_spl
| sQ441_spl ),
inference(split_clause,[status(thm)],[f17868,f8053,f820,f267,f469]) ).
fof(f17887,plain,
( ~ sQ121_spl
| ~ sQ56_spl
| sQ154_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f17869,f1819,f1005,f267,f485]) ).
fof(f17888,plain,
( ~ sQ121_spl
| ~ sQ56_spl
| sQ144_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f17870,f1819,f820,f267,f485]) ).
fof(f17891,plain,
( ~ sQ36_spl
| ~ sQ42_spl
| ~ sQ454_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f199,f16741]) ).
fof(f17892,plain,
( ~ sQ36_spl
| ~ sQ42_spl
| ~ sQ454_spl ),
inference(contradiction_clause,[status(thm)],[f17891]) ).
fof(f17908,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ49_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f16450,f192]) ).
fof(f17909,plain,
( ~ sQ34_spl
| ~ sQ49_spl
| sQ132_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f17908,f5199,f657,f239,f191]) ).
fof(f17910,plain,
( ~ sQ65_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f297,f1083]) ).
fof(f17911,plain,
( ~ sQ65_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f297,f1082]) ).
fof(f17912,plain,
( ~ sQ115_spl
| ~ sQ65_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f297,f1914]) ).
fof(f17913,plain,
( ~ sQ317_spl
| ~ sQ65_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f297,f3220]) ).
fof(f17914,plain,
( ~ sQ401_spl
| ~ sQ65_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f297,f5327]) ).
fof(f17915,plain,
( ~ sQ423_spl
| ~ sQ65_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f297,f6496]) ).
fof(f17916,plain,
( ~ sQ65_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f297,f1081]) ).
fof(f17917,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ65_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f297,f699]) ).
fof(f17918,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ65_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f297,f698]) ).
fof(f17919,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ65_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f297,f1026]) ).
fof(f17921,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ65_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f297,f1918]) ).
fof(f17922,plain,
! [X0] :
( ~ sQ115_spl
| ~ sQ65_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f297,f1917]) ).
fof(f17925,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f297,f1085]) ).
fof(f17926,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f297,f1084]) ).
fof(f17932,plain,
( ~ sQ115_spl
| ~ sQ65_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f17912,f820,f296,f466]) ).
fof(f17933,plain,
( ~ sQ401_spl
| ~ sQ65_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f17914,f257,f296,f5326]) ).
fof(f17934,plain,
( ~ sQ423_spl
| ~ sQ65_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f17915,f283,f296,f6495]) ).
fof(f17935,plain,
( ~ sQ5_spl
| ~ sQ65_spl
| sQ158_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f17917,f3224,f1043,f296,f94]) ).
fof(f17936,plain,
( ~ sQ5_spl
| ~ sQ65_spl
| sQ134_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f17918,f3224,f764,f296,f94]) ).
fof(f17937,plain,
( ~ sQ25_spl
| ~ sQ65_spl
| sQ163_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f17919,f1134,f1115,f296,f163]) ).
fof(f17939,plain,
( ~ sQ115_spl
| ~ sQ65_spl
| sQ144_spl
| sQ464_spl ),
inference(split_clause,[status(thm)],[f17921,f11891,f820,f296,f466]) ).
fof(f17940,plain,
( ~ sQ115_spl
| ~ sQ65_spl
| sQ128_spl
| sQ464_spl ),
inference(split_clause,[status(thm)],[f17922,f11891,f553,f296,f466]) ).
fof(f17943,plain,
( ~ sQ65_spl
| sQ130_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f17925,f1165,f643,f296]) ).
fof(f17944,plain,
( ~ sQ65_spl
| sQ128_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f17926,f1165,f553,f296]) ).
fof(f17945,plain,
( ~ sQ85_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f366,f1593]) ).
fof(f17946,plain,
( ~ sQ85_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f366,f1592]) ).
fof(f17947,plain,
( ~ sQ241_spl
| ~ sQ85_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f366,f1985]) ).
fof(f17948,plain,
( ~ sQ269_spl
| ~ sQ85_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f366,f2265]) ).
fof(f17949,plain,
( ~ sQ85_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f366,f1591]) ).
fof(f17963,plain,
( ~ sQ269_spl
| ~ sQ85_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f17948,f345,f365,f2264]) ).
fof(f17972,plain,
( ~ sQ65_spl
| ~ sQ417_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f5989,f297]) ).
fof(f17973,plain,
( ~ sQ65_spl
| ~ sQ436_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f7500,f297]) ).
fof(f17974,plain,
( ~ sQ65_spl
| ~ sQ439_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f7769,f297]) ).
fof(f17975,plain,
( ~ sQ65_spl
| ~ sQ461_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f10836,f297]) ).
fof(f17976,plain,
( ~ sQ85_spl
| ~ sQ444_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f8560,f366]) ).
fof(f17977,plain,
( ~ sQ85_spl
| ~ sQ337_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f3592,f366]) ).
fof(f17982,plain,
( ~ sQ34_spl
| ~ sQ49_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f16447,f192]) ).
fof(f17983,plain,
( ~ sQ34_spl
| ~ sQ49_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f17982,f1005,f239,f191]) ).
fof(f17984,plain,
( ~ sQ198_spl
| ~ sQ108_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f2088,f424,f443,f1447]) ).
fof(f17985,plain,
( ~ sQ65_spl
| ~ sQ401_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f5327,f297]) ).
fof(f17986,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ45_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f728,f297]) ).
fof(f17987,plain,
( ~ sQ65_spl
| ~ sQ45_spl
| sQ163_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f17986,f7235,f1115,f227,f296]) ).
fof(f17988,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ45_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f727,f297]) ).
fof(f17989,plain,
( ~ sQ65_spl
| ~ sQ45_spl
| sQ146_spl
| sQ430_spl ),
inference(split_clause,[status(thm)],[f17988,f7235,f827,f227,f296]) ).
fof(f18002,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ10_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f635,f297]) ).
fof(f18003,plain,
( ~ sQ65_spl
| ~ sQ10_spl
| sQ203_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f18002,f2854,f1521,f110,f296]) ).
fof(f18004,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ10_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f636,f297]) ).
fof(f18005,plain,
( ~ sQ65_spl
| ~ sQ10_spl
| sQ158_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f18004,f2854,f1043,f110,f296]) ).
fof(f18006,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ105_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2117,f297]) ).
fof(f18007,plain,
( ~ sQ65_spl
| ~ sQ105_spl
| sQ144_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f18006,f4805,f820,f434,f296]) ).
fof(f18008,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ105_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2116,f297]) ).
fof(f18009,plain,
( ~ sQ65_spl
| ~ sQ105_spl
| sQ134_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f18008,f4805,f764,f434,f296]) ).
fof(f18010,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ50_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1352,f297]) ).
fof(f18011,plain,
( ~ sQ65_spl
| ~ sQ50_spl
| sQ167_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f18010,f1426,f1137,f248,f296]) ).
fof(f18012,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ50_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1353,f297]) ).
fof(f18013,plain,
( ~ sQ65_spl
| ~ sQ50_spl
| sQ130_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f18012,f1426,f643,f248,f296]) ).
fof(f18014,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ75_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1782,f297]) ).
fof(f18015,plain,
( ~ sQ65_spl
| ~ sQ75_spl
| sQ177_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f18014,f4397,f1208,f333,f296]) ).
fof(f18016,plain,
( ~ sQ42_spl
| ~ sQ372_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f9249,f166,f4397,f217]) ).
fof(f18018,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ104_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2133,f192]) ).
fof(f18019,plain,
( ~ sQ34_spl
| ~ sQ104_spl
| sQ154_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f18018,f2202,f1005,f430,f191]) ).
fof(f18020,plain,
( ~ sQ82_spl
| ~ sQ457_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f11638,f333,f10278,f355]) ).
fof(f18021,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f755]) ).
fof(f18022,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f754]) ).
fof(f18023,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f753]) ).
fof(f18044,plain,
( ~ sQ38_spl
| ~ sQ271_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f2275,f205]) ).
fof(f18063,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f167,f997]) ).
fof(f18064,plain,
( ~ sQ26_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f167,f996]) ).
fof(f18065,plain,
( ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f995]) ).
fof(f18095,plain,
( ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f218,f738]) ).
fof(f18096,plain,
( ~ sQ42_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f737]) ).
fof(f18097,plain,
( ~ sQ465_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f218,f11924]) ).
fof(f18098,plain,
( ~ sQ420_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f218,f6335]) ).
fof(f18099,plain,
( ~ sQ166_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f218,f1135]) ).
fof(f18100,plain,
( ~ sQ42_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f218,f736]) ).
fof(f18122,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f9930]) ).
fof(f18123,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f9929]) ).
fof(f18124,plain,
( ~ sQ231_spl
| ~ sQ45_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f228,f1825]) ).
fof(f18125,plain,
( ~ sQ421_spl
| ~ sQ45_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f228,f6346]) ).
fof(f18126,plain,
( ~ sQ45_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f228,f9928]) ).
fof(f18152,plain,
( ~ sQ6_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f98,f687]) ).
fof(f18153,plain,
( ~ sQ6_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f98,f686]) ).
fof(f18154,plain,
( ~ sQ81_spl
| ~ sQ6_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f98,f1615]) ).
fof(f18155,plain,
( ~ sQ6_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f98,f685]) ).
fof(f18156,plain,
( ~ sQ354_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f98,f3932]) ).
fof(f18157,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ6_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f98,f1856]) ).
fof(f18158,plain,
! [X0] :
( ~ sQ121_spl
| ~ sQ6_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f98,f1857]) ).
fof(f18159,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ6_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f98,f2038]) ).
fof(f18160,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ6_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f98,f2037]) ).
fof(f18161,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ6_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f98,f1619]) ).
fof(f18162,plain,
! [X0] :
( ~ sQ81_spl
| ~ sQ6_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f98,f1618]) ).
fof(f18163,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ6_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f98,f1079]) ).
fof(f18164,plain,
! [X0] :
( ~ sQ66_spl
| ~ sQ6_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f98,f1080]) ).
fof(f18174,plain,
( ~ sQ81_spl
| ~ sQ6_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f18154,f1429,f97,f352]) ).
fof(f18175,plain,
( ~ sQ354_spl
| ~ sQ6_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f18156,f87,f97,f3931]) ).
fof(f18176,plain,
( ~ sQ121_spl
| ~ sQ6_spl
| sQ154_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f18157,f3231,f1005,f97,f485]) ).
fof(f18177,plain,
( ~ sQ121_spl
| ~ sQ6_spl
| sQ188_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f18158,f3231,f1394,f97,f485]) ).
fof(f18178,plain,
( ~ sQ111_spl
| ~ sQ6_spl
| sQ188_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f18159,f2063,f1394,f97,f453]) ).
fof(f18179,plain,
( ~ sQ111_spl
| ~ sQ6_spl
| sQ288_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f18160,f2063,f2546,f97,f453]) ).
fof(f18180,plain,
( ~ sQ81_spl
| ~ sQ6_spl
| sQ195_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f18161,f3197,f1429,f97,f352]) ).
fof(f18181,plain,
( ~ sQ81_spl
| ~ sQ6_spl
| sQ132_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f18162,f3197,f657,f97,f352]) ).
fof(f18182,plain,
( ~ sQ66_spl
| ~ sQ6_spl
| sQ156_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f18163,f3224,f1015,f97,f299]) ).
fof(f18183,plain,
( ~ sQ66_spl
| ~ sQ6_spl
| sQ220_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f18164,f3224,f1718,f97,f299]) ).
fof(f18188,plain,
( ~ sQ98_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f407,f1369]) ).
fof(f18189,plain,
( ~ sQ98_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f407,f1368]) ).
fof(f18190,plain,
( ~ sQ98_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f407,f1367]) ).
fof(f18191,plain,
( ~ sQ364_spl
| ~ sQ98_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f407,f4095]) ).
fof(f18205,plain,
( ~ sQ15_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f127,f590]) ).
fof(f18206,plain,
( ~ sQ15_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f127,f589]) ).
fof(f18207,plain,
( ~ sQ15_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f127,f588]) ).
fof(f18210,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ15_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f127,f727]) ).
fof(f18211,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ15_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f127,f728]) ).
fof(f18219,plain,
( ~ sQ45_spl
| ~ sQ15_spl
| sQ146_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f18210,f4094,f827,f126,f227]) ).
fof(f18220,plain,
( ~ sQ45_spl
| ~ sQ15_spl
| sQ199_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f18211,f4094,f1450,f126,f227]) ).
fof(f18222,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ100_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2155,f127]) ).
fof(f18224,plain,
( ~ sQ15_spl
| ~ sQ100_spl
| sQ167_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f18222,f2158,f1137,f418,f126]) ).
fof(f18226,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ100_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f2156,f127]) ).
fof(f18228,plain,
( ~ sQ15_spl
| ~ sQ100_spl
| sQ188_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f18226,f2158,f1394,f418,f126]) ).
fof(f18230,plain,
( ~ sQ15_spl
| ~ sQ401_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f5327,f127]) ).
fof(f18234,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ8_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f669,f407]) ).
fof(f18235,plain,
( ~ sQ98_spl
| ~ sQ8_spl
| sQ167_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f18234,f2778,f1137,f103,f406]) ).
fof(f18236,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ8_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f668,f407]) ).
fof(f18237,plain,
( ~ sQ98_spl
| ~ sQ8_spl
| sQ136_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f18236,f2778,f771,f103,f406]) ).
fof(f18238,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ55_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1327,f127]) ).
fof(f18240,plain,
( ~ sQ15_spl
| ~ sQ55_spl
| sQ134_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f18238,f1406,f764,f264,f126]) ).
fof(f18242,plain,
( ~ sQ58_spl
| ~ sQ397_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f16121,f260,f5188,f273]) ).
fof(f18243,plain,
( ~ sQ166_spl
| ~ sQ117_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1889,f427,f472,f1134]) ).
fof(f18244,plain,
( ~ sQ49_spl
| ~ sQ182_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f16557,f201,f1269,f239]) ).
fof(f18253,plain,
( ~ sQ98_spl
| ~ sQ197_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f1443,f407]) ).
fof(f18255,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ28_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f13146,f407]) ).
fof(f18256,plain,
( ~ sQ98_spl
| ~ sQ28_spl
| sQ169_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f18255,f2184,f1144,f172,f406]) ).
fof(f18257,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ28_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f13147,f407]) ).
fof(f18258,plain,
( ~ sQ98_spl
| ~ sQ28_spl
| sQ134_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f18257,f2184,f764,f172,f406]) ).
fof(f18259,plain,
( ~ sQ54_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f261,f1331]) ).
fof(f18260,plain,
( ~ sQ54_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f261,f1330]) ).
fof(f18261,plain,
( ~ sQ54_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f261,f1329]) ).
fof(f18262,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ54_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f261,f2087]) ).
fof(f18263,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ54_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f261,f2086]) ).
fof(f18268,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ54_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f261,f16450]) ).
fof(f18269,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ54_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f261,f16449]) ).
fof(f18277,plain,
( ~ sQ109_spl
| ~ sQ54_spl
| sQ144_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f18262,f9346,f820,f260,f446]) ).
fof(f18278,plain,
( ~ sQ109_spl
| ~ sQ54_spl
| sQ199_spl
| sQ450_spl ),
inference(split_clause,[status(thm)],[f18263,f9346,f1450,f260,f446]) ).
fof(f18283,plain,
( ~ sQ49_spl
| ~ sQ54_spl
| sQ163_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f18268,f1442,f1115,f260,f239]) ).
fof(f18284,plain,
( ~ sQ49_spl
| ~ sQ54_spl
| sQ188_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f18269,f1442,f1394,f260,f239]) ).
fof(f18287,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ79_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1630,f261]) ).
fof(f18288,plain,
( ~ sQ54_spl
| ~ sQ79_spl
| sQ138_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f18287,f3624,f786,f345,f260]) ).
fof(f18291,plain,
( ~ sQ54_spl
| ~ sQ79_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1627,f261]) ).
fof(f18292,plain,
( ~ sQ54_spl
| ~ sQ79_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f18291,f1208,f345,f260]) ).
fof(f18297,plain,
! [X0] :
( ~ sQ54_spl
| ~ sQ84_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1599,f261]) ).
fof(f18298,plain,
( ~ sQ54_spl
| ~ sQ84_spl
| sQ199_spl
| sQ460_spl ),
inference(split_clause,[status(thm)],[f18297,f10780,f1450,f361,f260]) ).
fof(f18299,plain,
( ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f274,f1285]) ).
fof(f18300,plain,
( ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f274,f1284]) ).
fof(f18301,plain,
( ~ sQ397_spl
| ~ sQ58_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f274,f5189]) ).
fof(f18302,plain,
( ~ sQ225_spl
| ~ sQ58_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f274,f1766]) ).
fof(f18303,plain,
( ~ sQ58_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f274,f1283]) ).
fof(f18321,plain,
( ~ sQ58_spl
| ~ sQ53_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1335,f274]) ).
fof(f18322,plain,
( ~ sQ58_spl
| ~ sQ53_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f18321,f799,f257,f273]) ).
fof(f18332,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ113_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1981,f274]) ).
fof(f18333,plain,
( ~ sQ58_spl
| ~ sQ113_spl
| sQ288_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f18332,f1984,f2546,f459,f273]) ).
fof(f18334,plain,
! [X0] :
( ~ sQ58_spl
| ~ sQ113_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1982,f274]) ).
fof(f18335,plain,
( ~ sQ58_spl
| ~ sQ113_spl
| sQ144_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f18334,f1984,f820,f459,f273]) ).
fof(f18340,plain,
( ~ sQ58_spl
| ~ sQ73_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1035,f274]) ).
fof(f18341,plain,
( ~ sQ58_spl
| ~ sQ73_spl
| sQ154_spl ),
inference(split_clause,[status(thm)],[f18340,f1005,f321,f273]) ).
fof(f18342,plain,
( ~ sQ40_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f212,f748]) ).
fof(f18343,plain,
( ~ sQ40_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f212,f747]) ).
fof(f18344,plain,
( ~ sQ334_spl
| ~ sQ40_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f212,f3484]) ).
fof(f18345,plain,
( ~ sQ40_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f212,f746]) ).
fof(f18346,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ40_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f212,f2156]) ).
fof(f18347,plain,
! [X0] :
( ~ sQ100_spl
| ~ sQ40_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f212,f2155]) ).
fof(f18348,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ40_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f212,f699]) ).
fof(f18357,plain,
( ~ sQ100_spl
| ~ sQ40_spl
| sQ154_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f18346,f4190,f1005,f211,f418]) ).
fof(f18358,plain,
( ~ sQ100_spl
| ~ sQ40_spl
| sQ167_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f18347,f4190,f1137,f211,f418]) ).
fof(f18359,plain,
( ~ sQ5_spl
| ~ sQ40_spl
| sQ140_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f18348,f761,f799,f211,f94]) ).
fof(f18367,plain,
( ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f95,f697]) ).
fof(f18368,plain,
( ~ sQ5_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f95,f696]) ).
fof(f18370,plain,
( ~ sQ5_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f95,f695]) ).
fof(f18388,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f18389,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f18390,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f18391,plain,
( ~ sQ320_spl
| ~ sQ34_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f192,f3237]) ).
fof(f18392,plain,
! [X0] :
( ~ sQ64_spl
| ~ sQ34_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f192,f1184]) ).
fof(f18409,plain,
( ~ sQ64_spl
| ~ sQ34_spl
| sQ288_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f18392,f1186,f2546,f191,f292]) ).
fof(f18421,plain,
( ~ sQ82_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f356,f1610]) ).
fof(f18422,plain,
( ~ sQ82_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f356,f1609]) ).
fof(f18423,plain,
( ~ sQ375_spl
| ~ sQ82_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f356,f4458]) ).
fof(f18424,plain,
( ~ sQ266_spl
| ~ sQ82_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f356,f2250]) ).
fof(f18425,plain,
( ~ sQ82_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f356,f1608]) ).
fof(f18447,plain,
( ~ sQ106_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f438,f2105]) ).
fof(f18448,plain,
( ~ sQ106_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f438,f2104]) ).
fof(f18449,plain,
( ~ sQ106_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f438,f2103]) ).
fof(f18450,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ106_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f438,f582]) ).
fof(f18451,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ106_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f438,f581]) ).
fof(f18469,plain,
( ~ sQ16_spl
| ~ sQ106_spl
| sQ169_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f18450,f2124,f1144,f437,f129]) ).
fof(f18470,plain,
( ~ sQ16_spl
| ~ sQ106_spl
| sQ156_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f18451,f2124,f1015,f437,f129]) ).
fof(f18483,plain,
( ~ sQ100_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f419,f2154]) ).
fof(f18484,plain,
( ~ sQ100_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f419,f2153]) ).
fof(f18485,plain,
( ~ sQ100_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f419,f2152]) ).
fof(f18486,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ100_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f419,f1062]) ).
fof(f18487,plain,
! [X0] :
( ~ sQ70_spl
| ~ sQ100_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f419,f1063]) ).
fof(f18497,plain,
( ~ sQ70_spl
| ~ sQ100_spl
| sQ188_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f18486,f2210,f1394,f418,f312]) ).
fof(f18498,plain,
( ~ sQ70_spl
| ~ sQ100_spl
| sQ228_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f18487,f2210,f1809,f418,f312]) ).
fof(f18503,plain,
( ~ sQ31_spl
| ~ sQ460_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f17403,f169,f10780,f182]) ).
fof(f18504,plain,
( ~ sQ31_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f183,f942]) ).
fof(f18505,plain,
( ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f183,f941]) ).
fof(f18506,plain,
( ~ sQ348_spl
| ~ sQ31_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f183,f3810]) ).
fof(f18507,plain,
( ~ sQ31_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f183,f940]) ).
fof(f18510,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ31_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f183,f1584]) ).
fof(f18511,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ31_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f183,f1585]) ).
fof(f18512,plain,
! [X0] :
( ~ sQ91_spl
| ~ sQ31_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f183,f2368]) ).
fof(f18527,plain,
( ~ sQ86_spl
| ~ sQ31_spl
| sQ288_spl
| sQ448_spl ),
inference(split_clause,[status(thm)],[f18510,f9034,f2546,f182,f368]) ).
fof(f18528,plain,
( ~ sQ86_spl
| ~ sQ31_spl
| sQ156_spl
| sQ448_spl ),
inference(split_clause,[status(thm)],[f18511,f9034,f1015,f182,f368]) ).
fof(f18529,plain,
( ~ sQ91_spl
| ~ sQ31_spl
| sQ156_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f18512,f1489,f1015,f182,f384]) ).
fof(f18537,plain,
( ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f221,f733]) ).
fof(f18538,plain,
( ~ sQ43_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f221,f732]) ).
fof(f18539,plain,
( ~ sQ43_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f221,f731]) ).
fof(f18550,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ58_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1287,f221]) ).
fof(f18551,plain,
( ~ sQ43_spl
| ~ sQ58_spl
| sQ288_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f18550,f1319,f2546,f273,f220]) ).
fof(f18552,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ58_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1286,f221]) ).
fof(f18553,plain,
( ~ sQ43_spl
| ~ sQ58_spl
| sQ134_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f18552,f1319,f764,f273,f220]) ).
fof(f18554,plain,
( ~ sQ43_spl
| ~ sQ186_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f1320,f221]) ).
fof(f18559,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ118_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1884,f221]) ).
fof(f18560,plain,
( ~ sQ43_spl
| ~ sQ118_spl
| sQ154_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f18559,f7768,f1005,f475,f220]) ).
fof(f18561,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ118_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1883,f221]) ).
fof(f18562,plain,
( ~ sQ43_spl
| ~ sQ118_spl
| sQ128_spl
| sQ439_spl ),
inference(split_clause,[status(thm)],[f18561,f7768,f553,f475,f220]) ).
fof(f18563,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ28_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f13146,f221]) ).
fof(f18564,plain,
( ~ sQ43_spl
| ~ sQ28_spl
| sQ167_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f18563,f2551,f1137,f172,f220]) ).
fof(f18565,plain,
( ~ sQ289_spl
| ~ sQ43_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f3056,f172,f220,f2551]) ).
fof(f18570,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f530]) ).
fof(f18571,plain,
( ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f529]) ).
fof(f18574,plain,
( ~ sQ21_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f528]) ).
fof(f18600,plain,
( ~ sQ86_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f369,f1583]) ).
fof(f18601,plain,
( ~ sQ86_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f369,f1582]) ).
fof(f18602,plain,
( ~ sQ373_spl
| ~ sQ86_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f369,f4442]) ).
fof(f18603,plain,
( ~ sQ357_spl
| ~ sQ86_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f369,f4000]) ).
fof(f18604,plain,
( ~ sQ86_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f369,f1581]) ).
fof(f18605,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ86_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f369,f9943]) ).
fof(f18606,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ86_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f369,f9942]) ).
fof(f18608,plain,
! [X0] :
( ~ sQ61_spl
| ~ sQ86_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f369,f1230]) ).
fof(f18609,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ86_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f369,f2107]) ).
fof(f18610,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ86_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f369,f2106]) ).
fof(f18620,plain,
( ~ sQ26_spl
| ~ sQ86_spl
| sQ134_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f18605,f4441,f764,f368,f166]) ).
fof(f18621,plain,
( ~ sQ26_spl
| ~ sQ86_spl
| sQ158_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f18606,f4441,f1043,f368,f166]) ).
fof(f18623,plain,
( ~ sQ61_spl
| ~ sQ86_spl
| sQ130_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f18608,f1562,f643,f368,f283]) ).
fof(f18624,plain,
( ~ sQ106_spl
| ~ sQ86_spl
| sQ146_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f18609,f3999,f827,f368,f437]) ).
fof(f18625,plain,
( ~ sQ106_spl
| ~ sQ86_spl
| sQ163_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f18610,f3999,f1115,f368,f437]) ).
fof(f18631,plain,
( ~ sQ21_spl
| ~ sQ431_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f7244,f146]) ).
fof(f18632,plain,
( ~ sQ86_spl
| ~ sQ206_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f1563,f369]) ).
fof(f18633,plain,
( ~ sQ86_spl
| ~ sQ61_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f5956,f369]) ).
fof(f18634,plain,
( ~ sQ86_spl
| ~ sQ61_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f18633,f1521,f283,f368]) ).
fof(f18635,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ71_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1058,f369]) ).
fof(f18636,plain,
( ~ sQ86_spl
| ~ sQ71_spl
| sQ203_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f18635,f3440,f1521,f315,f368]) ).
fof(f18637,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ71_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1057,f369]) ).
fof(f18638,plain,
( ~ sQ86_spl
| ~ sQ71_spl
| sQ144_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f18637,f3440,f820,f315,f368]) ).
fof(f18643,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ16_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f581,f369]) ).
fof(f18644,plain,
( ~ sQ86_spl
| ~ sQ16_spl
| sQ177_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f18643,f4089,f1208,f129,f368]) ).
fof(f18645,plain,
! [X0] :
( ~ sQ86_spl
| ~ sQ16_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f582,f369]) ).
fof(f18646,plain,
( ~ sQ86_spl
| ~ sQ16_spl
| sQ167_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f18645,f4089,f1137,f129,f368]) ).
fof(f18647,plain,
( ~ sQ5_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f95,f697]) ).
fof(f18648,plain,
( ~ sQ5_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f95,f696]) ).
fof(f18649,plain,
( ~ sQ5_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f95,f695]) ).
fof(f18676,plain,
( ~ sQ34_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f192,f907]) ).
fof(f18677,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f906]) ).
fof(f18678,plain,
( ~ sQ34_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f905]) ).
fof(f18705,plain,
( ~ sQ82_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f356,f1610]) ).
fof(f18706,plain,
( ~ sQ82_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f356,f1609]) ).
fof(f18707,plain,
( ~ sQ82_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f356,f1608]) ).
fof(f18737,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f9930]) ).
fof(f18738,plain,
( ~ sQ45_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f228,f9929]) ).
fof(f18740,plain,
( ~ sQ246_spl
| ~ sQ45_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f228,f2024]) ).
fof(f18741,plain,
( ~ sQ45_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f228,f9928]) ).
fof(f18743,plain,
( ~ sQ276_spl
| ~ sQ45_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f228,f2324]) ).
fof(f18769,plain,
( ~ sQ90_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f382,f1536]) ).
fof(f18770,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f382,f1535]) ).
fof(f18771,plain,
( ~ sQ334_spl
| ~ sQ90_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f382,f3484]) ).
fof(f18772,plain,
( ~ sQ90_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f382,f1534]) ).
fof(f18773,plain,
! [X0] :
( ~ sQ60_spl
| ~ sQ90_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f382,f1260]) ).
fof(f18788,plain,
( ~ sQ60_spl
| ~ sQ90_spl
| sQ203_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f18773,f3965,f1521,f381,f280]) ).
fof(f18798,plain,
( ~ sQ106_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f438,f2105]) ).
fof(f18799,plain,
( ~ sQ106_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f438,f2104]) ).
fof(f18800,plain,
( ~ sQ106_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f438,f2103]) ).
fof(f18801,plain,
( ~ sQ274_spl
| ~ sQ106_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f438,f2301]) ).
fof(f18832,plain,
( ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f274,f1285]) ).
fof(f18833,plain,
( ~ sQ58_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f274,f1284]) ).
fof(f18834,plain,
( ~ sQ58_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f274,f1283]) ).
fof(f18835,plain,
( ~ sQ225_spl
| ~ sQ58_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f274,f1766]) ).
fof(f18853,plain,
( ~ sQ79_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f346,f1629]) ).
fof(f18854,plain,
( ~ sQ79_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f346,f1628]) ).
fof(f18855,plain,
( ~ sQ79_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f346,f1627]) ).
fof(f18856,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ79_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f346,f1876]) ).
fof(f18857,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ79_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f346,f1877]) ).
fof(f18858,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ79_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f346,f604]) ).
fof(f18859,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ79_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f346,f603]) ).
fof(f18860,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ79_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f346,f501]) ).
fof(f18861,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ79_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f346,f502]) ).
fof(f18871,plain,
( ~ sQ119_spl
| ~ sQ79_spl
| sQ195_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f18856,f1928,f1429,f345,f478]) ).
fof(f18872,plain,
( ~ sQ119_spl
| ~ sQ79_spl
| sQ146_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f18857,f1928,f827,f345,f478]) ).
fof(f18873,plain,
( ~ sQ14_spl
| ~ sQ79_spl
| sQ167_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f18858,f1715,f1137,f345,f122]) ).
fof(f18874,plain,
( ~ sQ14_spl
| ~ sQ79_spl
| sQ220_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f18859,f1715,f1718,f345,f122]) ).
fof(f18875,plain,
( ~ sQ24_spl
| ~ sQ79_spl
| sQ188_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f18860,f1755,f1394,f345,f154]) ).
fof(f18876,plain,
( ~ sQ24_spl
| ~ sQ79_spl
| sQ167_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f18861,f1755,f1137,f345,f154]) ).
fof(f18881,plain,
( ~ sQ90_spl
| ~ sQ233_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f1929,f382]) ).
fof(f18882,plain,
( ~ sQ98_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f407,f1369]) ).
fof(f18883,plain,
( ~ sQ98_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f407,f1368]) ).
fof(f18884,plain,
( ~ sQ98_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f407,f1367]) ).
fof(f18885,plain,
( ~ sQ180_spl
| ~ sQ98_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f407,f1246]) ).
fof(f18888,plain,
( ~ sQ135_spl
| ~ sQ98_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f407,f769]) ).
fof(f18906,plain,
( ~ sQ26_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f167,f997]) ).
fof(f18907,plain,
( ~ sQ26_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f167,f996]) ).
fof(f18908,plain,
( ~ sQ26_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f995]) ).
fof(f18938,plain,
( ~ sQ100_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f419,f2154]) ).
fof(f18939,plain,
( ~ sQ100_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f419,f2153]) ).
fof(f18940,plain,
( ~ sQ100_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f419,f2152]) ).
fof(f18966,plain,
( ~ sQ2_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f85,f2241]) ).
fof(f18967,plain,
( ~ sQ2_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f85,f2240]) ).
fof(f18968,plain,
( ~ sQ52_spl
| ~ sQ2_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f85,f1339]) ).
fof(f18969,plain,
( ~ sQ2_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f85,f2239]) ).
fof(f18976,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ2_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f85,f1343]) ).
fof(f18977,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ2_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f85,f1342]) ).
fof(f18980,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ2_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f85,f1612]) ).
fof(f18981,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ2_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f85,f1611]) ).
fof(f18987,plain,
( ~ sQ52_spl
| ~ sQ2_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f18968,f1718,f84,f254]) ).
fof(f18994,plain,
( ~ sQ52_spl
| ~ sQ2_spl
| sQ220_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f18976,f2295,f1718,f84,f254]) ).
fof(f18995,plain,
( ~ sQ52_spl
| ~ sQ2_spl
| sQ138_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f18977,f2295,f786,f84,f254]) ).
fof(f18998,plain,
( ~ sQ82_spl
| ~ sQ2_spl
| sQ195_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f18980,f2300,f1429,f84,f355]) ).
fof(f18999,plain,
( ~ sQ82_spl
| ~ sQ2_spl
| sQ199_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f18981,f2300,f1450,f84,f355]) ).
fof(f19000,plain,
( ~ sQ82_spl
| ~ sQ457_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f10279,f356]) ).
fof(f19001,plain,
( ~ sQ34_spl
| ~ sQ315_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f3206,f192]) ).
fof(f19035,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ74_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1030,f346]) ).
fof(f19037,plain,
( ~ sQ79_spl
| ~ sQ74_spl
| sQ188_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f19035,f3816,f1394,f324,f345]) ).
fof(f19039,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ74_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1031,f346]) ).
fof(f19041,plain,
( ~ sQ79_spl
| ~ sQ74_spl
| sQ203_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f19039,f3816,f1521,f324,f345]) ).
fof(f19042,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ99_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1361,f192]) ).
fof(f19043,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ99_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1361,f346]) ).
fof(f19044,plain,
( ~ sQ34_spl
| ~ sQ99_spl
| sQ156_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f19042,f2984,f1015,f409,f191]) ).
fof(f19045,plain,
( ~ sQ79_spl
| ~ sQ99_spl
| sQ128_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f19043,f1745,f553,f409,f345]) ).
fof(f19050,plain,
( ~ sQ122_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f489,f1844]) ).
fof(f19051,plain,
( ~ sQ112_spl
| ~ sQ122_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f489,f2019]) ).
fof(f19052,plain,
( ~ sQ122_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f489,f1843]) ).
fof(f19053,plain,
( ~ sQ349_spl
| ~ sQ122_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f489,f3817]) ).
fof(f19054,plain,
( ~ sQ306_spl
| ~ sQ122_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f489,f2980]) ).
fof(f19055,plain,
( ~ sQ368_spl
| ~ sQ122_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f489,f4257]) ).
fof(f19056,plain,
( ~ sQ122_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f489,f1842]) ).
fof(f19058,plain,
! [X0] :
( ~ sQ112_spl
| ~ sQ122_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f489,f2021]) ).
fof(f19072,plain,
( ~ sQ112_spl
| ~ sQ122_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f19051,f1809,f488,f456]) ).
fof(f19074,plain,
( ~ sQ112_spl
| ~ sQ122_spl
| sQ228_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f19058,f2023,f1809,f488,f456]) ).
fof(f19083,plain,
( ~ sQ45_spl
| ~ sQ227_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f1807,f228]) ).
fof(f19096,plain,
! [X0] :
( ~ sQ122_spl
| ~ sQ62_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f14156,f489]) ).
fof(f19097,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ62_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f14156,f85]) ).
fof(f19098,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ62_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f14156,f356]) ).
fof(f19099,plain,
( ~ sQ122_spl
| ~ sQ62_spl
| sQ228_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f19096,f1806,f1809,f286,f488]) ).
fof(f19100,plain,
( ~ sQ2_spl
| ~ sQ62_spl
| sQ220_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f19097,f4754,f1718,f286,f84]) ).
fof(f19101,plain,
( ~ sQ82_spl
| ~ sQ62_spl
| sQ288_spl
| sQ467_spl ),
inference(split_clause,[status(thm)],[f19098,f13286,f2546,f286,f355]) ).
fof(f19104,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ62_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f14157,f356]) ).
fof(f19107,plain,
( ~ sQ82_spl
| ~ sQ62_spl
| sQ203_spl
| sQ467_spl ),
inference(split_clause,[status(thm)],[f19104,f13286,f1521,f286,f355]) ).
fof(f19108,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f755]) ).
fof(f19109,plain,
( ~ sQ38_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f205,f754]) ).
fof(f19111,plain,
( ~ sQ38_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f205,f753]) ).
fof(f19112,plain,
( ~ sQ322_spl
| ~ sQ38_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f205,f3281]) ).
fof(f19138,plain,
( ~ sQ42_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f218,f738]) ).
fof(f19139,plain,
( ~ sQ42_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f218,f737]) ).
fof(f19140,plain,
( ~ sQ42_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f218,f736]) ).
fof(f19141,plain,
( ~ sQ454_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f218,f10098]) ).
fof(f19143,plain,
( ~ sQ391_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f218,f4806]) ).
fof(f19169,plain,
( ~ sQ66_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f300,f1078]) ).
fof(f19170,plain,
( ~ sQ66_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f300,f1077]) ).
fof(f19171,plain,
( ~ sQ386_spl
| ~ sQ66_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f300,f4715]) ).
fof(f19172,plain,
( ~ sQ202_spl
| ~ sQ66_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f300,f1519]) ).
fof(f19173,plain,
( ~ sQ66_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f300,f1076]) ).
fof(f19174,plain,
( ~ sQ321_spl
| ~ sQ66_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f300,f3244]) ).
fof(f19181,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ66_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f300,f2107]) ).
fof(f19182,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ66_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f300,f2106]) ).
fof(f19196,plain,
( ~ sQ106_spl
| ~ sQ66_spl
| sQ144_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f19181,f4805,f820,f299,f437]) ).
fof(f19197,plain,
( ~ sQ106_spl
| ~ sQ66_spl
| sQ134_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f19182,f4805,f764,f299,f437]) ).
fof(f19200,plain,
( ~ sQ14_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f123,f602]) ).
fof(f19201,plain,
( ~ sQ14_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f123,f601]) ).
fof(f19202,plain,
( ~ sQ219_spl
| ~ sQ14_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f123,f1716]) ).
fof(f19203,plain,
( ~ sQ14_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f123,f600]) ).
fof(f19204,plain,
( ~ sQ308_spl
| ~ sQ14_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f123,f2990]) ).
fof(f19207,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ14_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f123,f1876]) ).
fof(f19208,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ14_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f123,f1877]) ).
fof(f19211,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ14_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f123,f1631]) ).
fof(f19212,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ14_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f123,f1630]) ).
fof(f19222,plain,
( ~ sQ119_spl
| ~ sQ14_spl
| sQ177_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f19207,f2864,f1208,f122,f478]) ).
fof(f19223,plain,
( ~ sQ119_spl
| ~ sQ14_spl
| sQ188_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f19208,f2864,f1394,f122,f478]) ).
fof(f19226,plain,
( ~ sQ79_spl
| ~ sQ14_spl
| sQ195_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f19211,f1715,f1429,f122,f345]) ).
fof(f19227,plain,
( ~ sQ79_spl
| ~ sQ14_spl
| sQ158_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f19212,f1715,f1043,f122,f345]) ).
fof(f19230,plain,
( ~ sQ90_spl
| ~ sQ303_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f2865,f382]) ).
fof(f19231,plain,
( ~ sQ119_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f479,f1875]) ).
fof(f19232,plain,
( ~ sQ119_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f479,f1874]) ).
fof(f19233,plain,
( ~ sQ214_spl
| ~ sQ119_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f479,f1677]) ).
fof(f19235,plain,
( ~ sQ255_spl
| ~ sQ119_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f479,f2159]) ).
fof(f19236,plain,
( ~ sQ119_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f479,f1873]) ).
fof(f19237,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ119_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f479,f1031]) ).
fof(f19238,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ119_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f479,f1030]) ).
fof(f19240,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f479,f1877]) ).
fof(f19241,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ119_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f479,f604]) ).
fof(f19242,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ119_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f479,f603]) ).
fof(f19243,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ119_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f479,f1631]) ).
fof(f19244,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ119_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f479,f1630]) ).
fof(f19245,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ119_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f479,f908]) ).
fof(f19246,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ119_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f479,f909]) ).
fof(f19252,plain,
( ~ sQ74_spl
| ~ sQ119_spl
| sQ228_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f19237,f5512,f1809,f478,f324]) ).
fof(f19253,plain,
( ~ sQ74_spl
| ~ sQ119_spl
| sQ146_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f19238,f5512,f827,f478,f324]) ).
fof(f19255,plain,
( ~ sQ119_spl
| sQ126_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f19240,f1964,f507,f478]) ).
fof(f19256,plain,
( ~ sQ14_spl
| ~ sQ119_spl
| sQ169_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f19241,f2864,f1144,f478,f122]) ).
fof(f19257,plain,
( ~ sQ14_spl
| ~ sQ119_spl
| sQ203_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f19242,f2864,f1521,f478,f122]) ).
fof(f19258,plain,
( ~ sQ79_spl
| ~ sQ119_spl
| sQ149_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f19243,f1928,f846,f478,f345]) ).
fof(f19259,plain,
( ~ sQ79_spl
| ~ sQ119_spl
| sQ167_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f19244,f1928,f1137,f478,f345]) ).
fof(f19260,plain,
( ~ sQ34_spl
| ~ sQ119_spl
| sQ134_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f19245,f3483,f764,f478,f191]) ).
fof(f19261,plain,
( ~ sQ34_spl
| ~ sQ119_spl
| sQ136_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f19246,f3483,f771,f478,f191]) ).
fof(f19262,plain,
( ~ sQ122_spl
| ~ sQ405_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f5513,f489]) ).
fof(f19263,plain,
( ~ sQ21_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f146,f530]) ).
fof(f19264,plain,
( ~ sQ21_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f146,f529]) ).
fof(f19265,plain,
( ~ sQ21_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f146,f528]) ).
fof(f19268,plain,
( ~ sQ259_spl
| ~ sQ21_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f146,f2190]) ).
fof(f19269,plain,
( ~ sQ256_spl
| ~ sQ21_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f146,f2177]) ).
fof(f19295,plain,
( ~ sQ18_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f136,f562]) ).
fof(f19296,plain,
( ~ sQ18_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f136,f561]) ).
fof(f19297,plain,
( ~ sQ335_spl
| ~ sQ18_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f136,f3520]) ).
fof(f19298,plain,
( ~ sQ18_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f136,f560]) ).
fof(f19300,plain,
( ~ sQ367_spl
| ~ sQ18_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f136,f4198]) ).
fof(f19326,plain,
( ~ sQ50_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f249,f1351]) ).
fof(f19327,plain,
( ~ sQ50_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f249,f1350]) ).
fof(f19328,plain,
( ~ sQ50_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f249,f1349]) ).
fof(f19329,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ50_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f249,f2061]) ).
fof(f19330,plain,
! [X0] :
( ~ sQ110_spl
| ~ sQ50_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f249,f2062]) ).
fof(f19337,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ50_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f249,f699]) ).
fof(f19338,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ50_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f249,f698]) ).
fof(f19344,plain,
( ~ sQ110_spl
| ~ sQ50_spl
| sQ220_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f19329,f2078,f1718,f248,f450]) ).
fof(f19345,plain,
( ~ sQ110_spl
| ~ sQ50_spl
| sQ144_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f19330,f2078,f820,f248,f450]) ).
fof(f19352,plain,
( ~ sQ5_spl
| ~ sQ50_spl
| sQ158_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f19337,f3205,f1043,f248,f94]) ).
fof(f19353,plain,
( ~ sQ5_spl
| ~ sQ50_spl
| sQ199_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f19338,f3205,f1450,f248,f94]) ).
fof(f19354,plain,
( ~ sQ103_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f428,f2136]) ).
fof(f19355,plain,
( ~ sQ103_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f428,f2135]) ).
fof(f19356,plain,
( ~ sQ103_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f428,f2134]) ).
fof(f19382,plain,
( ~ sQ74_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f325,f1029]) ).
fof(f19383,plain,
( ~ sQ74_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f325,f1028]) ).
fof(f19384,plain,
( ~ sQ74_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f325,f1027]) ).
fof(f19385,plain,
( ~ sQ159_spl
| ~ sQ74_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f325,f1094]) ).
fof(f19386,plain,
( ~ sQ283_spl
| ~ sQ74_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f325,f2462]) ).
fof(f19387,plain,
( ~ sQ207_spl
| ~ sQ74_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f325,f1587]) ).
fof(f19388,plain,
( ~ sQ245_spl
| ~ sQ74_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f325,f2005]) ).
fof(f19391,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ74_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f325,f1876]) ).
fof(f19392,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ74_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f325,f1877]) ).
fof(f19393,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ74_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f325,f604]) ).
fof(f19394,plain,
! [X0] :
( ~ sQ14_spl
| ~ sQ74_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f325,f603]) ).
fof(f19395,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ74_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f325,f1631]) ).
fof(f19396,plain,
! [X0] :
( ~ sQ79_spl
| ~ sQ74_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f325,f1630]) ).
fof(f19397,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ74_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f325,f908]) ).
fof(f19398,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ74_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f325,f909]) ).
fof(f19406,plain,
( ~ sQ119_spl
| ~ sQ74_spl
| sQ149_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f19391,f5512,f846,f324,f478]) ).
fof(f19407,plain,
( ~ sQ119_spl
| ~ sQ74_spl
| sQ144_spl
| sQ405_spl ),
inference(split_clause,[status(thm)],[f19392,f5512,f820,f324,f478]) ).
fof(f19408,plain,
( ~ sQ14_spl
| ~ sQ74_spl
| sQ158_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f19393,f4256,f1043,f324,f122]) ).
fof(f19409,plain,
( ~ sQ14_spl
| ~ sQ74_spl
| sQ228_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f19394,f4256,f1809,f324,f122]) ).
fof(f19410,plain,
( ~ sQ79_spl
| ~ sQ74_spl
| sQ177_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f19395,f3816,f1208,f324,f345]) ).
fof(f19411,plain,
( ~ sQ79_spl
| ~ sQ74_spl
| sQ169_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f19396,f3816,f1144,f324,f345]) ).
fof(f19412,plain,
( ~ sQ34_spl
| ~ sQ74_spl
| sQ136_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f19397,f2979,f771,f324,f191]) ).
fof(f19413,plain,
( ~ sQ34_spl
| ~ sQ74_spl
| sQ163_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f19398,f2979,f1115,f324,f191]) ).
fof(f19414,plain,
( ~ sQ98_spl
| equalish(e_4,e_4) ),
inference(resolution,[status(thm)],[f407,f1369]) ).
fof(f19415,plain,
( ~ sQ98_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f407,f1368]) ).
fof(f19416,plain,
( ~ sQ443_spl
| ~ sQ98_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f407,f8488]) ).
fof(f19417,plain,
( ~ sQ98_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f407,f1367]) ).
fof(f19418,plain,
( ~ sQ197_spl
| ~ sQ98_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f407,f1443]) ).
fof(f19420,plain,
( ~ sQ135_spl
| ~ sQ98_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f407,f769]) ).
fof(f19446,plain,
( ~ sQ110_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f451,f2060]) ).
fof(f19447,plain,
( ~ sQ110_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f451,f2059]) ).
fof(f19448,plain,
( ~ sQ110_spl
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f451,f2058]) ).
fof(f19449,plain,
( ~ sQ252_spl
| ~ sQ110_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f451,f2079]) ).
fof(f19450,plain,
( ~ sQ249_spl
| ~ sQ110_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f451,f2064]) ).
fof(f19455,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ110_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f451,f1537]) ).
fof(f19456,plain,
! [X0] :
( ~ sQ90_spl
| ~ sQ110_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f451,f1538]) ).
fof(f19457,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ110_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f451,f727]) ).
fof(f19458,plain,
! [X0] :
( ~ sQ45_spl
| ~ sQ110_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f451,f728]) ).
fof(f19470,plain,
( ~ sQ90_spl
| ~ sQ110_spl
| sQ177_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f19455,f4714,f1208,f450,f381]) ).
fof(f19471,plain,
( ~ sQ90_spl
| ~ sQ110_spl
| sQ149_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f19456,f4714,f846,f450,f381]) ).
fof(f19472,plain,
( ~ sQ45_spl
| ~ sQ110_spl
| sQ144_spl
| sQ443_spl ),
inference(split_clause,[status(thm)],[f19457,f8487,f820,f450,f227]) ).
fof(f19473,plain,
( ~ sQ45_spl
| ~ sQ110_spl
| sQ136_spl
| sQ443_spl ),
inference(split_clause,[status(thm)],[f19458,f8487,f771,f450,f227]) ).
fof(f19476,plain,
( ~ sQ62_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f287,f14155]) ).
fof(f19477,plain,
( ~ sQ62_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f287,f14154]) ).
fof(f19478,plain,
( ~ sQ62_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f287,f14153]) ).
fof(f19479,plain,
( ~ sQ388_spl
| ~ sQ62_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f287,f4755]) ).
fof(f19480,plain,
( ~ sQ467_spl
| ~ sQ62_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f287,f13287]) ).
fof(f19481,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f287,f14157]) ).
fof(f19483,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ62_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f287,f740]) ).
fof(f19484,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ62_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f287,f739]) ).
fof(f19487,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ62_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f287,f2243]) ).
fof(f19489,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ62_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f287,f1612]) ).
fof(f19490,plain,
! [X0] :
( ~ sQ82_spl
| ~ sQ62_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f287,f1611]) ).
fof(f19496,plain,
( ~ sQ62_spl
| sQ130_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f19481,f1192,f643,f286]) ).
fof(f19498,plain,
( ~ sQ42_spl
| ~ sQ62_spl
| sQ163_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f19483,f3519,f1115,f286,f217]) ).
fof(f19499,plain,
( ~ sQ42_spl
| ~ sQ62_spl
| sQ177_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f19484,f3519,f1208,f286,f217]) ).
fof(f19502,plain,
( ~ sQ2_spl
| ~ sQ62_spl
| sQ158_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f19487,f4754,f1043,f286,f84]) ).
fof(f19504,plain,
( ~ sQ82_spl
| ~ sQ62_spl
| sQ177_spl
| sQ467_spl ),
inference(split_clause,[status(thm)],[f19489,f13286,f1208,f286,f355]) ).
fof(f19505,plain,
( ~ sQ82_spl
| ~ sQ62_spl
| sQ163_spl
| sQ467_spl ),
inference(split_clause,[status(thm)],[f19490,f13286,f1115,f286,f355]) ).
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
| sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| sQ38_spl
| ~ sQ39_spl
| ~ sQ40_spl
| ~ sQ41_spl
| sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| sQ45_spl
| ~ sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| ~ sQ49_spl
| sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| sQ58_spl
| ~ sQ59_spl
| ~ sQ60_spl
| ~ sQ61_spl
| sQ62_spl
| ~ sQ63_spl
| ~ sQ64_spl
| ~ 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
| ~ 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
| sQ126_spl
| sQ128_spl
| sQ130_spl
| sQ132_spl
| ~ sQ134_spl
| sQ135_spl
| ~ sQ136_spl
| sQ138_spl
| ~ sQ140_spl
| ~ sQ144_spl
| ~ sQ145_spl
| ~ sQ146_spl
| ~ sQ147_spl
| ~ sQ148_spl
| ~ sQ149_spl
| ~ sQ150_spl
| ~ sQ151_spl
| ~ sQ153_spl
| ~ sQ154_spl
| ~ sQ156_spl
| ~ sQ158_spl
| sQ159_spl
| ~ sQ163_spl
| ~ sQ164_spl
| sQ166_spl
| ~ sQ167_spl
| ~ sQ168_spl
| ~ sQ169_spl
| ~ sQ175_spl
| ~ sQ177_spl
| ~ sQ188_spl
| sQ190_spl
| ~ sQ195_spl
| sQ197_spl
| ~ sQ199_spl
| sQ202_spl
| ~ sQ203_spl
| sQ207_spl
| ~ sQ212_spl
| sQ213_spl
| sQ214_spl
| ~ sQ218_spl
| sQ219_spl
| ~ sQ220_spl
| ~ sQ222_spl
| sQ225_spl
| sQ227_spl
| ~ sQ228_spl
| sQ233_spl
| ~ sQ234_spl
| ~ sQ235_spl
| sQ245_spl
| sQ249_spl
| sQ252_spl
| sQ255_spl
| sQ256_spl
| ~ sQ257_spl
| sQ259_spl
| ~ sQ261_spl
| ~ sQ266_spl
| sQ272_spl
| sQ274_spl
| ~ sQ275_spl
| sQ276_spl
| ~ sQ278_spl
| sQ283_spl
| sQ285_spl
| sQ286_spl
| ~ sQ287_spl
| ~ sQ288_spl
| sQ291_spl
| sQ303_spl
| sQ306_spl
| sQ308_spl
| ~ sQ313_spl
| sQ315_spl
| ~ sQ318_spl
| ~ sQ319_spl
| sQ321_spl
| sQ322_spl
| ~ sQ327_spl
| sQ334_spl
| sQ335_spl
| ~ sQ347_spl
| sQ349_spl
| sQ357_spl
| sQ359_spl
| ~ sQ365_spl
| sQ367_spl
| sQ368_spl
| ~ sQ372_spl
| sQ373_spl
| ~ sQ380_spl
| sQ386_spl
| sQ388_spl
| sQ391_spl
| sQ405_spl
| ~ sQ410_spl
| sQ421_spl
| ~ sQ423_spl
| sQ425_spl
| sQ443_spl
| ~ sQ450_spl
| sQ454_spl
| sQ457_spl
| sQ467_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP131-1.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/11.00 % Computer : n010.cluster.edu
% 0.09/11.00 % Model : x86_64 x86_64
% 0.09/11.00 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/11.00 % Memory : 8046.5625MB
% 0.09/11.00 % OS : Linux 6.8.0-71-generic
% 0.09/11.00 % CPULimit : 300
% 0.09/11.00 % WCLimit : 300
% 0.09/11.00 % DateTime : Sun Sep 20 20:01:39 UTC 2026
% 0.09/11.00 % CPUTime :
% 0.09/11.01 % Drodi V4.1.1
% 15.77/48.38 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 15.77/48.38 % SZS output start Saturation for theBenchmark
% See solution above
% 15.85/48.52 % Elapsed time: 37.507203 seconds
% 15.85/48.52 % CPU time: 294.895928 seconds
% 15.85/48.52 % Total memory used: 194.436 MB
% 15.85/48.52 % Net memory used: 143.923 MB
%------------------------------------------------------------------------------