%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP127-1.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:35:52 PM UTC 2026
% Result : Satisfiable 0.13s 0.65s
% Output : Saturation 0.29s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] :
( product(X,Y,e_5)
| product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [Y,X,Z1,Z2] :
( product(Z2,Y,X)
| ~ product(Z1,Y,Z2)
| ~ product(Y,X,Z1) ),
file('/export/starexec/sandbox2/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,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f65,plain,
! [Y,X,Z2] :
( product(Z2,Y,X)
| ! [Z1] :
( ~ product(Z1,Y,Z2)
| ~ product(Y,X,Z1) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( product(X3,X0,X1)
| ~ product(X2,X0,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f64,f61]) ).
fof(f68,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f64,f59]) ).
fof(f69,plain,
! [X0,X1] :
( product(X1,X0,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f64,f66]) ).
fof(f70,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f67,f64]) ).
fof(f71,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f63,f64]) ).
fof(f75,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(f76,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(f77,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(f78,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(f79,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(f80,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)],[f75,f36]) ).
fof(f81,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)],[f75,f35]) ).
fof(f82,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)],[f75,f34]) ).
fof(f83,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)],[f75,f33]) ).
fof(f84,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)],[f75,f32]) ).
fof(f85,definition,
( sQ0_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ0_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,definition,
( sQ1_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f89,plain,
( ~ sQ1_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,definition,
( sQ2_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( ~ sQ2_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f94,definition,
( sQ3_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f95,plain,
( ~ sQ3_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f97,definition,
( sQ4_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f80,f85,f88,f91,f94,f97]) ).
fof(f101,definition,
( sQ5_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( ~ sQ5_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f103,plain,
( sQ5_spl
| ~ product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,definition,
( sQ6_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f105,plain,
( ~ sQ6_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f106,plain,
( sQ6_spl
| ~ product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,definition,
( sQ7_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( ~ sQ7_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f109,plain,
( sQ7_spl
| ~ product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f110,definition,
( sQ8_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f111,plain,
( ~ sQ8_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f112,plain,
( sQ8_spl
| ~ product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,definition,
( sQ9_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( ~ sQ9_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f115,plain,
( sQ9_spl
| ~ product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f81,f101,f104,f107,f110,f113]) ).
fof(f117,definition,
( sQ10_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ10_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f119,plain,
( sQ10_spl
| ~ product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,definition,
( sQ11_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f121,plain,
( ~ sQ11_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f122,plain,
( sQ11_spl
| ~ product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,definition,
( sQ12_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( ~ sQ12_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f125,plain,
( sQ12_spl
| ~ product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,definition,
( sQ13_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f127,plain,
( ~ sQ13_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f128,plain,
( sQ13_spl
| ~ product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,definition,
( sQ14_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ14_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f131,plain,
( sQ14_spl
| ~ product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f82,f117,f120,f123,f126,f129]) ).
fof(f133,definition,
( sQ15_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( ~ sQ15_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f135,plain,
( sQ15_spl
| ~ product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f136,definition,
( sQ16_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( ~ sQ16_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f138,plain,
( sQ16_spl
| ~ product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f139,definition,
( sQ17_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( ~ sQ17_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f141,plain,
( sQ17_spl
| ~ product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,definition,
( sQ18_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f143,plain,
( ~ sQ18_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f144,plain,
( sQ18_spl
| ~ product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f145,definition,
( sQ19_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f146,plain,
( ~ sQ19_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f147,plain,
( sQ19_spl
| ~ product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f83,f133,f136,f139,f142,f145]) ).
fof(f149,definition,
( sQ20_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ20_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f151,plain,
( sQ20_spl
| ~ product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,definition,
( sQ21_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( ~ sQ21_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f154,plain,
( sQ21_spl
| ~ product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,definition,
( sQ22_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ22_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f157,plain,
( sQ22_spl
| ~ product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,definition,
( sQ23_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( ~ sQ23_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f160,plain,
( sQ23_spl
| ~ product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,definition,
( sQ24_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( ~ sQ24_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f163,plain,
( sQ24_spl
| ~ product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f84,f149,f152,f155,f158,f161]) ).
fof(f165,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)],[f76,f36]) ).
fof(f166,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)],[f76,f35]) ).
fof(f167,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)],[f76,f34]) ).
fof(f168,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)],[f76,f33]) ).
fof(f169,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)],[f76,f32]) ).
fof(f170,definition,
( sQ25_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ25_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f172,plain,
( sQ25_spl
| ~ product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,definition,
( sQ26_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( ~ sQ26_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f175,plain,
( sQ26_spl
| ~ product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,definition,
( sQ27_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ27_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f178,plain,
( sQ27_spl
| ~ product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,definition,
( sQ28_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ28_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f181,plain,
( sQ28_spl
| ~ product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,definition,
( sQ29_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ29_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f184,plain,
( sQ29_spl
| ~ product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f165,f170,f173,f176,f179,f182]) ).
fof(f186,definition,
( sQ30_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f187,plain,
( ~ sQ30_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f188,plain,
( sQ30_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,definition,
( sQ31_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( ~ sQ31_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f191,plain,
( sQ31_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,definition,
( sQ32_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( ~ sQ32_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f194,plain,
( sQ32_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,definition,
( sQ33_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f198,definition,
( sQ34_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ34_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f200,plain,
( sQ34_spl
| ~ product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f166,f186,f189,f192,f195,f198]) ).
fof(f202,definition,
( sQ35_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f203,plain,
( ~ sQ35_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f204,plain,
( sQ35_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,definition,
( sQ36_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f206,plain,
( ~ sQ36_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f207,plain,
( sQ36_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,definition,
( sQ37_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ37_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f210,plain,
( sQ37_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,definition,
( sQ38_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ38_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f213,plain,
( sQ38_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
( sQ39_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ39_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f216,plain,
( sQ39_spl
| ~ product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f167,f202,f205,f208,f211,f214]) ).
fof(f218,definition,
( sQ40_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( ~ sQ40_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f220,plain,
( sQ40_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,definition,
( sQ41_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( ~ sQ41_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f223,plain,
( sQ41_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,definition,
( sQ42_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ42_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f226,plain,
( sQ42_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,definition,
( sQ43_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( ~ sQ43_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f229,plain,
( sQ43_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,definition,
( sQ44_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( ~ sQ44_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f232,plain,
( sQ44_spl
| ~ product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f168,f218,f221,f224,f227,f230]) ).
fof(f234,definition,
( sQ45_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( ~ sQ45_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f236,plain,
( sQ45_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,definition,
( sQ46_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( ~ sQ46_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f239,plain,
( sQ46_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f237]) ).
fof(f240,definition,
( sQ47_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ47_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f242,plain,
( sQ47_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,definition,
( sQ48_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ48_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f245,plain,
( sQ48_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,definition,
( sQ49_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ49_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f248,plain,
( sQ49_spl
| ~ product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f169,f234,f237,f240,f243,f246]) ).
fof(f250,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)],[f77,f36]) ).
fof(f251,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)],[f77,f35]) ).
fof(f252,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)],[f77,f34]) ).
fof(f253,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)],[f77,f33]) ).
fof(f254,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)],[f77,f32]) ).
fof(f255,definition,
( sQ50_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f256,plain,
( ~ sQ50_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f257,plain,
( sQ50_spl
| ~ product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
( sQ51_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f259,plain,
( ~ sQ51_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f260,plain,
( sQ51_spl
| ~ product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,definition,
( sQ52_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( ~ sQ52_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f263,plain,
( sQ52_spl
| ~ product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,definition,
( sQ53_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ53_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f266,plain,
( sQ53_spl
| ~ product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,definition,
( sQ54_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( ~ sQ54_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f269,plain,
( sQ54_spl
| ~ product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f250,f255,f258,f261,f264,f267]) ).
fof(f271,definition,
( sQ55_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f272,plain,
( ~ sQ55_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f273,plain,
( sQ55_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f274,definition,
( sQ56_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f275,plain,
( ~ sQ56_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f276,plain,
( sQ56_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f274]) ).
fof(f277,definition,
( sQ57_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( ~ sQ57_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f279,plain,
( sQ57_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,definition,
( sQ58_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f281,plain,
( ~ sQ58_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f282,plain,
( sQ58_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,definition,
( sQ59_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f284,plain,
( ~ sQ59_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f285,plain,
( sQ59_spl
| ~ product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f251,f271,f274,f277,f280,f283]) ).
fof(f287,definition,
( sQ60_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( ~ sQ60_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f289,plain,
( sQ60_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,definition,
( sQ61_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f291,plain,
( ~ sQ61_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f292,plain,
( sQ61_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,definition,
( sQ62_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f296,definition,
( sQ63_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f297,plain,
( ~ sQ63_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f298,plain,
( sQ63_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,definition,
( sQ64_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f300,plain,
( ~ sQ64_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f301,plain,
( sQ64_spl
| ~ product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f252,f287,f290,f293,f296,f299]) ).
fof(f303,definition,
( sQ65_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f304,plain,
( ~ sQ65_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f305,plain,
( sQ65_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,definition,
( sQ66_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f307,plain,
( ~ sQ66_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f308,plain,
( sQ66_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,definition,
( sQ67_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( ~ sQ67_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f311,plain,
( sQ67_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,definition,
( sQ68_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( ~ sQ68_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f314,plain,
( sQ68_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,definition,
( sQ69_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ69_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f317,plain,
( sQ69_spl
| ~ product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f253,f303,f306,f309,f312,f315]) ).
fof(f319,definition,
( sQ70_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( ~ sQ70_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f321,plain,
( sQ70_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,definition,
( sQ71_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( ~ sQ71_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f324,plain,
( sQ71_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,definition,
( sQ72_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( ~ sQ72_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f327,plain,
( sQ72_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,definition,
( sQ73_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( ~ sQ73_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f330,plain,
( sQ73_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,definition,
( sQ74_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( ~ sQ74_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f333,plain,
( sQ74_spl
| ~ product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f254,f319,f322,f325,f328,f331]) ).
fof(f335,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)],[f78,f36]) ).
fof(f336,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)],[f78,f35]) ).
fof(f337,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)],[f78,f34]) ).
fof(f338,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)],[f78,f33]) ).
fof(f339,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)],[f78,f32]) ).
fof(f340,definition,
( sQ75_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( ~ sQ75_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f342,plain,
( sQ75_spl
| ~ product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,definition,
( sQ76_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ76_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f345,plain,
( sQ76_spl
| ~ product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,definition,
( sQ77_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( ~ sQ77_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f348,plain,
( sQ77_spl
| ~ product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f346]) ).
fof(f349,definition,
( sQ78_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ78_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f351,plain,
( sQ78_spl
| ~ product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,definition,
( sQ79_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( ~ sQ79_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f354,plain,
( sQ79_spl
| ~ product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f335,f340,f343,f346,f349,f352]) ).
fof(f356,definition,
( sQ80_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ80_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f358,plain,
( sQ80_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,definition,
( sQ81_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ81_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f361,plain,
( sQ81_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ82_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ82_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f364,plain,
( sQ82_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,definition,
( sQ83_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f366,plain,
( ~ sQ83_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f367,plain,
( sQ83_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,definition,
( sQ84_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f369,plain,
( ~ sQ84_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f370,plain,
( sQ84_spl
| ~ product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f336,f356,f359,f362,f365,f368]) ).
fof(f372,definition,
( sQ85_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ85_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f374,plain,
( sQ85_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,definition,
( sQ86_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ86_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f377,plain,
( sQ86_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,definition,
( sQ87_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( ~ sQ87_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f380,plain,
( sQ87_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,definition,
( sQ88_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f382,plain,
( ~ sQ88_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f383,plain,
( sQ88_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,definition,
( sQ89_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f385,plain,
( ~ sQ89_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f386,plain,
( sQ89_spl
| ~ product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f337,f372,f375,f378,f381,f384]) ).
fof(f388,definition,
( sQ90_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( ~ sQ90_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f390,plain,
( sQ90_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,definition,
( sQ91_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f394,definition,
( sQ92_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f395,plain,
( ~ sQ92_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f396,plain,
( sQ92_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,definition,
( sQ93_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f398,plain,
( ~ sQ93_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f399,plain,
( sQ93_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,definition,
( sQ94_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( ~ sQ94_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f402,plain,
( sQ94_spl
| ~ product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f338,f388,f391,f394,f397,f400]) ).
fof(f404,definition,
( sQ95_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ95_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f406,plain,
( sQ95_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,definition,
( sQ96_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ96_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f409,plain,
( sQ96_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,definition,
( sQ97_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( ~ sQ97_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f412,plain,
( sQ97_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,definition,
( sQ98_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( ~ sQ98_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f415,plain,
( sQ98_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,definition,
( sQ99_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( ~ sQ99_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f418,plain,
( sQ99_spl
| ~ product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f339,f404,f407,f410,f413,f416]) ).
fof(f420,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)],[f79,f36]) ).
fof(f421,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)],[f79,f35]) ).
fof(f422,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)],[f79,f34]) ).
fof(f423,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)],[f79,f33]) ).
fof(f424,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)],[f79,f32]) ).
fof(f425,definition,
( sQ100_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( ~ sQ100_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f427,plain,
( sQ100_spl
| ~ product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,definition,
( sQ101_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( ~ sQ101_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f430,plain,
( sQ101_spl
| ~ product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,definition,
( sQ102_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ102_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f433,plain,
( sQ102_spl
| ~ product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,definition,
( sQ103_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ103_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f436,plain,
( sQ103_spl
| ~ product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ104_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ104_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f439,plain,
( sQ104_spl
| ~ product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f420,f425,f428,f431,f434,f437]) ).
fof(f441,definition,
( sQ105_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( ~ sQ105_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f443,plain,
( sQ105_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,definition,
( sQ106_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( ~ sQ106_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ107_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ107_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f449,plain,
( sQ107_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ108_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ108_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f452,plain,
( sQ108_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ109_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ109_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f421,f441,f444,f447,f450,f453]) ).
fof(f457,definition,
( sQ110_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ110_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f459,plain,
( sQ110_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,definition,
( sQ111_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( ~ sQ111_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f462,plain,
( sQ111_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,definition,
( sQ112_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( ~ sQ112_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f465,plain,
( sQ112_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,definition,
( sQ113_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( ~ sQ113_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f468,plain,
( sQ113_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,definition,
( sQ114_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( ~ sQ114_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f471,plain,
( sQ114_spl
| ~ product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f422,f457,f460,f463,f466,f469]) ).
fof(f473,definition,
( sQ115_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ115_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f475,plain,
( sQ115_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,definition,
( sQ116_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ116_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f478,plain,
( sQ116_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,definition,
( sQ117_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ117_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f481,plain,
( sQ117_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,definition,
( sQ118_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ118_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f484,plain,
( sQ118_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
( sQ119_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ119_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f487,plain,
( sQ119_spl
| ~ product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f423,f473,f476,f479,f482,f485]) ).
fof(f489,definition,
( sQ120_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f492,definition,
( sQ121_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ121_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f494,plain,
( sQ121_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,definition,
( sQ122_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( ~ sQ122_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f497,plain,
( sQ122_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,definition,
( sQ123_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( ~ sQ123_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f500,plain,
( sQ123_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,definition,
( sQ124_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( ~ sQ124_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f503,plain,
( sQ124_spl
| ~ product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f424,f489,f492,f495,f498,f501]) ).
fof(f505,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f162,f63]) ).
fof(f506,plain,
( ~ sQ24_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f162,f67]) ).
fof(f507,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f162,f61]) ).
fof(f508,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f162,f59]) ).
fof(f509,plain,
! [X0] :
( ~ sQ24_spl
| product(X0,e_5,e_1)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f162,f66]) ).
fof(f510,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f506,f53]) ).
fof(f511,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f510]) ).
fof(f512,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f159,f63]) ).
fof(f513,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f159,f61]) ).
fof(f514,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f159,f59]) ).
fof(f515,plain,
! [X0] :
( ~ sQ23_spl
| product(X0,e_5,e_1)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f159,f66]) ).
fof(f519,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f156,f514]) ).
fof(f520,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f156,f63]) ).
fof(f521,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f156,f61]) ).
fof(f522,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f156,f59]) ).
fof(f523,plain,
! [X0] :
( ~ sQ22_spl
| product(X0,e_5,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f156,f66]) ).
fof(f524,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f519,f51]) ).
fof(f525,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f524]) ).
fof(f526,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f153,f63]) ).
fof(f527,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f153,f61]) ).
fof(f528,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f153,f59]) ).
fof(f529,plain,
! [X0] :
( ~ sQ21_spl
| product(X0,e_5,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f153,f66]) ).
fof(f534,plain,
( ~ sQ20_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f150,f71]) ).
fof(f535,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f150,f63]) ).
fof(f536,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f150,f61]) ).
fof(f537,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f150,f59]) ).
fof(f538,plain,
! [X0] :
( ~ sQ20_spl
| product(X0,e_5,e_1)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f150,f66]) ).
fof(f541,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f146,f63]) ).
fof(f542,plain,
( ~ sQ19_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f146,f67]) ).
fof(f543,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f146,f61]) ).
fof(f544,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f146,f59]) ).
fof(f545,plain,
! [X0] :
( ~ sQ19_spl
| product(X0,e_5,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f146,f66]) ).
fof(f546,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f542,f54]) ).
fof(f547,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f546]) ).
fof(f548,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f143,f63]) ).
fof(f549,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f143,f61]) ).
fof(f550,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f143,f59]) ).
fof(f551,plain,
! [X0] :
( ~ sQ18_spl
| product(X0,e_5,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f143,f66]) ).
fof(f555,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f140,f550]) ).
fof(f556,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f140,f63]) ).
fof(f557,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f140,f61]) ).
fof(f558,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f140,f59]) ).
fof(f559,plain,
! [X0] :
( ~ sQ17_spl
| product(X0,e_5,e_2)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f140,f66]) ).
fof(f560,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f555,f51]) ).
fof(f561,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f560]) ).
fof(f563,plain,
( ~ sQ16_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f137,f71]) ).
fof(f564,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f137,f63]) ).
fof(f565,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f137,f61]) ).
fof(f566,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f137,f59]) ).
fof(f567,plain,
! [X0] :
( ~ sQ16_spl
| product(X0,e_5,e_2)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f137,f66]) ).
fof(f570,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f534,f40]) ).
fof(f571,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f570]) ).
fof(f572,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f134,f63]) ).
fof(f573,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f134,f61]) ).
fof(f574,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f134,f59]) ).
fof(f575,plain,
! [X0] :
( ~ sQ15_spl
| product(X0,e_5,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f134,f66]) ).
fof(f579,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f130,f63]) ).
fof(f580,plain,
( ~ sQ14_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f130,f67]) ).
fof(f581,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f130,f61]) ).
fof(f582,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f130,f59]) ).
fof(f583,plain,
! [X0] :
( ~ sQ14_spl
| product(X0,e_5,e_3)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f130,f66]) ).
fof(f584,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f580,f55]) ).
fof(f585,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f584]) ).
fof(f586,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f127,f63]) ).
fof(f587,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f127,f61]) ).
fof(f588,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f127,f59]) ).
fof(f589,plain,
! [X0] :
( ~ sQ13_spl
| product(X0,e_5,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f127,f66]) ).
fof(f595,plain,
( ~ sQ12_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f124,f71]) ).
fof(f596,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f124,f63]) ).
fof(f597,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f124,f61]) ).
fof(f598,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f124,f59]) ).
fof(f599,plain,
! [X0] :
( ~ sQ12_spl
| product(X0,e_5,e_3)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f124,f66]) ).
fof(f602,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f121,f63]) ).
fof(f603,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f121,f61]) ).
fof(f604,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f121,f59]) ).
fof(f605,plain,
! [X0] :
( ~ sQ11_spl
| product(X0,e_5,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f121,f66]) ).
fof(f609,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f118,f604]) ).
fof(f610,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f118,f573]) ).
fof(f611,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f118,f63]) ).
fof(f612,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f118,f61]) ).
fof(f613,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f118,f59]) ).
fof(f614,plain,
! [X0] :
( ~ sQ10_spl
| product(X0,e_5,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f118,f66]) ).
fof(f615,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f609,f41]) ).
fof(f616,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f615]) ).
fof(f617,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f114,f63]) ).
fof(f618,plain,
( ~ sQ9_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f114,f67]) ).
fof(f619,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f114,f61]) ).
fof(f620,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f114,f59]) ).
fof(f621,plain,
! [X0] :
( ~ sQ9_spl
| product(X0,e_5,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f114,f66]) ).
fof(f622,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f618,f56]) ).
fof(f623,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f622]) ).
fof(f624,plain,
( ~ sQ8_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f111,f71]) ).
fof(f625,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f111,f63]) ).
fof(f626,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f111,f61]) ).
fof(f627,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f111,f59]) ).
fof(f628,plain,
! [X0] :
( ~ sQ8_spl
| product(X0,e_5,e_4)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f111,f66]) ).
fof(f629,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f624,f52]) ).
fof(f630,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f629]) ).
fof(f631,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f108,f521]) ).
fof(f632,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f108,f63]) ).
fof(f633,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f108,f61]) ).
fof(f634,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f108,f59]) ).
fof(f635,plain,
! [X0] :
( ~ sQ7_spl
| product(X0,e_5,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f108,f66]) ).
fof(f636,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f631,f39]) ).
fof(f637,plain,
( ~ sQ22_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f636]) ).
fof(f638,plain,
( ~ sQ11_spl
| ~ sQ21_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f527,f121]) ).
fof(f639,plain,
( ~ sQ11_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f638,f38]) ).
fof(f640,plain,
( ~ sQ11_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f639]) ).
fof(f641,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f610,f42]) ).
fof(f642,plain,
( ~ sQ15_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f641]) ).
fof(f643,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f105,f603]) ).
fof(f644,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f105,f63]) ).
fof(f645,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f105,f61]) ).
fof(f646,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f105,f59]) ).
fof(f647,plain,
! [X0] :
( ~ sQ6_spl
| product(X0,e_5,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f105,f66]) ).
fof(f648,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f643,f47]) ).
fof(f649,plain,
( ~ sQ11_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f648]) ).
fof(f652,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f595,f48]) ).
fof(f653,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f652]) ).
fof(f654,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f102,f63]) ).
fof(f655,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f102,f61]) ).
fof(f656,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f102,f59]) ).
fof(f657,plain,
! [X0] :
( ~ sQ5_spl
| product(X0,e_5,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f102,f66]) ).
fof(f658,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f247,f63]) ).
fof(f659,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f247,f61]) ).
fof(f660,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f247,f59]) ).
fof(f661,plain,
! [X0] :
( ~ sQ49_spl
| product(X0,e_4,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f247,f66]) ).
fof(f662,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f244,f63]) ).
fof(f663,plain,
( ~ sQ48_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f244,f67]) ).
fof(f664,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f244,f61]) ).
fof(f665,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f244,f59]) ).
fof(f666,plain,
! [X0] :
( ~ sQ48_spl
| product(X0,e_4,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f244,f66]) ).
fof(f667,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f663,f49]) ).
fof(f668,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f667]) ).
fof(f669,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f241,f63]) ).
fof(f670,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f241,f61]) ).
fof(f671,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f241,f59]) ).
fof(f672,plain,
! [X0] :
( ~ sQ47_spl
| product(X0,e_4,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f241,f66]) ).
fof(f673,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f238,f63]) ).
fof(f674,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f238,f61]) ).
fof(f675,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f238,f59]) ).
fof(f676,plain,
! [X0] :
( ~ sQ46_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f238,f66]) ).
fof(f677,plain,
( ~ sQ45_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f235,f71]) ).
fof(f678,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f235,f63]) ).
fof(f679,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f235,f61]) ).
fof(f680,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f235,f59]) ).
fof(f681,plain,
! [X0] :
( ~ sQ45_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f235,f66]) ).
fof(f682,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f677,f39]) ).
fof(f683,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f682]) ).
fof(f684,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f231,f63]) ).
fof(f685,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f231,f61]) ).
fof(f686,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f231,f59]) ).
fof(f687,plain,
! [X0] :
( ~ sQ44_spl
| product(X0,e_4,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f231,f66]) ).
fof(f688,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f228,f63]) ).
fof(f689,plain,
( ~ sQ43_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f228,f67]) ).
fof(f690,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f228,f61]) ).
fof(f691,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f228,f59]) ).
fof(f692,plain,
! [X0] :
( ~ sQ43_spl
| product(X0,e_4,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f228,f66]) ).
fof(f693,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f689,f50]) ).
fof(f694,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f693]) ).
fof(f695,plain,
( ~ sQ5_spl
| ~ sQ49_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f661,f102]) ).
fof(f696,plain,
( ~ sQ5_spl
| ~ sQ44_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f687,f102]) ).
fof(f697,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ49_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f695,f63]) ).
fof(f698,plain,
( ~ sQ5_spl
| ~ sQ49_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f695,f67]) ).
fof(f699,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f695,f61]) ).
fof(f700,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ49_spl
| equalish(e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f695,f59]) ).
fof(f701,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ49_spl
| product(X0,e_1,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f695,f66]) ).
fof(f702,plain,
( ~ sQ5_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f698,f39]) ).
fof(f703,plain,
( ~ sQ5_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f702]) ).
fof(f704,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ44_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f696,f63]) ).
fof(f705,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ44_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f696,f61]) ).
fof(f706,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ44_spl
| equalish(e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f696,f59]) ).
fof(f707,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ44_spl
| product(X0,e_1,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f696,f66]) ).
fof(f711,plain,
( ~ sQ46_spl
| ~ sQ21_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f526,f238]) ).
fof(f712,plain,
( ~ sQ46_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f711,f56]) ).
fof(f713,plain,
( ~ sQ46_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f712]) ).
fof(f714,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f563,f44]) ).
fof(f715,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f714]) ).
fof(f716,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f612,f102]) ).
fof(f717,plain,
( ~ sQ5_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f716,f47]) ).
fof(f718,plain,
( ~ sQ5_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f717]) ).
fof(f728,plain,
( ~ sQ47_spl
| ~ sQ22_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f520,f241]) ).
fof(f729,plain,
( ~ sQ47_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f728,f56]) ).
fof(f730,plain,
( ~ sQ47_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f729]) ).
fof(f731,plain,
( ~ sQ44_spl
| ~ sQ42_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f225,f686]) ).
fof(f732,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f225,f670]) ).
fof(f733,plain,
( ~ sQ17_spl
| ~ sQ42_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f225,f556]) ).
fof(f734,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f225,f63]) ).
fof(f735,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f225,f61]) ).
fof(f736,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f225,f59]) ).
fof(f737,plain,
! [X0] :
( ~ sQ42_spl
| product(X0,e_4,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f225,f66]) ).
fof(f738,plain,
( ~ sQ44_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f731,f55]) ).
fof(f739,plain,
( ~ sQ44_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f738]) ).
fof(f740,plain,
( ~ sQ41_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f222,f71]) ).
fof(f741,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f222,f63]) ).
fof(f742,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f222,f61]) ).
fof(f743,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f222,f59]) ).
fof(f744,plain,
! [X0] :
( ~ sQ41_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f222,f66]) ).
fof(f745,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f740,f43]) ).
fof(f746,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f745]) ).
fof(f747,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f219,f63]) ).
fof(f748,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f219,f61]) ).
fof(f749,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f219,f59]) ).
fof(f750,plain,
! [X0] :
( ~ sQ40_spl
| product(X0,e_4,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f219,f66]) ).
fof(f754,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f215,f63]) ).
fof(f755,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f215,f61]) ).
fof(f756,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f215,f59]) ).
fof(f757,plain,
! [X0] :
( ~ sQ39_spl
| product(X0,e_4,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f215,f66]) ).
fof(f762,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f212,f63]) ).
fof(f763,plain,
( ~ sQ38_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f212,f67]) ).
fof(f764,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f212,f61]) ).
fof(f765,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f212,f59]) ).
fof(f766,plain,
! [X0] :
( ~ sQ38_spl
| product(X0,e_4,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f212,f66]) ).
fof(f770,plain,
( ~ sQ37_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f209,f71]) ).
fof(f771,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f209,f63]) ).
fof(f772,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f209,f61]) ).
fof(f773,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f209,f59]) ).
fof(f774,plain,
! [X0] :
( ~ sQ37_spl
| product(X0,e_4,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f209,f66]) ).
fof(f777,plain,
( ~ sQ40_spl
| ~ sQ15_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f572,f219]) ).
fof(f778,plain,
( ~ sQ40_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f777,f56]) ).
fof(f779,plain,
( ~ sQ40_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f778]) ).
fof(f780,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f206,f63]) ).
fof(f781,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f206,f61]) ).
fof(f782,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f206,f59]) ).
fof(f783,plain,
! [X0] :
( ~ sQ36_spl
| product(X0,e_4,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f206,f66]) ).
fof(f784,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f203,f748]) ).
fof(f785,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f203,f63]) ).
fof(f786,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f203,f61]) ).
fof(f787,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f203,f59]) ).
fof(f788,plain,
! [X0] :
( ~ sQ35_spl
| product(X0,e_4,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f203,f66]) ).
fof(f789,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f784,f42]) ).
fof(f790,plain,
( ~ sQ40_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f789]) ).
fof(f791,plain,
( ~ sQ47_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f732,f37]) ).
fof(f792,plain,
( ~ sQ47_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f791]) ).
fof(f793,plain,
( ~ sQ17_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f733,f56]) ).
fof(f794,plain,
( ~ sQ17_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f793]) ).
fof(f796,plain,
( ~ sQ34_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f199,f68]) ).
fof(f797,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f199,f63]) ).
fof(f798,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f199,f61]) ).
fof(f799,plain,
! [X0] :
( ~ sQ34_spl
| equalish(e_5,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f199,f59]) ).
fof(f800,plain,
! [X0] :
( ~ sQ34_spl
| product(X0,e_4,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f199,f66]) ).
fof(f802,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f796,f52]) ).
fof(f803,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f802]) ).
fof(f804,plain,
( ~ sQ32_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f193,f69]) ).
fof(f805,plain,
( ~ sQ32_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f193,f68]) ).
fof(f806,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f193,f63]) ).
fof(f807,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f193,f61]) ).
fof(f808,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f193,f59]) ).
fof(f809,plain,
! [X0] :
( ~ sQ32_spl
| product(X0,e_4,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f193,f66]) ).
fof(f810,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f805,f51]) ).
fof(f811,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f810]) ).
fof(f812,plain,
( ~ sQ31_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f190,f69]) ).
fof(f813,plain,
( ~ sQ31_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f190,f68]) ).
fof(f814,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f190,f63]) ).
fof(f815,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f190,f61]) ).
fof(f816,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f190,f59]) ).
fof(f817,plain,
! [X0] :
( ~ sQ31_spl
| product(X0,e_4,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f190,f66]) ).
fof(f818,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f813,f50]) ).
fof(f819,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f818]) ).
fof(f820,plain,
( ~ sQ30_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f187,f69]) ).
fof(f821,plain,
( ~ sQ30_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f187,f68]) ).
fof(f822,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f187,f63]) ).
fof(f823,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f187,f61]) ).
fof(f824,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f187,f59]) ).
fof(f825,plain,
! [X0] :
( ~ sQ30_spl
| product(X0,e_4,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f187,f66]) ).
fof(f826,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f821,f49]) ).
fof(f827,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f826]) ).
fof(f828,plain,
( ~ sQ29_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f183,f71]) ).
fof(f829,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f183,f63]) ).
fof(f830,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f183,f61]) ).
fof(f831,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_5,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f183,f59]) ).
fof(f832,plain,
! [X0] :
( ~ sQ29_spl
| product(X0,e_4,e_5)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f183,f66]) ).
fof(f833,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f828,f56]) ).
fof(f834,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f833]) ).
fof(f835,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f180,f63]) ).
fof(f836,plain,
( ~ sQ28_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f180,f67]) ).
fof(f837,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f180,f61]) ).
fof(f838,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f180,f59]) ).
fof(f839,plain,
! [X0] :
( ~ sQ28_spl
| product(X0,e_4,e_5)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f180,f66]) ).
fof(f840,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f836,f52]) ).
fof(f841,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f840]) ).
fof(f842,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f177,f63]) ).
fof(f843,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f177,f61]) ).
fof(f844,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f177,f59]) ).
fof(f845,plain,
! [X0] :
( ~ sQ27_spl
| product(X0,e_4,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f177,f66]) ).
fof(f849,plain,
( ~ sQ27_spl
| ~ sQ47_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f670,f177]) ).
fof(f850,plain,
( ~ sQ27_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f849,f40]) ).
fof(f851,plain,
( ~ sQ27_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f850]) ).
fof(f852,plain,
( ~ sQ36_spl
| ~ sQ11_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f602,f206]) ).
fof(f853,plain,
( ~ sQ36_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f852,f56]) ).
fof(f854,plain,
( ~ sQ36_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f853]) ).
fof(f855,plain,
( ~ sQ36_spl
| ~ sQ26_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f174,f781]) ).
fof(f856,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f174,f63]) ).
fof(f857,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f174,f61]) ).
fof(f858,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f174,f59]) ).
fof(f859,plain,
! [X0] :
( ~ sQ26_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f174,f66]) ).
fof(f860,plain,
( ~ sQ36_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f855,f48]) ).
fof(f861,plain,
( ~ sQ36_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f860]) ).
fof(f862,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f763,f51]) ).
fof(f863,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f862]) ).
fof(f864,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f770,f47]) ).
fof(f865,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f864]) ).
fof(f866,plain,
( ~ sQ40_spl
| ~ sQ25_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f171,f748]) ).
fof(f867,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f171,f63]) ).
fof(f868,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f171,f61]) ).
fof(f869,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_1,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f171,f59]) ).
fof(f870,plain,
! [X0] :
( ~ sQ25_spl
| product(X0,e_4,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f171,f66]) ).
fof(f871,plain,
( ~ sQ40_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f866,f44]) ).
fof(f872,plain,
( ~ sQ40_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f871]) ).
fof(f876,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f332,f63]) ).
fof(f877,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f332,f61]) ).
fof(f878,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f332,f59]) ).
fof(f879,plain,
! [X0] :
( ~ sQ74_spl
| product(X0,e_3,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f332,f66]) ).
fof(f880,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f329,f63]) ).
fof(f881,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f329,f61]) ).
fof(f882,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f329,f59]) ).
fof(f883,plain,
! [X0] :
( ~ sQ73_spl
| product(X0,e_3,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f329,f66]) ).
fof(f885,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f326,f63]) ).
fof(f886,plain,
( ~ sQ72_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f326,f67]) ).
fof(f887,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f326,f61]) ).
fof(f888,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f326,f59]) ).
fof(f889,plain,
! [X0] :
( ~ sQ72_spl
| product(X0,e_3,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f326,f66]) ).
fof(f892,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f323,f63]) ).
fof(f893,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f323,f61]) ).
fof(f894,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f323,f59]) ).
fof(f895,plain,
! [X0] :
( ~ sQ71_spl
| product(X0,e_3,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f323,f66]) ).
fof(f896,plain,
( ~ sQ70_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f320,f71]) ).
fof(f897,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f320,f63]) ).
fof(f898,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f320,f61]) ).
fof(f899,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f320,f59]) ).
fof(f900,plain,
! [X0] :
( ~ sQ70_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f320,f66]) ).
fof(f901,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f896,f38]) ).
fof(f902,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f901]) ).
fof(f903,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f316,f63]) ).
fof(f904,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f316,f61]) ).
fof(f905,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f316,f59]) ).
fof(f906,plain,
! [X0] :
( ~ sQ69_spl
| product(X0,e_3,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f316,f66]) ).
fof(f907,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f313,f63]) ).
fof(f908,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f313,f61]) ).
fof(f909,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f313,f59]) ).
fof(f910,plain,
! [X0] :
( ~ sQ68_spl
| product(X0,e_3,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f313,f66]) ).
fof(f911,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f310,f63]) ).
fof(f912,plain,
( ~ sQ67_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f310,f67]) ).
fof(f913,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f310,f61]) ).
fof(f914,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f310,f59]) ).
fof(f915,plain,
! [X0] :
( ~ sQ67_spl
| product(X0,e_3,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f310,f66]) ).
fof(f916,plain,
( ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f912,f46]) ).
fof(f917,plain,
~ sQ67_spl,
inference(contradiction_clause,[status(thm)],[f916]) ).
fof(f918,plain,
( ~ sQ66_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f307,f71]) ).
fof(f919,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f307,f63]) ).
fof(f920,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f307,f61]) ).
fof(f921,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f307,f59]) ).
fof(f922,plain,
! [X0] :
( ~ sQ66_spl
| product(X0,e_3,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f307,f66]) ).
fof(f923,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f918,f42]) ).
fof(f924,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f923]) ).
fof(f925,plain,
( ~ sQ25_spl
| ~ sQ35_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f786,f171]) ).
fof(f926,plain,
( ~ sQ25_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f925,f48]) ).
fof(f927,plain,
( ~ sQ25_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f926]) ).
fof(f928,plain,
( ~ sQ25_spl
| ~ sQ13_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f589,f171]) ).
fof(f929,plain,
( ~ sQ5_spl
| ~ sQ25_spl
| ~ sQ13_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f928,f657]) ).
fof(f930,plain,
( ~ sQ15_spl
| ~ sQ25_spl
| ~ sQ13_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f928,f575]) ).
fof(f931,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ13_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f928,f63]) ).
fof(f932,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ13_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f928,f61]) ).
fof(f933,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f928,f59]) ).
fof(f934,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ13_spl
| product(X0,e_1,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f928,f66]) ).
fof(f936,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ25_spl
| ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f929,f63]) ).
fof(f937,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ25_spl
| ~ sQ13_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f929,f61]) ).
fof(f938,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ25_spl
| ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f929,f59]) ).
fof(f939,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ25_spl
| ~ sQ13_spl
| product(X0,e_3,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f929,f66]) ).
fof(f940,plain,
( ~ sQ22_spl
| ~ sQ15_spl
| ~ sQ25_spl
| ~ sQ13_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f930,f523]) ).
fof(f941,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ25_spl
| ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f930,f63]) ).
fof(f942,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ25_spl
| ~ sQ13_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f930,f61]) ).
fof(f943,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ25_spl
| ~ sQ13_spl
| equalish(e_2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f930,f59]) ).
fof(f944,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ25_spl
| ~ sQ13_spl
| product(X0,e_3,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f930,f66]) ).
fof(f948,plain,
( ~ sQ71_spl
| ~ sQ25_spl
| ~ sQ13_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f934,f323]) ).
fof(f949,plain,
( ~ sQ73_spl
| ~ sQ25_spl
| ~ sQ13_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f934,f329]) ).
fof(f950,plain,
( ~ sQ74_spl
| ~ sQ25_spl
| ~ sQ13_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f934,f332]) ).
fof(f951,plain,
( ~ sQ73_spl
| ~ sQ25_spl
| ~ sQ13_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f949,f246,f126,f170,f328]) ).
fof(f952,plain,
( ~ sQ74_spl
| ~ sQ25_spl
| ~ sQ13_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f950,f161,f126,f170,f331]) ).
fof(f958,plain,
( ~ sQ68_spl
| ~ sQ69_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f905,f313]) ).
fof(f960,plain,
( ~ sQ68_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f958,f56]) ).
fof(f961,plain,
( ~ sQ68_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f960]) ).
fof(f962,plain,
( ~ sQ71_spl
| ~ sQ46_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f673,f323]) ).
fof(f963,plain,
( ~ sQ71_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f962,f51]) ).
fof(f964,plain,
( ~ sQ71_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f963]) ).
fof(f965,plain,
( ~ sQ71_spl
| ~ sQ21_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f526,f323]) ).
fof(f966,plain,
( ~ sQ71_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f965,f55]) ).
fof(f967,plain,
( ~ sQ71_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f966]) ).
fof(f968,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f304,f63]) ).
fof(f969,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f304,f61]) ).
fof(f970,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f304,f59]) ).
fof(f971,plain,
! [X0] :
( ~ sQ65_spl
| product(X0,e_3,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f304,f66]) ).
fof(f973,plain,
( ~ sQ64_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f300,f68]) ).
fof(f974,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f300,f63]) ).
fof(f975,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f300,f61]) ).
fof(f976,plain,
! [X0] :
( ~ sQ64_spl
| equalish(e_5,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f300,f59]) ).
fof(f977,plain,
! [X0] :
( ~ sQ64_spl
| product(X0,e_3,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f300,f66]) ).
fof(f979,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f973,f48]) ).
fof(f980,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f979]) ).
fof(f982,plain,
( ~ sQ63_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f297,f68]) ).
fof(f983,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f297,f63]) ).
fof(f984,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f297,f61]) ).
fof(f985,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_4,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f297,f59]) ).
fof(f986,plain,
! [X0] :
( ~ sQ63_spl
| product(X0,e_3,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f297,f66]) ).
fof(f988,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f982,f47]) ).
fof(f989,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f988]) ).
fof(f991,plain,
( ~ sQ61_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f291,f69]) ).
fof(f992,plain,
( ~ sQ61_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f291,f68]) ).
fof(f993,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f291,f63]) ).
fof(f994,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f291,f61]) ).
fof(f995,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f291,f59]) ).
fof(f996,plain,
! [X0] :
( ~ sQ61_spl
| product(X0,e_3,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f291,f66]) ).
fof(f999,plain,
( ~ sQ60_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f288,f69]) ).
fof(f1000,plain,
( ~ sQ60_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f288,f68]) ).
fof(f1001,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f288,f63]) ).
fof(f1002,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f288,f61]) ).
fof(f1003,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f288,f59]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ60_spl
| product(X0,e_3,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f288,f66]) ).
fof(f1005,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1000,f45]) ).
fof(f1006,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1005]) ).
fof(f1007,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f284,f63]) ).
fof(f1008,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f284,f61]) ).
fof(f1009,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_5,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f284,f59]) ).
fof(f1010,plain,
! [X0] :
( ~ sQ59_spl
| product(X0,e_3,e_4)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f284,f66]) ).
fof(f1011,plain,
( ~ sQ58_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f281,f71]) ).
fof(f1012,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f281,f63]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f281,f61]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ58_spl
| equalish(e_4,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f281,f59]) ).
fof(f1015,plain,
! [X0] :
( ~ sQ58_spl
| product(X0,e_3,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f281,f66]) ).
fof(f1016,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1011,f51]) ).
fof(f1017,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f1016]) ).
fof(f1018,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f278,f63]) ).
fof(f1019,plain,
( ~ sQ57_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f278,f67]) ).
fof(f1020,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f278,f61]) ).
fof(f1021,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f278,f59]) ).
fof(f1022,plain,
! [X0] :
( ~ sQ57_spl
| product(X0,e_3,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f278,f66]) ).
fof(f1023,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1019,f47]) ).
fof(f1024,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f1023]) ).
fof(f1025,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f275,f63]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f275,f61]) ).
fof(f1027,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f275,f59]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ56_spl
| product(X0,e_3,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f275,f66]) ).
fof(f1032,plain,
( ~ sQ65_spl
| ~ sQ40_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f747,f304]) ).
fof(f1033,plain,
( ~ sQ65_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1032,f51]) ).
fof(f1034,plain,
( ~ sQ65_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1033]) ).
fof(f1035,plain,
( ~ sQ56_spl
| ~ sQ42_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f737,f275]) ).
fof(f1036,plain,
( ~ sQ59_spl
| ~ sQ42_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f737,f284]) ).
fof(f1037,plain,
( ~ sQ59_spl
| ~ sQ42_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f1036,f104,f224,f283]) ).
fof(f1038,plain,
( ~ sQ26_spl
| ~ sQ56_spl
| ~ sQ42_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f1035,f859]) ).
fof(f1039,plain,
( ~ sQ46_spl
| ~ sQ56_spl
| ~ sQ42_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1035,f676]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1035,f63]) ).
fof(f1041,plain,
( ~ sQ56_spl
| ~ sQ42_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1035,f67]) ).
fof(f1042,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ42_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1035,f61]) ).
fof(f1043,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1035,f59]) ).
fof(f1044,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ42_spl
| product(X0,e_2,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1035,f66]) ).
fof(f1045,plain,
( ~ sQ56_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1041,f43]) ).
fof(f1046,plain,
( ~ sQ56_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1045]) ).
fof(f1047,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f992,f46]) ).
fof(f1048,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1047]) ).
fof(f1049,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f886,f45]) ).
fof(f1050,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f1049]) ).
fof(f1051,plain,
( ~ sQ47_spl
| ~ sQ55_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f272,f672]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f272,f63]) ).
fof(f1053,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f272,f61]) ).
fof(f1054,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f272,f59]) ).
fof(f1055,plain,
! [X0] :
( ~ sQ55_spl
| product(X0,e_3,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f272,f66]) ).
fof(f1056,plain,
( ~ sQ40_spl
| ~ sQ47_spl
| ~ sQ55_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1051,f750]) ).
fof(f1057,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ55_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1051,f63]) ).
fof(f1058,plain,
( ~ sQ47_spl
| ~ sQ55_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1051,f67]) ).
fof(f1059,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1051,f61]) ).
fof(f1060,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ55_spl
| equalish(e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1051,f59]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ47_spl
| ~ sQ55_spl
| product(X0,e_1,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1051,f66]) ).
fof(f1062,plain,
( ~ sQ47_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1058,f39]) ).
fof(f1063,plain,
( ~ sQ47_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1062]) ).
fof(f1064,plain,
( ~ sQ55_spl
| ~ sQ42_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f737,f272]) ).
fof(f1065,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ42_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1064,f63]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ42_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1064,f61]) ).
fof(f1067,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1064,f59]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ42_spl
| product(X0,e_1,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1064,f66]) ).
fof(f1072,plain,
( ~ sQ22_spl
| ~ sQ54_spl
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f268,f523]) ).
fof(f1073,plain,
( ~ sQ54_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f268,f71]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f268,f63]) ).
fof(f1075,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f268,f61]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f268,f59]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ54_spl
| product(X0,e_3,e_5)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f268,f66]) ).
fof(f1078,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1073,f55]) ).
fof(f1079,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f1078]) ).
fof(f1080,plain,
( ~ sQ73_spl
| ~ sQ53_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f265,f881]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f265,f63]) ).
fof(f1082,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f265,f61]) ).
fof(f1083,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f265,f59]) ).
fof(f1084,plain,
! [X0] :
( ~ sQ53_spl
| product(X0,e_3,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f265,f66]) ).
fof(f1085,plain,
( ~ sQ73_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1080,f40]) ).
fof(f1086,plain,
( ~ sQ73_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1085]) ).
fof(f1087,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f262,f63]) ).
fof(f1088,plain,
( ~ sQ52_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f262,f67]) ).
fof(f1089,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f262,f61]) ).
fof(f1090,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f262,f59]) ).
fof(f1091,plain,
! [X0] :
( ~ sQ52_spl
| product(X0,e_3,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f262,f66]) ).
fof(f1092,plain,
( ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1088,f48]) ).
fof(f1093,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f1092]) ).
fof(f1094,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f259,f63]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f259,f61]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f259,f59]) ).
fof(f1097,plain,
! [X0] :
( ~ sQ51_spl
| product(X0,e_3,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f259,f66]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f256,f63]) ).
fof(f1099,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f256,f61]) ).
fof(f1100,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f256,f59]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ50_spl
| product(X0,e_3,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f256,f66]) ).
fof(f1102,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f417,f63]) ).
fof(f1103,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f417,f61]) ).
fof(f1104,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f417,f59]) ).
fof(f1105,plain,
! [X0] :
( ~ sQ99_spl
| product(X0,e_2,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f417,f66]) ).
fof(f1106,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f414,f63]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f414,f61]) ).
fof(f1108,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f414,f59]) ).
fof(f1109,plain,
! [X0] :
( ~ sQ98_spl
| product(X0,e_2,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f414,f66]) ).
fof(f1110,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f411,f63]) ).
fof(f1111,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f411,f61]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f411,f59]) ).
fof(f1113,plain,
! [X0] :
( ~ sQ97_spl
| product(X0,e_2,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f411,f66]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f408,f63]) ).
fof(f1115,plain,
( ~ sQ96_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f408,f67]) ).
fof(f1116,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f408,f61]) ).
fof(f1117,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f408,f59]) ).
fof(f1118,plain,
! [X0] :
( ~ sQ96_spl
| product(X0,e_2,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f408,f66]) ).
fof(f1119,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1115,f41]) ).
fof(f1120,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f1119]) ).
fof(f1121,plain,
( ~ sQ50_spl
| ~ sQ17_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f559,f256]) ).
fof(f1122,plain,
( ~ sQ51_spl
| ~ sQ17_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f559,f259]) ).
fof(f1123,plain,
( ~ sQ53_spl
| ~ sQ17_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f559,f265]) ).
fof(f1124,plain,
( ~ sQ10_spl
| ~ sQ50_spl
| ~ sQ17_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f1121,f614]) ).
fof(f1125,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1121,f63]) ).
fof(f1126,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1121,f61]) ).
fof(f1127,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1121,f59]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| product(X0,e_1,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1121,f66]) ).
fof(f1129,plain,
( ~ sQ50_spl
| ~ sQ22_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f523,f256]) ).
fof(f1130,plain,
( ~ sQ51_spl
| ~ sQ22_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f523,f259]) ).
fof(f1131,plain,
( ~ sQ53_spl
| ~ sQ22_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f523,f265]) ).
fof(f1132,plain,
( ~ sQ53_spl
| ~ sQ22_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1131,f170,f155,f264]) ).
fof(f1133,plain,
( ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ17_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f1122,f647]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1122,f63]) ).
fof(f1135,plain,
( ~ sQ51_spl
| ~ sQ17_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1122,f67]) ).
fof(f1136,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f1122,f61]) ).
fof(f1137,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1122,f59]) ).
fof(f1138,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ17_spl
| product(X0,e_2,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1122,f66]) ).
fof(f1139,plain,
( ~ sQ51_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1135,f44]) ).
fof(f1140,plain,
( ~ sQ51_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1139]) ).
fof(f1141,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ22_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1129,f63]) ).
fof(f1142,plain,
( ~ sQ50_spl
| ~ sQ22_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f1129,f67]) ).
fof(f1143,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ22_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f1129,f61]) ).
fof(f1144,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ22_spl
| equalish(e_1,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1129,f59]) ).
fof(f1145,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ22_spl
| product(X0,e_1,e_5)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1129,f66]) ).
fof(f1146,plain,
( ~ sQ50_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1142,f40]) ).
fof(f1147,plain,
( ~ sQ50_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1146]) ).
fof(f1148,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1124,f63]) ).
fof(f1149,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1124,f61]) ).
fof(f1150,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1124,f59]) ).
fof(f1151,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ50_spl
| ~ sQ17_spl
| product(X0,e_2,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1124,f66]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1121,f63]) ).
fof(f1153,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1121,f61]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1121,f59]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| product(X0,e_1,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1121,f66]) ).
fof(f1163,plain,
( ~ sQ10_spl
| ~ sQ50_spl
| ~ sQ17_spl
| ~ sQ6_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f647,f1124]) ).
fof(f1164,plain,
( ~ sQ10_spl
| ~ sQ50_spl
| ~ sQ17_spl
| ~ sQ6_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f1163,f264,f104,f139,f255,f117]) ).
fof(f1170,plain,
( ~ sQ97_spl
| ~ sQ99_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1104,f411]) ).
fof(f1171,plain,
( ~ sQ98_spl
| ~ sQ99_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1104,f414]) ).
fof(f1172,plain,
( ~ sQ99_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f1104,f417]) ).
fof(f1173,plain,
( ~ sQ97_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1170,f55]) ).
fof(f1174,plain,
( ~ sQ97_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1173]) ).
fof(f1178,plain,
( ~ sQ98_spl
| ~ sQ73_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f880,f414]) ).
fof(f1179,plain,
( ~ sQ98_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1178,f46]) ).
fof(f1180,plain,
( ~ sQ98_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1179]) ).
fof(f1181,plain,
( ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ22_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f1130,f647]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ22_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1130,f63]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ22_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1130,f61]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ22_spl
| equalish(e_1,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1130,f59]) ).
fof(f1185,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ22_spl
| product(X0,e_2,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1130,f66]) ).
fof(f1190,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ22_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1181,f63]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ22_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1181,f61]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ22_spl
| equalish(e_4,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1181,f59]) ).
fof(f1193,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ22_spl
| product(X0,e_1,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1181,f66]) ).
fof(f1197,plain,
( ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ15_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f575,f1181]) ).
fof(f1198,plain,
( ~ sQ55_spl
| ~ sQ42_spl
| ~ sQ35_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f788,f1064]) ).
fof(f1202,plain,
( ~ sQ26_spl
| ~ sQ55_spl
| ~ sQ42_spl
| ~ sQ35_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f1198,f859]) ).
fof(f1203,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ42_spl
| ~ sQ35_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1198,f63]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ42_spl
| ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1198,f61]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ42_spl
| ~ sQ35_spl
| equalish(e_3,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1198,f59]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ42_spl
| ~ sQ35_spl
| product(X0,e_2,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1198,f66]) ).
fof(f1210,plain,
( ~ sQ13_spl
| ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ15_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f1197,f589]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ15_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1197,f63]) ).
fof(f1212,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ15_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1197,f61]) ).
fof(f1213,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ15_spl
| equalish(e_2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1197,f59]) ).
fof(f1214,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ15_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1197,f66]) ).
fof(f1215,plain,
( ~ sQ42_spl
| ~ sQ26_spl
| ~ sQ55_spl
| ~ sQ35_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1202,f737]) ).
fof(f1216,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ55_spl
| ~ sQ42_spl
| ~ sQ35_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1202,f63]) ).
fof(f1217,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ55_spl
| ~ sQ42_spl
| ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1202,f61]) ).
fof(f1218,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ55_spl
| ~ sQ42_spl
| ~ sQ35_spl
| equalish(e_5,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1202,f59]) ).
fof(f1219,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ55_spl
| ~ sQ42_spl
| ~ sQ35_spl
| product(X0,e_3,e_4)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1202,f66]) ).
fof(f1221,plain,
( ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ6_spl
| ~ sQ15_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1210,f1184]) ).
fof(f1222,plain,
( ~ sQ6_spl
| ~ sQ13_spl
| ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ15_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1210,f647]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ15_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1210,f63]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ15_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1210,f61]) ).
fof(f1225,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ15_spl
| equalish(e_3,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1210,f59]) ).
fof(f1226,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ6_spl
| ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ15_spl
| product(X0,e_2,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1210,f66]) ).
fof(f1227,plain,
( ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ6_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1221,f38]) ).
fof(f1228,plain,
( ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ13_spl
| ~ sQ6_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1227]) ).
fof(f1229,plain,
( ~ sQ55_spl
| ~ sQ42_spl
| ~ sQ6_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f644,f1064]) ).
fof(f1230,plain,
( ~ sQ55_spl
| ~ sQ42_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1229,f53]) ).
fof(f1231,plain,
( ~ sQ55_spl
| ~ sQ42_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1230]) ).
fof(f1233,plain,
( ~ sQ95_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f405,f71]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f405,f63]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f405,f61]) ).
fof(f1236,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f405,f59]) ).
fof(f1237,plain,
! [X0] :
( ~ sQ95_spl
| product(X0,e_2,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f405,f66]) ).
fof(f1241,plain,
( ~ sQ94_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f401,f68]) ).
fof(f1242,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f401,f63]) ).
fof(f1243,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f401,f61]) ).
fof(f1244,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_5,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f401,f59]) ).
fof(f1245,plain,
! [X0] :
( ~ sQ94_spl
| product(X0,e_2,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f401,f66]) ).
fof(f1247,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1241,f44]) ).
fof(f1248,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f1247]) ).
fof(f1250,plain,
( ~ sQ93_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f398,f68]) ).
fof(f1251,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f398,f63]) ).
fof(f1252,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f398,f61]) ).
fof(f1253,plain,
! [X0] :
( ~ sQ93_spl
| equalish(e_4,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f398,f59]) ).
fof(f1254,plain,
! [X0] :
( ~ sQ93_spl
| product(X0,e_2,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f398,f66]) ).
fof(f1256,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1250,f43]) ).
fof(f1257,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f1256]) ).
fof(f1259,plain,
( ~ sQ92_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f395,f68]) ).
fof(f1260,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f395,f63]) ).
fof(f1261,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f395,f61]) ).
fof(f1262,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_3,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f395,f59]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ92_spl
| product(X0,e_2,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f395,f66]) ).
fof(f1265,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1259,f42]) ).
fof(f1266,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f1265]) ).
fof(f1267,plain,
( ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ90_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f389,f1183]) ).
fof(f1268,plain,
( ~ sQ90_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f389,f69]) ).
fof(f1269,plain,
( ~ sQ90_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f389,f68]) ).
fof(f1270,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f389,f63]) ).
fof(f1271,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f389,f61]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f389,f59]) ).
fof(f1273,plain,
! [X0] :
( ~ sQ90_spl
| product(X0,e_2,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f389,f66]) ).
fof(f1274,plain,
( ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1267,f54]) ).
fof(f1275,plain,
( ~ sQ51_spl
| ~ sQ22_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f1274]) ).
fof(f1276,plain,
( ~ sQ51_spl
| ~ sQ89_spl
| product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f385,f1097]) ).
fof(f1277,plain,
( ~ sQ71_spl
| ~ sQ89_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f385,f895]) ).
fof(f1278,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f385,f63]) ).
fof(f1279,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f385,f61]) ).
fof(f1280,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f385,f59]) ).
fof(f1281,plain,
! [X0] :
( ~ sQ89_spl
| product(X0,e_2,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f385,f66]) ).
fof(f1282,plain,
( ~ sQ51_spl
| ~ sQ89_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f1276,f129,f384,f258]) ).
fof(f1283,plain,
( ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1233,f37]) ).
fof(f1284,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1283]) ).
fof(f1285,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f382,f63]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f382,f61]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f382,f59]) ).
fof(f1288,plain,
! [X0] :
( ~ sQ88_spl
| product(X0,e_2,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f382,f66]) ).
fof(f1289,plain,
( ~ sQ87_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f379,f71]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f379,f63]) ).
fof(f1291,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f379,f61]) ).
fof(f1292,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f379,f59]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ87_spl
| product(X0,e_2,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f379,f66]) ).
fof(f1294,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1289,f46]) ).
fof(f1295,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f1294]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f376,f63]) ).
fof(f1297,plain,
( ~ sQ86_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f376,f67]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f376,f61]) ).
fof(f1299,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f376,f59]) ).
fof(f1300,plain,
! [X0] :
( ~ sQ86_spl
| product(X0,e_2,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f376,f66]) ).
fof(f1301,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1297,f42]) ).
fof(f1302,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f1301]) ).
fof(f1303,plain,
( ~ sQ88_spl
| ~ sQ56_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f1028,f382]) ).
fof(f1304,plain,
( ~ sQ88_spl
| ~ sQ56_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f1303,f211,f274,f381]) ).
fof(f1305,plain,
( ~ sQ56_spl
| ~ sQ85_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f373,f1028]) ).
fof(f1306,plain,
( ~ sQ10_spl
| ~ sQ85_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f373,f611]) ).
fof(f1307,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f373,f63]) ).
fof(f1308,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f373,f61]) ).
fof(f1309,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f373,f59]) ).
fof(f1310,plain,
! [X0] :
( ~ sQ85_spl
| product(X0,e_2,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f373,f66]) ).
fof(f1311,plain,
( ~ sQ10_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1306,f54]) ).
fof(f1312,plain,
( ~ sQ10_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1311]) ).
fof(f1313,plain,
( ~ sQ65_spl
| ~ sQ56_spl
| ~ sQ85_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1305,f971]) ).
fof(f1314,plain,
( ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f1305,f1101]) ).
fof(f1315,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1305,f63]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1305,f61]) ).
fof(f1317,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1305,f59]) ).
fof(f1318,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ85_spl
| product(X0,e_1,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1305,f66]) ).
fof(f1319,plain,
( ~ sQ65_spl
| ~ sQ56_spl
| ~ sQ85_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1313,f205,f372,f274,f303]) ).
fof(f1320,plain,
( ~ sQ35_spl
| ~ sQ5_spl
| ~ sQ44_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f696,f788]) ).
fof(f1321,plain,
( ~ sQ56_spl
| ~ sQ5_spl
| ~ sQ44_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f696,f1025]) ).
fof(f1322,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ44_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f696,f63]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ44_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f696,f61]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ44_spl
| equalish(e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f696,f59]) ).
fof(f1325,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ44_spl
| product(X0,e_1,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f696,f66]) ).
fof(f1326,plain,
( ~ sQ56_spl
| ~ sQ5_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1321,f45]) ).
fof(f1327,plain,
( ~ sQ56_spl
| ~ sQ5_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1326]) ).
fof(f1328,plain,
( ~ sQ68_spl
| ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f1314,f910]) ).
fof(f1329,plain,
( ~ sQ73_spl
| ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1314,f883]) ).
fof(f1330,plain,
( ~ sQ44_spl
| ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1314,f685]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1314,f63]) ).
fof(f1332,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1314,f61]) ).
fof(f1333,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_5,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1314,f59]) ).
fof(f1334,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| product(X0,e_4,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1314,f66]) ).
fof(f1335,plain,
( ~ sQ68_spl
| ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f1328,f120,f372,f274,f255,f312]) ).
fof(f1336,plain,
( ~ sQ73_spl
| ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1329,f117,f372,f274,f255,f328]) ).
fof(f1337,plain,
( ~ sQ44_spl
| ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1330,f42]) ).
fof(f1338,plain,
( ~ sQ44_spl
| ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1337]) ).
fof(f1339,plain,
( ~ sQ36_spl
| ~ sQ84_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f369,f783]) ).
fof(f1340,plain,
( ~ sQ89_spl
| ~ sQ84_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f369,f1279]) ).
fof(f1341,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f369,f63]) ).
fof(f1342,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f369,f61]) ).
fof(f1343,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_5,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f369,f59]) ).
fof(f1344,plain,
! [X0] :
( ~ sQ84_spl
| product(X0,e_2,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f369,f66]) ).
fof(f1345,plain,
( ~ sQ89_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1340,f47]) ).
fof(f1346,plain,
( ~ sQ89_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f1345]) ).
fof(f1348,plain,
( ~ sQ83_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f366,f71]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f366,f63]) ).
fof(f1350,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f366,f61]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f366,f59]) ).
fof(f1352,plain,
! [X0] :
( ~ sQ83_spl
| product(X0,e_2,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f366,f66]) ).
fof(f1354,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1348,f50]) ).
fof(f1355,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f1354]) ).
fof(f1356,plain,
( ~ sQ36_spl
| ~ sQ82_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f363,f783]) ).
fof(f1357,plain,
( ~ sQ97_spl
| ~ sQ82_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f363,f1111]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f363,f63]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f363,f61]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f363,f59]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ82_spl
| product(X0,e_2,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f363,f66]) ).
fof(f1362,plain,
( ~ sQ36_spl
| ~ sQ82_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f1356,f277,f362,f205]) ).
fof(f1363,plain,
( ~ sQ97_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1357,f39]) ).
fof(f1364,plain,
( ~ sQ97_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f1363]) ).
fof(f1365,plain,
( ~ sQ36_spl
| ~ sQ81_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f360,f783]) ).
fof(f1366,plain,
( ~ sQ6_spl
| ~ sQ81_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f360,f644]) ).
fof(f1367,plain,
( ~ sQ56_spl
| ~ sQ81_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f360,f1025]) ).
fof(f1368,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f360,f63]) ).
fof(f1369,plain,
( ~ sQ81_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f360,f67]) ).
fof(f1370,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f360,f61]) ).
fof(f1371,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f360,f59]) ).
fof(f1372,plain,
! [X0] :
( ~ sQ81_spl
| product(X0,e_2,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f360,f66]) ).
fof(f1373,plain,
( ~ sQ36_spl
| ~ sQ81_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1365,f362,f359,f205]) ).
fof(f1374,plain,
( ~ sQ6_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1366,f54]) ).
fof(f1375,plain,
( ~ sQ6_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f1374]) ).
fof(f1376,plain,
( ~ sQ55_spl
| ~ sQ42_spl
| ~ sQ35_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1198,f362,f202,f224,f271]) ).
fof(f1377,plain,
( ~ sQ26_spl
| ~ sQ55_spl
| ~ sQ42_spl
| ~ sQ35_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f1202,f283,f202,f224,f271,f173]) ).
fof(f1378,plain,
( ~ sQ42_spl
| ~ sQ26_spl
| ~ sQ55_spl
| ~ sQ35_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f1215,f104,f202,f271,f173,f224]) ).
fof(f1379,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f357,f63]) ).
fof(f1380,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f357,f61]) ).
fof(f1381,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f357,f59]) ).
fof(f1382,plain,
! [X0] :
( ~ sQ80_spl
| product(X0,e_2,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f357,f66]) ).
fof(f1383,plain,
( ~ sQ21_spl
| ~ sQ79_spl
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f353,f529]) ).
fof(f1384,plain,
( ~ sQ79_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f353,f71]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f353,f63]) ).
fof(f1386,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f353,f61]) ).
fof(f1387,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f353,f59]) ).
fof(f1388,plain,
! [X0] :
( ~ sQ79_spl
| product(X0,e_2,e_5)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f353,f66]) ).
fof(f1389,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1384,f54]) ).
fof(f1390,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f1389]) ).
fof(f1391,plain,
( ~ sQ21_spl
| ~ sQ78_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f350,f529]) ).
fof(f1392,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f350,f63]) ).
fof(f1393,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f350,f61]) ).
fof(f1394,plain,
! [X0] :
( ~ sQ78_spl
| equalish(e_4,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f350,f59]) ).
fof(f1395,plain,
! [X0] :
( ~ sQ78_spl
| product(X0,e_2,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f350,f66]) ).
fof(f1396,plain,
( ~ sQ21_spl
| ~ sQ78_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1391,f170,f349,f152]) ).
fof(f1397,plain,
( ~ sQ21_spl
| ~ sQ77_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f347,f529]) ).
fof(f1398,plain,
( ~ sQ97_spl
| ~ sQ77_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f347,f1111]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f347,f63]) ).
fof(f1400,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f347,f61]) ).
fof(f1401,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f347,f59]) ).
fof(f1402,plain,
! [X0] :
( ~ sQ77_spl
| product(X0,e_2,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f347,f66]) ).
fof(f1403,plain,
( ~ sQ97_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1398,f40]) ).
fof(f1404,plain,
( ~ sQ97_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f1403]) ).
fof(f1405,plain,
( ~ sQ21_spl
| ~ sQ76_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f344,f529]) ).
fof(f1406,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f344,f63]) ).
fof(f1407,plain,
( ~ sQ76_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f344,f67]) ).
fof(f1408,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f344,f61]) ).
fof(f1409,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f344,f59]) ).
fof(f1410,plain,
! [X0] :
( ~ sQ76_spl
| product(X0,e_2,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f344,f66]) ).
fof(f1411,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1407,f44]) ).
fof(f1412,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f1411]) ).
fof(f1413,plain,
( ~ sQ80_spl
| ~ sQ26_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f859,f357]) ).
fof(f1414,plain,
( ~ sQ35_spl
| ~ sQ80_spl
| ~ sQ26_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1413,f788]) ).
fof(f1418,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ26_spl
| product(X0,e_1,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1413,f66]) ).
fof(f1419,plain,
( ~ sQ49_spl
| ~ sQ35_spl
| ~ sQ80_spl
| ~ sQ26_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f1414,f661]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ80_spl
| ~ sQ26_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1414,f63]) ).
fof(f1421,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ80_spl
| ~ sQ26_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1414,f61]) ).
fof(f1422,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ80_spl
| ~ sQ26_spl
| equalish(e_3,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1414,f59]) ).
fof(f1423,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ80_spl
| ~ sQ26_spl
| product(X0,e_5,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1414,f66]) ).
fof(f1424,plain,
( ~ sQ49_spl
| ~ sQ35_spl
| ~ sQ80_spl
| ~ sQ26_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f1419,f271,f173,f356,f202,f246]) ).
fof(f1425,plain,
( ~ sQ6_spl
| ~ sQ75_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f341,f647]) ).
fof(f1426,plain,
( ~ sQ21_spl
| ~ sQ75_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f341,f529]) ).
fof(f1427,plain,
( ~ sQ85_spl
| ~ sQ75_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f341,f1308]) ).
fof(f1428,plain,
( ~ sQ50_spl
| ~ sQ75_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f341,f1098]) ).
fof(f1429,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f341,f63]) ).
fof(f1430,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f341,f61]) ).
fof(f1431,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f341,f59]) ).
fof(f1432,plain,
! [X0] :
( ~ sQ75_spl
| product(X0,e_2,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f341,f66]) ).
fof(f1433,plain,
( ~ sQ85_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1427,f48]) ).
fof(f1434,plain,
( ~ sQ85_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1433]) ).
fof(f1435,plain,
( ~ sQ50_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1428,f46]) ).
fof(f1436,plain,
( ~ sQ50_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1435]) ).
fof(f1437,plain,
( ~ sQ26_spl
| ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1121,f856]) ).
fof(f1438,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1121,f63]) ).
fof(f1439,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1121,f61]) ).
fof(f1440,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1121,f59]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| product(X0,e_1,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1121,f66]) ).
fof(f1442,plain,
( ~ sQ26_spl
| ~ sQ50_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1437,f49]) ).
fof(f1443,plain,
( ~ sQ26_spl
| ~ sQ50_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1442]) ).
fof(f1449,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1314,f63]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1314,f61]) ).
fof(f1451,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| equalish(e_5,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1314,f59]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| product(X0,e_4,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1314,f66]) ).
fof(f1453,plain,
( ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| ~ sQ68_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f910,f1314]) ).
fof(f1459,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| ~ sQ68_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1453,f63]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| ~ sQ68_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1453,f61]) ).
fof(f1461,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| ~ sQ68_spl
| equalish(e_2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1453,f59]) ).
fof(f1462,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ56_spl
| ~ sQ85_spl
| ~ sQ68_spl
| product(X0,e_5,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1453,f66]) ).
fof(f1465,plain,
( ~ sQ124_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f502,f68]) ).
fof(f1466,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f502,f63]) ).
fof(f1467,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f502,f61]) ).
fof(f1468,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f502,f59]) ).
fof(f1469,plain,
! [X0] :
( ~ sQ124_spl
| product(X0,e_1,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f502,f66]) ).
fof(f1471,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1465,f40]) ).
fof(f1472,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f1471]) ).
fof(f1473,plain,
( ~ sQ56_spl
| ~ sQ85_spl
| ~ sQ123_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f499,f1316]) ).
fof(f1474,plain,
( ~ sQ123_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f499,f69]) ).
fof(f1475,plain,
( ~ sQ123_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f499,f68]) ).
fof(f1476,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f499,f63]) ).
fof(f1477,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f499,f61]) ).
fof(f1478,plain,
! [X0] :
( ~ sQ123_spl
| equalish(e_4,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f499,f59]) ).
fof(f1479,plain,
! [X0] :
( ~ sQ123_spl
| product(X0,e_1,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f499,f66]) ).
fof(f1480,plain,
( ~ sQ56_spl
| ~ sQ85_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1473,f45]) ).
fof(f1481,plain,
( ~ sQ56_spl
| ~ sQ85_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f1480]) ).
fof(f1482,plain,
( ~ sQ47_spl
| ~ sQ122_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f496,f669]) ).
fof(f1483,plain,
( ~ sQ122_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f496,f69]) ).
fof(f1484,plain,
( ~ sQ122_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f496,f68]) ).
fof(f1485,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f496,f63]) ).
fof(f1486,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f496,f61]) ).
fof(f1487,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_3,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f496,f59]) ).
fof(f1488,plain,
! [X0] :
( ~ sQ122_spl
| product(X0,e_1,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f496,f66]) ).
fof(f1489,plain,
( ~ sQ47_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1482,f49]) ).
fof(f1490,plain,
( ~ sQ47_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f1489]) ).
fof(f1492,plain,
( ~ sQ121_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f493,f68]) ).
fof(f1493,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f493,f63]) ).
fof(f1494,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f493,f61]) ).
fof(f1495,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_2,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f493,f59]) ).
fof(f1496,plain,
! [X0] :
( ~ sQ121_spl
| product(X0,e_1,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f493,f66]) ).
fof(f1498,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1492,f37]) ).
fof(f1499,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f1498]) ).
fof(f1500,plain,
( ~ sQ85_spl
| ~ sQ119_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f486,f1310]) ).
fof(f1501,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f486,f63]) ).
fof(f1502,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f486,f61]) ).
fof(f1503,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f486,f59]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ119_spl
| product(X0,e_1,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f486,f66]) ).
fof(f1505,plain,
( ~ sQ85_spl
| ~ sQ119_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f1500,f139,f485,f372]) ).
fof(f1506,plain,
( ~ sQ85_spl
| ~ sQ118_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f483,f1310]) ).
fof(f1507,plain,
( ~ sQ56_spl
| ~ sQ85_spl
| ~ sQ118_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f483,f1316]) ).
fof(f1508,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f483,f63]) ).
fof(f1509,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f483,f61]) ).
fof(f1510,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f483,f59]) ).
fof(f1511,plain,
! [X0] :
( ~ sQ118_spl
| product(X0,e_1,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f483,f66]) ).
fof(f1512,plain,
( ~ sQ85_spl
| ~ sQ118_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f1506,f224,f482,f372]) ).
fof(f1513,plain,
( ~ sQ56_spl
| ~ sQ85_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1507,f46]) ).
fof(f1514,plain,
( ~ sQ56_spl
| ~ sQ85_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f1513]) ).
fof(f1515,plain,
( ~ sQ85_spl
| ~ sQ117_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f480,f1310]) ).
fof(f1516,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f480,f63]) ).
fof(f1517,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f480,f61]) ).
fof(f1518,plain,
! [X0] :
( ~ sQ117_spl
| equalish(e_3,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f480,f59]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ117_spl
| product(X0,e_1,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f480,f66]) ).
fof(f1520,plain,
( ~ sQ85_spl
| ~ sQ117_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f1515,f309,f479,f372]) ).
fof(f1522,plain,
( ~ sQ116_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f477,f71]) ).
fof(f1523,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f477,f63]) ).
fof(f1524,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f477,f61]) ).
fof(f1525,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f477,f59]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ116_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f477,f66]) ).
fof(f1528,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1522,f41]) ).
fof(f1529,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f1528]) ).
fof(f1531,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f474,f63]) ).
fof(f1532,plain,
( ~ sQ115_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f474,f67]) ).
fof(f1533,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f474,f61]) ).
fof(f1534,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f474,f59]) ).
fof(f1535,plain,
! [X0] :
( ~ sQ115_spl
| product(X0,e_1,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f474,f66]) ).
fof(f1537,plain,
( ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1532,f37]) ).
fof(f1538,plain,
~ sQ115_spl,
inference(contradiction_clause,[status(thm)],[f1537]) ).
fof(f1539,plain,
( ~ sQ71_spl
| ~ sQ89_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1277,f117,f384,f322]) ).
fof(f1540,plain,
( ~ sQ56_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1367,f46]) ).
fof(f1541,plain,
( ~ sQ56_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f1540]) ).
fof(f1542,plain,
( ~ sQ65_spl
| ~ sQ114_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f470,f971]) ).
fof(f1543,plain,
( ~ sQ50_spl
| ~ sQ114_spl
| product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f470,f1101]) ).
fof(f1544,plain,
( ~ sQ89_spl
| ~ sQ114_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f470,f1278]) ).
fof(f1545,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f470,f63]) ).
fof(f1546,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f470,f61]) ).
fof(f1547,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_5,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f470,f59]) ).
fof(f1548,plain,
! [X0] :
( ~ sQ114_spl
| product(X0,e_1,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f470,f66]) ).
fof(f1549,plain,
( ~ sQ65_spl
| ~ sQ114_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f1542,f120,f469,f303]) ).
fof(f1550,plain,
( ~ sQ50_spl
| ~ sQ114_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f1543,f129,f469,f255]) ).
fof(f1551,plain,
( ~ sQ89_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1544,f41]) ).
fof(f1552,plain,
( ~ sQ89_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f1551]) ).
fof(f1553,plain,
( ~ sQ65_spl
| ~ sQ113_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f467,f971]) ).
fof(f1554,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f467,f1101]) ).
fof(f1555,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f467,f63]) ).
fof(f1556,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f467,f61]) ).
fof(f1557,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f467,f59]) ).
fof(f1558,plain,
! [X0] :
( ~ sQ113_spl
| product(X0,e_1,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f467,f66]) ).
fof(f1559,plain,
( ~ sQ65_spl
| ~ sQ113_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1553,f205,f466,f303]) ).
fof(f1560,plain,
( ~ sQ50_spl
| ~ sQ112_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f464,f1101]) ).
fof(f1561,plain,
( ~ sQ117_spl
| ~ sQ112_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f464,f1517]) ).
fof(f1562,plain,
( ~ sQ112_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f464,f71]) ).
fof(f1563,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f464,f63]) ).
fof(f1564,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f464,f61]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f464,f59]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ112_spl
| product(X0,e_1,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f464,f66]) ).
fof(f1567,plain,
( ~ sQ50_spl
| ~ sQ112_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1560,f299,f463,f255]) ).
fof(f1568,plain,
( ~ sQ117_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1561,f42]) ).
fof(f1569,plain,
( ~ sQ117_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f1568]) ).
fof(f1570,plain,
( ~ sQ50_spl
| ~ sQ111_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f461,f1101]) ).
fof(f1571,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f461,f63]) ).
fof(f1572,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f461,f61]) ).
fof(f1573,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f461,f59]) ).
fof(f1574,plain,
! [X0] :
( ~ sQ111_spl
| product(X0,e_1,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f461,f66]) ).
fof(f1576,plain,
( ~ sQ71_spl
| ~ sQ50_spl
| ~ sQ111_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1570,f895]) ).
fof(f1577,plain,
( ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1570,f1028]) ).
fof(f1583,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ111_spl
| product(X0,e_2,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1570,f66]) ).
fof(f1584,plain,
( ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f1577,f126,f460,f255,f274]) ).
fof(f1585,plain,
( ~ sQ50_spl
| ~ sQ110_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f458,f1101]) ).
fof(f1586,plain,
( ~ sQ10_spl
| ~ sQ110_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f458,f611]) ).
fof(f1587,plain,
( ~ sQ35_spl
| ~ sQ110_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f458,f785]) ).
fof(f1588,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f458,f63]) ).
fof(f1589,plain,
( ~ sQ110_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f458,f67]) ).
fof(f1590,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f458,f61]) ).
fof(f1591,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f458,f59]) ).
fof(f1592,plain,
! [X0] :
( ~ sQ110_spl
| product(X0,e_1,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f458,f66]) ).
fof(f1593,plain,
( ~ sQ50_spl
| ~ sQ110_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1585,f469,f457,f255]) ).
fof(f1594,plain,
( ~ sQ10_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1586,f53]) ).
fof(f1595,plain,
( ~ sQ10_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f1594]) ).
fof(f1599,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ111_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1570,f63]) ).
fof(f1600,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ111_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1570,f61]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ111_spl
| equalish(e_5,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1570,f59]) ).
fof(f1602,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ111_spl
| product(X0,e_2,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1570,f66]) ).
fof(f1603,plain,
( ~ sQ40_spl
| ~ sQ80_spl
| ~ sQ26_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1413,f750]) ).
fof(f1604,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ26_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1413,f63]) ).
fof(f1605,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ26_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1413,f61]) ).
fof(f1606,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ26_spl
| equalish(e_5,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1413,f59]) ).
fof(f1607,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ26_spl
| product(X0,e_1,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1413,f66]) ).
fof(f1608,plain,
( ~ sQ40_spl
| ~ sQ80_spl
| ~ sQ26_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f1603,f104,f173,f356,f218]) ).
fof(f1610,plain,
( ~ sQ108_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f451,f71]) ).
fof(f1611,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f451,f63]) ).
fof(f1612,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f451,f61]) ).
fof(f1613,plain,
! [X0] :
( ~ sQ108_spl
| equalish(e_4,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f451,f59]) ).
fof(f1614,plain,
! [X0] :
( ~ sQ108_spl
| product(X0,e_1,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f451,f66]) ).
fof(f1616,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1610,f49]) ).
fof(f1617,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f1616]) ).
fof(f1618,plain,
( ~ sQ40_spl
| ~ sQ107_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f448,f750]) ).
fof(f1619,plain,
( ~ sQ117_spl
| ~ sQ107_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f448,f1517]) ).
fof(f1620,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f448,f63]) ).
fof(f1621,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f448,f61]) ).
fof(f1622,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f448,f59]) ).
fof(f1623,plain,
! [X0] :
( ~ sQ107_spl
| product(X0,e_1,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f448,f66]) ).
fof(f1624,plain,
( ~ sQ40_spl
| ~ sQ107_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f1618,f274,f447,f218]) ).
fof(f1625,plain,
( ~ sQ117_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1619,f43]) ).
fof(f1626,plain,
( ~ sQ117_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f1625]) ).
fof(f1627,plain,
( ~ sQ40_spl
| ~ sQ106_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f445,f750]) ).
fof(f1628,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f445,f63]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f445,f61]) ).
fof(f1630,plain,
! [X0] :
( ~ sQ106_spl
| equalish(e_2,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f445,f59]) ).
fof(f1631,plain,
! [X0] :
( ~ sQ106_spl
| product(X0,e_1,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f445,f66]) ).
fof(f1632,plain,
( ~ sQ40_spl
| ~ sQ106_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1627,f359,f444,f218]) ).
fof(f1633,plain,
( ~ sQ35_spl
| ~ sQ5_spl
| ~ sQ44_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1320,f362,f230,f101,f202]) ).
fof(f1634,plain,
( ~ sQ55_spl
| ~ sQ105_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f442,f1052]) ).
fof(f1635,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f442,f63]) ).
fof(f1636,plain,
( ~ sQ105_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f442,f67]) ).
fof(f1637,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f442,f61]) ).
fof(f1638,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f442,f59]) ).
fof(f1639,plain,
! [X0] :
( ~ sQ105_spl
| product(X0,e_1,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f442,f66]) ).
fof(f1640,plain,
( ~ sQ55_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1634,f45]) ).
fof(f1641,plain,
( ~ sQ55_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f1640]) ).
fof(f1642,plain,
( ~ sQ104_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f438,f71]) ).
fof(f1643,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f438,f63]) ).
fof(f1644,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f438,f61]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ104_spl
| equalish(e_5,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f438,f59]) ).
fof(f1646,plain,
! [X0] :
( ~ sQ104_spl
| product(X0,e_1,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f438,f66]) ).
fof(f1647,plain,
( ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1642,f53]) ).
fof(f1648,plain,
~ sQ104_spl,
inference(contradiction_clause,[status(thm)],[f1647]) ).
fof(f1649,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f435,f63]) ).
fof(f1650,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f435,f61]) ).
fof(f1651,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f435,f59]) ).
fof(f1652,plain,
! [X0] :
( ~ sQ103_spl
| product(X0,e_1,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f435,f66]) ).
fof(f1653,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f432,f63]) ).
fof(f1654,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f432,f61]) ).
fof(f1655,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f432,f59]) ).
fof(f1656,plain,
! [X0] :
( ~ sQ102_spl
| product(X0,e_1,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f432,f66]) ).
fof(f1657,plain,
( ~ sQ26_spl
| ~ sQ101_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f429,f856]) ).
fof(f1658,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f429,f63]) ).
fof(f1659,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f429,f61]) ).
fof(f1660,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f429,f59]) ).
fof(f1661,plain,
! [X0] :
( ~ sQ101_spl
| product(X0,e_1,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f429,f66]) ).
fof(f1662,plain,
( ~ sQ26_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1657,f49]) ).
fof(f1663,plain,
( ~ sQ26_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f1662]) ).
fof(f1667,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ80_spl
| ~ sQ26_spl
| product(X0,e_5,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1414,f66]) ).
fof(f1672,plain,
( ~ sQ35_spl
| ~ sQ80_spl
| ~ sQ26_spl
| ~ sQ44_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f687,f1414]) ).
fof(f1673,plain,
( ~ sQ35_spl
| ~ sQ80_spl
| ~ sQ26_spl
| ~ sQ44_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f1672,f274,f230,f173,f356,f202]) ).
fof(f1674,plain,
( ~ sQ102_spl
| ~ sQ10_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f614,f432]) ).
fof(f1675,plain,
( ~ sQ103_spl
| ~ sQ10_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f614,f435]) ).
fof(f1676,plain,
( ~ sQ102_spl
| ~ sQ10_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1674,f261,f117,f431]) ).
fof(f1677,plain,
( ~ sQ18_spl
| ~ sQ103_spl
| ~ sQ10_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f1675,f551]) ).
fof(f1678,plain,
( ~ sQ23_spl
| ~ sQ103_spl
| ~ sQ10_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f1675,f515]) ).
fof(f1679,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ10_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1675,f63]) ).
fof(f1680,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ10_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1675,f61]) ).
fof(f1681,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1675,f59]) ).
fof(f1682,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ10_spl
| product(X0,e_4,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1675,f66]) ).
fof(f1683,plain,
( ~ sQ18_spl
| ~ sQ103_spl
| ~ sQ10_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1677,f258,f117,f434,f142]) ).
fof(f1684,plain,
( sQ89_spl
| ~ sQ50_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f1570]) ).
fof(f1685,plain,
( sQ89_spl
| ~ sQ50_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f1684]) ).
fof(f1689,plain,
( ~ sQ10_spl
| ~ sQ100_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f426,f614]) ).
fof(f1690,plain,
( ~ sQ25_spl
| ~ sQ100_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f426,f867]) ).
fof(f1691,plain,
( ~ sQ50_spl
| ~ sQ100_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f426,f1098]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f426,f63]) ).
fof(f1693,plain,
( ~ sQ100_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f426,f67]) ).
fof(f1694,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f426,f61]) ).
fof(f1695,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f426,f59]) ).
fof(f1696,plain,
! [X0] :
( ~ sQ100_spl
| product(X0,e_1,e_5)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f426,f66]) ).
fof(f1697,plain,
( ~ sQ10_spl
| ~ sQ100_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1689,f431,f425,f117]) ).
fof(f1698,plain,
( ~ sQ25_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1690,f49]) ).
fof(f1699,plain,
( ~ sQ25_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f1698]) ).
fof(f1700,plain,
( ~ sQ25_spl
| ~ sQ55_spl
| ~ sQ42_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f1064,f870]) ).
fof(f1701,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| ~ sQ42_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1064,f1572]) ).
fof(f1706,plain,
( ~ sQ25_spl
| ~ sQ55_spl
| ~ sQ42_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f1700,f368,f224,f271,f170]) ).
fof(f1707,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1701,f47]) ).
fof(f1708,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1707]) ).
fof(f1710,plain,
( ~ sQ65_spl
| ~ sQ50_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f256,f969]) ).
fof(f1712,plain,
( ~ sQ25_spl
| ~ sQ50_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f256,f867]) ).
fof(f1718,plain,
( ~ sQ65_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1710,f44]) ).
fof(f1719,plain,
( ~ sQ65_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1718]) ).
fof(f1720,plain,
( ~ sQ25_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1712,f51]) ).
fof(f1721,plain,
( ~ sQ25_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1720]) ).
fof(f1725,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ26_spl
| product(X0,e_1,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1413,f66]) ).
fof(f1730,plain,
( ~ sQ73_spl
| ~ sQ50_spl
| ~ sQ113_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1554,f883]) ).
fof(f1731,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1554,f63]) ).
fof(f1732,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1554,f61]) ).
fof(f1733,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| equalish(e_5,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1554,f59]) ).
fof(f1734,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| product(X0,e_4,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1554,f66]) ).
fof(f1735,plain,
( ~ sQ73_spl
| ~ sQ50_spl
| ~ sQ113_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1730,f117,f466,f255,f328]) ).
fof(f1738,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ68_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f910,f1554]) ).
fof(f1739,plain,
( ~ sQ50_spl
| ~ sQ7_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f635,f256]) ).
fof(f1740,plain,
( ~ sQ15_spl
| ~ sQ50_spl
| ~ sQ7_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1739,f575]) ).
fof(f1741,plain,
( ~ sQ118_spl
| ~ sQ50_spl
| ~ sQ7_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1739,f1509]) ).
fof(f1742,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ7_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1739,f63]) ).
fof(f1743,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ7_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1739,f61]) ).
fof(f1744,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1739,f59]) ).
fof(f1745,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ7_spl
| product(X0,e_1,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1739,f66]) ).
fof(f1746,plain,
( ~ sQ118_spl
| ~ sQ50_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1741,f44]) ).
fof(f1747,plain,
( ~ sQ118_spl
| ~ sQ50_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1746]) ).
fof(f1749,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ68_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1738,f63]) ).
fof(f1750,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ68_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1738,f61]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ68_spl
| equalish(e_2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1738,f59]) ).
fof(f1752,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ68_spl
| product(X0,e_5,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1738,f66]) ).
fof(f1753,plain,
( ~ sQ23_spl
| ~ sQ15_spl
| ~ sQ50_spl
| ~ sQ7_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f1740,f515]) ).
fof(f1754,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ50_spl
| ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1740,f63]) ).
fof(f1755,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ50_spl
| ~ sQ7_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1740,f61]) ).
fof(f1756,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ50_spl
| ~ sQ7_spl
| equalish(e_2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1740,f59]) ).
fof(f1757,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ50_spl
| ~ sQ7_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1740,f66]) ).
fof(f1758,plain,
( ~ sQ23_spl
| ~ sQ15_spl
| ~ sQ50_spl
| ~ sQ7_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f1753,f340,f107,f255,f133,f158]) ).
fof(f1761,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ68_spl
| ~ sQ74_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f879,f1738]) ).
fof(f1762,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ68_spl
| ~ sQ74_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f1761,f372,f331,f312,f466,f255]) ).
fof(f1767,plain,
( ~ sQ50_spl
| ~ sQ55_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1053,f256]) ).
fof(f1768,plain,
( ~ sQ50_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1767,f52]) ).
fof(f1769,plain,
( ~ sQ50_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1768]) ).
fof(f1770,plain,
( ~ sQ50_spl
| ~ sQ7_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f1739,f434,f107,f255]) ).
fof(f1771,plain,
( ~ sQ10_spl
| ~ sQ50_spl
| ~ sQ17_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f1124,f346,f139,f255,f117]) ).
fof(f1772,plain,
( ~ sQ50_spl
| ~ sQ7_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f635,f256]) ).
fof(f1773,plain,
( ~ sQ50_spl
| ~ sQ17_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f559,f256]) ).
fof(f1774,plain,
( ~ sQ71_spl
| ~ sQ50_spl
| ~ sQ111_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f1570,f895]) ).
fof(f1775,plain,
( ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1570,f1028]) ).
fof(f1779,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ111_spl
| product(X0,e_2,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1570,f66]) ).
fof(f1780,plain,
( ~ sQ10_spl
| ~ sQ50_spl
| ~ sQ17_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f1121,f614]) ).
fof(f1781,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1121,f63]) ).
fof(f1782,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1121,f61]) ).
fof(f1783,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1121,f59]) ).
fof(f1784,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| product(X0,e_1,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1121,f66]) ).
fof(f1785,plain,
( ~ sQ13_spl
| ~ sQ103_spl
| ~ sQ10_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f1675,f589]) ).
fof(f1786,plain,
( ~ sQ23_spl
| ~ sQ103_spl
| ~ sQ10_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f1675,f515]) ).
fof(f1787,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ10_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1675,f63]) ).
fof(f1788,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ10_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1675,f61]) ).
fof(f1789,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1675,f59]) ).
fof(f1790,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ10_spl
| product(X0,e_4,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1675,f66]) ).
fof(f1791,plain,
( ~ sQ13_spl
| ~ sQ103_spl
| ~ sQ10_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1785,f261,f117,f434,f126]) ).
fof(f1792,plain,
( ~ sQ23_spl
| ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1775,f513]) ).
fof(f1793,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1775,f63]) ).
fof(f1794,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1775,f61]) ).
fof(f1795,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| equalish(e_4,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1775,f59]) ).
fof(f1796,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| product(X0,e_5,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1775,f66]) ).
fof(f1797,plain,
( ~ sQ23_spl
| ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1792,f38]) ).
fof(f1798,plain,
( ~ sQ23_spl
| ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f1797]) ).
fof(f1806,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ73_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f883,f1554]) ).
fof(f1807,plain,
( ~ sQ69_spl
| ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ73_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1806,f906]) ).
fof(f1808,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ73_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1806,f63]) ).
fof(f1809,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ73_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1806,f61]) ).
fof(f1810,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ73_spl
| equalish(e_1,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1806,f59]) ).
fof(f1811,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ73_spl
| product(X0,e_5,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1806,f66]) ).
fof(f1812,plain,
( ~ sQ69_spl
| ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ73_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f1807,f460,f328,f466,f255,f315]) ).
fof(f1813,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ68_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f1738,f120,f312,f466,f255]) ).
fof(f1817,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1773,f63]) ).
fof(f1818,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1773,f61]) ).
fof(f1819,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1773,f59]) ).
fof(f1820,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ17_spl
| product(X0,e_1,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1773,f66]) ).
fof(f1821,plain,
( ~ sQ10_spl
| ~ sQ50_spl
| ~ sQ7_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1772,f614]) ).
fof(f1825,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ7_spl
| product(X0,e_1,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1772,f66]) ).
fof(f1826,plain,
( ~ sQ23_spl
| ~ sQ103_spl
| ~ sQ10_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f1675,f515]) ).
fof(f1827,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ10_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1675,f63]) ).
fof(f1828,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ10_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1675,f61]) ).
fof(f1829,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1675,f59]) ).
fof(f1830,plain,
! [X0] :
( ~ sQ103_spl
| ~ sQ10_spl
| product(X0,e_4,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1675,f66]) ).
fof(f1831,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1780,f63]) ).
fof(f1832,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1780,f61]) ).
fof(f1833,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ50_spl
| ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1780,f59]) ).
fof(f1834,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ50_spl
| ~ sQ17_spl
| product(X0,e_2,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1780,f66]) ).
fof(f1837,plain,
( ~ sQ50_spl
| ~ sQ7_spl
| ~ sQ17_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1154,f1772]) ).
fof(f1839,plain,
( ~ sQ50_spl
| ~ sQ7_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1837,f43]) ).
fof(f1840,plain,
( ~ sQ50_spl
| ~ sQ7_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f1839]) ).
fof(f1841,plain,
( ~ sQ53_spl
| ~ sQ17_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1123,f173,f139,f264]) ).
fof(f1842,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ44_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f685,f1554]) ).
fof(f1843,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1842,f42]) ).
fof(f1844,plain,
( ~ sQ50_spl
| ~ sQ113_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f1843]) ).
fof(f1849,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ7_spl
| product(X0,e_1,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1772,f66]) ).
fof(f1853,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ50_spl
| ~ sQ7_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1740,f66]) ).
fof(f1858,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ111_spl
| product(X0,e_2,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1570,f66]) ).
fof(f1859,plain,
( ~ sQ74_spl
| ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1775,f879]) ).
fof(f1863,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| product(X0,e_5,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1775,f66]) ).
fof(f1864,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1859,f63]) ).
fof(f1865,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1859,f61]) ).
fof(f1866,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| equalish(e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1859,f59]) ).
fof(f1867,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| product(X0,e_4,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1859,f66]) ).
fof(f1869,plain,
( ~ sQ15_spl
| ~ sQ50_spl
| ~ sQ7_spl
| ~ sQ13_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f589,f1740]) ).
fof(f1871,plain,
( ~ sQ74_spl
| ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| ~ sQ68_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f910,f1859]) ).
fof(f1878,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ50_spl
| ~ sQ7_spl
| ~ sQ13_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1869,f63]) ).
fof(f1879,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ50_spl
| ~ sQ7_spl
| ~ sQ13_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1869,f61]) ).
fof(f1880,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ50_spl
| ~ sQ7_spl
| ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1869,f59]) ).
fof(f1881,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ50_spl
| ~ sQ7_spl
| ~ sQ13_spl
| product(X0,e_2,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1869,f66]) ).
fof(f1883,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| ~ sQ68_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1871,f63]) ).
fof(f1884,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| ~ sQ68_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1871,f61]) ).
fof(f1885,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| ~ sQ68_spl
| equalish(e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1871,f59]) ).
fof(f1902,plain,
( ~ sQ35_spl
| ~ sQ109_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f454,f788]) ).
fof(f1903,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f454,f63]) ).
fof(f1904,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f454,f61]) ).
fof(f1905,plain,
! [X0] :
( ~ sQ109_spl
| equalish(e_5,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f454,f59]) ).
fof(f1906,plain,
! [X0] :
( ~ sQ109_spl
| product(X0,e_1,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f454,f66]) ).
fof(f1907,plain,
( ~ sQ47_spl
| ~ sQ56_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f275,f672]) ).
fof(f1915,plain,
( ~ sQ47_spl
| ~ sQ56_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1907,f356,f274,f240]) ).
fof(f1916,plain,
( sQ35_spl
| ~ sQ74_spl
| ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f204,f1859]) ).
fof(f1917,plain,
( sQ35_spl
| ~ sQ74_spl
| ~ sQ56_spl
| ~ sQ50_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f1916]) ).
fof(f1918,plain,
( ~ sQ44_spl
| ~ sQ35_spl
| ~ sQ109_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1902,f687]) ).
fof(f1919,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ109_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1902,f63]) ).
fof(f1920,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ109_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1902,f61]) ).
fof(f1921,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ109_spl
| equalish(e_3,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1902,f59]) ).
fof(f1922,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ109_spl
| product(X0,e_5,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1902,f66]) ).
fof(f1931,plain,
( ~ sQ98_spl
| ~ sQ44_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f231,f1109]) ).
fof(f1939,plain,
( ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ44_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1931,f1281]) ).
fof(f1942,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ44_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1931,f63]) ).
fof(f1943,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ44_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1931,f61]) ).
fof(f1944,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ44_spl
| equalish(e_1,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1931,f59]) ).
fof(f1945,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ44_spl
| product(X0,e_5,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1931,f66]) ).
fof(f1946,plain,
( ~ sQ80_spl
| ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ44_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f1939,f1382]) ).
fof(f1950,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ44_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1939,f63]) ).
fof(f1951,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ44_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1939,f61]) ).
fof(f1952,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ44_spl
| equalish(e_3,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1939,f59]) ).
fof(f1953,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ44_spl
| product(X0,e_1,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1939,f66]) ).
fof(f1958,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ44_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1946,f63]) ).
fof(f1959,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ44_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1946,f61]) ).
fof(f1960,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ44_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1946,f59]) ).
fof(f1961,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ89_spl
| ~ sQ98_spl
| ~ sQ44_spl
| product(X0,e_3,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1946,f66]) ).
fof(f1963,plain,
( ~ sQ117_spl
| ~ sQ74_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f332,f1519]) ).
fof(f1971,plain,
( ~ sQ111_spl
| ~ sQ98_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f414,f1574]) ).
fof(f1979,plain,
( ~ sQ109_spl
| ~ sQ117_spl
| ~ sQ74_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f1963,f1906]) ).
fof(f1982,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ74_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1963,f63]) ).
fof(f1983,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ74_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1963,f61]) ).
fof(f1984,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ74_spl
| equalish(e_2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1963,f59]) ).
fof(f1985,plain,
! [X0] :
( ~ sQ117_spl
| ~ sQ74_spl
| product(X0,e_5,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1963,f66]) ).
fof(f1987,plain,
( ~ sQ103_spl
| ~ sQ111_spl
| ~ sQ98_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f1971,f1652]) ).
fof(f1990,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ98_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1971,f63]) ).
fof(f1991,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ98_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1971,f61]) ).
fof(f1992,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ98_spl
| equalish(e_3,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1971,f59]) ).
fof(f1993,plain,
! [X0] :
( ~ sQ111_spl
| ~ sQ98_spl
| product(X0,e_4,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1971,f66]) ).
fof(f1995,plain,
( ~ sQ26_spl
| ~ sQ80_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f357,f859]) ).
fof(model,axiom,
( sQ4_spl
| ~ sQ5_spl
| sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ13_spl
| ~ sQ14_spl
| sQ15_spl
| ~ sQ16_spl
| ~ sQ17_spl
| ~ sQ19_spl
| ~ sQ20_spl
| sQ21_spl
| ~ sQ22_spl
| ~ sQ23_spl
| ~ sQ24_spl
| ~ sQ25_spl
| sQ26_spl
| ~ sQ27_spl
| ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| sQ33_spl
| ~ sQ34_spl
| sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| ~ 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
| ~ sQ54_spl
| ~ sQ55_spl
| sQ56_spl
| ~ sQ57_spl
| ~ sQ58_spl
| ~ sQ60_spl
| ~ sQ61_spl
| sQ62_spl
| ~ sQ63_spl
| ~ sQ64_spl
| ~ sQ65_spl
| ~ sQ66_spl
| ~ sQ67_spl
| sQ68_spl
| ~ sQ69_spl
| ~ sQ70_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl
| sQ77_spl
| ~ sQ78_spl
| ~ sQ79_spl
| sQ80_spl
| ~ sQ81_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| ~ sQ86_spl
| ~ sQ87_spl
| ~ sQ88_spl
| sQ89_spl
| sQ91_spl
| ~ sQ92_spl
| ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| ~ sQ96_spl
| ~ sQ97_spl
| sQ98_spl
| ~ sQ101_spl
| sQ103_spl
| ~ sQ104_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
| sQ120_spl
| ~ sQ121_spl
| ~ sQ122_spl
| ~ sQ124_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP127-1.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n019.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:00:19 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.65 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.13/0.65 % SZS output start Saturation for theBenchmark
% See solution above
% 0.29/0.72 % Elapsed time: 0.339478 seconds
% 0.29/0.72 % CPU time: 1.898438 seconds
% 0.29/0.72 % Total memory used: 24.975 MB
% 0.29/0.72 % Net memory used: 24.385 MB
%------------------------------------------------------------------------------