%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP123-1.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 12:35:40 PM UTC 2026
% Result : Satisfiable 11.11s 6.90s
% Output : Saturation 0.94s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] :
( product(X,Y,e_5)
| product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( equalish(X1,X2)
| ~ product(Z2,Y2,X2)
| ~ product(Z2,Y1,X1)
| ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( equalish(Y1,Y2)
| ~ product(Z2,Y2,X2)
| ~ product(Z2,Y1,X1)
| ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f35,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f36,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f37,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f38,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f39,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f40,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f41,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f42,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f43,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f44,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f45,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f46,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f47,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f48,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f49,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f50,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f51,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f52,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f53,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f54,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f55,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f56,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f57,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f58,plain,
! [X0,X1] :
( product(X0,X1,e_5)
| product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f59,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f66,plain,
! [X1,X2] :
( equalish(X1,X2)
| ! [Y2,Z2] :
( ~ product(Z2,Y2,X2)
| ! [Y1] :
( ~ product(Z2,Y1,X1)
| ! [Z1] :
( ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ) ) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f67,plain,
! [X0,X1,X2,X3,X4,X5] :
( equalish(X0,X3)
| ~ product(X5,X4,X3)
| ~ product(X5,X1,X0)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,plain,
! [Y1,Y2] :
( equalish(Y1,Y2)
| ! [X2,Z2] :
( ~ product(Z2,Y2,X2)
| ! [X1] :
( ~ product(Z2,Y1,X1)
| ! [Z1] :
( ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ) ) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f69,plain,
! [X0,X1,X2,X3,X4,X5] :
( equalish(X1,X4)
| ~ product(X5,X4,X3)
| ~ product(X5,X1,X0)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X1)
| ~ product(X3,X1,X0)
| ~ product(X3,X2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f65,f69]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X0)
| ~ product(X3,X1,X0)
| ~ product(X3,X2,X2)
| ~ product(X0,X1,X2) ),
inference(resolution,[status(thm)],[f65,f67]) ).
fof(f72,plain,
! [X0,X1] :
( equalish(X1,X1)
| ~ product(X0,X1,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f70,f65]) ).
fof(f73,plain,
! [X0,X1] :
( equalish(X1,X1)
| ~ product(X0,X1,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f72]) ).
fof(f76,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f73,f65]) ).
fof(f77,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f60,f65]) ).
fof(f79,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f62,f65]) ).
fof(f81,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f64,f65]) ).
fof(f83,plain,
! [X0] :
( product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f58,f37]) ).
fof(f84,plain,
! [X0] :
( product(e_4,X0,e_5)
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f58,f36]) ).
fof(f85,plain,
! [X0] :
( product(e_3,X0,e_5)
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f58,f35]) ).
fof(f86,plain,
! [X0] :
( product(e_2,X0,e_5)
| product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f58,f34]) ).
fof(f87,plain,
! [X0] :
( product(e_1,X0,e_5)
| product(e_1,X0,e_4)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f58,f33]) ).
fof(f88,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f83,f37]) ).
fof(f89,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f83,f36]) ).
fof(f90,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f83,f35]) ).
fof(f91,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f83,f34]) ).
fof(f92,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f83,f33]) ).
fof(f93,definition,
( sQ0_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f94,plain,
( ~ sQ0_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f95,plain,
( sQ0_spl
| ~ product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,definition,
( sQ1_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( ~ sQ1_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f98,plain,
( sQ1_spl
| ~ product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,definition,
( sQ2_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( ~ sQ2_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f101,plain,
( sQ2_spl
| ~ product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,definition,
( sQ3_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f103,plain,
( ~ sQ3_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f104,plain,
( sQ3_spl
| ~ product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,definition,
( sQ4_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f88,f93,f96,f99,f102,f105]) ).
fof(f109,definition,
( sQ5_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ5_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f111,plain,
( sQ5_spl
| ~ product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,definition,
( sQ6_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( ~ sQ6_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f114,plain,
( sQ6_spl
| ~ product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,definition,
( sQ7_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f116,plain,
( ~ sQ7_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f117,plain,
( sQ7_spl
| ~ product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,definition,
( sQ8_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ8_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f120,plain,
( sQ8_spl
| ~ product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ9_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ9_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f123,plain,
( sQ9_spl
| ~ product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f89,f109,f112,f115,f118,f121]) ).
fof(f125,definition,
( sQ10_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ10_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f127,plain,
( sQ10_spl
| ~ product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,definition,
( sQ11_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( ~ sQ11_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f130,plain,
( sQ11_spl
| ~ product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f131,definition,
( sQ12_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( ~ sQ12_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f133,plain,
( sQ12_spl
| ~ product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,definition,
( sQ13_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( ~ sQ13_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f136,plain,
( sQ13_spl
| ~ product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,definition,
( sQ14_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ14_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f139,plain,
( sQ14_spl
| ~ product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f90,f125,f128,f131,f134,f137]) ).
fof(f141,definition,
( sQ15_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ15_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f143,plain,
( sQ15_spl
| ~ product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,definition,
( sQ16_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( ~ sQ16_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f146,plain,
( sQ16_spl
| ~ product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,definition,
( sQ17_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( ~ sQ17_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f149,plain,
( sQ17_spl
| ~ product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,definition,
( sQ18_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ18_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f152,plain,
( sQ18_spl
| ~ product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,definition,
( sQ19_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ19_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f155,plain,
( sQ19_spl
| ~ product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f91,f141,f144,f147,f150,f153]) ).
fof(f157,definition,
( sQ20_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ20_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f159,plain,
( sQ20_spl
| ~ product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,definition,
( sQ21_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f161,plain,
( ~ sQ21_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f162,plain,
( sQ21_spl
| ~ product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,definition,
( sQ22_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( ~ sQ22_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f165,plain,
( sQ22_spl
| ~ product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,definition,
( sQ23_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ23_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f168,plain,
( sQ23_spl
| ~ product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,definition,
( sQ24_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ24_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( sQ24_spl
| ~ product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f92,f157,f160,f163,f166,f169]) ).
fof(f173,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f84,f37]) ).
fof(f174,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f84,f36]) ).
fof(f175,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f84,f35]) ).
fof(f176,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f84,f34]) ).
fof(f177,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f84,f33]) ).
fof(f178,definition,
( sQ25_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ25_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f180,plain,
( sQ25_spl
| ~ product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,definition,
( sQ26_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( ~ sQ26_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f183,plain,
( sQ26_spl
| ~ product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f184,definition,
( sQ27_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f185,plain,
( ~ sQ27_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f186,plain,
( sQ27_spl
| ~ product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f184]) ).
fof(f187,definition,
( sQ28_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ28_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f189,plain,
( sQ28_spl
| ~ product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,definition,
( sQ29_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ29_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f192,plain,
( sQ29_spl
| ~ product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f173,f178,f181,f184,f187,f190]) ).
fof(f194,definition,
( sQ30_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ30_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f196,plain,
( sQ30_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,definition,
( sQ31_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( ~ sQ31_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f199,plain,
( sQ31_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,definition,
( sQ32_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ32_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f202,plain,
( sQ32_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,definition,
( sQ33_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f206,definition,
( sQ34_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ34_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f174,f194,f197,f200,f203,f206]) ).
fof(f210,definition,
( sQ35_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ35_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f212,plain,
( sQ35_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,definition,
( sQ36_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ36_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f215,plain,
( sQ36_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,definition,
( sQ37_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ37_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f218,plain,
( sQ37_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,definition,
( sQ38_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ38_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f221,plain,
( sQ38_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,definition,
( sQ39_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ39_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f224,plain,
( sQ39_spl
| ~ product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f175,f210,f213,f216,f219,f222]) ).
fof(f226,definition,
( sQ40_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ40_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f228,plain,
( sQ40_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ41_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ41_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f231,plain,
( sQ41_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,definition,
( sQ42_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ42_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f234,plain,
( sQ42_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,definition,
( sQ43_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ43_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f237,plain,
( sQ43_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ44_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ44_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f240,plain,
( sQ44_spl
| ~ product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f176,f226,f229,f232,f235,f238]) ).
fof(f242,definition,
( sQ45_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( ~ sQ45_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f244,plain,
( sQ45_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,definition,
( sQ46_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ46_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f247,plain,
( sQ46_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,definition,
( sQ47_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ47_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f250,plain,
( sQ47_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,definition,
( sQ48_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( ~ sQ48_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f253,plain,
( sQ48_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,definition,
( sQ49_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ49_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( sQ49_spl
| ~ product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f177,f242,f245,f248,f251,f254]) ).
fof(f258,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f85,f37]) ).
fof(f259,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f85,f36]) ).
fof(f260,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f85,f35]) ).
fof(f261,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f85,f34]) ).
fof(f262,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f85,f33]) ).
fof(f263,definition,
( sQ50_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ50_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f265,plain,
( sQ50_spl
| ~ product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,definition,
( sQ51_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f267,plain,
( ~ sQ51_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f268,plain,
( sQ51_spl
| ~ product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,definition,
( sQ52_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ52_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f271,plain,
( sQ52_spl
| ~ product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,definition,
( sQ53_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ53_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( sQ53_spl
| ~ product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,definition,
( sQ54_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ54_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f277,plain,
( sQ54_spl
| ~ product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f258,f263,f266,f269,f272,f275]) ).
fof(f279,definition,
( sQ55_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ55_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( sQ55_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ56_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ56_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f284,plain,
( sQ56_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,definition,
( sQ57_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ57_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f287,plain,
( sQ57_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,definition,
( sQ58_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ58_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f290,plain,
( sQ58_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ59_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ59_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f293,plain,
( sQ59_spl
| ~ product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f259,f279,f282,f285,f288,f291]) ).
fof(f295,definition,
( sQ60_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ60_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f297,plain,
( sQ60_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,definition,
( sQ61_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ61_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f300,plain,
( sQ61_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,definition,
( sQ62_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f304,definition,
( sQ63_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ63_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,definition,
( sQ64_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ64_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f260,f295,f298,f301,f304,f307]) ).
fof(f311,definition,
( sQ65_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ65_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f313,plain,
( sQ65_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,definition,
( sQ66_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ66_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f316,plain,
( sQ66_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
( sQ67_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ67_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f319,plain,
( sQ67_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,definition,
( sQ68_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ68_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f322,plain,
( sQ68_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,definition,
( sQ69_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( ~ sQ69_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f325,plain,
( sQ69_spl
| ~ product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f261,f311,f314,f317,f320,f323]) ).
fof(f327,definition,
( sQ70_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ70_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f329,plain,
( sQ70_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ71_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f331,plain,
( ~ sQ71_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f332,plain,
( sQ71_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,definition,
( sQ72_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( ~ sQ72_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f335,plain,
( sQ72_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
( sQ73_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ73_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f338,plain,
( sQ73_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,definition,
( sQ74_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( ~ sQ74_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f341,plain,
( sQ74_spl
| ~ product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f262,f327,f330,f333,f336,f339]) ).
fof(f343,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f86,f37]) ).
fof(f344,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f86,f36]) ).
fof(f345,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f86,f35]) ).
fof(f346,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f86,f34]) ).
fof(f347,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f86,f33]) ).
fof(f348,definition,
( sQ75_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ75_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( sQ75_spl
| ~ product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,definition,
( sQ76_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ76_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f353,plain,
( sQ76_spl
| ~ product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,definition,
( sQ77_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ77_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f356,plain,
( sQ77_spl
| ~ product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,definition,
( sQ78_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ78_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f359,plain,
( sQ78_spl
| ~ product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,definition,
( sQ79_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ79_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f362,plain,
( sQ79_spl
| ~ product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f343,f348,f351,f354,f357,f360]) ).
fof(f364,definition,
( sQ80_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ80_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f366,plain,
( sQ80_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ81_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ81_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f369,plain,
( sQ81_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,definition,
( sQ82_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ82_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f372,plain,
( sQ82_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
( sQ83_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ83_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f375,plain,
( sQ83_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,definition,
( sQ84_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ84_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f378,plain,
( sQ84_spl
| ~ product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f344,f364,f367,f370,f373,f376]) ).
fof(f380,definition,
( sQ85_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ85_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f382,plain,
( sQ85_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ86_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ86_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f385,plain,
( sQ86_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ87_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ87_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f388,plain,
( sQ87_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,definition,
( sQ88_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ88_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f391,plain,
( sQ88_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,definition,
( sQ89_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ89_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f394,plain,
( sQ89_spl
| ~ product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f345,f380,f383,f386,f389,f392]) ).
fof(f396,definition,
( sQ90_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( ~ sQ90_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f398,plain,
( sQ90_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,definition,
( sQ91_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f402,definition,
( sQ92_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ92_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,definition,
( sQ93_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ93_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ94_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ94_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f346,f396,f399,f402,f405,f408]) ).
fof(f412,definition,
( sQ95_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ95_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f414,plain,
( sQ95_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,definition,
( sQ96_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( ~ sQ96_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f417,plain,
( sQ96_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,definition,
( sQ97_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ97_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f420,plain,
( sQ97_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ98_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ98_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f423,plain,
( sQ98_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ99_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ99_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f426,plain,
( sQ99_spl
| ~ product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f347,f412,f415,f418,f421,f424]) ).
fof(f428,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f87,f37]) ).
fof(f429,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f87,f36]) ).
fof(f430,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f87,f35]) ).
fof(f431,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f87,f34]) ).
fof(f432,plain,
( product(e_1,e_1,e_5)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f87,f33]) ).
fof(f433,definition,
( sQ100_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ100_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f435,plain,
( sQ100_spl
| ~ product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,definition,
( sQ101_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ101_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f438,plain,
( sQ101_spl
| ~ product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,definition,
( sQ102_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ102_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f441,plain,
( sQ102_spl
| ~ product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,definition,
( sQ103_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( ~ sQ103_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f444,plain,
( sQ103_spl
| ~ product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,definition,
( sQ104_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( ~ sQ104_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f428,f433,f436,f439,f442,f445]) ).
fof(f449,definition,
( sQ105_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ105_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f451,plain,
( sQ105_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ106_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ106_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f454,plain,
( sQ106_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,definition,
( sQ107_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ107_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f457,plain,
( sQ107_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,definition,
( sQ108_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ108_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f460,plain,
( sQ108_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ109_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ109_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f463,plain,
( sQ109_spl
| ~ product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f429,f449,f452,f455,f458,f461]) ).
fof(f465,definition,
( sQ110_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ110_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f467,plain,
( sQ110_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,definition,
( sQ111_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ111_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f470,plain,
( sQ111_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,definition,
( sQ112_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ112_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f473,plain,
( sQ112_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ113_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ113_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f476,plain,
( sQ113_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
( sQ114_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ114_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f479,plain,
( sQ114_spl
| ~ product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f430,f465,f468,f471,f474,f477]) ).
fof(f481,definition,
( sQ115_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ115_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f483,plain,
( sQ115_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,definition,
( sQ116_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ116_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f486,plain,
( sQ116_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ117_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ117_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f489,plain,
( sQ117_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ118_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ118_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f492,plain,
( sQ118_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ119_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ119_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f495,plain,
( sQ119_spl
| ~ product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f431,f481,f484,f487,f490,f493]) ).
fof(f497,definition,
( sQ120_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f500,definition,
( sQ121_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ121_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ122_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ122_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ123_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ123_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,definition,
( sQ124_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( ~ sQ124_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( sQ124_spl
| ~ product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f432,f497,f500,f503,f506,f509]) ).
fof(f513,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f170,f64]) ).
fof(f514,plain,
( ~ sQ24_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f170,f79]) ).
fof(f515,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f170,f62]) ).
fof(f516,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f170,f60]) ).
fof(f517,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f170,f71]) ).
fof(f518,plain,
! [X0] :
( ~ sQ24_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f170,f70]) ).
fof(f519,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f170,f69]) ).
fof(f520,plain,
! [X0,X1,X2] :
( ~ sQ24_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f170,f67]) ).
fof(f521,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f54]) ).
fof(f522,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f523,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f167,f64]) ).
fof(f524,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f167,f62]) ).
fof(f525,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f167,f60]) ).
fof(f526,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f71]) ).
fof(f527,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f167,f70]) ).
fof(f528,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f167,f69]) ).
fof(f529,plain,
! [X0,X1,X2] :
( ~ sQ23_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f167,f67]) ).
fof(f530,definition,
! [X0] :
( sQ125_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f531,plain,
! [X0] :
( ~ sQ125_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,definition,
( sQ126_spl
<=> equalish(e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( ~ sQ126_spl
| equalish(e_4,e_5) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,plain,
( ~ sQ23_spl
| sQ126_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f526,f530,f533,f166]) ).
fof(f537,definition,
( sQ127_spl
<=> equalish(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( ~ sQ127_spl
| equalish(e_4,e_1) ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( ~ sQ23_spl
| sQ127_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f527,f530,f537,f166]) ).
fof(f541,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f538,f50]) ).
fof(f542,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f541]) ).
fof(f543,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f534,f53]) ).
fof(f544,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f543]) ).
fof(f545,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f164,f64]) ).
fof(f546,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f164,f62]) ).
fof(f547,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f164,f60]) ).
fof(f548,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f164,f71]) ).
fof(f549,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f164,f70]) ).
fof(f550,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f164,f69]) ).
fof(f551,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f164,f67]) ).
fof(f552,definition,
! [X0] :
( sQ128_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f553,plain,
! [X0] :
( ~ sQ128_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,definition,
( sQ129_spl
<=> equalish(e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f556,plain,
( ~ sQ129_spl
| equalish(e_3,e_5) ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,plain,
( ~ sQ22_spl
| sQ129_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f548,f552,f555,f163]) ).
fof(f559,definition,
( sQ130_spl
<=> equalish(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f560,plain,
( ~ sQ130_spl
| equalish(e_3,e_1) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,plain,
( ~ sQ22_spl
| sQ130_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f549,f552,f559,f163]) ).
fof(f563,plain,
( ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f560,f46]) ).
fof(f564,plain,
~ sQ130_spl,
inference(contradiction_clause,[status(thm)],[f563]) ).
fof(f565,plain,
( ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f556,f49]) ).
fof(f566,plain,
~ sQ129_spl,
inference(contradiction_clause,[status(thm)],[f565]) ).
fof(f567,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f161,f64]) ).
fof(f568,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f161,f62]) ).
fof(f569,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f161,f60]) ).
fof(f570,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f161,f71]) ).
fof(f571,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f161,f70]) ).
fof(f572,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f161,f69]) ).
fof(f573,plain,
! [X0,X1,X2] :
( ~ sQ21_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f161,f67]) ).
fof(f574,definition,
! [X0] :
( sQ131_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f575,plain,
! [X0] :
( ~ sQ131_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,definition,
( sQ132_spl
<=> equalish(e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f578,plain,
( ~ sQ132_spl
| equalish(e_2,e_5) ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,plain,
( ~ sQ21_spl
| sQ132_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f570,f574,f577,f160]) ).
fof(f581,definition,
( sQ133_spl
<=> equalish(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f582,plain,
( ~ sQ133_spl
| equalish(e_2,e_1) ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( ~ sQ21_spl
| sQ133_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f571,f574,f581,f160]) ).
fof(f585,plain,
( ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f582,f42]) ).
fof(f586,plain,
~ sQ133_spl,
inference(contradiction_clause,[status(thm)],[f585]) ).
fof(f587,plain,
( ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f578,f45]) ).
fof(f588,plain,
~ sQ132_spl,
inference(contradiction_clause,[status(thm)],[f587]) ).
fof(f589,plain,
( ~ sQ20_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f158,f81]) ).
fof(f590,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_5,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f158,f64]) ).
fof(f591,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f158,f62]) ).
fof(f592,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,X0)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f158,f60]) ).
fof(f593,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f158,f71]) ).
fof(f594,plain,
! [X0] :
( ~ sQ20_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f158,f70]) ).
fof(f595,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f158,f69]) ).
fof(f596,plain,
! [X0,X1,X2] :
( ~ sQ20_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f158,f67]) ).
fof(f597,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f589,f41]) ).
fof(f598,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f597]) ).
fof(f599,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f550,f65]) ).
fof(f600,definition,
( sQ134_spl
<=> equalish(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ134_spl
| equalish(e_1,e_3) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,plain,
( ~ sQ22_spl
| sQ134_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f599,f552,f600,f163]) ).
fof(f604,plain,
( ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f601,f39]) ).
fof(f605,plain,
~ sQ134_spl,
inference(contradiction_clause,[status(thm)],[f604]) ).
fof(f606,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f572,f65]) ).
fof(f607,definition,
( sQ135_spl
<=> equalish(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f608,plain,
( ~ sQ135_spl
| equalish(e_1,e_2) ),
inference(component_clause,[status(thm)],[f607]) ).
fof(f610,plain,
( ~ sQ21_spl
| sQ135_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f606,f574,f607,f160]) ).
fof(f611,plain,
( ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f608,f38]) ).
fof(f612,plain,
~ sQ135_spl,
inference(contradiction_clause,[status(thm)],[f611]) ).
fof(f613,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f551,f65]) ).
fof(f614,definition,
( sQ136_spl
<=> equalish(e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ136_spl
| equalish(e_5,e_3) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( ~ sQ22_spl
| sQ136_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f613,f552,f614,f163]) ).
fof(f618,plain,
( ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f615,f56]) ).
fof(f619,plain,
~ sQ136_spl,
inference(contradiction_clause,[status(thm)],[f618]) ).
fof(f620,plain,
! [X0] :
( ~ sQ21_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f573,f65]) ).
fof(f621,definition,
( sQ137_spl
<=> equalish(e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f622,plain,
( ~ sQ137_spl
| equalish(e_5,e_2) ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,plain,
( ~ sQ21_spl
| sQ137_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f620,f574,f621,f160]) ).
fof(f625,plain,
( ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f622,f55]) ).
fof(f626,plain,
~ sQ137_spl,
inference(contradiction_clause,[status(thm)],[f625]) ).
fof(f631,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f154,f64]) ).
fof(f632,plain,
( ~ sQ19_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f154,f79]) ).
fof(f633,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f154,f62]) ).
fof(f634,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f154,f60]) ).
fof(f635,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f154,f71]) ).
fof(f636,plain,
! [X0] :
( ~ sQ19_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f154,f70]) ).
fof(f637,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f154,f69]) ).
fof(f638,plain,
! [X0,X1,X2] :
( ~ sQ19_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f154,f67]) ).
fof(f639,plain,
( ~ sQ19_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f632,f621,f153]) ).
fof(f640,definition,
! [X0] :
( sQ138_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f641,plain,
! [X0] :
( ~ sQ138_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f640]) ).
fof(f643,definition,
( sQ139_spl
<=> equalish(e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f646,plain,
( ~ sQ19_spl
| sQ139_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f635,f640,f643,f153]) ).
fof(f647,plain,
( ~ sQ19_spl
| sQ137_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f636,f640,f621,f153]) ).
fof(f648,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f151,f64]) ).
fof(f649,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f151,f62]) ).
fof(f650,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f151,f60]) ).
fof(f651,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f151,f71]) ).
fof(f652,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f151,f70]) ).
fof(f653,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f151,f69]) ).
fof(f654,plain,
! [X0,X1,X2] :
( ~ sQ18_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f151,f67]) ).
fof(f655,definition,
! [X0] :
( sQ140_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f656,plain,
! [X0] :
( ~ sQ140_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( ~ sQ18_spl
| sQ126_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f651,f655,f533,f150]) ).
fof(f659,definition,
( sQ141_spl
<=> equalish(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f660,plain,
( ~ sQ141_spl
| equalish(e_4,e_2) ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,plain,
( ~ sQ18_spl
| sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f652,f655,f659,f150]) ).
fof(f663,plain,
( ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f51]) ).
fof(f664,plain,
~ sQ141_spl,
inference(contradiction_clause,[status(thm)],[f663]) ).
fof(f665,plain,
( ~ sQ22_spl
| ~ sQ17_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f148,f546]) ).
fof(f666,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ17_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f148,f551]) ).
fof(f667,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ17_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f148,f550]) ).
fof(f668,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f148,f64]) ).
fof(f669,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f148,f62]) ).
fof(f670,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f148,f60]) ).
fof(f671,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f148,f71]) ).
fof(f672,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f148,f70]) ).
fof(f673,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f148,f69]) ).
fof(f674,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f148,f67]) ).
fof(f675,plain,
( ~ sQ22_spl
| ~ sQ17_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f665,f607,f147,f163]) ).
fof(f676,definition,
! [X0] :
( sQ142_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f677,plain,
! [X0] :
( ~ sQ142_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f676]) ).
fof(f679,plain,
( ~ sQ22_spl
| ~ sQ17_spl
| sQ139_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f666,f676,f643,f147,f163]) ).
fof(f680,plain,
( ~ sQ22_spl
| ~ sQ17_spl
| sQ135_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f667,f676,f607,f147,f163]) ).
fof(f681,definition,
! [X0] :
( sQ143_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f682,plain,
! [X0] :
( ~ sQ143_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,plain,
( ~ sQ17_spl
| sQ129_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f671,f681,f555,f147]) ).
fof(f685,definition,
( sQ144_spl
<=> equalish(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f686,plain,
( ~ sQ144_spl
| equalish(e_3,e_2) ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,plain,
( ~ sQ17_spl
| sQ144_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f672,f681,f685,f147]) ).
fof(f689,plain,
( ~ sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f686,f47]) ).
fof(f690,plain,
~ sQ144_spl,
inference(contradiction_clause,[status(thm)],[f689]) ).
fof(f695,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f145,f568]) ).
fof(f696,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ16_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f145,f573]) ).
fof(f697,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ16_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f145,f572]) ).
fof(f698,plain,
( ~ sQ16_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f145,f81]) ).
fof(f699,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f145,f64]) ).
fof(f700,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f145,f62]) ).
fof(f701,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f145,f60]) ).
fof(f702,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f145,f71]) ).
fof(f703,plain,
! [X0] :
( ~ sQ16_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f145,f70]) ).
fof(f704,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f145,f69]) ).
fof(f705,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f145,f67]) ).
fof(f706,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f695,f607,f144,f160]) ).
fof(f707,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| sQ139_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f696,f676,f643,f144,f160]) ).
fof(f708,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| sQ135_spl
| sQ142_spl ),
inference(split_clause,[status(thm)],[f697,f676,f607,f144,f160]) ).
fof(f709,plain,
( ~ sQ16_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f698,f577,f144]) ).
fof(f710,definition,
! [X0] :
( sQ145_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f711,plain,
! [X0] :
( ~ sQ145_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,plain,
( ~ sQ16_spl
| sQ132_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f702,f710,f577,f144]) ).
fof(f714,definition,
( sQ146_spl
<=> equalish(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( ~ sQ16_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f703,f710,f714,f144]) ).
fof(f718,plain,
( ~ sQ145_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f711,f65]) ).
fof(f719,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_5,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f142,f64]) ).
fof(f720,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f142,f62]) ).
fof(f721,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,X0)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f142,f60]) ).
fof(f722,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f142,f71]) ).
fof(f723,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f142,f70]) ).
fof(f724,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f142,f69]) ).
fof(f725,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f142,f67]) ).
fof(f726,definition,
! [X0] :
( sQ147_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f727,plain,
! [X0] :
( ~ sQ147_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,definition,
( sQ148_spl
<=> equalish(e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( ~ sQ148_spl
| equalish(e_1,e_5) ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,plain,
( ~ sQ15_spl
| sQ148_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f722,f726,f729,f141]) ).
fof(f733,plain,
( ~ sQ15_spl
| sQ135_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f723,f726,f607,f141]) ).
fof(f734,plain,
( ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f730,f41]) ).
fof(f735,plain,
~ sQ148_spl,
inference(contradiction_clause,[status(thm)],[f734]) ).
fof(f736,plain,
( ~ sQ147_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f727,f65]) ).
fof(f737,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f724,f142]) ).
fof(f738,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f724,f65]) ).
fof(f739,definition,
! [X0] :
( sQ149_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f740,plain,
! [X0] :
( ~ sQ149_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( ~ sQ15_spl
| sQ146_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f737,f739,f714,f141]) ).
fof(f743,plain,
( ~ sQ15_spl
| sQ133_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f738,f726,f581,f141]) ).
fof(f744,plain,
! [X0] :
( ~ sQ149_spl
| ~ product(X0,e_2,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f740]) ).
fof(f748,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f138,f64]) ).
fof(f749,plain,
( ~ sQ14_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f138,f79]) ).
fof(f750,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f138,f62]) ).
fof(f751,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f138,f60]) ).
fof(f752,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f138,f71]) ).
fof(f753,plain,
! [X0] :
( ~ sQ14_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f138,f70]) ).
fof(f754,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f138,f69]) ).
fof(f755,plain,
! [X0,X1,X2] :
( ~ sQ14_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f138,f67]) ).
fof(f756,plain,
( ~ sQ14_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f749,f614,f137]) ).
fof(f757,definition,
! [X0] :
( sQ150_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f758,plain,
! [X0] :
( ~ sQ150_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,plain,
( ~ sQ14_spl
| sQ139_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f752,f757,f643,f137]) ).
fof(f761,plain,
( ~ sQ14_spl
| sQ136_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f753,f757,f614,f137]) ).
fof(f762,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f135,f64]) ).
fof(f763,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f135,f62]) ).
fof(f764,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f135,f60]) ).
fof(f765,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f135,f71]) ).
fof(f766,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f135,f70]) ).
fof(f767,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f135,f69]) ).
fof(f768,plain,
! [X0,X1,X2] :
( ~ sQ13_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f135,f67]) ).
fof(f769,definition,
! [X0] :
( sQ151_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f770,plain,
! [X0] :
( ~ sQ151_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f772,plain,
( ~ sQ13_spl
| sQ126_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f765,f769,f533,f134]) ).
fof(f773,definition,
( sQ152_spl
<=> equalish(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ152_spl
| equalish(e_4,e_3) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( ~ sQ13_spl
| sQ152_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f766,f769,f773,f134]) ).
fof(f777,plain,
( ~ sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f774,f52]) ).
fof(f778,plain,
~ sQ152_spl,
inference(contradiction_clause,[status(thm)],[f777]) ).
fof(f779,plain,
( ~ sQ12_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f132,f81]) ).
fof(f780,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f132,f64]) ).
fof(f781,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f132,f62]) ).
fof(f782,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f132,f60]) ).
fof(f783,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f132,f71]) ).
fof(f784,plain,
! [X0] :
( ~ sQ12_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f132,f70]) ).
fof(f785,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f132,f69]) ).
fof(f786,plain,
! [X0,X1,X2] :
( ~ sQ12_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f132,f67]) ).
fof(f787,plain,
( ~ sQ12_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f779,f555,f131]) ).
fof(f788,definition,
! [X0] :
( sQ153_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f789,plain,
! [X0] :
( ~ sQ153_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,plain,
( ~ sQ12_spl
| sQ129_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f783,f788,f555,f131]) ).
fof(f792,definition,
( sQ154_spl
<=> equalish(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ12_spl
| sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f784,f788,f792,f131]) ).
fof(f796,plain,
( ~ sQ153_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f789,f65]) ).
fof(f797,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f129,f568]) ).
fof(f798,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ11_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f129,f573]) ).
fof(f799,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ11_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f129,f572]) ).
fof(f800,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f129,f64]) ).
fof(f801,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f129,f62]) ).
fof(f802,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f129,f60]) ).
fof(f803,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f129,f71]) ).
fof(f804,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f129,f70]) ).
fof(f805,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f129,f69]) ).
fof(f806,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f129,f67]) ).
fof(f807,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f797,f600,f128,f160]) ).
fof(f808,definition,
! [X0] :
( sQ155_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f809,plain,
! [X0] :
( ~ sQ155_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f808]) ).
fof(f811,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| sQ139_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f798,f808,f643,f128,f160]) ).
fof(f812,plain,
( ~ sQ21_spl
| ~ sQ11_spl
| sQ134_spl
| sQ155_spl ),
inference(split_clause,[status(thm)],[f799,f808,f600,f128,f160]) ).
fof(f813,definition,
! [X0] :
( sQ156_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f814,plain,
! [X0] :
( ~ sQ156_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,plain,
( ~ sQ11_spl
| sQ132_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f803,f813,f577,f128]) ).
fof(f817,definition,
( sQ157_spl
<=> equalish(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f818,plain,
( ~ sQ157_spl
| equalish(e_2,e_3) ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,plain,
( ~ sQ11_spl
| sQ157_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f804,f813,f817,f128]) ).
fof(f821,plain,
( ~ sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f818,f43]) ).
fof(f822,plain,
~ sQ157_spl,
inference(contradiction_clause,[status(thm)],[f821]) ).
fof(f823,plain,
( ~ sQ156_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f814,f65]) ).
fof(f824,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f126,f720]) ).
fof(f825,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_5,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f126,f64]) ).
fof(f826,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f126,f62]) ).
fof(f827,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,X0)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f126,f60]) ).
fof(f828,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f126,f71]) ).
fof(f829,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f126,f70]) ).
fof(f830,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f126,f69]) ).
fof(f831,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f126,f67]) ).
fof(f832,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f824,f817,f125,f141]) ).
fof(f833,definition,
! [X0] :
( sQ158_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f834,plain,
! [X0] :
( ~ sQ158_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,plain,
( ~ sQ10_spl
| sQ148_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f828,f833,f729,f125]) ).
fof(f837,plain,
( ~ sQ10_spl
| sQ134_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f829,f833,f600,f125]) ).
fof(f838,plain,
( ~ sQ158_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f834,f65]) ).
fof(f839,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f830,f126]) ).
fof(f840,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f830,f65]) ).
fof(f841,definition,
! [X0] :
( sQ159_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f842,plain,
! [X0] :
( ~ sQ159_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,plain,
( ~ sQ10_spl
| sQ154_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f839,f841,f792,f125]) ).
fof(f845,plain,
( ~ sQ10_spl
| sQ130_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f840,f833,f559,f125]) ).
fof(f846,plain,
! [X0] :
( ~ sQ159_spl
| ~ product(X0,e_3,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f842]) ).
fof(f850,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f122,f64]) ).
fof(f851,plain,
( ~ sQ9_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f122,f79]) ).
fof(f852,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f122,f62]) ).
fof(f853,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f122,f60]) ).
fof(f854,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f122,f71]) ).
fof(f855,plain,
! [X0] :
( ~ sQ9_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f122,f70]) ).
fof(f856,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f122,f69]) ).
fof(f857,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f122,f67]) ).
fof(f858,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f851,f57]) ).
fof(f859,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f858]) ).
fof(f860,plain,
( ~ sQ8_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f119,f81]) ).
fof(f861,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f119,f64]) ).
fof(f862,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f119,f62]) ).
fof(f863,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f119,f60]) ).
fof(f864,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f119,f71]) ).
fof(f865,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f119,f70]) ).
fof(f866,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f119,f69]) ).
fof(f867,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f119,f67]) ).
fof(f868,plain,
( ~ sQ8_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f860,f533,f118]) ).
fof(f869,definition,
! [X0] :
( sQ160_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f870,plain,
! [X0] :
( ~ sQ160_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f869]) ).
fof(f872,plain,
( ~ sQ8_spl
| sQ126_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f864,f869,f533,f118]) ).
fof(f873,definition,
( sQ161_spl
<=> equalish(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f876,plain,
( ~ sQ8_spl
| sQ161_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f865,f869,f873,f118]) ).
fof(f877,plain,
( ~ sQ160_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f870,f65]) ).
fof(f878,plain,
( ~ sQ17_spl
| ~ sQ7_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f116,f669]) ).
fof(f879,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f116,f64]) ).
fof(f880,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f116,f62]) ).
fof(f881,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f116,f60]) ).
fof(f882,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f116,f71]) ).
fof(f883,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f116,f70]) ).
fof(f884,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f116,f69]) ).
fof(f885,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f116,f67]) ).
fof(f886,plain,
( ~ sQ17_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f878,f44]) ).
fof(f887,plain,
( ~ sQ17_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f886]) ).
fof(f888,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f113,f568]) ).
fof(f889,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ6_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f113,f573]) ).
fof(f890,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ6_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f113,f572]) ).
fof(f891,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f113,f64]) ).
fof(f892,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f113,f62]) ).
fof(f893,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f113,f60]) ).
fof(f894,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f113,f71]) ).
fof(f895,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f113,f70]) ).
fof(f896,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f113,f69]) ).
fof(f897,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f113,f67]) ).
fof(f898,plain,
( ~ sQ21_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f888,f40]) ).
fof(f899,plain,
( ~ sQ21_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f898]) ).
fof(f900,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f110,f826]) ).
fof(f901,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_5,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f110,f64]) ).
fof(f902,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f110,f62]) ).
fof(f903,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f110,f60]) ).
fof(f904,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f110,f71]) ).
fof(f905,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f110,f70]) ).
fof(f906,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f110,f69]) ).
fof(f907,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f110,f67]) ).
fof(f908,plain,
( ~ sQ10_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f900,f48]) ).
fof(f909,plain,
( ~ sQ10_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f908]) ).
fof(f910,definition,
! [X0] :
( sQ162_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f911,plain,
! [X0] :
( ~ sQ162_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f910]) ).
fof(f913,plain,
( ~ sQ5_spl
| sQ148_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f904,f910,f729,f109]) ).
fof(f914,definition,
( sQ163_spl
<=> equalish(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f915,plain,
( ~ sQ163_spl
| equalish(e_1,e_4) ),
inference(component_clause,[status(thm)],[f914]) ).
fof(f917,plain,
( ~ sQ5_spl
| sQ163_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f905,f910,f914,f109]) ).
fof(f918,plain,
( ~ sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f915,f40]) ).
fof(f919,plain,
~ sQ163_spl,
inference(contradiction_clause,[status(thm)],[f918]) ).
fof(f920,plain,
( ~ sQ162_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f911,f65]) ).
fof(f921,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f906,f110]) ).
fof(f922,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f906,f65]) ).
fof(f923,definition,
! [X0] :
( sQ164_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f924,plain,
! [X0] :
( ~ sQ164_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f923]) ).
fof(f926,plain,
( ~ sQ5_spl
| sQ161_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f921,f923,f873,f109]) ).
fof(f927,plain,
( ~ sQ5_spl
| sQ127_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f922,f910,f537,f109]) ).
fof(f928,plain,
! [X0] :
( ~ sQ164_spl
| ~ product(X0,e_4,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f924]) ).
fof(f929,definition,
! [X0] :
( sQ165_spl
<=> ( ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f930,plain,
! [X0] :
( ~ sQ165_spl
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f929]) ).
fof(f932,plain,
( ~ sQ6_spl
| sQ132_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f894,f929,f577,f112]) ).
fof(f933,definition,
( sQ166_spl
<=> equalish(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f934,plain,
( ~ sQ166_spl
| equalish(e_2,e_4) ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f936,plain,
( ~ sQ6_spl
| sQ166_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f895,f929,f933,f112]) ).
fof(f937,plain,
( ~ sQ166_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f934,f44]) ).
fof(f938,plain,
~ sQ166_spl,
inference(contradiction_clause,[status(thm)],[f937]) ).
fof(f943,plain,
( ~ sQ131_spl
| ~ sQ49_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f255,f575]) ).
fof(f944,plain,
( ~ sQ128_spl
| ~ sQ49_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f255,f553]) ).
fof(f945,plain,
( ~ sQ125_spl
| ~ sQ49_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f255,f531]) ).
fof(f946,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f255,f64]) ).
fof(f947,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f255,f62]) ).
fof(f948,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f255,f60]) ).
fof(f949,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f255,f71]) ).
fof(f950,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f255,f70]) ).
fof(f951,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f255,f69]) ).
fof(f952,plain,
! [X0,X1,X2] :
( ~ sQ49_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f255,f67]) ).
fof(f953,plain,
( ~ sQ125_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f945,f65]) ).
fof(f954,plain,
( ~ sQ125_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f953]) ).
fof(f955,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f252,f64]) ).
fof(f956,plain,
( ~ sQ48_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f252,f79]) ).
fof(f957,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f252,f62]) ).
fof(f958,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f252,f60]) ).
fof(f959,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f252,f71]) ).
fof(f960,plain,
! [X0] :
( ~ sQ48_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f252,f70]) ).
fof(f961,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f252,f69]) ).
fof(f962,plain,
! [X0,X1,X2] :
( ~ sQ48_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f252,f67]) ).
fof(f963,plain,
( ~ sQ48_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f956,f537,f251]) ).
fof(f964,definition,
! [X0] :
( sQ167_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f965,plain,
! [X0] :
( ~ sQ167_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f964]) ).
fof(f967,plain,
( ~ sQ48_spl
| sQ161_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f959,f964,f873,f251]) ).
fof(f968,plain,
( ~ sQ48_spl
| sQ127_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f960,f964,f537,f251]) ).
fof(f969,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f249,f545]) ).
fof(f970,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ47_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f249,f551]) ).
fof(f971,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ47_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f249,f550]) ).
fof(f972,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f249,f64]) ).
fof(f973,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f249,f62]) ).
fof(f974,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f249,f60]) ).
fof(f975,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f249,f71]) ).
fof(f976,plain,
! [X0] :
( ~ sQ47_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f249,f70]) ).
fof(f977,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f249,f69]) ).
fof(f978,plain,
! [X0,X1,X2] :
( ~ sQ47_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f249,f67]) ).
fof(f979,plain,
( ~ sQ22_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f969,f57]) ).
fof(f980,plain,
( ~ sQ22_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f979]) ).
fof(f981,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f246,f64]) ).
fof(f982,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f246,f62]) ).
fof(f983,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f246,f60]) ).
fof(f984,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f246,f71]) ).
fof(f985,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f246,f70]) ).
fof(f986,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f246,f69]) ).
fof(f987,plain,
! [X0,X1,X2] :
( ~ sQ46_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f246,f67]) ).
fof(f988,definition,
! [X0] :
( sQ168_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f989,plain,
! [X0] :
( ~ sQ168_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f988]) ).
fof(f991,plain,
( ~ sQ46_spl
| sQ166_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f984,f988,f933,f245]) ).
fof(f992,plain,
( ~ sQ46_spl
| sQ133_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f985,f988,f581,f245]) ).
fof(f993,plain,
( ~ sQ45_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f243,f81]) ).
fof(f994,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f243,f64]) ).
fof(f995,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f243,f62]) ).
fof(f996,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f243,f60]) ).
fof(f997,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f243,f71]) ).
fof(f998,plain,
! [X0] :
( ~ sQ45_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f243,f70]) ).
fof(f999,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f243,f69]) ).
fof(f1000,plain,
! [X0,X1,X2] :
( ~ sQ45_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f243,f67]) ).
fof(f1001,plain,
( ~ sQ45_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f993,f914,f242]) ).
fof(f1002,definition,
! [X0] :
( sQ169_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1003,plain,
! [X0] :
( ~ sQ169_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,plain,
( ~ sQ45_spl
| sQ163_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f997,f1002,f914,f242]) ).
fof(f1006,definition,
( sQ170_spl
<=> equalish(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1009,plain,
( ~ sQ45_spl
| sQ170_spl
| sQ169_spl ),
inference(split_clause,[status(thm)],[f998,f1002,f1006,f242]) ).
fof(f1010,plain,
( ~ sQ169_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1003,f65]) ).
fof(f1011,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f986,f65]) ).
fof(f1012,plain,
( ~ sQ46_spl
| sQ135_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1011,f988,f607,f245]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f987,f65]) ).
fof(f1014,plain,
( ~ sQ46_spl
| sQ141_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f1013,f988,f659,f245]) ).
fof(f1015,plain,
( ~ sQ44_spl
| ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f239,f744]) ).
fof(f1016,plain,
( ~ sQ44_spl
| ~ sQ149_spl ),
inference(contradiction_clause,[status(thm)],[f1015]) ).
fof(f1017,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f725,f65]) ).
fof(f1018,definition,
( sQ171_spl
<=> equalish(e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1019,plain,
( ~ sQ171_spl
| equalish(e_5,e_1) ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,plain,
( ~ sQ15_spl
| sQ171_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1017,f726,f1018,f141]) ).
fof(f1022,plain,
( ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1019,f54]) ).
fof(f1023,plain,
~ sQ171_spl,
inference(contradiction_clause,[status(thm)],[f1022]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f236,f64]) ).
fof(f1029,plain,
( ~ sQ43_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f236,f79]) ).
fof(f1030,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f236,f62]) ).
fof(f1031,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f236,f60]) ).
fof(f1032,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f236,f71]) ).
fof(f1033,plain,
! [X0] :
( ~ sQ43_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f236,f70]) ).
fof(f1034,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f236,f69]) ).
fof(f1035,plain,
! [X0,X1,X2] :
( ~ sQ43_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f236,f67]) ).
fof(f1036,plain,
( ~ sQ43_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1029,f659,f235]) ).
fof(f1037,definition,
! [X0] :
( sQ172_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ172_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1037]) ).
fof(f1040,plain,
( ~ sQ43_spl
| sQ161_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1032,f1037,f873,f235]) ).
fof(f1041,plain,
( ~ sQ43_spl
| sQ141_spl
| sQ172_spl ),
inference(split_clause,[status(thm)],[f1033,f1037,f659,f235]) ).
fof(f1042,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ42_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f233,f551]) ).
fof(f1043,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ42_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f233,f550]) ).
fof(f1044,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f233,f64]) ).
fof(f1045,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f233,f62]) ).
fof(f1046,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f233,f60]) ).
fof(f1047,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f71]) ).
fof(f1048,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f70]) ).
fof(f1049,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f233,f69]) ).
fof(f1050,plain,
! [X0,X1,X2] :
( ~ sQ42_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f233,f67]) ).
fof(f1051,definition,
! [X0] :
( sQ173_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ173_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1054,definition,
( sQ174_spl
<=> equalish(e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1055,plain,
( ~ sQ174_spl
| equalish(e_5,e_4) ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1057,plain,
( ~ sQ22_spl
| ~ sQ42_spl
| sQ174_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1042,f1051,f1054,f232,f163]) ).
fof(f1058,plain,
( ~ sQ22_spl
| ~ sQ42_spl
| sQ135_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1043,f1051,f607,f232,f163]) ).
fof(f1059,definition,
! [X0] :
( sQ175_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f1060,plain,
! [X0] :
( ~ sQ175_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1059]) ).
fof(f1062,definition,
( sQ176_spl
<=> equalish(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1063,plain,
( ~ sQ176_spl
| equalish(e_3,e_4) ),
inference(component_clause,[status(thm)],[f1062]) ).
fof(f1065,plain,
( ~ sQ42_spl
| sQ176_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1047,f1059,f1062,f232]) ).
fof(f1066,plain,
( ~ sQ42_spl
| sQ144_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1048,f1059,f685,f232]) ).
fof(f1067,plain,
( ~ sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1063,f48]) ).
fof(f1068,plain,
~ sQ176_spl,
inference(contradiction_clause,[status(thm)],[f1067]) ).
fof(f1069,plain,
( ~ sQ174_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1055,f57]) ).
fof(f1070,plain,
~ sQ174_spl,
inference(contradiction_clause,[status(thm)],[f1069]) ).
fof(f1071,plain,
( ~ sQ46_spl
| ~ sQ41_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f230,f982]) ).
fof(f1072,plain,
( ~ sQ145_spl
| ~ sQ41_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f230,f711]) ).
fof(f1073,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ41_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f230,f987]) ).
fof(f1074,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ41_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f230,f986]) ).
fof(f1075,plain,
( ~ sQ41_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f230,f81]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f230,f64]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f230,f62]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f230,f60]) ).
fof(f1079,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f230,f71]) ).
fof(f1080,plain,
! [X0] :
( ~ sQ41_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f230,f70]) ).
fof(f1081,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f230,f69]) ).
fof(f1082,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f230,f67]) ).
fof(f1083,plain,
( ~ sQ46_spl
| ~ sQ41_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f1071,f607,f229,f245]) ).
fof(f1084,definition,
! [X0] :
( sQ177_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ177_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1087,plain,
( ~ sQ46_spl
| ~ sQ41_spl
| sQ161_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1073,f1084,f873,f229,f245]) ).
fof(f1088,plain,
( ~ sQ46_spl
| ~ sQ41_spl
| sQ135_spl
| sQ177_spl ),
inference(split_clause,[status(thm)],[f1074,f1084,f607,f229,f245]) ).
fof(f1089,plain,
( ~ sQ41_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f1075,f933,f229]) ).
fof(f1090,definition,
! [X0] :
( sQ178_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1091,plain,
! [X0] :
( ~ sQ178_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1090]) ).
fof(f1093,plain,
( ~ sQ41_spl
| sQ166_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1079,f1090,f933,f229]) ).
fof(f1094,plain,
( ~ sQ41_spl
| sQ146_spl
| sQ178_spl ),
inference(split_clause,[status(thm)],[f1080,f1090,f714,f229]) ).
fof(f1095,plain,
( ~ sQ15_spl
| ~ sQ40_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f227,f719]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ40_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f227,f724]) ).
fof(f1097,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ40_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f227,f725]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f227,f64]) ).
fof(f1099,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f227,f62]) ).
fof(f1100,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f227,f60]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f227,f71]) ).
fof(f1102,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f227,f70]) ).
fof(f1103,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f227,f69]) ).
fof(f1104,plain,
! [X0,X1,X2] :
( ~ sQ40_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f227,f67]) ).
fof(f1105,plain,
( ~ sQ15_spl
| ~ sQ40_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1095,f1054,f226,f141]) ).
fof(f1106,definition,
! [X0] :
( sQ179_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ179_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1106]) ).
fof(f1109,plain,
( ~ sQ15_spl
| ~ sQ40_spl
| sQ146_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1096,f1106,f714,f226,f141]) ).
fof(f1110,plain,
( ~ sQ15_spl
| ~ sQ40_spl
| sQ174_spl
| sQ179_spl ),
inference(split_clause,[status(thm)],[f1097,f1106,f1054,f226,f141]) ).
fof(f1111,definition,
! [X0] :
( sQ180_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ180_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1111]) ).
fof(f1114,plain,
( ~ sQ40_spl
| sQ163_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1101,f1111,f914,f226]) ).
fof(f1115,plain,
( ~ sQ40_spl
| sQ135_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f1102,f1111,f607,f226]) ).
fof(f1116,plain,
( ~ sQ39_spl
| ~ sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f846]) ).
fof(f1117,plain,
( ~ sQ39_spl
| ~ sQ159_spl ),
inference(contradiction_clause,[status(thm)],[f1116]) ).
fof(f1118,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f220,f64]) ).
fof(f1119,plain,
( ~ sQ38_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f220,f79]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f220,f62]) ).
fof(f1121,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f220,f60]) ).
fof(f1122,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f220,f71]) ).
fof(f1123,plain,
! [X0] :
( ~ sQ38_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f220,f70]) ).
fof(f1124,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f220,f69]) ).
fof(f1125,plain,
! [X0,X1,X2] :
( ~ sQ38_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f220,f67]) ).
fof(f1126,plain,
( ~ sQ38_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1119,f773,f219]) ).
fof(f1127,definition,
! [X0] :
( sQ181_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ181_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1127]) ).
fof(f1130,plain,
( ~ sQ38_spl
| sQ161_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1122,f1127,f873,f219]) ).
fof(f1131,plain,
( ~ sQ38_spl
| sQ152_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f1123,f1127,f773,f219]) ).
fof(f1132,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ37_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f217,f551]) ).
fof(f1133,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ37_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f217,f550]) ).
fof(f1134,plain,
( ~ sQ37_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f217,f81]) ).
fof(f1135,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f217,f64]) ).
fof(f1136,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f217,f62]) ).
fof(f1137,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f217,f60]) ).
fof(f1138,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f217,f71]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ37_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f217,f70]) ).
fof(f1140,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f217,f69]) ).
fof(f1141,plain,
! [X0,X1,X2] :
( ~ sQ37_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f217,f67]) ).
fof(f1142,definition,
! [X0] :
( sQ182_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1143,plain,
! [X0] :
( ~ sQ182_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1142]) ).
fof(f1145,plain,
( ~ sQ22_spl
| ~ sQ37_spl
| sQ174_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1132,f1142,f1054,f216,f163]) ).
fof(f1146,plain,
( ~ sQ22_spl
| ~ sQ37_spl
| sQ134_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f1133,f1142,f600,f216,f163]) ).
fof(f1147,plain,
( ~ sQ37_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1134,f1062,f216]) ).
fof(f1148,definition,
! [X0] :
( sQ183_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1149,plain,
! [X0] :
( ~ sQ183_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1148]) ).
fof(f1151,plain,
( ~ sQ37_spl
| sQ176_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1138,f1148,f1062,f216]) ).
fof(f1152,plain,
( ~ sQ37_spl
| sQ154_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f1139,f1148,f792,f216]) ).
fof(f1153,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f214,f982]) ).
fof(f1154,plain,
( ~ sQ11_spl
| ~ sQ36_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f214,f800]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ36_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f214,f987]) ).
fof(f1156,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ36_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f214,f986]) ).
fof(f1157,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f214,f64]) ).
fof(f1158,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f214,f62]) ).
fof(f1159,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f214,f60]) ).
fof(f1160,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f214,f71]) ).
fof(f1161,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f214,f70]) ).
fof(f1162,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f214,f69]) ).
fof(f1163,plain,
! [X0,X1,X2] :
( ~ sQ36_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f214,f67]) ).
fof(f1164,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1153,f600,f213,f245]) ).
fof(f1165,plain,
( ~ sQ11_spl
| ~ sQ36_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1154,f1054,f213,f128]) ).
fof(f1166,definition,
! [X0] :
( sQ184_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1167,plain,
! [X0] :
( ~ sQ184_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1166]) ).
fof(f1169,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| sQ161_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1155,f1166,f873,f213,f245]) ).
fof(f1170,plain,
( ~ sQ46_spl
| ~ sQ36_spl
| sQ134_spl
| sQ184_spl ),
inference(split_clause,[status(thm)],[f1156,f1166,f600,f213,f245]) ).
fof(f1171,definition,
! [X0] :
( sQ185_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1172,plain,
! [X0] :
( ~ sQ185_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1171]) ).
fof(f1174,plain,
( ~ sQ36_spl
| sQ166_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1160,f1171,f933,f213]) ).
fof(f1175,plain,
( ~ sQ36_spl
| sQ157_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f1161,f1171,f817,f213]) ).
fof(f1176,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ35_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f211,f724]) ).
fof(f1177,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ35_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f211,f725]) ).
fof(f1178,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f211,f64]) ).
fof(f1179,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f211,f62]) ).
fof(f1180,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f211,f60]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f211,f71]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f211,f70]) ).
fof(f1183,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f211,f69]) ).
fof(f1184,plain,
! [X0,X1,X2] :
( ~ sQ35_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f211,f67]) ).
fof(f1185,definition,
! [X0] :
( sQ186_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1186,plain,
! [X0] :
( ~ sQ186_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1185]) ).
fof(f1188,plain,
( ~ sQ15_spl
| ~ sQ35_spl
| sQ157_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1176,f1185,f817,f210,f141]) ).
fof(f1189,plain,
( ~ sQ15_spl
| ~ sQ35_spl
| sQ174_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f1177,f1185,f1054,f210,f141]) ).
fof(f1190,definition,
! [X0] :
( sQ187_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ187_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1190]) ).
fof(f1193,plain,
( ~ sQ35_spl
| sQ163_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1181,f1190,f914,f210]) ).
fof(f1194,plain,
( ~ sQ35_spl
| sQ134_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1182,f1190,f600,f210]) ).
fof(f1195,plain,
( ~ sQ34_spl
| ~ sQ164_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f207,f928]) ).
fof(f1196,plain,
( ~ sQ34_spl
| ~ sQ164_spl ),
inference(contradiction_clause,[status(thm)],[f1195]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f201,f64]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f201,f62]) ).
fof(f1199,plain,
( ~ sQ32_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f201,f77]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f201,f60]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ32_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f201,f71]) ).
fof(f1203,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f201,f69]) ).
fof(f1204,plain,
! [X0,X1,X2] :
( ~ sQ32_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f201,f67]) ).
fof(f1205,plain,
( ~ sQ32_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1199,f773,f200]) ).
fof(f1206,definition,
! [X0] :
( sQ188_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1207,plain,
! [X0] :
( ~ sQ188_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1206]) ).
fof(f1209,plain,
( ~ sQ32_spl
| sQ176_spl
| sQ188_spl ),
inference(split_clause,[status(thm)],[f1201,f1206,f1062,f200]) ).
fof(f1211,plain,
( ~ sQ46_spl
| ~ sQ31_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f198,f982]) ).
fof(f1212,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ31_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f198,f987]) ).
fof(f1213,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ31_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f198,f986]) ).
fof(f1214,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f198,f64]) ).
fof(f1215,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f198,f62]) ).
fof(f1216,plain,
( ~ sQ31_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f198,f77]) ).
fof(f1217,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f198,f60]) ).
fof(f1218,plain,
! [X0] :
( ~ sQ31_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f198,f71]) ).
fof(f1220,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f198,f69]) ).
fof(f1221,plain,
! [X0,X1,X2] :
( ~ sQ31_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f198,f67]) ).
fof(f1222,plain,
( ~ sQ46_spl
| ~ sQ31_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f1211,f914,f197,f245]) ).
fof(f1223,plain,
( ~ sQ46_spl
| ~ sQ31_spl
| sQ161_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1212,f964,f873,f197,f245]) ).
fof(f1224,plain,
( ~ sQ46_spl
| ~ sQ31_spl
| sQ163_spl
| sQ167_spl ),
inference(split_clause,[status(thm)],[f1213,f964,f914,f197,f245]) ).
fof(f1225,plain,
( ~ sQ31_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1216,f659,f197]) ).
fof(f1226,definition,
! [X0] :
( sQ189_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1227,plain,
! [X0] :
( ~ sQ189_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1226]) ).
fof(f1229,plain,
( ~ sQ31_spl
| sQ166_spl
| sQ189_spl ),
inference(split_clause,[status(thm)],[f1218,f1226,f933,f197]) ).
fof(f1231,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f195,f64]) ).
fof(f1232,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f195,f62]) ).
fof(f1233,plain,
( ~ sQ30_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f195,f77]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,X0)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f195,f60]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ30_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f195,f71]) ).
fof(f1237,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f195,f69]) ).
fof(f1238,plain,
! [X0,X1,X2] :
( ~ sQ30_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f195,f67]) ).
fof(f1239,plain,
( ~ sQ30_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f1233,f537,f194]) ).
fof(f1240,definition,
! [X0] :
( sQ190_spl
<=> ( ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ190_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1240]) ).
fof(f1243,plain,
( ~ sQ30_spl
| sQ163_spl
| sQ190_spl ),
inference(split_clause,[status(thm)],[f1235,f1240,f914,f194]) ).
fof(f1245,plain,
( ~ sQ29_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f191,f81]) ).
fof(f1246,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f191,f64]) ).
fof(f1247,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f191,f62]) ).
fof(f1248,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_5,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f191,f60]) ).
fof(f1249,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f191,f71]) ).
fof(f1250,plain,
! [X0] :
( ~ sQ29_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f191,f70]) ).
fof(f1251,plain,
! [X0,X1,X2] :
( ~ sQ29_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f191,f69]) ).
fof(f1252,plain,
! [X0,X1,X2] :
( ~ sQ29_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f191,f67]) ).
fof(f1253,plain,
( ~ sQ29_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1245,f1054,f190]) ).
fof(f1254,definition,
! [X0] :
( sQ191_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1255,plain,
! [X0] :
( ~ sQ191_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1257,plain,
( ~ sQ29_spl
| sQ174_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1249,f1254,f1054,f190]) ).
fof(f1258,plain,
( ~ sQ29_spl
| sQ139_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f1250,f1254,f643,f190]) ).
fof(f1259,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f188,f64]) ).
fof(f1260,plain,
( ~ sQ28_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f188,f79]) ).
fof(f1261,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f188,f62]) ).
fof(f1262,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f188,f60]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f188,f71]) ).
fof(f1264,plain,
! [X0] :
( ~ sQ28_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f188,f70]) ).
fof(f1265,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f188,f69]) ).
fof(f1266,plain,
! [X0,X1,X2] :
( ~ sQ28_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f188,f67]) ).
fof(f1267,plain,
( ~ sQ28_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f1260,f533,f187]) ).
fof(f1268,definition,
! [X0] :
( sQ192_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1269,plain,
! [X0] :
( ~ sQ192_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1268]) ).
fof(f1271,plain,
( ~ sQ28_spl
| sQ161_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1263,f1268,f873,f187]) ).
fof(f1272,plain,
( ~ sQ28_spl
| sQ126_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f1264,f1268,f533,f187]) ).
fof(f1273,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f185,f64]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f185,f62]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f185,f60]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f185,f71]) ).
fof(f1277,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f185,f70]) ).
fof(f1278,plain,
! [X0,X1,X2] :
( ~ sQ27_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f185,f69]) ).
fof(f1279,plain,
! [X0,X1,X2] :
( ~ sQ27_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f185,f67]) ).
fof(f1280,definition,
! [X0] :
( sQ193_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1281,plain,
! [X0] :
( ~ sQ193_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1280]) ).
fof(f1283,plain,
( ~ sQ27_spl
| sQ176_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1276,f1280,f1062,f184]) ).
fof(f1284,plain,
( ~ sQ27_spl
| sQ129_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f1277,f1280,f555,f184]) ).
fof(f1285,plain,
( ~ sQ46_spl
| ~ sQ26_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f182,f982]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ26_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f182,f987]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ26_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f182,f986]) ).
fof(f1288,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f182,f64]) ).
fof(f1289,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f182,f62]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f182,f60]) ).
fof(f1291,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f182,f71]) ).
fof(f1292,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f182,f70]) ).
fof(f1293,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f182,f69]) ).
fof(f1294,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f182,f67]) ).
fof(f1295,plain,
( ~ sQ46_spl
| ~ sQ26_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1285,f729,f181,f245]) ).
fof(f1296,definition,
! [X0] :
( sQ194_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ194_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1296]) ).
fof(f1299,plain,
( ~ sQ46_spl
| ~ sQ26_spl
| sQ161_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1286,f1296,f873,f181,f245]) ).
fof(f1300,plain,
( ~ sQ46_spl
| ~ sQ26_spl
| sQ148_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f1287,f1296,f729,f181,f245]) ).
fof(f1301,definition,
! [X0] :
( sQ195_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f1302,plain,
! [X0] :
( ~ sQ195_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1301]) ).
fof(f1304,plain,
( ~ sQ26_spl
| sQ166_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1291,f1301,f933,f181]) ).
fof(f1305,plain,
( ~ sQ26_spl
| sQ132_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f1292,f1301,f577,f181]) ).
fof(f1306,plain,
( ~ sQ178_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f1091,f65]) ).
fof(f1307,plain,
( ~ sQ180_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1112,f65]) ).
fof(f1310,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1049,f65]) ).
fof(f1311,plain,
( ~ sQ42_spl
| sQ157_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1310,f1059,f817,f232]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1050,f65]) ).
fof(f1313,plain,
( ~ sQ42_spl
| sQ152_spl
| sQ175_spl ),
inference(split_clause,[status(thm)],[f1312,f1059,f773,f232]) ).
fof(f1314,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f806,f65]) ).
fof(f1315,plain,
( ~ sQ11_spl
| sQ137_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1314,f813,f621,f128]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f805,f65]) ).
fof(f1317,plain,
( ~ sQ11_spl
| sQ144_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f1316,f813,f685,f128]) ).
fof(f1319,plain,
( ~ sQ183_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f1149,f65]) ).
fof(f1320,plain,
( ~ sQ185_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1172,f65]) ).
fof(f1321,plain,
( ~ sQ187_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1191,f65]) ).
fof(f1322,plain,
( ~ sQ165_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f930,f65]) ).
fof(f1325,plain,
( ~ sQ188_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f1207,f65]) ).
fof(f1326,plain,
( ~ sQ189_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f1227,f65]) ).
fof(f1327,plain,
( ~ sQ190_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f1241,f65]) ).
fof(f1328,plain,
( ~ sQ192_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f1269,f65]) ).
fof(f1329,plain,
( ~ sQ193_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1281,f65]) ).
fof(f1330,plain,
( ~ sQ195_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f1302,f65]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1183,f211]) ).
fof(f1332,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1183,f65]) ).
fof(f1333,definition,
! [X0] :
( sQ196_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f1334,plain,
! [X0] :
( ~ sQ196_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1333]) ).
fof(f1336,plain,
( ~ sQ35_spl
| sQ154_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1331,f1333,f792,f210]) ).
fof(f1337,plain,
( ~ sQ35_spl
| sQ130_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1332,f1190,f559,f210]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ196_spl
| ~ product(X0,e_3,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f1334]) ).
fof(f1339,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1184,f211]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ35_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1184,f65]) ).
fof(f1341,plain,
( ~ sQ35_spl
| sQ161_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f1339,f1333,f873,f210]) ).
fof(f1342,plain,
( ~ sQ35_spl
| sQ127_spl
| sQ187_spl ),
inference(split_clause,[status(thm)],[f1340,f1190,f537,f210]) ).
fof(f1343,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f674,f65]) ).
fof(f1344,plain,
( ~ sQ17_spl
| sQ136_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1343,f681,f614,f147]) ).
fof(f1345,plain,
! [X0] :
( ~ sQ17_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f673,f65]) ).
fof(f1346,plain,
( ~ sQ17_spl
| sQ157_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1345,f681,f817,f147]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f528,f65]) ).
fof(f1348,plain,
( ~ sQ23_spl
| sQ163_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1347,f530,f914,f166]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ23_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f529,f65]) ).
fof(f1350,plain,
( ~ sQ23_spl
| sQ174_spl
| sQ125_spl ),
inference(split_clause,[status(thm)],[f1349,f530,f1054,f166]) ).
fof(f1351,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ5_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f906,f211]) ).
fof(f1353,definition,
! [X0] :
( sQ197_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ197_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1353]) ).
fof(f1356,plain,
( ~ sQ35_spl
| ~ sQ5_spl
| sQ152_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1351,f1353,f773,f109,f210]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ35_spl
| ~ sQ5_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f907,f211]) ).
fof(f1359,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f907,f65]) ).
fof(f1360,plain,
( ~ sQ35_spl
| ~ sQ5_spl
| sQ174_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f1358,f1353,f1054,f109,f210]) ).
fof(f1361,plain,
( ~ sQ5_spl
| sQ171_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f1359,f910,f1018,f109]) ).
fof(f1365,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f179,f1179]) ).
fof(f1366,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ25_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f179,f907]) ).
fof(f1367,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ25_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f179,f906]) ).
fof(f1368,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_4,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f179,f64]) ).
fof(f1369,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_5,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f179,f62]) ).
fof(f1370,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_1,X0)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f179,f60]) ).
fof(f1371,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_1,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f179,f71]) ).
fof(f1372,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f179,f70]) ).
fof(f1373,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f179,f69]) ).
fof(f1374,plain,
! [X0,X1,X2] :
( ~ sQ25_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f179,f67]) ).
fof(f1375,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1365,f555,f178,f210]) ).
fof(f1376,definition,
! [X0] :
( sQ198_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1377,plain,
! [X0] :
( ~ sQ198_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1376]) ).
fof(f1379,plain,
( ~ sQ5_spl
| ~ sQ25_spl
| sQ174_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1366,f1376,f1054,f178,f109]) ).
fof(f1380,plain,
( ~ sQ5_spl
| ~ sQ25_spl
| sQ126_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f1367,f1376,f533,f178,f109]) ).
fof(f1381,definition,
! [X0] :
( sQ199_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1382,plain,
! [X0] :
( ~ sQ199_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1381]) ).
fof(f1384,plain,
( ~ sQ25_spl
| sQ163_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1371,f1381,f914,f178]) ).
fof(f1385,plain,
( ~ sQ25_spl
| sQ148_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1372,f1381,f729,f178]) ).
fof(f1386,plain,
( ~ sQ199_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f1382,f65]) ).
fof(f1387,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1373,f179]) ).
fof(f1388,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1373,f65]) ).
fof(f1389,definition,
! [X0] :
( sQ200_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f1390,plain,
! [X0] :
( ~ sQ200_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f1389]) ).
fof(f1392,plain,
( ~ sQ25_spl
| sQ139_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1387,f1389,f643,f178]) ).
fof(f1393,plain,
( ~ sQ25_spl
| sQ171_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1388,f1381,f1018,f178]) ).
fof(f1394,plain,
! [X0] :
( ~ sQ200_spl
| ~ product(X0,e_5,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f1390]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ15_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f725,f179]) ).
fof(f1401,definition,
! [X0] :
( sQ201_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1402,plain,
! [X0] :
( ~ sQ201_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1401]) ).
fof(f1404,plain,
( ~ sQ25_spl
| ~ sQ15_spl
| sQ174_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1399,f1401,f1054,f141,f178]) ).
fof(f1406,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ15_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f724,f179]) ).
fof(f1408,plain,
( ~ sQ25_spl
| ~ sQ15_spl
| sQ132_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f1406,f1401,f577,f141,f178]) ).
fof(f1410,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f897,f65]) ).
fof(f1411,plain,
( ~ sQ6_spl
| sQ137_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f1410,f929,f621,f112]) ).
fof(f1412,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f896,f65]) ).
fof(f1413,plain,
( ~ sQ6_spl
| sQ141_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f1412,f929,f659,f112]) ).
fof(f1417,plain,
( ~ sQ155_spl
| ~ sQ74_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f340,f809]) ).
fof(f1418,plain,
( ~ sQ173_spl
| ~ sQ74_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f340,f1052]) ).
fof(f1419,plain,
( ~ sQ142_spl
| ~ sQ74_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f340,f677]) ).
fof(f1420,plain,
( ~ sQ131_spl
| ~ sQ74_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f340,f575]) ).
fof(f1421,plain,
( ~ sQ128_spl
| ~ sQ74_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f340,f553]) ).
fof(f1422,plain,
( ~ sQ125_spl
| ~ sQ74_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f340,f531]) ).
fof(f1423,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f340,f64]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f340,f62]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f340,f60]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f340,f71]) ).
fof(f1427,plain,
! [X0] :
( ~ sQ74_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f340,f70]) ).
fof(f1428,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f340,f69]) ).
fof(f1429,plain,
! [X0,X1,X2] :
( ~ sQ74_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f340,f67]) ).
fof(f1430,plain,
( ~ sQ128_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1421,f65]) ).
fof(f1431,plain,
( ~ sQ128_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f1430]) ).
fof(f1432,plain,
( ~ sQ177_spl
| ~ sQ73_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f337,f1085]) ).
fof(f1433,plain,
( ~ sQ168_spl
| ~ sQ73_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f337,f989]) ).
fof(f1434,plain,
( ~ sQ167_spl
| ~ sQ73_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f337,f965]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f337,f64]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f337,f62]) ).
fof(f1437,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f337,f60]) ).
fof(f1438,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f337,f71]) ).
fof(f1439,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f337,f70]) ).
fof(f1440,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f337,f69]) ).
fof(f1441,plain,
! [X0,X1,X2] :
( ~ sQ73_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f337,f67]) ).
fof(f1442,definition,
! [X0] :
( sQ202_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ202_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f1442]) ).
fof(f1445,plain,
( ~ sQ73_spl
| sQ152_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1438,f1442,f773,f336]) ).
fof(f1446,plain,
( ~ sQ73_spl
| sQ127_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1439,f1442,f537,f336]) ).
fof(f1447,plain,
( ~ sQ202_spl
| ~ sQ72_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f334,f1443]) ).
fof(f1448,plain,
( ~ sQ22_spl
| ~ sQ72_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f334,f545]) ).
fof(f1449,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ72_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f334,f551]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ72_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f334,f550]) ).
fof(f1451,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ72_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f334,f1050]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ72_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f334,f1049]) ).
fof(f1453,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f334,f64]) ).
fof(f1454,plain,
( ~ sQ72_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f334,f79]) ).
fof(f1455,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f334,f62]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f334,f60]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f334,f71]) ).
fof(f1458,plain,
! [X0] :
( ~ sQ72_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f334,f70]) ).
fof(f1459,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f334,f69]) ).
fof(f1460,plain,
! [X0,X1,X2] :
( ~ sQ72_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f334,f67]) ).
fof(f1461,plain,
( ~ sQ22_spl
| ~ sQ72_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1448,f614,f333,f163]) ).
fof(f1462,definition,
! [X0] :
( sQ203_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1463,plain,
! [X0] :
( ~ sQ203_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1462]) ).
fof(f1465,plain,
( ~ sQ22_spl
| ~ sQ72_spl
| sQ136_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1449,f1462,f614,f333,f163]) ).
fof(f1466,plain,
( ~ sQ22_spl
| ~ sQ72_spl
| sQ170_spl
| sQ203_spl ),
inference(split_clause,[status(thm)],[f1450,f1462,f1006,f333,f163]) ).
fof(f1467,definition,
! [X0] :
( sQ204_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f1468,plain,
! [X0] :
( ~ sQ204_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1467]) ).
fof(f1470,plain,
( ~ sQ42_spl
| ~ sQ72_spl
| sQ152_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1451,f1467,f773,f333,f232]) ).
fof(f1471,plain,
( ~ sQ42_spl
| ~ sQ72_spl
| sQ133_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f1452,f1467,f581,f333,f232]) ).
fof(f1472,plain,
( ~ sQ72_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1454,f559,f333]) ).
fof(f1473,definition,
! [X0] :
( sQ205_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f1474,plain,
! [X0] :
( ~ sQ205_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1473]) ).
fof(f1476,plain,
( ~ sQ72_spl
| sQ154_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1457,f1473,f792,f333]) ).
fof(f1477,plain,
( ~ sQ72_spl
| sQ130_spl
| sQ205_spl ),
inference(split_clause,[status(thm)],[f1458,f1473,f559,f333]) ).
fof(f1478,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f331,f981]) ).
fof(f1479,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ71_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f331,f896]) ).
fof(f1480,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ71_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f331,f897]) ).
fof(f1481,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ71_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f331,f805]) ).
fof(f1482,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ71_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f331,f806]) ).
fof(f1483,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ71_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f331,f987]) ).
fof(f1484,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ71_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f331,f986]) ).
fof(f1485,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f331,f64]) ).
fof(f1486,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f331,f62]) ).
fof(f1487,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f331,f60]) ).
fof(f1488,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f331,f71]) ).
fof(f1489,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f331,f70]) ).
fof(f1490,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f331,f69]) ).
fof(f1491,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f331,f67]) ).
fof(f1492,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1478,f773,f330,f245]) ).
fof(f1493,definition,
! [X0] :
( sQ206_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1494,plain,
! [X0] :
( ~ sQ206_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1493]) ).
fof(f1496,plain,
( ~ sQ6_spl
| ~ sQ71_spl
| sQ127_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f1479,f1493,f537,f330,f112]) ).
fof(f1497,plain,
( ~ sQ6_spl
| ~ sQ71_spl
| sQ136_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f1480,f1493,f614,f330,f112]) ).
fof(f1498,definition,
! [X0] :
( sQ207_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1499,plain,
! [X0] :
( ~ sQ207_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1498]) ).
fof(f1501,plain,
( ~ sQ11_spl
| ~ sQ71_spl
| sQ130_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1481,f1498,f559,f330,f128]) ).
fof(f1502,plain,
( ~ sQ11_spl
| ~ sQ71_spl
| sQ136_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f1482,f1498,f614,f330,f128]) ).
fof(f1503,definition,
! [X0] :
( sQ208_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1504,plain,
! [X0] :
( ~ sQ208_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1503]) ).
fof(f1506,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| sQ152_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1483,f1503,f773,f330,f245]) ).
fof(f1507,plain,
( ~ sQ46_spl
| ~ sQ71_spl
| sQ170_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f1484,f1503,f1006,f330,f245]) ).
fof(f1508,definition,
! [X0] :
( sQ209_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f1509,plain,
! [X0] :
( ~ sQ209_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1508]) ).
fof(f1511,plain,
( ~ sQ71_spl
| sQ157_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f1488,f1508,f817,f330]) ).
fof(f1512,plain,
( ~ sQ71_spl
| sQ133_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f1489,f1508,f581,f330]) ).
fof(f1513,plain,
( ~ sQ190_spl
| ~ sQ70_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f328,f1241]) ).
fof(f1514,plain,
( ~ sQ162_spl
| ~ sQ70_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f328,f911]) ).
fof(f1515,plain,
( ~ sQ158_spl
| ~ sQ70_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f328,f834]) ).
fof(f1516,plain,
( ~ sQ180_spl
| ~ sQ70_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f328,f1112]) ).
fof(f1517,plain,
( ~ sQ147_spl
| ~ sQ70_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f328,f727]) ).
fof(f1518,plain,
( ~ sQ169_spl
| ~ sQ70_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f328,f1003]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ70_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f328,f724]) ).
fof(f1520,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ70_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f328,f725]) ).
fof(f1521,plain,
( ~ sQ70_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f328,f81]) ).
fof(f1522,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_3,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f328,f64]) ).
fof(f1523,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f328,f62]) ).
fof(f1524,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f328,f60]) ).
fof(f1525,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f328,f71]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ70_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f328,f70]) ).
fof(f1527,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f328,f69]) ).
fof(f1528,plain,
! [X0,X1,X2] :
( ~ sQ70_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f328,f67]) ).
fof(f1529,definition,
! [X0] :
( sQ210_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1530,plain,
! [X0] :
( ~ sQ210_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1529]) ).
fof(f1532,plain,
( ~ sQ15_spl
| ~ sQ70_spl
| sQ133_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1519,f1529,f581,f327,f141]) ).
fof(f1533,plain,
( ~ sQ15_spl
| ~ sQ70_spl
| sQ136_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f1520,f1529,f614,f327,f141]) ).
fof(f1534,plain,
( ~ sQ70_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f1521,f600,f327]) ).
fof(f1535,definition,
! [X0] :
( sQ211_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1536,plain,
! [X0] :
( ~ sQ211_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1535]) ).
fof(f1538,plain,
( ~ sQ70_spl
| sQ134_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1525,f1535,f600,f327]) ).
fof(f1539,plain,
( ~ sQ70_spl
| sQ170_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f1526,f1535,f1006,f327]) ).
fof(f1540,plain,
( ~ sQ211_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f1536,f65]) ).
fof(f1541,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1440,f65]) ).
fof(f1542,plain,
( ~ sQ73_spl
| sQ163_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1541,f1442,f914,f336]) ).
fof(f1543,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1441,f65]) ).
fof(f1544,plain,
( ~ sQ73_spl
| sQ176_spl
| sQ202_spl ),
inference(split_clause,[status(thm)],[f1543,f1442,f1062,f336]) ).
fof(f1545,plain,
( ~ sQ138_spl
| ~ sQ69_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f324,f641]) ).
fof(f1546,plain,
( ~ sQ140_spl
| ~ sQ69_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f324,f656]) ).
fof(f1547,plain,
( ~ sQ143_spl
| ~ sQ69_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f324,f682]) ).
fof(f1548,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f324,f64]) ).
fof(f1549,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f324,f62]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f324,f60]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f324,f71]) ).
fof(f1552,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f324,f70]) ).
fof(f1553,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f324,f69]) ).
fof(f1554,plain,
! [X0,X1,X2] :
( ~ sQ69_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f324,f67]) ).
fof(f1555,plain,
( ~ sQ143_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1547,f65]) ).
fof(f1556,plain,
( ~ sQ143_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f1555]) ).
fof(f1557,plain,
( ~ sQ68_spl
| ~ sQ177_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f321,f1432]) ).
fof(f1558,plain,
( ~ sQ68_spl
| ~ sQ177_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1557]) ).
fof(f1559,plain,
( ~ sQ42_spl
| ~ sQ67_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f318,f1044]) ).
fof(f1560,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ67_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f318,f551]) ).
fof(f1561,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ67_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f318,f550]) ).
fof(f1562,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ67_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f318,f1050]) ).
fof(f1563,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ67_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f318,f1049]) ).
fof(f1564,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f318,f64]) ).
fof(f1565,plain,
( ~ sQ67_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f318,f79]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f318,f62]) ).
fof(f1567,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f318,f60]) ).
fof(f1568,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f318,f71]) ).
fof(f1569,plain,
! [X0] :
( ~ sQ67_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f318,f70]) ).
fof(f1570,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f318,f69]) ).
fof(f1571,plain,
! [X0,X1,X2] :
( ~ sQ67_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f318,f67]) ).
fof(f1572,plain,
( ~ sQ42_spl
| ~ sQ67_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1559,f773,f317,f232]) ).
fof(f1573,definition,
! [X0] :
( sQ212_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1574,plain,
! [X0] :
( ~ sQ212_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1573]) ).
fof(f1576,plain,
( ~ sQ22_spl
| ~ sQ67_spl
| sQ136_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f1560,f1573,f614,f317,f163]) ).
fof(f1577,plain,
( ~ sQ22_spl
| ~ sQ67_spl
| sQ135_spl
| sQ212_spl ),
inference(split_clause,[status(thm)],[f1561,f1573,f607,f317,f163]) ).
fof(f1578,definition,
! [X0] :
( sQ213_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1579,plain,
! [X0] :
( ~ sQ213_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1578]) ).
fof(f1581,plain,
( ~ sQ42_spl
| ~ sQ67_spl
| sQ152_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1562,f1578,f773,f317,f232]) ).
fof(f1582,plain,
( ~ sQ42_spl
| ~ sQ67_spl
| sQ146_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f1563,f1578,f714,f317,f232]) ).
fof(f1583,plain,
( ~ sQ67_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1565,f685,f317]) ).
fof(f1584,definition,
! [X0] :
( sQ214_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1585,plain,
! [X0] :
( ~ sQ214_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1584]) ).
fof(f1587,plain,
( ~ sQ67_spl
| sQ154_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f1568,f1584,f792,f317]) ).
fof(f1588,plain,
( ~ sQ67_spl
| sQ144_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f1569,f1584,f685,f317]) ).
fof(f1589,plain,
( ~ sQ66_spl
| ~ sQ168_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f315,f1433]) ).
fof(f1590,plain,
( ~ sQ66_spl
| ~ sQ168_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1589]) ).
fof(f1591,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f312,f719]) ).
fof(f1592,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ65_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f312,f724]) ).
fof(f1593,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ65_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f312,f725]) ).
fof(f1594,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f312,f64]) ).
fof(f1595,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f312,f62]) ).
fof(f1596,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f312,f60]) ).
fof(f1597,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f312,f71]) ).
fof(f1598,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f312,f70]) ).
fof(f1599,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f312,f69]) ).
fof(f1600,plain,
! [X0,X1,X2] :
( ~ sQ65_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f312,f67]) ).
fof(f1601,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1591,f614,f311,f141]) ).
fof(f1602,definition,
! [X0] :
( sQ215_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ215_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1602]) ).
fof(f1605,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| sQ146_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f1592,f1602,f714,f311,f141]) ).
fof(f1606,plain,
( ~ sQ15_spl
| ~ sQ65_spl
| sQ136_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f1593,f1602,f614,f311,f141]) ).
fof(f1607,definition,
! [X0] :
( sQ216_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1608,plain,
! [X0] :
( ~ sQ216_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1607]) ).
fof(f1610,plain,
( ~ sQ65_spl
| sQ134_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f1597,f1607,f600,f311]) ).
fof(f1611,plain,
( ~ sQ65_spl
| sQ135_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f1598,f1607,f607,f311]) ).
fof(f1612,plain,
( ~ sQ216_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1608,f65]) ).
fof(f1613,plain,
( ~ sQ64_spl
| ~ sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f308,f796]) ).
fof(f1614,plain,
( ~ sQ64_spl
| ~ sQ153_spl ),
inference(contradiction_clause,[status(thm)],[f1613]) ).
fof(f1615,plain,
( ~ sQ63_spl
| ~ sQ196_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f305,f1338]) ).
fof(f1616,plain,
( ~ sQ63_spl
| ~ sQ196_spl ),
inference(contradiction_clause,[status(thm)],[f1615]) ).
fof(f1617,plain,
( ~ sQ11_spl
| ~ sQ61_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f299,f800]) ).
fof(f1618,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ61_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f299,f896]) ).
fof(f1619,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ61_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f299,f897]) ).
fof(f1620,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ61_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f299,f805]) ).
fof(f1621,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ61_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f299,f806]) ).
fof(f1622,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ61_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f299,f987]) ).
fof(f1623,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ61_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f299,f986]) ).
fof(f1624,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f299,f64]) ).
fof(f1625,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f299,f62]) ).
fof(f1626,plain,
( ~ sQ61_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f299,f77]) ).
fof(f1627,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f299,f60]) ).
fof(f1628,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f299,f71]) ).
fof(f1630,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f299,f69]) ).
fof(f1631,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f299,f67]) ).
fof(f1632,plain,
( ~ sQ11_spl
| ~ sQ61_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1617,f614,f298,f128]) ).
fof(f1633,definition,
! [X0] :
( sQ217_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1634,plain,
! [X0] :
( ~ sQ217_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1633]) ).
fof(f1636,plain,
( ~ sQ6_spl
| ~ sQ61_spl
| sQ152_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f1618,f1633,f773,f298,f112]) ).
fof(f1637,plain,
( ~ sQ6_spl
| ~ sQ61_spl
| sQ136_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f1619,f1633,f614,f298,f112]) ).
fof(f1638,plain,
( ~ sQ11_spl
| ~ sQ61_spl
| sQ154_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1620,f788,f792,f298,f128]) ).
fof(f1639,plain,
( ~ sQ11_spl
| ~ sQ61_spl
| sQ136_spl
| sQ153_spl ),
inference(split_clause,[status(thm)],[f1621,f788,f614,f298,f128]) ).
fof(f1640,definition,
! [X0] :
( sQ218_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1641,plain,
! [X0] :
( ~ sQ218_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1640]) ).
fof(f1643,plain,
( ~ sQ46_spl
| ~ sQ61_spl
| sQ152_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1622,f1640,f773,f298,f245]) ).
fof(f1644,plain,
( ~ sQ46_spl
| ~ sQ61_spl
| sQ134_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f1623,f1640,f600,f298,f245]) ).
fof(f1645,plain,
( ~ sQ61_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1626,f685,f298]) ).
fof(f1646,definition,
! [X0] :
( sQ219_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f1647,plain,
! [X0] :
( ~ sQ219_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1646]) ).
fof(f1649,plain,
( ~ sQ61_spl
| sQ157_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f1628,f1646,f817,f298]) ).
fof(f1651,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ60_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f296,f724]) ).
fof(f1652,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ60_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f296,f725]) ).
fof(f1653,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f296,f64]) ).
fof(f1654,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f296,f62]) ).
fof(f1655,plain,
( ~ sQ60_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f296,f77]) ).
fof(f1656,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,X0)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f296,f60]) ).
fof(f1657,plain,
! [X0] :
( ~ sQ60_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f296,f71]) ).
fof(f1659,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f296,f69]) ).
fof(f1660,plain,
! [X0,X1,X2] :
( ~ sQ60_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f296,f67]) ).
fof(f1661,plain,
( ~ sQ15_spl
| ~ sQ60_spl
| sQ157_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1651,f681,f817,f295,f141]) ).
fof(f1662,plain,
( ~ sQ15_spl
| ~ sQ60_spl
| sQ136_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f1652,f681,f614,f295,f141]) ).
fof(f1663,plain,
( ~ sQ60_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f1655,f559,f295]) ).
fof(f1664,definition,
! [X0] :
( sQ220_spl
<=> ( ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1665,plain,
! [X0] :
( ~ sQ220_spl
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1664]) ).
fof(f1667,plain,
( ~ sQ60_spl
| sQ134_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1657,f1664,f600,f295]) ).
fof(f1669,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f292,f64]) ).
fof(f1670,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f292,f62]) ).
fof(f1671,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_5,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f292,f60]) ).
fof(f1672,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f292,f71]) ).
fof(f1673,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f292,f70]) ).
fof(f1674,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f292,f69]) ).
fof(f1675,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f292,f67]) ).
fof(f1676,definition,
! [X0] :
( sQ221_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1677,plain,
! [X0] :
( ~ sQ221_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1676]) ).
fof(f1679,plain,
( ~ sQ59_spl
| sQ136_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1672,f1676,f614,f291]) ).
fof(f1680,plain,
( ~ sQ59_spl
| sQ174_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1673,f1676,f1054,f291]) ).
fof(f1681,plain,
( ~ sQ58_spl
| ~ sQ188_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f1325]) ).
fof(f1682,plain,
( ~ sQ58_spl
| ~ sQ188_spl ),
inference(contradiction_clause,[status(thm)],[f1681]) ).
fof(f1683,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ57_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f286,f551]) ).
fof(f1684,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ57_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f286,f550]) ).
fof(f1685,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ57_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f286,f1050]) ).
fof(f1686,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ57_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f286,f1049]) ).
fof(f1687,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f286,f64]) ).
fof(f1688,plain,
( ~ sQ57_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f286,f79]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f286,f62]) ).
fof(f1690,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f286,f60]) ).
fof(f1691,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f286,f71]) ).
fof(f1692,plain,
! [X0] :
( ~ sQ57_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f286,f70]) ).
fof(f1693,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f286,f69]) ).
fof(f1694,plain,
! [X0,X1,X2] :
( ~ sQ57_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f286,f67]) ).
fof(f1695,definition,
! [X0] :
( sQ222_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1696,plain,
! [X0] :
( ~ sQ222_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1695]) ).
fof(f1698,plain,
( ~ sQ22_spl
| ~ sQ57_spl
| sQ136_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f1683,f1695,f614,f285,f163]) ).
fof(f1699,plain,
( ~ sQ22_spl
| ~ sQ57_spl
| sQ163_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f1684,f1695,f914,f285,f163]) ).
fof(f1700,definition,
! [X0] :
( sQ223_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1701,plain,
! [X0] :
( ~ sQ223_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1700]) ).
fof(f1703,plain,
( ~ sQ42_spl
| ~ sQ57_spl
| sQ152_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f1685,f1700,f773,f285,f232]) ).
fof(f1704,plain,
( ~ sQ42_spl
| ~ sQ57_spl
| sQ166_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f1686,f1700,f933,f285,f232]) ).
fof(f1705,plain,
( ~ sQ57_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f1688,f1062,f285]) ).
fof(f1706,definition,
! [X0] :
( sQ224_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1707,plain,
! [X0] :
( ~ sQ224_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1706]) ).
fof(f1709,plain,
( ~ sQ57_spl
| sQ154_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f1691,f1706,f792,f285]) ).
fof(f1710,plain,
( ~ sQ57_spl
| sQ176_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f1692,f1706,f1062,f285]) ).
fof(f1711,plain,
( ~ sQ6_spl
| ~ sQ56_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f283,f891]) ).
fof(f1712,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ56_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f283,f896]) ).
fof(f1713,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ56_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f283,f897]) ).
fof(f1714,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ56_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f283,f805]) ).
fof(f1715,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ56_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f283,f806]) ).
fof(f1716,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ56_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f283,f987]) ).
fof(f1717,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ56_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f283,f986]) ).
fof(f1718,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f283,f64]) ).
fof(f1719,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f283,f62]) ).
fof(f1720,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f283,f60]) ).
fof(f1721,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f283,f71]) ).
fof(f1722,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f283,f70]) ).
fof(f1723,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f283,f69]) ).
fof(f1724,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f283,f67]) ).
fof(f1725,plain,
( ~ sQ6_spl
| ~ sQ56_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1711,f614,f282,f112]) ).
fof(f1726,definition,
! [X0] :
( sQ225_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1727,plain,
! [X0] :
( ~ sQ225_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1726]) ).
fof(f1729,plain,
( ~ sQ6_spl
| ~ sQ56_spl
| sQ161_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f1712,f1726,f873,f282,f112]) ).
fof(f1730,plain,
( ~ sQ6_spl
| ~ sQ56_spl
| sQ136_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f1713,f1726,f614,f282,f112]) ).
fof(f1731,definition,
! [X0] :
( sQ226_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1732,plain,
! [X0] :
( ~ sQ226_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1731]) ).
fof(f1734,plain,
( ~ sQ11_spl
| ~ sQ56_spl
| sQ176_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f1714,f1731,f1062,f282,f128]) ).
fof(f1735,plain,
( ~ sQ11_spl
| ~ sQ56_spl
| sQ136_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f1715,f1731,f614,f282,f128]) ).
fof(f1736,definition,
! [X0] :
( sQ227_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1737,plain,
! [X0] :
( ~ sQ227_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1736]) ).
fof(f1739,plain,
( ~ sQ46_spl
| ~ sQ56_spl
| sQ152_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f1716,f1736,f773,f282,f245]) ).
fof(f1740,plain,
( ~ sQ46_spl
| ~ sQ56_spl
| sQ163_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f1717,f1736,f914,f282,f245]) ).
fof(f1741,definition,
! [X0] :
( sQ228_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1742,plain,
! [X0] :
( ~ sQ228_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1741]) ).
fof(f1744,plain,
( ~ sQ56_spl
| sQ157_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1721,f1741,f817,f282]) ).
fof(f1745,plain,
( ~ sQ56_spl
| sQ166_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1722,f1741,f933,f282]) ).
fof(f1746,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ55_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f280,f724]) ).
fof(f1747,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ55_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f280,f725]) ).
fof(f1748,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f280,f64]) ).
fof(f1749,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f280,f62]) ).
fof(f1750,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,X0)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f280,f60]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f280,f71]) ).
fof(f1752,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f280,f70]) ).
fof(f1753,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f280,f69]) ).
fof(f1754,plain,
! [X0,X1,X2] :
( ~ sQ55_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f280,f67]) ).
fof(f1755,definition,
! [X0] :
( sQ229_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1756,plain,
! [X0] :
( ~ sQ229_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1755]) ).
fof(f1758,plain,
( ~ sQ15_spl
| ~ sQ55_spl
| sQ166_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f1746,f1755,f933,f279,f141]) ).
fof(f1759,plain,
( ~ sQ15_spl
| ~ sQ55_spl
| sQ136_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f1747,f1755,f614,f279,f141]) ).
fof(f1760,definition,
! [X0] :
( sQ230_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1761,plain,
! [X0] :
( ~ sQ230_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1760]) ).
fof(f1763,plain,
( ~ sQ55_spl
| sQ134_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f1751,f1760,f600,f279]) ).
fof(f1764,plain,
( ~ sQ55_spl
| sQ163_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f1752,f1760,f914,f279]) ).
fof(f1765,plain,
( ~ sQ54_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f276,f81]) ).
fof(f1766,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f276,f64]) ).
fof(f1767,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f276,f62]) ).
fof(f1768,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f276,f60]) ).
fof(f1769,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f276,f71]) ).
fof(f1770,plain,
! [X0] :
( ~ sQ54_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f276,f70]) ).
fof(f1771,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f276,f69]) ).
fof(f1772,plain,
! [X0,X1,X2] :
( ~ sQ54_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f276,f67]) ).
fof(f1773,plain,
( ~ sQ54_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1765,f614,f275]) ).
fof(f1774,definition,
! [X0] :
( sQ231_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1775,plain,
! [X0] :
( ~ sQ231_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f1774]) ).
fof(f1777,plain,
( ~ sQ54_spl
| sQ136_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f1769,f1774,f614,f275]) ).
fof(f1778,plain,
( ~ sQ54_spl
| sQ139_spl
| sQ231_spl ),
inference(split_clause,[status(thm)],[f1770,f1774,f643,f275]) ).
fof(f1779,plain,
( ~ sQ53_spl
| ~ sQ200_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f273,f1394]) ).
fof(f1780,plain,
( ~ sQ53_spl
| ~ sQ200_spl ),
inference(contradiction_clause,[status(thm)],[f1779]) ).
fof(f1781,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ52_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f270,f551]) ).
fof(f1782,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ52_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f270,f550]) ).
fof(f1783,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ52_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f270,f1050]) ).
fof(f1784,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ52_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f270,f1049]) ).
fof(f1785,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f270,f64]) ).
fof(f1786,plain,
( ~ sQ52_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f270,f79]) ).
fof(f1787,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f270,f62]) ).
fof(f1788,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f270,f60]) ).
fof(f1789,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f270,f71]) ).
fof(f1790,plain,
! [X0] :
( ~ sQ52_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f270,f70]) ).
fof(f1791,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f270,f69]) ).
fof(f1792,plain,
! [X0,X1,X2] :
( ~ sQ52_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f270,f67]) ).
fof(f1793,definition,
! [X0] :
( sQ232_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1794,plain,
! [X0] :
( ~ sQ232_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f1793]) ).
fof(f1796,plain,
( ~ sQ22_spl
| ~ sQ52_spl
| sQ136_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f1781,f1793,f614,f269,f163]) ).
fof(f1797,plain,
( ~ sQ22_spl
| ~ sQ52_spl
| sQ148_spl
| sQ232_spl ),
inference(split_clause,[status(thm)],[f1782,f1793,f729,f269,f163]) ).
fof(f1798,definition,
! [X0] :
( sQ233_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ233_spl])],[split_symbol_definition]) ).
fof(f1799,plain,
! [X0] :
( ~ sQ233_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f1798]) ).
fof(f1801,plain,
( ~ sQ42_spl
| ~ sQ52_spl
| sQ152_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f1783,f1798,f773,f269,f232]) ).
fof(f1802,plain,
( ~ sQ42_spl
| ~ sQ52_spl
| sQ132_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f1784,f1798,f577,f269,f232]) ).
fof(f1803,plain,
( ~ sQ52_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f1786,f555,f269]) ).
fof(f1804,definition,
! [X0] :
( sQ234_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1805,plain,
! [X0] :
( ~ sQ234_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f1804]) ).
fof(f1807,plain,
( ~ sQ52_spl
| sQ154_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f1789,f1804,f792,f269]) ).
fof(f1808,plain,
( ~ sQ52_spl
| sQ129_spl
| sQ234_spl ),
inference(split_clause,[status(thm)],[f1790,f1804,f555,f269]) ).
fof(f1809,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ51_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f267,f896]) ).
fof(f1810,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ51_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f267,f897]) ).
fof(f1811,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ51_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f267,f805]) ).
fof(f1812,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ51_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f267,f806]) ).
fof(f1813,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ51_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f267,f987]) ).
fof(f1814,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ51_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f267,f986]) ).
fof(f1815,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f267,f64]) ).
fof(f1816,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f267,f62]) ).
fof(f1817,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f267,f60]) ).
fof(f1818,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f267,f71]) ).
fof(f1819,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f267,f70]) ).
fof(f1820,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f267,f69]) ).
fof(f1821,plain,
! [X0,X1,X2] :
( ~ sQ51_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f267,f67]) ).
fof(f1822,definition,
! [X0] :
( sQ235_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1823,plain,
! [X0] :
( ~ sQ235_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f1822]) ).
fof(f1825,plain,
( ~ sQ6_spl
| ~ sQ51_spl
| sQ126_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f1809,f1822,f533,f266,f112]) ).
fof(f1826,plain,
( ~ sQ6_spl
| ~ sQ51_spl
| sQ136_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f1810,f1822,f614,f266,f112]) ).
fof(f1827,definition,
! [X0] :
( sQ236_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1828,plain,
! [X0] :
( ~ sQ236_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1827]) ).
fof(f1830,plain,
( ~ sQ11_spl
| ~ sQ51_spl
| sQ129_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f1811,f1827,f555,f266,f128]) ).
fof(f1831,plain,
( ~ sQ11_spl
| ~ sQ51_spl
| sQ136_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f1812,f1827,f614,f266,f128]) ).
fof(f1832,definition,
! [X0] :
( sQ237_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f1833,plain,
! [X0] :
( ~ sQ237_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1832]) ).
fof(f1835,plain,
( ~ sQ46_spl
| ~ sQ51_spl
| sQ152_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f1813,f1832,f773,f266,f245]) ).
fof(f1836,plain,
( ~ sQ46_spl
| ~ sQ51_spl
| sQ148_spl
| sQ237_spl ),
inference(split_clause,[status(thm)],[f1814,f1832,f729,f266,f245]) ).
fof(f1837,definition,
! [X0] :
( sQ238_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1838,plain,
! [X0] :
( ~ sQ238_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1837]) ).
fof(f1840,plain,
( ~ sQ51_spl
| sQ157_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f1818,f1837,f817,f266]) ).
fof(f1841,plain,
( ~ sQ51_spl
| sQ132_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f1819,f1837,f577,f266]) ).
fof(f1842,plain,
( ~ sQ25_spl
| ~ sQ50_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f264,f1368]) ).
fof(f1843,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ50_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f264,f724]) ).
fof(f1844,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ50_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f264,f725]) ).
fof(f1845,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f264,f64]) ).
fof(f1846,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f264,f62]) ).
fof(f1847,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f264,f60]) ).
fof(f1848,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f264,f71]) ).
fof(f1849,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f264,f70]) ).
fof(f1850,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f264,f69]) ).
fof(f1851,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f264,f67]) ).
fof(f1852,plain,
( ~ sQ25_spl
| ~ sQ50_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f1842,f773,f263,f178]) ).
fof(f1853,definition,
! [X0] :
( sQ239_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1854,plain,
! [X0] :
( ~ sQ239_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f1853]) ).
fof(f1856,plain,
( ~ sQ15_spl
| ~ sQ50_spl
| sQ132_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f1843,f1853,f577,f263,f141]) ).
fof(f1857,plain,
( ~ sQ15_spl
| ~ sQ50_spl
| sQ136_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f1844,f1853,f614,f263,f141]) ).
fof(f1858,definition,
! [X0] :
( sQ240_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1859,plain,
! [X0] :
( ~ sQ240_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f1858]) ).
fof(f1861,plain,
( ~ sQ50_spl
| sQ134_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f1848,f1858,f600,f263]) ).
fof(f1862,plain,
( ~ sQ50_spl
| sQ148_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f1849,f1858,f729,f263]) ).
fof(f1863,plain,
( ~ sQ212_spl
| ~ sQ99_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f425,f1574]) ).
fof(f1864,plain,
( ~ sQ155_spl
| ~ sQ99_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f425,f809]) ).
fof(f1865,plain,
( ~ sQ173_spl
| ~ sQ99_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f425,f1052]) ).
fof(f1866,plain,
( ~ sQ142_spl
| ~ sQ99_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f425,f677]) ).
fof(f1867,plain,
( ~ sQ131_spl
| ~ sQ99_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f425,f575]) ).
fof(f1868,plain,
( ~ sQ128_spl
| ~ sQ99_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f425,f553]) ).
fof(f1869,plain,
( ~ sQ125_spl
| ~ sQ99_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f425,f531]) ).
fof(f1870,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f425,f64]) ).
fof(f1871,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f425,f62]) ).
fof(f1872,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f425,f60]) ).
fof(f1873,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f425,f71]) ).
fof(f1874,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f425,f70]) ).
fof(f1875,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f425,f69]) ).
fof(f1876,plain,
! [X0,X1,X2] :
( ~ sQ99_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f425,f67]) ).
fof(f1877,plain,
( ~ sQ131_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1867,f65]) ).
fof(f1878,plain,
( ~ sQ131_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1877]) ).
fof(f1882,plain,
( ~ sQ219_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f1647,f65]) ).
fof(f1883,plain,
( ~ sQ220_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f1665,f65]) ).
fof(f1884,plain,
( ~ sQ224_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1707,f65]) ).
fof(f1885,plain,
( ~ sQ217_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f1634,f65]) ).
fof(f1886,plain,
( ~ sQ228_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1742,f65]) ).
fof(f1887,plain,
( ~ sQ230_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1761,f65]) ).
fof(f1892,plain,
( ~ sQ234_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f1805,f65]) ).
fof(f1893,plain,
( ~ sQ238_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f1838,f65]) ).
fof(f1894,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1674,f65]) ).
fof(f1895,plain,
( ~ sQ59_spl
| sQ126_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1894,f1676,f533,f291]) ).
fof(f1896,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1675,f65]) ).
fof(f1897,plain,
( ~ sQ59_spl
| sQ129_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1896,f1676,f555,f291]) ).
fof(f1898,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1374,f179]) ).
fof(f1899,plain,
! [X0] :
( ~ sQ25_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1374,f65]) ).
fof(f1900,plain,
( ~ sQ25_spl
| sQ161_spl
| sQ200_spl ),
inference(split_clause,[status(thm)],[f1898,f1389,f873,f178]) ).
fof(f1901,plain,
( ~ sQ25_spl
| sQ127_spl
| sQ199_spl ),
inference(split_clause,[status(thm)],[f1899,f1381,f537,f178]) ).
fof(f1906,plain,
( ~ sQ240_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f1859,f65]) ).
fof(f1915,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1820,f65]) ).
fof(f1916,plain,
( ~ sQ51_spl
| sQ137_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f1915,f1837,f621,f266]) ).
fof(f1917,plain,
! [X0] :
( ~ sQ51_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1821,f65]) ).
fof(f1918,plain,
( ~ sQ51_spl
| sQ144_spl
| sQ238_spl ),
inference(split_clause,[status(thm)],[f1917,f1837,f685,f266]) ).
fof(f1919,plain,
( ~ sQ237_spl
| ~ sQ98_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f422,f1833]) ).
fof(f1921,plain,
( ~ sQ227_spl
| ~ sQ98_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f422,f1737]) ).
fof(f1922,plain,
( ~ sQ218_spl
| ~ sQ98_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f422,f1641]) ).
fof(f1923,plain,
( ~ sQ184_spl
| ~ sQ98_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f422,f1167]) ).
fof(f1924,plain,
( ~ sQ73_spl
| ~ sQ98_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f422,f1435]) ).
fof(f1925,plain,
( ~ sQ168_spl
| ~ sQ98_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f422,f989]) ).
fof(f1926,plain,
( ~ sQ167_spl
| ~ sQ98_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f422,f965]) ).
fof(f1927,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ98_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f422,f1441]) ).
fof(f1928,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ98_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f422,f1440]) ).
fof(f1929,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f422,f64]) ).
fof(f1930,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f422,f62]) ).
fof(f1931,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f422,f60]) ).
fof(f1932,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f422,f71]) ).
fof(f1933,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f422,f70]) ).
fof(f1934,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f422,f69]) ).
fof(f1935,plain,
! [X0,X1,X2] :
( ~ sQ98_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f422,f67]) ).
fof(f1936,plain,
( ~ sQ73_spl
| ~ sQ98_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f1924,f685,f421,f336]) ).
fof(f1937,plain,
( ~ sQ168_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1925,f65]) ).
fof(f1938,plain,
( ~ sQ168_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f1937]) ).
fof(f1939,plain,
( ~ sQ210_spl
| ~ sQ97_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f419,f1530]) ).
fof(f1940,plain,
( ~ sQ206_spl
| ~ sQ97_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f419,f1494]) ).
fof(f1941,plain,
( ~ sQ207_spl
| ~ sQ97_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f419,f1499]) ).
fof(f1942,plain,
( ~ sQ208_spl
| ~ sQ97_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f419,f1504]) ).
fof(f1943,plain,
( ~ sQ209_spl
| ~ sQ97_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f419,f1509]) ).
fof(f1944,plain,
( ~ sQ203_spl
| ~ sQ97_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f419,f1463]) ).
fof(f1945,plain,
( ~ sQ204_spl
| ~ sQ97_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f419,f1468]) ).
fof(f1946,plain,
( ~ sQ205_spl
| ~ sQ97_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f419,f1474]) ).
fof(f1947,plain,
( ~ sQ202_spl
| ~ sQ97_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f419,f1443]) ).
fof(f1948,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f419,f545]) ).
fof(f1949,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ97_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f419,f551]) ).
fof(f1950,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ97_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f419,f550]) ).
fof(f1951,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ97_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f419,f1050]) ).
fof(f1952,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ97_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f419,f1049]) ).
fof(f1953,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f419,f64]) ).
fof(f1954,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f419,f62]) ).
fof(f1955,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f419,f60]) ).
fof(f1956,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f419,f71]) ).
fof(f1957,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f419,f70]) ).
fof(f1958,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f419,f69]) ).
fof(f1959,plain,
! [X0,X1,X2] :
( ~ sQ97_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f419,f67]) ).
fof(f1960,plain,
( ~ sQ209_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1943,f65]) ).
fof(f1961,plain,
( ~ sQ209_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f1960]) ).
fof(f1962,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f416,f981]) ).
fof(f1963,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ96_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f416,f1821]) ).
fof(f1964,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ96_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f416,f1820]) ).
fof(f1965,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ96_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f416,f805]) ).
fof(f1966,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ96_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f416,f806]) ).
fof(f1967,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ96_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f416,f987]) ).
fof(f1968,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ96_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f416,f986]) ).
fof(f1969,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f416,f64]) ).
fof(f1970,plain,
( ~ sQ96_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f416,f79]) ).
fof(f1971,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f416,f62]) ).
fof(f1972,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f416,f60]) ).
fof(f1973,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f416,f71]) ).
fof(f1974,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f416,f70]) ).
fof(f1975,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f416,f69]) ).
fof(f1976,plain,
! [X0,X1,X2] :
( ~ sQ96_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f416,f67]) ).
fof(f1977,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f1962,f659,f415,f245]) ).
fof(f1978,definition,
! [X0] :
( sQ241_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1979,plain,
! [X0] :
( ~ sQ241_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f1978]) ).
fof(f1981,plain,
( ~ sQ51_spl
| ~ sQ96_spl
| sQ144_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f1963,f1978,f685,f415,f266]) ).
fof(f1982,plain,
( ~ sQ51_spl
| ~ sQ96_spl
| sQ171_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f1964,f1978,f1018,f415,f266]) ).
fof(f1983,definition,
! [X0] :
( sQ242_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1984,plain,
! [X0] :
( ~ sQ242_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f1983]) ).
fof(f1986,plain,
( ~ sQ11_spl
| ~ sQ96_spl
| sQ130_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f1965,f1983,f559,f415,f128]) ).
fof(f1987,plain,
( ~ sQ11_spl
| ~ sQ96_spl
| sQ137_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f1966,f1983,f621,f415,f128]) ).
fof(f1988,definition,
! [X0] :
( sQ243_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1989,plain,
! [X0] :
( ~ sQ243_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f1988]) ).
fof(f1991,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| sQ141_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f1967,f1988,f659,f415,f245]) ).
fof(f1992,plain,
( ~ sQ46_spl
| ~ sQ96_spl
| sQ170_spl
| sQ243_spl ),
inference(split_clause,[status(thm)],[f1968,f1988,f1006,f415,f245]) ).
fof(f1993,plain,
( ~ sQ96_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1970,f581,f415]) ).
fof(f1994,definition,
! [X0] :
( sQ244_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f1995,plain,
! [X0] :
( ~ sQ244_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f1994]) ).
fof(f1997,plain,
( ~ sQ96_spl
| sQ146_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f1973,f1994,f714,f415]) ).
fof(f1998,plain,
( ~ sQ96_spl
| sQ133_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f1974,f1994,f581,f415]) ).
fof(f1999,plain,
( ~ sQ240_spl
| ~ sQ95_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f413,f1859]) ).
fof(f2000,plain,
( ~ sQ199_spl
| ~ sQ95_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f413,f1382]) ).
fof(f2001,plain,
( ~ sQ230_spl
| ~ sQ95_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f413,f1761]) ).
fof(f2002,plain,
( ~ sQ220_spl
| ~ sQ95_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f413,f1665]) ).
fof(f2003,plain,
( ~ sQ187_spl
| ~ sQ95_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f413,f1191]) ).
fof(f2004,plain,
( ~ sQ216_spl
| ~ sQ95_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f413,f1608]) ).
fof(f2005,plain,
( ~ sQ211_spl
| ~ sQ95_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f413,f1536]) ).
fof(f2006,plain,
( ~ sQ190_spl
| ~ sQ95_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f413,f1241]) ).
fof(f2007,plain,
( ~ sQ162_spl
| ~ sQ95_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f413,f911]) ).
fof(f2008,plain,
( ~ sQ158_spl
| ~ sQ95_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f413,f834]) ).
fof(f2009,plain,
( ~ sQ180_spl
| ~ sQ95_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f413,f1112]) ).
fof(f2010,plain,
( ~ sQ147_spl
| ~ sQ95_spl
| ~ product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f413,f727]) ).
fof(f2011,plain,
( ~ sQ169_spl
| ~ sQ95_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f413,f1003]) ).
fof(f2012,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ95_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f413,f907]) ).
fof(f2013,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ95_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f413,f906]) ).
fof(f2014,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ95_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f413,f1373]) ).
fof(f2015,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ95_spl
| equalish(e_4,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f413,f1374]) ).
fof(f2016,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ95_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f413,f724]) ).
fof(f2017,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ95_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f413,f725]) ).
fof(f2018,plain,
( ~ sQ95_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f413,f81]) ).
fof(f2019,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f413,f64]) ).
fof(f2020,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f413,f62]) ).
fof(f2021,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,X0)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f413,f60]) ).
fof(f2022,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f413,f71]) ).
fof(f2023,plain,
! [X0] :
( ~ sQ95_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f413,f70]) ).
fof(f2024,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f413,f69]) ).
fof(f2025,plain,
! [X0,X1,X2] :
( ~ sQ95_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f413,f67]) ).
fof(f2026,definition,
! [X0] :
( sQ245_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2027,plain,
! [X0] :
( ~ sQ245_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2026]) ).
fof(f2029,plain,
( ~ sQ5_spl
| ~ sQ95_spl
| sQ137_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2012,f2026,f621,f412,f109]) ).
fof(f2030,plain,
( ~ sQ5_spl
| ~ sQ95_spl
| sQ127_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2013,f2026,f537,f412,f109]) ).
fof(f2031,definition,
! [X0] :
( sQ246_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2032,plain,
! [X0] :
( ~ sQ246_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f2031]) ).
fof(f2034,plain,
( ~ sQ25_spl
| ~ sQ95_spl
| sQ171_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2014,f2031,f1018,f412,f178]) ).
fof(f2035,plain,
( ~ sQ25_spl
| ~ sQ95_spl
| sQ141_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2015,f2031,f659,f412,f178]) ).
fof(f2036,definition,
! [X0] :
( sQ247_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2037,plain,
! [X0] :
( ~ sQ247_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f2036]) ).
fof(f2039,plain,
( ~ sQ15_spl
| ~ sQ95_spl
| sQ133_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2016,f2036,f581,f412,f141]) ).
fof(f2040,plain,
( ~ sQ15_spl
| ~ sQ95_spl
| sQ137_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f2017,f2036,f621,f412,f141]) ).
fof(f2041,plain,
( ~ sQ95_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f2018,f607,f412]) ).
fof(f2042,definition,
! [X0] :
( sQ248_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2043,plain,
! [X0] :
( ~ sQ248_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2042]) ).
fof(f2045,plain,
( ~ sQ95_spl
| sQ135_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2022,f2042,f607,f412]) ).
fof(f2046,plain,
( ~ sQ95_spl
| sQ170_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f2023,f2042,f1006,f412]) ).
fof(f2047,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f1948,f621,f418,f163]) ).
fof(f2048,definition,
! [X0] :
( sQ249_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2049,plain,
! [X0] :
( ~ sQ249_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f2048]) ).
fof(f2051,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| sQ137_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f1949,f2048,f621,f418,f163]) ).
fof(f2052,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| sQ170_spl
| sQ249_spl ),
inference(split_clause,[status(thm)],[f1950,f2048,f1006,f418,f163]) ).
fof(f2053,definition,
! [X0] :
( sQ250_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2054,plain,
! [X0] :
( ~ sQ250_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f2053]) ).
fof(f2056,plain,
( ~ sQ42_spl
| ~ sQ97_spl
| sQ141_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f1951,f2053,f659,f418,f232]) ).
fof(f2057,plain,
( ~ sQ42_spl
| ~ sQ97_spl
| sQ133_spl
| sQ250_spl ),
inference(split_clause,[status(thm)],[f1952,f2053,f581,f418,f232]) ).
fof(f2058,definition,
! [X0] :
( sQ251_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2059,plain,
! [X0] :
( ~ sQ251_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2058]) ).
fof(f2061,plain,
( ~ sQ97_spl
| sQ144_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f1956,f2058,f685,f418]) ).
fof(f2062,plain,
( ~ sQ97_spl
| sQ130_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f1957,f2058,f559,f418]) ).
fof(f2063,definition,
! [X0] :
( sQ252_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2064,plain,
! [X0] :
( ~ sQ252_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2063]) ).
fof(f2066,plain,
( ~ sQ99_spl
| sQ137_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f1873,f2063,f621,f424]) ).
fof(f2067,plain,
( ~ sQ99_spl
| sQ171_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f1874,f2063,f1018,f424]) ).
fof(f2068,plain,
( ~ sQ248_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f2043,f65]) ).
fof(f2069,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1875,f65]) ).
fof(f2070,plain,
( ~ sQ99_spl
| sQ148_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f2069,f2063,f729,f424]) ).
fof(f2071,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1876,f65]) ).
fof(f2072,plain,
( ~ sQ99_spl
| sQ132_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f2071,f2063,f577,f424]) ).
fof(f2073,plain,
( ~ sQ94_spl
| ~ sQ145_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f409,f718]) ).
fof(f2074,plain,
( ~ sQ94_spl
| ~ sQ145_spl ),
inference(contradiction_clause,[status(thm)],[f2073]) ).
fof(f2075,plain,
( ~ sQ93_spl
| ~ sQ178_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f406,f1306]) ).
fof(f2076,plain,
( ~ sQ93_spl
| ~ sQ178_spl ),
inference(contradiction_clause,[status(thm)],[f2075]) ).
fof(f2077,plain,
( ~ sQ92_spl
| ~ sQ212_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f403,f1863]) ).
fof(f2078,plain,
( ~ sQ92_spl
| ~ sQ212_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f2077]) ).
fof(f2079,plain,
( ~ sQ15_spl
| ~ sQ90_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f397,f719]) ).
fof(f2080,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ90_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f397,f907]) ).
fof(f2081,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ90_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f397,f906]) ).
fof(f2082,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ90_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f397,f1373]) ).
fof(f2083,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ90_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f397,f1374]) ).
fof(f2084,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ90_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f397,f724]) ).
fof(f2085,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ90_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f397,f725]) ).
fof(f2086,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f397,f64]) ).
fof(f2087,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f397,f62]) ).
fof(f2088,plain,
( ~ sQ90_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f397,f77]) ).
fof(f2089,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,X0)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f397,f60]) ).
fof(f2090,plain,
! [X0] :
( ~ sQ90_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f397,f71]) ).
fof(f2092,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f397,f69]) ).
fof(f2093,plain,
! [X0,X1,X2] :
( ~ sQ90_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f397,f67]) ).
fof(f2094,plain,
( ~ sQ15_spl
| ~ sQ90_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f2079,f621,f396,f141]) ).
fof(f2095,plain,
( ~ sQ5_spl
| ~ sQ90_spl
| sQ137_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f2080,f929,f621,f396,f109]) ).
fof(f2096,plain,
( ~ sQ5_spl
| ~ sQ90_spl
| sQ141_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f2081,f929,f659,f396,f109]) ).
fof(f2097,plain,
( ~ sQ25_spl
| ~ sQ90_spl
| sQ137_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f2082,f1301,f621,f396,f178]) ).
fof(f2098,plain,
( ~ sQ25_spl
| ~ sQ90_spl
| sQ141_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f2083,f1301,f659,f396,f178]) ).
fof(f2099,plain,
( ~ sQ15_spl
| ~ sQ90_spl
| sQ146_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f2084,f710,f714,f396,f141]) ).
fof(f2100,plain,
( ~ sQ15_spl
| ~ sQ90_spl
| sQ137_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f2085,f710,f621,f396,f141]) ).
fof(f2101,plain,
( ~ sQ90_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f2088,f581,f396]) ).
fof(f2102,definition,
! [X0] :
( sQ253_spl
<=> ( ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2103,plain,
! [X0] :
( ~ sQ253_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2102]) ).
fof(f2105,plain,
( ~ sQ90_spl
| sQ135_spl
| sQ253_spl ),
inference(split_clause,[status(thm)],[f2090,f2102,f607,f396]) ).
fof(f2107,plain,
( ~ sQ253_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f2103,f65]) ).
fof(f2108,plain,
( ~ sQ89_spl
| ~ sQ156_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f393,f823]) ).
fof(f2109,plain,
( ~ sQ89_spl
| ~ sQ156_spl ),
inference(contradiction_clause,[status(thm)],[f2108]) ).
fof(f2110,plain,
( ~ sQ88_spl
| ~ sQ185_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f390,f1320]) ).
fof(f2111,plain,
( ~ sQ88_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2110]) ).
fof(f2112,plain,
( ~ sQ87_spl
| ~ sQ219_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f387,f1882]) ).
fof(f2113,plain,
( ~ sQ87_spl
| ~ sQ219_spl ),
inference(contradiction_clause,[status(thm)],[f2112]) ).
fof(f2114,plain,
( ~ sQ11_spl
| ~ sQ86_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f384,f800]) ).
fof(f2115,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ86_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f384,f1821]) ).
fof(f2116,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ86_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f384,f1820]) ).
fof(f2117,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ86_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f384,f805]) ).
fof(f2118,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ86_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f384,f806]) ).
fof(f2119,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ86_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f384,f987]) ).
fof(f2120,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ86_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f384,f986]) ).
fof(f2121,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f384,f64]) ).
fof(f2122,plain,
( ~ sQ86_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f384,f79]) ).
fof(f2123,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f384,f62]) ).
fof(f2124,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f384,f60]) ).
fof(f2125,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f384,f71]) ).
fof(f2126,plain,
! [X0] :
( ~ sQ86_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f384,f70]) ).
fof(f2127,plain,
! [X0,X1,X2] :
( ~ sQ86_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f384,f69]) ).
fof(f2128,plain,
! [X0,X1,X2] :
( ~ sQ86_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f384,f67]) ).
fof(f2129,plain,
( ~ sQ11_spl
| ~ sQ86_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f2114,f621,f383,f128]) ).
fof(f2130,definition,
! [X0] :
( sQ254_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2131,plain,
! [X0] :
( ~ sQ254_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f2130]) ).
fof(f2133,plain,
( ~ sQ51_spl
| ~ sQ86_spl
| sQ144_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f2115,f2130,f685,f383,f266]) ).
fof(f2134,plain,
( ~ sQ51_spl
| ~ sQ86_spl
| sQ136_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f2116,f2130,f614,f383,f266]) ).
fof(f2135,definition,
! [X0] :
( sQ255_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2136,plain,
! [X0] :
( ~ sQ255_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f2135]) ).
fof(f2138,plain,
( ~ sQ11_spl
| ~ sQ86_spl
| sQ154_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2117,f2135,f792,f383,f128]) ).
fof(f2139,plain,
( ~ sQ11_spl
| ~ sQ86_spl
| sQ137_spl
| sQ255_spl ),
inference(split_clause,[status(thm)],[f2118,f2135,f621,f383,f128]) ).
fof(f2140,definition,
! [X0] :
( sQ256_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2141,plain,
! [X0] :
( ~ sQ256_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f2140]) ).
fof(f2143,plain,
( ~ sQ46_spl
| ~ sQ86_spl
| sQ141_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2119,f2140,f659,f383,f245]) ).
fof(f2144,plain,
( ~ sQ46_spl
| ~ sQ86_spl
| sQ134_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f2120,f2140,f600,f383,f245]) ).
fof(f2145,plain,
( ~ sQ86_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f2122,f817,f383]) ).
fof(f2146,definition,
! [X0] :
( sQ257_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2147,plain,
! [X0] :
( ~ sQ257_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2146]) ).
fof(f2149,plain,
( ~ sQ86_spl
| sQ146_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2125,f2146,f714,f383]) ).
fof(f2150,plain,
( ~ sQ86_spl
| sQ157_spl
| sQ257_spl ),
inference(split_clause,[status(thm)],[f2126,f2146,f817,f383]) ).
fof(f2151,plain,
( ~ sQ257_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f2147,f65]) ).
fof(f2152,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ85_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f381,f907]) ).
fof(f2153,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ85_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f381,f906]) ).
fof(f2154,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ85_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f381,f1373]) ).
fof(f2155,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ85_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f381,f1374]) ).
fof(f2156,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ85_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f381,f724]) ).
fof(f2157,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ85_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f381,f725]) ).
fof(f2158,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f381,f64]) ).
fof(f2159,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f381,f62]) ).
fof(f2160,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f381,f60]) ).
fof(f2161,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f381,f71]) ).
fof(f2162,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f381,f70]) ).
fof(f2163,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f381,f69]) ).
fof(f2164,plain,
! [X0,X1,X2] :
( ~ sQ85_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f381,f67]) ).
fof(f2165,definition,
! [X0] :
( sQ258_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2166,plain,
! [X0] :
( ~ sQ258_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2165]) ).
fof(f2168,plain,
( ~ sQ5_spl
| ~ sQ85_spl
| sQ137_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f2152,f2165,f621,f380,f109]) ).
fof(f2169,plain,
( ~ sQ5_spl
| ~ sQ85_spl
| sQ152_spl
| sQ258_spl ),
inference(split_clause,[status(thm)],[f2153,f2165,f773,f380,f109]) ).
fof(f2170,definition,
! [X0] :
( sQ259_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2171,plain,
! [X0] :
( ~ sQ259_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f2170]) ).
fof(f2173,plain,
( ~ sQ25_spl
| ~ sQ85_spl
| sQ136_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2154,f2170,f614,f380,f178]) ).
fof(f2174,plain,
( ~ sQ25_spl
| ~ sQ85_spl
| sQ141_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2155,f2170,f659,f380,f178]) ).
fof(f2175,definition,
! [X0] :
( sQ260_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2176,plain,
! [X0] :
( ~ sQ260_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f2175]) ).
fof(f2178,plain,
( ~ sQ15_spl
| ~ sQ85_spl
| sQ157_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f2156,f2175,f817,f380,f141]) ).
fof(f2179,plain,
( ~ sQ15_spl
| ~ sQ85_spl
| sQ137_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f2157,f2175,f621,f380,f141]) ).
fof(f2180,definition,
! [X0] :
( sQ261_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2181,plain,
! [X0] :
( ~ sQ261_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2180]) ).
fof(f2183,plain,
( ~ sQ85_spl
| sQ135_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2161,f2180,f607,f380]) ).
fof(f2184,plain,
( ~ sQ85_spl
| sQ134_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2162,f2180,f600,f380]) ).
fof(f2185,plain,
( ~ sQ87_spl
| ~ sQ128_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f387,f1868]) ).
fof(f2186,plain,
( ~ sQ87_spl
| ~ sQ128_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f2185]) ).
fof(f2187,plain,
( ~ sQ261_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f2181,f65]) ).
fof(f2188,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ85_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2163,f179]) ).
fof(f2189,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2163,f65]) ).
fof(f2190,plain,
( ~ sQ25_spl
| ~ sQ85_spl
| sQ129_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2188,f2170,f555,f380,f178]) ).
fof(f2191,plain,
( ~ sQ85_spl
| sQ130_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2189,f2180,f559,f380]) ).
fof(f2192,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ85_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2164,f179]) ).
fof(f2193,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2164,f65]) ).
fof(f2194,plain,
( ~ sQ25_spl
| ~ sQ85_spl
| sQ166_spl
| sQ259_spl ),
inference(split_clause,[status(thm)],[f2192,f2170,f933,f380,f178]) ).
fof(f2195,plain,
( ~ sQ85_spl
| sQ133_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f2193,f2180,f581,f380]) ).
fof(f2197,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1103,f65]) ).
fof(f2198,definition,
! [X0] :
( sQ262_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2199,plain,
! [X0] :
( ~ sQ262_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f2198]) ).
fof(f2202,plain,
( ~ sQ40_spl
| sQ133_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f2197,f1111,f581,f226]) ).
fof(f2203,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ40_spl
| equalish(e_4,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1104,f179]) ).
fof(f2204,plain,
! [X0] :
( ~ sQ40_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1104,f65]) ).
fof(f2205,plain,
( ~ sQ25_spl
| ~ sQ40_spl
| sQ161_spl
| sQ262_spl ),
inference(split_clause,[status(thm)],[f2203,f2198,f873,f226,f178]) ).
fof(f2206,plain,
( ~ sQ40_spl
| sQ127_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f2204,f1111,f537,f226]) ).
fof(f2207,plain,
( ~ sQ25_spl
| ~ sQ40_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1099,f179]) ).
fof(f2208,plain,
( ~ sQ25_spl
| ~ sQ40_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f2207,f577,f226,f178]) ).
fof(f2213,plain,
( ~ sQ84_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f377,f1322]) ).
fof(f2214,plain,
( ~ sQ84_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f2213]) ).
fof(f2215,plain,
( ~ sQ83_spl
| ~ sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f1326]) ).
fof(f2216,plain,
( ~ sQ83_spl
| ~ sQ189_spl ),
inference(contradiction_clause,[status(thm)],[f2215]) ).
fof(f2217,plain,
( ~ sQ82_spl
| ~ sQ228_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f371,f1886]) ).
fof(f2218,plain,
( ~ sQ82_spl
| ~ sQ228_spl ),
inference(contradiction_clause,[status(thm)],[f2217]) ).
fof(f2219,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ81_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f368,f1821]) ).
fof(f2220,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ81_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f368,f1820]) ).
fof(f2221,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ81_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f368,f987]) ).
fof(f2222,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ81_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f368,f986]) ).
fof(f2223,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f368,f64]) ).
fof(f2224,plain,
( ~ sQ81_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f368,f79]) ).
fof(f2225,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f368,f62]) ).
fof(f2226,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f368,f60]) ).
fof(f2227,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f368,f71]) ).
fof(f2228,plain,
! [X0] :
( ~ sQ81_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f368,f70]) ).
fof(f2229,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f368,f69]) ).
fof(f2230,plain,
! [X0,X1,X2] :
( ~ sQ81_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f368,f67]) ).
fof(f2231,definition,
! [X0] :
( sQ263_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2232,plain,
! [X0] :
( ~ sQ263_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f2231]) ).
fof(f2234,plain,
( ~ sQ51_spl
| ~ sQ81_spl
| sQ144_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2219,f2231,f685,f367,f266]) ).
fof(f2235,plain,
( ~ sQ51_spl
| ~ sQ81_spl
| sQ174_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f2220,f2231,f1054,f367,f266]) ).
fof(f2236,definition,
! [X0] :
( sQ264_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2237,plain,
! [X0] :
( ~ sQ264_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f2236]) ).
fof(f2239,plain,
( ~ sQ46_spl
| ~ sQ81_spl
| sQ141_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2221,f2236,f659,f367,f245]) ).
fof(f2240,plain,
( ~ sQ46_spl
| ~ sQ81_spl
| sQ163_spl
| sQ264_spl ),
inference(split_clause,[status(thm)],[f2222,f2236,f914,f367,f245]) ).
fof(f2241,plain,
( ~ sQ81_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f2224,f933,f367]) ).
fof(f2242,definition,
! [X0] :
( sQ265_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2243,plain,
! [X0] :
( ~ sQ265_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2242]) ).
fof(f2245,plain,
( ~ sQ81_spl
| sQ146_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2227,f2242,f714,f367]) ).
fof(f2246,plain,
( ~ sQ81_spl
| sQ166_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f2228,f2242,f933,f367]) ).
fof(f2247,plain,
( ~ sQ5_spl
| ~ sQ80_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f365,f901]) ).
fof(f2248,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ80_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f365,f907]) ).
fof(f2249,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ80_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f365,f906]) ).
fof(f2250,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ80_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f365,f1373]) ).
fof(f2251,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ80_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f365,f1374]) ).
fof(f2252,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f365,f64]) ).
fof(f2253,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f365,f62]) ).
fof(f2254,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_1,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f365,f60]) ).
fof(f2255,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f71]) ).
fof(f2256,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f365,f70]) ).
fof(f2257,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f365,f69]) ).
fof(f2258,plain,
! [X0,X1,X2] :
( ~ sQ80_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f365,f67]) ).
fof(f2259,plain,
( ~ sQ5_spl
| ~ sQ80_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f2247,f621,f364,f109]) ).
fof(f2260,definition,
! [X0] :
( sQ266_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2261,plain,
! [X0] :
( ~ sQ266_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2260]) ).
fof(f2263,plain,
( ~ sQ5_spl
| ~ sQ80_spl
| sQ137_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2248,f2260,f621,f364,f109]) ).
fof(f2264,plain,
( ~ sQ5_spl
| ~ sQ80_spl
| sQ161_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f2249,f2260,f873,f364,f109]) ).
fof(f2265,definition,
! [X0] :
( sQ267_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2266,plain,
! [X0] :
( ~ sQ267_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f2265]) ).
fof(f2268,plain,
( ~ sQ25_spl
| ~ sQ80_spl
| sQ174_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2250,f2265,f1054,f364,f178]) ).
fof(f2269,plain,
( ~ sQ25_spl
| ~ sQ80_spl
| sQ141_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f2251,f2265,f659,f364,f178]) ).
fof(f2270,definition,
! [X0] :
( sQ268_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2271,plain,
! [X0] :
( ~ sQ268_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2270]) ).
fof(f2273,plain,
( ~ sQ80_spl
| sQ135_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f2255,f2270,f607,f364]) ).
fof(f2274,plain,
( ~ sQ80_spl
| sQ163_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f2256,f2270,f914,f364]) ).
fof(f2275,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ79_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f361,f1675]) ).
fof(f2276,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ79_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f361,f1674]) ).
fof(f2277,plain,
( ~ sQ79_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f361,f81]) ).
fof(f2278,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f361,f64]) ).
fof(f2279,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f361,f62]) ).
fof(f2280,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f361,f60]) ).
fof(f2281,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f361,f71]) ).
fof(f2282,plain,
! [X0] :
( ~ sQ79_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f361,f70]) ).
fof(f2283,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f361,f69]) ).
fof(f2284,plain,
! [X0,X1,X2] :
( ~ sQ79_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f361,f67]) ).
fof(f2285,definition,
! [X0] :
( sQ269_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2286,plain,
! [X0] :
( ~ sQ269_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2285]) ).
fof(f2288,plain,
( ~ sQ59_spl
| ~ sQ79_spl
| sQ144_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2275,f2285,f685,f360,f291]) ).
fof(f2289,plain,
( ~ sQ59_spl
| ~ sQ79_spl
| sQ126_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f2276,f2285,f533,f360,f291]) ).
fof(f2290,plain,
( ~ sQ79_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f2277,f621,f360]) ).
fof(f2291,definition,
! [X0] :
( sQ270_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2292,plain,
! [X0] :
( ~ sQ270_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2291]) ).
fof(f2294,plain,
( ~ sQ79_spl
| sQ137_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2281,f2291,f621,f360]) ).
fof(f2295,plain,
( ~ sQ79_spl
| sQ139_spl
| sQ270_spl ),
inference(split_clause,[status(thm)],[f2282,f2291,f643,f360]) ).
fof(f2296,plain,
( ~ sQ78_spl
| ~ sQ195_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f358,f1330]) ).
fof(f2297,plain,
( ~ sQ78_spl
| ~ sQ195_spl ),
inference(contradiction_clause,[status(thm)],[f2296]) ).
fof(f2298,plain,
( ~ sQ77_spl
| ~ sQ238_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f355,f1893]) ).
fof(f2299,plain,
( ~ sQ77_spl
| ~ sQ238_spl ),
inference(contradiction_clause,[status(thm)],[f2298]) ).
fof(f2300,plain,
( ~ sQ51_spl
| ~ sQ76_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f352,f1815]) ).
fof(f2301,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ76_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f352,f1821]) ).
fof(f2302,plain,
! [X0] :
( ~ sQ51_spl
| ~ sQ76_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f352,f1820]) ).
fof(f2303,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ76_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f352,f987]) ).
fof(f2304,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ76_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f352,f986]) ).
fof(f2305,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f352,f64]) ).
fof(f2306,plain,
( ~ sQ76_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f352,f79]) ).
fof(f2307,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f352,f62]) ).
fof(f2308,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f352,f60]) ).
fof(f2309,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f352,f71]) ).
fof(f2310,plain,
! [X0] :
( ~ sQ76_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f352,f70]) ).
fof(f2311,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f352,f69]) ).
fof(f2312,plain,
! [X0,X1,X2] :
( ~ sQ76_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f352,f67]) ).
fof(f2313,plain,
( ~ sQ51_spl
| ~ sQ76_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f2300,f685,f351,f266]) ).
fof(f2314,definition,
! [X0] :
( sQ271_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2315,plain,
! [X0] :
( ~ sQ271_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f2314]) ).
fof(f2317,plain,
( ~ sQ51_spl
| ~ sQ76_spl
| sQ144_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2301,f2314,f685,f351,f266]) ).
fof(f2318,plain,
( ~ sQ51_spl
| ~ sQ76_spl
| sQ139_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f2302,f2314,f643,f351,f266]) ).
fof(f2319,definition,
! [X0] :
( sQ272_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2320,plain,
! [X0] :
( ~ sQ272_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f2319]) ).
fof(f2322,plain,
( ~ sQ46_spl
| ~ sQ76_spl
| sQ141_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2303,f2319,f659,f351,f245]) ).
fof(f2323,plain,
( ~ sQ46_spl
| ~ sQ76_spl
| sQ148_spl
| sQ272_spl ),
inference(split_clause,[status(thm)],[f2304,f2319,f729,f351,f245]) ).
fof(f2324,plain,
( ~ sQ76_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f2306,f577,f351]) ).
fof(f2325,definition,
! [X0] :
( sQ273_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2326,plain,
! [X0] :
( ~ sQ273_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2325]) ).
fof(f2328,plain,
( ~ sQ76_spl
| sQ146_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f2309,f2325,f714,f351]) ).
fof(f2329,plain,
( ~ sQ76_spl
| sQ132_spl
| sQ273_spl ),
inference(split_clause,[status(thm)],[f2310,f2325,f577,f351]) ).
fof(f2330,plain,
( ~ sQ25_spl
| ~ sQ75_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f349,f1368]) ).
fof(f2331,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ75_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f349,f907]) ).
fof(f2332,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ75_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f349,f906]) ).
fof(f2333,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ75_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f349,f1373]) ).
fof(f2334,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ75_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f349,f1374]) ).
fof(f2335,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f349,f64]) ).
fof(f2336,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f349,f62]) ).
fof(f2337,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f349,f60]) ).
fof(f2338,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f349,f71]) ).
fof(f2339,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f349,f70]) ).
fof(f2340,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f349,f69]) ).
fof(f2341,plain,
! [X0,X1,X2] :
( ~ sQ75_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f349,f67]) ).
fof(f2342,plain,
( ~ sQ25_spl
| ~ sQ75_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f2330,f659,f348,f178]) ).
fof(f2343,definition,
! [X0] :
( sQ274_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2344,plain,
! [X0] :
( ~ sQ274_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2343]) ).
fof(f2346,plain,
( ~ sQ5_spl
| ~ sQ75_spl
| sQ137_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f2331,f2343,f621,f348,f109]) ).
fof(f2347,plain,
( ~ sQ5_spl
| ~ sQ75_spl
| sQ126_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f2332,f2343,f533,f348,f109]) ).
fof(f2348,definition,
! [X0] :
( sQ275_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2349,plain,
! [X0] :
( ~ sQ275_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f2348]) ).
fof(f2351,plain,
( ~ sQ25_spl
| ~ sQ75_spl
| sQ139_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f2333,f2348,f643,f348,f178]) ).
fof(f2352,plain,
( ~ sQ25_spl
| ~ sQ75_spl
| sQ141_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f2334,f2348,f659,f348,f178]) ).
fof(f2353,definition,
! [X0] :
( sQ276_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2354,plain,
! [X0] :
( ~ sQ276_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2353]) ).
fof(f2356,plain,
( ~ sQ75_spl
| sQ135_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f2338,f2353,f607,f348]) ).
fof(f2357,plain,
( ~ sQ75_spl
| sQ148_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f2339,f2353,f729,f348]) ).
fof(f2358,plain,
( ~ sQ53_spl
| ~ sQ193_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f273,f1329]) ).
fof(f2359,plain,
( ~ sQ53_spl
| ~ sQ193_spl ),
inference(contradiction_clause,[status(thm)],[f2358]) ).
fof(f2360,plain,
( ~ sQ232_spl
| ~ sQ124_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f510,f1794]) ).
fof(f2361,plain,
( ~ sQ222_spl
| ~ sQ124_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f510,f1696]) ).
fof(f2362,plain,
( ~ sQ182_spl
| ~ sQ124_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f510,f1143]) ).
fof(f2363,plain,
( ~ sQ155_spl
| ~ sQ124_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f510,f809]) ).
fof(f2364,plain,
( ~ sQ173_spl
| ~ sQ124_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f510,f1052]) ).
fof(f2365,plain,
( ~ sQ142_spl
| ~ sQ124_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f510,f677]) ).
fof(f2366,plain,
( ~ sQ125_spl
| ~ sQ124_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f510,f531]) ).
fof(f2367,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f510,f64]) ).
fof(f2368,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f510,f62]) ).
fof(f2369,plain,
( ~ sQ124_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f510,f77]) ).
fof(f2370,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,X0)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f510,f60]) ).
fof(f2371,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f510,f71]) ).
fof(f2373,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(e_1,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f510,f69]) ).
fof(f2374,plain,
! [X0,X1,X2] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_1,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f510,f67]) ).
fof(f2375,plain,
( ~ sQ124_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f2369,f729,f509]) ).
fof(f2376,definition,
! [X0] :
( sQ277_spl
<=> ( ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2377,plain,
! [X0] :
( ~ sQ277_spl
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2376]) ).
fof(f2379,plain,
( ~ sQ124_spl
| sQ171_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f2371,f2376,f1018,f509]) ).
fof(f2381,plain,
( ~ sQ123_spl
| ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f507,f1010]) ).
fof(f2382,plain,
( ~ sQ123_spl
| ~ sQ169_spl ),
inference(contradiction_clause,[status(thm)],[f2381]) ).
fof(f2383,plain,
( ~ sQ122_spl
| ~ sQ211_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f504,f1540]) ).
fof(f2384,plain,
( ~ sQ122_spl
| ~ sQ211_spl ),
inference(contradiction_clause,[status(thm)],[f2383]) ).
fof(f2385,plain,
( ~ sQ121_spl
| ~ sQ248_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f501,f2068]) ).
fof(f2386,plain,
( ~ sQ121_spl
| ~ sQ248_spl ),
inference(contradiction_clause,[status(thm)],[f2385]) ).
fof(f2387,plain,
( ~ sQ119_spl
| ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f494,f736]) ).
fof(f2388,plain,
( ~ sQ119_spl
| ~ sQ147_spl ),
inference(contradiction_clause,[status(thm)],[f2387]) ).
fof(f2389,plain,
( ~ sQ265_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f2243,f65]) ).
fof(f2390,plain,
( ~ sQ268_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f2271,f65]) ).
fof(f2395,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1958,f65]) ).
fof(f2396,plain,
( ~ sQ97_spl
| sQ134_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2395,f2058,f600,f418]) ).
fof(f2397,plain,
! [X0] :
( ~ sQ97_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1959,f65]) ).
fof(f2398,plain,
( ~ sQ97_spl
| sQ157_spl
| sQ251_spl ),
inference(split_clause,[status(thm)],[f2397,f2058,f817,f418]) ).
fof(f2399,plain,
( ~ sQ273_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f2326,f65]) ).
fof(f2400,plain,
( ~ sQ276_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f2354,f65]) ).
fof(f2401,plain,
( ~ sQ277_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f2377,f65]) ).
fof(f2406,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ65_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1599,f179]) ).
fof(f2407,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1599,f65]) ).
fof(f2408,definition,
! [X0] :
( sQ278_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2409,plain,
! [X0] :
( ~ sQ278_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f2408]) ).
fof(f2411,plain,
( ~ sQ25_spl
| ~ sQ65_spl
| sQ132_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f2406,f2408,f577,f311,f178]) ).
fof(f2412,plain,
( ~ sQ65_spl
| sQ133_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f2407,f1607,f581,f311]) ).
fof(f2413,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ65_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1600,f179]) ).
fof(f2414,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1600,f65]) ).
fof(f2415,plain,
( ~ sQ25_spl
| ~ sQ65_spl
| sQ176_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f2413,f2408,f1062,f311,f178]) ).
fof(f2416,plain,
( ~ sQ65_spl
| sQ130_spl
| sQ216_spl ),
inference(split_clause,[status(thm)],[f2414,f1607,f559,f311]) ).
fof(f2417,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f768,f65]) ).
fof(f2418,plain,
( ~ sQ13_spl
| sQ174_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f2417,f769,f1054,f134]) ).
fof(f2419,plain,
! [X0] :
( ~ sQ13_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f767,f65]) ).
fof(f2420,plain,
( ~ sQ13_spl
| sQ176_spl
| sQ151_spl ),
inference(split_clause,[status(thm)],[f2419,f769,f1062,f134]) ).
fof(f2421,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ55_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1753,f179]) ).
fof(f2422,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1753,f65]) ).
fof(f2423,definition,
! [X0] :
( sQ279_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2424,plain,
! [X0] :
( ~ sQ279_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f2423]) ).
fof(f2426,plain,
( ~ sQ25_spl
| ~ sQ55_spl
| sQ126_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f2421,f2423,f533,f279,f178]) ).
fof(f2427,plain,
( ~ sQ55_spl
| sQ127_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f2422,f1760,f537,f279]) ).
fof(f2428,plain,
( ~ sQ59_spl
| ~ sQ217_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f1885]) ).
fof(f2429,plain,
( ~ sQ59_spl
| ~ sQ217_spl ),
inference(contradiction_clause,[status(thm)],[f2428]) ).
fof(f2434,plain,
( ~ sQ118_spl
| ~ sQ180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f491,f1307]) ).
fof(f2435,plain,
( ~ sQ118_spl
| ~ sQ180_spl ),
inference(contradiction_clause,[status(thm)],[f2434]) ).
fof(f2436,plain,
( ~ sQ117_spl
| ~ sQ216_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f1612]) ).
fof(f2437,plain,
( ~ sQ117_spl
| ~ sQ216_spl ),
inference(contradiction_clause,[status(thm)],[f2436]) ).
fof(f2438,plain,
( ~ sQ116_spl
| ~ sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f485,f2107]) ).
fof(f2439,plain,
( ~ sQ116_spl
| ~ sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f2438]) ).
fof(f2440,plain,
( ~ sQ65_spl
| ~ sQ115_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f482,f1594]) ).
fof(f2441,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ115_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f482,f1600]) ).
fof(f2442,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ115_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f482,f1599]) ).
fof(f2443,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ115_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f482,f907]) ).
fof(f2444,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ115_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f482,f906]) ).
fof(f2445,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ115_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f482,f1373]) ).
fof(f2446,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ115_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f482,f1374]) ).
fof(f2447,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f482,f64]) ).
fof(f2448,plain,
( ~ sQ115_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f482,f79]) ).
fof(f2449,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f482,f62]) ).
fof(f2450,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f482,f60]) ).
fof(f2451,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f482,f71]) ).
fof(f2452,plain,
! [X0] :
( ~ sQ115_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f482,f70]) ).
fof(f2453,plain,
! [X0,X1,X2] :
( ~ sQ115_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f482,f69]) ).
fof(f2454,plain,
! [X0,X1,X2] :
( ~ sQ115_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f482,f67]) ).
fof(f2455,plain,
( ~ sQ65_spl
| ~ sQ115_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f2440,f559,f481,f311]) ).
fof(f2456,definition,
! [X0] :
( sQ280_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2457,plain,
! [X0] :
( ~ sQ280_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f2456]) ).
fof(f2459,plain,
( ~ sQ65_spl
| ~ sQ115_spl
| sQ130_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f2441,f2456,f559,f481,f311]) ).
fof(f2460,plain,
( ~ sQ65_spl
| ~ sQ115_spl
| sQ146_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f2442,f2456,f714,f481,f311]) ).
fof(f2461,definition,
! [X0] :
( sQ281_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2462,plain,
! [X0] :
( ~ sQ281_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2461]) ).
fof(f2464,plain,
( ~ sQ5_spl
| ~ sQ115_spl
| sQ171_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2443,f2461,f1018,f481,f109]) ).
fof(f2465,plain,
( ~ sQ5_spl
| ~ sQ115_spl
| sQ141_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f2444,f2461,f659,f481,f109]) ).
fof(f2466,definition,
! [X0] :
( sQ282_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2467,plain,
! [X0] :
( ~ sQ282_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f2466]) ).
fof(f2469,plain,
( ~ sQ25_spl
| ~ sQ115_spl
| sQ137_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f2445,f2466,f621,f481,f178]) ).
fof(f2470,plain,
( ~ sQ25_spl
| ~ sQ115_spl
| sQ127_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f2446,f2466,f537,f481,f178]) ).
fof(f2471,plain,
( ~ sQ115_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f2448,f607,f481]) ).
fof(f2472,definition,
! [X0] :
( sQ283_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2473,plain,
! [X0] :
( ~ sQ283_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2472]) ).
fof(f2475,plain,
( ~ sQ115_spl
| sQ170_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f2451,f2472,f1006,f481]) ).
fof(f2476,plain,
( ~ sQ115_spl
| sQ135_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f2452,f2472,f607,f481]) ).
fof(f2477,plain,
( ~ sQ283_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f2473,f65]) ).
fof(f2478,plain,
( ~ sQ114_spl
| ~ sQ158_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f478,f838]) ).
fof(f2479,plain,
( ~ sQ114_spl
| ~ sQ158_spl ),
inference(contradiction_clause,[status(thm)],[f2478]) ).
fof(f2480,plain,
( ~ sQ113_spl
| ~ sQ187_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f475,f1321]) ).
fof(f2481,plain,
( ~ sQ113_spl
| ~ sQ187_spl ),
inference(contradiction_clause,[status(thm)],[f2480]) ).
fof(f2482,plain,
( ~ sQ112_spl
| ~ sQ220_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f472,f1883]) ).
fof(f2483,plain,
( ~ sQ112_spl
| ~ sQ220_spl ),
inference(contradiction_clause,[status(thm)],[f2482]) ).
fof(f2484,plain,
( ~ sQ111_spl
| ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f469,f2187]) ).
fof(f2485,plain,
( ~ sQ111_spl
| ~ sQ261_spl ),
inference(contradiction_clause,[status(thm)],[f2484]) ).
fof(f2486,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ110_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f466,f1600]) ).
fof(f2487,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ110_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f466,f1599]) ).
fof(f2488,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ110_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f466,f907]) ).
fof(f2489,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ110_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f466,f906]) ).
fof(f2490,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ110_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f466,f1373]) ).
fof(f2491,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ110_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f466,f1374]) ).
fof(f2492,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f466,f64]) ).
fof(f2493,plain,
( ~ sQ110_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f466,f79]) ).
fof(f2494,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f466,f62]) ).
fof(f2495,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f466,f60]) ).
fof(f2496,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f466,f71]) ).
fof(f2497,plain,
! [X0] :
( ~ sQ110_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f466,f70]) ).
fof(f2498,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f466,f69]) ).
fof(f2499,plain,
! [X0,X1,X2] :
( ~ sQ110_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f466,f67]) ).
fof(f2500,definition,
! [X0] :
( sQ284_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2501,plain,
! [X0] :
( ~ sQ284_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f2500]) ).
fof(f2503,plain,
( ~ sQ65_spl
| ~ sQ110_spl
| sQ130_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f2486,f2500,f559,f465,f311]) ).
fof(f2504,plain,
( ~ sQ65_spl
| ~ sQ110_spl
| sQ157_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f2487,f2500,f817,f465,f311]) ).
fof(f2505,definition,
! [X0] :
( sQ285_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2506,plain,
! [X0] :
( ~ sQ285_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2505]) ).
fof(f2508,plain,
( ~ sQ5_spl
| ~ sQ110_spl
| sQ171_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f2488,f2505,f1018,f465,f109]) ).
fof(f2509,plain,
( ~ sQ5_spl
| ~ sQ110_spl
| sQ152_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f2489,f2505,f773,f465,f109]) ).
fof(f2510,definition,
! [X0] :
( sQ286_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f2511,plain,
! [X0] :
( ~ sQ286_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f2510]) ).
fof(f2513,plain,
( ~ sQ25_spl
| ~ sQ110_spl
| sQ136_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f2490,f2510,f614,f465,f178]) ).
fof(f2514,plain,
( ~ sQ25_spl
| ~ sQ110_spl
| sQ127_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f2491,f2510,f537,f465,f178]) ).
fof(f2515,plain,
( ~ sQ110_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f2493,f600,f465]) ).
fof(f2516,definition,
! [X0] :
( sQ287_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f2517,plain,
! [X0] :
( ~ sQ287_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2516]) ).
fof(f2519,plain,
( ~ sQ110_spl
| sQ170_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f2496,f2516,f1006,f465]) ).
fof(f2520,plain,
( ~ sQ110_spl
| sQ134_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f2497,f2516,f600,f465]) ).
fof(f2521,plain,
( ~ sQ287_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f2517,f65]) ).
fof(f2522,plain,
( ~ sQ109_spl
| ~ sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f462,f920]) ).
fof(f2523,plain,
( ~ sQ109_spl
| ~ sQ162_spl ),
inference(contradiction_clause,[status(thm)],[f2522]) ).
fof(f2524,plain,
( ~ sQ108_spl
| ~ sQ190_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f459,f1327]) ).
fof(f2525,plain,
( ~ sQ108_spl
| ~ sQ190_spl ),
inference(contradiction_clause,[status(thm)],[f2524]) ).
fof(f2526,plain,
( ~ sQ107_spl
| ~ sQ230_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f456,f1887]) ).
fof(f2527,plain,
( ~ sQ107_spl
| ~ sQ230_spl ),
inference(contradiction_clause,[status(thm)],[f2526]) ).
fof(f2528,plain,
( ~ sQ106_spl
| ~ sQ268_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f453,f2390]) ).
fof(f2529,plain,
( ~ sQ106_spl
| ~ sQ268_spl ),
inference(contradiction_clause,[status(thm)],[f2528]) ).
fof(f2530,plain,
( ~ sQ5_spl
| ~ sQ105_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f450,f901]) ).
fof(f2531,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ105_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f450,f1600]) ).
fof(f2532,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ105_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f450,f1599]) ).
fof(f2533,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ105_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f450,f907]) ).
fof(f2534,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ105_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f450,f906]) ).
fof(f2535,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ105_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f450,f1373]) ).
fof(f2536,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ105_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f450,f1374]) ).
fof(f2537,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f450,f64]) ).
fof(f2538,plain,
( ~ sQ105_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f450,f79]) ).
fof(f2539,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f450,f62]) ).
fof(f2540,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f450,f60]) ).
fof(f2541,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f450,f71]) ).
fof(f2542,plain,
! [X0] :
( ~ sQ105_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f450,f70]) ).
fof(f2543,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f450,f69]) ).
fof(f2544,plain,
! [X0,X1,X2] :
( ~ sQ105_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f450,f67]) ).
fof(f2545,plain,
( ~ sQ5_spl
| ~ sQ105_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f2530,f1018,f449,f109]) ).
fof(f2546,definition,
! [X0] :
( sQ288_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f2547,plain,
! [X0] :
( ~ sQ288_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f2546]) ).
fof(f2549,plain,
( ~ sQ65_spl
| ~ sQ105_spl
| sQ130_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f2531,f2546,f559,f449,f311]) ).
fof(f2550,plain,
( ~ sQ65_spl
| ~ sQ105_spl
| sQ166_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f2532,f2546,f933,f449,f311]) ).
fof(f2551,definition,
! [X0] :
( sQ289_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2552,plain,
! [X0] :
( ~ sQ289_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2551]) ).
fof(f2554,plain,
( ~ sQ5_spl
| ~ sQ105_spl
| sQ171_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f2533,f2551,f1018,f449,f109]) ).
fof(f2555,plain,
( ~ sQ5_spl
| ~ sQ105_spl
| sQ161_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f2534,f2551,f873,f449,f109]) ).
fof(f2556,definition,
! [X0] :
( sQ290_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f2557,plain,
! [X0] :
( ~ sQ290_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f2556]) ).
fof(f2559,plain,
( ~ sQ25_spl
| ~ sQ105_spl
| sQ174_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f2535,f2556,f1054,f449,f178]) ).
fof(f2560,plain,
( ~ sQ25_spl
| ~ sQ105_spl
| sQ127_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f2536,f2556,f537,f449,f178]) ).
fof(f2561,plain,
( ~ sQ105_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f2538,f914,f449]) ).
fof(f2562,definition,
! [X0] :
( sQ291_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f2563,plain,
! [X0] :
( ~ sQ291_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2562]) ).
fof(f2565,plain,
( ~ sQ105_spl
| sQ170_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f2541,f2562,f1006,f449]) ).
fof(f2566,plain,
( ~ sQ105_spl
| sQ163_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f2542,f2562,f914,f449]) ).
fof(f2567,plain,
( ~ sQ291_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f2563,f65]) ).
fof(f2568,plain,
( ~ sQ104_spl
| ~ sQ277_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f446,f2401]) ).
fof(f2569,plain,
( ~ sQ104_spl
| ~ sQ277_spl ),
inference(contradiction_clause,[status(thm)],[f2568]) ).
fof(f2570,plain,
( ~ sQ103_spl
| ~ sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f443,f1386]) ).
fof(f2571,plain,
( ~ sQ103_spl
| ~ sQ199_spl ),
inference(contradiction_clause,[status(thm)],[f2570]) ).
fof(f2572,plain,
( ~ sQ102_spl
| ~ sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f440,f1906]) ).
fof(f2573,plain,
( ~ sQ102_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f2572]) ).
fof(f2574,plain,
( ~ sQ101_spl
| ~ sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f437,f2400]) ).
fof(f2575,plain,
( ~ sQ101_spl
| ~ sQ276_spl ),
inference(contradiction_clause,[status(thm)],[f2574]) ).
fof(f2576,plain,
( ~ sQ25_spl
| ~ sQ100_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f434,f1368]) ).
fof(f2577,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ100_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f434,f1600]) ).
fof(f2578,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ100_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f434,f1599]) ).
fof(f2579,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ100_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f434,f907]) ).
fof(f2580,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ100_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f434,f906]) ).
fof(f2581,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ100_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f434,f1373]) ).
fof(f2582,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ100_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f434,f1374]) ).
fof(f2583,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f434,f64]) ).
fof(f2584,plain,
( ~ sQ100_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f434,f79]) ).
fof(f2585,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f434,f62]) ).
fof(f2586,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f434,f60]) ).
fof(f2587,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f434,f71]) ).
fof(f2588,plain,
! [X0] :
( ~ sQ100_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f434,f70]) ).
fof(f2589,plain,
! [X0,X1,X2] :
( ~ sQ100_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f434,f69]) ).
fof(f2590,plain,
! [X0,X1,X2] :
( ~ sQ100_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f434,f67]) ).
fof(f2591,plain,
( ~ sQ25_spl
| ~ sQ100_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f2576,f537,f433,f178]) ).
fof(f2592,definition,
! [X0] :
( sQ292_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f2593,plain,
! [X0] :
( ~ sQ292_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f2592]) ).
fof(f2595,plain,
( ~ sQ65_spl
| ~ sQ100_spl
| sQ130_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f2577,f2592,f559,f433,f311]) ).
fof(f2596,plain,
( ~ sQ65_spl
| ~ sQ100_spl
| sQ132_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f2578,f2592,f577,f433,f311]) ).
fof(f2597,definition,
! [X0] :
( sQ293_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f2598,plain,
! [X0] :
( ~ sQ293_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2597]) ).
fof(f2600,plain,
( ~ sQ5_spl
| ~ sQ100_spl
| sQ171_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f2579,f2597,f1018,f433,f109]) ).
fof(f2601,plain,
( ~ sQ5_spl
| ~ sQ100_spl
| sQ126_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f2580,f2597,f533,f433,f109]) ).
fof(f2602,definition,
! [X0] :
( sQ294_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f2603,plain,
! [X0] :
( ~ sQ294_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f2602]) ).
fof(f2605,plain,
( ~ sQ25_spl
| ~ sQ100_spl
| sQ139_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f2581,f2602,f643,f433,f178]) ).
fof(f2606,plain,
( ~ sQ25_spl
| ~ sQ100_spl
| sQ127_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f2582,f2602,f537,f433,f178]) ).
fof(f2607,plain,
( ~ sQ100_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f2584,f729,f433]) ).
fof(f2608,definition,
! [X0] :
( sQ295_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f2609,plain,
! [X0] :
( ~ sQ295_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_1) ),
inference(component_clause,[status(thm)],[f2608]) ).
fof(f2611,plain,
( ~ sQ100_spl
| sQ170_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f2587,f2608,f1006,f433]) ).
fof(f2612,plain,
( ~ sQ100_spl
| sQ148_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f2588,f2608,f729,f433]) ).
fof(f2613,plain,
( ~ sQ295_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f2609,f65]) ).
fof(f2614,plain,
( ~ sQ25_spl
| ~ sQ294_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f2603,f179]) ).
fof(f2617,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f246,f567]) ).
fof(f2618,plain,
( ~ sQ252_spl
| ~ sQ46_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f246,f2064]) ).
fof(f2619,plain,
( ~ sQ249_spl
| ~ sQ46_spl
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f246,f2049]) ).
fof(f2620,plain,
( ~ sQ250_spl
| ~ sQ46_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f246,f2054]) ).
fof(f2621,plain,
( ~ sQ251_spl
| ~ sQ46_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f246,f2059]) ).
fof(f2622,plain,
( ~ sQ245_spl
| ~ sQ46_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f246,f2027]) ).
fof(f2623,plain,
( ~ sQ246_spl
| ~ sQ46_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f246,f2032]) ).
fof(f2624,plain,
( ~ sQ247_spl
| ~ sQ46_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f246,f2037]) ).
fof(f2625,plain,
( ~ sQ241_spl
| ~ sQ46_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f246,f1979]) ).
fof(f2626,plain,
( ~ sQ242_spl
| ~ sQ46_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f246,f1984]) ).
fof(f2627,plain,
( ~ sQ243_spl
| ~ sQ46_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f246,f1989]) ).
fof(f2628,plain,
( ~ sQ244_spl
| ~ sQ46_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f246,f1995]) ).
fof(f2630,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ46_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f246,f573]) ).
fof(f2631,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ46_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f246,f572]) ).
fof(f2632,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f246,f987]) ).
fof(f2633,plain,
! [X0] :
( ~ sQ46_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f246,f986]) ).
fof(f2641,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f2617,f1054,f245,f160]) ).
fof(f2642,definition,
! [X0] :
( sQ296_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f2643,plain,
! [X0] :
( ~ sQ296_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f2642]) ).
fof(f2645,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| sQ174_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f2630,f2642,f1054,f245,f160]) ).
fof(f2646,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| sQ170_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f2631,f2642,f1006,f245,f160]) ).
fof(f2647,definition,
! [X0] :
( sQ297_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f2648,plain,
! [X0] :
( ~ sQ297_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f2647]) ).
fof(f2650,plain,
( ~ sQ46_spl
| sQ161_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f2632,f2647,f873,f245]) ).
fof(f2651,plain,
( ~ sQ46_spl
| sQ170_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f2633,f2647,f1006,f245]) ).
fof(f2654,plain,
! [X0] :
( ~ sQ297_spl
| ~ product(X0,e_1,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f2648]) ).
fof(f2655,definition,
! [X0] :
( sQ298_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f2656,plain,
! [X0] :
( ~ sQ298_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f2655]) ).
fof(f2658,plain,
( ~ sQ69_spl
| sQ136_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f1551,f2655,f614,f323]) ).
fof(f2659,plain,
( ~ sQ69_spl
| sQ137_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f1552,f2655,f621,f323]) ).
fof(f2660,plain,
( ~ sQ7_spl
| sQ129_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f882,f1633,f555,f115]) ).
fof(f2661,plain,
( ~ sQ7_spl
| sQ176_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f883,f1633,f1062,f115]) ).
fof(f2670,plain,
( ~ sQ39_spl
| ~ sQ242_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f2626]) ).
fof(f2671,plain,
( ~ sQ39_spl
| ~ sQ242_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2670]) ).
fof(f2676,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ11_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f806,f246]) ).
fof(f2678,definition,
! [X0] :
( sQ299_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f2679,plain,
! [X0] :
( ~ sQ299_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f2678]) ).
fof(f2681,plain,
( ~ sQ46_spl
| ~ sQ11_spl
| sQ174_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f2676,f2678,f1054,f128,f245]) ).
fof(f2683,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ11_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f805,f246]) ).
fof(f2685,plain,
( ~ sQ46_spl
| ~ sQ11_spl
| sQ130_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f2683,f2678,f559,f128,f245]) ).
fof(f2687,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ6_spl
| equalish(e_5,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f897,f246]) ).
fof(f2689,definition,
! [X0] :
( sQ300_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f2690,plain,
! [X0] :
( ~ sQ300_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f2689]) ).
fof(f2692,plain,
( ~ sQ46_spl
| ~ sQ6_spl
| sQ174_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f2687,f2689,f1054,f112,f245]) ).
fof(f2694,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ6_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f896,f246]) ).
fof(f2696,plain,
( ~ sQ46_spl
| ~ sQ6_spl
| sQ127_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f2694,f2689,f537,f112,f245]) ).
fof(f2707,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1850,f65]) ).
fof(f2708,plain,
( ~ sQ50_spl
| sQ171_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f2707,f1858,f1018,f263]) ).
fof(f2709,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1851,f65]) ).
fof(f2710,plain,
( ~ sQ50_spl
| sQ130_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f2709,f1858,f559,f263]) ).
fof(f2711,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1553,f65]) ).
fof(f2712,plain,
( ~ sQ69_spl
| sQ132_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f2711,f2655,f577,f323]) ).
fof(f2713,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1554,f65]) ).
fof(f2714,plain,
( ~ sQ69_spl
| sQ129_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f2713,f2655,f555,f323]) ).
fof(f2715,plain,
( ~ sQ73_spl
| ~ sQ297_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f337,f2654]) ).
fof(f2716,plain,
( ~ sQ73_spl
| ~ sQ297_spl ),
inference(contradiction_clause,[status(thm)],[f2715]) ).
fof(f2717,plain,
( ~ sQ46_spl
| ~ sQ243_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f1989,f246]) ).
fof(f2727,plain,
( ~ sQ27_spl
| ~ sQ42_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f233,f1274]) ).
fof(f2729,plain,
( ~ sQ298_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f233,f2656]) ).
fof(f2730,plain,
( ~ sQ292_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f233,f2593]) ).
fof(f2731,plain,
( ~ sQ288_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f233,f2547]) ).
fof(f2732,plain,
( ~ sQ284_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f233,f2501]) ).
fof(f2734,plain,
( ~ sQ215_spl
| ~ sQ42_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f233,f1603]) ).
fof(f2735,plain,
( ~ sQ213_spl
| ~ sQ42_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f233,f1579]) ).
fof(f2736,plain,
( ~ sQ214_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1585]) ).
fof(f2739,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f233,f1050]) ).
fof(f2740,plain,
! [X0] :
( ~ sQ42_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f233,f1049]) ).
fof(f2748,plain,
( ~ sQ27_spl
| ~ sQ42_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f2727,f621,f232,f184]) ).
fof(f2751,definition,
! [X0] :
( sQ301_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f2752,plain,
! [X0] :
( ~ sQ301_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f2751]) ).
fof(f2754,plain,
( ~ sQ42_spl
| sQ161_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f2739,f2751,f873,f232]) ).
fof(f2755,plain,
( ~ sQ42_spl
| sQ146_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f2740,f2751,f714,f232]) ).
fof(f2758,plain,
! [X0] :
( ~ sQ301_spl
| ~ product(X0,e_2,e_4) ),
inference(duplicate_literals_removal,[status(thm)],[f2752]) ).
fof(f2760,plain,
( ~ sQ42_spl
| ~ sQ278_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f2409,f233]) ).
fof(f2761,plain,
( ~ sQ46_spl
| ~ sQ246_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f2032,f246]) ).
fof(f2767,plain,
( ~ sQ181_spl
| ~ sQ88_spl
| ~ product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f390,f1128]) ).
fof(f2768,plain,
( ~ sQ197_spl
| ~ sQ88_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f390,f1354]) ).
fof(f2769,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ88_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f390,f1441]) ).
fof(f2770,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ88_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f390,f1440]) ).
fof(f2771,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f390,f64]) ).
fof(f2772,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f390,f62]) ).
fof(f2773,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f390,f60]) ).
fof(f2774,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f390,f71]) ).
fof(f2775,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f390,f70]) ).
fof(f2776,plain,
! [X0,X1,X2] :
( ~ sQ88_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f390,f69]) ).
fof(f2777,plain,
! [X0,X1,X2] :
( ~ sQ88_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f390,f67]) ).
fof(f2778,definition,
! [X0] :
( sQ302_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f2779,plain,
! [X0] :
( ~ sQ302_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f2778]) ).
fof(f2781,plain,
( ~ sQ73_spl
| ~ sQ88_spl
| sQ144_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f2769,f2778,f685,f389,f336]) ).
fof(f2782,plain,
( ~ sQ73_spl
| ~ sQ88_spl
| sQ134_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f2770,f2778,f600,f389,f336]) ).
fof(f2783,definition,
! [X0] :
( sQ303_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f2784,plain,
! [X0] :
( ~ sQ303_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2783]) ).
fof(f2786,plain,
( ~ sQ88_spl
| sQ141_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f2774,f2783,f659,f389]) ).
fof(f2787,plain,
( ~ sQ88_spl
| sQ152_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f2775,f2783,f773,f389]) ).
fof(f2788,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2776,f390]) ).
fof(f2789,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2776,f65]) ).
fof(f2790,definition,
! [X0] :
( sQ304_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f2791,plain,
! [X0] :
( ~ sQ304_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f2790]) ).
fof(f2793,plain,
( ~ sQ88_spl
| sQ154_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f2788,f2790,f792,f389]) ).
fof(f2794,plain,
( ~ sQ88_spl
| sQ176_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f2789,f2783,f1062,f389]) ).
fof(f2795,plain,
! [X0] :
( ~ sQ304_spl
| ~ product(X0,e_3,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f2791]) ).
fof(f2799,plain,
( ~ sQ191_spl
| ~ sQ3_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f103,f1255]) ).
fof(f2800,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ3_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f103,f1441]) ).
fof(f2801,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ3_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f103,f1440]) ).
fof(f2802,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_5,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f103,f64]) ).
fof(f2803,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_5,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f103,f62]) ).
fof(f2804,plain,
( ~ sQ3_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f103,f77]) ).
fof(f2805,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_4,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f103,f60]) ).
fof(f2806,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f103,f71]) ).
fof(f2808,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f103,f69]) ).
fof(f2809,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f103,f67]) ).
fof(f2810,plain,
( ~ sQ191_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2799,f65]) ).
fof(f2811,plain,
( ~ sQ191_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f2810]) ).
fof(f2812,definition,
! [X0] :
( sQ305_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f2813,plain,
! [X0] :
( ~ sQ305_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f2812]) ).
fof(f2815,plain,
( ~ sQ73_spl
| ~ sQ3_spl
| sQ129_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f2800,f2812,f555,f102,f336]) ).
fof(f2816,plain,
( ~ sQ73_spl
| ~ sQ3_spl
| sQ148_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f2801,f2812,f729,f102,f336]) ).
fof(f2817,plain,
( ~ sQ3_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f2804,f1054,f102]) ).
fof(f2818,definition,
! [X0] :
( sQ306_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f2819,plain,
! [X0] :
( ~ sQ306_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2818]) ).
fof(f2821,plain,
( ~ sQ3_spl
| sQ126_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f2806,f2818,f533,f102]) ).
fof(f2823,plain,
( ~ sQ306_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f2819,f65]) ).
fof(f2824,plain,
( ~ sQ22_spl
| ~ sQ2_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f100,f546]) ).
fof(f2825,plain,
( ~ sQ231_spl
| ~ sQ2_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f100,f1775]) ).
fof(f2826,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ2_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f100,f551]) ).
fof(f2827,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ2_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f100,f550]) ).
fof(f2828,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_5,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f100,f64]) ).
fof(f2829,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f100,f62]) ).
fof(f2830,plain,
( ~ sQ2_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f100,f77]) ).
fof(f2831,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_3,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f100,f60]) ).
fof(f2832,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f100,f71]) ).
fof(f2834,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f100,f69]) ).
fof(f2835,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f100,f67]) ).
fof(f2836,plain,
( ~ sQ22_spl
| ~ sQ2_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f2824,f729,f99,f163]) ).
fof(f2837,plain,
( ~ sQ231_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2825,f65]) ).
fof(f2838,plain,
( ~ sQ231_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2837]) ).
fof(f2839,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f97,f892]) ).
fof(f2840,plain,
( ~ sQ11_spl
| ~ sQ1_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f97,f801]) ).
fof(f2841,plain,
( ~ sQ275_spl
| ~ sQ1_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f97,f2349]) ).
fof(f2842,plain,
( ~ sQ271_spl
| ~ sQ1_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f97,f2315]) ).
fof(f2843,plain,
( ~ sQ270_spl
| ~ sQ1_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f97,f2292]) ).
fof(f2844,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ1_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f97,f986]) ).
fof(f2845,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ1_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f97,f987]) ).
fof(f2846,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ1_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f97,f896]) ).
fof(f2847,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ1_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f97,f897]) ).
fof(f2848,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ1_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f97,f805]) ).
fof(f2849,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ1_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f97,f806]) ).
fof(f2850,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_5,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f97,f64]) ).
fof(f2851,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_5,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f97,f62]) ).
fof(f2852,plain,
( ~ sQ1_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f97,f77]) ).
fof(f2853,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_2,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f97,f60]) ).
fof(f2854,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f97,f71]) ).
fof(f2856,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f97,f69]) ).
fof(f2857,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f97,f67]) ).
fof(f2858,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f2839,f533,f96,f112]) ).
fof(f2859,plain,
( ~ sQ11_spl
| ~ sQ1_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f2840,f555,f96,f128]) ).
fof(f2860,plain,
( ~ sQ270_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2843,f65]) ).
fof(f2861,plain,
( ~ sQ270_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f2860]) ).
fof(f2862,plain,
( ~ sQ15_spl
| ~ sQ0_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f94,f720]) ).
fof(f2863,plain,
( ~ sQ25_spl
| ~ sQ0_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f94,f1368]) ).
fof(f2864,plain,
( ~ sQ294_spl
| ~ sQ0_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f94,f2603]) ).
fof(f2865,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ0_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f94,f1373]) ).
fof(f2866,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ0_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f94,f1374]) ).
fof(f2867,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ0_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f94,f724]) ).
fof(f2868,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ0_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f94,f725]) ).
fof(f2869,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_5,X0)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f94,f64]) ).
fof(f2870,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f94,f62]) ).
fof(f2871,plain,
( ~ sQ0_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f94,f77]) ).
fof(f2872,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_1,X0)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f94,f60]) ).
fof(f2873,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f94,f71]) ).
fof(f2875,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f94,f69]) ).
fof(f2876,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| equalish(e_5,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_5)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f94,f67]) ).
fof(f2877,plain,
( ~ sQ15_spl
| ~ sQ0_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f2862,f577,f93,f141]) ).
fof(f2878,plain,
( ~ sQ25_spl
| ~ sQ0_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f2863,f533,f93,f178]) ).
fof(f2879,plain,
( ~ sQ25_spl
| ~ sQ0_spl
| sQ139_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f2865,f1254,f643,f93,f178]) ).
fof(f2880,plain,
( ~ sQ25_spl
| ~ sQ0_spl
| sQ126_spl
| sQ191_spl ),
inference(split_clause,[status(thm)],[f2866,f1254,f533,f93,f178]) ).
fof(f2881,plain,
( ~ sQ15_spl
| ~ sQ0_spl
| sQ132_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f2867,f640,f577,f93,f141]) ).
fof(f2882,plain,
( ~ sQ15_spl
| ~ sQ0_spl
| sQ139_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f2868,f640,f643,f93,f141]) ).
fof(f2883,plain,
( ~ sQ0_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f2871,f1018,f93]) ).
fof(f2884,plain,
( ~ sQ0_spl
| sQ148_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f2873,f2376,f729,f93]) ).
fof(f2886,definition,
! [X0] :
( sQ307_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f2887,plain,
! [X0] :
( ~ sQ307_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f2886]) ).
fof(f2889,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| sQ148_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f2844,f2886,f729,f96,f245]) ).
fof(f2890,plain,
( ~ sQ46_spl
| ~ sQ1_spl
| sQ126_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f2845,f2886,f533,f96,f245]) ).
fof(f2891,plain,
( ~ sQ1_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f2852,f621,f96]) ).
fof(f2892,definition,
! [X0] :
( sQ308_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f2893,plain,
! [X0] :
( ~ sQ308_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f2892]) ).
fof(f2895,plain,
( ~ sQ1_spl
| sQ132_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f2854,f2892,f577,f96]) ).
fof(f2897,plain,
( ~ sQ27_spl
| ~ sQ241_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f185,f2625]) ).
fof(f2898,plain,
( ~ sQ27_spl
| ~ sQ241_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2897]) ).
fof(f2899,plain,
( ~ sQ205_spl
| ~ sQ97_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1946,f386,f418,f1473]) ).
fof(f2900,plain,
( ~ sQ36_spl
| ~ sQ304_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f214,f2795]) ).
fof(f2901,plain,
( ~ sQ36_spl
| ~ sQ304_spl ),
inference(contradiction_clause,[status(thm)],[f2900]) ).
fof(f2902,plain,
( ~ sQ131_spl
| ~ sQ74_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f1420,f314,f339,f574]) ).
fof(f2903,plain,
( ~ sQ2_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f2830,f614,f99]) ).
fof(f2904,definition,
! [X0] :
( sQ309_spl
<=> ( ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f2905,plain,
! [X0] :
( ~ sQ309_spl
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f2904]) ).
fof(f2907,plain,
( ~ sQ2_spl
| sQ129_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f2832,f2904,f555,f99]) ).
fof(f2909,plain,
( ~ sQ47_spl
| sQ176_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f975,f1640,f1062,f248]) ).
fof(f2910,plain,
( ~ sQ47_spl
| sQ130_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f976,f1640,f559,f248]) ).
fof(f2911,plain,
( ~ sQ74_spl
| sQ136_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f1426,f2812,f614,f339]) ).
fof(f2912,plain,
( ~ sQ74_spl
| sQ171_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f1427,f2812,f1018,f339]) ).
fof(f2913,definition,
! [X0] :
( sQ310_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f2914,plain,
! [X0] :
( ~ sQ310_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f2913]) ).
fof(f2916,plain,
( ~ sQ98_spl
| sQ141_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f1932,f2913,f659,f421]) ).
fof(f2917,plain,
( ~ sQ98_spl
| sQ127_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f1933,f2913,f537,f421]) ).
fof(f2918,plain,
( ~ sQ218_spl
| ~ sQ98_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1922,f386,f421,f1640]) ).
fof(f2919,plain,
( ~ sQ118_spl
| ~ sQ301_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f491,f2758]) ).
fof(f2920,plain,
( ~ sQ118_spl
| ~ sQ301_spl ),
inference(contradiction_clause,[status(thm)],[f2919]) ).
fof(f2921,plain,
( ~ sQ308_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f2893,f65]) ).
fof(f2927,plain,
( ~ sQ309_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f2905,f65]) ).
fof(f2946,plain,
( ~ sQ156_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f814,f65]) ).
fof(f2947,plain,
( ~ sQ219_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f1647,f65]) ).
fof(f2972,plain,
( ~ sQ83_spl
| ~ sQ125_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f1869]) ).
fof(f2973,plain,
( ~ sQ83_spl
| ~ sQ125_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f2972]) ).
fof(f2974,plain,
( ~ sQ249_spl
| ~ sQ46_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f2619,f254,f245,f2048]) ).
fof(f2975,plain,
( ~ sQ49_spl
| sQ174_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f949,f2886,f1054,f254]) ).
fof(f2976,plain,
( ~ sQ49_spl
| sQ171_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f950,f2886,f1018,f254]) ).
fof(f2977,plain,
( ~ sQ89_spl
| ~ sQ155_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f393,f1864]) ).
fof(f2978,plain,
( ~ sQ89_spl
| ~ sQ155_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f2977]) ).
fof(f2982,plain,
( ~ sQ310_spl
| ~ sQ46_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f246,f2914]) ).
fof(f2983,plain,
( ~ sQ243_spl
| ~ sQ46_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f246,f1989]) ).
fof(f2984,plain,
( ~ sQ252_spl
| ~ sQ46_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f246,f2064]) ).
fof(f2985,plain,
( ~ sQ249_spl
| ~ sQ46_spl
| ~ product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f246,f2049]) ).
fof(f2987,plain,
( ~ sQ245_spl
| ~ sQ46_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f246,f2027]) ).
fof(f3001,plain,
( ~ sQ310_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2982,f65]) ).
fof(f3002,plain,
( ~ sQ310_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f3001]) ).
fof(f3012,plain,
( ~ sQ209_spl
| ~ sQ22_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f164,f1509]) ).
fof(f3013,plain,
( ~ sQ305_spl
| ~ sQ22_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f164,f2813]) ).
fof(f3014,plain,
( ~ sQ208_spl
| ~ sQ22_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f164,f1504]) ).
fof(f3015,plain,
( ~ sQ210_spl
| ~ sQ22_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f164,f1530]) ).
fof(f3016,plain,
( ~ sQ206_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f164,f1494]) ).
fof(f3017,plain,
( ~ sQ203_spl
| ~ sQ22_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f164,f1463]) ).
fof(f3018,plain,
( ~ sQ205_spl
| ~ sQ22_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f164,f1474]) ).
fof(f3019,plain,
( ~ sQ202_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1443]) ).
fof(f3020,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f164,f551]) ).
fof(f3021,plain,
! [X0] :
( ~ sQ22_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f164,f550]) ).
fof(f3029,plain,
( ~ sQ305_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3013,f65]) ).
fof(f3030,plain,
( ~ sQ305_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f3029]) ).
fof(f3031,definition,
! [X0] :
( sQ311_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f3032,plain,
! [X0] :
( ~ sQ311_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f3031]) ).
fof(f3034,plain,
( ~ sQ22_spl
| sQ139_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3020,f3031,f643,f163]) ).
fof(f3035,plain,
( ~ sQ22_spl
| sQ170_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f3021,f3031,f1006,f163]) ).
fof(f3038,plain,
! [X0] :
( ~ sQ311_spl
| ~ product(X0,e_1,e_5) ),
inference(duplicate_literals_removal,[status(thm)],[f3032]) ).
fof(f3042,plain,
( ~ sQ266_spl
| ~ sQ6_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f113,f2261]) ).
fof(f3043,plain,
( ~ sQ263_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f113,f2232]) ).
fof(f3044,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f113,f896]) ).
fof(f3045,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f113,f897]) ).
fof(f3046,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ6_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f113,f986]) ).
fof(f3047,plain,
! [X0] :
( ~ sQ46_spl
| ~ sQ6_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f113,f987]) ).
fof(f3055,plain,
( ~ sQ6_spl
| sQ161_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f3044,f923,f873,f112]) ).
fof(f3056,plain,
( ~ sQ6_spl
| sQ139_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f3045,f923,f643,f112]) ).
fof(f3057,plain,
( ~ sQ46_spl
| ~ sQ6_spl
| sQ163_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f3046,f2689,f914,f112,f245]) ).
fof(f3058,plain,
( ~ sQ46_spl
| ~ sQ6_spl
| sQ126_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f3047,f2689,f533,f112,f245]) ).
fof(f3074,plain,
( ~ sQ22_spl
| ~ sQ302_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f2779,f164]) ).
fof(f3079,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f653,f65]) ).
fof(f3080,plain,
( ~ sQ18_spl
| sQ166_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f3079,f655,f933,f150]) ).
fof(f3081,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f654,f65]) ).
fof(f3082,plain,
( ~ sQ18_spl
| sQ174_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f3081,f655,f1054,f150]) ).
fof(f3085,plain,
( ~ sQ256_spl
| ~ sQ73_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f337,f2141]) ).
fof(f3088,plain,
( ~ sQ307_spl
| ~ sQ73_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f337,f2887]) ).
fof(f3090,plain,
( ~ sQ184_spl
| ~ sQ73_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f337,f1167]) ).
fof(f3091,plain,
( ~ sQ218_spl
| ~ sQ73_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f337,f1641]) ).
fof(f3092,plain,
( ~ sQ227_spl
| ~ sQ73_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f337,f1737]) ).
fof(f3093,plain,
( ~ sQ237_spl
| ~ sQ73_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f337,f1833]) ).
fof(f3094,plain,
( ~ sQ264_spl
| ~ sQ73_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f337,f2237]) ).
fof(f3095,plain,
( ~ sQ272_spl
| ~ sQ73_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f337,f2320]) ).
fof(f3096,plain,
( ~ sQ300_spl
| ~ sQ73_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f337,f2690]) ).
fof(f3097,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ73_spl
| equalish(e_5,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f337,f654]) ).
fof(f3098,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ73_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f337,f653]) ).
fof(f3099,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f337,f1441]) ).
fof(f3100,plain,
! [X0] :
( ~ sQ73_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f337,f1440]) ).
fof(f3108,plain,
( ~ sQ218_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3091,f65]) ).
fof(f3109,plain,
( ~ sQ218_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f3108]) ).
fof(f3110,plain,
( ~ sQ300_spl
| ~ sQ73_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3096,f291,f336,f2689]) ).
fof(f3111,plain,
( ~ sQ18_spl
| ~ sQ73_spl
| sQ136_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f3097,f1529,f614,f336,f150]) ).
fof(f3112,plain,
( ~ sQ18_spl
| ~ sQ73_spl
| sQ133_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f3098,f1529,f581,f336,f150]) ).
fof(f3113,definition,
! [X0] :
( sQ312_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f3114,plain,
! [X0] :
( ~ sQ312_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f3113]) ).
fof(f3116,plain,
( ~ sQ73_spl
| sQ154_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f3099,f3113,f792,f336]) ).
fof(f3117,plain,
( ~ sQ73_spl
| sQ170_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f3100,f3113,f1006,f336]) ).
fof(f3120,plain,
! [X0] :
( ~ sQ312_spl
| ~ product(X0,e_1,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f3114]) ).
fof(f3121,plain,
( ~ sQ272_spl
| ~ sQ73_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f3095,f266,f336,f2319]) ).
fof(f3122,plain,
( ~ sQ22_spl
| ~ sQ312_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f164,f3120]) ).
fof(f3123,plain,
( ~ sQ22_spl
| ~ sQ312_spl ),
inference(contradiction_clause,[status(thm)],[f3122]) ).
fof(f3124,plain,
( ~ sQ11_spl
| ~ sQ22_spl
| ~ sQ302_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f129,f3074]) ).
fof(f3125,plain,
( ~ sQ11_spl
| ~ sQ22_spl
| ~ sQ302_spl ),
inference(contradiction_clause,[status(thm)],[f3124]) ).
fof(f3126,plain,
( ~ sQ197_spl
| ~ sQ88_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f2768,f376,f389,f1353]) ).
fof(f3127,plain,
( ~ sQ49_spl
| ~ sQ311_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f255,f3038]) ).
fof(f3128,plain,
( ~ sQ49_spl
| ~ sQ311_spl ),
inference(contradiction_clause,[status(thm)],[f3127]) ).
fof(f3135,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2340,f65]) ).
fof(f3136,plain,
( ~ sQ75_spl
| sQ171_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f3135,f2353,f1018,f348]) ).
fof(f3137,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2341,f65]) ).
fof(f3138,plain,
( ~ sQ75_spl
| sQ133_spl
| sQ276_spl ),
inference(split_clause,[status(thm)],[f3137,f2353,f581,f348]) ).
fof(f3147,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1490,f65]) ).
fof(f3148,plain,
( ~ sQ71_spl
| sQ135_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f3147,f1508,f607,f330]) ).
fof(f3149,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1491,f65]) ).
fof(f3150,plain,
( ~ sQ71_spl
| sQ144_spl
| sQ209_spl ),
inference(split_clause,[status(thm)],[f3149,f1508,f685,f330]) ).
fof(f3159,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1293,f65]) ).
fof(f3160,plain,
( ~ sQ26_spl
| sQ137_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f3159,f1301,f621,f181]) ).
fof(f3163,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ99_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f425,f1675]) ).
fof(f3164,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ99_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f425,f1674]) ).
fof(f3165,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f425,f1876]) ).
fof(f3166,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f425,f1875]) ).
fof(f3167,plain,
! [X0] :
( ~ sQ99_spl
| equalish(e_2,X0)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f425,f64]) ).
fof(f3174,definition,
! [X0] :
( sQ313_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f3175,plain,
! [X0] :
( ~ sQ313_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f3174]) ).
fof(f3177,plain,
( ~ sQ59_spl
| ~ sQ99_spl
| sQ144_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f3163,f3174,f685,f424,f291]) ).
fof(f3178,plain,
( ~ sQ59_spl
| ~ sQ99_spl
| sQ127_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f3164,f3174,f537,f424,f291]) ).
fof(f3179,definition,
! [X0] :
( sQ314_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f3180,plain,
! [X0] :
( ~ sQ314_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f3179]) ).
fof(f3182,plain,
( ~ sQ99_spl
| sQ146_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f3165,f3179,f714,f424]) ).
fof(f3183,plain,
( ~ sQ99_spl
| sQ170_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f3166,f3179,f1006,f424]) ).
fof(f3186,plain,
! [X0] :
( ~ sQ314_spl
| ~ product(X0,e_1,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f3180]) ).
fof(f3187,plain,
( ~ sQ279_spl
| ~ sQ82_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f371,f2424]) ).
fof(f3188,plain,
( ~ sQ269_spl
| ~ sQ82_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f371,f2286]) ).
fof(f3189,plain,
( ~ sQ225_spl
| ~ sQ82_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f371,f1727]) ).
fof(f3190,plain,
( ~ sQ221_spl
| ~ sQ82_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f371,f1677]) ).
fof(f3191,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f371,f64]) ).
fof(f3192,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f371,f62]) ).
fof(f3193,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f371,f60]) ).
fof(f3194,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f371,f71]) ).
fof(f3195,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f371,f70]) ).
fof(f3196,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f371,f69]) ).
fof(f3197,plain,
! [X0,X1,X2] :
( ~ sQ82_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f371,f67]) ).
fof(f3198,plain,
( ~ sQ225_spl
| ~ sQ82_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f3189,f376,f370,f1726]) ).
fof(f3199,definition,
! [X0] :
( sQ315_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f3200,plain,
! [X0] :
( ~ sQ315_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f3199]) ).
fof(f3202,plain,
( ~ sQ82_spl
| sQ144_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f3194,f3199,f685,f370]) ).
fof(f3203,plain,
( ~ sQ82_spl
| sQ176_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f3195,f3199,f1062,f370]) ).
fof(f3204,plain,
( ~ sQ99_spl
| ~ sQ155_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f809,f425]) ).
fof(f3206,plain,
! [X0] :
( ~ sQ26_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1294,f65]) ).
fof(f3207,plain,
( ~ sQ26_spl
| sQ141_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f3206,f1301,f659,f181]) ).
fof(f3210,plain,
( ~ sQ99_spl
| ~ sQ232_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f1794,f425]) ).
fof(f3211,plain,
( ~ sQ99_spl
| ~ sQ232_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f3210,f354,f1793,f424]) ).
fof(f3212,plain,
( ~ sQ99_spl
| ~ sQ222_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1696,f425]) ).
fof(f3213,plain,
( ~ sQ99_spl
| ~ sQ182_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1143,f425]) ).
fof(f3218,plain,
( ~ sQ315_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f3200,f65]) ).
fof(f3229,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1754,f65]) ).
fof(f3230,plain,
( ~ sQ55_spl
| sQ130_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f3229,f1760,f559,f279]) ).
fof(f3233,plain,
( ~ sQ99_spl
| ~ sQ49_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f946,f425]) ).
fof(f3234,plain,
( ~ sQ99_spl
| ~ sQ49_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f3233,f659,f254,f424]) ).
fof(f3235,plain,
( ~ sQ98_spl
| ~ sQ297_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f422,f2654]) ).
fof(f3236,plain,
( ~ sQ98_spl
| ~ sQ297_spl ),
inference(contradiction_clause,[status(thm)],[f3235]) ).
fof(f3241,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f952,f65]) ).
fof(f3242,plain,
( ~ sQ49_spl
| sQ126_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f3241,f2886,f533,f254]) ).
fof(f3243,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f951,f65]) ).
fof(f3244,plain,
( ~ sQ49_spl
| sQ148_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f3243,f2886,f729,f254]) ).
fof(f3246,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f211,f1099]) ).
fof(f3248,plain,
( ~ sQ85_spl
| ~ sQ35_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f211,f2158]) ).
fof(f3249,plain,
( ~ sQ286_spl
| ~ sQ35_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f211,f2511]) ).
fof(f3251,plain,
( ~ sQ285_spl
| ~ sQ35_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f211,f2506]) ).
fof(f3252,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ35_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f211,f2163]) ).
fof(f3253,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ35_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f211,f2164]) ).
fof(f3254,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ35_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f211,f1851]) ).
fof(f3255,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ35_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f211,f1850]) ).
fof(f3258,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ35_spl
| equalish(e_2,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f211,f2341]) ).
fof(f3259,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ35_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f211,f2340]) ).
fof(f3269,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f3246,f817,f210,f226]) ).
fof(f3270,plain,
( ~ sQ85_spl
| ~ sQ35_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f3248,f933,f210,f380]) ).
fof(f3271,definition,
! [X0] :
( sQ316_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f3272,plain,
! [X0] :
( ~ sQ316_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f3271]) ).
fof(f3274,plain,
( ~ sQ85_spl
| ~ sQ35_spl
| sQ154_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f3252,f3271,f792,f210,f380]) ).
fof(f3275,plain,
( ~ sQ85_spl
| ~ sQ35_spl
| sQ166_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f3253,f3271,f933,f210,f380]) ).
fof(f3276,definition,
! [X0] :
( sQ317_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f3277,plain,
! [X0] :
( ~ sQ317_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f3276]) ).
fof(f3279,plain,
( ~ sQ50_spl
| ~ sQ35_spl
| sQ176_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f3254,f3276,f1062,f210,f263]) ).
fof(f3280,plain,
( ~ sQ50_spl
| ~ sQ35_spl
| sQ136_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f3255,f3276,f614,f210,f263]) ).
fof(f3283,definition,
! [X0] :
( sQ318_spl
<=> ( ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f3284,plain,
! [X0] :
( ~ sQ318_spl
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f3283]) ).
fof(f3286,plain,
( ~ sQ75_spl
| ~ sQ35_spl
| sQ166_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f3258,f3283,f933,f210,f348]) ).
fof(f3287,plain,
( ~ sQ75_spl
| ~ sQ35_spl
| sQ136_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f3259,f3283,f614,f210,f348]) ).
fof(f3292,plain,
( ~ sQ284_spl
| ~ sQ42_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f2732,f210,f232,f2500]) ).
fof(f3293,plain,
( ~ sQ184_spl
| ~ sQ98_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f1923,f389,f421,f1166]) ).
fof(f3294,plain,
( ~ sQ227_spl
| ~ sQ98_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f1921,f370,f421,f1736]) ).
fof(f3308,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1162,f65]) ).
fof(f3309,plain,
( ~ sQ36_spl
| sQ144_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f3308,f1171,f685,f213]) ).
fof(f3310,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1163,f65]) ).
fof(f3311,plain,
( ~ sQ36_spl
| sQ141_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f3310,f1171,f659,f213]) ).
fof(f3312,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2257,f65]) ).
fof(f3313,plain,
( ~ sQ80_spl
| sQ127_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f3312,f2270,f537,f364]) ).
fof(f3314,plain,
( ~ sQ18_spl
| ~ sQ301_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f151,f2758]) ).
fof(f3315,plain,
( ~ sQ18_spl
| ~ sQ301_spl ),
inference(contradiction_clause,[status(thm)],[f3314]) ).
fof(f3316,plain,
( ~ sQ315_spl
| ~ sQ112_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f472,f3200]) ).
fof(f3317,plain,
( ~ sQ309_spl
| ~ sQ112_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f472,f2905]) ).
fof(f3318,plain,
( ~ sQ234_spl
| ~ sQ112_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f472,f1805]) ).
fof(f3319,plain,
( ~ sQ224_spl
| ~ sQ112_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f472,f1707]) ).
fof(f3320,plain,
( ~ sQ183_spl
| ~ sQ112_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f472,f1149]) ).
fof(f3321,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ112_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f472,f550]) ).
fof(f3322,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ112_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f472,f551]) ).
fof(f3323,plain,
( ~ sQ112_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f472,f81]) ).
fof(f3324,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f472,f64]) ).
fof(f3325,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f472,f62]) ).
fof(f3326,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f472,f60]) ).
fof(f3327,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f472,f71]) ).
fof(f3328,plain,
! [X0] :
( ~ sQ112_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f472,f70]) ).
fof(f3329,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f472,f69]) ).
fof(f3330,plain,
! [X0,X1,X2] :
( ~ sQ112_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f472,f67]) ).
fof(f3331,plain,
( ~ sQ224_spl
| ~ sQ112_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f3319,f455,f471,f1706]) ).
fof(f3332,plain,
( ~ sQ183_spl
| ~ sQ112_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f3320,f474,f471,f1148]) ).
fof(f3333,definition,
! [X0] :
( sQ319_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f3334,plain,
! [X0] :
( ~ sQ319_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f3333]) ).
fof(f3336,plain,
( ~ sQ22_spl
| ~ sQ112_spl
| sQ134_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f3321,f3333,f600,f471,f163]) ).
fof(f3337,plain,
( ~ sQ22_spl
| ~ sQ112_spl
| sQ171_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f3322,f3333,f1018,f471,f163]) ).
fof(f3338,plain,
( ~ sQ112_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f3323,f559,f471]) ).
fof(f3339,definition,
! [X0] :
( sQ320_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f3340,plain,
! [X0] :
( ~ sQ320_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f3339]) ).
fof(f3342,plain,
( ~ sQ112_spl
| sQ130_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f3327,f3339,f559,f471]) ).
fof(f3343,plain,
( ~ sQ112_spl
| sQ154_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f3328,f3339,f792,f471]) ).
fof(f3344,plain,
( ~ sQ201_spl
| ~ sQ119_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f494,f1402]) ).
fof(f3345,plain,
( ~ sQ260_spl
| ~ sQ119_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f494,f2176]) ).
fof(f3346,plain,
( ~ sQ239_spl
| ~ sQ119_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f494,f1854]) ).
fof(f3347,plain,
( ~ sQ229_spl
| ~ sQ119_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f494,f1756]) ).
fof(f3348,plain,
( ~ sQ186_spl
| ~ sQ119_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f494,f1186]) ).
fof(f3349,plain,
( ~ sQ138_spl
| ~ sQ119_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f494,f641]) ).
fof(f3350,plain,
( ~ sQ140_spl
| ~ sQ119_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f494,f656]) ).
fof(f3351,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ119_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f494,f951]) ).
fof(f3352,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ119_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f494,f952]) ).
fof(f3353,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ119_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f494,f1675]) ).
fof(f3354,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ119_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f494,f1674]) ).
fof(f3355,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f494,f64]) ).
fof(f3356,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f494,f62]) ).
fof(f3357,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f494,f60]) ).
fof(f3358,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f494,f71]) ).
fof(f3359,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f494,f70]) ).
fof(f3360,plain,
! [X0,X1,X2] :
( ~ sQ119_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f494,f69]) ).
fof(f3361,plain,
! [X0,X1,X2] :
( ~ sQ119_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f494,f67]) ).
fof(f3362,plain,
( ~ sQ201_spl
| ~ sQ119_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f3344,f442,f493,f1401]) ).
fof(f3363,plain,
( ~ sQ186_spl
| ~ sQ119_spl
| ~ sQ113_spl ),
inference(split_clause,[status(thm)],[f3348,f474,f493,f1185]) ).
fof(f3364,definition,
! [X0] :
( sQ321_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f3365,plain,
! [X0] :
( ~ sQ321_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_4) ),
inference(component_clause,[status(thm)],[f3364]) ).
fof(f3367,plain,
( ~ sQ49_spl
| ~ sQ119_spl
| sQ135_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f3351,f3364,f607,f493,f254]) ).
fof(f3368,plain,
( ~ sQ49_spl
| ~ sQ119_spl
| sQ127_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f3352,f3364,f537,f493,f254]) ).
fof(f3369,definition,
! [X0] :
( sQ322_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f3370,plain,
! [X0] :
( ~ sQ322_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f3369]) ).
fof(f3372,plain,
( ~ sQ59_spl
| ~ sQ119_spl
| sQ130_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f3353,f3369,f559,f493,f291]) ).
fof(f3373,plain,
( ~ sQ59_spl
| ~ sQ119_spl
| sQ141_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f3354,f3369,f659,f493,f291]) ).
fof(f3374,definition,
! [X0] :
( sQ323_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f3375,plain,
! [X0] :
( ~ sQ323_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f3374]) ).
fof(f3377,plain,
( ~ sQ119_spl
| sQ171_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f3358,f3374,f1018,f493]) ).
fof(f3378,plain,
( ~ sQ119_spl
| sQ137_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f3359,f3374,f621,f493]) ).
fof(f3379,plain,
( ~ sQ191_spl
| ~ sQ103_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f443,f1255]) ).
fof(f3380,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ103_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f443,f654]) ).
fof(f3381,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ103_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f443,f653]) ).
fof(f3382,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f443,f64]) ).
fof(f3383,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f443,f62]) ).
fof(f3384,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f443,f60]) ).
fof(f3385,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f443,f71]) ).
fof(f3386,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f443,f70]) ).
fof(f3387,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f443,f69]) ).
fof(f3388,plain,
! [X0,X1,X2] :
( ~ sQ103_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f443,f67]) ).
fof(f3389,definition,
! [X0] :
( sQ324_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f3390,plain,
! [X0] :
( ~ sQ324_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f3389]) ).
fof(f3392,plain,
( ~ sQ18_spl
| ~ sQ103_spl
| sQ171_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f3380,f3389,f1018,f442,f150]) ).
fof(f3393,plain,
( ~ sQ18_spl
| ~ sQ103_spl
| sQ132_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f3381,f3389,f577,f442,f150]) ).
fof(f3394,definition,
! [X0] :
( sQ325_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f3395,plain,
! [X0] :
( ~ sQ325_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f3394]) ).
fof(f3397,plain,
( ~ sQ103_spl
| sQ127_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f3385,f3394,f537,f442]) ).
fof(f3398,plain,
( ~ sQ103_spl
| sQ126_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f3386,f3394,f533,f442]) ).
fof(f3400,plain,
( ~ sQ85_spl
| ~ sQ75_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f349,f2159]) ).
fof(f3402,plain,
( ~ sQ294_spl
| ~ sQ75_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f349,f2603]) ).
fof(f3404,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ75_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f349,f2257]) ).
fof(f3405,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ75_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f349,f1851]) ).
fof(f3406,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ75_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f349,f1850]) ).
fof(f3407,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ75_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f349,f2163]) ).
fof(f3408,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ75_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f349,f2164]) ).
fof(f3409,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f349,f2341]) ).
fof(f3410,plain,
! [X0] :
( ~ sQ75_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f349,f2340]) ).
fof(f3418,plain,
( ~ sQ85_spl
| ~ sQ75_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f3400,f555,f348,f380]) ).
fof(f3419,definition,
! [X0] :
( sQ326_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f3420,plain,
! [X0] :
( ~ sQ326_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f3419]) ).
fof(f3422,plain,
( ~ sQ80_spl
| ~ sQ75_spl
| sQ126_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f3404,f3419,f533,f348,f364]) ).
fof(f3423,plain,
( ~ sQ50_spl
| ~ sQ75_spl
| sQ144_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f3405,f2314,f685,f348,f263]) ).
fof(f3424,plain,
( ~ sQ50_spl
| ~ sQ75_spl
| sQ139_spl
| sQ271_spl ),
inference(split_clause,[status(thm)],[f3406,f2314,f643,f348,f263]) ).
fof(f3425,definition,
! [X0] :
( sQ327_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f3426,plain,
! [X0] :
( ~ sQ327_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f3425]) ).
fof(f3428,plain,
( ~ sQ85_spl
| ~ sQ75_spl
| sQ129_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f3407,f3425,f555,f348,f380]) ).
fof(f3429,plain,
( ~ sQ85_spl
| ~ sQ75_spl
| sQ146_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f3408,f3425,f714,f348,f380]) ).
fof(f3430,definition,
! [X0] :
( sQ328_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f3431,plain,
! [X0] :
( ~ sQ328_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f3430]) ).
fof(f3433,plain,
( ~ sQ75_spl
| sQ146_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f3409,f3430,f714,f348]) ).
fof(f3434,plain,
( ~ sQ75_spl
| sQ139_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f3410,f3430,f643,f348]) ).
fof(f3437,plain,
! [X0] :
( ~ sQ328_spl
| ~ product(X0,e_5,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f3431]) ).
fof(f3438,plain,
( ~ sQ77_spl
| ~ sQ237_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f355,f1919]) ).
fof(f3439,plain,
( ~ sQ77_spl
| ~ sQ237_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f3438]) ).
fof(f3440,plain,
( ~ sQ71_spl
| ~ sQ314_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f331,f3186]) ).
fof(f3441,plain,
( ~ sQ71_spl
| ~ sQ314_spl ),
inference(contradiction_clause,[status(thm)],[f3440]) ).
fof(f3442,plain,
( ~ sQ26_spl
| ~ sQ328_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f182,f3437]) ).
fof(f3443,plain,
( ~ sQ26_spl
| ~ sQ328_spl ),
inference(contradiction_clause,[status(thm)],[f3442]) ).
fof(f3450,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2258,f65]) ).
fof(f3451,plain,
( ~ sQ80_spl
| sQ133_spl
| sQ268_spl ),
inference(split_clause,[status(thm)],[f3450,f2270,f581,f364]) ).
fof(f3454,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f831,f65]) ).
fof(f3455,plain,
( ~ sQ10_spl
| sQ171_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f3454,f833,f1018,f125]) ).
fof(f3459,plain,
( ~ sQ325_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f3395,f65]) ).
fof(f3464,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1935,f65]) ).
fof(f3465,plain,
( ~ sQ98_spl
| sQ166_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f3464,f2913,f933,f421]) ).
fof(f3466,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1934,f65]) ).
fof(f3467,plain,
( ~ sQ98_spl
| sQ163_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f3466,f2913,f914,f421]) ).
fof(f3470,plain,
( ~ sQ204_spl
| ~ sQ22_spl
| ~ product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f164,f1468]) ).
fof(f3472,plain,
( ~ sQ208_spl
| ~ sQ22_spl
| ~ product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f164,f1504]) ).
fof(f3473,plain,
( ~ sQ203_spl
| ~ sQ22_spl
| ~ product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f164,f1463]) ).
fof(f3474,plain,
( ~ sQ207_spl
| ~ sQ22_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f164,f1499]) ).
fof(f3475,plain,
( ~ sQ202_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f164,f1443]) ).
fof(f3476,plain,
( ~ sQ206_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f164,f1494]) ).
fof(f3477,plain,
( ~ sQ210_spl
| ~ sQ22_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f164,f1530]) ).
fof(f3478,plain,
( ~ sQ209_spl
| ~ sQ22_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f164,f1509]) ).
fof(f3488,plain,
( ~ sQ204_spl
| ~ sQ22_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f3470,f150,f163,f1467]) ).
fof(f3493,plain,
( ~ sQ71_spl
| ~ sQ66_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f315,f1486]) ).
fof(f3494,plain,
( ~ sQ273_spl
| ~ sQ66_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f315,f2326]) ).
fof(f3495,plain,
( ~ sQ185_spl
| ~ sQ66_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f315,f1172]) ).
fof(f3496,plain,
( ~ sQ165_spl
| ~ sQ66_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f315,f930]) ).
fof(f3497,plain,
( ~ sQ195_spl
| ~ sQ66_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f315,f1302]) ).
fof(f3498,plain,
( ~ sQ257_spl
| ~ sQ66_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f315,f2147]) ).
fof(f3499,plain,
( ~ sQ308_spl
| ~ sQ66_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f315,f2893]) ).
fof(f3500,plain,
( ~ sQ265_spl
| ~ sQ66_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f315,f2243]) ).
fof(f3501,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ66_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f315,f1163]) ).
fof(f3502,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ66_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f315,f1162]) ).
fof(f3503,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ66_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f315,f896]) ).
fof(f3504,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ66_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f315,f897]) ).
fof(f3505,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ66_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f315,f1294]) ).
fof(f3506,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ66_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f315,f1293]) ).
fof(f3507,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ66_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f315,f1491]) ).
fof(f3508,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ66_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f315,f1490]) ).
fof(f3509,plain,
( ~ sQ66_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f315,f81]) ).
fof(f3510,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f315,f64]) ).
fof(f3511,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f315,f62]) ).
fof(f3512,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f315,f60]) ).
fof(f3513,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f315,f71]) ).
fof(f3514,plain,
! [X0] :
( ~ sQ66_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f315,f70]) ).
fof(f3515,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f315,f69]) ).
fof(f3516,plain,
! [X0,X1,X2] :
( ~ sQ66_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f315,f67]) ).
fof(f3517,plain,
( ~ sQ71_spl
| ~ sQ66_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f3493,f607,f314,f330]) ).
fof(f3518,plain,
( ~ sQ165_spl
| ~ sQ66_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3496,f291,f314,f929]) ).
fof(f3519,definition,
! [X0] :
( sQ329_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f3520,plain,
! [X0] :
( ~ sQ329_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f3519]) ).
fof(f3522,plain,
( ~ sQ36_spl
| ~ sQ66_spl
| sQ152_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f3501,f3519,f773,f314,f213]) ).
fof(f3523,plain,
( ~ sQ36_spl
| ~ sQ66_spl
| sQ144_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f3502,f3519,f685,f314,f213]) ).
fof(f3524,definition,
! [X0] :
( sQ330_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f3525,plain,
! [X0] :
( ~ sQ330_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f3524]) ).
fof(f3527,plain,
( ~ sQ6_spl
| ~ sQ66_spl
| sQ141_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f3503,f3524,f659,f314,f112]) ).
fof(f3528,plain,
( ~ sQ6_spl
| ~ sQ66_spl
| sQ136_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f3504,f3524,f614,f314,f112]) ).
fof(f3529,plain,
( ~ sQ26_spl
| ~ sQ66_spl
| sQ152_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f3505,f2408,f773,f314,f181]) ).
fof(f3530,plain,
( ~ sQ26_spl
| ~ sQ66_spl
| sQ137_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f3506,f2408,f621,f314,f181]) ).
fof(f3531,definition,
! [X0] :
( sQ331_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f3532,plain,
! [X0] :
( ~ sQ331_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f3531]) ).
fof(f3534,plain,
( ~ sQ71_spl
| ~ sQ66_spl
| sQ154_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f3507,f3531,f792,f314,f330]) ).
fof(f3535,plain,
( ~ sQ71_spl
| ~ sQ66_spl
| sQ135_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f3508,f3531,f607,f314,f330]) ).
fof(f3536,plain,
( ~ sQ66_spl
| sQ157_spl ),
inference(split_clause,[status(thm)],[f3509,f817,f314]) ).
fof(f3537,definition,
! [X0] :
( sQ332_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f3538,plain,
! [X0] :
( ~ sQ332_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f3537]) ).
fof(f3540,plain,
( ~ sQ66_spl
| sQ157_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f3513,f3537,f817,f314]) ).
fof(f3541,plain,
( ~ sQ66_spl
| sQ146_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f3514,f3537,f714,f314]) ).
fof(f3542,plain,
( ~ sQ332_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f3538,f65]) ).
fof(f3543,plain,
( ~ sQ22_spl
| ~ sQ331_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f3532,f164]) ).
fof(f3550,plain,
( ~ sQ319_spl
| ~ sQ49_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f255,f3334]) ).
fof(f3551,plain,
( ~ sQ173_spl
| ~ sQ49_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f255,f1052]) ).
fof(f3554,plain,
( ~ sQ142_spl
| ~ sQ49_spl
| ~ product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f255,f677]) ).
fof(f3555,plain,
( ~ sQ182_spl
| ~ sQ49_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f255,f1143]) ).
fof(f3556,plain,
( ~ sQ222_spl
| ~ sQ49_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f255,f1696]) ).
fof(f3558,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ49_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f255,f1554]) ).
fof(f3559,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ49_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f255,f1553]) ).
fof(f3560,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f255,f951]) ).
fof(f3561,plain,
! [X0] :
( ~ sQ49_spl
| equalish(e_4,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f255,f952]) ).
fof(f3562,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ49_spl
| equalish(e_3,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f255,f1675]) ).
fof(f3563,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ49_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f255,f1674]) ).
fof(f3571,definition,
! [X0] :
( sQ333_spl
<=> ( ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f3572,plain,
! [X0] :
( ~ sQ333_spl
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f3571]) ).
fof(f3574,plain,
( ~ sQ69_spl
| ~ sQ49_spl
| sQ176_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f3558,f3571,f1062,f254,f323]) ).
fof(f3575,plain,
( ~ sQ69_spl
| ~ sQ49_spl
| sQ133_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f3559,f3571,f581,f254,f323]) ).
fof(f3576,plain,
( ~ sQ49_spl
| sQ170_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f3560,f2647,f1006,f254]) ).
fof(f3577,plain,
( ~ sQ49_spl
| sQ161_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f3561,f2647,f873,f254]) ).
fof(f3578,plain,
( ~ sQ59_spl
| ~ sQ49_spl
| sQ176_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f3562,f1736,f1062,f254,f291]) ).
fof(f3579,plain,
( ~ sQ59_spl
| ~ sQ49_spl
| sQ127_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f3563,f1736,f537,f254,f291]) ).
fof(f3595,plain,
( ~ sQ333_spl
| ~ sQ98_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f422,f3572]) ).
fof(f3596,plain,
( ~ sQ321_spl
| ~ sQ98_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f422,f3365]) ).
fof(f3598,plain,
( ~ sQ264_spl
| ~ sQ98_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f422,f2237]) ).
fof(f3599,plain,
( ~ sQ307_spl
| ~ sQ98_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f422,f2887]) ).
fof(f3601,plain,
( ~ sQ194_spl
| ~ sQ98_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f422,f1297]) ).
fof(f3602,plain,
( ~ sQ299_spl
| ~ sQ98_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f422,f2679]) ).
fof(f3603,plain,
( ~ sQ296_spl
| ~ sQ98_spl
| ~ product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f422,f2643]) ).
fof(f3605,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f422,f1934]) ).
fof(f3606,plain,
! [X0] :
( ~ sQ98_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f422,f1935]) ).
fof(f3607,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ98_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f422,f654]) ).
fof(f3608,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ98_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f422,f653]) ).
fof(f3616,plain,
( ~ sQ98_spl
| sQ170_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f3605,f3179,f1006,f421]) ).
fof(f3617,plain,
( ~ sQ98_spl
| sQ146_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f3606,f3179,f714,f421]) ).
fof(f3618,plain,
( ~ sQ18_spl
| ~ sQ98_spl
| sQ137_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f3607,f2036,f621,f421,f150]) ).
fof(f3619,plain,
( ~ sQ18_spl
| ~ sQ98_spl
| sQ133_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f3608,f2036,f581,f421,f150]) ).
fof(f3622,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ42_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1050,f164]) ).
fof(f3624,plain,
( ~ sQ22_spl
| ~ sQ42_spl
| sQ126_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f3622,f1051,f533,f232,f163]) ).
fof(f3626,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ42_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1049,f164]) ).
fof(f3628,plain,
( ~ sQ22_spl
| ~ sQ42_spl
| sQ133_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f3626,f1051,f581,f232,f163]) ).
fof(f3632,plain,
( ~ sQ326_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f113,f3420]) ).
fof(f3634,plain,
( ~ sQ267_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f113,f2266]) ).
fof(f3635,plain,
( ~ sQ266_spl
| ~ sQ6_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f113,f2261]) ).
fof(f3636,plain,
( ~ sQ263_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f113,f2232]) ).
fof(f3637,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ6_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f113,f1163]) ).
fof(f3638,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ6_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f113,f1162]) ).
fof(f3641,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ6_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f113,f1294]) ).
fof(f3642,plain,
! [X0] :
( ~ sQ26_spl
| ~ sQ6_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f113,f1293]) ).
fof(f3643,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ6_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f113,f1491]) ).
fof(f3644,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ6_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f113,f1490]) ).
fof(f3652,plain,
( ~ sQ36_spl
| ~ sQ6_spl
| sQ126_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f3637,f1353,f533,f112,f213]) ).
fof(f3653,plain,
( ~ sQ36_spl
| ~ sQ6_spl
| sQ176_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f3638,f1353,f1062,f112,f213]) ).
fof(f3656,plain,
( ~ sQ26_spl
| ~ sQ6_spl
| sQ126_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f3641,f1376,f533,f112,f181]) ).
fof(f3657,plain,
( ~ sQ26_spl
| ~ sQ6_spl
| sQ174_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f3642,f1376,f1054,f112,f181]) ).
fof(f3658,plain,
( ~ sQ71_spl
| ~ sQ6_spl
| sQ129_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f3643,f1493,f555,f112,f330]) ).
fof(f3659,plain,
( ~ sQ71_spl
| ~ sQ6_spl
| sQ163_spl
| sQ206_spl ),
inference(split_clause,[status(thm)],[f3644,f1493,f914,f112,f330]) ).
fof(f3668,plain,
( ~ sQ320_spl
| ~ sQ85_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f381,f3340]) ).
fof(f3670,plain,
( ~ sQ286_spl
| ~ sQ85_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f381,f2511]) ).
fof(f3671,plain,
( ~ sQ285_spl
| ~ sQ85_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f381,f2506]) ).
fof(f3674,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ85_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f381,f1753]) ).
fof(f3675,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ85_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f381,f1754]) ).
fof(f3676,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ85_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f381,f1600]) ).
fof(f3677,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ85_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f381,f1599]) ).
fof(f3678,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ85_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f381,f1851]) ).
fof(f3679,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ85_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f381,f1850]) ).
fof(f3680,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f381,f2163]) ).
fof(f3681,plain,
! [X0] :
( ~ sQ85_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f381,f2164]) ).
fof(f3689,plain,
( ~ sQ285_spl
| ~ sQ85_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f3671,f376,f380,f2505]) ).
fof(f3692,definition,
! [X0] :
( sQ334_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f3693,plain,
! [X0] :
( ~ sQ334_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f3692]) ).
fof(f3695,plain,
( ~ sQ55_spl
| ~ sQ85_spl
| sQ152_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f3674,f3692,f773,f380,f279]) ).
fof(f3696,plain,
( ~ sQ55_spl
| ~ sQ85_spl
| sQ144_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f3675,f3692,f685,f380,f279]) ).
fof(f3697,definition,
! [X0] :
( sQ335_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f3698,plain,
! [X0] :
( ~ sQ335_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f3697]) ).
fof(f3700,plain,
( ~ sQ65_spl
| ~ sQ85_spl
| sQ144_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f3676,f3697,f685,f380,f311]) ).
fof(f3701,plain,
( ~ sQ65_spl
| ~ sQ85_spl
| sQ157_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f3677,f3697,f817,f380,f311]) ).
fof(f3702,plain,
( ~ sQ50_spl
| ~ sQ85_spl
| sQ144_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f3678,f2130,f685,f380,f263]) ).
fof(f3703,plain,
( ~ sQ50_spl
| ~ sQ85_spl
| sQ136_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f3679,f2130,f614,f380,f263]) ).
fof(f3704,plain,
( ~ sQ85_spl
| sQ154_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3680,f2790,f792,f380]) ).
fof(f3705,plain,
( ~ sQ85_spl
| sQ146_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f3681,f2790,f714,f380]) ).
fof(f3709,plain,
( ~ sQ55_spl
| ~ sQ50_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f264,f1749]) ).
fof(f3712,plain,
( ~ sQ294_spl
| ~ sQ50_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f264,f2603]) ).
fof(f3713,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ50_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f264,f907]) ).
fof(f3714,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ50_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f264,f906]) ).
fof(f3715,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ50_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f264,f1753]) ).
fof(f3716,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ50_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f264,f1754]) ).
fof(f3717,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f264,f1851]) ).
fof(f3718,plain,
! [X0] :
( ~ sQ50_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f264,f1850]) ).
fof(f3719,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ50_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f264,f2163]) ).
fof(f3720,plain,
! [X0] :
( ~ sQ85_spl
| ~ sQ50_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f264,f2164]) ).
fof(f3728,plain,
( ~ sQ55_spl
| ~ sQ50_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f3709,f533,f263,f279]) ).
fof(f3729,plain,
( ~ sQ5_spl
| ~ sQ50_spl
| sQ136_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f3713,f1822,f614,f263,f109]) ).
fof(f3730,plain,
( ~ sQ5_spl
| ~ sQ50_spl
| sQ126_spl
| sQ235_spl ),
inference(split_clause,[status(thm)],[f3714,f1822,f533,f263,f109]) ).
fof(f3731,definition,
! [X0] :
( sQ336_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f3732,plain,
! [X0] :
( ~ sQ336_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f3731]) ).
fof(f3734,plain,
( ~ sQ55_spl
| ~ sQ50_spl
| sQ126_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f3715,f3731,f533,f263,f279]) ).
fof(f3735,plain,
( ~ sQ55_spl
| ~ sQ50_spl
| sQ154_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f3716,f3731,f792,f263,f279]) ).
fof(f3736,definition,
! [X0] :
( sQ337_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f3737,plain,
! [X0] :
( ~ sQ337_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f3736]) ).
fof(f3739,plain,
( ~ sQ50_spl
| sQ154_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f3717,f3736,f792,f263]) ).
fof(f3740,plain,
( ~ sQ50_spl
| sQ139_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f3718,f3736,f643,f263]) ).
fof(f3741,plain,
( ~ sQ85_spl
| ~ sQ50_spl
| sQ129_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f3719,f2130,f555,f263,f380]) ).
fof(f3742,plain,
( ~ sQ85_spl
| ~ sQ50_spl
| sQ157_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f3720,f2130,f817,f263,f380]) ).
fof(f3745,plain,
! [X0] :
( ~ sQ337_spl
| ~ product(X0,e_5,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f3737]) ).
fof(f3746,plain,
( ~ sQ325_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f3459,f178,f3394]) ).
fof(f3747,plain,
( ~ sQ292_spl
| ~ sQ42_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f2730,f178,f232,f2592]) ).
fof(f3748,plain,
( ~ sQ194_spl
| ~ sQ98_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3601,f357,f421,f1296]) ).
fof(f3750,plain,
( ~ sQ279_spl
| ~ sQ82_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3187,f357,f370,f2423]) ).
fof(f3751,plain,
( ~ sQ181_spl
| ~ sQ113_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f475,f1128]) ).
fof(f3752,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ113_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f475,f1934]) ).
fof(f3753,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ113_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f475,f1935]) ).
fof(f3754,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ113_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f475,f654]) ).
fof(f3755,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ113_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f475,f653]) ).
fof(f3756,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f475,f64]) ).
fof(f3757,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f475,f62]) ).
fof(f3758,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f475,f60]) ).
fof(f3759,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f475,f71]) ).
fof(f3760,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f475,f70]) ).
fof(f3761,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f475,f69]) ).
fof(f3762,plain,
! [X0,X1,X2] :
( ~ sQ113_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f475,f67]) ).
fof(f3763,definition,
! [X0] :
( sQ338_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f3764,plain,
! [X0] :
( ~ sQ338_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f3763]) ).
fof(f3766,plain,
( ~ sQ98_spl
| ~ sQ113_spl
| sQ134_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f3752,f3763,f600,f474,f421]) ).
fof(f3767,plain,
( ~ sQ98_spl
| ~ sQ113_spl
| sQ133_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f3753,f3763,f581,f474,f421]) ).
fof(f3768,definition,
! [X0] :
( sQ339_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f3769,plain,
! [X0] :
( ~ sQ339_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f3768]) ).
fof(f3771,plain,
( ~ sQ18_spl
| ~ sQ113_spl
| sQ171_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f3754,f3768,f1018,f474,f150]) ).
fof(f3772,plain,
( ~ sQ18_spl
| ~ sQ113_spl
| sQ157_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f3755,f3768,f817,f474,f150]) ).
fof(f3773,definition,
! [X0] :
( sQ340_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f3774,plain,
! [X0] :
( ~ sQ340_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f3773]) ).
fof(f3776,plain,
( ~ sQ113_spl
| sQ127_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f3759,f3773,f537,f474]) ).
fof(f3777,plain,
( ~ sQ113_spl
| sQ152_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f3760,f3773,f773,f474]) ).
fof(f3781,plain,
( ~ sQ262_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f151,f2199]) ).
fof(f3782,plain,
( ~ sQ172_spl
| ~ sQ18_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f151,f1038]) ).
fof(f3783,plain,
( ~ sQ175_spl
| ~ sQ18_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f151,f1060]) ).
fof(f3784,plain,
( ~ sQ179_spl
| ~ sQ18_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f151,f1107]) ).
fof(f3785,plain,
( ~ sQ223_spl
| ~ sQ18_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f151,f1701]) ).
fof(f3786,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ18_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f151,f1934]) ).
fof(f3787,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ18_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f151,f1935]) ).
fof(f3788,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f151,f654]) ).
fof(f3789,plain,
! [X0] :
( ~ sQ18_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f151,f653]) ).
fof(f3797,plain,
( ~ sQ98_spl
| ~ sQ18_spl
| sQ135_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f3786,f2036,f607,f150,f421]) ).
fof(f3798,plain,
( ~ sQ98_spl
| ~ sQ18_spl
| sQ132_spl
| sQ247_spl ),
inference(split_clause,[status(thm)],[f3787,f2036,f577,f150,f421]) ).
fof(f3799,plain,
( ~ sQ18_spl
| sQ139_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f3788,f739,f643,f150]) ).
fof(f3800,plain,
( ~ sQ18_spl
| sQ146_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f3789,f739,f714,f150]) ).
fof(f3803,plain,
( ~ sQ77_spl
| ~ sQ337_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f355,f3745]) ).
fof(f3804,plain,
( ~ sQ77_spl
| ~ sQ337_spl ),
inference(contradiction_clause,[status(thm)],[f3803]) ).
fof(f3805,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ82_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f3196,f164]) ).
fof(f3806,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f3196,f65]) ).
fof(f3807,definition,
! [X0] :
( sQ341_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f3808,plain,
! [X0] :
( ~ sQ341_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f3807]) ).
fof(f3810,plain,
( ~ sQ22_spl
| ~ sQ82_spl
| sQ127_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f3805,f3807,f537,f370,f163]) ).
fof(f3811,plain,
( ~ sQ82_spl
| sQ152_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f3806,f3199,f773,f370]) ).
fof(f3812,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ82_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f3197,f164]) ).
fof(f3813,plain,
! [X0] :
( ~ sQ82_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f3197,f65]) ).
fof(f3814,plain,
( ~ sQ22_spl
| ~ sQ82_spl
| sQ132_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f3812,f3807,f577,f370,f163]) ).
fof(f3815,plain,
( ~ sQ82_spl
| sQ157_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f3813,f3199,f817,f370]) ).
fof(f3823,plain,
( ~ sQ185_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1172,f65]) ).
fof(f3825,plain,
( ~ sQ113_spl
| ~ sQ197_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f1354,f475]) ).
fof(f3826,plain,
( ~ sQ113_spl
| ~ sQ197_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f3825,f461,f1353,f474]) ).
fof(f3827,plain,
( ~ sQ147_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f727,f65]) ).
fof(f3828,plain,
( ~ sQ98_spl
| ~ sQ300_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f2690,f422]) ).
fof(f3833,plain,
( ~ sQ98_spl
| ~ sQ184_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1167,f422]) ).
fof(f3834,plain,
( ~ sQ49_spl
| ~ sQ212_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f1574,f255]) ).
fof(f3835,plain,
( ~ sQ49_spl
| ~ sQ212_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f3834,f232,f1573,f254]) ).
fof(f3836,plain,
( ~ sQ49_spl
| ~ sQ232_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1794,f255]) ).
fof(f3837,plain,
( ~ sQ49_spl
| ~ sQ155_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f809,f255]) ).
fof(f3838,plain,
( ~ sQ98_spl
| ~ sQ177_spl
| ~ product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f1085,f422]) ).
fof(f3859,plain,
( ~ sQ22_spl
| ~ sQ205_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f1474,f164]) ).
fof(f3861,plain,
( ~ sQ18_spl
| ~ sQ233_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f1799,f151]) ).
fof(f3863,plain,
( ~ sQ49_spl
| ~ sQ341_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f3808,f255]) ).
fof(f3871,plain,
( ~ sQ338_spl
| ~ sQ71_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f331,f3764]) ).
fof(f3872,plain,
( ~ sQ249_spl
| ~ sQ71_spl
| ~ product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f331,f2049]) ).
fof(f3873,plain,
( ~ sQ242_spl
| ~ sQ71_spl
| ~ product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f331,f1984]) ).
fof(f3874,plain,
( ~ sQ241_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f331,f1979]) ).
fof(f3876,plain,
( ~ sQ244_spl
| ~ sQ71_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f331,f1995]) ).
fof(f3877,plain,
( ~ sQ247_spl
| ~ sQ71_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f331,f2037]) ).
fof(f3878,plain,
( ~ sQ245_spl
| ~ sQ71_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f331,f2027]) ).
fof(f3879,plain,
( ~ sQ251_spl
| ~ sQ71_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f331,f2059]) ).
fof(f3880,plain,
( ~ sQ252_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f331,f2064]) ).
fof(f3881,plain,
( ~ sQ246_spl
| ~ sQ71_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f331,f2032]) ).
fof(f3882,plain,
( ~ sQ310_spl
| ~ sQ71_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f331,f2914]) ).
fof(f3883,plain,
( ~ sQ313_spl
| ~ sQ71_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f331,f3175]) ).
fof(f3884,plain,
( ~ sQ243_spl
| ~ sQ71_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f331,f1989]) ).
fof(f3885,plain,
( ~ sQ250_spl
| ~ sQ71_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f331,f2054]) ).
fof(f3886,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ71_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f331,f1163]) ).
fof(f3887,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ71_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f331,f1162]) ).
fof(f3890,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f331,f1491]) ).
fof(f3891,plain,
! [X0] :
( ~ sQ71_spl
| equalish(e_1,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f331,f1490]) ).
fof(f3899,plain,
( ~ sQ251_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3879,f65]) ).
fof(f3900,plain,
( ~ sQ251_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f3899]) ).
fof(f3901,plain,
( ~ sQ246_spl
| ~ sQ71_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f3881,f272,f330,f2031]) ).
fof(f3902,definition,
! [X0] :
( sQ342_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f3903,plain,
! [X0] :
( ~ sQ342_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f3902]) ).
fof(f3905,plain,
( ~ sQ36_spl
| ~ sQ71_spl
| sQ152_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f3886,f3902,f773,f330,f213]) ).
fof(f3906,plain,
( ~ sQ36_spl
| ~ sQ71_spl
| sQ130_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f3887,f3902,f559,f330,f213]) ).
fof(f3909,plain,
( ~ sQ71_spl
| sQ154_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f3890,f3113,f792,f330]) ).
fof(f3910,plain,
( ~ sQ71_spl
| sQ170_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f3891,f3113,f1006,f330]) ).
fof(f3913,plain,
( ~ sQ22_spl
| ~ sQ342_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f3903,f164]) ).
fof(f3915,plain,
( ~ sQ65_spl
| ~ sQ55_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f280,f1595]) ).
fof(f3918,plain,
( ~ sQ290_spl
| ~ sQ55_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f280,f2557]) ).
fof(f3919,plain,
( ~ sQ289_spl
| ~ sQ55_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f280,f2552]) ).
fof(f3920,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ55_spl
| equalish(e_5,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f280,f831]) ).
fof(f3921,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ55_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f280,f830]) ).
fof(f3922,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ55_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f280,f1600]) ).
fof(f3923,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ55_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f280,f1599]) ).
fof(f3924,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ55_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f280,f1373]) ).
fof(f3925,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ55_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f280,f1374]) ).
fof(f3926,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f280,f1753]) ).
fof(f3927,plain,
! [X0] :
( ~ sQ55_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f280,f1754]) ).
fof(f3935,plain,
( ~ sQ65_spl
| ~ sQ55_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f3915,f933,f279,f311]) ).
fof(f3936,plain,
( ~ sQ290_spl
| ~ sQ55_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f3918,f272,f279,f2556]) ).
fof(f3937,plain,
( ~ sQ10_spl
| ~ sQ55_spl
| sQ136_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f3920,f1731,f614,f279,f125]) ).
fof(f3938,plain,
( ~ sQ10_spl
| ~ sQ55_spl
| sQ176_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f3921,f1731,f1062,f279,f125]) ).
fof(f3939,definition,
! [X0] :
( sQ343_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f3940,plain,
! [X0] :
( ~ sQ343_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f3939]) ).
fof(f3942,plain,
( ~ sQ65_spl
| ~ sQ55_spl
| sQ154_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f3922,f3939,f792,f279,f311]) ).
fof(f3943,plain,
( ~ sQ65_spl
| ~ sQ55_spl
| sQ166_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f3923,f3939,f933,f279,f311]) ).
fof(f3944,plain,
( ~ sQ25_spl
| ~ sQ55_spl
| sQ174_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f3924,f2423,f1054,f279,f178]) ).
fof(f3945,plain,
( ~ sQ25_spl
| ~ sQ55_spl
| sQ152_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f3925,f2423,f773,f279,f178]) ).
fof(f3946,definition,
! [X0] :
( sQ344_spl
<=> ( ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f3947,plain,
! [X0] :
( ~ sQ344_spl
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f3946]) ).
fof(f3949,plain,
( ~ sQ55_spl
| sQ161_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f3926,f3946,f873,f279]) ).
fof(f3950,plain,
( ~ sQ55_spl
| sQ154_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f3927,f3946,f792,f279]) ).
fof(f3953,plain,
! [X0] :
( ~ sQ344_spl
| ~ product(X0,e_4,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f3947]) ).
fof(f3954,plain,
( ~ sQ245_spl
| ~ sQ71_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f3878,f291,f330,f2026]) ).
fof(f3971,plain,
( ~ sQ294_spl
| ~ sQ25_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f179,f2603]) ).
fof(f3972,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ25_spl
| equalish(e_2,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f179,f2258]) ).
fof(f3973,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ25_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f179,f2257]) ).
fof(f3974,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ25_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f179,f831]) ).
fof(f3975,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ25_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f179,f830]) ).
fof(f3987,plain,
( ~ sQ80_spl
| ~ sQ25_spl
| sQ166_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f3972,f2265,f933,f178,f364]) ).
fof(f3988,plain,
( ~ sQ80_spl
| ~ sQ25_spl
| sQ126_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f3973,f2265,f533,f178,f364]) ).
fof(f3989,definition,
! [X0] :
( sQ345_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f3990,plain,
! [X0] :
( ~ sQ345_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f3989]) ).
fof(f3992,plain,
( ~ sQ10_spl
| ~ sQ25_spl
| sQ174_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f3974,f3989,f1054,f178,f125]) ).
fof(f3993,plain,
( ~ sQ10_spl
| ~ sQ25_spl
| sQ129_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f3975,f3989,f555,f178,f125]) ).
fof(f4003,plain,
( ~ sQ263_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f113,f2232]) ).
fof(f4004,plain,
( ~ sQ267_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f113,f2266]) ).
fof(f4005,plain,
( ~ sQ266_spl
| ~ sQ6_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f113,f2261]) ).
fof(f4030,plain,
( ~ sQ284_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f233,f2501]) ).
fof(f4031,plain,
( ~ sQ335_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f233,f3698]) ).
fof(f4032,plain,
( ~ sQ329_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f233,f3520]) ).
fof(f4033,plain,
( ~ sQ330_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f233,f3525]) ).
fof(f4034,plain,
( ~ sQ213_spl
| ~ sQ42_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f233,f1579]) ).
fof(f4035,plain,
( ~ sQ278_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f233,f2409]) ).
fof(f4036,plain,
( ~ sQ298_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f233,f2656]) ).
fof(f4037,plain,
( ~ sQ288_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f233,f2547]) ).
fof(f4039,plain,
( ~ sQ214_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1585]) ).
fof(f4051,plain,
( ~ sQ335_spl
| ~ sQ42_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f4031,f213,f232,f3697]) ).
fof(f4061,plain,
( ~ sQ323_spl
| ~ sQ65_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f312,f3375]) ).
fof(f4062,plain,
( ~ sQ282_spl
| ~ sQ65_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f312,f2467]) ).
fof(f4063,plain,
( ~ sQ280_spl
| ~ sQ65_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f312,f2457]) ).
fof(f4064,plain,
( ~ sQ281_spl
| ~ sQ65_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f312,f2462]) ).
fof(f4065,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ65_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f312,f2258]) ).
fof(f4066,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ65_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f312,f2257]) ).
fof(f4067,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ65_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f312,f831]) ).
fof(f4068,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ65_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f312,f830]) ).
fof(f4069,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f312,f1600]) ).
fof(f4070,plain,
! [X0] :
( ~ sQ65_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f312,f1599]) ).
fof(f4071,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ65_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f312,f1373]) ).
fof(f4072,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ65_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f312,f1374]) ).
fof(f4080,plain,
( ~ sQ282_spl
| ~ sQ65_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f4062,f272,f311,f2466]) ).
fof(f4081,plain,
( ~ sQ281_spl
| ~ sQ65_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f4064,f291,f311,f2461]) ).
fof(f4082,definition,
! [X0] :
( sQ346_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f4083,plain,
! [X0] :
( ~ sQ346_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f4082]) ).
fof(f4085,plain,
( ~ sQ80_spl
| ~ sQ65_spl
| sQ157_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f4065,f4082,f817,f311,f364]) ).
fof(f4086,plain,
( ~ sQ80_spl
| ~ sQ65_spl
| sQ141_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f4066,f4082,f659,f311,f364]) ).
fof(f4087,definition,
! [X0] :
( sQ347_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f4088,plain,
! [X0] :
( ~ sQ347_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f4087]) ).
fof(f4090,plain,
( ~ sQ10_spl
| ~ sQ65_spl
| sQ136_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f4067,f4087,f614,f311,f125]) ).
fof(f4091,plain,
( ~ sQ10_spl
| ~ sQ65_spl
| sQ144_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f4068,f4087,f685,f311,f125]) ).
fof(f4092,definition,
! [X0] :
( sQ348_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f4093,plain,
! [X0] :
( ~ sQ348_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(component_clause,[status(thm)],[f4092]) ).
fof(f4095,plain,
( ~ sQ65_spl
| sQ154_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f4069,f4092,f792,f311]) ).
fof(f4096,plain,
( ~ sQ65_spl
| sQ146_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f4070,f4092,f714,f311]) ).
fof(f4097,plain,
( ~ sQ25_spl
| ~ sQ65_spl
| sQ137_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f4071,f2408,f621,f311,f178]) ).
fof(f4098,plain,
( ~ sQ25_spl
| ~ sQ65_spl
| sQ152_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f4072,f2408,f773,f311,f178]) ).
fof(f4101,plain,
! [X0] :
( ~ sQ348_spl
| ~ product(X0,e_2,e_3) ),
inference(duplicate_literals_removal,[status(thm)],[f4093]) ).
fof(f4102,plain,
( ~ sQ42_spl
| ~ sQ348_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f233,f4101]) ).
fof(f4103,plain,
( ~ sQ42_spl
| ~ sQ348_spl ),
inference(contradiction_clause,[status(thm)],[f4102]) ).
fof(f4107,plain,
( ~ sQ254_spl
| ~ sQ36_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f214,f2131]) ).
fof(f4108,plain,
( ~ sQ316_spl
| ~ sQ36_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f214,f3272]) ).
fof(f4109,plain,
( ~ sQ255_spl
| ~ sQ36_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f214,f2136]) ).
fof(f4110,plain,
( ~ sQ259_spl
| ~ sQ36_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f214,f2171]) ).
fof(f4111,plain,
( ~ sQ303_spl
| ~ sQ36_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f214,f2784]) ).
fof(f4112,plain,
( ~ sQ258_spl
| ~ sQ36_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f214,f2166]) ).
fof(f4113,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f214,f1163]) ).
fof(f4114,plain,
! [X0] :
( ~ sQ36_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f214,f1162]) ).
fof(f4115,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ36_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f214,f896]) ).
fof(f4116,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ36_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f214,f897]) ).
fof(f4117,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ36_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f214,f1491]) ).
fof(f4118,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ36_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f214,f1490]) ).
fof(f4126,plain,
( ~ sQ303_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4111,f65]) ).
fof(f4127,plain,
( ~ sQ303_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f4126]) ).
fof(f4128,plain,
( ~ sQ36_spl
| sQ161_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f4113,f1333,f873,f213]) ).
fof(f4129,plain,
( ~ sQ36_spl
| sQ154_spl
| sQ196_spl ),
inference(split_clause,[status(thm)],[f4114,f1333,f792,f213]) ).
fof(f4130,plain,
( ~ sQ6_spl
| ~ sQ36_spl
| sQ152_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f4115,f1353,f773,f213,f112]) ).
fof(f4131,plain,
( ~ sQ6_spl
| ~ sQ36_spl
| sQ174_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f4116,f1353,f1054,f213,f112]) ).
fof(f4132,plain,
( ~ sQ71_spl
| ~ sQ36_spl
| sQ176_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f4117,f3902,f1062,f213,f330]) ).
fof(f4133,plain,
( ~ sQ71_spl
| ~ sQ36_spl
| sQ134_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f4118,f3902,f600,f213,f330]) ).
fof(f4137,plain,
( ~ sQ98_spl
| ~ sQ333_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f3572,f422]) ).
fof(f4138,plain,
( ~ sQ22_spl
| ~ sQ331_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f3532,f164]) ).
fof(f4140,plain,
( ~ sQ65_spl
| ~ sQ280_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f2457,f312]) ).
fof(f4156,plain,
( ~ sQ340_spl
| ~ sQ10_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f126,f3774]) ).
fof(f4157,plain,
( ~ sQ285_spl
| ~ sQ10_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f126,f2506]) ).
fof(f4158,plain,
( ~ sQ320_spl
| ~ sQ10_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f126,f3340]) ).
fof(f4159,plain,
( ~ sQ286_spl
| ~ sQ10_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f126,f2511]) ).
fof(f4160,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ10_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f126,f1599]) ).
fof(f4161,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ10_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f126,f1600]) ).
fof(f4162,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ10_spl
| equalish(e_2,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f126,f2258]) ).
fof(f4163,plain,
! [X0] :
( ~ sQ80_spl
| ~ sQ10_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f126,f2257]) ).
fof(f4164,plain,
! [X0] :
( ~ sQ10_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f126,f831]) ).
fof(f4166,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f126,f1373]) ).
fof(f4167,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ10_spl
| equalish(e_4,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f126,f1374]) ).
fof(f4175,plain,
( ~ sQ65_spl
| ~ sQ10_spl
| sQ157_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f4160,f4087,f817,f125,f311]) ).
fof(f4176,plain,
( ~ sQ65_spl
| ~ sQ10_spl
| sQ129_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f4161,f4087,f555,f125,f311]) ).
fof(f4177,definition,
! [X0] :
( sQ349_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f4178,plain,
! [X0] :
( ~ sQ349_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f4177]) ).
fof(f4180,plain,
( ~ sQ80_spl
| ~ sQ10_spl
| sQ132_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f4162,f4177,f577,f125,f364]) ).
fof(f4181,plain,
( ~ sQ80_spl
| ~ sQ10_spl
| sQ152_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f4163,f4177,f773,f125,f364]) ).
fof(f4182,plain,
( ~ sQ10_spl
| sQ139_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f4164,f841,f643,f125]) ).
fof(f4184,plain,
( ~ sQ25_spl
| ~ sQ10_spl
| sQ136_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f4166,f3989,f614,f125,f178]) ).
fof(f4185,plain,
( ~ sQ25_spl
| ~ sQ10_spl
| sQ126_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f4167,f3989,f533,f125,f178]) ).
fof(f4188,plain,
( ~ sQ234_spl
| ~ sQ87_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f387,f1805]) ).
fof(f4189,plain,
( ~ sQ183_spl
| ~ sQ87_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f387,f1149]) ).
fof(f4190,plain,
( ~ sQ315_spl
| ~ sQ87_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f387,f3200]) ).
fof(f4191,plain,
( ~ sQ309_spl
| ~ sQ87_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f387,f2905]) ).
fof(f4192,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ87_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f387,f1049]) ).
fof(f4193,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ87_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f387,f1050]) ).
fof(f4194,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ87_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f387,f550]) ).
fof(f4195,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ87_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f387,f551]) ).
fof(f4196,plain,
( ~ sQ87_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f387,f81]) ).
fof(f4197,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f387,f64]) ).
fof(f4198,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f387,f62]) ).
fof(f4199,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f387,f60]) ).
fof(f4200,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f387,f71]) ).
fof(f4201,plain,
! [X0] :
( ~ sQ87_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f387,f70]) ).
fof(f4202,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f387,f69]) ).
fof(f4203,plain,
! [X0,X1,X2] :
( ~ sQ87_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f387,f67]) ).
fof(f4204,plain,
( ~ sQ234_spl
| ~ sQ87_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f4188,f354,f386,f1804]) ).
fof(f4205,definition,
! [X0] :
( sQ350_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f4206,plain,
! [X0] :
( ~ sQ350_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f4205]) ).
fof(f4208,plain,
( ~ sQ42_spl
| ~ sQ87_spl
| sQ157_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f4192,f4205,f817,f386,f232]) ).
fof(f4209,plain,
( ~ sQ42_spl
| ~ sQ87_spl
| sQ141_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f4193,f4205,f659,f386,f232]) ).
fof(f4210,definition,
! [X0] :
( sQ351_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f4211,plain,
! [X0] :
( ~ sQ351_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f4210]) ).
fof(f4213,plain,
( ~ sQ22_spl
| ~ sQ87_spl
| sQ134_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f4194,f4210,f600,f386,f163]) ).
fof(f4214,plain,
( ~ sQ22_spl
| ~ sQ87_spl
| sQ137_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f4195,f4210,f621,f386,f163]) ).
fof(f4215,plain,
( ~ sQ87_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f4196,f685,f386]) ).
fof(f4216,definition,
! [X0] :
( sQ352_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f4217,plain,
! [X0] :
( ~ sQ352_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f4216]) ).
fof(f4219,plain,
( ~ sQ87_spl
| sQ144_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f4200,f4216,f685,f386]) ).
fof(f4220,plain,
( ~ sQ87_spl
| sQ154_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f4201,f4216,f792,f386]) ).
fof(f4221,plain,
( ~ sQ89_spl
| ~ sQ299_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f393,f3602]) ).
fof(f4222,plain,
( ~ sQ89_spl
| ~ sQ299_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f4221]) ).
fof(f4223,plain,
( ~ sQ36_spl
| ~ sQ352_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f4217,f214]) ).
fof(f4224,plain,
( ~ sQ49_spl
| ~ sQ351_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f4211,f255]) ).
fof(f4225,plain,
( ~ sQ49_spl
| ~ sQ351_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f4224,f213,f4210,f254]) ).
fof(f4226,plain,
( ~ sQ18_spl
| ~ sQ350_spl
| ~ product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f4206,f151]) ).
fof(f4227,plain,
( ~ sQ98_spl
| ~ sQ218_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f1641,f422]) ).
fof(f4229,plain,
( ~ sQ350_spl
| ~ sQ118_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f491,f4206]) ).
fof(f4230,plain,
( ~ sQ233_spl
| ~ sQ118_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f491,f1799]) ).
fof(f4231,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f491,f648]) ).
fof(f4232,plain,
( ~ sQ262_spl
| ~ sQ118_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f491,f2199]) ).
fof(f4233,plain,
( ~ sQ172_spl
| ~ sQ118_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f491,f1038]) ).
fof(f4234,plain,
( ~ sQ175_spl
| ~ sQ118_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f491,f1060]) ).
fof(f4235,plain,
( ~ sQ179_spl
| ~ sQ118_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f491,f1107]) ).
fof(f4236,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ118_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f491,f1934]) ).
fof(f4237,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ118_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f491,f1935]) ).
fof(f4238,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ118_spl
| equalish(e_5,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f491,f654]) ).
fof(f4239,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ118_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f491,f653]) ).
fof(f4240,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f491,f64]) ).
fof(f4241,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f491,f62]) ).
fof(f4242,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f491,f60]) ).
fof(f4243,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f491,f71]) ).
fof(f4244,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f491,f70]) ).
fof(f4245,plain,
! [X0,X1,X2] :
( ~ sQ118_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f491,f69]) ).
fof(f4246,plain,
! [X0,X1,X2] :
( ~ sQ118_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f491,f67]) ).
fof(f4247,plain,
( ~ sQ350_spl
| ~ sQ118_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f4229,f468,f490,f4205]) ).
fof(f4248,plain,
( ~ sQ233_spl
| ~ sQ118_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f4230,f439,f490,f1798]) ).
fof(f4249,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f4231,f1018,f490,f150]) ).
fof(f4250,definition,
! [X0] :
( sQ353_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f4251,plain,
! [X0] :
( ~ sQ353_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f4250]) ).
fof(f4253,plain,
( ~ sQ98_spl
| ~ sQ118_spl
| sQ135_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f4236,f4250,f607,f490,f421]) ).
fof(f4254,plain,
( ~ sQ98_spl
| ~ sQ118_spl
| sQ133_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f4237,f4250,f581,f490,f421]) ).
fof(f4255,definition,
! [X0] :
( sQ354_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f4256,plain,
! [X0] :
( ~ sQ354_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_5) ),
inference(component_clause,[status(thm)],[f4255]) ).
fof(f4258,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| sQ171_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f4238,f4255,f1018,f490,f150]) ).
fof(f4259,plain,
( ~ sQ18_spl
| ~ sQ118_spl
| sQ146_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f4239,f4255,f714,f490,f150]) ).
fof(f4260,definition,
! [X0] :
( sQ355_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f4261,plain,
! [X0] :
( ~ sQ355_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f4260]) ).
fof(f4263,plain,
( ~ sQ118_spl
| sQ127_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f4243,f4260,f537,f490]) ).
fof(f4264,plain,
( ~ sQ118_spl
| sQ141_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f4244,f4260,f659,f490]) ).
fof(f4265,plain,
( ~ sQ35_spl
| ~ sQ319_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f211,f3550]) ).
fof(f4266,plain,
( ~ sQ35_spl
| ~ sQ319_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f4265]) ).
fof(f4267,plain,
( ~ sQ82_spl
| ~ sQ344_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f371,f3953]) ).
fof(f4268,plain,
( ~ sQ82_spl
| ~ sQ344_spl ),
inference(contradiction_clause,[status(thm)],[f4267]) ).
fof(f4269,plain,
( ~ sQ18_spl
| ~ sQ350_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f4226,f128,f4205,f150]) ).
fof(f4270,plain,
( ~ sQ58_spl
| ~ sQ310_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f3882]) ).
fof(f4271,plain,
( ~ sQ58_spl
| ~ sQ310_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f4270]) ).
fof(f4272,plain,
( ~ sQ98_spl
| ~ sQ300_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f3828,f376,f2689,f421]) ).
fof(f4273,plain,
( ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ342_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f135,f3913]) ).
fof(f4274,plain,
( ~ sQ13_spl
| ~ sQ22_spl
| ~ sQ342_spl ),
inference(contradiction_clause,[status(thm)],[f4273]) ).
fof(f4275,plain,
( ~ sQ65_spl
| ~ sQ355_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f4261,f312]) ).
fof(f4276,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ5_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f906,f312]) ).
fof(f4278,plain,
( ~ sQ65_spl
| ~ sQ5_spl
| sQ141_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4276,f3524,f659,f109,f311]) ).
fof(f4280,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ5_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f907,f312]) ).
fof(f4282,plain,
( ~ sQ65_spl
| ~ sQ5_spl
| sQ136_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4280,f3524,f614,f109,f311]) ).
fof(f4288,plain,
( ~ sQ71_spl
| ~ sQ353_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f4251,f331]) ).
fof(f4289,plain,
( ~ sQ71_spl
| ~ sQ353_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f4288,f311,f4250,f330]) ).
fof(f4291,plain,
( ~ sQ325_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f3395,f65]) ).
fof(f4292,plain,
( ~ sQ98_spl
| ~ sQ299_spl
| ~ product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f2679,f422]) ).
fof(f4295,plain,
( ~ sQ98_spl
| ~ sQ184_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1167,f422]) ).
fof(f4299,definition,
! [X0] :
( sQ356_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f4300,plain,
! [X0] :
( ~ sQ356_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f4299]) ).
fof(f4304,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ50_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1851,f312]) ).
fof(f4306,plain,
( ~ sQ65_spl
| ~ sQ50_spl
| sQ154_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f4304,f4299,f792,f263,f311]) ).
fof(f4308,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ40_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1104,f312]) ).
fof(f4310,plain,
( ~ sQ65_spl
| ~ sQ40_spl
| sQ152_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f4308,f1578,f773,f226,f311]) ).
fof(f4312,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ40_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1103,f312]) ).
fof(f4314,plain,
( ~ sQ65_spl
| ~ sQ40_spl
| sQ146_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f4312,f1578,f714,f226,f311]) ).
fof(f4316,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ113_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3761,f422]) ).
fof(f4317,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ113_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3761,f151]) ).
fof(f4318,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3761,f65]) ).
fof(f4319,plain,
( ~ sQ98_spl
| ~ sQ113_spl
| sQ130_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f4316,f3763,f559,f474,f421]) ).
fof(f4320,plain,
( ~ sQ18_spl
| ~ sQ113_spl
| sQ144_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f4317,f3768,f685,f474,f150]) ).
fof(f4321,plain,
( ~ sQ113_spl
| sQ176_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f4318,f3773,f1062,f474]) ).
fof(f4322,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ113_spl
| equalish(e_1,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3762,f422]) ).
fof(f4323,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ113_spl
| equalish(e_1,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3762,f151]) ).
fof(f4324,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3762,f65]) ).
fof(f4325,plain,
( ~ sQ98_spl
| ~ sQ113_spl
| sQ135_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f4322,f3763,f607,f474,f421]) ).
fof(f4326,plain,
( ~ sQ18_spl
| ~ sQ113_spl
| sQ148_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f4323,f3768,f729,f474,f150]) ).
fof(f4327,plain,
( ~ sQ113_spl
| sQ163_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f4324,f3773,f914,f474]) ).
fof(f4336,plain,
( ~ sQ65_spl
| ~ sQ50_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1846,f312]) ).
fof(f4337,plain,
( ~ sQ65_spl
| ~ sQ50_spl
| sQ137_spl ),
inference(split_clause,[status(thm)],[f4336,f621,f263,f311]) ).
fof(f4338,plain,
( ~ sQ83_spl
| ~ sQ167_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f1926]) ).
fof(f4339,plain,
( ~ sQ83_spl
| ~ sQ167_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f4338]) ).
fof(f4340,plain,
( ~ sQ111_spl
| ~ sQ304_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f469,f2795]) ).
fof(f4341,plain,
( ~ sQ111_spl
| ~ sQ304_spl ),
inference(contradiction_clause,[status(thm)],[f4340]) ).
fof(f4342,plain,
( ~ sQ181_spl
| ~ sQ88_spl
| ~ sQ83_spl ),
inference(split_clause,[status(thm)],[f2767,f373,f389,f1127]) ).
fof(f4346,plain,
( ~ sQ289_spl
| ~ sQ5_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f110,f2552]) ).
fof(f4347,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_5,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f110,f907]) ).
fof(f4356,plain,
( ~ sQ5_spl
| sQ139_spl
| sQ164_spl ),
inference(split_clause,[status(thm)],[f4347,f923,f643,f109]) ).
fof(f4363,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ26_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f182,f805]) ).
fof(f4364,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ26_spl
| equalish(e_5,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f182,f806]) ).
fof(f4365,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ26_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f182,f1491]) ).
fof(f4366,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ26_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f182,f1490]) ).
fof(f4372,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f182,f69]) ).
fof(f4373,plain,
! [X0,X1,X2] :
( ~ sQ26_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f182,f67]) ).
fof(f4374,plain,
( ~ sQ11_spl
| ~ sQ26_spl
| sQ129_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f4363,f3989,f555,f181,f128]) ).
fof(f4375,plain,
( ~ sQ11_spl
| ~ sQ26_spl
| sQ174_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f4364,f3989,f1054,f181,f128]) ).
fof(f4376,definition,
! [X0] :
( sQ357_spl
<=> ( ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f4377,plain,
! [X0] :
( ~ sQ357_spl
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f4376]) ).
fof(f4379,plain,
( ~ sQ71_spl
| ~ sQ26_spl
| sQ176_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f4365,f4376,f1062,f181,f330]) ).
fof(f4380,plain,
( ~ sQ71_spl
| ~ sQ26_spl
| sQ148_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f4366,f4376,f729,f181,f330]) ).
fof(f4386,plain,
( ~ sQ98_spl
| ~ sQ300_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f2690,f422]) ).
fof(f4387,plain,
( ~ sQ65_spl
| ~ sQ280_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f2457,f312]) ).
fof(f4396,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ35_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1184,f312]) ).
fof(f4397,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ35_spl
| equalish(e_4,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1184,f110]) ).
fof(f4399,plain,
( ~ sQ65_spl
| ~ sQ35_spl
| sQ152_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f4396,f3519,f773,f210,f311]) ).
fof(f4400,plain,
( ~ sQ5_spl
| ~ sQ35_spl
| sQ126_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f4397,f1353,f533,f210,f109]) ).
fof(f4402,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ35_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1183,f312]) ).
fof(f4403,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ35_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1183,f110]) ).
fof(f4405,plain,
( ~ sQ65_spl
| ~ sQ35_spl
| sQ144_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f4402,f3519,f685,f210,f311]) ).
fof(f4406,plain,
( ~ sQ5_spl
| ~ sQ35_spl
| sQ176_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f4403,f1353,f1062,f210,f109]) ).
fof(f4409,plain,
( ~ sQ22_spl
| ~ sQ331_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f3532,f164]) ).
fof(f4410,plain,
( ~ sQ98_spl
| ~ sQ333_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f3572,f422]) ).
fof(f4411,plain,
( ~ sQ216_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f1608,f65]) ).
fof(f4412,plain,
( ~ sQ49_spl
| ~ sQ351_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f4211,f255]) ).
fof(f4413,plain,
( ~ sQ98_spl
| ~ sQ256_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f2141,f422]) ).
fof(f4415,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ75_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2340,f312]) ).
fof(f4416,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ75_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2340,f110]) ).
fof(f4418,definition,
! [X0] :
( sQ358_spl
<=> ( ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f4419,plain,
! [X0] :
( ~ sQ358_spl
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f4418]) ).
fof(f4421,plain,
( ~ sQ65_spl
| ~ sQ75_spl
| sQ137_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f4415,f4418,f621,f348,f311]) ).
fof(f4422,plain,
( ~ sQ5_spl
| ~ sQ75_spl
| sQ174_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f4416,f2343,f1054,f348,f109]) ).
fof(f4424,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ75_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2341,f312]) ).
fof(f4425,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ75_spl
| equalish(e_2,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2341,f110]) ).
fof(f4427,plain,
( ~ sQ65_spl
| ~ sQ75_spl
| sQ157_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f4424,f4418,f817,f348,f311]) ).
fof(f4428,plain,
( ~ sQ5_spl
| ~ sQ75_spl
| sQ132_spl
| sQ274_spl ),
inference(split_clause,[status(thm)],[f4425,f2343,f577,f348,f109]) ).
fof(f4431,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ65_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1599,f110]) ).
fof(f4434,plain,
( ~ sQ5_spl
| ~ sQ65_spl
| sQ166_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4431,f3524,f933,f311,f109]) ).
fof(f4437,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ65_spl
| equalish(e_3,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1600,f110]) ).
fof(f4440,plain,
( ~ sQ5_spl
| ~ sQ65_spl
| sQ129_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f4437,f3524,f555,f311,f109]) ).
fof(f4442,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ88_spl
| equalish(e_2,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2777,f422]) ).
fof(f4443,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ88_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2777,f151]) ).
fof(f4444,plain,
! [X0] :
( ~ sQ88_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2777,f65]) ).
fof(f4445,definition,
! [X0] :
( sQ359_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f4446,plain,
! [X0] :
( ~ sQ359_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_2) ),
inference(component_clause,[status(thm)],[f4445]) ).
fof(f4448,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| sQ146_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f4442,f4445,f714,f389,f421]) ).
fof(f4449,plain,
( ~ sQ18_spl
| ~ sQ88_spl
| sQ132_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f4443,f2175,f577,f389,f150]) ).
fof(f4450,plain,
( ~ sQ88_spl
| sQ166_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f4444,f2783,f933,f389]) ).
fof(f4452,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ88_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f2776,f151]) ).
fof(f4455,plain,
( ~ sQ18_spl
| ~ sQ88_spl
| sQ144_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f4452,f2175,f685,f389,f150]) ).
fof(f4457,plain,
( ~ sQ71_spl
| ~ sQ359_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f4446,f331]) ).
fof(f4458,plain,
( ~ sQ26_spl
| ~ sQ51_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f1815,f182]) ).
fof(f4459,plain,
( ~ sQ26_spl
| ~ sQ51_spl
| sQ176_spl ),
inference(split_clause,[status(thm)],[f4458,f1062,f266,f181]) ).
fof(f4460,plain,
( ~ sQ286_spl
| ~ sQ85_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f3670,f357,f380,f2510]) ).
fof(f4465,plain,
( ~ sQ49_spl
| ~ sQ222_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f1696,f255]) ).
fof(f4467,plain,
( ~ sQ65_spl
| ~ sQ322_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f3370,f312]) ).
fof(f4493,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ51_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1821,f331]) ).
fof(f4495,definition,
! [X0] :
( sQ360_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f4496,plain,
! [X0] :
( ~ sQ360_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_3) ),
inference(component_clause,[status(thm)],[f4495]) ).
fof(f4498,plain,
( ~ sQ71_spl
| ~ sQ51_spl
| sQ154_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f4493,f4495,f792,f266,f330]) ).
fof(f4514,plain,
( ~ sQ22_spl
| ~ sQ357_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f4377,f164]) ).
fof(f4515,plain,
( ~ sQ71_spl
| ~ sQ51_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1816,f331]) ).
fof(f4516,plain,
( ~ sQ71_spl
| ~ sQ51_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f4515,f1018,f266,f330]) ).
fof(f4517,plain,
( ~ sQ69_spl
| ~ sQ247_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f324,f3877]) ).
fof(f4518,plain,
( ~ sQ69_spl
| ~ sQ247_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f4517]) ).
fof(f4523,plain,
( ~ sQ257_spl
| ~ sQ116_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f485,f2147]) ).
fof(f4524,plain,
( ~ sQ332_spl
| ~ sQ116_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f485,f3538]) ).
fof(f4525,plain,
( ~ sQ156_spl
| ~ sQ116_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f485,f814]) ).
fof(f4526,plain,
( ~ sQ308_spl
| ~ sQ116_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f485,f2893]) ).
fof(f4527,plain,
( ~ sQ265_spl
| ~ sQ116_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f485,f2243]) ).
fof(f4528,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ116_spl
| equalish(e_3,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f485,f1491]) ).
fof(f4529,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ116_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f485,f1490]) ).
fof(f4530,plain,
( ~ sQ116_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f485,f81]) ).
fof(f4531,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_1,X0)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f485,f64]) ).
fof(f4532,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f485,f62]) ).
fof(f4533,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f485,f60]) ).
fof(f4534,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f485,f71]) ).
fof(f4535,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f485,f70]) ).
fof(f4536,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f485,f69]) ).
fof(f4537,plain,
! [X0,X1,X2] :
( ~ sQ116_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f485,f67]) ).
fof(f4538,plain,
( ~ sQ257_spl
| ~ sQ116_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f4523,f468,f484,f2146]) ).
fof(f4539,definition,
! [X0] :
( sQ361_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f4540,plain,
! [X0] :
( ~ sQ361_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f4539]) ).
fof(f4542,plain,
( ~ sQ71_spl
| ~ sQ116_spl
| sQ130_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f4528,f4539,f559,f484,f330]) ).
fof(f4543,plain,
( ~ sQ71_spl
| ~ sQ116_spl
| sQ135_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f4529,f4539,f607,f484,f330]) ).
fof(f4544,plain,
( ~ sQ116_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f4530,f581,f484]) ).
fof(f4545,definition,
! [X0] :
( sQ362_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f4546,plain,
! [X0] :
( ~ sQ362_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f4545]) ).
fof(f4548,plain,
( ~ sQ116_spl
| sQ133_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f4534,f4545,f581,f484]) ).
fof(f4549,plain,
( ~ sQ116_spl
| sQ146_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f4535,f4545,f714,f484]) ).
fof(f4552,plain,
( ~ sQ235_spl
| ~ sQ59_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f292,f1823]) ).
fof(f4554,plain,
( ~ sQ293_spl
| ~ sQ59_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f292,f2598]) ).
fof(f4555,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f292,f1675]) ).
fof(f4556,plain,
! [X0] :
( ~ sQ59_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f292,f1674]) ).
fof(f4557,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ59_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f292,f951]) ).
fof(f4558,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ59_spl
| equalish(e_4,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f292,f952]) ).
fof(f4566,plain,
( ~ sQ293_spl
| ~ sQ59_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f4554,f263,f291,f2597]) ).
fof(f4567,plain,
( ~ sQ59_spl
| sQ154_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f4555,f3946,f792,f291]) ).
fof(f4568,plain,
( ~ sQ59_spl
| sQ161_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f4556,f3946,f873,f291]) ).
fof(f4569,plain,
( ~ sQ49_spl
| ~ sQ59_spl
| sQ163_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f4557,f1736,f914,f291,f254]) ).
fof(f4570,plain,
( ~ sQ49_spl
| ~ sQ59_spl
| sQ152_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f4558,f1736,f773,f291,f254]) ).
fof(f4575,plain,
( ~ sQ356_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f233,f4300]) ).
fof(f4577,plain,
( ~ sQ347_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f233,f4088]) ).
fof(f4578,plain,
( ~ sQ346_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f233,f4083]) ).
fof(f4579,plain,
( ~ sQ329_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f233,f3520]) ).
fof(f4580,plain,
( ~ sQ330_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f233,f3525]) ).
fof(f4581,plain,
( ~ sQ213_spl
| ~ sQ42_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f233,f1579]) ).
fof(f4582,plain,
( ~ sQ298_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f233,f2656]) ).
fof(f4583,plain,
( ~ sQ214_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1585]) ).
fof(f4584,plain,
( ~ sQ288_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f233,f2547]) ).
fof(f4603,plain,
( ~ sQ42_spl
| ~ sQ278_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f2409,f233]) ).
fof(f4608,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ26_spl
| equalish(e_4,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f4373,f331]) ).
fof(f4610,plain,
( ~ sQ71_spl
| ~ sQ26_spl
| sQ152_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f4608,f4376,f773,f181,f330]) ).
fof(f4612,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ26_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f4372,f331]) ).
fof(f4614,plain,
( ~ sQ71_spl
| ~ sQ26_spl
| sQ171_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f4612,f4376,f1018,f181,f330]) ).
fof(f4617,plain,
( ~ sQ22_spl
| ~ sQ360_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f4496,f164]) ).
fof(f4620,plain,
( ~ sQ42_spl
| ~ sQ358_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f4419,f233]) ).
fof(f4621,plain,
( ~ sQ42_spl
| ~ sQ358_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f4620,f181,f4418,f232]) ).
fof(f4622,plain,
( ~ sQ59_spl
| ~ sQ274_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f2344,f292]) ).
fof(f4631,plain,
( ~ sQ98_spl
| ~ sQ300_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f2690,f422]) ).
fof(f4632,plain,
( ~ sQ22_spl
| ~ sQ361_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f4540,f164]) ).
fof(f4633,plain,
( ~ sQ22_spl
| ~ sQ361_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f4632,f141,f4539,f163]) ).
fof(f4640,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ69_spl
| equalish(e_3,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1554,f292]) ).
fof(f4643,plain,
( ~ sQ59_spl
| ~ sQ69_spl
| sQ154_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f4640,f3939,f792,f323,f291]) ).
fof(f4674,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ103_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f3387,f422]) ).
fof(f4675,plain,
! [X0] :
( ~ sQ103_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f3387,f65]) ).
fof(f4676,definition,
! [X0] :
( sQ363_spl
<=> ( ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f4677,plain,
! [X0] :
( ~ sQ363_spl
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f4676]) ).
fof(f4679,plain,
( ~ sQ98_spl
| ~ sQ103_spl
| sQ171_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f4674,f4676,f1018,f442,f421]) ).
fof(f4680,plain,
( ~ sQ103_spl
| sQ174_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f4675,f3394,f1054,f442]) ).
fof(f4681,plain,
( ~ sQ71_spl
| ~ sQ363_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f4677,f331]) ).
fof(f4682,plain,
( ~ sQ71_spl
| ~ sQ363_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f4681,f263,f4676,f330]) ).
fof(f4683,plain,
( ~ sQ39_spl
| ~ sQ347_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f223,f4577]) ).
fof(f4684,plain,
( ~ sQ39_spl
| ~ sQ347_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f4683]) ).
fof(f4685,plain,
( ~ sQ162_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f911,f65]) ).
fof(f4688,plain,
( ~ sQ199_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f1382,f65]) ).
fof(f4689,plain,
( ~ sQ71_spl
| ~ sQ353_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f4251,f331]) ).
fof(f4690,plain,
( ~ sQ98_spl
| ~ sQ184_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1167,f422]) ).
fof(f4692,plain,
( ~ sQ49_spl
| ~ sQ319_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f3334,f255]) ).
fof(f4714,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f4245,f65]) ).
fof(f4716,plain,
( ~ sQ118_spl
| sQ166_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f4714,f4260,f933,f490]) ).
fof(f4718,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f4246,f65]) ).
fof(f4720,plain,
( ~ sQ118_spl
| sQ163_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f4718,f4260,f914,f490]) ).
fof(f4721,plain,
( ~ sQ59_spl
| ~ sQ69_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1549,f292]) ).
fof(f4722,plain,
( ~ sQ59_spl
| ~ sQ69_spl
| sQ166_spl ),
inference(split_clause,[status(thm)],[f4721,f933,f323,f291]) ).
fof(f4723,plain,
( ~ sQ315_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3218,f282,f3199]) ).
fof(f4724,plain,
( ~ sQ44_spl
| ~ sQ142_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f239,f3554]) ).
fof(f4725,plain,
( ~ sQ44_spl
| ~ sQ142_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f4724]) ).
fof(f4726,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ27_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1278,f164]) ).
fof(f4727,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1278,f65]) ).
fof(f4728,definition,
! [X0] :
( sQ364_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f4729,plain,
! [X0] :
( ~ sQ364_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ),
inference(component_clause,[status(thm)],[f4728]) ).
fof(f4731,plain,
( ~ sQ22_spl
| ~ sQ27_spl
| sQ171_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f4726,f4728,f1018,f184,f163]) ).
fof(f4732,plain,
( ~ sQ27_spl
| sQ136_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f4727,f1280,f614,f184]) ).
fof(f4733,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ27_spl
| equalish(e_4,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1279,f164]) ).
fof(f4734,plain,
! [X0] :
( ~ sQ27_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1279,f65]) ).
fof(f4735,plain,
( ~ sQ22_spl
| ~ sQ27_spl
| sQ126_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f4733,f4728,f533,f184,f163]) ).
fof(f4736,plain,
( ~ sQ27_spl
| sQ152_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f4734,f1280,f773,f184]) ).
fof(f4737,plain,
( ~ sQ193_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f1281,f65]) ).
fof(f4739,plain,
( ~ sQ71_spl
| ~ sQ245_spl
| ~ product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f2027,f331]) ).
fof(f4740,plain,
( ~ sQ49_spl
| ~ sQ364_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f4729,f255]) ).
fof(f4742,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f142,f902]) ).
fof(f4745,plain,
( ~ sQ362_spl
| ~ sQ15_spl
| ~ product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f142,f4546]) ).
fof(f4746,plain,
( ~ sQ354_spl
| ~ sQ15_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f142,f4256]) ).
fof(f4747,plain,
( ~ sQ355_spl
| ~ sQ15_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f142,f4261]) ).
fof(f4748,plain,
( ~ sQ323_spl
| ~ sQ15_spl
| ~ product(e_5,e_5,e_5) ),
inference(resolution,[status(thm)],[f142,f3375]) ).
fof(f4749,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f142,f907]) ).
fof(f4750,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ15_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f142,f906]) ).
fof(f4751,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ15_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f142,f1851]) ).
fof(f4752,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ15_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f142,f1850]) ).
fof(f4754,plain,
! [X0] :
( ~ sQ15_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f142,f725]) ).
fof(f4762,plain,
( ~ sQ5_spl
| ~ sQ15_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f4742,f659,f141,f109]) ).
fof(f4763,plain,
( ~ sQ323_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4748,f65]) ).
fof(f4764,plain,
( ~ sQ323_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f4763]) ).
fof(f4765,plain,
( ~ sQ50_spl
| ~ sQ15_spl
| sQ129_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f4751,f1853,f555,f141,f263]) ).
fof(f4766,plain,
( ~ sQ50_spl
| ~ sQ15_spl
| sQ137_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f4752,f1853,f621,f141,f263]) ).
fof(f4768,plain,
( ~ sQ15_spl
| sQ139_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f4754,f739,f643,f141]) ).
fof(f4771,plain,
( ~ sQ7_spl
| ~ sQ344_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f116,f3953]) ).
fof(f4772,plain,
( ~ sQ7_spl
| ~ sQ344_spl ),
inference(contradiction_clause,[status(thm)],[f4771]) ).
fof(f4797,plain,
( ~ sQ186_spl
| ~ sQ69_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f324,f1186]) ).
fof(f4798,plain,
( ~ sQ239_spl
| ~ sQ69_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f324,f1854]) ).
fof(f4799,plain,
( ~ sQ339_spl
| ~ sQ69_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f324,f3769]) ).
fof(f4800,plain,
( ~ sQ324_spl
| ~ sQ69_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f324,f3390]) ).
fof(f4801,plain,
( ~ sQ138_spl
| ~ sQ69_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f324,f641]) ).
fof(f4802,plain,
( ~ sQ140_spl
| ~ sQ69_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f324,f656]) ).
fof(f4803,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ69_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f324,f951]) ).
fof(f4804,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ69_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f324,f952]) ).
fof(f4812,plain,
( ~ sQ324_spl
| ~ sQ69_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f4800,f263,f323,f3389]) ).
fof(f4813,plain,
( ~ sQ49_spl
| ~ sQ69_spl
| sQ135_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f4803,f3571,f607,f323,f254]) ).
fof(f4814,plain,
( ~ sQ49_spl
| ~ sQ69_spl
| sQ152_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f4804,f3571,f773,f323,f254]) ).
fof(f4817,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ35_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1184,f264]) ).
fof(f4818,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ35_spl
| equalish(e_4,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1184,f142]) ).
fof(f4820,plain,
( ~ sQ50_spl
| ~ sQ35_spl
| sQ152_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f4817,f3276,f773,f210,f263]) ).
fof(f4821,plain,
( ~ sQ15_spl
| ~ sQ35_spl
| sQ126_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f4818,f1185,f533,f210,f141]) ).
fof(f4823,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ35_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1183,f264]) ).
fof(f4824,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ35_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1183,f142]) ).
fof(f4826,plain,
( ~ sQ50_spl
| ~ sQ35_spl
| sQ129_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f4823,f3276,f555,f210,f263]) ).
fof(f4827,plain,
( ~ sQ15_spl
| ~ sQ35_spl
| sQ144_spl
| sQ186_spl ),
inference(split_clause,[status(thm)],[f4824,f1185,f685,f210,f141]) ).
fof(f4842,plain,
( ~ sQ98_spl
| ~ sQ300_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f2690,f422]) ).
fof(f4844,plain,
( ~ sQ69_spl
| ~ sQ260_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f2176,f324]) ).
fof(f4847,plain,
( ~ sQ98_spl
| ~ sQ333_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f3572,f422]) ).
fof(f4848,plain,
( ~ sQ22_spl
| ~ sQ331_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f3532,f164]) ).
fof(f4850,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ80_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2257,f264]) ).
fof(f4851,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ80_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2257,f142]) ).
fof(f4853,plain,
( ~ sQ50_spl
| ~ sQ80_spl
| sQ126_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f4850,f2231,f533,f364,f263]) ).
fof(f4854,definition,
! [X0] :
( sQ365_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f4855,plain,
! [X0] :
( ~ sQ365_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f4854]) ).
fof(f4857,plain,
( ~ sQ15_spl
| ~ sQ80_spl
| sQ141_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f4851,f4854,f659,f364,f141]) ).
fof(f4859,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ80_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2258,f264]) ).
fof(f4860,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ80_spl
| equalish(e_2,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2258,f142]) ).
fof(f4862,plain,
( ~ sQ50_spl
| ~ sQ80_spl
| sQ157_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f4859,f2231,f817,f364,f263]) ).
fof(f4863,plain,
( ~ sQ15_spl
| ~ sQ80_spl
| sQ132_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f4860,f4854,f577,f364,f141]) ).
fof(f4873,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| equalish(e_5,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f768,f422]) ).
fof(f4875,plain,
( ~ sQ98_spl
| ~ sQ13_spl
| sQ137_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f4873,f1983,f621,f134,f421]) ).
fof(f4877,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ13_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f767,f422]) ).
fof(f4879,plain,
( ~ sQ98_spl
| ~ sQ13_spl
| sQ130_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f4877,f1983,f559,f134,f421]) ).
fof(f4881,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ7_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f884,f164]) ).
fof(f4882,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f884,f65]) ).
fof(f4883,definition,
! [X0] :
( sQ366_spl
<=> ( ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f4884,plain,
! [X0] :
( ~ sQ366_spl
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f4883]) ).
fof(f4886,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| sQ127_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f4881,f4883,f537,f115,f163]) ).
fof(f4887,plain,
( ~ sQ7_spl
| sQ152_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f4882,f1633,f773,f115]) ).
fof(f4888,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ7_spl
| equalish(e_5,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f885,f164]) ).
fof(f4889,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f885,f65]) ).
fof(f4890,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| sQ139_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f4888,f4883,f643,f115,f163]) ).
fof(f4891,plain,
( ~ sQ7_spl
| sQ136_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f4889,f1633,f614,f115]) ).
fof(f4892,plain,
( ~ sQ15_spl
| ~ sQ280_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f2457,f142]) ).
fof(f4895,plain,
( ~ sQ15_spl
| ~ sQ322_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f3370,f142]) ).
fof(f4896,plain,
( ~ sQ15_spl
| ~ sQ322_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f4895,f115,f3369,f141]) ).
fof(f4898,plain,
( ~ sQ69_spl
| ~ sQ229_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1756,f324]) ).
fof(f4899,plain,
( ~ sQ98_spl
| ~ sQ227_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1737,f422]) ).
fof(f4900,plain,
( ~ sQ69_spl
| ~ sQ365_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f4855,f324]) ).
fof(f4901,plain,
( ~ sQ69_spl
| ~ sQ365_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4900,f282,f4854,f323]) ).
fof(f4903,plain,
( ~ sQ49_spl
| ~ sQ366_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f4884,f255]) ).
fof(f4908,plain,
( ~ sQ98_spl
| ~ sQ184_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1167,f422]) ).
fof(f4909,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_3,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1554,f324]) ).
fof(f4912,plain,
( ~ sQ69_spl
| sQ154_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f4909,f4092,f792,f323]) ).
fof(f4915,plain,
! [X0] :
( ~ sQ69_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1553,f324]) ).
fof(f4918,plain,
( ~ sQ69_spl
| sQ146_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f4915,f4092,f714,f323]) ).
fof(f4921,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ56_spl
| equalish(e_3,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1724,f331]) ).
fof(f4922,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1724,f65]) ).
fof(f4923,definition,
! [X0] :
( sQ367_spl
<=> ( ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f4924,plain,
! [X0] :
( ~ sQ367_spl
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_4,e_3) ),
inference(component_clause,[status(thm)],[f4923]) ).
fof(f4926,plain,
( ~ sQ71_spl
| ~ sQ56_spl
| sQ154_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f4921,f4923,f792,f282,f330]) ).
fof(f4927,plain,
( ~ sQ56_spl
| sQ144_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f4922,f1741,f685,f282]) ).
fof(f4929,plain,
! [X0] :
( ~ sQ56_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1723,f65]) ).
fof(f4931,plain,
( ~ sQ56_spl
| sQ141_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f4929,f1741,f659,f282]) ).
fof(f4952,plain,
( ~ sQ22_spl
| ~ sQ367_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f4924,f164]) ).
fof(f4953,plain,
( ~ sQ22_spl
| ~ sQ367_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f4952,f115,f4923,f163]) ).
fof(f4954,plain,
( ~ sQ68_spl
| ~ sQ250_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f321,f3885]) ).
fof(f4955,plain,
( ~ sQ68_spl
| ~ sQ250_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f4954]) ).
fof(f4956,plain,
( ~ sQ117_spl
| ~ sQ348_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f4101]) ).
fof(f4957,plain,
( ~ sQ117_spl
| ~ sQ348_spl ),
inference(contradiction_clause,[status(thm)],[f4956]) ).
fof(f4962,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ77_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f355,f1278]) ).
fof(f4963,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ77_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f355,f550]) ).
fof(f4964,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ77_spl
| equalish(e_5,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f355,f551]) ).
fof(f4965,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f355,f64]) ).
fof(f4966,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_5,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f355,f62]) ).
fof(f4967,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,X0)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f355,f60]) ).
fof(f4968,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f355,f71]) ).
fof(f4969,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f355,f70]) ).
fof(f4970,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f355,f69]) ).
fof(f4971,plain,
! [X0,X1,X2] :
( ~ sQ77_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f355,f67]) ).
fof(f4972,plain,
( ~ sQ27_spl
| ~ sQ77_spl
| sQ139_spl
| sQ275_spl ),
inference(split_clause,[status(thm)],[f4962,f2348,f643,f354,f184]) ).
fof(f4973,definition,
! [X0] :
( sQ368_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f4974,plain,
! [X0] :
( ~ sQ368_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f4973]) ).
fof(f4976,plain,
( ~ sQ22_spl
| ~ sQ77_spl
| sQ148_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f4963,f4973,f729,f354,f163]) ).
fof(f4977,plain,
( ~ sQ22_spl
| ~ sQ77_spl
| sQ137_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f4964,f4973,f621,f354,f163]) ).
fof(f4978,definition,
! [X0] :
( sQ369_spl
<=> ( ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f4979,plain,
! [X0] :
( ~ sQ369_spl
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f4978]) ).
fof(f4981,plain,
( ~ sQ77_spl
| sQ144_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f4968,f4978,f685,f354]) ).
fof(f4982,plain,
( ~ sQ77_spl
| sQ129_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f4969,f4978,f555,f354]) ).
fof(f4983,plain,
( ~ sQ101_spl
| ~ sQ328_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f437,f3437]) ).
fof(f4984,plain,
( ~ sQ101_spl
| ~ sQ328_spl ),
inference(contradiction_clause,[status(thm)],[f4983]) ).
fof(f4985,plain,
( ~ sQ49_spl
| ~ sQ44_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f239,f947]) ).
fof(f4986,plain,
( ~ sQ186_spl
| ~ sQ44_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f239,f1186]) ).
fof(f4987,plain,
( ~ sQ239_spl
| ~ sQ44_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f239,f1854]) ).
fof(f4988,plain,
( ~ sQ339_spl
| ~ sQ44_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f239,f3769]) ).
fof(f4989,plain,
( ~ sQ138_spl
| ~ sQ44_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f239,f641]) ).
fof(f4990,plain,
( ~ sQ140_spl
| ~ sQ44_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f239,f656]) ).
fof(f4991,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ44_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f239,f951]) ).
fof(f4992,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ44_spl
| equalish(e_4,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f239,f952]) ).
fof(f4993,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_4,X0)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f239,f64]) ).
fof(f4994,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_2,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f239,f62]) ).
fof(f4995,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,X0)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f239,f60]) ).
fof(f4996,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f239,f71]) ).
fof(f4997,plain,
! [X0] :
( ~ sQ44_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f239,f70]) ).
fof(f4998,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f239,f69]) ).
fof(f4999,plain,
! [X0,X1,X2] :
( ~ sQ44_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f239,f67]) ).
fof(f5000,plain,
( ~ sQ49_spl
| ~ sQ44_spl
| sQ135_spl ),
inference(split_clause,[status(thm)],[f4985,f607,f238,f254]) ).
fof(f5001,plain,
( ~ sQ239_spl
| ~ sQ44_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f4987,f184,f238,f1853]) ).
fof(f5002,plain,
( ~ sQ339_spl
| ~ sQ44_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f4988,f210,f238,f3768]) ).
fof(f5003,plain,
( ~ sQ140_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4990,f65]) ).
fof(f5004,plain,
( ~ sQ140_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f5003]) ).
fof(f5028,plain,
( ~ sQ315_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f3200,f65]) ).
fof(f5031,plain,
( ~ sQ98_spl
| ~ sQ300_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f2690,f422]) ).
fof(f5033,plain,
( ~ sQ71_spl
| ~ sQ359_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f4446,f331]) ).
fof(f5034,plain,
( ~ sQ15_spl
| ~ sQ280_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f2457,f142]) ).
fof(f5036,plain,
( ~ sQ22_spl
| ~ sQ331_spl
| ~ product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f3532,f164]) ).
fof(f5037,plain,
( ~ sQ98_spl
| ~ sQ333_spl
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f3572,f422]) ).
fof(f5058,plain,
( ~ sQ369_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f4979,f65]) ).
fof(f5059,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f4971,f355]) ).
fof(f5060,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ77_spl
| equalish(e_2,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f4971,f164]) ).
fof(f5061,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f4971,f65]) ).
fof(f5062,plain,
( ~ sQ77_spl
| sQ146_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f5059,f3430,f714,f354]) ).
fof(f5063,plain,
( ~ sQ22_spl
| ~ sQ77_spl
| sQ132_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f5060,f4973,f577,f354,f163]) ).
fof(f5064,plain,
( ~ sQ77_spl
| sQ157_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f5061,f4978,f817,f354]) ).
fof(f5065,plain,
( ~ sQ49_spl
| ~ sQ368_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f4974,f255]) ).
fof(f5066,plain,
( ~ sQ49_spl
| ~ sQ368_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f5065,f181,f4973,f254]) ).
fof(f5067,plain,
( ~ sQ254_spl
| ~ sQ36_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f4107,f184,f213,f2130]) ).
fof(f5068,plain,
( ~ sQ89_spl
| ~ sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f393,f846]) ).
fof(f5069,plain,
( ~ sQ89_spl
| ~ sQ159_spl ),
inference(contradiction_clause,[status(thm)],[f5068]) ).
fof(f5074,plain,
( ~ sQ22_spl
| ~ sQ361_spl
| ~ product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f4540,f164]) ).
fof(f5076,plain,
( ~ sQ98_spl
| ~ sQ184_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1167,f422]) ).
fof(f5080,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f4970,f355]) ).
fof(f5081,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ77_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f4970,f164]) ).
fof(f5082,plain,
! [X0] :
( ~ sQ77_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f4970,f65]) ).
fof(f5083,plain,
( ~ sQ77_spl
| sQ139_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f5080,f3430,f643,f354]) ).
fof(f5084,plain,
( ~ sQ22_spl
| ~ sQ77_spl
| sQ171_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f5081,f4973,f1018,f354,f163]) ).
fof(f5085,plain,
( ~ sQ77_spl
| sQ136_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f5082,f4978,f614,f354]) ).
fof(f5094,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ40_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1104,f264]) ).
fof(f5096,plain,
( ~ sQ50_spl
| ~ sQ40_spl
| sQ152_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f5094,f1798,f773,f226,f263]) ).
fof(f5098,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ40_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1103,f264]) ).
fof(f5100,plain,
( ~ sQ50_spl
| ~ sQ40_spl
| sQ132_spl
| sQ233_spl ),
inference(split_clause,[status(thm)],[f5098,f1798,f577,f226,f263]) ).
fof(f5114,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ10_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f831,f264]) ).
fof(f5116,plain,
( ~ sQ50_spl
| ~ sQ10_spl
| sQ136_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f5114,f1827,f614,f125,f263]) ).
fof(f5118,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ10_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f830,f264]) ).
fof(f5120,plain,
( ~ sQ50_spl
| ~ sQ10_spl
| sQ129_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f5118,f1827,f555,f125,f263]) ).
fof(f5128,plain,
( ~ sQ326_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f113,f3420]) ).
fof(f5129,plain,
( ~ sQ267_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f113,f2266]) ).
fof(f5130,plain,
( ~ sQ263_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f113,f2232]) ).
fof(f5131,plain,
( ~ sQ266_spl
| ~ sQ6_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f113,f2261]) ).
fof(f5157,plain,
( ~ sQ198_spl
| ~ sQ59_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f292,f1377]) ).
fof(f5158,plain,
( ~ sQ235_spl
| ~ sQ59_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f292,f1823]) ).
fof(f5166,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f292,f69]) ).
fof(f5167,plain,
! [X0,X1,X2] :
( ~ sQ59_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_3)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f292,f67]) ).
fof(f5175,plain,
( ~ sQ289_spl
| ~ sQ80_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f365,f2552]) ).
fof(f5176,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ80_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f365,f830]) ).
fof(f5177,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ80_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f365,f831]) ).
fof(f5178,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ80_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f365,f1103]) ).
fof(f5179,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ80_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f365,f1104]) ).
fof(f5180,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f365,f2258]) ).
fof(f5181,plain,
! [X0] :
( ~ sQ80_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f365,f2257]) ).
fof(f5182,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ80_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f365,f1851]) ).
fof(f5183,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ80_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f365,f1850]) ).
fof(f5191,plain,
( ~ sQ10_spl
| ~ sQ80_spl
| sQ176_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f5176,f4177,f1062,f364,f125]) ).
fof(f5192,plain,
( ~ sQ10_spl
| ~ sQ80_spl
| sQ137_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f5177,f4177,f621,f364,f125]) ).
fof(f5193,definition,
! [X0] :
( sQ370_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f5194,plain,
! [X0] :
( ~ sQ370_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f5193]) ).
fof(f5196,plain,
( ~ sQ40_spl
| ~ sQ80_spl
| sQ166_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f5178,f5193,f933,f364,f226]) ).
fof(f5197,plain,
( ~ sQ40_spl
| ~ sQ80_spl
| sQ141_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f5179,f5193,f659,f364,f226]) ).
fof(f5198,definition,
! [X0] :
( sQ371_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f5199,plain,
! [X0] :
( ~ sQ371_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_2) ),
inference(component_clause,[status(thm)],[f5198]) ).
fof(f5201,plain,
( ~ sQ80_spl
| sQ146_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f5180,f5198,f714,f364]) ).
fof(f5202,plain,
( ~ sQ80_spl
| sQ161_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f5181,f5198,f873,f364]) ).
fof(f5203,plain,
( ~ sQ50_spl
| ~ sQ80_spl
| sQ144_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f5182,f2231,f685,f364,f263]) ).
fof(f5204,plain,
( ~ sQ50_spl
| ~ sQ80_spl
| sQ174_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f5183,f2231,f1054,f364,f263]) ).
fof(f5207,plain,
! [X0] :
( ~ sQ371_spl
| ~ product(X0,e_4,e_2) ),
inference(duplicate_literals_removal,[status(thm)],[f5199]) ).
fof(f5208,plain,
( ~ sQ6_spl
| ~ sQ371_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f113,f5207]) ).
fof(f5209,plain,
( ~ sQ6_spl
| ~ sQ371_spl ),
inference(contradiction_clause,[status(thm)],[f5208]) ).
fof(f5210,plain,
( ~ sQ36_spl
| ~ sQ111_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f469,f1157]) ).
fof(f5211,plain,
( ~ sQ255_spl
| ~ sQ111_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f469,f2136]) ).
fof(f5212,plain,
( ~ sQ327_spl
| ~ sQ111_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f469,f3426]) ).
fof(f5213,plain,
( ~ sQ259_spl
| ~ sQ111_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f469,f2171]) ).
fof(f5214,plain,
( ~ sQ258_spl
| ~ sQ111_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f469,f2166]) ).
fof(f5215,plain,
( ~ sQ316_spl
| ~ sQ111_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f469,f3272]) ).
fof(f5216,plain,
( ~ sQ352_spl
| ~ sQ111_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f469,f4217]) ).
fof(f5217,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ111_spl
| equalish(e_4,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f469,f1163]) ).
fof(f5218,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ111_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f469,f1162]) ).
fof(f5219,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ111_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f469,f896]) ).
fof(f5220,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ111_spl
| equalish(e_5,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f469,f897]) ).
fof(f5221,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ111_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f469,f1491]) ).
fof(f5222,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ111_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f469,f1490]) ).
fof(f5223,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_1,X0)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f469,f64]) ).
fof(f5224,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f469,f62]) ).
fof(f5225,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,X0)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f469,f60]) ).
fof(f5226,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f469,f71]) ).
fof(f5227,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f469,f70]) ).
fof(f5228,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f469,f69]) ).
fof(f5229,plain,
! [X0,X1,X2] :
( ~ sQ111_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f469,f67]) ).
fof(f5230,plain,
( ~ sQ36_spl
| ~ sQ111_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f5210,f537,f468,f213]) ).
fof(f5231,plain,
( ~ sQ327_spl
| ~ sQ111_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f5212,f436,f468,f3425]) ).
fof(f5232,definition,
! [X0] :
( sQ372_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f5233,plain,
! [X0] :
( ~ sQ372_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f5232]) ).
fof(f5235,plain,
( ~ sQ36_spl
| ~ sQ111_spl
| sQ127_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f5217,f5232,f537,f468,f213]) ).
fof(f5236,plain,
( ~ sQ36_spl
| ~ sQ111_spl
| sQ154_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f5218,f5232,f792,f468,f213]) ).
fof(f5237,plain,
( ~ sQ6_spl
| ~ sQ111_spl
| sQ152_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f5219,f2505,f773,f468,f112]) ).
fof(f5238,plain,
( ~ sQ6_spl
| ~ sQ111_spl
| sQ171_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f5220,f2505,f1018,f468,f112]) ).
fof(f5239,definition,
! [X0] :
( sQ373_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f5240,plain,
! [X0] :
( ~ sQ373_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f5239]) ).
fof(f5242,plain,
( ~ sQ71_spl
| ~ sQ111_spl
| sQ130_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f5221,f5239,f559,f468,f330]) ).
fof(f5243,plain,
( ~ sQ71_spl
| ~ sQ111_spl
| sQ134_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f5222,f5239,f600,f468,f330]) ).
fof(f5244,definition,
! [X0] :
( sQ374_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f5245,plain,
! [X0] :
( ~ sQ374_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f5244]) ).
fof(f5247,plain,
( ~ sQ111_spl
| sQ133_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f5226,f5244,f581,f468]) ).
fof(f5248,plain,
( ~ sQ111_spl
| sQ157_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f5227,f5244,f817,f468]) ).
fof(f5249,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ107_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f456,f1278]) ).
fof(f5250,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ107_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f456,f1279]) ).
fof(f5251,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ107_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f456,f4970]) ).
fof(f5252,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ107_spl
| equalish(e_2,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f456,f4971]) ).
fof(f5253,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ107_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f456,f550]) ).
fof(f5254,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ107_spl
| equalish(e_5,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f456,f551]) ).
fof(f5255,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_1,X0)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f456,f64]) ).
fof(f5256,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f456,f62]) ).
fof(f5257,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,X0)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f456,f60]) ).
fof(f5258,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f456,f71]) ).
fof(f5259,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f456,f70]) ).
fof(f5260,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f456,f69]) ).
fof(f5261,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f456,f67]) ).
fof(f5262,plain,
( ~ sQ27_spl
| ~ sQ107_spl
| sQ174_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f5249,f2556,f1054,f455,f184]) ).
fof(f5263,plain,
( ~ sQ27_spl
| ~ sQ107_spl
| sQ127_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f5250,f2556,f537,f455,f184]) ).
fof(f5264,definition,
! [X0] :
( sQ375_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f5265,plain,
! [X0] :
( ~ sQ375_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f5264]) ).
fof(f5267,plain,
( ~ sQ77_spl
| ~ sQ107_spl
| sQ174_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f5251,f5264,f1054,f455,f354]) ).
fof(f5268,plain,
( ~ sQ77_spl
| ~ sQ107_spl
| sQ133_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f5252,f5264,f581,f455,f354]) ).
fof(f5269,definition,
! [X0] :
( sQ376_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f5270,plain,
! [X0] :
( ~ sQ376_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f5269]) ).
fof(f5272,plain,
( ~ sQ22_spl
| ~ sQ107_spl
| sQ163_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f5253,f5269,f914,f455,f163]) ).
fof(f5273,plain,
( ~ sQ22_spl
| ~ sQ107_spl
| sQ171_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f5254,f5269,f1018,f455,f163]) ).
fof(f5274,definition,
! [X0] :
( sQ377_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f5275,plain,
! [X0] :
( ~ sQ377_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f5274]) ).
fof(f5277,plain,
( ~ sQ107_spl
| sQ130_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f5258,f5274,f559,f455]) ).
fof(f5278,plain,
( ~ sQ107_spl
| sQ176_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f5259,f5274,f1062,f455]) ).
fof(f5280,plain,
( ~ sQ49_spl
| ~ sQ341_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f3808,f255]) ).
fof(f5281,plain,
( ~ sQ98_spl
| ~ sQ264_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f2237,f422]) ).
fof(f5295,plain,
( ~ sQ374_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f5245,f65]) ).
fof(f5300,plain,
( ~ sQ22_spl
| ~ sQ373_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f5240,f164]) ).
fof(f5301,plain,
( ~ sQ22_spl
| ~ sQ373_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f5300,f125,f5239,f163]) ).
fof(f5303,plain,
( ~ sQ22_spl
| ~ sQ210_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f1530,f164]) ).
fof(f5304,plain,
( ~ sQ107_spl
| ~ sQ269_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f2286,f456]) ).
fof(f5305,plain,
( ~ sQ107_spl
| ~ sQ269_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f5304,f436,f2285,f455]) ).
fof(f5309,plain,
( ~ sQ107_spl
| ~ sQ221_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f1677,f456]) ).
fof(f5310,plain,
( ~ sQ107_spl
| ~ sQ336_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f3732,f456]) ).
fof(f5311,plain,
( ~ sQ80_spl
| ~ sQ375_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f5265,f365]) ).
fof(f5312,plain,
( ~ sQ49_spl
| ~ sQ376_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f5270,f255]) ).
fof(f5313,plain,
( ~ sQ377_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f5275,f65]) ).
fof(f5314,plain,
( ~ sQ80_spl
| ~ sQ290_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f2557,f365]) ).
fof(f5339,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f5260,f456]) ).
fof(f5340,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ107_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f5260,f355]) ).
fof(f5341,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ107_spl
| equalish(e_4,e_1)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f5260,f164]) ).
fof(f5342,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f5260,f65]) ).
fof(f5343,definition,
! [X0] :
( sQ378_spl
<=> ( ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f5344,plain,
! [X0] :
( ~ sQ378_spl
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f5343]) ).
fof(f5346,plain,
( ~ sQ107_spl
| sQ161_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f5339,f5343,f873,f455]) ).
fof(f5347,plain,
( ~ sQ77_spl
| ~ sQ107_spl
| sQ126_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f5340,f5264,f533,f455,f354]) ).
fof(f5348,plain,
( ~ sQ22_spl
| ~ sQ107_spl
| sQ127_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f5341,f5269,f537,f455,f163]) ).
fof(f5349,plain,
( ~ sQ107_spl
| sQ152_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f5342,f5274,f773,f455]) ).
fof(f5350,plain,
! [X0] :
( ~ sQ378_spl
| ~ product(X0,e_4,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f5344]) ).
fof(f5351,plain,
( ~ sQ80_spl
| ~ sQ378_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f365,f5350]) ).
fof(f5352,plain,
( ~ sQ80_spl
| ~ sQ378_spl ),
inference(contradiction_clause,[status(thm)],[f5351]) ).
fof(f5353,plain,
( ~ sQ377_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f5275,f65]) ).
fof(f5354,plain,
( ~ sQ49_spl
| ~ sQ376_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f5270,f255]) ).
fof(f5356,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_1,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f5261,f456]) ).
fof(f5357,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ107_spl
| equalish(e_1,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f5261,f355]) ).
fof(f5358,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ107_spl
| equalish(e_1,e_5)
| ~ product(X0,e_1,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f5261,f164]) ).
fof(f5359,plain,
! [X0] :
( ~ sQ107_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f5261,f65]) ).
fof(f5360,plain,
( ~ sQ107_spl
| sQ170_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f5356,f5343,f1006,f455]) ).
fof(f5361,plain,
( ~ sQ77_spl
| ~ sQ107_spl
| sQ135_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f5357,f5264,f607,f455,f354]) ).
fof(f5362,plain,
( ~ sQ22_spl
| ~ sQ107_spl
| sQ148_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f5358,f5269,f729,f455,f163]) ).
fof(f5363,plain,
( ~ sQ107_spl
| sQ134_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f5359,f5274,f600,f455]) ).
fof(f5372,plain,
( ~ sQ77_spl
| ~ sQ27_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1273,f355]) ).
fof(f5373,plain,
( ~ sQ77_spl
| ~ sQ27_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f5372,f659,f184,f354]) ).
fof(f5374,plain,
( ~ sQ78_spl
| ~ sQ80_spl
| ~ sQ290_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f358,f5314]) ).
fof(f5375,plain,
( ~ sQ78_spl
| ~ sQ80_spl
| ~ sQ290_spl ),
inference(contradiction_clause,[status(thm)],[f5374]) ).
fof(f5376,plain,
( ~ sQ223_spl
| ~ sQ68_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f321,f1701]) ).
fof(f5377,plain,
( ~ sQ179_spl
| ~ sQ68_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f321,f1107]) ).
fof(f5378,plain,
( ~ sQ370_spl
| ~ sQ68_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f321,f5194]) ).
fof(f5379,plain,
( ~ sQ18_spl
| ~ sQ68_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f321,f648]) ).
fof(f5380,plain,
( ~ sQ233_spl
| ~ sQ68_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f321,f1799]) ).
fof(f5381,plain,
( ~ sQ262_spl
| ~ sQ68_spl
| ~ product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f321,f2199]) ).
fof(f5382,plain,
( ~ sQ172_spl
| ~ sQ68_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f321,f1038]) ).
fof(f5383,plain,
( ~ sQ175_spl
| ~ sQ68_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f321,f1060]) ).
fof(f5384,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ68_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f321,f653]) ).
fof(f5385,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ68_spl
| equalish(e_5,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f321,f654]) ).
fof(f5386,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ68_spl
| equalish(e_1,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f321,f3762]) ).
fof(f5387,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ68_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f321,f3761]) ).
fof(f5388,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ68_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f321,f1934]) ).
fof(f5389,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ68_spl
| equalish(e_2,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f321,f1935]) ).
fof(f5390,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_3,X0)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f321,f64]) ).
fof(f5391,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_2,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f321,f62]) ).
fof(f5392,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,X0)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f321,f60]) ).
fof(f5393,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,e_3)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f321,f71]) ).
fof(f5394,plain,
! [X0] :
( ~ sQ68_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f321,f70]) ).
fof(f5395,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(e_2,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f321,f69]) ).
fof(f5396,plain,
! [X0,X1,X2] :
( ~ sQ68_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_2,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f321,f67]) ).
fof(f5397,plain,
( ~ sQ18_spl
| ~ sQ68_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f5379,f614,f320,f150]) ).
fof(f5398,plain,
( ~ sQ175_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5383,f65]) ).
fof(f5399,plain,
( ~ sQ175_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f5398]) ).
fof(f5400,plain,
( ~ sQ198_spl
| ~ sQ59_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f5157,f272,f291,f1376]) ).
fof(f5402,plain,
( ~ sQ374_spl
| ~ sQ85_spl ),
inference(split_clause,[status(thm)],[f5295,f380,f5244]) ).
fof(f5403,plain,
( ~ sQ258_spl
| ~ sQ111_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f5214,f461,f468,f2165]) ).
fof(f5437,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ119_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f3360,f292]) ).
fof(f5438,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ119_spl
| equalish(e_2,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f3360,f255]) ).
fof(f5439,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f3360,f65]) ).
fof(f5440,plain,
( ~ sQ59_spl
| ~ sQ119_spl
| sQ166_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f5437,f3369,f933,f493,f291]) ).
fof(f5441,plain,
( ~ sQ49_spl
| ~ sQ119_spl
| sQ133_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f5438,f3364,f581,f493,f254]) ).
fof(f5442,plain,
( ~ sQ119_spl
| sQ132_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f5439,f3374,f577,f493]) ).
fof(f5443,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ119_spl
| equalish(e_1,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f3361,f292]) ).
fof(f5444,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ119_spl
| equalish(e_1,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f3361,f255]) ).
fof(f5445,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f3361,f65]) ).
fof(f5446,plain,
( ~ sQ59_spl
| ~ sQ119_spl
| sQ134_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f5443,f3369,f600,f493,f291]) ).
fof(f5447,plain,
( ~ sQ49_spl
| ~ sQ119_spl
| sQ163_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f5444,f3364,f914,f493,f254]) ).
fof(f5448,plain,
( ~ sQ119_spl
| sQ148_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f5445,f3374,f729,f493]) ).
fof(f5449,plain,
( ~ sQ49_spl
| ~ sQ368_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f4974,f255]) ).
fof(f5455,plain,
( ~ sQ179_spl
| ~ sQ18_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f151,f1107]) ).
fof(f5456,plain,
( ~ sQ370_spl
| ~ sQ18_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f151,f5194]) ).
fof(f5458,plain,
( ~ sQ262_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f151,f2199]) ).
fof(f5459,plain,
( ~ sQ172_spl
| ~ sQ18_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f151,f1038]) ).
fof(f5460,plain,
( ~ sQ175_spl
| ~ sQ18_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f151,f1060]) ).
fof(f5472,plain,
( ~ sQ370_spl
| ~ sQ18_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f5456,f112,f150,f5193]) ).
fof(f5481,plain,
( ~ sQ22_spl
| ~ sQ373_spl
| ~ product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f5240,f164]) ).
fof(f5507,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f5228,f65]) ).
fof(f5509,plain,
( ~ sQ111_spl
| sQ144_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f5507,f5244,f685,f468]) ).
fof(f5511,plain,
! [X0] :
( ~ sQ111_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f5229,f65]) ).
fof(f5513,plain,
( ~ sQ111_spl
| sQ135_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f5511,f5244,f607,f468]) ).
fof(f5514,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f2772,f422]) ).
fof(f5515,plain,
( ~ sQ98_spl
| ~ sQ88_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f5514,f559,f389,f421]) ).
fof(f5516,plain,
( ~ sQ261_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f2181,f65]) ).
fof(f5524,plain,
( ~ sQ294_spl
| ~ sQ25_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f179,f2603]) ).
fof(f5552,plain,
( ~ sQ322_spl
| ~ sQ65_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f312,f3370]) ).
fof(f5554,plain,
( ~ sQ323_spl
| ~ sQ65_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f312,f3375]) ).
fof(f5555,plain,
( ~ sQ354_spl
| ~ sQ65_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f312,f4256]) ).
fof(f5556,plain,
( ~ sQ280_spl
| ~ sQ65_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f312,f2457]) ).
fof(f5557,plain,
( ~ sQ362_spl
| ~ sQ65_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f312,f4546]) ).
fof(f5558,plain,
( ~ sQ355_spl
| ~ sQ65_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f312,f4261]) ).
fof(f5586,plain,
( ~ sQ335_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f233,f3698]) ).
fof(f5588,plain,
( ~ sQ288_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f233,f2547]) ).
fof(f5589,plain,
( ~ sQ343_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f233,f3940]) ).
fof(f5591,plain,
( ~ sQ346_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f233,f4083]) ).
fof(f5592,plain,
( ~ sQ278_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f233,f2409]) ).
fof(f5594,plain,
( ~ sQ329_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f233,f3520]) ).
fof(f5595,plain,
( ~ sQ330_spl
| ~ sQ42_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f233,f3525]) ).
fof(f5596,plain,
( ~ sQ213_spl
| ~ sQ42_spl
| ~ product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f233,f1579]) ).
fof(f5597,plain,
( ~ sQ298_spl
| ~ sQ42_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f233,f2656]) ).
fof(f5598,plain,
( ~ sQ214_spl
| ~ sQ42_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f233,f1585]) ).
fof(f5599,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ42_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f233,f4970]) ).
fof(f5600,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ42_spl
| equalish(e_2,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f233,f4971]) ).
fof(f5612,definition,
! [X0] :
( sQ379_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f5613,plain,
! [X0] :
( ~ sQ379_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f5612]) ).
fof(f5615,plain,
( ~ sQ77_spl
| ~ sQ42_spl
| sQ137_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f5599,f5612,f621,f232,f354]) ).
fof(f5616,plain,
( ~ sQ77_spl
| ~ sQ42_spl
| sQ166_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f5600,f5612,f933,f232,f354]) ).
fof(f5623,plain,
( ~ sQ18_spl
| ~ sQ379_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f5613,f151]) ).
fof(f5625,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f129,f892]) ).
fof(f5628,plain,
( ~ sQ334_spl
| ~ sQ11_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f129,f3693]) ).
fof(f5629,plain,
( ~ sQ255_spl
| ~ sQ11_spl
| ~ product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f129,f2136]) ).
fof(f5630,plain,
( ~ sQ259_spl
| ~ sQ11_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f129,f2171]) ).
fof(f5631,plain,
( ~ sQ316_spl
| ~ sQ11_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f129,f3272]) ).
fof(f5632,plain,
( ~ sQ352_spl
| ~ sQ11_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f129,f4217]) ).
fof(f5633,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ11_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f129,f896]) ).
fof(f5634,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ11_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f129,f897]) ).
fof(f5635,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_5,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f129,f806]) ).
fof(f5636,plain,
! [X0] :
( ~ sQ11_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f129,f805]) ).
fof(f5637,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ11_spl
| equalish(e_3,e_5)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f129,f1491]) ).
fof(f5638,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ11_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f129,f1490]) ).
fof(f5646,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f5625,f773,f128,f112]) ).
fof(f5647,definition,
! [X0] :
( sQ380_spl
<=> ( ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f5648,plain,
! [X0] :
( ~ sQ380_spl
| ~ product(X0,e_3,e_5)
| ~ product(X0,e_4,e_5) ),
inference(component_clause,[status(thm)],[f5647]) ).
fof(f5650,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| sQ152_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f5633,f5647,f773,f128,f112]) ).
fof(f5651,plain,
( ~ sQ6_spl
| ~ sQ11_spl
| sQ139_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f5634,f5647,f643,f128,f112]) ).
fof(f5652,plain,
( ~ sQ11_spl
| sQ139_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f5635,f841,f643,f128]) ).
fof(f5653,plain,
( ~ sQ11_spl
| sQ154_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f5636,f841,f792,f128]) ).
fof(f5654,plain,
( ~ sQ71_spl
| ~ sQ11_spl
| sQ129_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f5637,f1498,f555,f128,f330]) ).
fof(f5655,plain,
( ~ sQ71_spl
| ~ sQ11_spl
| sQ134_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f5638,f1498,f600,f128,f330]) ).
fof(f5663,definition,
! [X0] :
( sQ381_spl
<=> ( ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f5664,plain,
! [X0] :
( ~ sQ381_spl
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_5) ),
inference(component_clause,[status(thm)],[f5663]) ).
fof(f5669,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ13_spl
| equalish(e_5,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f768,f151]) ).
fof(f5672,plain,
( ~ sQ18_spl
| ~ sQ13_spl
| sQ139_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f5669,f5663,f643,f134,f150]) ).
fof(f5674,plain,
( ~ sQ18_spl
| ~ sQ13_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f763,f151]) ).
fof(f5675,plain,
( ~ sQ18_spl
| ~ sQ13_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f5674,f685,f134,f150]) ).
fof(f5695,plain,
( ~ sQ22_spl
| ~ sQ367_spl
| ~ product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f4924,f164]) ).
fof(f5708,plain,
( ~ sQ71_spl
| ~ sQ56_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1719,f331]) ).
fof(f5709,plain,
( ~ sQ71_spl
| ~ sQ56_spl
| sQ127_spl ),
inference(split_clause,[status(thm)],[f5708,f537,f282,f330]) ).
fof(f5710,plain,
( ~ sQ377_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f5313,f279,f5274]) ).
fof(f5713,plain,
( ~ sQ165_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f930,f65]) ).
fof(f5714,plain,
( ~ sQ147_spl
| ~ product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f727,f65]) ).
fof(f5743,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ55_spl
| equalish(e_3,e_4)
| ~ product(X0,e_5,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1754,f179]) ).
fof(f5745,plain,
( ~ sQ25_spl
| ~ sQ55_spl
| sQ176_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f5743,f2423,f1062,f279,f178]) ).
fof(f5780,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ77_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f355,f1049]) ).
fof(f5781,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ77_spl
| equalish(e_4,e_2)
| ~ product(X0,e_5,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f355,f1050]) ).
fof(f5793,plain,
( ~ sQ42_spl
| ~ sQ77_spl
| sQ132_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f5780,f5612,f577,f354,f232]) ).
fof(f5794,plain,
( ~ sQ42_spl
| ~ sQ77_spl
| sQ141_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f5781,f5612,f659,f354,f232]) ).
fof(f5799,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ53_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f273,f768]) ).
fof(f5800,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ53_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f273,f767]) ).
fof(f5801,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ53_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f273,f4245]) ).
fof(f5802,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ53_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f273,f4246]) ).
fof(f5803,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ53_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f273,f1934]) ).
fof(f5804,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ53_spl
| equalish(e_2,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f273,f1935]) ).
fof(f5805,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_3,X0)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f273,f64]) ).
fof(f5806,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_5,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f273,f62]) ).
fof(f5807,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,X0)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f273,f60]) ).
fof(f5808,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f273,f71]) ).
fof(f5809,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f273,f70]) ).
fof(f5810,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f273,f69]) ).
fof(f5811,plain,
! [X0,X1,X2] :
( ~ sQ53_spl
| equalish(e_3,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f273,f67]) ).
fof(f5812,plain,
( ~ sQ13_spl
| ~ sQ53_spl
| sQ136_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f5799,f1827,f614,f272,f134]) ).
fof(f5813,plain,
( ~ sQ13_spl
| ~ sQ53_spl
| sQ129_spl
| sQ236_spl ),
inference(split_clause,[status(thm)],[f5800,f1827,f555,f272,f134]) ).
fof(f5814,definition,
! [X0] :
( sQ382_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f5815,plain,
! [X0] :
( ~ sQ382_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f5814]) ).
fof(f5817,plain,
( ~ sQ118_spl
| ~ sQ53_spl
| sQ132_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f5801,f5814,f577,f272,f490]) ).
fof(f5818,plain,
( ~ sQ118_spl
| ~ sQ53_spl
| sQ134_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f5802,f5814,f600,f272,f490]) ).
fof(f5819,plain,
( ~ sQ98_spl
| ~ sQ53_spl
| sQ148_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f5803,f1978,f729,f272,f421]) ).
fof(f5820,plain,
( ~ sQ98_spl
| ~ sQ53_spl
| sQ157_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f5804,f1978,f817,f272,f421]) ).
fof(f5821,definition,
! [X0] :
( sQ383_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f5822,plain,
! [X0] :
( ~ sQ383_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f5821]) ).
fof(f5824,plain,
( ~ sQ53_spl
| sQ152_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f5808,f5821,f773,f272]) ).
fof(f5825,plain,
( ~ sQ53_spl
| sQ126_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f5809,f5821,f533,f272]) ).
fof(f5826,plain,
( ~ sQ49_spl
| ~ sQ39_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f223,f947]) ).
fof(f5827,plain,
( ~ sQ380_spl
| ~ sQ39_spl
| ~ product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f223,f5648]) ).
fof(f5828,plain,
( ~ sQ226_spl
| ~ sQ39_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f223,f1732]) ).
fof(f5829,plain,
( ~ sQ349_spl
| ~ sQ39_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f223,f4178]) ).
fof(f5830,plain,
( ~ sQ150_spl
| ~ sQ39_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f223,f758]) ).
fof(f5831,plain,
( ~ sQ151_spl
| ~ sQ39_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f223,f770]) ).
fof(f5832,plain,
( ~ sQ236_spl
| ~ sQ39_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f223,f1828]) ).
fof(f5833,plain,
( ~ sQ345_spl
| ~ sQ39_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f223,f3990]) ).
fof(f5834,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ39_spl
| equalish(e_3,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f223,f1554]) ).
fof(f5835,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ39_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f223,f1553]) ).
fof(f5836,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ39_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f223,f951]) ).
fof(f5837,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ39_spl
| equalish(e_4,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f223,f952]) ).
fof(f5838,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f223,f64]) ).
fof(f5839,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_3,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f223,f62]) ).
fof(f5840,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,X0)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f223,f60]) ).
fof(f5841,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f223,f71]) ).
fof(f5842,plain,
! [X0] :
( ~ sQ39_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f223,f70]) ).
fof(f5843,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f223,f69]) ).
fof(f5844,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| equalish(e_4,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_4)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f223,f67]) ).
fof(f5845,plain,
( ~ sQ49_spl
| ~ sQ39_spl
| sQ134_spl ),
inference(split_clause,[status(thm)],[f5826,f600,f222,f254]) ).
fof(f5846,plain,
( ~ sQ151_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5831,f65]) ).
fof(f5847,plain,
( ~ sQ151_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f5846]) ).
fof(f5848,plain,
( ~ sQ77_spl
| ~ sQ102_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f440,f4965]) ).
fof(f5849,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ102_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f440,f4970]) ).
fof(f5850,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ102_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f440,f4971]) ).
fof(f5851,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ102_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f440,f1049]) ).
fof(f5852,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ102_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f440,f1050]) ).
fof(f5853,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ102_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f440,f550]) ).
fof(f5854,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ102_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f440,f551]) ).
fof(f5855,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f440,f64]) ).
fof(f5856,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f440,f62]) ).
fof(f5857,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f440,f60]) ).
fof(f5858,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f440,f71]) ).
fof(f5859,plain,
! [X0] :
( ~ sQ102_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f440,f70]) ).
fof(f5860,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f440,f69]) ).
fof(f5861,plain,
! [X0,X1,X2] :
( ~ sQ102_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f440,f67]) ).
fof(f5862,plain,
( ~ sQ77_spl
| ~ sQ102_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f5848,f581,f439,f354]) ).
fof(f5863,definition,
! [X0] :
( sQ384_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f5864,plain,
! [X0] :
( ~ sQ384_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_2) ),
inference(component_clause,[status(thm)],[f5863]) ).
fof(f5866,plain,
( ~ sQ77_spl
| ~ sQ102_spl
| sQ139_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f5849,f5863,f643,f439,f354]) ).
fof(f5867,plain,
( ~ sQ77_spl
| ~ sQ102_spl
| sQ133_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f5850,f5863,f581,f439,f354]) ).
fof(f5868,definition,
! [X0] :
( sQ385_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f5869,plain,
! [X0] :
( ~ sQ385_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_4) ),
inference(component_clause,[status(thm)],[f5868]) ).
fof(f5871,plain,
( ~ sQ42_spl
| ~ sQ102_spl
| sQ132_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f5851,f5868,f577,f439,f232]) ).
fof(f5872,plain,
( ~ sQ42_spl
| ~ sQ102_spl
| sQ127_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f5852,f5868,f537,f439,f232]) ).
fof(f5873,definition,
! [X0] :
( sQ386_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f5874,plain,
! [X0] :
( ~ sQ386_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_5) ),
inference(component_clause,[status(thm)],[f5873]) ).
fof(f5876,plain,
( ~ sQ22_spl
| ~ sQ102_spl
| sQ148_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f5853,f5873,f729,f439,f163]) ).
fof(f5877,plain,
( ~ sQ22_spl
| ~ sQ102_spl
| sQ171_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f5854,f5873,f1018,f439,f163]) ).
fof(f5878,definition,
! [X0] :
( sQ387_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f5879,plain,
! [X0] :
( ~ sQ387_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_3) ),
inference(component_clause,[status(thm)],[f5878]) ).
fof(f5881,plain,
( ~ sQ102_spl
| sQ130_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f5858,f5878,f559,f439]) ).
fof(f5882,plain,
( ~ sQ102_spl
| sQ129_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f5859,f5878,f555,f439]) ).
fof(f5883,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f5810,f273]) ).
fof(f5884,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ53_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f5810,f422]) ).
fof(f5885,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f5810,f65]) ).
fof(f5886,plain,
( ~ sQ53_spl
| sQ139_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f5883,f3736,f643,f272]) ).
fof(f5887,plain,
( ~ sQ98_spl
| ~ sQ53_spl
| sQ171_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f5884,f1978,f1018,f272,f421]) ).
fof(f5888,plain,
( ~ sQ53_spl
| sQ174_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f5885,f5821,f1054,f272]) ).
fof(f5889,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_3,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f5811,f273]) ).
fof(f5890,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ53_spl
| equalish(e_3,e_2)
| ~ product(X0,e_1,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f5811,f422]) ).
fof(f5891,plain,
! [X0] :
( ~ sQ53_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f5811,f65]) ).
fof(f5892,plain,
( ~ sQ53_spl
| sQ154_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f5889,f3736,f792,f272]) ).
fof(f5893,plain,
( ~ sQ98_spl
| ~ sQ53_spl
| sQ144_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f5890,f1978,f685,f272,f421]) ).
fof(f5894,plain,
( ~ sQ53_spl
| sQ176_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f5891,f5821,f1062,f272]) ).
fof(f5895,plain,
( ~ sQ383_spl
| ~ product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f5822,f65]) ).
fof(f5900,plain,
( ~ sQ71_spl
| ~ sQ241_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f1979,f331]) ).
fof(f5901,plain,
( ~ sQ71_spl
| ~ sQ247_spl
| ~ product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f2037,f331]) ).
fof(f5902,plain,
( ~ sQ98_spl
| ~ sQ227_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1737,f422]) ).
fof(f5904,plain,
( ~ sQ42_spl
| ~ sQ347_spl
| ~ product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f4088,f233]) ).
fof(f5906,plain,
( ~ sQ185_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1172,f65]) ).
fof(f5908,plain,
( ~ sQ387_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f5879,f65]) ).
fof(f5909,plain,
( ~ sQ49_spl
| ~ sQ386_spl
| ~ product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f5874,f255]) ).
fof(f5910,plain,
( ~ sQ49_spl
| ~ sQ386_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f5909,f178,f5873,f254]) ).
fof(f5911,plain,
( ~ sQ25_spl
| ~ sQ384_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f5864,f179]) ).
fof(f5916,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ18_spl
| equalish(e_5,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f654,f273]) ).
fof(f5919,plain,
( ~ sQ53_spl
| ~ sQ18_spl
| sQ136_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f5916,f1853,f614,f150,f272]) ).
fof(f5922,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ18_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f653,f273]) ).
fof(f5925,plain,
( ~ sQ53_spl
| ~ sQ18_spl
| sQ132_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f5922,f1853,f577,f150,f272]) ).
fof(f5952,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ113_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3761,f273]) ).
fof(f5955,definition,
! [X0] :
( sQ388_spl
<=> ( ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f5956,plain,
! [X0] :
( ~ sQ388_spl
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f5955]) ).
fof(f5958,plain,
( ~ sQ53_spl
| ~ sQ113_spl
| sQ129_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f5952,f5955,f555,f474,f272]) ).
fof(f5961,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ113_spl
| equalish(e_1,e_3)
| ~ product(X0,e_5,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f3762,f273]) ).
fof(f5964,plain,
( ~ sQ53_spl
| ~ sQ113_spl
| sQ134_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f5961,f5955,f600,f474,f272]) ).
fof(f5981,plain,
( ~ sQ266_spl
| ~ sQ6_spl
| ~ product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f113,f2261]) ).
fof(f5982,plain,
( ~ sQ263_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f113,f2232]) ).
fof(f5983,plain,
( ~ sQ267_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f113,f2266]) ).
fof(f5984,plain,
( ~ sQ326_spl
| ~ sQ6_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f113,f3420]) ).
fof(f6009,plain,
( ~ sQ322_spl
| ~ sQ65_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f312,f3370]) ).
fof(f6010,plain,
( ~ sQ323_spl
| ~ sQ65_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f312,f3375]) ).
fof(f6011,plain,
( ~ sQ382_spl
| ~ sQ65_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f312,f5815]) ).
fof(f6013,plain,
( ~ sQ280_spl
| ~ sQ65_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f312,f2457]) ).
fof(f6014,plain,
( ~ sQ362_spl
| ~ sQ65_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f312,f4546]) ).
fof(f6015,plain,
( ~ sQ355_spl
| ~ sQ65_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f312,f4261]) ).
fof(f6040,plain,
( ~ sQ385_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f151,f5869]) ).
fof(f6041,plain,
( ~ sQ379_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f151,f5613]) ).
fof(f6043,plain,
( ~ sQ179_spl
| ~ sQ18_spl
| ~ product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f151,f1107]) ).
fof(f6044,plain,
( ~ sQ262_spl
| ~ sQ18_spl
| ~ product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f151,f2199]) ).
fof(f6045,plain,
( ~ sQ172_spl
| ~ sQ18_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f151,f1038]) ).
fof(f6046,plain,
( ~ sQ175_spl
| ~ sQ18_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f151,f1060]) ).
fof(f6051,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ18_spl
| equalish(e_3,e_5)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f151,f5811]) ).
fof(f6052,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ18_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f151,f5810]) ).
fof(f6066,plain,
( ~ sQ53_spl
| ~ sQ18_spl
| sQ129_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f6051,f1853,f555,f150,f272]) ).
fof(f6067,plain,
( ~ sQ53_spl
| ~ sQ18_spl
| sQ137_spl
| sQ239_spl ),
inference(split_clause,[status(thm)],[f6052,f1853,f621,f150,f272]) ).
fof(f6075,plain,
( ~ sQ274_spl
| ~ sQ59_spl
| ~ product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f292,f2344]) ).
fof(f6076,plain,
( ~ sQ235_spl
| ~ sQ59_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f292,f1823]) ).
fof(f6101,plain,
( ~ sQ334_spl
| ~ sQ36_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f214,f3693]) ).
fof(f6103,plain,
( ~ sQ259_spl
| ~ sQ36_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f214,f2171]) ).
fof(f6104,plain,
( ~ sQ316_spl
| ~ sQ36_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f214,f3272]) ).
fof(f6105,plain,
( ~ sQ352_spl
| ~ sQ36_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f214,f4217]) ).
fof(f6130,plain,
( ~ sQ388_spl
| ~ sQ10_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f126,f5956]) ).
fof(f6131,plain,
( ~ sQ372_spl
| ~ sQ10_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f126,f5233]) ).
fof(f6132,plain,
( ~ sQ340_spl
| ~ sQ10_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f126,f3774]) ).
fof(f6133,plain,
( ~ sQ320_spl
| ~ sQ10_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f126,f3340]) ).
fof(f6158,plain,
( ~ sQ197_spl
| ~ sQ113_spl
| ~ product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f475,f1354]) ).
fof(f6159,plain,
( ~ sQ318_spl
| ~ sQ113_spl
| ~ product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f475,f3284]) ).
fof(f6160,plain,
( ~ sQ317_spl
| ~ sQ113_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f475,f3277]) ).
fof(f6161,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_1,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f475,f3762]) ).
fof(f6162,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f475,f3761]) ).
fof(f6165,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ113_spl
| equalish(e_3,e_1)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f475,f5811]) ).
fof(f6166,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ113_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f475,f5810]) ).
fof(f6176,plain,
( ~ sQ318_spl
| ~ sQ113_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f6159,f436,f474,f3283]) ).
fof(f6177,definition,
! [X0] :
( sQ389_spl
<=> ( ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f6178,plain,
! [X0] :
( ~ sQ389_spl
| ~ product(X0,e_3,e_1)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f6177]) ).
fof(f6180,plain,
( ~ sQ113_spl
| sQ170_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f6161,f6177,f1006,f474]) ).
fof(f6181,plain,
( ~ sQ113_spl
| sQ154_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f6162,f6177,f792,f474]) ).
fof(f6184,plain,
( ~ sQ53_spl
| ~ sQ113_spl
| sQ130_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f6165,f5955,f559,f474,f272]) ).
fof(f6185,plain,
( ~ sQ53_spl
| ~ sQ113_spl
| sQ136_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f6166,f5955,f614,f474,f272]) ).
fof(f6190,plain,
! [X0] :
( ~ sQ389_spl
| ~ product(X0,e_3,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f6178]) ).
fof(f6191,plain,
( ~ sQ10_spl
| ~ sQ389_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f126,f6190]) ).
fof(f6192,plain,
( ~ sQ10_spl
| ~ sQ389_spl ),
inference(contradiction_clause,[status(thm)],[f6191]) ).
fof(f6193,plain,
( ~ sQ71_spl
| ~ sQ338_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f3764,f331]) ).
fof(f6217,plain,
( ~ sQ339_spl
| ~ sQ119_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f494,f3769]) ).
fof(f6221,plain,
( ~ sQ381_spl
| ~ sQ119_spl
| ~ product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f494,f5664]) ).
fof(f6225,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_1,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f494,f3361]) ).
fof(f6226,plain,
! [X0] :
( ~ sQ119_spl
| equalish(e_2,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f494,f3360]) ).
fof(f6238,definition,
! [X0] :
( sQ390_spl
<=> ( ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f6239,plain,
! [X0] :
( ~ sQ390_spl
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f6238]) ).
fof(f6241,plain,
( ~ sQ119_spl
| sQ170_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f6225,f6238,f1006,f493]) ).
fof(f6242,plain,
( ~ sQ119_spl
| sQ146_spl
| sQ390_spl ),
inference(split_clause,[status(thm)],[f6226,f6238,f714,f493]) ).
fof(f6249,plain,
! [X0] :
( ~ sQ390_spl
| ~ product(X0,e_2,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f6239]) ).
fof(f6250,plain,
( ~ sQ65_spl
| ~ sQ390_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f312,f6249]) ).
fof(f6251,plain,
( ~ sQ65_spl
| ~ sQ390_spl ),
inference(contradiction_clause,[status(thm)],[f6250]) ).
fof(f6269,plain,
( ~ sQ98_spl
| ~ sQ321_spl
| ~ product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f3365,f422]) ).
fof(f6270,plain,
( ~ sQ380_spl
| ~ sQ89_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f393,f5648]) ).
fof(f6271,plain,
( ~ sQ226_spl
| ~ sQ89_spl
| ~ product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f393,f1732]) ).
fof(f6272,plain,
( ~ sQ349_spl
| ~ sQ89_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f393,f4178]) ).
fof(f6273,plain,
( ~ sQ150_spl
| ~ sQ89_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f393,f758]) ).
fof(f6274,plain,
( ~ sQ236_spl
| ~ sQ89_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f393,f1828]) ).
fof(f6275,plain,
( ~ sQ345_spl
| ~ sQ89_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f393,f3990]) ).
fof(f6276,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ89_spl
| equalish(e_2,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f393,f3360]) ).
fof(f6277,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ89_spl
| equalish(e_1,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f393,f3361]) ).
fof(f6278,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ89_spl
| equalish(e_4,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f393,f5166]) ).
fof(f6279,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ89_spl
| equalish(e_3,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f393,f5167]) ).
fof(f6280,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ89_spl
| equalish(e_1,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f393,f951]) ).
fof(f6281,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ89_spl
| equalish(e_4,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f393,f952]) ).
fof(f6282,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_2,X0)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f393,f64]) ).
fof(f6283,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f393,f62]) ).
fof(f6284,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f393,f60]) ).
fof(f6285,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f393,f71]) ).
fof(f6286,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f393,f70]) ).
fof(f6287,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| equalish(e_3,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f393,f69]) ).
fof(f6288,plain,
! [X0,X1,X2] :
( ~ sQ89_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_3,e_2)
| ~ product(X0,X1,e_5) ),
inference(resolution,[status(thm)],[f393,f67]) ).
fof(f6289,plain,
( ~ sQ236_spl
| ~ sQ89_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f6274,f354,f392,f1827]) ).
fof(f6290,definition,
! [X0] :
( sQ391_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f6291,plain,
! [X0] :
( ~ sQ391_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_2,e_1) ),
inference(component_clause,[status(thm)],[f6290]) ).
fof(f6293,plain,
( ~ sQ119_spl
| ~ sQ89_spl
| sQ157_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f6276,f6290,f817,f392,f493]) ).
fof(f6294,plain,
( ~ sQ119_spl
| ~ sQ89_spl
| sQ135_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f6277,f6290,f607,f392,f493]) ).
fof(f6295,plain,
( ~ sQ59_spl
| ~ sQ89_spl
| sQ152_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f6278,f3692,f773,f392,f291]) ).
fof(f6296,plain,
( ~ sQ59_spl
| ~ sQ89_spl
| sQ144_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f6279,f3692,f685,f392,f291]) ).
fof(f6297,plain,
( ~ sQ49_spl
| ~ sQ89_spl
| sQ134_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f6280,f2140,f600,f392,f254]) ).
fof(f6298,plain,
( ~ sQ49_spl
| ~ sQ89_spl
| sQ141_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f6281,f2140,f659,f392,f254]) ).
fof(f6299,definition,
! [X0] :
( sQ392_spl
<=> ( ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ) ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f6300,plain,
! [X0] :
( ~ sQ392_spl
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_5,e_5) ),
inference(component_clause,[status(thm)],[f6299]) ).
fof(f6302,plain,
( ~ sQ89_spl
| sQ137_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f6285,f6299,f621,f392]) ).
fof(f6303,plain,
( ~ sQ89_spl
| sQ136_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f6286,f6299,f614,f392]) ).
fof(f6305,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f374,f1930]) ).
fof(f6306,plain,
( ~ sQ383_spl
| ~ sQ83_spl
| ~ product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f374,f5822]) ).
fof(f6307,plain,
( ~ sQ192_spl
| ~ sQ83_spl
| ~ product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f374,f1269]) ).
fof(f6308,plain,
( ~ sQ306_spl
| ~ sQ83_spl
| ~ product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f374,f2819]) ).
fof(f6309,plain,
( ~ sQ160_spl
| ~ sQ83_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f374,f870]) ).
fof(f6310,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ83_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f374,f3761]) ).
fof(f6311,plain,
! [X0] :
( ~ sQ113_spl
| ~ sQ83_spl
| equalish(e_1,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f374,f3762]) ).
fof(f6312,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ83_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f374,f653]) ).
fof(f6313,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ83_spl
| equalish(e_5,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f374,f654]) ).
fof(f6314,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ83_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f374,f5811]) ).
fof(f6315,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ83_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f374,f5810]) ).
fof(f6316,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ83_spl
| equalish(e_1,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f374,f1934]) ).
fof(f6317,plain,
! [X0] :
( ~ sQ98_spl
| ~ sQ83_spl
| equalish(e_2,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f374,f1935]) ).
fof(f6318,plain,
( ~ sQ83_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f374,f81]) ).
fof(f6319,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_2,X0)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f374,f64]) ).
fof(f6320,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f374,f62]) ).
fof(f6321,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,X0)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f374,f60]) ).
fof(f6322,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f374,f71]) ).
fof(f6323,plain,
! [X0] :
( ~ sQ83_spl
| equalish(e_4,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f374,f70]) ).
fof(f6324,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| equalish(e_4,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f374,f69]) ).
fof(f6325,plain,
! [X0,X1,X2] :
( ~ sQ83_spl
| equalish(e_2,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_4,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f374,f67]) ).
fof(f6326,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| sQ163_spl ),
inference(split_clause,[status(thm)],[f6305,f914,f373,f421]) ).
fof(f6327,plain,
( ~ sQ383_spl
| ~ sQ83_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f6306,f354,f373,f5821]) ).
fof(f6328,definition,
! [X0] :
( sQ393_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f6329,plain,
! [X0] :
( ~ sQ393_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_3,e_1) ),
inference(component_clause,[status(thm)],[f6328]) ).
fof(f6331,plain,
( ~ sQ113_spl
| ~ sQ83_spl
| sQ176_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f6310,f6328,f1062,f373,f474]) ).
fof(f6332,plain,
( ~ sQ113_spl
| ~ sQ83_spl
| sQ135_spl
| sQ393_spl ),
inference(split_clause,[status(thm)],[f6311,f6328,f607,f373,f474]) ).
fof(f6333,plain,
( ~ sQ18_spl
| ~ sQ83_spl
| sQ166_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f6312,f4854,f933,f373,f150]) ).
fof(f6334,plain,
( ~ sQ18_spl
| ~ sQ83_spl
| sQ137_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f6313,f4854,f621,f373,f150]) ).
fof(f6335,plain,
( ~ sQ53_spl
| ~ sQ83_spl
| sQ144_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f6314,f2231,f685,f373,f272]) ).
fof(f6336,plain,
( ~ sQ53_spl
| ~ sQ83_spl
| sQ174_spl
| sQ263_spl ),
inference(split_clause,[status(thm)],[f6315,f2231,f1054,f373,f272]) ).
fof(f6337,definition,
! [X0] :
( sQ394_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f6338,plain,
! [X0] :
( ~ sQ394_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_1,e_2) ),
inference(component_clause,[status(thm)],[f6337]) ).
fof(f6340,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| sQ163_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f6316,f6337,f914,f373,f421]) ).
fof(f6341,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| sQ146_spl
| sQ394_spl ),
inference(split_clause,[status(thm)],[f6317,f6337,f714,f373,f421]) ).
fof(f6342,plain,
( ~ sQ83_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f6318,f659,f373]) ).
fof(f6343,definition,
! [X0] :
( sQ395_spl
<=> ( ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f6344,plain,
! [X0] :
( ~ sQ395_spl
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_4,e_4) ),
inference(component_clause,[status(thm)],[f6343]) ).
fof(f6346,plain,
( ~ sQ83_spl
| sQ141_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f6322,f6343,f659,f373]) ).
fof(f6347,plain,
( ~ sQ83_spl
| sQ161_spl
| sQ395_spl ),
inference(split_clause,[status(thm)],[f6323,f6343,f873,f373]) ).
fof(f6348,plain,
( ~ sQ108_spl
| ~ sQ140_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f459,f3350]) ).
fof(f6349,plain,
( ~ sQ108_spl
| ~ sQ140_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f6348]) ).
fof(f6350,plain,
( ~ sQ107_spl
| ~ sQ229_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f456,f3347]) ).
fof(f6351,plain,
( ~ sQ107_spl
| ~ sQ229_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f6350]) ).
fof(f6352,plain,
( ~ sQ271_spl
| ~ sQ101_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f437,f2315]) ).
fof(f6353,plain,
( ~ sQ275_spl
| ~ sQ101_spl
| ~ product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f437,f2349]) ).
fof(f6354,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ101_spl
| equalish(e_4,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f437,f1163]) ).
fof(f6355,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ101_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f437,f1162]) ).
fof(f6356,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ101_spl
| equalish(e_4,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f437,f896]) ).
fof(f6357,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ101_spl
| equalish(e_5,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f437,f897]) ).
fof(f6358,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ101_spl
| equalish(e_3,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f437,f1491]) ).
fof(f6359,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ101_spl
| equalish(e_1,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f437,f1490]) ).
fof(f6360,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_1,X0)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f437,f64]) ).
fof(f6361,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_5,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f437,f62]) ).
fof(f6362,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,X0)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f437,f60]) ).
fof(f6363,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f437,f71]) ).
fof(f6364,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f437,f70]) ).
fof(f6365,plain,
! [X0,X1,X2] :
( ~ sQ101_spl
| equalish(e_5,X1)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f437,f69]) ).
fof(f6366,plain,
! [X0,X1,X2] :
( ~ sQ101_spl
| equalish(e_1,X0)
| ~ product(X2,X1,X0)
| ~ product(X2,e_5,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f437,f67]) ).
fof(f6367,definition,
! [X0] :
( sQ396_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f6368,plain,
! [X0] :
( ~ sQ396_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_3,e_4) ),
inference(component_clause,[status(thm)],[f6367]) ).
fof(f6370,plain,
( ~ sQ36_spl
| ~ sQ101_spl
| sQ127_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f6354,f6367,f537,f436,f213]) ).
fof(f6371,plain,
( ~ sQ36_spl
| ~ sQ101_spl
| sQ129_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f6355,f6367,f555,f436,f213]) ).
fof(f6372,plain,
( ~ sQ6_spl
| ~ sQ101_spl
| sQ126_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f6356,f2597,f533,f436,f112]) ).
fof(f6373,plain,
( ~ sQ6_spl
| ~ sQ101_spl
| sQ171_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f6357,f2597,f1018,f436,f112]) ).
fof(f6374,definition,
! [X0] :
( sQ397_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ) ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f6375,plain,
! [X0] :
( ~ sQ397_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_1,e_3) ),
inference(component_clause,[status(thm)],[f6374]) ).
fof(f6377,plain,
( ~ sQ71_spl
| ~ sQ101_spl
| sQ130_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f6358,f6374,f559,f436,f330]) ).
fof(f6378,plain,
( ~ sQ71_spl
| ~ sQ101_spl
| sQ148_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f6359,f6374,f729,f436,f330]) ).
fof(f6379,definition,
! [X0] :
( sQ398_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ) ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f6380,plain,
! [X0] :
( ~ sQ398_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_2,e_2) ),
inference(component_clause,[status(thm)],[f6379]) ).
fof(f6382,plain,
( ~ sQ101_spl
| sQ133_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f6363,f6379,f581,f436]) ).
fof(f6383,plain,
( ~ sQ101_spl
| sQ132_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f6364,f6379,f577,f436]) ).
fof(f6387,plain,
( ~ sQ320_spl
| ~ sQ10_spl
| ~ product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f126,f3340]) ).
fof(f6388,plain,
( ~ sQ340_spl
| ~ sQ10_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f126,f3774]) ).
fof(f6389,plain,
( ~ sQ372_spl
| ~ sQ10_spl
| ~ product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f126,f5233]) ).
fof(f6390,plain,
( ~ sQ388_spl
| ~ sQ10_spl
| ~ product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f126,f5956]) ).
fof(f6414,plain,
( ~ sQ355_spl
| ~ sQ65_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f312,f4261]) ).
fof(f6415,plain,
( ~ sQ280_spl
| ~ sQ65_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f312,f2457]) ).
fof(f6417,plain,
( ~ sQ382_spl
| ~ sQ65_spl
| ~ product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f312,f5815]) ).
fof(f6418,plain,
( ~ sQ322_spl
| ~ sQ65_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f312,f3370]) ).
fof(f6420,plain,
( ~ sQ362_spl
| ~ sQ65_spl
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f312,f4546]) ).
fof(f6421,plain,
( ~ sQ323_spl
| ~ sQ65_spl
| ~ product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f312,f3375]) ).
fof(f6443,plain,
( ~ sQ289_spl
| ~ sQ80_spl
| ~ product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f365,f2552]) ).
fof(f6444,plain,
( ~ sQ375_spl
| ~ sQ80_spl
| ~ product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f365,f5265]) ).
fof(f6447,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ80_spl
| equalish(e_3,e_2)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f365,f1600]) ).
fof(f6448,plain,
! [X0] :
( ~ sQ65_spl
| ~ sQ80_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f365,f1599]) ).
fof(f6460,plain,
( ~ sQ65_spl
| ~ sQ80_spl
| sQ144_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f6447,f4082,f685,f364,f311]) ).
fof(f6461,plain,
( ~ sQ65_spl
| ~ sQ80_spl
| sQ166_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f6448,f4082,f933,f364,f311]) ).
fof(f6466,plain,
( ~ sQ36_spl
| ~ sQ392_spl
| ~ product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f6300,f214]) ).
fof(f6467,plain,
( ~ sQ65_spl
| ~ sQ391_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f6291,f312]) ).
fof(f6468,plain,
( ~ sQ6_spl
| ~ sQ395_spl
| ~ product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f6344,f113]) ).
fof(f6469,plain,
( ~ sQ71_spl
| ~ sQ394_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f6338,f331]) ).
fof(f6470,plain,
( ~ sQ10_spl
| ~ sQ393_spl
| ~ product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f6329,f126]) ).
fof(f6471,plain,
( ~ sQ10_spl
| ~ sQ393_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f6470,f112,f6328,f125]) ).
fof(f6473,plain,
( ~ sQ377_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f5275,f65]) ).
fof(f6474,plain,
( ~ sQ113_spl
| ~ sQ396_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f6368,f475]) ).
fof(f6475,plain,
( ~ sQ22_spl
| ~ sQ397_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f6375,f164]) ).
fof(f6476,plain,
( ~ sQ398_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f6380,f65]) ).
fof(f6477,plain,
( ~ sQ59_spl
| ~ sQ293_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f2598,f292]) ).
fof(f6478,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ89_spl
| equalish(e_3,e_2)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f6287,f494]) ).
fof(f6479,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ89_spl
| equalish(e_3,e_4)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f6287,f292]) ).
fof(f6480,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,e_3)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f6287,f393]) ).
fof(f6481,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ89_spl
| equalish(e_3,e_1)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f6287,f255]) ).
fof(f6482,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f6287,f65]) ).
fof(f6483,plain,
( ~ sQ119_spl
| ~ sQ89_spl
| sQ144_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f6478,f6290,f685,f392,f493]) ).
fof(f6484,plain,
( ~ sQ59_spl
| ~ sQ89_spl
| sQ176_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f6479,f3692,f1062,f392,f291]) ).
fof(f6485,plain,
( ~ sQ89_spl
| sQ154_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f6480,f2790,f792,f392]) ).
fof(f6486,plain,
( ~ sQ49_spl
| ~ sQ89_spl
| sQ130_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f6481,f2140,f559,f392,f254]) ).
fof(f6487,plain,
( ~ sQ89_spl
| sQ129_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f6482,f6299,f555,f392]) ).
fof(f6488,plain,
! [X0] :
( ~ sQ119_spl
| ~ sQ89_spl
| equalish(e_2,e_1)
| ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f6288,f494]) ).
fof(f6489,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ89_spl
| equalish(e_2,e_3)
| ~ product(X0,e_4,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f6288,f292]) ).
fof(f6490,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_2,e_2)
| ~ product(X0,e_3,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f6288,f393]) ).
fof(f6491,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ89_spl
| equalish(e_2,e_4)
| ~ product(X0,e_1,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f6288,f255]) ).
fof(f6492,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_2,e_5)
| ~ product(X0,e_5,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f6288,f65]) ).
fof(f6493,plain,
( ~ sQ119_spl
| ~ sQ89_spl
| sQ133_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f6488,f6290,f581,f392,f493]) ).
fof(f6494,plain,
( ~ sQ59_spl
| ~ sQ89_spl
| sQ157_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f6489,f3692,f817,f392,f291]) ).
fof(f6495,plain,
( ~ sQ89_spl
| sQ146_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f6490,f2790,f714,f392]) ).
fof(f6496,plain,
( ~ sQ49_spl
| ~ sQ89_spl
| sQ166_spl
| sQ256_spl ),
inference(split_clause,[status(thm)],[f6491,f2140,f933,f392,f254]) ).
fof(f6497,plain,
( ~ sQ89_spl
| sQ132_spl
| sQ392_spl ),
inference(split_clause,[status(thm)],[f6492,f6299,f577,f392]) ).
fof(f6519,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ107_spl
| equalish(e_1,e_4)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f5261,f233]) ).
fof(f6523,definition,
! [X0] :
( sQ399_spl
<=> ( ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f6524,plain,
! [X0] :
( ~ sQ399_spl
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(component_clause,[status(thm)],[f6523]) ).
fof(f6526,plain,
( ~ sQ42_spl
| ~ sQ107_spl
| sQ163_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f6519,f6523,f914,f455,f232]) ).
fof(f6530,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ107_spl
| equalish(e_4,e_2)
| ~ product(X0,e_2,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f5260,f233]) ).
fof(f6534,plain,
( ~ sQ42_spl
| ~ sQ107_spl
| sQ141_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f6530,f6523,f659,f455,f232]) ).
fof(f6537,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_5,e_5)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f6365,f437]) ).
fof(f6538,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ101_spl
| equalish(e_5,e_1)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f6365,f331]) ).
fof(f6539,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ101_spl
| equalish(e_5,e_3)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f6365,f214]) ).
fof(f6540,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ101_spl
| equalish(e_5,e_4)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f6365,f113]) ).
fof(f6541,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_5,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f6365,f65]) ).
fof(f6542,definition,
! [X0] :
( sQ400_spl
<=> ( ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f6543,plain,
! [X0] :
( ~ sQ400_spl
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(component_clause,[status(thm)],[f6542]) ).
fof(f6545,plain,
( ~ sQ101_spl
| sQ139_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f6537,f6542,f643,f436]) ).
fof(f6546,plain,
( ~ sQ71_spl
| ~ sQ101_spl
| sQ171_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f6538,f6374,f1018,f436,f330]) ).
fof(f6547,plain,
( ~ sQ36_spl
| ~ sQ101_spl
| sQ136_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f6539,f6367,f614,f436,f213]) ).
fof(f6548,plain,
( ~ sQ6_spl
| ~ sQ101_spl
| sQ174_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f6540,f2597,f1054,f436,f112]) ).
fof(f6549,plain,
( ~ sQ101_spl
| sQ137_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f6541,f6379,f621,f436]) ).
fof(f6550,plain,
! [X0] :
( ~ sQ400_spl
| ~ product(X0,e_5,e_1) ),
inference(duplicate_literals_removal,[status(thm)],[f6543]) ).
fof(f6551,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_1,e_1)
| ~ product(X0,e_5,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f6366,f437]) ).
fof(f6552,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ101_spl
| equalish(e_1,e_3)
| ~ product(X0,e_1,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f6366,f331]) ).
fof(f6553,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ101_spl
| equalish(e_1,e_4)
| ~ product(X0,e_3,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f6366,f214]) ).
fof(f6554,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ101_spl
| equalish(e_1,e_5)
| ~ product(X0,e_4,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f6366,f113]) ).
fof(f6555,plain,
! [X0] :
( ~ sQ101_spl
| equalish(e_1,e_2)
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f6366,f65]) ).
fof(f6556,plain,
( ~ sQ101_spl
| sQ170_spl
| sQ400_spl ),
inference(split_clause,[status(thm)],[f6551,f6542,f1006,f436]) ).
fof(f6557,plain,
( ~ sQ71_spl
| ~ sQ101_spl
| sQ134_spl
| sQ397_spl ),
inference(split_clause,[status(thm)],[f6552,f6374,f600,f436,f330]) ).
fof(f6558,plain,
( ~ sQ36_spl
| ~ sQ101_spl
| sQ163_spl
| sQ396_spl ),
inference(split_clause,[status(thm)],[f6553,f6367,f914,f436,f213]) ).
fof(f6559,plain,
( ~ sQ6_spl
| ~ sQ101_spl
| sQ148_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f6554,f2597,f729,f436,f112]) ).
fof(f6560,plain,
( ~ sQ101_spl
| sQ135_spl
| sQ398_spl ),
inference(split_clause,[status(thm)],[f6555,f6379,f607,f436]) ).
fof(f6561,plain,
( ~ sQ25_spl
| ~ sQ400_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f179,f6550]) ).
fof(f6562,plain,
( ~ sQ25_spl
| ~ sQ400_spl ),
inference(contradiction_clause,[status(thm)],[f6561]) ).
fof(f6563,plain,
( ~ sQ18_spl
| ~ sQ399_spl
| ~ product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f6524,f151]) ).
fof(f6564,plain,
( ~ sQ59_spl
| ~ sQ293_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f2598,f292]) ).
fof(f6565,plain,
( ~ sQ398_spl
| ~ product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f6380,f65]) ).
fof(f6566,plain,
( ~ sQ22_spl
| ~ sQ397_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f6375,f164]) ).
fof(f6567,plain,
( ~ sQ113_spl
| ~ sQ396_spl
| ~ product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f6368,f475]) ).
fof(f6568,plain,
( ~ sQ18_spl
| ~ sQ385_spl
| ~ product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f5869,f151]) ).
fof(f6569,plain,
( ~ sQ387_spl
| ~ product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f5879,f65]) ).
fof(f6602,plain,
( ~ sQ336_spl
| ~ sQ107_spl
| ~ product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f456,f3732]) ).
fof(f6603,plain,
( ~ sQ221_spl
| ~ sQ107_spl
| ~ product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f456,f1677]) ).
fof(f6608,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ107_spl
| equalish(e_2,e_4)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f456,f1049]) ).
fof(f6609,plain,
! [X0] :
( ~ sQ42_spl
| ~ sQ107_spl
| equalish(e_4,e_1)
| ~ product(X0,e_4,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f456,f1050]) ).
fof(f6623,plain,
( ~ sQ42_spl
| ~ sQ107_spl
| sQ166_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f6608,f6523,f933,f455,f232]) ).
fof(f6624,plain,
( ~ sQ42_spl
| ~ sQ107_spl
| sQ127_spl
| sQ399_spl ),
inference(split_clause,[status(thm)],[f6609,f6523,f537,f455,f232]) ).
fof(f6632,plain,
( ~ sQ294_spl
| ~ sQ25_spl
| ~ product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f179,f2603]) ).
fof(f6633,plain,
( ~ sQ384_spl
| ~ sQ25_spl
| ~ product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f179,f5864]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sQ4_spl
| ~ sQ5_spl
| sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| ~ sQ17_spl
| sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| ~ sQ21_spl
| sQ22_spl
| ~ sQ23_spl
| ~ sQ24_spl
| sQ25_spl
| ~ sQ26_spl
| ~ sQ27_spl
| ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| sQ33_spl
| ~ sQ35_spl
| sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| ~ sQ39_spl
| ~ sQ40_spl
| ~ sQ41_spl
| sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| sQ49_spl
| ~ sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| ~ sQ58_spl
| sQ59_spl
| ~ sQ60_spl
| ~ sQ61_spl
| sQ62_spl
| sQ65_spl
| ~ sQ66_spl
| ~ sQ67_spl
| ~ sQ68_spl
| ~ sQ69_spl
| ~ sQ70_spl
| sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| ~ sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl
| sQ77_spl
| ~ sQ78_spl
| ~ sQ79_spl
| sQ80_spl
| ~ sQ81_spl
| ~ sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| ~ sQ86_spl
| ~ sQ87_spl
| ~ sQ88_spl
| sQ89_spl
| ~ sQ90_spl
| sQ91_spl
| ~ sQ95_spl
| ~ sQ96_spl
| ~ sQ97_spl
| sQ98_spl
| ~ sQ99_spl
| ~ sQ100_spl
| sQ101_spl
| ~ sQ102_spl
| ~ sQ103_spl
| ~ sQ105_spl
| ~ sQ106_spl
| sQ107_spl
| ~ sQ108_spl
| ~ sQ109_spl
| ~ sQ110_spl
| ~ sQ111_spl
| ~ sQ112_spl
| sQ113_spl
| ~ sQ114_spl
| ~ sQ115_spl
| ~ sQ116_spl
| ~ sQ117_spl
| ~ sQ118_spl
| sQ119_spl
| sQ120_spl
| ~ sQ124_spl
| ~ sQ125_spl
| ~ sQ126_spl
| ~ sQ127_spl
| sQ128_spl
| ~ sQ129_spl
| ~ sQ130_spl
| ~ sQ132_spl
| ~ sQ133_spl
| ~ sQ134_spl
| ~ sQ135_spl
| ~ sQ136_spl
| ~ sQ137_spl
| sQ138_spl
| sQ139_spl
| sQ140_spl
| ~ sQ141_spl
| ~ sQ144_spl
| ~ sQ145_spl
| sQ146_spl
| ~ sQ147_spl
| ~ sQ148_spl
| sQ150_spl
| ~ sQ152_spl
| ~ sQ153_spl
| sQ154_spl
| ~ sQ156_spl
| ~ sQ157_spl
| sQ158_spl
| ~ sQ159_spl
| sQ160_spl
| sQ161_spl
| ~ sQ163_spl
| ~ sQ164_spl
| sQ165_spl
| ~ sQ166_spl
| ~ sQ168_spl
| ~ sQ169_spl
| sQ170_spl
| ~ sQ171_spl
| sQ172_spl
| sQ173_spl
| ~ sQ174_spl
| sQ175_spl
| ~ sQ176_spl
| ~ sQ178_spl
| sQ179_spl
| sQ182_spl
| sQ185_spl
| ~ sQ186_spl
| ~ sQ187_spl
| sQ192_spl
| ~ sQ193_spl
| ~ sQ196_spl
| sQ197_spl
| ~ sQ198_spl
| sQ199_spl
| ~ sQ200_spl
| sQ202_spl
| sQ203_spl
| ~ sQ204_spl
| sQ206_spl
| sQ207_spl
| sQ208_spl
| sQ209_spl
| sQ210_spl
| ~ sQ211_spl
| ~ sQ212_spl
| sQ213_spl
| sQ214_spl
| sQ215_spl
| sQ216_spl
| ~ sQ217_spl
| sQ221_spl
| sQ222_spl
| sQ223_spl
| sQ226_spl
| sQ227_spl
| ~ sQ229_spl
| ~ sQ230_spl
| sQ235_spl
| ~ sQ236_spl
| ~ sQ237_spl
| ~ sQ238_spl
| sQ239_spl
| sQ241_spl
| sQ243_spl
| sQ244_spl
| ~ sQ245_spl
| ~ sQ246_spl
| sQ247_spl
| ~ sQ248_spl
| ~ sQ251_spl
| sQ252_spl
| sQ255_spl
| sQ256_spl
| sQ259_spl
| sQ260_spl
| sQ262_spl
| sQ263_spl
| sQ264_spl
| sQ265_spl
| sQ266_spl
| sQ267_spl
| sQ268_spl
| ~ sQ269_spl
| sQ271_spl
| sQ273_spl
| sQ274_spl
| sQ275_spl
| ~ sQ276_spl
| ~ sQ277_spl
| sQ278_spl
| sQ280_spl
| ~ sQ281_spl
| ~ sQ282_spl
| sQ283_spl
| sQ287_spl
| sQ288_spl
| sQ289_spl
| sQ291_spl
| ~ sQ292_spl
| sQ293_spl
| sQ294_spl
| sQ295_spl
| sQ296_spl
| ~ sQ297_spl
| sQ298_spl
| ~ sQ299_spl
| ~ sQ301_spl
| ~ sQ303_spl
| ~ sQ304_spl
| ~ sQ305_spl
| sQ306_spl
| sQ307_spl
| sQ308_spl
| sQ309_spl
| sQ310_spl
| ~ sQ311_spl
| ~ sQ312_spl
| sQ313_spl
| ~ sQ314_spl
| sQ316_spl
| sQ317_spl
| ~ sQ318_spl
| sQ320_spl
| sQ321_spl
| sQ322_spl
| sQ323_spl
| ~ sQ325_spl
| sQ326_spl
| ~ sQ328_spl
| sQ329_spl
| sQ330_spl
| sQ331_spl
| sQ332_spl
| sQ333_spl
| sQ334_spl
| ~ sQ335_spl
| sQ336_spl
| ~ sQ337_spl
| sQ338_spl
| sQ339_spl
| sQ340_spl
| sQ341_spl
| sQ342_spl
| sQ343_spl
| sQ345_spl
| sQ346_spl
| sQ347_spl
| ~ sQ348_spl
| sQ349_spl
| ~ sQ351_spl
| sQ352_spl
| ~ sQ353_spl
| sQ354_spl
| sQ355_spl
| sQ356_spl
| sQ357_spl
| sQ359_spl
| sQ360_spl
| sQ362_spl
| sQ364_spl
| sQ366_spl
| sQ368_spl
| sQ369_spl
| ~ sQ370_spl
| ~ sQ371_spl
| sQ372_spl
| ~ sQ373_spl
| sQ375_spl
| sQ376_spl
| sQ377_spl
| ~ sQ378_spl
| sQ379_spl
| sQ380_spl
| sQ381_spl
| sQ382_spl
| sQ383_spl
| sQ384_spl
| sQ385_spl
| ~ sQ386_spl
| sQ387_spl
| sQ388_spl
| ~ sQ389_spl
| ~ sQ390_spl
| sQ391_spl
| sQ392_spl
| ~ sQ393_spl
| sQ394_spl
| sQ395_spl
| sQ396_spl
| sQ397_spl
| sQ398_spl
| sQ399_spl
| ~ sQ400_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP123-1.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n026.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 20 20:00:28 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.39 % Drodi V4.1.1
% 11.11/6.90 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 11.11/6.90 % SZS output start Saturation for theBenchmark
% See solution above
% 0.94/6.97 % Elapsed time: 1.584309 seconds
% 0.94/6.97 % CPU time: 11.935866 seconds
% 0.94/6.97 % Total memory used: 78.119 MB
% 0.94/6.97 % Net memory used: 62.940 MB
%------------------------------------------------------------------------------