%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP126-2.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 12:35:51 PM UTC 2026
% Result : Satisfiable 0.17s 0.64s
% Output : Saturation 0.17s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
next(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
greater(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
greater(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,X1] :
( ~ greater(Y,X1)
| ~ next(X,X1)
| ~ product(X,e_1,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X,Y] :
( product(X,Y,e_5)
| product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
! [X,Y,Z1,Z2] :
( product(Z1,Z2,Y)
| ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,plain,
next(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f48,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
next(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f50,plain,
next(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f51,plain,
greater(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f52,plain,
greater(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f53,plain,
greater(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f54,plain,
greater(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f55,plain,
greater(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f56,plain,
greater(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f57,plain,
greater(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f58,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f59,plain,
greater(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f60,plain,
greater(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f61,plain,
! [Y,X1] :
( ~ greater(Y,X1)
| ! [X] :
( ~ next(X,X1)
| ~ product(X,e_1,Y) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f64,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f65,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f66,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f67,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f68,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f69,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f70,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f71,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f72,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f73,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f74,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f75,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f76,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f77,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f78,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f79,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f80,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f81,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f82,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f83,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f84,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f85,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f86,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f87,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f88,plain,
! [X0,X1] :
( product(X0,X1,e_5)
| product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f89,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f96,plain,
! [Y,Z1,Z2] :
( product(Z1,Z2,Y)
| ! [X] :
( ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( product(X2,X3,X1)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( product(X1,X0,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f95,f97]) ).
fof(f100,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f90,f95]) ).
fof(f101,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f100,f95]) ).
fof(f102,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f92,f95]) ).
fof(f103,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f94,f95]) ).
fof(f105,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)],[f88,f67]) ).
fof(f106,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)],[f88,f66]) ).
fof(f107,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)],[f88,f65]) ).
fof(f108,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)],[f88,f64]) ).
fof(f109,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)],[f88,f63]) ).
fof(f110,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)],[f105,f67]) ).
fof(f111,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)],[f105,f66]) ).
fof(f112,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)],[f105,f65]) ).
fof(f113,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)],[f105,f64]) ).
fof(f114,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)],[f105,f63]) ).
fof(f115,definition,
( sQ0_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f116,plain,
( ~ sQ0_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f117,plain,
( sQ0_spl
| ~ product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,definition,
( sQ1_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ1_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f120,plain,
( sQ1_spl
| ~ product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ2_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ2_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f123,plain,
( sQ2_spl
| ~ product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,definition,
( sQ3_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ3_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( sQ3_spl
| ~ product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,definition,
( sQ4_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f110,f115,f118,f121,f124,f127]) ).
fof(f131,definition,
( sQ5_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( ~ sQ5_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f133,plain,
( sQ5_spl
| ~ product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,definition,
( sQ6_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( ~ sQ6_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f136,plain,
( sQ6_spl
| ~ product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,definition,
( sQ7_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ7_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f139,plain,
( sQ7_spl
| ~ product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ8_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ8_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f142,plain,
( sQ8_spl
| ~ product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
( sQ9_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ9_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f145,plain,
( sQ9_spl
| ~ product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f111,f131,f134,f137,f140,f143]) ).
fof(f147,definition,
( sQ10_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( ~ sQ10_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f149,plain,
( sQ10_spl
| ~ product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,definition,
( sQ11_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ11_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f152,plain,
( sQ11_spl
| ~ product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,definition,
( sQ12_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ12_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f155,plain,
( sQ12_spl
| ~ product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,definition,
( sQ13_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ13_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f158,plain,
( sQ13_spl
| ~ product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,definition,
( sQ14_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ14_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ14_spl
| ~ product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f112,f147,f150,f153,f156,f159]) ).
fof(f163,definition,
( sQ15_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( ~ sQ15_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f165,plain,
( sQ15_spl
| ~ product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,definition,
( sQ16_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ16_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f168,plain,
( sQ16_spl
| ~ product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,definition,
( sQ17_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ17_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( sQ17_spl
| ~ product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,definition,
( sQ18_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ18_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f174,plain,
( sQ18_spl
| ~ product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,definition,
( sQ19_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ19_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f177,plain,
( sQ19_spl
| ~ product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f113,f163,f166,f169,f172,f175]) ).
fof(f179,definition,
( sQ20_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ20_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f181,plain,
( sQ20_spl
| ~ product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,definition,
( sQ21_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ21_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f184,plain,
( sQ21_spl
| ~ product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,definition,
( sQ22_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ22_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f187,plain,
( sQ22_spl
| ~ product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,definition,
( sQ23_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ23_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f190,plain,
( sQ23_spl
| ~ product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,definition,
( sQ24_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ24_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f193,plain,
( sQ24_spl
| ~ product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f114,f179,f182,f185,f188,f191]) ).
fof(f195,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)],[f106,f67]) ).
fof(f196,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)],[f106,f66]) ).
fof(f197,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)],[f106,f65]) ).
fof(f198,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)],[f106,f64]) ).
fof(f199,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)],[f106,f63]) ).
fof(f200,definition,
( sQ25_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ25_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f202,plain,
( sQ25_spl
| ~ product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,definition,
( sQ26_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ26_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f205,plain,
( sQ26_spl
| ~ product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,definition,
( sQ27_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ27_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f208,plain,
( sQ27_spl
| ~ product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,definition,
( sQ28_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ28_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f211,plain,
( sQ28_spl
| ~ product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ29_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ29_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f214,plain,
( sQ29_spl
| ~ product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f195,f200,f203,f206,f209,f212]) ).
fof(f216,definition,
( sQ30_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ30_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f218,plain,
( sQ30_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,definition,
( sQ31_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ31_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f221,plain,
( sQ31_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,definition,
( sQ32_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ32_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f224,plain,
( sQ32_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,definition,
( sQ33_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f228,definition,
( sQ34_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ34_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( sQ34_spl
| ~ product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f196,f216,f219,f222,f225,f228]) ).
fof(f232,definition,
( sQ35_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ35_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f234,plain,
( sQ35_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,definition,
( sQ36_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ36_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f237,plain,
( sQ36_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ37_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ37_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f240,plain,
( sQ37_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
( sQ38_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ38_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f243,plain,
( sQ38_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
( sQ39_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ39_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f197,f232,f235,f238,f241,f244]) ).
fof(f248,definition,
( sQ40_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ40_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f250,plain,
( sQ40_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,definition,
( sQ41_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( ~ sQ41_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f253,plain,
( sQ41_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,definition,
( sQ42_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ42_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( sQ42_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,definition,
( sQ43_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ43_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( sQ43_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
( sQ44_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ44_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f262,plain,
( sQ44_spl
| ~ product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f198,f248,f251,f254,f257,f260]) ).
fof(f264,definition,
( sQ45_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ45_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f266,plain,
( sQ45_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,definition,
( sQ46_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( ~ sQ46_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f269,plain,
( sQ46_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,definition,
( sQ47_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ47_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f272,plain,
( sQ47_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,definition,
( sQ48_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ48_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f275,plain,
( sQ48_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ49_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ49_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f278,plain,
( sQ49_spl
| ~ product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f199,f264,f267,f270,f273,f276]) ).
fof(f280,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)],[f107,f67]) ).
fof(f281,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)],[f107,f66]) ).
fof(f282,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)],[f107,f65]) ).
fof(f283,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)],[f107,f64]) ).
fof(f284,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)],[f107,f63]) ).
fof(f285,definition,
( sQ50_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ50_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f287,plain,
( sQ50_spl
| ~ product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,definition,
( sQ51_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ51_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f290,plain,
( sQ51_spl
| ~ product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ52_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ52_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f293,plain,
( sQ52_spl
| ~ product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ53_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ53_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f296,plain,
( sQ53_spl
| ~ product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
( sQ54_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ54_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f299,plain,
( sQ54_spl
| ~ product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f280,f285,f288,f291,f294,f297]) ).
fof(f301,definition,
( sQ55_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ55_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f303,plain,
( sQ55_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,definition,
( sQ56_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ56_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f306,plain,
( sQ56_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,definition,
( sQ57_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ57_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f309,plain,
( sQ57_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,definition,
( sQ58_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ58_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f312,plain,
( sQ58_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,definition,
( sQ59_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ59_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f315,plain,
( sQ59_spl
| ~ product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f281,f301,f304,f307,f310,f313]) ).
fof(f317,definition,
( sQ60_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ60_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f319,plain,
( sQ60_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,definition,
( sQ61_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ61_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f322,plain,
( sQ61_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,definition,
( sQ62_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f326,definition,
( sQ63_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ63_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f328,plain,
( sQ63_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,definition,
( sQ64_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( ~ sQ64_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f331,plain,
( sQ64_spl
| ~ product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f282,f317,f320,f323,f326,f329]) ).
fof(f333,definition,
( sQ65_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( ~ sQ65_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f335,plain,
( sQ65_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
( sQ66_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ66_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f338,plain,
( sQ66_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,definition,
( sQ67_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( ~ sQ67_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f341,plain,
( sQ67_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,definition,
( sQ68_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( ~ sQ68_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f344,plain,
( sQ68_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,definition,
( sQ69_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ69_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f347,plain,
( sQ69_spl
| ~ product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f283,f333,f336,f339,f342,f345]) ).
fof(f349,definition,
( sQ70_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ70_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f351,plain,
( sQ70_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,definition,
( sQ71_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( ~ sQ71_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f354,plain,
( sQ71_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,definition,
( sQ72_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( ~ sQ72_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f357,plain,
( sQ72_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,definition,
( sQ73_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( ~ sQ73_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f360,plain,
( sQ73_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,definition,
( sQ74_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ74_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f363,plain,
( sQ74_spl
| ~ product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f284,f349,f352,f355,f358,f361]) ).
fof(f365,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)],[f108,f67]) ).
fof(f366,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)],[f108,f66]) ).
fof(f367,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)],[f108,f65]) ).
fof(f368,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)],[f108,f64]) ).
fof(f369,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)],[f108,f63]) ).
fof(f370,definition,
( sQ75_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ75_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f372,plain,
( sQ75_spl
| ~ product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
( sQ76_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ76_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f375,plain,
( sQ76_spl
| ~ product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,definition,
( sQ77_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ77_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f378,plain,
( sQ77_spl
| ~ product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,definition,
( sQ78_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ78_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f381,plain,
( sQ78_spl
| ~ product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ79_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ79_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f384,plain,
( sQ79_spl
| ~ product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f365,f370,f373,f376,f379,f382]) ).
fof(f386,definition,
( sQ80_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ80_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f388,plain,
( sQ80_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,definition,
( sQ81_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ81_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f391,plain,
( sQ81_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,definition,
( sQ82_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ82_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f394,plain,
( sQ82_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ83_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ83_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f397,plain,
( sQ83_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ84_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ84_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f400,plain,
( sQ84_spl
| ~ product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f366,f386,f389,f392,f395,f398]) ).
fof(f402,definition,
( sQ85_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ85_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f404,plain,
( sQ85_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,definition,
( sQ86_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ86_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f407,plain,
( sQ86_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ87_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ87_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f410,plain,
( sQ87_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ88_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ88_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f413,plain,
( sQ88_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ89_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ89_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f416,plain,
( sQ89_spl
| ~ product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f367,f402,f405,f408,f411,f414]) ).
fof(f418,definition,
( sQ90_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ90_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f420,plain,
( sQ90_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ91_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f424,definition,
( sQ92_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ92_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f426,plain,
( sQ92_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ93_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ93_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f429,plain,
( sQ93_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ94_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ94_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f432,plain,
( sQ94_spl
| ~ product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f368,f418,f421,f424,f427,f430]) ).
fof(f434,definition,
( sQ95_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ95_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f436,plain,
( sQ95_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ96_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ96_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f439,plain,
( sQ96_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ97_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ97_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f442,plain,
( sQ97_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,definition,
( sQ98_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ98_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f445,plain,
( sQ98_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ99_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ99_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f448,plain,
( sQ99_spl
| ~ product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f369,f434,f437,f440,f443,f446]) ).
fof(f450,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)],[f109,f67]) ).
fof(f451,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)],[f109,f66]) ).
fof(f452,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)],[f109,f65]) ).
fof(f453,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)],[f109,f64]) ).
fof(f454,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)],[f109,f63]) ).
fof(f455,definition,
( sQ100_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ100_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f457,plain,
( sQ100_spl
| ~ product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,definition,
( sQ101_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ101_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f460,plain,
( sQ101_spl
| ~ product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ102_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ102_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f463,plain,
( sQ102_spl
| ~ product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,definition,
( sQ103_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ103_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f466,plain,
( sQ103_spl
| ~ product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,definition,
( sQ104_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ104_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f469,plain,
( sQ104_spl
| ~ product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f450,f455,f458,f461,f464,f467]) ).
fof(f471,definition,
( sQ105_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ105_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f473,plain,
( sQ105_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ106_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ106_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f476,plain,
( sQ106_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
( sQ107_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ107_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f479,plain,
( sQ107_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,definition,
( sQ108_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ108_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f482,plain,
( sQ108_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,definition,
( sQ109_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ109_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f485,plain,
( sQ109_spl
| ~ product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f451,f471,f474,f477,f480,f483]) ).
fof(f487,definition,
( sQ110_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ110_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f489,plain,
( sQ110_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ111_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ111_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f492,plain,
( sQ111_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ112_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ112_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f495,plain,
( sQ112_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,definition,
( sQ113_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( ~ sQ113_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f498,plain,
( sQ113_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
( sQ114_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ114_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ114_spl
| ~ product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f452,f487,f490,f493,f496,f499]) ).
fof(f503,definition,
( sQ115_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ115_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f505,plain,
( sQ115_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ116_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ116_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f508,plain,
( sQ116_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,definition,
( sQ117_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( ~ sQ117_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( sQ117_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,definition,
( sQ118_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ118_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f514,plain,
( sQ118_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ119_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ119_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( sQ119_spl
| ~ product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f453,f503,f506,f509,f512,f515]) ).
fof(f519,definition,
( sQ120_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f522,definition,
( sQ121_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( ~ sQ121_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f524,plain,
( sQ121_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,definition,
( sQ122_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f526,plain,
( ~ sQ122_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f527,plain,
( sQ122_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,definition,
( sQ123_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ123_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f530,plain,
( sQ123_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,definition,
( sQ124_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ124_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f533,plain,
( sQ124_spl
| ~ product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f454,f519,f522,f525,f528,f531]) ).
fof(f536,plain,
! [X0] :
( ~ greater(e_1,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f62,f95]) ).
fof(f537,plain,
! [X0] :
( ~ sQ24_spl
| ~ greater(e_5,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f192,f62]) ).
fof(f538,plain,
( ~ sQ24_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f192,f102]) ).
fof(f539,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f192,f94]) ).
fof(f540,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f192,f92]) ).
fof(f541,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f192,f90]) ).
fof(f542,plain,
! [X0] :
( ~ sQ24_spl
| product(X0,e_5,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f192,f97]) ).
fof(f543,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f538,f71]) ).
fof(f544,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f543]) ).
fof(f545,plain,
! [X0] :
( ~ sQ23_spl
| ~ greater(e_4,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f189,f62]) ).
fof(f546,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f189,f94]) ).
fof(f547,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f189,f92]) ).
fof(f548,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f189,f90]) ).
fof(f549,plain,
! [X0] :
( ~ sQ23_spl
| product(X0,e_4,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f189,f97]) ).
fof(f553,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f186,f548]) ).
fof(f554,plain,
! [X0] :
( ~ sQ22_spl
| ~ greater(e_3,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f186,f62]) ).
fof(f555,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f186,f94]) ).
fof(f556,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f186,f92]) ).
fof(f557,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f186,f90]) ).
fof(f558,plain,
! [X0] :
( ~ sQ22_spl
| product(X0,e_3,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f186,f97]) ).
fof(f559,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f553,f78]) ).
fof(f560,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f559]) ).
fof(f561,plain,
! [X0] :
( ~ sQ21_spl
| ~ greater(e_2,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f183,f62]) ).
fof(f562,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f183,f94]) ).
fof(f563,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f183,f92]) ).
fof(f564,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f183,f90]) ).
fof(f565,plain,
! [X0] :
( ~ sQ21_spl
| product(X0,e_2,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f183,f97]) ).
fof(f570,plain,
! [X0] :
( ~ sQ20_spl
| ~ greater(e_1,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f180,f62]) ).
fof(f571,plain,
( ~ sQ20_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f180,f103]) ).
fof(f572,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f180,f94]) ).
fof(f573,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f180,f92]) ).
fof(f574,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f180,f90]) ).
fof(f575,plain,
! [X0] :
( ~ sQ20_spl
| product(X0,e_1,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f180,f97]) ).
fof(f578,plain,
( ~ sQ19_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f176,f102]) ).
fof(f579,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f176,f94]) ).
fof(f580,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f176,f92]) ).
fof(f581,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f176,f90]) ).
fof(f582,plain,
! [X0] :
( ~ sQ19_spl
| product(X0,e_5,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f176,f97]) ).
fof(f583,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f578,f75]) ).
fof(f584,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f583]) ).
fof(f585,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f173,f94]) ).
fof(f586,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f173,f92]) ).
fof(f587,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f173,f90]) ).
fof(f588,plain,
! [X0] :
( ~ sQ18_spl
| product(X0,e_4,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f173,f97]) ).
fof(f592,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f170,f587]) ).
fof(f593,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f170,f94]) ).
fof(f594,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f170,f92]) ).
fof(f595,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f170,f90]) ).
fof(f596,plain,
! [X0] :
( ~ sQ17_spl
| product(X0,e_3,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f170,f97]) ).
fof(f597,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f592,f78]) ).
fof(f598,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( ~ sQ16_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f167,f103]) ).
fof(f601,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f167,f94]) ).
fof(f602,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f167,f92]) ).
fof(f603,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f167,f90]) ).
fof(f604,plain,
! [X0] :
( ~ sQ16_spl
| product(X0,e_2,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f167,f97]) ).
fof(f607,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f571,f84]) ).
fof(f608,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f607]) ).
fof(f609,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f164,f94]) ).
fof(f610,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f164,f92]) ).
fof(f611,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f164,f90]) ).
fof(f612,plain,
! [X0] :
( ~ sQ15_spl
| product(X0,e_1,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f164,f97]) ).
fof(f616,plain,
( ~ sQ14_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f160,f102]) ).
fof(f617,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f160,f94]) ).
fof(f618,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f160,f92]) ).
fof(f619,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_5)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f160,f90]) ).
fof(f620,plain,
! [X0] :
( ~ sQ14_spl
| product(X0,e_5,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f160,f97]) ).
fof(f621,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f616,f79]) ).
fof(f622,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f621]) ).
fof(f623,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f157,f94]) ).
fof(f624,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f157,f92]) ).
fof(f625,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f157,f90]) ).
fof(f626,plain,
! [X0] :
( ~ sQ13_spl
| product(X0,e_4,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f157,f97]) ).
fof(f631,plain,
( ~ sQ22_spl
| ~ sQ12_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f154,f556]) ).
fof(f632,plain,
( ~ sQ12_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f154,f103]) ).
fof(f633,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f154,f94]) ).
fof(f634,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f154,f92]) ).
fof(f635,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f154,f90]) ).
fof(f636,plain,
! [X0] :
( ~ sQ12_spl
| product(X0,e_3,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f154,f97]) ).
fof(f639,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f151,f94]) ).
fof(f640,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f151,f92]) ).
fof(f641,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f151,f90]) ).
fof(f642,plain,
! [X0] :
( ~ sQ11_spl
| product(X0,e_2,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f151,f97]) ).
fof(f646,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f148,f641]) ).
fof(f647,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f148,f610]) ).
fof(f648,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f148,f94]) ).
fof(f649,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f148,f92]) ).
fof(f650,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f148,f90]) ).
fof(f651,plain,
! [X0] :
( ~ sQ10_spl
| product(X0,e_1,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f148,f97]) ).
fof(f652,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f646,f68]) ).
fof(f653,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f652]) ).
fof(f654,plain,
( ~ sQ9_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f144,f102]) ).
fof(f655,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f144,f94]) ).
fof(f656,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f144,f92]) ).
fof(f657,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f144,f90]) ).
fof(f658,plain,
! [X0] :
( ~ sQ9_spl
| product(X0,e_5,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f144,f97]) ).
fof(f659,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f654,f83]) ).
fof(f660,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f659]) ).
fof(f661,plain,
( ~ sQ8_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f141,f103]) ).
fof(f662,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f141,f94]) ).
fof(f663,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f141,f92]) ).
fof(f664,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f141,f90]) ).
fof(f665,plain,
! [X0] :
( ~ sQ8_spl
| product(X0,e_4,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f141,f97]) ).
fof(f666,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f661,f87]) ).
fof(f667,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f666]) ).
fof(f668,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f138,f556]) ).
fof(f669,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f138,f94]) ).
fof(f670,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f138,f92]) ).
fof(f671,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f138,f90]) ).
fof(f672,plain,
! [X0] :
( ~ sQ7_spl
| product(X0,e_3,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f138,f97]) ).
fof(f673,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f668,f80]) ).
fof(f674,plain,
( ~ sQ22_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f673]) ).
fof(f675,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f135,f640]) ).
fof(f676,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f135,f94]) ).
fof(f677,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f135,f92]) ).
fof(f678,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f135,f90]) ).
fof(f679,plain,
! [X0] :
( ~ sQ6_spl
| product(X0,e_2,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f135,f97]) ).
fof(f680,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f675,f82]) ).
fof(f681,plain,
( ~ sQ11_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f680]) ).
fof(f682,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f647,f77]) ).
fof(f683,plain,
( ~ sQ15_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f682]) ).
fof(f684,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f632,f86]) ).
fof(f685,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f684]) ).
fof(f686,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f132,f610]) ).
fof(f687,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f132,f94]) ).
fof(f688,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f132,f92]) ).
fof(f689,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f132,f90]) ).
fof(f690,plain,
! [X0] :
( ~ sQ5_spl
| product(X0,e_1,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f132,f97]) ).
fof(f691,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f686,f81]) ).
fof(f692,plain,
( ~ sQ15_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f691]) ).
fof(f693,plain,
! [X0] :
( ~ sQ49_spl
| ~ greater(e_5,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f277,f62]) ).
fof(f694,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f277,f94]) ).
fof(f695,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f277,f92]) ).
fof(f696,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f277,f90]) ).
fof(f697,plain,
! [X0] :
( ~ sQ49_spl
| product(X0,e_5,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f277,f97]) ).
fof(f698,plain,
! [X0] :
( ~ sQ48_spl
| ~ greater(e_4,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f274,f62]) ).
fof(f699,plain,
( ~ sQ48_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f274,f102]) ).
fof(f700,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f274,f94]) ).
fof(f701,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f274,f92]) ).
fof(f702,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f274,f90]) ).
fof(f703,plain,
! [X0] :
( ~ sQ48_spl
| product(X0,e_4,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f274,f97]) ).
fof(f704,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f699,f70]) ).
fof(f705,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f704]) ).
fof(f706,plain,
! [X0] :
( ~ sQ47_spl
| ~ greater(e_3,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f271,f62]) ).
fof(f707,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f271,f94]) ).
fof(f708,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f271,f92]) ).
fof(f709,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f271,f90]) ).
fof(f710,plain,
! [X0] :
( ~ sQ47_spl
| product(X0,e_3,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f271,f97]) ).
fof(f716,plain,
( ~ sQ47_spl
| ~ sQ49_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f696,f271]) ).
fof(f718,plain,
( ~ sQ47_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f716,f79]) ).
fof(f719,plain,
( ~ sQ47_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f718]) ).
fof(f720,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f268,f562]) ).
fof(f721,plain,
! [X0] :
( ~ sQ46_spl
| ~ greater(e_2,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f268,f62]) ).
fof(f722,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f268,f94]) ).
fof(f723,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f268,f92]) ).
fof(f724,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f268,f90]) ).
fof(f725,plain,
! [X0] :
( ~ sQ46_spl
| product(X0,e_2,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f268,f97]) ).
fof(f726,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f720,f83]) ).
fof(f727,plain,
( ~ sQ21_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f726]) ).
fof(f728,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f600,f85]) ).
fof(f729,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f728]) ).
fof(f730,plain,
! [X0] :
( ~ sQ45_spl
| ~ greater(e_1,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f265,f62]) ).
fof(f731,plain,
( ~ sQ45_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f265,f103]) ).
fof(f732,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f265,f94]) ).
fof(f733,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f265,f92]) ).
fof(f734,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f265,f90]) ).
fof(f735,plain,
! [X0] :
( ~ sQ45_spl
| product(X0,e_1,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f265,f97]) ).
fof(f736,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f731,f80]) ).
fof(f737,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f736]) ).
fof(f738,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f261,f94]) ).
fof(f739,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f261,f92]) ).
fof(f740,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f261,f90]) ).
fof(f741,plain,
! [X0] :
( ~ sQ44_spl
| product(X0,e_5,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f261,f97]) ).
fof(f746,plain,
( ~ sQ43_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f258,f102]) ).
fof(f747,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f258,f94]) ).
fof(f748,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f258,f92]) ).
fof(f749,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f258,f90]) ).
fof(f750,plain,
! [X0] :
( ~ sQ43_spl
| product(X0,e_4,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f258,f97]) ).
fof(f753,plain,
( ~ sQ17_spl
| ~ sQ42_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f255,f593]) ).
fof(f754,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f255,f94]) ).
fof(f755,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f255,f92]) ).
fof(f756,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f255,f90]) ).
fof(f757,plain,
! [X0] :
( ~ sQ42_spl
| product(X0,e_3,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f255,f97]) ).
fof(f758,plain,
( ~ sQ17_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f753,f83]) ).
fof(f759,plain,
( ~ sQ17_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f758]) ).
fof(f761,plain,
( ~ sQ41_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f252,f103]) ).
fof(f762,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f252,f94]) ).
fof(f763,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f252,f92]) ).
fof(f764,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f252,f90]) ).
fof(f765,plain,
! [X0] :
( ~ sQ41_spl
| product(X0,e_2,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f252,f97]) ).
fof(f768,plain,
( ~ sQ15_spl
| ~ sQ40_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f249,f609]) ).
fof(f769,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f249,f94]) ).
fof(f770,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f249,f92]) ).
fof(f771,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f249,f90]) ).
fof(f772,plain,
! [X0] :
( ~ sQ40_spl
| product(X0,e_1,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f249,f97]) ).
fof(f773,plain,
( ~ sQ15_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f768,f83]) ).
fof(f774,plain,
( ~ sQ15_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f773]) ).
fof(f778,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f245,f94]) ).
fof(f779,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f245,f92]) ).
fof(f780,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f245,f90]) ).
fof(f781,plain,
! [X0] :
( ~ sQ39_spl
| product(X0,e_5,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f245,f97]) ).
fof(f782,plain,
( ~ sQ38_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f242,f102]) ).
fof(f783,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f242,f94]) ).
fof(f784,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f242,f92]) ).
fof(f785,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f242,f90]) ).
fof(f786,plain,
! [X0] :
( ~ sQ38_spl
| product(X0,e_4,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f242,f97]) ).
fof(f787,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f782,f78]) ).
fof(f788,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f787]) ).
fof(f790,plain,
( ~ sQ37_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f239,f103]) ).
fof(f791,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f239,f94]) ).
fof(f792,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f239,f92]) ).
fof(f793,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f239,f90]) ).
fof(f794,plain,
! [X0] :
( ~ sQ37_spl
| product(X0,e_3,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f239,f97]) ).
fof(f797,plain,
( ~ sQ11_spl
| ~ sQ36_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f236,f639]) ).
fof(f798,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f236,f94]) ).
fof(f799,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f236,f92]) ).
fof(f800,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f236,f90]) ).
fof(f801,plain,
! [X0] :
( ~ sQ36_spl
| product(X0,e_2,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f236,f97]) ).
fof(f802,plain,
( ~ sQ11_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f797,f83]) ).
fof(f803,plain,
( ~ sQ11_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f802]) ).
fof(f804,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f233,f770]) ).
fof(f805,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f233,f94]) ).
fof(f806,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f233,f92]) ).
fof(f807,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f233,f90]) ).
fof(f808,plain,
! [X0] :
( ~ sQ35_spl
| product(X0,e_1,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f233,f97]) ).
fof(f809,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f804,f77]) ).
fof(f810,plain,
( ~ sQ40_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f809]) ).
fof(f811,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f746,f74]) ).
fof(f812,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f811]) ).
fof(f813,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f761,f81]) ).
fof(f814,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f813]) ).
fof(f815,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f229,f94]) ).
fof(f816,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f229,f92]) ).
fof(f817,plain,
( ~ sQ34_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f229,f100]) ).
fof(f818,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f229,f90]) ).
fof(f819,plain,
( ~ sQ34_spl
| product(e_5,e_4,e_4) ),
inference(resolution,[status(thm)],[f229,f98]) ).
fof(f820,plain,
! [X0] :
( ~ sQ34_spl
| product(X0,e_5,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f229,f97]) ).
fof(f821,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f817,f87]) ).
fof(f822,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f821]) ).
fof(f823,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f223,f94]) ).
fof(f824,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f223,f92]) ).
fof(f825,plain,
( ~ sQ32_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f223,f100]) ).
fof(f826,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f223,f90]) ).
fof(f827,plain,
( ~ sQ32_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f223,f98]) ).
fof(f828,plain,
! [X0] :
( ~ sQ32_spl
| product(X0,e_3,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f223,f97]) ).
fof(f829,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f825,f78]) ).
fof(f830,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f829]) ).
fof(f831,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f220,f94]) ).
fof(f832,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f220,f92]) ).
fof(f833,plain,
( ~ sQ31_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f220,f100]) ).
fof(f834,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f220,f90]) ).
fof(f835,plain,
( ~ sQ31_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f220,f98]) ).
fof(f836,plain,
! [X0] :
( ~ sQ31_spl
| product(X0,e_2,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f220,f97]) ).
fof(f837,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f833,f74]) ).
fof(f838,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f837]) ).
fof(f839,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f217,f94]) ).
fof(f840,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f217,f92]) ).
fof(f841,plain,
( ~ sQ30_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f217,f100]) ).
fof(f842,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f217,f90]) ).
fof(f843,plain,
( ~ sQ30_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f217,f98]) ).
fof(f844,plain,
! [X0] :
( ~ sQ30_spl
| product(X0,e_1,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f217,f97]) ).
fof(f845,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f841,f70]) ).
fof(f846,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f845]) ).
fof(f850,plain,
( ~ sQ5_spl
| ~ sQ29_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f213,f690]) ).
fof(f851,plain,
( ~ sQ39_spl
| ~ sQ29_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f213,f779]) ).
fof(f852,plain,
( ~ sQ29_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f213,f103]) ).
fof(f853,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f213,f94]) ).
fof(f854,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f213,f92]) ).
fof(f855,plain,
! [X0] :
( ~ sQ29_spl
| equalish(X0,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f213,f90]) ).
fof(f856,plain,
! [X0] :
( ~ sQ29_spl
| product(X0,e_5,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f213,f97]) ).
fof(f857,plain,
( ~ sQ5_spl
| ~ sQ29_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f850,f191,f212,f131]) ).
fof(f858,plain,
( ~ sQ39_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f851,f86]) ).
fof(f859,plain,
( ~ sQ39_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f858]) ).
fof(f860,plain,
( ~ sQ5_spl
| ~ sQ28_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f210,f690]) ).
fof(f861,plain,
( ~ sQ28_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f210,f102]) ).
fof(f862,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f210,f94]) ).
fof(f863,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f210,f92]) ).
fof(f864,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_4)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f210,f90]) ).
fof(f865,plain,
! [X0] :
( ~ sQ28_spl
| product(X0,e_4,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f210,f97]) ).
fof(f866,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f861,f87]) ).
fof(f867,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f866]) ).
fof(f868,plain,
( ~ sQ5_spl
| ~ sQ27_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f207,f690]) ).
fof(f869,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f207,f94]) ).
fof(f870,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f207,f92]) ).
fof(f871,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f207,f90]) ).
fof(f872,plain,
! [X0] :
( ~ sQ27_spl
| product(X0,e_3,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f207,f97]) ).
fof(f873,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ27_spl
| ~ greater(e_5,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f868,f62]) ).
fof(f874,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f868,f94]) ).
fof(f875,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ27_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f868,f92]) ).
fof(f876,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ27_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f868,f90]) ).
fof(f877,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ27_spl
| product(X0,e_5,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f868,f97]) ).
fof(f878,plain,
( ~ sQ5_spl
| ~ sQ27_spl
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f873,f60]) ).
fof(f879,plain,
( ~ sQ5_spl
| ~ sQ27_spl
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f873,f59]) ).
fof(f880,plain,
( ~ sQ5_spl
| ~ sQ27_spl
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f873,f57]) ).
fof(f881,plain,
( ~ sQ5_spl
| ~ sQ27_spl
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f873,f54]) ).
fof(f882,plain,
( ~ sQ5_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f878,f49]) ).
fof(f883,plain,
( ~ sQ5_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f882]) ).
fof(f884,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f679,f207]) ).
fof(f885,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f884,f94]) ).
fof(f886,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f884,f92]) ).
fof(f887,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f884,f90]) ).
fof(f888,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| product(X0,e_5,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f884,f97]) ).
fof(f895,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f204,f871]) ).
fof(f896,plain,
( ~ sQ6_spl
| ~ sQ26_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f204,f679]) ).
fof(f897,plain,
( ~ sQ46_spl
| ~ sQ26_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f204,f723]) ).
fof(f898,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f204,f94]) ).
fof(f899,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f204,f92]) ).
fof(f900,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f204,f90]) ).
fof(f901,plain,
! [X0] :
( ~ sQ26_spl
| product(X0,e_2,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f204,f97]) ).
fof(f902,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f895,f73]) ).
fof(f903,plain,
( ~ sQ27_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f902]) ).
fof(f904,plain,
( ~ sQ46_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f897,f84]) ).
fof(f905,plain,
( ~ sQ46_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f904]) ).
fof(f906,plain,
( ~ sQ6_spl
| ~ sQ25_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f201,f679]) ).
fof(f907,plain,
( ~ sQ40_spl
| ~ sQ25_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f201,f770]) ).
fof(f908,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f201,f94]) ).
fof(f909,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f201,f92]) ).
fof(f910,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_1)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f201,f90]) ).
fof(f911,plain,
! [X0] :
( ~ sQ25_spl
| product(X0,e_1,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f201,f97]) ).
fof(f912,plain,
( ~ sQ40_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f907,f85]) ).
fof(f913,plain,
( ~ sQ40_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f912]) ).
fof(f921,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ74_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f362,f886]) ).
fof(f922,plain,
! [X0] :
( ~ sQ74_spl
| ~ greater(e_5,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f362,f62]) ).
fof(f923,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f362,f94]) ).
fof(f924,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f362,f92]) ).
fof(f925,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f362,f90]) ).
fof(f926,plain,
! [X0] :
( ~ sQ74_spl
| product(X0,e_5,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f362,f97]) ).
fof(f927,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f921,f68]) ).
fof(f928,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f927]) ).
fof(f929,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f896,f94]) ).
fof(f930,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f896,f92]) ).
fof(f931,plain,
( ~ sQ6_spl
| ~ sQ26_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f896,f100]) ).
fof(f932,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ26_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f896,f90]) ).
fof(f933,plain,
( ~ sQ6_spl
| ~ sQ26_spl
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f896,f98]) ).
fof(f934,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ26_spl
| product(X0,e_5,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f896,f97]) ).
fof(f935,plain,
( ~ sQ6_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f931,f85]) ).
fof(f936,plain,
( ~ sQ6_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f935]) ).
fof(f944,plain,
! [X0] :
( ~ sQ73_spl
| ~ greater(e_4,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f359,f62]) ).
fof(f945,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f359,f94]) ).
fof(f946,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f359,f92]) ).
fof(f947,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f359,f90]) ).
fof(f948,plain,
! [X0] :
( ~ sQ73_spl
| product(X0,e_4,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f359,f97]) ).
fof(f950,plain,
! [X0] :
( ~ sQ72_spl
| ~ greater(e_3,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f356,f62]) ).
fof(f951,plain,
( ~ sQ72_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f356,f102]) ).
fof(f952,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f356,f94]) ).
fof(f953,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f356,f92]) ).
fof(f954,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f356,f90]) ).
fof(f955,plain,
! [X0] :
( ~ sQ72_spl
| product(X0,e_3,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f356,f97]) ).
fof(f958,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f951,f69]) ).
fof(f959,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f958]) ).
fof(f960,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f790,f82]) ).
fof(f961,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f960]) ).
fof(f962,plain,
! [X0] :
( ~ sQ71_spl
| ~ greater(e_2,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f353,f62]) ).
fof(f963,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f353,f94]) ).
fof(f964,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f353,f92]) ).
fof(f965,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f353,f90]) ).
fof(f966,plain,
! [X0] :
( ~ sQ71_spl
| product(X0,e_2,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f353,f97]) ).
fof(f967,plain,
! [X0] :
( ~ sQ70_spl
| ~ greater(e_1,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f350,f62]) ).
fof(f968,plain,
( ~ sQ70_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f350,f103]) ).
fof(f969,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f350,f94]) ).
fof(f970,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f350,f92]) ).
fof(f971,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f350,f90]) ).
fof(f972,plain,
! [X0] :
( ~ sQ70_spl
| product(X0,e_1,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f350,f97]) ).
fof(f973,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f968,f76]) ).
fof(f974,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f973]) ).
fof(f975,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ68_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f343,f887]) ).
fof(f976,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f343,f94]) ).
fof(f977,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f343,f92]) ).
fof(f978,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f343,f90]) ).
fof(f979,plain,
! [X0] :
( ~ sQ68_spl
| product(X0,e_4,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f343,f97]) ).
fof(f980,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f975,f83]) ).
fof(f981,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f980]) ).
fof(f983,plain,
( ~ sQ17_spl
| ~ sQ67_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f340,f593]) ).
fof(f984,plain,
( ~ sQ67_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f340,f102]) ).
fof(f985,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f340,f94]) ).
fof(f986,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f340,f92]) ).
fof(f987,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f340,f90]) ).
fof(f988,plain,
! [X0] :
( ~ sQ67_spl
| product(X0,e_3,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f340,f97]) ).
fof(f991,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ66_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f337,f887]) ).
fof(f992,plain,
( ~ sQ66_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f337,f103]) ).
fof(f993,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f337,f94]) ).
fof(f994,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f337,f92]) ).
fof(f995,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f337,f90]) ).
fof(f996,plain,
! [X0] :
( ~ sQ66_spl
| product(X0,e_2,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f337,f97]) ).
fof(f997,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f991,f75]) ).
fof(f998,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f997]) ).
fof(f999,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ65_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f334,f887]) ).
fof(f1000,plain,
( ~ sQ40_spl
| ~ sQ65_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f334,f769]) ).
fof(f1001,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f334,f94]) ).
fof(f1002,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f334,f92]) ).
fof(f1003,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f334,f90]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ65_spl
| product(X0,e_1,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f334,f97]) ).
fof(f1005,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f999,f71]) ).
fof(f1006,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1005]) ).
fof(f1009,plain,
( ~ sQ71_spl
| ~ sQ73_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f947,f353]) ).
fof(f1011,plain,
( ~ sQ71_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1009,f74]) ).
fof(f1012,plain,
( ~ sQ71_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1011]) ).
fof(f1013,plain,
( ~ sQ71_spl
| ~ sQ46_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f722,f353]) ).
fof(f1014,plain,
( ~ sQ71_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1013,f78]) ).
fof(f1015,plain,
( ~ sQ71_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1014]) ).
fof(f1019,plain,
( ~ sQ71_spl
| ~ sQ21_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f562,f353]) ).
fof(f1020,plain,
( ~ sQ71_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1019,f79]) ).
fof(f1021,plain,
( ~ sQ71_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1020]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f330,f94]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f330,f92]) ).
fof(f1025,plain,
( ~ sQ64_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f330,f100]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_5)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f330,f90]) ).
fof(f1027,plain,
( ~ sQ64_spl
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f330,f98]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ64_spl
| product(X0,e_5,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f330,f97]) ).
fof(f1031,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f327,f94]) ).
fof(f1032,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f327,f92]) ).
fof(f1033,plain,
( ~ sQ63_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f327,f100]) ).
fof(f1034,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f327,f90]) ).
fof(f1035,plain,
( ~ sQ63_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f327,f98]) ).
fof(f1036,plain,
! [X0] :
( ~ sQ63_spl
| product(X0,e_4,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f327,f97]) ).
fof(f1037,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1033,f82]) ).
fof(f1038,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f1037]) ).
fof(f1040,plain,
( ~ sQ36_spl
| ~ sQ61_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f321,f798]) ).
fof(f1041,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f321,f94]) ).
fof(f1042,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f321,f92]) ).
fof(f1043,plain,
( ~ sQ61_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f321,f100]) ).
fof(f1044,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f321,f90]) ).
fof(f1045,plain,
( ~ sQ61_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f321,f98]) ).
fof(f1046,plain,
! [X0] :
( ~ sQ61_spl
| product(X0,e_2,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f321,f97]) ).
fof(f1050,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f318,f94]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f318,f92]) ).
fof(f1052,plain,
( ~ sQ60_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f318,f100]) ).
fof(f1053,plain,
! [X0] :
( ~ sQ60_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f318,f90]) ).
fof(f1054,plain,
( ~ sQ60_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f318,f98]) ).
fof(f1055,plain,
! [X0] :
( ~ sQ60_spl
| product(X0,e_1,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f318,f97]) ).
fof(f1058,plain,
( ~ sQ36_spl
| ~ sQ59_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f314,f801]) ).
fof(f1059,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ59_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f314,f886]) ).
fof(f1060,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f314,f94]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f314,f92]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f314,f90]) ).
fof(f1063,plain,
! [X0] :
( ~ sQ59_spl
| product(X0,e_5,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f314,f97]) ).
fof(f1064,plain,
( ~ sQ36_spl
| ~ sQ59_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1058,f172,f313,f235]) ).
fof(f1065,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1059,f81]) ).
fof(f1066,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1065]) ).
fof(f1068,plain,
( ~ sQ58_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f311,f103]) ).
fof(f1069,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f311,f94]) ).
fof(f1070,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f311,f92]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f311,f90]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ58_spl
| product(X0,e_4,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f311,f97]) ).
fof(f1074,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1068,f78]) ).
fof(f1075,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f1074]) ).
fof(f1077,plain,
( ~ sQ57_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f308,f102]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f308,f94]) ).
fof(f1079,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f308,f92]) ).
fof(f1080,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f308,f90]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ57_spl
| product(X0,e_3,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f308,f97]) ).
fof(f1083,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1077,f82]) ).
fof(f1084,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f1083]) ).
fof(f1085,plain,
( ~ sQ36_spl
| ~ sQ56_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f305,f801]) ).
fof(f1086,plain,
( ~ sQ71_spl
| ~ sQ56_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f305,f964]) ).
fof(f1087,plain,
( ~ sQ6_spl
| ~ sQ56_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f305,f676]) ).
fof(f1088,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f305,f94]) ).
fof(f1089,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f305,f92]) ).
fof(f1090,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f305,f90]) ).
fof(f1091,plain,
! [X0] :
( ~ sQ56_spl
| product(X0,e_2,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f305,f97]) ).
fof(f1092,plain,
( ~ sQ71_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1086,f80]) ).
fof(f1093,plain,
( ~ sQ71_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1092]) ).
fof(f1094,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f302,f801]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f302,f94]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f302,f92]) ).
fof(f1097,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f302,f90]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ55_spl
| product(X0,e_1,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f302,f97]) ).
fof(f1100,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ55_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1094,f92]) ).
fof(f1102,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ55_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1094,f97]) ).
fof(f1111,plain,
( ~ sQ54_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f298,f103]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f298,f94]) ).
fof(f1113,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f298,f92]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f298,f90]) ).
fof(f1115,plain,
! [X0] :
( ~ sQ54_spl
| product(X0,e_5,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f298,f97]) ).
fof(f1119,plain,
( ~ sQ10_spl
| ~ sQ53_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f295,f651]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f295,f94]) ).
fof(f1121,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f295,f92]) ).
fof(f1122,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f295,f90]) ).
fof(f1123,plain,
! [X0] :
( ~ sQ53_spl
| product(X0,e_4,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f295,f97]) ).
fof(f1124,plain,
( ~ sQ10_spl
| ~ sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f1119,f276,f294,f147]) ).
fof(f1127,plain,
( ~ sQ52_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f292,f102]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f292,f94]) ).
fof(f1129,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f292,f92]) ).
fof(f1130,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_3)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f292,f90]) ).
fof(f1131,plain,
! [X0] :
( ~ sQ52_spl
| product(X0,e_3,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f292,f97]) ).
fof(f1135,plain,
( ~ sQ10_spl
| ~ sQ51_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f289,f651]) ).
fof(f1136,plain,
( ~ sQ71_spl
| ~ sQ51_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f289,f964]) ).
fof(f1137,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f289,f94]) ).
fof(f1138,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f289,f92]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f289,f90]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ51_spl
| product(X0,e_2,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f289,f97]) ).
fof(f1141,plain,
( ~ sQ71_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1136,f84]) ).
fof(f1142,plain,
( ~ sQ71_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1141]) ).
fof(f1143,plain,
( ~ sQ10_spl
| ~ sQ50_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f286,f651]) ).
fof(f1144,plain,
( ~ sQ55_spl
| ~ sQ50_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f286,f1096]) ).
fof(f1145,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f286,f94]) ).
fof(f1146,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f286,f92]) ).
fof(f1147,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f286,f90]) ).
fof(f1148,plain,
! [X0] :
( ~ sQ50_spl
| product(X0,e_1,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f286,f97]) ).
fof(f1149,plain,
( ~ sQ55_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1144,f87]) ).
fof(f1150,plain,
( ~ sQ55_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1149]) ).
fof(f1152,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ51_spl
| ~ greater(e_5,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f1135,f62]) ).
fof(f1153,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ51_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1135,f94]) ).
fof(f1154,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1135,f92]) ).
fof(f1155,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ51_spl
| equalish(X0,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1135,f90]) ).
fof(f1156,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ51_spl
| product(X0,e_5,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1135,f97]) ).
fof(f1158,plain,
( ~ sQ74_spl
| ~ sQ99_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f447,f923]) ).
fof(f1159,plain,
! [X0] :
( ~ sQ99_spl
| ~ greater(e_5,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f447,f62]) ).
fof(f1160,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f447,f94]) ).
fof(f1161,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f447,f92]) ).
fof(f1162,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f447,f90]) ).
fof(f1163,plain,
! [X0] :
( ~ sQ99_spl
| product(X0,e_5,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f447,f97]) ).
fof(f1164,plain,
( ~ sQ74_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1158,f73]) ).
fof(f1165,plain,
( ~ sQ74_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1164]) ).
fof(f1166,plain,
! [X0] :
( ~ sQ98_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f444,f62]) ).
fof(f1167,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f444,f94]) ).
fof(f1168,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f444,f92]) ).
fof(f1169,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f444,f90]) ).
fof(f1170,plain,
! [X0] :
( ~ sQ98_spl
| product(X0,e_4,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f444,f97]) ).
fof(f1171,plain,
( ~ sQ47_spl
| ~ sQ97_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f441,f707]) ).
fof(f1172,plain,
! [X0] :
( ~ sQ97_spl
| ~ greater(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f441,f62]) ).
fof(f1173,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f441,f94]) ).
fof(f1174,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f441,f92]) ).
fof(f1175,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f441,f90]) ).
fof(f1176,plain,
! [X0] :
( ~ sQ97_spl
| product(X0,e_3,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f441,f97]) ).
fof(f1177,plain,
( ~ sQ47_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1171,f74]) ).
fof(f1178,plain,
( ~ sQ47_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f1177]) ).
fof(f1180,plain,
! [X0] :
( ~ sQ96_spl
| ~ greater(e_2,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f438,f62]) ).
fof(f1181,plain,
( ~ sQ96_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f438,f102]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f438,f94]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f438,f92]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f438,f90]) ).
fof(f1185,plain,
! [X0] :
( ~ sQ96_spl
| product(X0,e_2,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f438,f97]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ95_spl
| ~ greater(e_1,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f435,f62]) ).
fof(f1189,plain,
( ~ sQ95_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f435,f103]) ).
fof(f1190,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f435,f94]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f435,f92]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f435,f90]) ).
fof(f1193,plain,
! [X0] :
( ~ sQ95_spl
| product(X0,e_1,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f435,f97]) ).
fof(f1194,plain,
( ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1189,f72]) ).
fof(f1195,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1194]) ).
fof(f1196,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f431,f94]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f431,f92]) ).
fof(f1198,plain,
( ~ sQ94_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f431,f100]) ).
fof(f1199,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f431,f90]) ).
fof(f1200,plain,
( ~ sQ94_spl
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f431,f98]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ94_spl
| product(X0,e_5,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f431,f97]) ).
fof(f1202,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1198,f85]) ).
fof(f1203,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f1202]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f428,f94]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f428,f92]) ).
fof(f1206,plain,
( ~ sQ93_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f428,f100]) ).
fof(f1207,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f428,f90]) ).
fof(f1208,plain,
( ~ sQ93_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f428,f98]) ).
fof(f1209,plain,
! [X0] :
( ~ sQ93_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f428,f97]) ).
fof(f1210,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1206,f81]) ).
fof(f1211,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f1210]) ).
fof(f1212,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f425,f94]) ).
fof(f1213,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f425,f92]) ).
fof(f1214,plain,
( ~ sQ92_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f425,f100]) ).
fof(f1215,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f425,f90]) ).
fof(f1216,plain,
( ~ sQ92_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f425,f98]) ).
fof(f1217,plain,
! [X0] :
( ~ sQ92_spl
| product(X0,e_3,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f425,f97]) ).
fof(f1218,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1214,f77]) ).
fof(f1219,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f1218]) ).
fof(f1220,plain,
( ~ sQ15_spl
| ~ sQ90_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f419,f609]) ).
fof(f1221,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f419,f94]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f419,f92]) ).
fof(f1223,plain,
( ~ sQ90_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f419,f100]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ90_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f419,f90]) ).
fof(f1225,plain,
( ~ sQ90_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f419,f98]) ).
fof(f1226,plain,
! [X0] :
( ~ sQ90_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f419,f97]) ).
fof(f1227,plain,
( ~ sQ15_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1220,f75]) ).
fof(f1228,plain,
( ~ sQ15_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f1227]) ).
fof(f1229,plain,
( ~ sQ98_spl
| ~ sQ73_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f945,f444]) ).
fof(f1230,plain,
( ~ sQ98_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1229,f73]) ).
fof(f1231,plain,
( ~ sQ98_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1230]) ).
fof(f1232,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f415,f94]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f415,f92]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f415,f90]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ89_spl
| product(X0,e_5,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f415,f97]) ).
fof(f1239,plain,
( ~ sQ89_spl
| ~ sQ88_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f412,f1234]) ).
fof(f1240,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f412,f94]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f412,f92]) ).
fof(f1242,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f412,f90]) ).
fof(f1243,plain,
! [X0] :
( ~ sQ88_spl
| product(X0,e_4,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f412,f97]) ).
fof(f1244,plain,
( ~ sQ89_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1239,f83]) ).
fof(f1245,plain,
( ~ sQ89_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f1244]) ).
fof(f1247,plain,
( ~ sQ87_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f409,f103]) ).
fof(f1248,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f409,f94]) ).
fof(f1249,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f409,f92]) ).
fof(f1250,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f409,f90]) ).
fof(f1251,plain,
! [X0] :
( ~ sQ87_spl
| product(X0,e_3,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f409,f97]) ).
fof(f1255,plain,
( ~ sQ86_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f406,f102]) ).
fof(f1256,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f406,f94]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f406,f92]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f406,f90]) ).
fof(f1259,plain,
! [X0] :
( ~ sQ86_spl
| product(X0,e_2,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f406,f97]) ).
fof(f1262,plain,
( ~ sQ35_spl
| ~ sQ85_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f403,f805]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f403,f94]) ).
fof(f1264,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f403,f92]) ).
fof(f1265,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f403,f90]) ).
fof(f1266,plain,
! [X0] :
( ~ sQ85_spl
| product(X0,e_1,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f403,f97]) ).
fof(f1267,plain,
( ~ sQ35_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1262,f74]) ).
fof(f1268,plain,
( ~ sQ35_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1267]) ).
fof(f1269,plain,
( ~ sQ42_spl
| ~ sQ84_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f399,f757]) ).
fof(f1270,plain,
( ~ sQ59_spl
| ~ sQ84_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f399,f1060]) ).
fof(f1271,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f399,f94]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f399,f92]) ).
fof(f1273,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f399,f90]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ84_spl
| product(X0,e_5,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f399,f97]) ).
fof(f1275,plain,
( ~ sQ59_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1270,f73]) ).
fof(f1276,plain,
( ~ sQ59_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f1275]) ).
fof(f1277,plain,
( ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1127,f86]) ).
fof(f1278,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f1277]) ).
fof(f1279,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1111,f79]) ).
fof(f1280,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f1279]) ).
fof(f1283,plain,
( ~ sQ83_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f396,f103]) ).
fof(f1284,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f396,f94]) ).
fof(f1285,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f396,f92]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f396,f90]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ83_spl
| product(X0,e_4,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f396,f97]) ).
fof(f1291,plain,
( ~ sQ42_spl
| ~ sQ82_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f393,f757]) ).
fof(f1292,plain,
( ~ sQ97_spl
| ~ sQ82_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f393,f1174]) ).
fof(f1293,plain,
( ~ sQ7_spl
| ~ sQ82_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f393,f669]) ).
fof(f1294,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f393,f94]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f393,f92]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f393,f90]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ82_spl
| product(X0,e_3,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f393,f97]) ).
fof(f1298,plain,
( ~ sQ42_spl
| ~ sQ82_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f1291,f326,f392,f254]) ).
fof(f1299,plain,
( ~ sQ97_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1292,f80]) ).
fof(f1300,plain,
( ~ sQ97_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f1299]) ).
fof(f1301,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1181,f68]) ).
fof(f1302,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f1301]) ).
fof(f1303,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1255,f77]) ).
fof(f1304,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f1303]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ55_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1094,f97]) ).
fof(f1316,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ97_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1176,f1094]) ).
fof(f1317,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ85_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f1266,f884]) ).
fof(f1318,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ85_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1317,f182,f402,f134,f206]) ).
fof(f1319,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ88_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1243,f884]) ).
fof(f1320,plain,
( ~ sQ55_spl
| ~ sQ36_spl
| ~ sQ97_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f1316,f1098]) ).
fof(f1325,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ88_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f1319,f872]) ).
fof(f1327,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ88_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1319,f92]) ).
fof(f1328,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ88_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1319,f90]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ36_spl
| ~ sQ97_spl
| ~ greater(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f1320,f62]) ).
fof(f1336,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ88_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1325,f888]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ88_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1325,f92]) ).
fof(f1344,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ88_spl
| equalish(X0,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1336,f90]) ).
fof(f1346,plain,
( ~ sQ55_spl
| ~ sQ36_spl
| ~ sQ97_spl
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f1331,f55]) ).
fof(f1347,plain,
( ~ sQ55_spl
| ~ sQ36_spl
| ~ sQ97_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f1331,f52]) ).
fof(f1351,plain,
( ~ sQ81_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f390,f102]) ).
fof(f1352,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f390,f94]) ).
fof(f1353,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f390,f92]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f390,f90]) ).
fof(f1355,plain,
! [X0] :
( ~ sQ81_spl
| product(X0,e_2,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f390,f97]) ).
fof(f1357,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1351,f81]) ).
fof(f1358,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f1357]) ).
fof(f1359,plain,
( ~ sQ40_spl
| ~ sQ80_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f387,f772]) ).
fof(f1360,plain,
( ~ sQ55_spl
| ~ sQ80_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f387,f1095]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f387,f94]) ).
fof(f1362,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f387,f92]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f387,f90]) ).
fof(f1364,plain,
! [X0] :
( ~ sQ80_spl
| product(X0,e_1,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f387,f97]) ).
fof(f1365,plain,
( ~ sQ55_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1360,f73]) ).
fof(f1366,plain,
( ~ sQ55_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1365]) ).
fof(f1367,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1283,f74]) ).
fof(f1368,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f1367]) ).
fof(f1369,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1247,f73]) ).
fof(f1370,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f1369]) ).
fof(f1372,plain,
( ~ sQ79_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f383,f103]) ).
fof(f1373,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f383,f94]) ).
fof(f1374,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f383,f92]) ).
fof(f1375,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f383,f90]) ).
fof(f1376,plain,
! [X0] :
( ~ sQ79_spl
| product(X0,e_5,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f383,f97]) ).
fof(f1378,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1372,f75]) ).
fof(f1379,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f1378]) ).
fof(f1380,plain,
( ~ sQ17_spl
| ~ sQ78_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f380,f596]) ).
fof(f1381,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f380,f94]) ).
fof(f1382,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f380,f92]) ).
fof(f1383,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f380,f90]) ).
fof(f1384,plain,
! [X0] :
( ~ sQ78_spl
| product(X0,e_4,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f380,f97]) ).
fof(f1385,plain,
( ~ sQ17_spl
| ~ sQ77_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f377,f596]) ).
fof(f1386,plain,
( ~ sQ27_spl
| ~ sQ77_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f377,f869]) ).
fof(f1387,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f377,f94]) ).
fof(f1388,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f377,f92]) ).
fof(f1389,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f377,f90]) ).
fof(f1390,plain,
! [X0] :
( ~ sQ77_spl
| product(X0,e_3,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f377,f97]) ).
fof(f1391,plain,
( ~ sQ17_spl
| ~ sQ77_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1385,f329,f376,f169]) ).
fof(f1392,plain,
( ~ sQ27_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1386,f74]) ).
fof(f1393,plain,
( ~ sQ27_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f1392]) ).
fof(f1395,plain,
( ~ sQ76_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f374,f102]) ).
fof(f1396,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f374,f94]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f374,f92]) ).
fof(f1398,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_2)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f374,f90]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ76_spl
| product(X0,e_2,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f374,f97]) ).
fof(f1401,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1395,f85]) ).
fof(f1402,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f1401]) ).
fof(f1403,plain,
( ~ sQ17_spl
| ~ sQ75_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f371,f596]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f371,f94]) ).
fof(f1405,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f371,f92]) ).
fof(f1406,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f371,f90]) ).
fof(f1407,plain,
! [X0] :
( ~ sQ75_spl
| product(X0,e_1,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f371,f97]) ).
fof(f1425,plain,
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ78_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1380,f1098]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1380,f94]) ).
fof(f1427,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1380,f92]) ).
fof(f1428,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1380,f90]) ).
fof(f1429,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ78_spl
| product(X0,e_5,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1380,f97]) ).
fof(f1430,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1403,f94]) ).
fof(f1431,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1403,f92]) ).
fof(f1433,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| product(X0,e_5,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1403,f97]) ).
fof(f1434,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ78_spl
| ~ greater(e_3,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f1425,f62]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1425,f94]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ78_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1425,f92]) ).
fof(f1437,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1425,f90]) ).
fof(f1438,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ78_spl
| product(X0,e_3,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1425,f97]) ).
fof(f1439,plain,
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ71_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f966,f1403]) ).
fof(f1440,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ98_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f1170,f1094]) ).
fof(f1441,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ98_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f1440,f219,f443,f301,f235]) ).
fof(f1446,plain,
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ78_spl
| ~ next(e_5,e_2) ),
inference(resolution,[status(thm)],[f1434,f55]) ).
fof(f1447,plain,
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ78_spl
| ~ next(e_5,e_1) ),
inference(resolution,[status(thm)],[f1434,f52]) ).
fof(f1453,plain,
( ~ sQ78_spl
| ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ88_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1338,f380]) ).
fof(f1454,plain,
( ~ sQ78_spl
| ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1453,f86]) ).
fof(f1455,plain,
( ~ sQ78_spl
| ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f1454]) ).
fof(f1459,plain,
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ71_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f1407,f1439]) ).
fof(f1462,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ71_spl
| ~ greater(e_2,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f1459,f62]) ).
fof(f1463,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ71_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f1459,f94]) ).
fof(f1464,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1459,f92]) ).
fof(f1467,plain,
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ71_spl
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f1462,f51]) ).
fof(f1476,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ88_spl
| ~ sQ13_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f623,f1325]) ).
fof(f1477,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ88_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1476,f75]) ).
fof(f1478,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ88_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1477]) ).
fof(f1479,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ89_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f1235,f884]) ).
fof(f1480,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ89_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1479,f94]) ).
fof(f1481,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ89_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1479,f92]) ).
fof(f1482,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ89_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1479,f100]) ).
fof(f1483,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ89_spl
| equalish(X0,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f1479,f90]) ).
fof(f1484,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ89_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f1479,f98]) ).
fof(f1485,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ89_spl
| product(X0,e_2,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f1479,f97]) ).
fof(f1486,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1482,f75]) ).
fof(f1487,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1486]) ).
fof(f1490,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ88_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1319,f94]) ).
fof(f1508,plain,
! [X0] :
( ~ sQ124_spl
| ~ greater(e_5,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f532,f62]) ).
fof(f1509,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f532,f94]) ).
fof(f1510,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f532,f92]) ).
fof(f1511,plain,
( ~ sQ124_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f532,f100]) ).
fof(f1512,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f532,f90]) ).
fof(f1513,plain,
( ~ sQ124_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f532,f98]) ).
fof(f1514,plain,
! [X0] :
( ~ sQ124_spl
| product(X0,e_5,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f532,f97]) ).
fof(f1517,plain,
! [X0] :
( ~ sQ123_spl
| ~ greater(e_4,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f529,f62]) ).
fof(f1518,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f529,f94]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f529,f92]) ).
fof(f1520,plain,
( ~ sQ123_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f529,f100]) ).
fof(f1521,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f529,f90]) ).
fof(f1522,plain,
( ~ sQ123_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f529,f98]) ).
fof(f1523,plain,
! [X0] :
( ~ sQ123_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f529,f97]) ).
fof(f1524,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1520,f80]) ).
fof(f1525,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f1524]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ122_spl
| ~ greater(e_3,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f526,f62]) ).
fof(f1527,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f526,f94]) ).
fof(f1528,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f526,f92]) ).
fof(f1529,plain,
( ~ sQ122_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f526,f100]) ).
fof(f1530,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f526,f90]) ).
fof(f1531,plain,
( ~ sQ122_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f526,f98]) ).
fof(f1532,plain,
! [X0] :
( ~ sQ122_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f526,f97]) ).
fof(f1533,plain,
( ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1529,f76]) ).
fof(f1534,plain,
~ sQ122_spl,
inference(contradiction_clause,[status(thm)],[f1533]) ).
fof(f1535,plain,
! [X0] :
( ~ sQ121_spl
| ~ greater(e_2,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f523,f62]) ).
fof(f1536,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f523,f94]) ).
fof(f1537,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f523,f92]) ).
fof(f1538,plain,
( ~ sQ121_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f523,f100]) ).
fof(f1539,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f523,f90]) ).
fof(f1540,plain,
( ~ sQ121_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f523,f98]) ).
fof(f1541,plain,
! [X0] :
( ~ sQ121_spl
| product(X0,e_2,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f523,f97]) ).
fof(f1542,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1538,f72]) ).
fof(f1543,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f1542]) ).
fof(f1544,plain,
( ~ sQ98_spl
| ~ sQ119_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f516,f1170]) ).
fof(f1545,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ119_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f516,f885]) ).
fof(f1546,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f516,f94]) ).
fof(f1547,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f516,f92]) ).
fof(f1548,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f516,f90]) ).
fof(f1549,plain,
! [X0] :
( ~ sQ119_spl
| product(X0,e_5,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f516,f97]) ).
fof(f1550,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1545,f69]) ).
fof(f1551,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f1550]) ).
fof(f1552,plain,
( ~ sQ98_spl
| ~ sQ118_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f513,f1170]) ).
fof(f1553,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f513,f94]) ).
fof(f1554,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f513,f92]) ).
fof(f1555,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f513,f90]) ).
fof(f1556,plain,
! [X0] :
( ~ sQ118_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f513,f97]) ).
fof(f1557,plain,
( ~ sQ98_spl
| ~ sQ118_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f1552,f219,f512,f443]) ).
fof(f1558,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1025,f86]) ).
fof(f1559,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f1558]) ).
fof(f1560,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f510,f94]) ).
fof(f1561,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f510,f92]) ).
fof(f1562,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f510,f90]) ).
fof(f1563,plain,
! [X0] :
( ~ sQ117_spl
| product(X0,e_3,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f510,f97]) ).
fof(f1564,plain,
( ~ sQ116_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f507,f103]) ).
fof(f1565,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f507,f94]) ).
fof(f1566,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f507,f92]) ).
fof(f1567,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f507,f90]) ).
fof(f1568,plain,
! [X0] :
( ~ sQ116_spl
| product(X0,e_2,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f507,f97]) ).
fof(f1569,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1564,f68]) ).
fof(f1570,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f1569]) ).
fof(f1571,plain,
( ~ sQ115_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f504,f102]) ).
fof(f1572,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f504,f94]) ).
fof(f1573,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f504,f92]) ).
fof(f1574,plain,
! [X0] :
( ~ sQ115_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f504,f90]) ).
fof(f1575,plain,
! [X0] :
( ~ sQ115_spl
| product(X0,e_1,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f504,f97]) ).
fof(f1576,plain,
( ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1571,f72]) ).
fof(f1577,plain,
~ sQ115_spl,
inference(contradiction_clause,[status(thm)],[f1576]) ).
fof(f1578,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ25_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f906,f94]) ).
fof(f1579,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f906,f92]) ).
fof(f1580,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ25_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f906,f90]) ).
fof(f1581,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ25_spl
| product(X0,e_5,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f906,f97]) ).
fof(f1585,plain,
( ~ sQ117_spl
| ~ sQ6_spl
| ~ sQ25_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1580,f510]) ).
fof(f1586,plain,
( ~ sQ117_spl
| ~ sQ6_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1585,f79]) ).
fof(f1587,plain,
( ~ sQ117_spl
| ~ sQ6_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1586]) ).
fof(f1588,plain,
( ~ sQ75_spl
| ~ sQ18_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f588,f371]) ).
fof(f1589,plain,
( ~ sQ49_spl
| ~ sQ75_spl
| ~ sQ18_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f1588,f697]) ).
fof(f1590,plain,
( ~ sQ6_spl
| ~ sQ25_spl
| ~ sQ75_spl
| ~ sQ18_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1588,f1579]) ).
fof(f1591,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ18_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1588,f94]) ).
fof(f1592,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1588,f92]) ).
fof(f1593,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ18_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1588,f90]) ).
fof(f1594,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ18_spl
| product(X0,e_5,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f1588,f97]) ).
fof(f1595,plain,
( ~ sQ6_spl
| ~ sQ25_spl
| ~ sQ75_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1590,f81]) ).
fof(f1596,plain,
( ~ sQ6_spl
| ~ sQ25_spl
| ~ sQ75_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1595]) ).
fof(f1597,plain,
( ~ sQ6_spl
| ~ sQ25_spl
| ~ sQ97_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f1176,f906]) ).
fof(f1598,plain,
( ~ sQ6_spl
| ~ sQ25_spl
| ~ sQ97_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f1597,f150,f440,f200,f134]) ).
fof(f1599,plain,
( ~ sQ73_spl
| ~ sQ114_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f500,f948]) ).
fof(f1600,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f500,f94]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f500,f92]) ).
fof(f1602,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f500,f90]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ114_spl
| product(X0,e_5,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f500,f97]) ).
fof(f1605,plain,
( ~ sQ25_spl
| ~ sQ73_spl
| ~ sQ114_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1599,f911]) ).
fof(f1608,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1599,f94]) ).
fof(f1609,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ114_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1599,f92]) ).
fof(f1610,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ114_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1599,f90]) ).
fof(f1611,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ114_spl
| product(X0,e_3,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1599,f97]) ).
fof(f1612,plain,
( ~ sQ114_spl
| ~ sQ25_spl
| ~ sQ73_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1605,f1603]) ).
fof(f1617,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ73_spl
| ~ sQ114_spl
| ~ greater(e_4,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f1605,f62]) ).
fof(f1624,plain,
( ~ sQ73_spl
| ~ sQ113_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f497,f948]) ).
fof(f1625,plain,
( ~ sQ88_spl
| ~ sQ113_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f497,f1240]) ).
fof(f1626,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f497,f94]) ).
fof(f1627,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f497,f92]) ).
fof(f1628,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f497,f90]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ113_spl
| product(X0,e_4,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f497,f97]) ).
fof(f1630,plain,
( ~ sQ73_spl
| ~ sQ113_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1624,f222,f496,f358]) ).
fof(f1631,plain,
( ~ sQ88_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1625,f68]) ).
fof(f1632,plain,
( ~ sQ88_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f1631]) ).
fof(f1633,plain,
( ~ sQ71_spl
| ~ sQ112_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f494,f966]) ).
fof(f1635,plain,
( ~ sQ112_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f494,f103]) ).
fof(f1636,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f494,f94]) ).
fof(f1637,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f494,f92]) ).
fof(f1638,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f494,f90]) ).
fof(f1639,plain,
! [X0] :
( ~ sQ112_spl
| product(X0,e_3,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f494,f97]) ).
fof(f1642,plain,
( ~ sQ71_spl
| ~ sQ111_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f491,f966]) ).
fof(f1643,plain,
( ~ sQ11_spl
| ~ sQ111_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f491,f639]) ).
fof(f1644,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f491,f94]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f491,f92]) ).
fof(f1646,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f491,f90]) ).
fof(f1647,plain,
! [X0] :
( ~ sQ111_spl
| product(X0,e_2,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f491,f97]) ).
fof(f1648,plain,
( ~ sQ71_spl
| ~ sQ111_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1642,f424,f490,f352]) ).
fof(f1649,plain,
( ~ sQ11_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1643,f71]) ).
fof(f1650,plain,
( ~ sQ11_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f1649]) ).
fof(f1651,plain,
( ~ sQ71_spl
| ~ sQ110_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f488,f966]) ).
fof(f1653,plain,
( ~ sQ110_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f488,f102]) ).
fof(f1654,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f488,f94]) ).
fof(f1655,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f488,f92]) ).
fof(f1656,plain,
! [X0] :
( ~ sQ110_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f488,f90]) ).
fof(f1657,plain,
! [X0] :
( ~ sQ110_spl
| product(X0,e_1,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f488,f97]) ).
fof(f1660,plain,
( ~ sQ59_spl
| ~ sQ109_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f484,f1060]) ).
fof(f1661,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f484,f94]) ).
fof(f1662,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f484,f92]) ).
fof(f1663,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f484,f90]) ).
fof(f1664,plain,
! [X0] :
( ~ sQ109_spl
| product(X0,e_5,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f484,f97]) ).
fof(f1665,plain,
( ~ sQ59_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1660,f69]) ).
fof(f1666,plain,
( ~ sQ59_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f1665]) ).
fof(f1667,plain,
( ~ sQ108_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f481,f103]) ).
fof(f1668,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f481,f94]) ).
fof(f1669,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f481,f92]) ).
fof(f1670,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f481,f90]) ).
fof(f1671,plain,
! [X0] :
( ~ sQ108_spl
| product(X0,e_4,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f481,f97]) ).
fof(f1672,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1667,f70]) ).
fof(f1673,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f1672]) ).
fof(f1674,plain,
( ~ sQ117_spl
| ~ sQ107_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f478,f1561]) ).
fof(f1675,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f478,f94]) ).
fof(f1676,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f478,f92]) ).
fof(f1677,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f478,f90]) ).
fof(f1678,plain,
! [X0] :
( ~ sQ107_spl
| product(X0,e_3,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f478,f97]) ).
fof(f1679,plain,
( ~ sQ117_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1674,f81]) ).
fof(f1680,plain,
( ~ sQ117_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f1679]) ).
fof(f1681,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f475,f94]) ).
fof(f1682,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f475,f92]) ).
fof(f1683,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f475,f90]) ).
fof(f1684,plain,
! [X0] :
( ~ sQ106_spl
| product(X0,e_2,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f475,f97]) ).
fof(f1685,plain,
( ~ sQ105_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f472,f102]) ).
fof(f1686,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f472,f94]) ).
fof(f1687,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f472,f92]) ).
fof(f1688,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f472,f90]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ105_spl
| product(X0,e_1,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f472,f97]) ).
fof(f1690,plain,
( ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1685,f80]) ).
fof(f1691,plain,
~ sQ105_spl,
inference(contradiction_clause,[status(thm)],[f1690]) ).
fof(f1692,plain,
( ~ sQ104_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f468,f103]) ).
fof(f1693,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f468,f94]) ).
fof(f1694,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f468,f92]) ).
fof(f1695,plain,
! [X0] :
( ~ sQ104_spl
| equalish(X0,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f468,f90]) ).
fof(f1696,plain,
! [X0] :
( ~ sQ104_spl
| product(X0,e_5,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f468,f97]) ).
fof(f1697,plain,
( ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1692,f71]) ).
fof(f1698,plain,
~ sQ104_spl,
inference(contradiction_clause,[status(thm)],[f1697]) ).
fof(f1699,plain,
( ~ sQ117_spl
| ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ71_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1439,f1560]) ).
fof(f1704,plain,
( ~ sQ117_spl
| ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1699,f84]) ).
fof(f1705,plain,
( ~ sQ117_spl
| ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1704]) ).
fof(f1706,plain,
( ~ sQ35_spl
| ~ sQ17_spl
| ~ sQ78_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1380,f807]) ).
fof(f1707,plain,
( ~ sQ59_spl
| ~ sQ17_spl
| ~ sQ78_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f1380,f1063]) ).
fof(f1708,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1380,f94]) ).
fof(f1709,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1380,f92]) ).
fof(f1710,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1380,f90]) ).
fof(f1711,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ78_spl
| product(X0,e_5,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1380,f97]) ).
fof(f1712,plain,
( ~ sQ35_spl
| ~ sQ17_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1706,f84]) ).
fof(f1713,plain,
( ~ sQ35_spl
| ~ sQ17_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1712]) ).
fof(f1714,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1653,f76]) ).
fof(f1715,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f1714]) ).
fof(f1716,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ50_spl
| ~ greater(e_5,X0)
| ~ next(e_1,X0) ),
inference(resolution,[status(thm)],[f1143,f62]) ).
fof(f1717,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1143,f94]) ).
fof(f1718,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1143,f92]) ).
fof(f1719,plain,
( ~ sQ10_spl
| ~ sQ50_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1143,f100]) ).
fof(f1720,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ50_spl
| equalish(X0,e_5)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1143,f90]) ).
fof(f1721,plain,
( ~ sQ10_spl
| ~ sQ50_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f1143,f98]) ).
fof(f1722,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ50_spl
| product(X0,e_5,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f1143,f97]) ).
fof(f1723,plain,
( ~ sQ10_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1719,f84]) ).
fof(f1724,plain,
( ~ sQ10_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1723]) ).
fof(f1725,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1635,f69]) ).
fof(f1726,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f1725]) ).
fof(f1736,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1403,f90]) ).
fof(f1738,plain,
( ~ sQ106_spl
| ~ sQ49_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f697,f475]) ).
fof(f1739,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ71_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1439,f94]) ).
fof(f1740,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1439,f92]) ).
fof(f1741,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ71_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1439,f90]) ).
fof(f1747,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ55_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1094,f97]) ).
fof(f1748,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ97_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1316,f94]) ).
fof(f1749,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1316,f92]) ).
fof(f1750,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ97_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1316,f90]) ).
fof(f1758,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1738,f94]) ).
fof(f1759,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1738,f92]) ).
fof(f1760,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1738,f90]) ).
fof(f1761,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ49_spl
| product(X0,e_4,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1738,f97]) ).
fof(f1773,plain,
( ~ sQ106_spl
| ~ sQ49_spl
| ~ sQ17_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f596,f1738]) ).
fof(f1776,plain,
( ~ sQ55_spl
| ~ sQ106_spl
| ~ sQ49_spl
| ~ sQ17_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1773,f1098]) ).
fof(f1777,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ49_spl
| ~ sQ17_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1773,f94]) ).
fof(f1778,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ49_spl
| ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1773,f92]) ).
fof(f1779,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ49_spl
| ~ sQ17_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1773,f90]) ).
fof(f1780,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ49_spl
| ~ sQ17_spl
| product(X0,e_5,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1773,f97]) ).
fof(f1781,plain,
( ~ sQ55_spl
| ~ sQ106_spl
| ~ sQ49_spl
| ~ sQ17_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f1776,f185,f169,f276,f474,f301]) ).
fof(f1796,plain,
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ71_spl
| ~ sQ113_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1629,f1459]) ).
fof(f1797,plain,
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ71_spl
| ~ sQ113_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1796,f386,f496,f352,f370,f169]) ).
fof(f1798,plain,
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ78_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f1425,f185,f379,f169,f301]) ).
fof(f1799,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ99_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f1163,f1094]) ).
fof(f1800,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ99_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f1799,f203,f446,f301,f235]) ).
fof(f1802,plain,
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ78_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f1380,f1098]) ).
fof(f1803,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1380,f94]) ).
fof(f1804,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1380,f92]) ).
fof(f1805,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1380,f90]) ).
fof(f1806,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ78_spl
| product(X0,e_5,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1380,f97]) ).
fof(f1807,plain,
( ~ sQ17_spl
| ~ sQ106_spl
| ~ sQ49_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f1738,f596]) ).
fof(f1811,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ49_spl
| product(X0,e_4,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1738,f97]) ).
fof(f1812,plain,
( ~ sQ22_spl
| ~ sQ103_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f465,f558]) ).
fof(f1813,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ103_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f465,f1100]) ).
fof(f1814,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f465,f94]) ).
fof(f1815,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f465,f92]) ).
fof(f1816,plain,
! [X0] :
( ~ sQ103_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f465,f90]) ).
fof(f1817,plain,
! [X0] :
( ~ sQ103_spl
| product(X0,e_4,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f465,f97]) ).
fof(f1818,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1813,f85]) ).
fof(f1819,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f1818]) ).
fof(f1820,plain,
( ~ sQ22_spl
| ~ sQ102_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f462,f558]) ).
fof(f1821,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f462,f94]) ).
fof(f1822,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f462,f92]) ).
fof(f1823,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f462,f90]) ).
fof(f1824,plain,
! [X0] :
( ~ sQ102_spl
| product(X0,e_3,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f462,f97]) ).
fof(f1825,plain,
( ~ sQ22_spl
| ~ sQ102_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1820,f329,f461,f185]) ).
fof(f1826,plain,
( ~ sQ22_spl
| ~ sQ101_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f459,f558]) ).
fof(f1827,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f459,f94]) ).
fof(f1828,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f459,f92]) ).
fof(f1829,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f459,f90]) ).
fof(f1830,plain,
! [X0] :
( ~ sQ101_spl
| product(X0,e_2,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f459,f97]) ).
fof(f1831,plain,
( ~ sQ22_spl
| ~ sQ100_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f456,f558]) ).
fof(f1832,plain,
( ~ sQ100_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f456,f102]) ).
fof(f1833,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f456,f94]) ).
fof(f1834,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f456,f92]) ).
fof(f1835,plain,
! [X0] :
( ~ sQ100_spl
| equalish(X0,e_1)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f456,f90]) ).
fof(f1836,plain,
! [X0] :
( ~ sQ100_spl
| product(X0,e_1,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f456,f97]) ).
fof(f1837,plain,
( ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1832,f84]) ).
fof(f1838,plain,
~ sQ100_spl,
inference(contradiction_clause,[status(thm)],[f1837]) ).
fof(f1856,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1802,f94]) ).
fof(f1857,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ78_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1802,f92]) ).
fof(f1858,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1802,f90]) ).
fof(f1859,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ17_spl
| ~ sQ78_spl
| product(X0,e_3,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1802,f97]) ).
fof(f1860,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1826,f94]) ).
fof(f1861,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ101_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1826,f92]) ).
fof(f1862,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1826,f90]) ).
fof(f1863,plain,
! [X0] :
( ~ sQ22_spl
| ~ sQ101_spl
| product(X0,e_5,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1826,f97]) ).
fof(f1868,plain,
( ~ sQ22_spl
| ~ sQ101_spl
| ~ sQ17_spl
| ~ sQ78_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1426,f1826]) ).
fof(f1870,plain,
( ~ sQ22_spl
| ~ sQ101_spl
| ~ sQ17_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1868,f74]) ).
fof(f1871,plain,
( ~ sQ22_spl
| ~ sQ101_spl
| ~ sQ17_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1870]) ).
fof(f1872,plain,
( ~ sQ42_spl
| ~ sQ84_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f1269,f156,f398,f254]) ).
fof(f1873,plain,
( sQ78_spl
| ~ sQ106_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f1738]) ).
fof(f1874,plain,
( sQ78_spl
| ~ sQ106_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1873]) ).
fof(f1882,plain,
( ~ sQ101_spl
| ~ sQ23_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f549,f459]) ).
fof(f1883,plain,
( ~ sQ40_spl
| ~ sQ101_spl
| ~ sQ23_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f1882,f772]) ).
fof(f1884,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ23_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1882,f94]) ).
fof(f1885,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1882,f92]) ).
fof(f1886,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ23_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1882,f90]) ).
fof(f1887,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ23_spl
| product(X0,e_5,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1882,f97]) ).
fof(f1888,plain,
( ~ sQ101_spl
| ~ sQ40_spl
| ~ sQ23_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1883,f1830]) ).
fof(f1889,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ101_spl
| ~ sQ23_spl
| ~ greater(e_4,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f1883,f62]) ).
fof(f1890,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ101_spl
| ~ sQ23_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1883,f94]) ).
fof(f1891,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ101_spl
| ~ sQ23_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1883,f92]) ).
fof(f1892,plain,
! [X0] :
( ~ sQ40_spl
| ~ sQ101_spl
| ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1883,f90]) ).
fof(f1895,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ40_spl
| ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1888,f94]) ).
fof(f1896,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ40_spl
| ~ sQ23_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1888,f92]) ).
fof(f1897,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ40_spl
| ~ sQ23_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1888,f90]) ).
fof(f1899,plain,
( ~ sQ40_spl
| ~ sQ101_spl
| ~ sQ23_spl
| ~ next(e_5,e_3) ),
inference(resolution,[status(thm)],[f1889,f58]) ).
fof(f1900,plain,
( ~ sQ40_spl
| ~ sQ101_spl
| ~ sQ23_spl
| ~ next(e_5,e_2) ),
inference(resolution,[status(thm)],[f1889,f56]) ).
fof(f1901,plain,
( ~ sQ40_spl
| ~ sQ101_spl
| ~ sQ23_spl
| ~ next(e_5,e_1) ),
inference(resolution,[status(thm)],[f1889,f53]) ).
fof(f1913,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ113_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1627,f1094]) ).
fof(f1914,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1913,f73]) ).
fof(f1915,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f1914]) ).
fof(f1916,plain,
( ~ sQ6_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1087,f79]) ).
fof(f1917,plain,
( ~ sQ6_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1916]) ).
fof(f1918,plain,
( ~ sQ22_spl
| ~ sQ101_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1826,f414,f458,f185]) ).
fof(f1919,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f884,f94]) ).
fof(f1920,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f884,f92]) ).
fof(f1921,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f884,f90]) ).
fof(f1922,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| product(X0,e_5,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f884,f97]) ).
fof(f1923,plain,
( ~ sQ73_spl
| ~ sQ17_spl
| ~ sQ75_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f1403,f948]) ).
fof(f1928,plain,
( ~ sQ73_spl
| ~ sQ17_spl
| ~ sQ75_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1923,f137,f370,f169,f358]) ).
fof(f1932,plain,
! [X0] :
( ~ sQ106_spl
| ~ sQ49_spl
| product(X0,e_4,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1738,f97]) ).
fof(f1936,plain,
( ~ sQ106_spl
| ~ sQ49_spl
| ~ sQ18_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f588,f1738]) ).
fof(f1937,plain,
( ~ sQ106_spl
| ~ sQ49_spl
| ~ sQ18_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1936,f228,f172,f276,f474]) ).
fof(f1938,plain,
( ~ sQ22_spl
| ~ sQ101_spl
| ~ sQ69_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f346,f1863]) ).
fof(f1939,plain,
( ~ sQ85_spl
| ~ sQ69_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f346,f1266]) ).
fof(f1940,plain,
( ~ sQ59_spl
| ~ sQ69_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f346,f1061]) ).
fof(f1941,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f346,f94]) ).
fof(f1942,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f346,f92]) ).
fof(f1943,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f346,f90]) ).
fof(f1944,plain,
! [X0] :
( ~ sQ69_spl
| product(X0,e_5,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f346,f97]) ).
fof(f1945,plain,
( ~ sQ85_spl
| ~ sQ69_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1939,f182,f345,f402]) ).
fof(f1946,plain,
( ~ sQ59_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1940,f74]) ).
fof(f1947,plain,
( ~ sQ59_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f1946]) ).
fof(f1948,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1052,f69]) ).
fof(f1949,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1948]) ).
fof(f1950,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1511,f84]) ).
fof(f1951,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f1950]) ).
fof(f1953,plain,
( ~ sQ47_spl
| ~ sQ106_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f475,f710]) ).
fof(f1954,plain,
( ~ sQ101_spl
| ~ sQ106_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f475,f1828]) ).
fof(f1961,plain,
( ~ sQ47_spl
| ~ sQ106_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1953,f411,f474,f270]) ).
fof(f1962,plain,
( ~ sQ101_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1954,f83]) ).
fof(f1963,plain,
( ~ sQ101_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f1962]) ).
fof(f1965,plain,
( ~ sQ101_spl
| ~ sQ22_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f186,f1830]) ).
fof(f1967,plain,
( ~ sQ97_spl
| ~ sQ22_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f186,f1173]) ).
fof(f1968,plain,
( ~ sQ22_spl
| equalish(e_5,e_5) ),
inference(resolution,[status(thm)],[f186,f555]) ).
fof(f1969,plain,
! [X0] :
( ~ sQ22_spl
| ~ greater(e_3,X0)
| ~ next(e_5,X0) ),
inference(resolution,[status(thm)],[f186,f62]) ).
fof(f1970,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f186,f94]) ).
fof(f1971,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f186,f92]) ).
fof(f1972,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f186,f90]) ).
fof(f1973,plain,
! [X0] :
( ~ sQ22_spl
| product(X0,e_3,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f186,f97]) ).
fof(f1974,plain,
( ~ sQ97_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1967,f85]) ).
fof(f1975,plain,
( ~ sQ97_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f1974]) ).
fof(f1977,plain,
( ~ sQ18_spl
| ~ sQ78_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f380,f588]) ).
fof(f1979,plain,
( ~ sQ53_spl
| ~ sQ78_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f380,f1120]) ).
fof(f1980,plain,
( ~ sQ78_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f380,f1381]) ).
fof(f1981,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f380,f94]) ).
fof(f1982,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f380,f92]) ).
fof(f1983,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f380,f90]) ).
fof(f1984,plain,
! [X0] :
( ~ sQ78_spl
| product(X0,e_4,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f380,f97]) ).
fof(f1985,plain,
( ~ sQ18_spl
| ~ sQ78_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1977,f228,f379,f172]) ).
fof(f1986,plain,
( ~ sQ53_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1979,f73]) ).
fof(f1987,plain,
( ~ sQ53_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1986]) ).
fof(f1988,plain,
( ~ sQ40_spl
| ~ sQ80_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f1359,f528,f386,f248]) ).
fof(f1990,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1043,f73]) ).
fof(f1991,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1990]) ).
fof(f1992,plain,
( ~ sQ68_spl
| ~ sQ85_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f403,f979]) ).
fof(f1995,plain,
( ~ sQ10_spl
| ~ sQ85_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f403,f648]) ).
fof(f1997,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f403,f94]) ).
fof(f1998,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f403,f92]) ).
fof(f1999,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f403,f90]) ).
fof(f2001,plain,
( ~ sQ10_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1995,f75]) ).
fof(f2002,plain,
( ~ sQ10_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f2001]) ).
fof(f2004,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f125,f94]) ).
fof(f2005,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f125,f92]) ).
fof(f2006,plain,
( ~ sQ3_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f125,f100]) ).
fof(f2007,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f125,f90]) ).
fof(f2008,plain,
( ~ sQ3_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f125,f98]) ).
fof(f2009,plain,
! [X0] :
( ~ sQ3_spl
| product(X0,e_4,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f125,f97]) ).
fof(f2012,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2006,f83]) ).
fof(f2013,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f2012]) ).
fof(f2017,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| product(X0,e_5,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1403,f97]) ).
fof(f2018,plain,
( ~ sQ10_spl
| ~ sQ51_spl
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f1152,f60]) ).
fof(f2019,plain,
( ~ sQ10_spl
| ~ sQ51_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f1152,f59]) ).
fof(f2020,plain,
( ~ sQ10_spl
| ~ sQ51_spl
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f1152,f57]) ).
fof(f2021,plain,
( ~ sQ10_spl
| ~ sQ51_spl
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f1152,f54]) ).
fof(f2022,plain,
( ~ sQ10_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2019,f48]) ).
fof(f2023,plain,
( ~ sQ10_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2022]) ).
fof(f2027,plain,
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ73_spl
| product(e_5,e_4,e_3) ),
inference(resolution,[status(thm)],[f948,f1403]) ).
fof(f2028,plain,
( ~ sQ27_spl
| ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ73_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f2027,f872]) ).
fof(f2029,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ73_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2027,f94]) ).
fof(f2030,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f2027,f92]) ).
fof(f2031,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2027,f90]) ).
fof(f2032,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ73_spl
| product(X0,e_3,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2027,f97]) ).
fof(f2033,plain,
( ~ sQ27_spl
| ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ73_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f2028,f326,f358,f370,f169,f206]) ).
fof(f2034,plain,
( sQ114_spl
| ~ sQ17_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f501,f1403]) ).
fof(f2035,plain,
( sQ114_spl
| ~ sQ17_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f2034]) ).
fof(f2036,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f122,f670]) ).
fof(f2037,plain,
( ~ sQ102_spl
| ~ sQ2_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f122,f1821]) ).
fof(f2038,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f122,f94]) ).
fof(f2039,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f122,f92]) ).
fof(f2040,plain,
( ~ sQ2_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f122,f100]) ).
fof(f2041,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f122,f90]) ).
fof(f2042,plain,
( ~ sQ2_spl
| product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f122,f98]) ).
fof(f2043,plain,
! [X0] :
( ~ sQ2_spl
| product(X0,e_3,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f122,f97]) ).
fof(f2044,plain,
( ~ sQ7_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2036,f87]) ).
fof(f2045,plain,
( ~ sQ7_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f2044]) ).
fof(f2046,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f119,f563]) ).
fof(f2047,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f119,f94]) ).
fof(f2048,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f119,f92]) ).
fof(f2049,plain,
( ~ sQ1_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f119,f100]) ).
fof(f2050,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f119,f90]) ).
fof(f2051,plain,
( ~ sQ1_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f119,f98]) ).
fof(f2052,plain,
! [X0] :
( ~ sQ1_spl
| product(X0,e_2,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f119,f97]) ).
fof(f2053,plain,
( ~ sQ21_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2046,f84]) ).
fof(f2054,plain,
( ~ sQ21_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f2053]) ).
fof(f2055,plain,
( ~ sQ75_spl
| ~ sQ0_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f116,f1404]) ).
fof(f2056,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f116,f94]) ).
fof(f2057,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f116,f92]) ).
fof(f2058,plain,
( ~ sQ0_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f116,f100]) ).
fof(f2059,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f116,f90]) ).
fof(f2060,plain,
( ~ sQ0_spl
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f116,f98]) ).
fof(f2061,plain,
! [X0] :
( ~ sQ0_spl
| product(X0,e_1,e_5)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f116,f97]) ).
fof(f2062,plain,
( ~ sQ75_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2055,f85]) ).
fof(f2063,plain,
( ~ sQ75_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f2062]) ).
fof(f2064,plain,
( ~ sQ88_spl
| ~ sQ68_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f343,f1243]) ).
fof(f2066,plain,
( ~ sQ73_spl
| ~ sQ68_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f343,f946]) ).
fof(f2067,plain,
( ~ sQ68_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f343,f977]) ).
fof(f2068,plain,
( ~ sQ118_spl
| ~ sQ68_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f343,f1553]) ).
fof(f2069,plain,
( ~ sQ68_spl
| equalish(e_3,e_3) ),
inference(resolution,[status(thm)],[f343,f976]) ).
fof(f2070,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f343,f94]) ).
fof(f2071,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f343,f92]) ).
fof(f2072,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f343,f90]) ).
fof(f2073,plain,
! [X0] :
( ~ sQ68_spl
| product(X0,e_4,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f343,f97]) ).
fof(f2074,plain,
( ~ sQ88_spl
| ~ sQ68_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f2064,f219,f342,f411]) ).
fof(f2075,plain,
( ~ sQ73_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2066,f72]) ).
fof(f2076,plain,
( ~ sQ73_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f2075]) ).
fof(f2077,plain,
( ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f984,f73]) ).
fof(f2078,plain,
~ sQ67_spl,
inference(contradiction_clause,[status(thm)],[f2077]) ).
fof(f2080,plain,
( ~ sQ25_spl
| ~ sQ73_spl
| ~ sQ114_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1599,f911]) ).
fof(f2083,plain,
( ~ sQ107_spl
| ~ sQ73_spl
| ~ sQ114_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1599,f1675]) ).
fof(f2084,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1599,f94]) ).
fof(f2085,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ114_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1599,f92]) ).
fof(f2086,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ114_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1599,f90]) ).
fof(f2087,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ114_spl
| product(X0,e_3,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f1599,f97]) ).
fof(f2088,plain,
( ~ sQ107_spl
| ~ sQ73_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2083,f84]) ).
fof(f2089,plain,
( ~ sQ107_spl
| ~ sQ73_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f2088]) ).
fof(f2091,plain,
( ~ sQ118_spl
| ~ sQ97_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f441,f1556]) ).
fof(f2094,plain,
! [X0] :
( ~ sQ97_spl
| ~ greater(e_3,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f441,f62]) ).
fof(f2100,plain,
( ~ sQ35_spl
| ~ sQ118_spl
| ~ sQ97_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f2091,f808]) ).
fof(f2101,plain,
( ~ sQ65_spl
| ~ sQ118_spl
| ~ sQ97_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2091,f1002]) ).
fof(f2104,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f2091,f94]) ).
fof(f2105,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ97_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f2091,f92]) ).
fof(f2106,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ97_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f2091,f90]) ).
fof(f2107,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ97_spl
| product(X0,e_1,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f2091,f97]) ).
fof(f2108,plain,
( ~ sQ35_spl
| ~ sQ118_spl
| ~ sQ97_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2100,f528,f440,f512,f232]) ).
fof(f2109,plain,
( ~ sQ65_spl
| ~ sQ118_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2101,f81]) ).
fof(f2110,plain,
( ~ sQ65_spl
| ~ sQ118_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f2109]) ).
fof(f2111,plain,
( ~ sQ118_spl
| ~ sQ97_spl
| ~ sQ36_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f801,f2091]) ).
fof(f2113,plain,
( ~ sQ97_spl
| ~ sQ36_spl
| ~ sQ55_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1094,f1176]) ).
fof(f2116,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1094,f94]) ).
fof(f2117,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ55_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1094,f92]) ).
fof(f2118,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1094,f90]) ).
fof(f2119,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ55_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1094,f97]) ).
fof(f2121,plain,
( ~ sQ111_spl
| ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ97_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1316,f1644]) ).
fof(f2126,plain,
( ~ sQ111_spl
| ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2121,f80]) ).
fof(f2127,plain,
( ~ sQ111_spl
| ~ sQ36_spl
| ~ sQ55_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f2126]) ).
fof(f2128,plain,
( ~ sQ99_spl
| ~ sQ118_spl
| product(e_4,e_5,e_2) ),
inference(resolution,[status(thm)],[f513,f1163]) ).
fof(f2136,plain,
( ~ sQ25_spl
| ~ sQ99_spl
| ~ sQ118_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f2128,f910]) ).
fof(f2137,plain,
( ~ sQ7_spl
| ~ sQ99_spl
| ~ sQ118_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f2128,f672]) ).
fof(f2138,plain,
( ~ sQ51_spl
| ~ sQ99_spl
| ~ sQ118_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2128,f1137]) ).
fof(f2139,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2128,f94]) ).
fof(f2140,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ118_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f2128,f92]) ).
fof(f2141,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ118_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f2128,f90]) ).
fof(f2142,plain,
! [X0] :
( ~ sQ99_spl
| ~ sQ118_spl
| product(X0,e_2,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f2128,f97]) ).
fof(f2143,plain,
( ~ sQ25_spl
| ~ sQ99_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2136,f72]) ).
fof(f2144,plain,
( ~ sQ25_spl
| ~ sQ99_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f2143]) ).
fof(f2153,plain,
( ~ sQ15_spl
| ~ sQ75_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f371,f612]) ).
fof(f2160,plain,
( ~ sQ15_spl
| ~ sQ75_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f2153,f531,f370,f163]) ).
fof(f2171,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| product(X0,e_5,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1403,f97]) ).
fof(f2175,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1459,f90]) ).
fof(f2183,plain,
( ~ sQ55_spl
| ~ sQ36_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f801,f302]) ).
fof(f2185,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ97_spl
| ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f2111,f94]) ).
fof(f2186,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ97_spl
| ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f2111,f92]) ).
fof(f2187,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ97_spl
| ~ sQ36_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f2111,f90]) ).
fof(f2189,plain,
( ~ sQ55_spl
| ~ sQ97_spl
| ~ sQ36_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f2113,f1098]) ).
fof(f2199,plain,
( ~ sQ84_spl
| ~ sQ101_spl
| ~ sQ40_spl
| ~ sQ23_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f1888,f1274]) ).
fof(f2207,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ23_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1882,f94]) ).
fof(f2208,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1882,f92]) ).
fof(f2209,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ23_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1882,f90]) ).
fof(f2210,plain,
! [X0] :
( ~ sQ101_spl
| ~ sQ23_spl
| product(X0,e_5,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1882,f97]) ).
fof(f2212,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ97_spl
| ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f2189,f94]) ).
fof(f2213,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ97_spl
| ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f2189,f92]) ).
fof(f2214,plain,
! [X0] :
( ~ sQ55_spl
| ~ sQ97_spl
| ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2189,f90]) ).
fof(f2216,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ101_spl
| ~ sQ40_spl
| ~ sQ23_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f2199,f94]) ).
fof(f2217,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ101_spl
| ~ sQ40_spl
| ~ sQ23_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f2199,f92]) ).
fof(f2218,plain,
! [X0] :
( ~ sQ84_spl
| ~ sQ101_spl
| ~ sQ40_spl
| ~ sQ23_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f2199,f90]) ).
fof(f2226,plain,
( ~ sQ118_spl
| ~ sQ97_spl
| ~ sQ36_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1176,f2111]) ).
fof(f2259,plain,
( ~ sQ84_spl
| ~ sQ101_spl
| ~ sQ40_spl
| ~ sQ23_spl
| ~ sQ26_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f898,f2199]) ).
fof(f2260,plain,
( ~ sQ84_spl
| ~ sQ101_spl
| ~ sQ40_spl
| ~ sQ23_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2259,f70]) ).
fof(f2261,plain,
( ~ sQ84_spl
| ~ sQ101_spl
| ~ sQ40_spl
| ~ sQ23_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2260]) ).
fof(f2262,plain,
( ~ sQ101_spl
| ~ sQ23_spl
| ~ sQ44_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f741,f1882]) ).
fof(f2263,plain,
( ~ sQ101_spl
| ~ sQ23_spl
| ~ sQ44_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f2262,f124,f260,f188,f458]) ).
fof(f2269,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f884,f94]) ).
fof(f2270,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f884,f92]) ).
fof(f2271,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f884,f90]) ).
fof(f2272,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| product(X0,e_5,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f884,f97]) ).
fof(f2294,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ88_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1336,f94]) ).
fof(f2295,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ6_spl
| ~ sQ88_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f1336,f92]) ).
fof(f2304,plain,
( ~ sQ53_spl
| ~ sQ10_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f148,f1123]) ).
fof(f2316,plain,
( ~ sQ49_spl
| ~ sQ53_spl
| ~ sQ10_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f2304,f697]) ).
fof(f2319,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f2304,f94]) ).
fof(f2320,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ10_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f2304,f92]) ).
fof(f2321,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ10_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f2304,f90]) ).
fof(f2322,plain,
! [X0] :
( ~ sQ53_spl
| ~ sQ10_spl
| product(X0,e_3,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f2304,f97]) ).
fof(f2324,plain,
( ~ sQ10_spl
| ~ sQ49_spl
| ~ sQ53_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f2316,f651]) ).
fof(f2335,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ49_spl
| ~ sQ53_spl
| ~ greater(e_5,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f2324,f62]) ).
fof(f2346,plain,
( ~ sQ10_spl
| ~ sQ49_spl
| ~ sQ53_spl
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f2335,f60]) ).
fof(f2347,plain,
( ~ sQ10_spl
| ~ sQ49_spl
| ~ sQ53_spl
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f2335,f59]) ).
fof(f2348,plain,
( ~ sQ10_spl
| ~ sQ49_spl
| ~ sQ53_spl
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f2335,f57]) ).
fof(f2349,plain,
( ~ sQ10_spl
| ~ sQ49_spl
| ~ sQ53_spl
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f2335,f54]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sQ4_spl
| ~ sQ5_spl
| sQ6_spl
| ~ sQ8_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ11_spl
| ~ sQ12_spl
| ~ sQ13_spl
| ~ sQ14_spl
| ~ sQ15_spl
| ~ sQ16_spl
| sQ17_spl
| ~ sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| ~ sQ21_spl
| ~ sQ22_spl
| sQ23_spl
| ~ sQ24_spl
| ~ sQ25_spl
| ~ sQ26_spl
| sQ27_spl
| ~ sQ28_spl
| ~ sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| sQ33_spl
| ~ sQ34_spl
| ~ sQ35_spl
| sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| sQ40_spl
| ~ sQ41_spl
| ~ sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| sQ49_spl
| ~ sQ50_spl
| ~ sQ51_spl
| ~ sQ52_spl
| sQ53_spl
| ~ sQ54_spl
| sQ55_spl
| ~ sQ56_spl
| ~ sQ57_spl
| ~ sQ58_spl
| ~ sQ59_spl
| ~ sQ60_spl
| ~ sQ61_spl
| sQ62_spl
| ~ sQ63_spl
| ~ sQ64_spl
| ~ sQ65_spl
| ~ sQ66_spl
| ~ sQ67_spl
| ~ sQ68_spl
| sQ69_spl
| ~ sQ70_spl
| sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| ~ sQ74_spl
| sQ75_spl
| ~ sQ76_spl
| ~ sQ77_spl
| ~ sQ78_spl
| ~ sQ79_spl
| ~ sQ80_spl
| ~ sQ81_spl
| ~ sQ82_spl
| ~ sQ83_spl
| sQ84_spl
| ~ sQ85_spl
| ~ sQ86_spl
| ~ sQ87_spl
| sQ88_spl
| ~ sQ89_spl
| sQ91_spl
| ~ sQ92_spl
| ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| ~ sQ96_spl
| sQ97_spl
| ~ sQ98_spl
| ~ sQ99_spl
| ~ sQ100_spl
| sQ101_spl
| ~ sQ103_spl
| ~ sQ104_spl
| ~ sQ105_spl
| ~ sQ106_spl
| sQ107_spl
| ~ sQ108_spl
| ~ sQ110_spl
| ~ sQ111_spl
| ~ sQ112_spl
| ~ sQ113_spl
| sQ114_spl
| ~ sQ115_spl
| ~ sQ116_spl
| ~ sQ117_spl
| sQ118_spl
| ~ sQ119_spl
| sQ120_spl
| ~ sQ121_spl
| ~ sQ122_spl
| ~ sQ123_spl
| ~ sQ124_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP126-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n020.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 20 20:00:17 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.64 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.17/0.64 % SZS output start Saturation for theBenchmark
% See solution above
% 0.17/0.67 % Elapsed time: 0.210998 seconds
% 0.17/0.67 % CPU time: 1.297340 seconds
% 0.17/0.67 % Total memory used: 24.099 MB
% 0.17/0.67 % Net memory used: 23.593 MB
%------------------------------------------------------------------------------