TSTP Solution File: GRP127-2.006 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP127-2.006 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:10:34 EDT 2023
% Result : Unsatisfiable 84.06s 10.98s
% Output : CNFRefutation 84.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 260
% Syntax : Number of formulae : 2594 ( 163 unt; 0 def)
% Number of atoms : 6880 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 8438 (4152 ~;4071 |; 0 &)
% ( 215 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 221 ( 220 usr; 216 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 396 (; 396 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y,X1] :
( ~ product(X,e_1,Y)
| ~ next(X,X1)
| ~ greater(Y,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
group_element(e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ equalish(e_1,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_2,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
~ equalish(e_3,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
~ equalish(e_4,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,axiom,
~ equalish(e_5,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
~ equalish(e_6,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
~ equalish(e_6,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,axiom,
~ equalish(e_6,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
~ equalish(e_6,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
~ equalish(e_6,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(X,Y,e_1)
| product(X,Y,e_2)
| product(X,Y,e_3)
| product(X,Y,e_4)
| product(X,Y,e_5)
| product(X,Y,e_6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [X,Y,W,Z] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
! [Y,X,Z1,Z2] :
( ~ product(Y,X,Z1)
| ~ product(Z1,Y,Z2)
| product(Z2,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f78,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f84,plain,
! [Y,X1] :
( ! [X] :
( ~ product(X,e_1,Y)
| ~ next(X,X1) )
| ~ greater(Y,X1) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| ~ greater(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f84]) ).
fof(f86,plain,
group_element(e_1),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f87,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f88,plain,
group_element(e_3),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f89,plain,
group_element(e_4),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f90,plain,
group_element(e_5),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f91,plain,
group_element(e_6),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f92,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f93,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f94,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f95,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f96,plain,
~ equalish(e_1,e_6),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f97,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f98,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f99,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f100,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f101,plain,
~ equalish(e_2,e_6),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f102,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f103,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f104,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f105,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f106,plain,
~ equalish(e_3,e_6),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f107,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f108,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f109,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f110,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f111,plain,
~ equalish(e_4,e_6),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f112,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f113,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f114,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f115,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f116,plain,
~ equalish(e_5,e_6),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f117,plain,
~ equalish(e_6,e_1),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f118,plain,
~ equalish(e_6,e_2),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f119,plain,
~ equalish(e_6,e_3),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f120,plain,
~ equalish(e_6,e_4),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f121,plain,
~ equalish(e_6,e_5),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f122,plain,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| product(X0,X1,e_5)
| product(X0,X1,e_6) ),
inference(cnf_transformation,[status(esa)],[f58]) ).
fof(f123,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f59]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f123]) ).
fof(f125,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f60]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f125]) ).
fof(f127,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f61]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f127]) ).
fof(f129,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f130,plain,
! [Y,X,Z2] :
( ! [Z1] :
( ~ product(Y,X,Z1)
| ~ product(Z1,Y,Z2) )
| product(Z2,Y,X) ),
inference(miniscoping,[status(esa)],[f63]) ).
fof(f131,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X2,X0,X3)
| product(X3,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f130]) ).
fof(f134,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f124,f129]) ).
fof(f136,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f126,f129]) ).
fof(f138,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X1,X0) ),
inference(resolution,[status(thm)],[f128,f129]) ).
fof(f141,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| product(e_1,X0,e_5)
| product(e_1,X0,e_6) ),
inference(resolution,[status(thm)],[f86,f122]) ).
fof(f145,plain,
( spl0_1
<=> product(e_1,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f146,plain,
( product(e_1,e_1,e_2)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f145]) ).
fof(f148,plain,
( spl0_2
<=> product(e_1,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f149,plain,
( product(e_1,e_1,e_3)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,plain,
( spl0_3
<=> product(e_1,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f152,plain,
( product(e_1,e_1,e_4)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,plain,
( spl0_4
<=> product(e_1,e_1,e_5) ),
introduced(split_symbol_definition) ).
fof(f155,plain,
( product(e_1,e_1,e_5)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,plain,
( spl0_5
<=> product(e_1,e_1,e_6) ),
introduced(split_symbol_definition) ).
fof(f158,plain,
( product(e_1,e_1,e_6)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f162,plain,
( spl0_6
<=> product(e_1,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f163,plain,
( product(e_1,e_2,e_1)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,plain,
( spl0_7
<=> product(e_1,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f166,plain,
( product(e_1,e_2,e_2)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( spl0_8
<=> product(e_1,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f169,plain,
( product(e_1,e_2,e_3)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( spl0_9
<=> product(e_1,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f172,plain,
( product(e_1,e_2,e_4)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( spl0_10
<=> product(e_1,e_2,e_5) ),
introduced(split_symbol_definition) ).
fof(f175,plain,
( product(e_1,e_2,e_5)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( spl0_11
<=> product(e_1,e_2,e_6) ),
introduced(split_symbol_definition) ).
fof(f178,plain,
( product(e_1,e_2,e_6)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5)
| product(e_1,e_2,e_6) ),
inference(resolution,[status(thm)],[f87,f141]) ).
fof(f181,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f180,f162,f165,f168,f171,f174,f177]) ).
fof(f182,plain,
! [X0] :
( ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| product(e_2,X0,e_5)
| product(e_2,X0,e_6) ),
inference(resolution,[status(thm)],[f87,f122]) ).
fof(f183,plain,
( spl0_12
<=> product(e_2,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f184,plain,
( product(e_2,e_2,e_1)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,plain,
( spl0_13
<=> product(e_2,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f189,plain,
( spl0_14
<=> product(e_2,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f190,plain,
( product(e_2,e_2,e_3)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,plain,
( spl0_15
<=> product(e_2,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f193,plain,
( product(e_2,e_2,e_4)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,plain,
( spl0_16
<=> product(e_2,e_2,e_5) ),
introduced(split_symbol_definition) ).
fof(f196,plain,
( product(e_2,e_2,e_5)
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,plain,
( spl0_17
<=> product(e_2,e_2,e_6) ),
introduced(split_symbol_definition) ).
fof(f199,plain,
( product(e_2,e_2,e_6)
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_6) ),
inference(resolution,[status(thm)],[f182,f87]) ).
fof(f202,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15
| spl0_16
| spl0_17 ),
inference(split_clause,[status(thm)],[f201,f183,f186,f189,f192,f195,f198]) ).
fof(f203,plain,
( spl0_18
<=> product(e_2,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f204,plain,
( product(e_2,e_1,e_1)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,plain,
( spl0_19
<=> product(e_2,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f207,plain,
( product(e_2,e_1,e_2)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( spl0_20
<=> product(e_2,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f210,plain,
( product(e_2,e_1,e_3)
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( spl0_21
<=> product(e_2,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f213,plain,
( product(e_2,e_1,e_4)
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( spl0_22
<=> product(e_2,e_1,e_5) ),
introduced(split_symbol_definition) ).
fof(f216,plain,
( product(e_2,e_1,e_5)
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( spl0_23
<=> product(e_2,e_1,e_6) ),
introduced(split_symbol_definition) ).
fof(f219,plain,
( product(e_2,e_1,e_6)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_6) ),
inference(resolution,[status(thm)],[f182,f86]) ).
fof(f222,plain,
( spl0_18
| spl0_19
| spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f221,f203,f206,f209,f212,f215,f218]) ).
fof(f223,plain,
( spl0_24
<=> product(e_2,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f224,plain,
( product(e_2,e_3,e_1)
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f223]) ).
fof(f226,plain,
( spl0_25
<=> product(e_2,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f227,plain,
( product(e_2,e_3,e_2)
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,plain,
( spl0_26
<=> product(e_2,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f230,plain,
( product(e_2,e_3,e_3)
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( spl0_27
<=> product(e_2,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f233,plain,
( product(e_2,e_3,e_4)
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( spl0_28
<=> product(e_2,e_3,e_5) ),
introduced(split_symbol_definition) ).
fof(f236,plain,
( product(e_2,e_3,e_5)
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,plain,
( spl0_29
<=> product(e_2,e_3,e_6) ),
introduced(split_symbol_definition) ).
fof(f239,plain,
( product(e_2,e_3,e_6)
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_6) ),
inference(resolution,[status(thm)],[f88,f182]) ).
fof(f242,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27
| spl0_28
| spl0_29 ),
inference(split_clause,[status(thm)],[f241,f223,f226,f229,f232,f235,f238]) ).
fof(f243,plain,
( spl0_30
<=> product(e_1,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f244,plain,
( product(e_1,e_3,e_1)
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,plain,
( spl0_31
<=> product(e_1,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f247,plain,
( product(e_1,e_3,e_2)
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,plain,
( spl0_32
<=> product(e_1,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f250,plain,
( product(e_1,e_3,e_3)
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( spl0_33
<=> product(e_1,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f253,plain,
( product(e_1,e_3,e_4)
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( spl0_34
<=> product(e_1,e_3,e_5) ),
introduced(split_symbol_definition) ).
fof(f256,plain,
( product(e_1,e_3,e_5)
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( spl0_35
<=> product(e_1,e_3,e_6) ),
introduced(split_symbol_definition) ).
fof(f259,plain,
( product(e_1,e_3,e_6)
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| product(e_1,e_3,e_6) ),
inference(resolution,[status(thm)],[f88,f141]) ).
fof(f262,plain,
( spl0_30
| spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f261,f243,f246,f249,f252,f255,f258]) ).
fof(f263,plain,
! [X0] :
( ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| product(e_3,X0,e_5)
| product(e_3,X0,e_6) ),
inference(resolution,[status(thm)],[f88,f122]) ).
fof(f264,plain,
( spl0_36
<=> product(e_3,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f265,plain,
( product(e_3,e_3,e_1)
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( spl0_37
<=> product(e_3,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f268,plain,
( product(e_3,e_3,e_2)
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,plain,
( spl0_38
<=> product(e_3,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f273,plain,
( spl0_39
<=> product(e_3,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f274,plain,
( product(e_3,e_3,e_4)
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,plain,
( spl0_40
<=> product(e_3,e_3,e_5) ),
introduced(split_symbol_definition) ).
fof(f277,plain,
( product(e_3,e_3,e_5)
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( spl0_41
<=> product(e_3,e_3,e_6) ),
introduced(split_symbol_definition) ).
fof(f280,plain,
( product(e_3,e_3,e_6)
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_5)
| product(e_3,e_3,e_6) ),
inference(resolution,[status(thm)],[f263,f88]) ).
fof(f283,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39
| spl0_40
| spl0_41 ),
inference(split_clause,[status(thm)],[f282,f264,f267,f270,f273,f276,f279]) ).
fof(f284,plain,
( spl0_42
<=> product(e_3,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f285,plain,
( product(e_3,e_2,e_1)
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( spl0_43
<=> product(e_3,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f288,plain,
( product(e_3,e_2,e_2)
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,plain,
( spl0_44
<=> product(e_3,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f291,plain,
( product(e_3,e_2,e_3)
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( spl0_45
<=> product(e_3,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f294,plain,
( product(e_3,e_2,e_4)
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f296,plain,
( spl0_46
<=> product(e_3,e_2,e_5) ),
introduced(split_symbol_definition) ).
fof(f297,plain,
( product(e_3,e_2,e_5)
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( spl0_47
<=> product(e_3,e_2,e_6) ),
introduced(split_symbol_definition) ).
fof(f300,plain,
( product(e_3,e_2,e_6)
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_6) ),
inference(resolution,[status(thm)],[f263,f87]) ).
fof(f303,plain,
( spl0_42
| spl0_43
| spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f302,f284,f287,f290,f293,f296,f299]) ).
fof(f304,plain,
( spl0_48
<=> product(e_3,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f305,plain,
( product(e_3,e_1,e_1)
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( spl0_49
<=> product(e_3,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f308,plain,
( product(e_3,e_1,e_2)
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,plain,
( spl0_50
<=> product(e_3,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f311,plain,
( product(e_3,e_1,e_3)
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,plain,
( spl0_51
<=> product(e_3,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f314,plain,
( product(e_3,e_1,e_4)
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( spl0_52
<=> product(e_3,e_1,e_5) ),
introduced(split_symbol_definition) ).
fof(f317,plain,
( product(e_3,e_1,e_5)
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,plain,
( spl0_53
<=> product(e_3,e_1,e_6) ),
introduced(split_symbol_definition) ).
fof(f320,plain,
( product(e_3,e_1,e_6)
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_6) ),
inference(resolution,[status(thm)],[f263,f86]) ).
fof(f323,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51
| spl0_52
| spl0_53 ),
inference(split_clause,[status(thm)],[f322,f304,f307,f310,f313,f316,f319]) ).
fof(f324,plain,
( spl0_54
<=> product(e_3,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f325,plain,
( product(e_3,e_4,e_1)
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( spl0_55
<=> product(e_3,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f328,plain,
( product(e_3,e_4,e_2)
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,plain,
( spl0_56
<=> product(e_3,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f331,plain,
( product(e_3,e_4,e_3)
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( spl0_57
<=> product(e_3,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f334,plain,
( product(e_3,e_4,e_4)
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,plain,
( spl0_58
<=> product(e_3,e_4,e_5) ),
introduced(split_symbol_definition) ).
fof(f337,plain,
( product(e_3,e_4,e_5)
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( spl0_59
<=> product(e_3,e_4,e_6) ),
introduced(split_symbol_definition) ).
fof(f340,plain,
( product(e_3,e_4,e_6)
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| product(e_3,e_4,e_6) ),
inference(resolution,[status(thm)],[f89,f263]) ).
fof(f343,plain,
( spl0_54
| spl0_55
| spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f342,f324,f327,f330,f333,f336,f339]) ).
fof(f344,plain,
( spl0_60
<=> product(e_2,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f345,plain,
( product(e_2,e_4,e_1)
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( spl0_61
<=> product(e_2,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f348,plain,
( product(e_2,e_4,e_2)
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,plain,
( spl0_62
<=> product(e_2,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f351,plain,
( product(e_2,e_4,e_3)
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( spl0_63
<=> product(e_2,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f354,plain,
( product(e_2,e_4,e_4)
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,plain,
( spl0_64
<=> product(e_2,e_4,e_5) ),
introduced(split_symbol_definition) ).
fof(f357,plain,
( product(e_2,e_4,e_5)
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( spl0_65
<=> product(e_2,e_4,e_6) ),
introduced(split_symbol_definition) ).
fof(f360,plain,
( product(e_2,e_4,e_6)
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_2,e_4,e_6) ),
inference(resolution,[status(thm)],[f89,f182]) ).
fof(f363,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| spl0_65 ),
inference(split_clause,[status(thm)],[f362,f344,f347,f350,f353,f356,f359]) ).
fof(f364,plain,
( spl0_66
<=> product(e_1,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f365,plain,
( product(e_1,e_4,e_1)
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,plain,
( spl0_67
<=> product(e_1,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f368,plain,
( product(e_1,e_4,e_2)
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,plain,
( spl0_68
<=> product(e_1,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f371,plain,
( product(e_1,e_4,e_3)
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( spl0_69
<=> product(e_1,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f374,plain,
( product(e_1,e_4,e_4)
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,plain,
( spl0_70
<=> product(e_1,e_4,e_5) ),
introduced(split_symbol_definition) ).
fof(f377,plain,
( product(e_1,e_4,e_5)
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( spl0_71
<=> product(e_1,e_4,e_6) ),
introduced(split_symbol_definition) ).
fof(f380,plain,
( product(e_1,e_4,e_6)
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_1,e_4,e_6) ),
inference(resolution,[status(thm)],[f89,f141]) ).
fof(f383,plain,
( spl0_66
| spl0_67
| spl0_68
| spl0_69
| spl0_70
| spl0_71 ),
inference(split_clause,[status(thm)],[f382,f364,f367,f370,f373,f376,f379]) ).
fof(f384,plain,
! [X0] :
( ~ group_element(X0)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4)
| product(e_4,X0,e_5)
| product(e_4,X0,e_6) ),
inference(resolution,[status(thm)],[f89,f122]) ).
fof(f385,plain,
( spl0_72
<=> product(e_4,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f386,plain,
( product(e_4,e_4,e_1)
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,plain,
( spl0_73
<=> product(e_4,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f389,plain,
( product(e_4,e_4,e_2)
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( spl0_74
<=> product(e_4,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f392,plain,
( product(e_4,e_4,e_3)
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( spl0_75
<=> product(e_4,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f397,plain,
( spl0_76
<=> product(e_4,e_4,e_5) ),
introduced(split_symbol_definition) ).
fof(f398,plain,
( product(e_4,e_4,e_5)
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,plain,
( spl0_77
<=> product(e_4,e_4,e_6) ),
introduced(split_symbol_definition) ).
fof(f401,plain,
( product(e_4,e_4,e_6)
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5)
| product(e_4,e_4,e_6) ),
inference(resolution,[status(thm)],[f384,f89]) ).
fof(f404,plain,
( spl0_72
| spl0_73
| spl0_74
| spl0_75
| spl0_76
| spl0_77 ),
inference(split_clause,[status(thm)],[f403,f385,f388,f391,f394,f397,f400]) ).
fof(f405,plain,
( spl0_78
<=> product(e_4,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f406,plain,
( product(e_4,e_3,e_1)
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( spl0_79
<=> product(e_4,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f409,plain,
( product(e_4,e_3,e_2)
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( spl0_80
<=> product(e_4,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f412,plain,
( product(e_4,e_3,e_3)
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,plain,
( spl0_81
<=> product(e_4,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f415,plain,
( product(e_4,e_3,e_4)
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( spl0_82
<=> product(e_4,e_3,e_5) ),
introduced(split_symbol_definition) ).
fof(f418,plain,
( product(e_4,e_3,e_5)
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( spl0_83
<=> product(e_4,e_3,e_6) ),
introduced(split_symbol_definition) ).
fof(f421,plain,
( product(e_4,e_3,e_6)
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_6) ),
inference(resolution,[status(thm)],[f384,f88]) ).
fof(f424,plain,
( spl0_78
| spl0_79
| spl0_80
| spl0_81
| spl0_82
| spl0_83 ),
inference(split_clause,[status(thm)],[f423,f405,f408,f411,f414,f417,f420]) ).
fof(f425,plain,
( spl0_84
<=> product(e_4,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f426,plain,
( product(e_4,e_2,e_1)
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,plain,
( spl0_85
<=> product(e_4,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f429,plain,
( product(e_4,e_2,e_2)
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( spl0_86
<=> product(e_4,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f432,plain,
( product(e_4,e_2,e_3)
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( spl0_87
<=> product(e_4,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f435,plain,
( product(e_4,e_2,e_4)
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,plain,
( spl0_88
<=> product(e_4,e_2,e_5) ),
introduced(split_symbol_definition) ).
fof(f438,plain,
( product(e_4,e_2,e_5)
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f439,plain,
( ~ product(e_4,e_2,e_5)
| spl0_88 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,plain,
( spl0_89
<=> product(e_4,e_2,e_6) ),
introduced(split_symbol_definition) ).
fof(f441,plain,
( product(e_4,e_2,e_6)
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_6) ),
inference(resolution,[status(thm)],[f384,f87]) ).
fof(f444,plain,
( spl0_84
| spl0_85
| spl0_86
| spl0_87
| spl0_88
| spl0_89 ),
inference(split_clause,[status(thm)],[f443,f425,f428,f431,f434,f437,f440]) ).
fof(f445,plain,
( spl0_90
<=> product(e_4,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f446,plain,
( product(e_4,e_1,e_1)
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( spl0_91
<=> product(e_4,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f449,plain,
( product(e_4,e_1,e_2)
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( spl0_92
<=> product(e_4,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f452,plain,
( product(e_4,e_1,e_3)
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( spl0_93
<=> product(e_4,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f455,plain,
( product(e_4,e_1,e_4)
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( spl0_94
<=> product(e_4,e_1,e_5) ),
introduced(split_symbol_definition) ).
fof(f458,plain,
( product(e_4,e_1,e_5)
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( spl0_95
<=> product(e_4,e_1,e_6) ),
introduced(split_symbol_definition) ).
fof(f461,plain,
( product(e_4,e_1,e_6)
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5)
| product(e_4,e_1,e_6) ),
inference(resolution,[status(thm)],[f384,f86]) ).
fof(f464,plain,
( spl0_90
| spl0_91
| spl0_92
| spl0_93
| spl0_94
| spl0_95 ),
inference(split_clause,[status(thm)],[f463,f445,f448,f451,f454,f457,f460]) ).
fof(f465,plain,
( spl0_96
<=> product(e_4,e_5,e_1) ),
introduced(split_symbol_definition) ).
fof(f466,plain,
( product(e_4,e_5,e_1)
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( spl0_97
<=> product(e_4,e_5,e_2) ),
introduced(split_symbol_definition) ).
fof(f469,plain,
( product(e_4,e_5,e_2)
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,plain,
( spl0_98
<=> product(e_4,e_5,e_3) ),
introduced(split_symbol_definition) ).
fof(f472,plain,
( product(e_4,e_5,e_3)
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( spl0_99
<=> product(e_4,e_5,e_4) ),
introduced(split_symbol_definition) ).
fof(f475,plain,
( product(e_4,e_5,e_4)
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,plain,
( spl0_100
<=> product(e_4,e_5,e_5) ),
introduced(split_symbol_definition) ).
fof(f478,plain,
( product(e_4,e_5,e_5)
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( spl0_101
<=> product(e_4,e_5,e_6) ),
introduced(split_symbol_definition) ).
fof(f481,plain,
( product(e_4,e_5,e_6)
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| product(e_4,e_5,e_6) ),
inference(resolution,[status(thm)],[f90,f384]) ).
fof(f484,plain,
( spl0_96
| spl0_97
| spl0_98
| spl0_99
| spl0_100
| spl0_101 ),
inference(split_clause,[status(thm)],[f483,f465,f468,f471,f474,f477,f480]) ).
fof(f485,plain,
( spl0_102
<=> product(e_3,e_5,e_1) ),
introduced(split_symbol_definition) ).
fof(f486,plain,
( product(e_3,e_5,e_1)
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( spl0_103
<=> product(e_3,e_5,e_2) ),
introduced(split_symbol_definition) ).
fof(f489,plain,
( product(e_3,e_5,e_2)
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( spl0_104
<=> product(e_3,e_5,e_3) ),
introduced(split_symbol_definition) ).
fof(f492,plain,
( product(e_3,e_5,e_3)
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( spl0_105
<=> product(e_3,e_5,e_4) ),
introduced(split_symbol_definition) ).
fof(f495,plain,
( product(e_3,e_5,e_4)
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( spl0_106
<=> product(e_3,e_5,e_5) ),
introduced(split_symbol_definition) ).
fof(f498,plain,
( product(e_3,e_5,e_5)
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,plain,
( spl0_107
<=> product(e_3,e_5,e_6) ),
introduced(split_symbol_definition) ).
fof(f501,plain,
( product(e_3,e_5,e_6)
| ~ spl0_107 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| product(e_3,e_5,e_6) ),
inference(resolution,[status(thm)],[f90,f263]) ).
fof(f504,plain,
( spl0_102
| spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(split_clause,[status(thm)],[f503,f485,f488,f491,f494,f497,f500]) ).
fof(f505,plain,
( spl0_108
<=> product(e_2,e_5,e_1) ),
introduced(split_symbol_definition) ).
fof(f506,plain,
( product(e_2,e_5,e_1)
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( spl0_109
<=> product(e_2,e_5,e_2) ),
introduced(split_symbol_definition) ).
fof(f509,plain,
( product(e_2,e_5,e_2)
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( spl0_110
<=> product(e_2,e_5,e_3) ),
introduced(split_symbol_definition) ).
fof(f512,plain,
( product(e_2,e_5,e_3)
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,plain,
( spl0_111
<=> product(e_2,e_5,e_4) ),
introduced(split_symbol_definition) ).
fof(f515,plain,
( product(e_2,e_5,e_4)
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,plain,
( spl0_112
<=> product(e_2,e_5,e_5) ),
introduced(split_symbol_definition) ).
fof(f518,plain,
( product(e_2,e_5,e_5)
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( spl0_113
<=> product(e_2,e_5,e_6) ),
introduced(split_symbol_definition) ).
fof(f521,plain,
( product(e_2,e_5,e_6)
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_2,e_5,e_6) ),
inference(resolution,[status(thm)],[f90,f182]) ).
fof(f524,plain,
( spl0_108
| spl0_109
| spl0_110
| spl0_111
| spl0_112
| spl0_113 ),
inference(split_clause,[status(thm)],[f523,f505,f508,f511,f514,f517,f520]) ).
fof(f525,plain,
( spl0_114
<=> product(e_1,e_5,e_1) ),
introduced(split_symbol_definition) ).
fof(f526,plain,
( product(e_1,e_5,e_1)
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,plain,
( spl0_115
<=> product(e_1,e_5,e_2) ),
introduced(split_symbol_definition) ).
fof(f529,plain,
( product(e_1,e_5,e_2)
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f530,plain,
( ~ product(e_1,e_5,e_2)
| spl0_115 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( spl0_116
<=> product(e_1,e_5,e_3) ),
introduced(split_symbol_definition) ).
fof(f532,plain,
( product(e_1,e_5,e_3)
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,plain,
( spl0_117
<=> product(e_1,e_5,e_4) ),
introduced(split_symbol_definition) ).
fof(f535,plain,
( product(e_1,e_5,e_4)
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( spl0_118
<=> product(e_1,e_5,e_5) ),
introduced(split_symbol_definition) ).
fof(f538,plain,
( product(e_1,e_5,e_5)
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,plain,
( spl0_119
<=> product(e_1,e_5,e_6) ),
introduced(split_symbol_definition) ).
fof(f541,plain,
( product(e_1,e_5,e_6)
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| product(e_1,e_5,e_6) ),
inference(resolution,[status(thm)],[f90,f141]) ).
fof(f544,plain,
( spl0_114
| spl0_115
| spl0_116
| spl0_117
| spl0_118
| spl0_119 ),
inference(split_clause,[status(thm)],[f543,f525,f528,f531,f534,f537,f540]) ).
fof(f545,plain,
! [X0] :
( ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_5,X0,e_5)
| product(e_5,X0,e_6) ),
inference(resolution,[status(thm)],[f90,f122]) ).
fof(f546,plain,
( spl0_120
<=> product(e_5,e_5,e_1) ),
introduced(split_symbol_definition) ).
fof(f547,plain,
( product(e_5,e_5,e_1)
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,plain,
( spl0_121
<=> product(e_5,e_5,e_2) ),
introduced(split_symbol_definition) ).
fof(f550,plain,
( product(e_5,e_5,e_2)
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,plain,
( spl0_122
<=> product(e_5,e_5,e_3) ),
introduced(split_symbol_definition) ).
fof(f553,plain,
( product(e_5,e_5,e_3)
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f552]) ).
fof(f555,plain,
( spl0_123
<=> product(e_5,e_5,e_4) ),
introduced(split_symbol_definition) ).
fof(f556,plain,
( product(e_5,e_5,e_4)
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f555]) ).
fof(f558,plain,
( spl0_124
<=> product(e_5,e_5,e_5) ),
introduced(split_symbol_definition) ).
fof(f561,plain,
( spl0_125
<=> product(e_5,e_5,e_6) ),
introduced(split_symbol_definition) ).
fof(f562,plain,
( product(e_5,e_5,e_6)
| ~ spl0_125 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,plain,
( product(e_5,e_5,e_1)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_5)
| product(e_5,e_5,e_6) ),
inference(resolution,[status(thm)],[f545,f90]) ).
fof(f565,plain,
( spl0_120
| spl0_121
| spl0_122
| spl0_123
| spl0_124
| spl0_125 ),
inference(split_clause,[status(thm)],[f564,f546,f549,f552,f555,f558,f561]) ).
fof(f566,plain,
( spl0_126
<=> product(e_5,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f567,plain,
( product(e_5,e_4,e_1)
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( spl0_127
<=> product(e_5,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f570,plain,
( product(e_5,e_4,e_2)
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( spl0_128
<=> product(e_5,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f573,plain,
( product(e_5,e_4,e_3)
| ~ spl0_128 ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,plain,
( spl0_129
<=> product(e_5,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f576,plain,
( product(e_5,e_4,e_4)
| ~ spl0_129 ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,plain,
( spl0_130
<=> product(e_5,e_4,e_5) ),
introduced(split_symbol_definition) ).
fof(f579,plain,
( product(e_5,e_4,e_5)
| ~ spl0_130 ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,plain,
( spl0_131
<=> product(e_5,e_4,e_6) ),
introduced(split_symbol_definition) ).
fof(f582,plain,
( product(e_5,e_4,e_6)
| ~ spl0_131 ),
inference(component_clause,[status(thm)],[f581]) ).
fof(f584,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| product(e_5,e_4,e_6) ),
inference(resolution,[status(thm)],[f545,f89]) ).
fof(f585,plain,
( spl0_126
| spl0_127
| spl0_128
| spl0_129
| spl0_130
| spl0_131 ),
inference(split_clause,[status(thm)],[f584,f566,f569,f572,f575,f578,f581]) ).
fof(f586,plain,
( spl0_132
<=> product(e_5,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f587,plain,
( product(e_5,e_3,e_1)
| ~ spl0_132 ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,plain,
( spl0_133
<=> product(e_5,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f590,plain,
( product(e_5,e_3,e_2)
| ~ spl0_133 ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,plain,
( spl0_134
<=> product(e_5,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f593,plain,
( product(e_5,e_3,e_3)
| ~ spl0_134 ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,plain,
( spl0_135
<=> product(e_5,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f596,plain,
( product(e_5,e_3,e_4)
| ~ spl0_135 ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,plain,
( spl0_136
<=> product(e_5,e_3,e_5) ),
introduced(split_symbol_definition) ).
fof(f599,plain,
( product(e_5,e_3,e_5)
| ~ spl0_136 ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,plain,
( spl0_137
<=> product(e_5,e_3,e_6) ),
introduced(split_symbol_definition) ).
fof(f602,plain,
( product(e_5,e_3,e_6)
| ~ spl0_137 ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| product(e_5,e_3,e_6) ),
inference(resolution,[status(thm)],[f545,f88]) ).
fof(f605,plain,
( spl0_132
| spl0_133
| spl0_134
| spl0_135
| spl0_136
| spl0_137 ),
inference(split_clause,[status(thm)],[f604,f586,f589,f592,f595,f598,f601]) ).
fof(f606,plain,
( spl0_138
<=> product(e_5,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f607,plain,
( product(e_5,e_2,e_1)
| ~ spl0_138 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,plain,
( spl0_139
<=> product(e_5,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f610,plain,
( product(e_5,e_2,e_2)
| ~ spl0_139 ),
inference(component_clause,[status(thm)],[f609]) ).
fof(f612,plain,
( spl0_140
<=> product(e_5,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f613,plain,
( product(e_5,e_2,e_3)
| ~ spl0_140 ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,plain,
( spl0_141
<=> product(e_5,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f616,plain,
( product(e_5,e_2,e_4)
| ~ spl0_141 ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,plain,
( spl0_142
<=> product(e_5,e_2,e_5) ),
introduced(split_symbol_definition) ).
fof(f619,plain,
( product(e_5,e_2,e_5)
| ~ spl0_142 ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f621,plain,
( spl0_143
<=> product(e_5,e_2,e_6) ),
introduced(split_symbol_definition) ).
fof(f622,plain,
( product(e_5,e_2,e_6)
| ~ spl0_143 ),
inference(component_clause,[status(thm)],[f621]) ).
fof(f624,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_6) ),
inference(resolution,[status(thm)],[f545,f87]) ).
fof(f625,plain,
( spl0_138
| spl0_139
| spl0_140
| spl0_141
| spl0_142
| spl0_143 ),
inference(split_clause,[status(thm)],[f624,f606,f609,f612,f615,f618,f621]) ).
fof(f626,plain,
( spl0_144
<=> product(e_5,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f627,plain,
( product(e_5,e_1,e_1)
| ~ spl0_144 ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,plain,
( spl0_145
<=> product(e_5,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f630,plain,
( product(e_5,e_1,e_2)
| ~ spl0_145 ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,plain,
( spl0_146
<=> product(e_5,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f633,plain,
( product(e_5,e_1,e_3)
| ~ spl0_146 ),
inference(component_clause,[status(thm)],[f632]) ).
fof(f635,plain,
( spl0_147
<=> product(e_5,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f636,plain,
( product(e_5,e_1,e_4)
| ~ spl0_147 ),
inference(component_clause,[status(thm)],[f635]) ).
fof(f638,plain,
( spl0_148
<=> product(e_5,e_1,e_5) ),
introduced(split_symbol_definition) ).
fof(f639,plain,
( product(e_5,e_1,e_5)
| ~ spl0_148 ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,plain,
( spl0_149
<=> product(e_5,e_1,e_6) ),
introduced(split_symbol_definition) ).
fof(f642,plain,
( product(e_5,e_1,e_6)
| ~ spl0_149 ),
inference(component_clause,[status(thm)],[f641]) ).
fof(f644,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_6) ),
inference(resolution,[status(thm)],[f545,f86]) ).
fof(f645,plain,
( spl0_144
| spl0_145
| spl0_146
| spl0_147
| spl0_148
| spl0_149 ),
inference(split_clause,[status(thm)],[f644,f626,f629,f632,f635,f638,f641]) ).
fof(f646,plain,
( spl0_150
<=> product(e_5,e_6,e_1) ),
introduced(split_symbol_definition) ).
fof(f647,plain,
( product(e_5,e_6,e_1)
| ~ spl0_150 ),
inference(component_clause,[status(thm)],[f646]) ).
fof(f649,plain,
( spl0_151
<=> product(e_5,e_6,e_2) ),
introduced(split_symbol_definition) ).
fof(f650,plain,
( product(e_5,e_6,e_2)
| ~ spl0_151 ),
inference(component_clause,[status(thm)],[f649]) ).
fof(f652,plain,
( spl0_152
<=> product(e_5,e_6,e_3) ),
introduced(split_symbol_definition) ).
fof(f653,plain,
( product(e_5,e_6,e_3)
| ~ spl0_152 ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,plain,
( spl0_153
<=> product(e_5,e_6,e_4) ),
introduced(split_symbol_definition) ).
fof(f656,plain,
( product(e_5,e_6,e_4)
| ~ spl0_153 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( spl0_154
<=> product(e_5,e_6,e_5) ),
introduced(split_symbol_definition) ).
fof(f659,plain,
( product(e_5,e_6,e_5)
| ~ spl0_154 ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( spl0_155
<=> product(e_5,e_6,e_6) ),
introduced(split_symbol_definition) ).
fof(f662,plain,
( product(e_5,e_6,e_6)
| ~ spl0_155 ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( product(e_5,e_6,e_1)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_5)
| product(e_5,e_6,e_6) ),
inference(resolution,[status(thm)],[f91,f545]) ).
fof(f665,plain,
( spl0_150
| spl0_151
| spl0_152
| spl0_153
| spl0_154
| spl0_155 ),
inference(split_clause,[status(thm)],[f664,f646,f649,f652,f655,f658,f661]) ).
fof(f666,plain,
( spl0_156
<=> product(e_4,e_6,e_1) ),
introduced(split_symbol_definition) ).
fof(f667,plain,
( product(e_4,e_6,e_1)
| ~ spl0_156 ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f669,plain,
( spl0_157
<=> product(e_4,e_6,e_2) ),
introduced(split_symbol_definition) ).
fof(f670,plain,
( product(e_4,e_6,e_2)
| ~ spl0_157 ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( spl0_158
<=> product(e_4,e_6,e_3) ),
introduced(split_symbol_definition) ).
fof(f673,plain,
( product(e_4,e_6,e_3)
| ~ spl0_158 ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,plain,
( spl0_159
<=> product(e_4,e_6,e_4) ),
introduced(split_symbol_definition) ).
fof(f676,plain,
( product(e_4,e_6,e_4)
| ~ spl0_159 ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,plain,
( spl0_160
<=> product(e_4,e_6,e_5) ),
introduced(split_symbol_definition) ).
fof(f679,plain,
( product(e_4,e_6,e_5)
| ~ spl0_160 ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,plain,
( spl0_161
<=> product(e_4,e_6,e_6) ),
introduced(split_symbol_definition) ).
fof(f682,plain,
( product(e_4,e_6,e_6)
| ~ spl0_161 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5)
| product(e_4,e_6,e_6) ),
inference(resolution,[status(thm)],[f91,f384]) ).
fof(f685,plain,
( spl0_156
| spl0_157
| spl0_158
| spl0_159
| spl0_160
| spl0_161 ),
inference(split_clause,[status(thm)],[f684,f666,f669,f672,f675,f678,f681]) ).
fof(f686,plain,
( spl0_162
<=> product(e_3,e_6,e_1) ),
introduced(split_symbol_definition) ).
fof(f687,plain,
( product(e_3,e_6,e_1)
| ~ spl0_162 ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,plain,
( spl0_163
<=> product(e_3,e_6,e_2) ),
introduced(split_symbol_definition) ).
fof(f690,plain,
( product(e_3,e_6,e_2)
| ~ spl0_163 ),
inference(component_clause,[status(thm)],[f689]) ).
fof(f692,plain,
( spl0_164
<=> product(e_3,e_6,e_3) ),
introduced(split_symbol_definition) ).
fof(f693,plain,
( product(e_3,e_6,e_3)
| ~ spl0_164 ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f695,plain,
( spl0_165
<=> product(e_3,e_6,e_4) ),
introduced(split_symbol_definition) ).
fof(f696,plain,
( product(e_3,e_6,e_4)
| ~ spl0_165 ),
inference(component_clause,[status(thm)],[f695]) ).
fof(f698,plain,
( spl0_166
<=> product(e_3,e_6,e_5) ),
introduced(split_symbol_definition) ).
fof(f699,plain,
( product(e_3,e_6,e_5)
| ~ spl0_166 ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,plain,
( spl0_167
<=> product(e_3,e_6,e_6) ),
introduced(split_symbol_definition) ).
fof(f702,plain,
( product(e_3,e_6,e_6)
| ~ spl0_167 ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f704,plain,
( product(e_3,e_6,e_1)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_5)
| product(e_3,e_6,e_6) ),
inference(resolution,[status(thm)],[f91,f263]) ).
fof(f705,plain,
( spl0_162
| spl0_163
| spl0_164
| spl0_165
| spl0_166
| spl0_167 ),
inference(split_clause,[status(thm)],[f704,f686,f689,f692,f695,f698,f701]) ).
fof(f706,plain,
( spl0_168
<=> product(e_2,e_6,e_1) ),
introduced(split_symbol_definition) ).
fof(f707,plain,
( product(e_2,e_6,e_1)
| ~ spl0_168 ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,plain,
( spl0_169
<=> product(e_2,e_6,e_2) ),
introduced(split_symbol_definition) ).
fof(f710,plain,
( product(e_2,e_6,e_2)
| ~ spl0_169 ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,plain,
( spl0_170
<=> product(e_2,e_6,e_3) ),
introduced(split_symbol_definition) ).
fof(f713,plain,
( product(e_2,e_6,e_3)
| ~ spl0_170 ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,plain,
( spl0_171
<=> product(e_2,e_6,e_4) ),
introduced(split_symbol_definition) ).
fof(f716,plain,
( product(e_2,e_6,e_4)
| ~ spl0_171 ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,plain,
( spl0_172
<=> product(e_2,e_6,e_5) ),
introduced(split_symbol_definition) ).
fof(f719,plain,
( product(e_2,e_6,e_5)
| ~ spl0_172 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,plain,
( spl0_173
<=> product(e_2,e_6,e_6) ),
introduced(split_symbol_definition) ).
fof(f722,plain,
( product(e_2,e_6,e_6)
| ~ spl0_173 ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_2,e_6,e_6) ),
inference(resolution,[status(thm)],[f91,f182]) ).
fof(f725,plain,
( spl0_168
| spl0_169
| spl0_170
| spl0_171
| spl0_172
| spl0_173 ),
inference(split_clause,[status(thm)],[f724,f706,f709,f712,f715,f718,f721]) ).
fof(f726,plain,
( spl0_174
<=> product(e_1,e_6,e_1) ),
introduced(split_symbol_definition) ).
fof(f727,plain,
( product(e_1,e_6,e_1)
| ~ spl0_174 ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,plain,
( spl0_175
<=> product(e_1,e_6,e_2) ),
introduced(split_symbol_definition) ).
fof(f730,plain,
( product(e_1,e_6,e_2)
| ~ spl0_175 ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,plain,
( spl0_176
<=> product(e_1,e_6,e_3) ),
introduced(split_symbol_definition) ).
fof(f733,plain,
( product(e_1,e_6,e_3)
| ~ spl0_176 ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,plain,
( spl0_177
<=> product(e_1,e_6,e_4) ),
introduced(split_symbol_definition) ).
fof(f736,plain,
( product(e_1,e_6,e_4)
| ~ spl0_177 ),
inference(component_clause,[status(thm)],[f735]) ).
fof(f738,plain,
( spl0_178
<=> product(e_1,e_6,e_5) ),
introduced(split_symbol_definition) ).
fof(f739,plain,
( product(e_1,e_6,e_5)
| ~ spl0_178 ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f741,plain,
( spl0_179
<=> product(e_1,e_6,e_6) ),
introduced(split_symbol_definition) ).
fof(f742,plain,
( product(e_1,e_6,e_6)
| ~ spl0_179 ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,plain,
( product(e_1,e_6,e_1)
| product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_5)
| product(e_1,e_6,e_6) ),
inference(resolution,[status(thm)],[f91,f141]) ).
fof(f745,plain,
( spl0_174
| spl0_175
| spl0_176
| spl0_177
| spl0_178
| spl0_179 ),
inference(split_clause,[status(thm)],[f744,f726,f729,f732,f735,f738,f741]) ).
fof(f746,plain,
! [X0] :
( ~ group_element(X0)
| product(e_6,X0,e_1)
| product(e_6,X0,e_2)
| product(e_6,X0,e_3)
| product(e_6,X0,e_4)
| product(e_6,X0,e_5)
| product(e_6,X0,e_6) ),
inference(resolution,[status(thm)],[f91,f122]) ).
fof(f747,plain,
( spl0_180
<=> product(e_6,e_6,e_1) ),
introduced(split_symbol_definition) ).
fof(f748,plain,
( product(e_6,e_6,e_1)
| ~ spl0_180 ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f750,plain,
( spl0_181
<=> product(e_6,e_6,e_2) ),
introduced(split_symbol_definition) ).
fof(f751,plain,
( product(e_6,e_6,e_2)
| ~ spl0_181 ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,plain,
( spl0_182
<=> product(e_6,e_6,e_3) ),
introduced(split_symbol_definition) ).
fof(f754,plain,
( product(e_6,e_6,e_3)
| ~ spl0_182 ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,plain,
( spl0_183
<=> product(e_6,e_6,e_4) ),
introduced(split_symbol_definition) ).
fof(f757,plain,
( product(e_6,e_6,e_4)
| ~ spl0_183 ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f759,plain,
( spl0_184
<=> product(e_6,e_6,e_5) ),
introduced(split_symbol_definition) ).
fof(f760,plain,
( product(e_6,e_6,e_5)
| ~ spl0_184 ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,plain,
( spl0_185
<=> product(e_6,e_6,e_6) ),
introduced(split_symbol_definition) ).
fof(f765,plain,
( product(e_6,e_6,e_1)
| product(e_6,e_6,e_2)
| product(e_6,e_6,e_3)
| product(e_6,e_6,e_4)
| product(e_6,e_6,e_5)
| product(e_6,e_6,e_6) ),
inference(resolution,[status(thm)],[f746,f91]) ).
fof(f766,plain,
( spl0_180
| spl0_181
| spl0_182
| spl0_183
| spl0_184
| spl0_185 ),
inference(split_clause,[status(thm)],[f765,f747,f750,f753,f756,f759,f762]) ).
fof(f767,plain,
( spl0_186
<=> product(e_6,e_5,e_1) ),
introduced(split_symbol_definition) ).
fof(f768,plain,
( product(e_6,e_5,e_1)
| ~ spl0_186 ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f770,plain,
( spl0_187
<=> product(e_6,e_5,e_2) ),
introduced(split_symbol_definition) ).
fof(f771,plain,
( product(e_6,e_5,e_2)
| ~ spl0_187 ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,plain,
( spl0_188
<=> product(e_6,e_5,e_3) ),
introduced(split_symbol_definition) ).
fof(f774,plain,
( product(e_6,e_5,e_3)
| ~ spl0_188 ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( spl0_189
<=> product(e_6,e_5,e_4) ),
introduced(split_symbol_definition) ).
fof(f777,plain,
( product(e_6,e_5,e_4)
| ~ spl0_189 ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f779,plain,
( spl0_190
<=> product(e_6,e_5,e_5) ),
introduced(split_symbol_definition) ).
fof(f780,plain,
( product(e_6,e_5,e_5)
| ~ spl0_190 ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,plain,
( spl0_191
<=> product(e_6,e_5,e_6) ),
introduced(split_symbol_definition) ).
fof(f783,plain,
( product(e_6,e_5,e_6)
| ~ spl0_191 ),
inference(component_clause,[status(thm)],[f782]) ).
fof(f785,plain,
( product(e_6,e_5,e_1)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_5)
| product(e_6,e_5,e_6) ),
inference(resolution,[status(thm)],[f746,f90]) ).
fof(f786,plain,
( spl0_186
| spl0_187
| spl0_188
| spl0_189
| spl0_190
| spl0_191 ),
inference(split_clause,[status(thm)],[f785,f767,f770,f773,f776,f779,f782]) ).
fof(f787,plain,
( spl0_192
<=> product(e_6,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f788,plain,
( product(e_6,e_4,e_1)
| ~ spl0_192 ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f790,plain,
( spl0_193
<=> product(e_6,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f791,plain,
( product(e_6,e_4,e_2)
| ~ spl0_193 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,plain,
( spl0_194
<=> product(e_6,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f794,plain,
( product(e_6,e_4,e_3)
| ~ spl0_194 ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,plain,
( spl0_195
<=> product(e_6,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f797,plain,
( product(e_6,e_4,e_4)
| ~ spl0_195 ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,plain,
( spl0_196
<=> product(e_6,e_4,e_5) ),
introduced(split_symbol_definition) ).
fof(f800,plain,
( product(e_6,e_4,e_5)
| ~ spl0_196 ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,plain,
( spl0_197
<=> product(e_6,e_4,e_6) ),
introduced(split_symbol_definition) ).
fof(f803,plain,
( product(e_6,e_4,e_6)
| ~ spl0_197 ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f805,plain,
( product(e_6,e_4,e_1)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_5)
| product(e_6,e_4,e_6) ),
inference(resolution,[status(thm)],[f746,f89]) ).
fof(f806,plain,
( spl0_192
| spl0_193
| spl0_194
| spl0_195
| spl0_196
| spl0_197 ),
inference(split_clause,[status(thm)],[f805,f787,f790,f793,f796,f799,f802]) ).
fof(f807,plain,
( spl0_198
<=> product(e_6,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f808,plain,
( product(e_6,e_3,e_1)
| ~ spl0_198 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,plain,
( spl0_199
<=> product(e_6,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f811,plain,
( product(e_6,e_3,e_2)
| ~ spl0_199 ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,plain,
( spl0_200
<=> product(e_6,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f814,plain,
( product(e_6,e_3,e_3)
| ~ spl0_200 ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,plain,
( spl0_201
<=> product(e_6,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f817,plain,
( product(e_6,e_3,e_4)
| ~ spl0_201 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,plain,
( spl0_202
<=> product(e_6,e_3,e_5) ),
introduced(split_symbol_definition) ).
fof(f820,plain,
( product(e_6,e_3,e_5)
| ~ spl0_202 ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,plain,
( spl0_203
<=> product(e_6,e_3,e_6) ),
introduced(split_symbol_definition) ).
fof(f823,plain,
( product(e_6,e_3,e_6)
| ~ spl0_203 ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,plain,
( product(e_6,e_3,e_1)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_5)
| product(e_6,e_3,e_6) ),
inference(resolution,[status(thm)],[f746,f88]) ).
fof(f826,plain,
( spl0_198
| spl0_199
| spl0_200
| spl0_201
| spl0_202
| spl0_203 ),
inference(split_clause,[status(thm)],[f825,f807,f810,f813,f816,f819,f822]) ).
fof(f827,plain,
( spl0_204
<=> product(e_6,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f828,plain,
( product(e_6,e_2,e_1)
| ~ spl0_204 ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,plain,
( spl0_205
<=> product(e_6,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f831,plain,
( product(e_6,e_2,e_2)
| ~ spl0_205 ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,plain,
( spl0_206
<=> product(e_6,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f834,plain,
( product(e_6,e_2,e_3)
| ~ spl0_206 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,plain,
( spl0_207
<=> product(e_6,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f837,plain,
( product(e_6,e_2,e_4)
| ~ spl0_207 ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,plain,
( spl0_208
<=> product(e_6,e_2,e_5) ),
introduced(split_symbol_definition) ).
fof(f840,plain,
( product(e_6,e_2,e_5)
| ~ spl0_208 ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f842,plain,
( spl0_209
<=> product(e_6,e_2,e_6) ),
introduced(split_symbol_definition) ).
fof(f843,plain,
( product(e_6,e_2,e_6)
| ~ spl0_209 ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,plain,
( product(e_6,e_2,e_1)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_5)
| product(e_6,e_2,e_6) ),
inference(resolution,[status(thm)],[f746,f87]) ).
fof(f846,plain,
( spl0_204
| spl0_205
| spl0_206
| spl0_207
| spl0_208
| spl0_209 ),
inference(split_clause,[status(thm)],[f845,f827,f830,f833,f836,f839,f842]) ).
fof(f847,plain,
( spl0_210
<=> product(e_6,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f848,plain,
( product(e_6,e_1,e_1)
| ~ spl0_210 ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,plain,
( spl0_211
<=> product(e_6,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f851,plain,
( product(e_6,e_1,e_2)
| ~ spl0_211 ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f853,plain,
( spl0_212
<=> product(e_6,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f854,plain,
( product(e_6,e_1,e_3)
| ~ spl0_212 ),
inference(component_clause,[status(thm)],[f853]) ).
fof(f856,plain,
( spl0_213
<=> product(e_6,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f857,plain,
( product(e_6,e_1,e_4)
| ~ spl0_213 ),
inference(component_clause,[status(thm)],[f856]) ).
fof(f859,plain,
( spl0_214
<=> product(e_6,e_1,e_5) ),
introduced(split_symbol_definition) ).
fof(f860,plain,
( product(e_6,e_1,e_5)
| ~ spl0_214 ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f862,plain,
( spl0_215
<=> product(e_6,e_1,e_6) ),
introduced(split_symbol_definition) ).
fof(f863,plain,
( product(e_6,e_1,e_6)
| ~ spl0_215 ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,plain,
( product(e_6,e_1,e_1)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_5)
| product(e_6,e_1,e_6) ),
inference(resolution,[status(thm)],[f746,f86]) ).
fof(f866,plain,
( spl0_210
| spl0_211
| spl0_212
| spl0_213
| spl0_214
| spl0_215 ),
inference(split_clause,[status(thm)],[f865,f847,f850,f853,f856,f859,f862]) ).
fof(f870,plain,
( equalish(e_1,e_6)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f158,f134]) ).
fof(f871,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f870,f96]) ).
fof(f872,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f871]) ).
fof(f873,plain,
! [X0] :
( ~ product(X0,e_2,e_6)
| equalish(e_1,X0)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f178,f128]) ).
fof(f875,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| equalish(e_6,X0)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f178,f124]) ).
fof(f876,plain,
! [X0] :
( ~ product(e_6,e_1,X0)
| product(X0,e_1,e_2)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f178,f131]) ).
fof(f880,plain,
( equalish(e_6,e_5)
| ~ spl0_10
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f175,f875]) ).
fof(f881,plain,
( $false
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f880,f121]) ).
fof(f882,plain,
( ~ spl0_10
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f881]) ).
fof(f883,plain,
! [X0] :
( ~ product(X0,e_2,e_4)
| equalish(e_1,X0)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f172,f128]) ).
fof(f884,plain,
! [X0] :
( ~ product(e_1,X0,e_4)
| equalish(e_2,X0)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f172,f126]) ).
fof(f885,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| equalish(e_4,X0)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f172,f124]) ).
fof(f886,plain,
! [X0] :
( ~ product(e_4,e_1,X0)
| product(X0,e_1,e_2)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f172,f131]) ).
fof(f890,plain,
( equalish(e_4,e_3)
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f169,f885]) ).
fof(f891,plain,
( $false
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f890,f109]) ).
fof(f892,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f891]) ).
fof(f893,plain,
( equalish(e_2,e_1)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f166,f138]) ).
fof(f894,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f893,f97]) ).
fof(f895,plain,
~ spl0_7,
inference(contradiction_clause,[status(thm)],[f894]) ).
fof(f897,plain,
( equalish(e_1,e_2)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f163,f136]) ).
fof(f898,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f897,f92]) ).
fof(f899,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f898]) ).
fof(f901,plain,
! [X0] :
( ~ product(X0,e_1,e_6)
| equalish(e_2,X0)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f219,f128]) ).
fof(f902,plain,
! [X0] :
( ~ product(e_2,X0,e_6)
| equalish(e_1,X0)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f219,f126]) ).
fof(f903,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| equalish(e_6,X0)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f219,f124]) ).
fof(f904,plain,
! [X0] :
( ~ product(e_6,e_2,X0)
| product(X0,e_2,e_1)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f219,f131]) ).
fof(f908,plain,
( equalish(e_6,e_5)
| ~ spl0_22
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f216,f903]) ).
fof(f909,plain,
( $false
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f908,f121]) ).
fof(f910,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f909]) ).
fof(f912,plain,
! [X0] :
( ~ product(X0,e_1,e_4)
| equalish(e_2,X0)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f213,f128]) ).
fof(f913,plain,
! [X0] :
( ~ product(e_2,X0,e_4)
| equalish(e_1,X0)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f213,f126]) ).
fof(f914,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| equalish(e_4,X0)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f213,f124]) ).
fof(f915,plain,
! [X0] :
( ~ product(e_4,e_2,X0)
| product(X0,e_2,e_1)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f213,f131]) ).
fof(f919,plain,
( equalish(e_4,e_3)
| ~ spl0_20
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f210,f914]) ).
fof(f920,plain,
( $false
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f919,f109]) ).
fof(f921,plain,
( ~ spl0_20
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f920]) ).
fof(f924,plain,
( equalish(e_2,e_1)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f207,f136]) ).
fof(f925,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f924,f97]) ).
fof(f926,plain,
~ spl0_19,
inference(contradiction_clause,[status(thm)],[f925]) ).
fof(f928,plain,
( equalish(e_1,e_2)
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f204,f138]) ).
fof(f929,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f928,f92]) ).
fof(f930,plain,
~ spl0_18,
inference(contradiction_clause,[status(thm)],[f929]) ).
fof(f933,plain,
( equalish(e_2,e_6)
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f199,f134]) ).
fof(f934,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f933,f101]) ).
fof(f935,plain,
~ spl0_17,
inference(contradiction_clause,[status(thm)],[f934]) ).
fof(f938,plain,
( equalish(e_2,e_5)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f196,f134]) ).
fof(f939,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f938,f100]) ).
fof(f940,plain,
~ spl0_16,
inference(contradiction_clause,[status(thm)],[f939]) ).
fof(f944,plain,
! [X0] :
( ~ product(X0,e_2,e_3)
| equalish(e_1,X0)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f169,f128]) ).
fof(f945,plain,
! [X0] :
( ~ product(e_1,X0,e_3)
| equalish(e_2,X0)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f169,f126]) ).
fof(f947,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| product(X0,e_1,e_2)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f169,f131]) ).
fof(f951,plain,
! [X0] :
( ~ product(X0,e_2,e_5)
| equalish(e_1,X0)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f175,f128]) ).
fof(f952,plain,
! [X0] :
( ~ product(e_1,X0,e_5)
| equalish(e_2,X0)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f175,f126]) ).
fof(f953,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| equalish(e_5,X0)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f175,f124]) ).
fof(f954,plain,
! [X0] :
( ~ product(e_5,e_1,X0)
| product(X0,e_1,e_2)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f175,f131]) ).
fof(f957,plain,
( equalish(e_2,e_1)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f184,f134]) ).
fof(f958,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f957,f97]) ).
fof(f959,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f958]) ).
fof(f961,plain,
! [X0] :
( ~ product(e_1,X0,e_6)
| equalish(e_3,X0)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f259,f126]) ).
fof(f962,plain,
! [X0] :
( ~ product(e_1,e_3,X0)
| equalish(e_6,X0)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f259,f124]) ).
fof(f963,plain,
! [X0] :
( ~ product(e_6,e_1,X0)
| product(X0,e_1,e_3)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f259,f131]) ).
fof(f967,plain,
( equalish(e_6,e_5)
| ~ spl0_34
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f256,f962]) ).
fof(f968,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f967,f121]) ).
fof(f969,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f968]) ).
fof(f970,plain,
! [X0] :
( ~ product(X0,e_3,e_4)
| equalish(e_1,X0)
| ~ spl0_33 ),
inference(resolution,[status(thm)],[f253,f128]) ).
fof(f971,plain,
! [X0] :
( ~ product(e_1,X0,e_4)
| equalish(e_3,X0)
| ~ spl0_33 ),
inference(resolution,[status(thm)],[f253,f126]) ).
fof(f973,plain,
! [X0] :
( ~ product(e_4,e_1,X0)
| product(X0,e_1,e_3)
| ~ spl0_33 ),
inference(resolution,[status(thm)],[f253,f131]) ).
fof(f980,plain,
! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(e_1,X0)
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f247,f128]) ).
fof(f981,plain,
! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(e_3,X0)
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f247,f126]) ).
fof(f983,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| product(X0,e_1,e_3)
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f247,f131]) ).
fof(f990,plain,
! [X0] :
( ~ product(X0,e_3,e_6)
| equalish(e_2,X0)
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f239,f128]) ).
fof(f991,plain,
! [X0] :
( ~ product(e_2,X0,e_6)
| equalish(e_3,X0)
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f239,f126]) ).
fof(f992,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| equalish(e_6,X0)
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f239,f124]) ).
fof(f993,plain,
! [X0] :
( ~ product(e_6,e_2,X0)
| product(X0,e_2,e_3)
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f239,f131]) ).
fof(f994,plain,
! [X0] :
( ~ product(X0,e_3,e_5)
| equalish(e_2,X0)
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f236,f128]) ).
fof(f996,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| equalish(e_5,X0)
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f236,f124]) ).
fof(f997,plain,
! [X0] :
( ~ product(e_5,e_2,X0)
| product(X0,e_2,e_3)
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f236,f131]) ).
fof(f998,plain,
( equalish(e_1,e_3)
| ~ spl0_27
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f233,f913]) ).
fof(f999,plain,
( $false
| ~ spl0_27
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f998,f93]) ).
fof(f1000,plain,
( ~ spl0_27
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f999]) ).
fof(f1004,plain,
! [X0] :
( ~ product(e_4,e_2,X0)
| product(X0,e_2,e_3)
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f233,f131]) ).
fof(f1006,plain,
! [X0] :
( ~ product(X0,e_1,e_3)
| equalish(e_2,X0)
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f210,f128]) ).
fof(f1007,plain,
! [X0] :
( ~ product(e_2,X0,e_3)
| equalish(e_1,X0)
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f210,f126]) ).
fof(f1009,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| product(X0,e_2,e_1)
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f210,f131]) ).
fof(f1010,plain,
( equalish(e_3,e_2)
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f230,f138]) ).
fof(f1011,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f1010,f103]) ).
fof(f1012,plain,
~ spl0_26,
inference(contradiction_clause,[status(thm)],[f1011]) ).
fof(f1015,plain,
( equalish(e_6,e_4)
| ~ spl0_29
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f992,f233]) ).
fof(f1016,plain,
( $false
| ~ spl0_29
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f1015,f120]) ).
fof(f1017,plain,
( ~ spl0_29
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f1016]) ).
fof(f1018,plain,
( equalish(e_6,e_5)
| ~ spl0_29
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f992,f236]) ).
fof(f1019,plain,
( $false
| ~ spl0_29
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f1018,f121]) ).
fof(f1020,plain,
( ~ spl0_29
| ~ spl0_28 ),
inference(contradiction_clause,[status(thm)],[f1019]) ).
fof(f1031,plain,
( equalish(e_1,e_3)
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f244,f136]) ).
fof(f1032,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f1031,f93]) ).
fof(f1033,plain,
~ spl0_30,
inference(contradiction_clause,[status(thm)],[f1032]) ).
fof(f1034,plain,
( equalish(e_5,e_1)
| ~ spl0_24
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f224,f996]) ).
fof(f1035,plain,
( $false
| ~ spl0_24
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f1034,f112]) ).
fof(f1036,plain,
( ~ spl0_24
| ~ spl0_28 ),
inference(contradiction_clause,[status(thm)],[f1035]) ).
fof(f1038,plain,
! [X0] :
( ~ product(X0,e_1,e_6)
| equalish(e_3,X0)
| ~ spl0_53 ),
inference(resolution,[status(thm)],[f320,f128]) ).
fof(f1039,plain,
! [X0] :
( ~ product(e_3,X0,e_6)
| equalish(e_1,X0)
| ~ spl0_53 ),
inference(resolution,[status(thm)],[f320,f126]) ).
fof(f1040,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| equalish(e_6,X0)
| ~ spl0_53 ),
inference(resolution,[status(thm)],[f320,f124]) ).
fof(f1041,plain,
! [X0] :
( ~ product(e_6,e_3,X0)
| product(X0,e_3,e_1)
| ~ spl0_53 ),
inference(resolution,[status(thm)],[f320,f131]) ).
fof(f1045,plain,
( equalish(e_6,e_5)
| ~ spl0_52
| ~ spl0_53 ),
inference(resolution,[status(thm)],[f317,f1040]) ).
fof(f1046,plain,
( $false
| ~ spl0_52
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f1045,f121]) ).
fof(f1047,plain,
( ~ spl0_52
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f1046]) ).
fof(f1049,plain,
! [X0] :
( ~ product(X0,e_1,e_4)
| equalish(e_3,X0)
| ~ spl0_51 ),
inference(resolution,[status(thm)],[f314,f128]) ).
fof(f1050,plain,
! [X0] :
( ~ product(e_3,X0,e_4)
| equalish(e_1,X0)
| ~ spl0_51 ),
inference(resolution,[status(thm)],[f314,f126]) ).
fof(f1060,plain,
! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(e_3,X0)
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f308,f128]) ).
fof(f1061,plain,
! [X0] :
( ~ product(e_3,X0,e_2)
| equalish(e_1,X0)
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f308,f126]) ).
fof(f1070,plain,
! [X0] :
( ~ product(X0,e_2,e_6)
| equalish(e_3,X0)
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f300,f128]) ).
fof(f1071,plain,
! [X0] :
( ~ product(e_3,X0,e_6)
| equalish(e_2,X0)
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f300,f126]) ).
fof(f1072,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| equalish(e_6,X0)
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f300,f124]) ).
fof(f1073,plain,
! [X0] :
( ~ product(e_6,e_3,X0)
| product(X0,e_3,e_2)
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f300,f131]) ).
fof(f1077,plain,
( equalish(e_6,e_5)
| ~ spl0_46
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f297,f1072]) ).
fof(f1078,plain,
( $false
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1077,f121]) ).
fof(f1079,plain,
( ~ spl0_46
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f1078]) ).
fof(f1080,plain,
( equalish(e_6,e_4)
| ~ spl0_45
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f294,f1072]) ).
fof(f1081,plain,
( $false
| ~ spl0_45
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1080,f120]) ).
fof(f1082,plain,
( ~ spl0_45
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f1081]) ).
fof(f1083,plain,
! [X0] :
( ~ product(X0,e_2,e_4)
| equalish(e_3,X0)
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f294,f128]) ).
fof(f1086,plain,
! [X0] :
( ~ product(e_4,e_3,X0)
| product(X0,e_3,e_2)
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f294,f131]) ).
fof(f1087,plain,
( equalish(e_1,e_3)
| ~ spl0_46
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f297,f951]) ).
fof(f1088,plain,
( $false
| ~ spl0_46
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1087,f93]) ).
fof(f1089,plain,
( ~ spl0_46
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1088]) ).
fof(f1097,plain,
( equalish(e_3,e_2)
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f291,f136]) ).
fof(f1098,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f1097,f103]) ).
fof(f1099,plain,
~ spl0_44,
inference(contradiction_clause,[status(thm)],[f1098]) ).
fof(f1106,plain,
( equalish(e_1,e_3)
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f305,f138]) ).
fof(f1107,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f1106,f93]) ).
fof(f1108,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f1107]) ).
fof(f1109,plain,
( equalish(e_6,e_1)
| ~ spl0_42
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f285,f1072]) ).
fof(f1110,plain,
( $false
| ~ spl0_42
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1109,f117]) ).
fof(f1111,plain,
( ~ spl0_42
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f1110]) ).
fof(f1114,plain,
( equalish(e_3,e_6)
| ~ spl0_41 ),
inference(resolution,[status(thm)],[f280,f134]) ).
fof(f1115,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f1114,f106]) ).
fof(f1116,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f1115]) ).
fof(f1119,plain,
( equalish(e_3,e_5)
| ~ spl0_40 ),
inference(resolution,[status(thm)],[f277,f134]) ).
fof(f1120,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f1119,f105]) ).
fof(f1121,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f1120]) ).
fof(f1132,plain,
! [X0] :
( ~ product(X0,e_1,e_5)
| equalish(e_3,X0)
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f317,f128]) ).
fof(f1133,plain,
! [X0] :
( ~ product(e_3,X0,e_5)
| equalish(e_1,X0)
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f317,f126]) ).
fof(f1135,plain,
! [X0] :
( ~ product(e_5,e_3,X0)
| product(X0,e_3,e_1)
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f317,f131]) ).
fof(f1138,plain,
( equalish(e_3,e_1)
| ~ spl0_36 ),
inference(resolution,[status(thm)],[f265,f134]) ).
fof(f1139,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f1138,f102]) ).
fof(f1140,plain,
~ spl0_36,
inference(contradiction_clause,[status(thm)],[f1139]) ).
fof(f1141,plain,
! [X0] :
( ~ product(X0,e_4,e_6)
| equalish(e_1,X0)
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f380,f128]) ).
fof(f1142,plain,
! [X0] :
( ~ product(e_1,X0,e_6)
| equalish(e_4,X0)
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f380,f126]) ).
fof(f1143,plain,
! [X0] :
( ~ product(e_1,e_4,X0)
| equalish(e_6,X0)
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f380,f124]) ).
fof(f1144,plain,
! [X0] :
( ~ product(e_6,e_1,X0)
| product(X0,e_1,e_4)
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f380,f131]) ).
fof(f1148,plain,
( equalish(e_6,e_5)
| ~ spl0_70
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f377,f1143]) ).
fof(f1149,plain,
( $false
| ~ spl0_70
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f1148,f121]) ).
fof(f1150,plain,
( ~ spl0_70
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f1149]) ).
fof(f1154,plain,
( equalish(e_3,e_1)
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f250,f138]) ).
fof(f1155,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f1154,f102]) ).
fof(f1156,plain,
~ spl0_32,
inference(contradiction_clause,[status(thm)],[f1155]) ).
fof(f1157,plain,
! [X0] :
( ~ product(X0,e_4,e_3)
| equalish(e_1,X0)
| ~ spl0_68 ),
inference(resolution,[status(thm)],[f371,f128]) ).
fof(f1158,plain,
! [X0] :
( ~ product(e_1,X0,e_3)
| equalish(e_4,X0)
| ~ spl0_68 ),
inference(resolution,[status(thm)],[f371,f126]) ).
fof(f1159,plain,
! [X0] :
( ~ product(e_1,e_4,X0)
| equalish(e_3,X0)
| ~ spl0_68 ),
inference(resolution,[status(thm)],[f371,f124]) ).
fof(f1160,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| product(X0,e_1,e_4)
| ~ spl0_68 ),
inference(resolution,[status(thm)],[f371,f131]) ).
fof(f1164,plain,
( equalish(e_3,e_2)
| ~ spl0_67
| ~ spl0_68 ),
inference(resolution,[status(thm)],[f368,f1159]) ).
fof(f1165,plain,
( $false
| ~ spl0_67
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f1164,f103]) ).
fof(f1166,plain,
( ~ spl0_67
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f1165]) ).
fof(f1168,plain,
( equalish(e_1,e_4)
| ~ spl0_66 ),
inference(resolution,[status(thm)],[f365,f136]) ).
fof(f1169,plain,
( $false
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f1168,f94]) ).
fof(f1170,plain,
~ spl0_66,
inference(contradiction_clause,[status(thm)],[f1169]) ).
fof(f1171,plain,
! [X0] :
( ~ product(X0,e_4,e_6)
| equalish(e_2,X0)
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f360,f128]) ).
fof(f1173,plain,
! [X0] :
( ~ product(e_2,e_4,X0)
| equalish(e_6,X0)
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f360,f124]) ).
fof(f1174,plain,
! [X0] :
( ~ product(e_6,e_2,X0)
| product(X0,e_2,e_4)
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f360,f131]) ).
fof(f1178,plain,
( equalish(e_6,e_5)
| ~ spl0_64
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f357,f1173]) ).
fof(f1179,plain,
( $false
| ~ spl0_64
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f1178,f121]) ).
fof(f1180,plain,
( ~ spl0_64
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f1179]) ).
fof(f1187,plain,
! [X0] :
( ~ product(X0,e_4,e_5)
| equalish(e_2,X0)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f357,f128]) ).
fof(f1188,plain,
! [X0] :
( ~ product(e_2,X0,e_5)
| equalish(e_4,X0)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f357,f126]) ).
fof(f1189,plain,
! [X0] :
( ~ product(e_2,e_4,X0)
| equalish(e_5,X0)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f357,f124]) ).
fof(f1190,plain,
! [X0] :
( ~ product(e_5,e_2,X0)
| product(X0,e_2,e_4)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f357,f131]) ).
fof(f1191,plain,
( equalish(e_5,e_3)
| ~ spl0_62
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f351,f1189]) ).
fof(f1192,plain,
( $false
| ~ spl0_62
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f1191,f114]) ).
fof(f1193,plain,
( ~ spl0_62
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f1192]) ).
fof(f1194,plain,
( equalish(e_1,e_4)
| ~ spl0_62
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f351,f1007]) ).
fof(f1195,plain,
( $false
| ~ spl0_62
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f1194,f94]) ).
fof(f1196,plain,
( ~ spl0_62
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f1195]) ).
fof(f1198,plain,
( equalish(e_2,e_4)
| ~ spl0_61 ),
inference(resolution,[status(thm)],[f348,f136]) ).
fof(f1199,plain,
( $false
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f1198,f99]) ).
fof(f1200,plain,
~ spl0_61,
inference(contradiction_clause,[status(thm)],[f1199]) ).
fof(f1204,plain,
! [X0] :
( ~ product(X0,e_4,e_1)
| equalish(e_2,X0)
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f345,f128]) ).
fof(f1205,plain,
! [X0] :
( ~ product(e_2,X0,e_1)
| equalish(e_4,X0)
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f345,f126]) ).
fof(f1207,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| product(X0,e_2,e_4)
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f345,f131]) ).
fof(f1211,plain,
( equalish(e_5,e_1)
| ~ spl0_64
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f1189,f345]) ).
fof(f1212,plain,
( $false
| ~ spl0_64
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f1211,f112]) ).
fof(f1213,plain,
( ~ spl0_64
| ~ spl0_60 ),
inference(contradiction_clause,[status(thm)],[f1212]) ).
fof(f1214,plain,
( equalish(e_1,e_2)
| ~ spl0_62
| ~ spl0_68 ),
inference(resolution,[status(thm)],[f351,f1157]) ).
fof(f1215,plain,
( $false
| ~ spl0_62
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f1214,f92]) ).
fof(f1216,plain,
( ~ spl0_62
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f1215]) ).
fof(f1218,plain,
! [X0] :
( ~ product(e_2,X0,e_3)
| equalish(e_4,X0)
| ~ spl0_62 ),
inference(resolution,[status(thm)],[f351,f126]) ).
fof(f1220,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| product(X0,e_2,e_4)
| ~ spl0_62 ),
inference(resolution,[status(thm)],[f351,f131]) ).
fof(f1222,plain,
! [X0] :
( ~ product(X0,e_1,e_5)
| equalish(e_2,X0)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f216,f128]) ).
fof(f1225,plain,
! [X0] :
( ~ product(e_5,e_2,X0)
| product(X0,e_2,e_1)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f216,f131]) ).
fof(f1226,plain,
( equalish(e_3,e_4)
| ~ spl0_67
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f368,f981]) ).
fof(f1227,plain,
( $false
| ~ spl0_67
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f1226,f104]) ).
fof(f1228,plain,
( ~ spl0_67
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f1227]) ).
fof(f1229,plain,
( equalish(e_4,e_1)
| ~ spl0_69 ),
inference(resolution,[status(thm)],[f374,f138]) ).
fof(f1230,plain,
( $false
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[status(thm)],[f1229,f107]) ).
fof(f1231,plain,
~ spl0_69,
inference(contradiction_clause,[status(thm)],[f1230]) ).
fof(f1232,plain,
( equalish(e_2,e_4)
| ~ spl0_70
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f377,f952]) ).
fof(f1233,plain,
( $false
| ~ spl0_70
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1232,f99]) ).
fof(f1234,plain,
( ~ spl0_70
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1233]) ).
fof(f1235,plain,
( equalish(e_4,e_2)
| ~ spl0_63 ),
inference(resolution,[status(thm)],[f354,f138]) ).
fof(f1236,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f1235,f108]) ).
fof(f1237,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f1236]) ).
fof(f1238,plain,
( equalish(e_2,e_4)
| ~ spl0_59
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f340,f1071]) ).
fof(f1239,plain,
( $false
| ~ spl0_59
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1238,f99]) ).
fof(f1240,plain,
( ~ spl0_59
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f1239]) ).
fof(f1241,plain,
( equalish(e_1,e_4)
| ~ spl0_58
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f337,f1133]) ).
fof(f1242,plain,
( $false
| ~ spl0_58
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f1241,f94]) ).
fof(f1243,plain,
( ~ spl0_58
| ~ spl0_52 ),
inference(contradiction_clause,[status(thm)],[f1242]) ).
fof(f1244,plain,
( equalish(e_4,e_3)
| ~ spl0_57 ),
inference(resolution,[status(thm)],[f334,f138]) ).
fof(f1245,plain,
( $false
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f1244,f109]) ).
fof(f1246,plain,
~ spl0_57,
inference(contradiction_clause,[status(thm)],[f1245]) ).
fof(f1250,plain,
! [X0] :
( ~ product(X0,e_4,e_2)
| equalish(e_1,X0)
| ~ spl0_67 ),
inference(resolution,[status(thm)],[f368,f128]) ).
fof(f1251,plain,
! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(e_4,X0)
| ~ spl0_67 ),
inference(resolution,[status(thm)],[f368,f126]) ).
fof(f1252,plain,
! [X0] :
( ~ product(e_1,e_4,X0)
| equalish(e_2,X0)
| ~ spl0_67 ),
inference(resolution,[status(thm)],[f368,f124]) ).
fof(f1253,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| product(X0,e_1,e_4)
| ~ spl0_67 ),
inference(resolution,[status(thm)],[f368,f131]) ).
fof(f1254,plain,
( equalish(e_1,e_3)
| ~ spl0_55
| ~ spl0_67 ),
inference(resolution,[status(thm)],[f328,f1250]) ).
fof(f1255,plain,
( $false
| ~ spl0_55
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f1254,f93]) ).
fof(f1256,plain,
( ~ spl0_55
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f1255]) ).
fof(f1260,plain,
! [X0] :
( ~ product(e_5,e_1,X0)
| product(X0,e_1,e_4)
| ~ spl0_70 ),
inference(resolution,[status(thm)],[f377,f131]) ).
fof(f1261,plain,
! [X0] :
( ~ product(X0,e_4,e_1)
| equalish(e_3,X0)
| ~ spl0_54 ),
inference(resolution,[status(thm)],[f325,f128]) ).
fof(f1262,plain,
! [X0] :
( ~ product(e_3,X0,e_1)
| equalish(e_4,X0)
| ~ spl0_54 ),
inference(resolution,[status(thm)],[f325,f126]) ).
fof(f1269,plain,
! [X0] :
( ~ product(X0,e_1,e_6)
| equalish(e_4,X0)
| ~ spl0_95 ),
inference(resolution,[status(thm)],[f461,f128]) ).
fof(f1271,plain,
! [X0] :
( ~ product(e_4,e_1,X0)
| equalish(e_6,X0)
| ~ spl0_95 ),
inference(resolution,[status(thm)],[f461,f124]) ).
fof(f1272,plain,
! [X0] :
( ~ product(e_6,e_4,X0)
| product(X0,e_4,e_1)
| ~ spl0_95 ),
inference(resolution,[status(thm)],[f461,f131]) ).
fof(f1276,plain,
( equalish(e_6,e_5)
| ~ spl0_94
| ~ spl0_95 ),
inference(resolution,[status(thm)],[f458,f1271]) ).
fof(f1277,plain,
( $false
| ~ spl0_94
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f1276,f121]) ).
fof(f1278,plain,
( ~ spl0_94
| ~ spl0_95 ),
inference(contradiction_clause,[status(thm)],[f1277]) ).
fof(f1282,plain,
( equalish(e_2,e_4)
| ~ spl0_92
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f452,f1006]) ).
fof(f1283,plain,
( $false
| ~ spl0_92
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f1282,f99]) ).
fof(f1284,plain,
( ~ spl0_92
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f1283]) ).
fof(f1285,plain,
( product(e_2,e_1,e_2)
| ~ spl0_91
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f449,f886]) ).
fof(f1286,plain,
( spl0_19
| ~ spl0_91
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1285,f206,f448,f171]) ).
fof(f1287,plain,
( equalish(e_3,e_4)
| ~ spl0_91
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f449,f1060]) ).
fof(f1288,plain,
( $false
| ~ spl0_91
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1287,f104]) ).
fof(f1289,plain,
( ~ spl0_91
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1288]) ).
fof(f1291,plain,
( equalish(e_1,e_4)
| ~ spl0_90 ),
inference(resolution,[status(thm)],[f446,f138]) ).
fof(f1292,plain,
( $false
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[status(thm)],[f1291,f94]) ).
fof(f1293,plain,
~ spl0_90,
inference(contradiction_clause,[status(thm)],[f1292]) ).
fof(f1295,plain,
! [X0] :
( ~ product(X0,e_1,e_3)
| equalish(e_4,X0)
| ~ spl0_92 ),
inference(resolution,[status(thm)],[f452,f128]) ).
fof(f1296,plain,
! [X0] :
( ~ product(e_4,X0,e_3)
| equalish(e_1,X0)
| ~ spl0_92 ),
inference(resolution,[status(thm)],[f452,f126]) ).
fof(f1297,plain,
! [X0] :
( ~ product(e_4,e_1,X0)
| equalish(e_3,X0)
| ~ spl0_92 ),
inference(resolution,[status(thm)],[f452,f124]) ).
fof(f1298,plain,
! [X0] :
( ~ product(e_3,e_4,X0)
| product(X0,e_4,e_1)
| ~ spl0_92 ),
inference(resolution,[status(thm)],[f452,f131]) ).
fof(f1299,plain,
( product(e_1,e_4,e_1)
| ~ spl0_92
| ~ spl0_54 ),
inference(resolution,[status(thm)],[f1298,f325]) ).
fof(f1300,plain,
( spl0_66
| ~ spl0_92
| ~ spl0_54 ),
inference(split_clause,[status(thm)],[f1299,f364,f451,f324]) ).
fof(f1303,plain,
( equalish(e_4,e_1)
| ~ spl0_93 ),
inference(resolution,[status(thm)],[f455,f136]) ).
fof(f1304,plain,
( $false
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[status(thm)],[f1303,f107]) ).
fof(f1305,plain,
~ spl0_93,
inference(contradiction_clause,[status(thm)],[f1304]) ).
fof(f1307,plain,
! [X0] :
( ~ product(X0,e_1,e_5)
| equalish(e_4,X0)
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f458,f128]) ).
fof(f1308,plain,
! [X0] :
( ~ product(e_4,X0,e_5)
| equalish(e_1,X0)
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f458,f126]) ).
fof(f1310,plain,
! [X0] :
( ~ product(e_5,e_4,X0)
| product(X0,e_4,e_1)
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f458,f131]) ).
fof(f1311,plain,
( equalish(e_3,e_4)
| ~ spl0_89
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f441,f1070]) ).
fof(f1312,plain,
( $false
| ~ spl0_89
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1311,f104]) ).
fof(f1313,plain,
( ~ spl0_89
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f1312]) ).
fof(f1314,plain,
! [X0] :
( ~ product(X0,e_2,e_6)
| equalish(e_4,X0)
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f441,f128]) ).
fof(f1315,plain,
! [X0] :
( ~ product(e_4,X0,e_6)
| equalish(e_2,X0)
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f441,f126]) ).
fof(f1316,plain,
! [X0] :
( ~ product(e_4,e_2,X0)
| equalish(e_6,X0)
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f441,f124]) ).
fof(f1317,plain,
! [X0] :
( ~ product(e_6,e_4,X0)
| product(X0,e_4,e_2)
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f441,f131]) ).
fof(f1318,plain,
( product(e_1,e_2,e_1)
| ~ spl0_42
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f285,f1009]) ).
fof(f1319,plain,
( spl0_6
| ~ spl0_42
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1318,f162,f284,f209]) ).
fof(f1320,plain,
! [X0] :
( ~ product(X0,e_2,e_1)
| equalish(e_3,X0)
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f285,f128]) ).
fof(f1323,plain,
! [X0] :
( ~ product(e_1,e_3,X0)
| product(X0,e_3,e_2)
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f285,f131]) ).
fof(f1324,plain,
! [X0] :
( ~ product(X0,e_4,e_6)
| equalish(e_3,X0)
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f340,f128]) ).
fof(f1325,plain,
! [X0] :
( ~ product(e_3,X0,e_6)
| equalish(e_4,X0)
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f340,f126]) ).
fof(f1327,plain,
! [X0] :
( ~ product(e_6,e_3,X0)
| product(X0,e_3,e_4)
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f340,f131]) ).
fof(f1328,plain,
! [X0] :
( ~ product(X0,e_2,e_5)
| equalish(e_4,X0)
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f438,f128]) ).
fof(f1329,plain,
! [X0] :
( ~ product(e_4,X0,e_5)
| equalish(e_2,X0)
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f438,f126]) ).
fof(f1331,plain,
! [X0] :
( ~ product(e_5,e_4,X0)
| product(X0,e_4,e_2)
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f438,f131]) ).
fof(f1336,plain,
( equalish(e_4,e_2)
| ~ spl0_87 ),
inference(resolution,[status(thm)],[f435,f136]) ).
fof(f1337,plain,
( $false
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f1336,f108]) ).
fof(f1338,plain,
~ spl0_87,
inference(contradiction_clause,[status(thm)],[f1337]) ).
fof(f1341,plain,
( equalish(e_2,e_4)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f193,f134]) ).
fof(f1342,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1341,f99]) ).
fof(f1343,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f1342]) ).
fof(f1346,plain,
( equalish(e_2,e_3)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f190,f134]) ).
fof(f1347,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f1346,f98]) ).
fof(f1348,plain,
~ spl0_14,
inference(contradiction_clause,[status(thm)],[f1347]) ).
fof(f1349,plain,
( equalish(e_1,e_2)
| ~ spl0_94
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f1308,f438]) ).
fof(f1350,plain,
( $false
| ~ spl0_94
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f1349,f92]) ).
fof(f1351,plain,
( ~ spl0_94
| ~ spl0_88 ),
inference(contradiction_clause,[status(thm)],[f1350]) ).
fof(f1355,plain,
( equalish(e_1,e_4)
| ~ spl0_11
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f873,f441]) ).
fof(f1356,plain,
( $false
| ~ spl0_11
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f1355,f94]) ).
fof(f1357,plain,
( ~ spl0_11
| ~ spl0_89 ),
inference(contradiction_clause,[status(thm)],[f1356]) ).
fof(f1358,plain,
( product(e_3,e_2,e_3)
| ~ spl0_86
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f432,f1004]) ).
fof(f1359,plain,
( spl0_44
| ~ spl0_86
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f1358,f290,f431,f232]) ).
fof(f1360,plain,
! [X0] :
( ~ product(X0,e_2,e_3)
| equalish(e_4,X0)
| ~ spl0_86 ),
inference(resolution,[status(thm)],[f432,f128]) ).
fof(f1363,plain,
! [X0] :
( ~ product(e_3,e_4,X0)
| product(X0,e_4,e_2)
| ~ spl0_86 ),
inference(resolution,[status(thm)],[f432,f131]) ).
fof(f1370,plain,
( equalish(e_2,e_4)
| ~ spl0_85 ),
inference(resolution,[status(thm)],[f429,f138]) ).
fof(f1371,plain,
( $false
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f1370,f99]) ).
fof(f1372,plain,
~ spl0_85,
inference(contradiction_clause,[status(thm)],[f1371]) ).
fof(f1373,plain,
! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(e_2,X0)
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f224,f128]) ).
fof(f1376,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| product(X0,e_2,e_3)
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f224,f131]) ).
fof(f1377,plain,
( equalish(e_6,e_1)
| ~ spl0_84
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f426,f1316]) ).
fof(f1378,plain,
( $false
| ~ spl0_84
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f1377,f117]) ).
fof(f1379,plain,
( ~ spl0_84
| ~ spl0_89 ),
inference(contradiction_clause,[status(thm)],[f1378]) ).
fof(f1380,plain,
( product(e_4,e_2,e_1)
| ~ spl0_45
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f294,f1009]) ).
fof(f1381,plain,
( spl0_84
| ~ spl0_45
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1380,f425,f293,f209]) ).
fof(f1382,plain,
! [X0] :
( ~ product(X0,e_2,e_5)
| equalish(e_3,X0)
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f297,f128]) ).
fof(f1383,plain,
! [X0] :
( ~ product(e_3,X0,e_5)
| equalish(e_2,X0)
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f297,f126]) ).
fof(f1384,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| equalish(e_5,X0)
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f297,f124]) ).
fof(f1385,plain,
! [X0] :
( ~ product(e_5,e_3,X0)
| product(X0,e_3,e_2)
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f297,f131]) ).
fof(f1386,plain,
( equalish(e_2,e_3)
| ~ spl0_83
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f421,f1315]) ).
fof(f1387,plain,
( $false
| ~ spl0_83
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f1386,f98]) ).
fof(f1388,plain,
( ~ spl0_83
| ~ spl0_89 ),
inference(contradiction_clause,[status(thm)],[f1387]) ).
fof(f1389,plain,
( equalish(e_1,e_3)
| ~ spl0_82
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f418,f1308]) ).
fof(f1390,plain,
( $false
| ~ spl0_82
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f1389,f93]) ).
fof(f1391,plain,
( ~ spl0_82
| ~ spl0_94 ),
inference(contradiction_clause,[status(thm)],[f1390]) ).
fof(f1396,plain,
( equalish(e_4,e_3)
| ~ spl0_81 ),
inference(resolution,[status(thm)],[f415,f136]) ).
fof(f1397,plain,
( $false
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[status(thm)],[f1396,f109]) ).
fof(f1398,plain,
~ spl0_81,
inference(contradiction_clause,[status(thm)],[f1397]) ).
fof(f1399,plain,
( equalish(e_3,e_4)
| ~ spl0_80 ),
inference(resolution,[status(thm)],[f412,f138]) ).
fof(f1400,plain,
( $false
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[status(thm)],[f1399,f104]) ).
fof(f1401,plain,
~ spl0_80,
inference(contradiction_clause,[status(thm)],[f1400]) ).
fof(f1402,plain,
( equalish(e_1,e_4)
| ~ spl0_79
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f409,f980]) ).
fof(f1403,plain,
( $false
| ~ spl0_79
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f1402,f94]) ).
fof(f1404,plain,
( ~ spl0_79
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f1403]) ).
fof(f1406,plain,
! [X0] :
( ~ product(e_4,X0,e_2)
| equalish(e_3,X0)
| ~ spl0_79 ),
inference(resolution,[status(thm)],[f409,f126]) ).
fof(f1407,plain,
! [X0] :
( ~ product(e_4,e_3,X0)
| equalish(e_2,X0)
| ~ spl0_79 ),
inference(resolution,[status(thm)],[f409,f124]) ).
fof(f1408,plain,
! [X0] :
( ~ product(e_2,e_4,X0)
| product(X0,e_4,e_3)
| ~ spl0_79 ),
inference(resolution,[status(thm)],[f409,f131]) ).
fof(f1409,plain,
! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(e_4,X0)
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f406,f128]) ).
fof(f1410,plain,
! [X0] :
( ~ product(e_4,X0,e_1)
| equalish(e_3,X0)
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f406,f126]) ).
fof(f1412,plain,
! [X0] :
( ~ product(e_1,e_4,X0)
| product(X0,e_4,e_3)
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f406,f131]) ).
fof(f1413,plain,
( equalish(e_2,e_4)
| ~ spl0_24
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f1373,f406]) ).
fof(f1414,plain,
( $false
| ~ spl0_24
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f1413,f99]) ).
fof(f1415,plain,
( ~ spl0_24
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f1414]) ).
fof(f1418,plain,
( equalish(e_2,e_1)
| ~ spl0_79
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f1407,f406]) ).
fof(f1419,plain,
( $false
| ~ spl0_79
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f1418,f97]) ).
fof(f1420,plain,
( ~ spl0_79
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f1419]) ).
fof(f1427,plain,
( equalish(e_1,e_4)
| ~ spl0_76
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f398,f1308]) ).
fof(f1428,plain,
( $false
| ~ spl0_76
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f1427,f94]) ).
fof(f1429,plain,
( ~ spl0_76
| ~ spl0_94 ),
inference(contradiction_clause,[status(thm)],[f1428]) ).
fof(f1435,plain,
( equalish(e_4,e_3)
| ~ spl0_74 ),
inference(resolution,[status(thm)],[f392,f134]) ).
fof(f1436,plain,
( $false
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f1435,f109]) ).
fof(f1437,plain,
~ spl0_74,
inference(contradiction_clause,[status(thm)],[f1436]) ).
fof(f1439,plain,
( equalish(e_3,e_4)
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f331,f136]) ).
fof(f1440,plain,
( $false
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f1439,f104]) ).
fof(f1441,plain,
~ spl0_56,
inference(contradiction_clause,[status(thm)],[f1440]) ).
fof(f1444,plain,
( equalish(e_4,e_2)
| ~ spl0_73 ),
inference(resolution,[status(thm)],[f389,f134]) ).
fof(f1445,plain,
( $false
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f1444,f108]) ).
fof(f1446,plain,
~ spl0_73,
inference(contradiction_clause,[status(thm)],[f1445]) ).
fof(f1452,plain,
( equalish(e_4,e_1)
| ~ spl0_72 ),
inference(resolution,[status(thm)],[f386,f134]) ).
fof(f1453,plain,
( $false
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f1452,f107]) ).
fof(f1454,plain,
~ spl0_72,
inference(contradiction_clause,[status(thm)],[f1453]) ).
fof(f1456,plain,
( equalish(e_4,e_5)
| ~ spl0_119
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f541,f1142]) ).
fof(f1457,plain,
( $false
| ~ spl0_119
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f1456,f110]) ).
fof(f1458,plain,
( ~ spl0_119
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f1457]) ).
fof(f1459,plain,
! [X0] :
( ~ product(X0,e_5,e_6)
| equalish(e_1,X0)
| ~ spl0_119 ),
inference(resolution,[status(thm)],[f541,f128]) ).
fof(f1460,plain,
! [X0] :
( ~ product(e_1,X0,e_6)
| equalish(e_5,X0)
| ~ spl0_119 ),
inference(resolution,[status(thm)],[f541,f126]) ).
fof(f1461,plain,
! [X0] :
( ~ product(e_1,e_5,X0)
| equalish(e_6,X0)
| ~ spl0_119 ),
inference(resolution,[status(thm)],[f541,f124]) ).
fof(f1462,plain,
! [X0] :
( ~ product(e_6,e_1,X0)
| product(X0,e_1,e_5)
| ~ spl0_119 ),
inference(resolution,[status(thm)],[f541,f131]) ).
fof(f1469,plain,
( equalish(e_5,e_1)
| ~ spl0_118 ),
inference(resolution,[status(thm)],[f538,f138]) ).
fof(f1470,plain,
( $false
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[status(thm)],[f1469,f112]) ).
fof(f1471,plain,
~ spl0_118,
inference(contradiction_clause,[status(thm)],[f1470]) ).
fof(f1472,plain,
( equalish(e_3,e_5)
| ~ spl0_117
| ~ spl0_33 ),
inference(resolution,[status(thm)],[f535,f971]) ).
fof(f1473,plain,
( $false
| ~ spl0_117
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f1472,f105]) ).
fof(f1474,plain,
( ~ spl0_117
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f1473]) ).
fof(f1475,plain,
! [X0] :
( ~ product(X0,e_5,e_4)
| equalish(e_1,X0)
| ~ spl0_117 ),
inference(resolution,[status(thm)],[f535,f128]) ).
fof(f1477,plain,
! [X0] :
( ~ product(e_1,e_5,X0)
| equalish(e_4,X0)
| ~ spl0_117 ),
inference(resolution,[status(thm)],[f535,f124]) ).
fof(f1478,plain,
! [X0] :
( ~ product(e_4,e_1,X0)
| product(X0,e_1,e_5)
| ~ spl0_117 ),
inference(resolution,[status(thm)],[f535,f131]) ).
fof(f1479,plain,
! [X0] :
( ~ product(X0,e_3,e_5)
| equalish(e_1,X0)
| ~ spl0_34 ),
inference(resolution,[status(thm)],[f256,f128]) ).
fof(f1480,plain,
! [X0] :
( ~ product(e_1,X0,e_5)
| equalish(e_3,X0)
| ~ spl0_34 ),
inference(resolution,[status(thm)],[f256,f126]) ).
fof(f1482,plain,
! [X0] :
( ~ product(e_5,e_1,X0)
| product(X0,e_1,e_3)
| ~ spl0_34 ),
inference(resolution,[status(thm)],[f256,f131]) ).
fof(f1486,plain,
( equalish(e_4,e_3)
| ~ spl0_116
| ~ spl0_117 ),
inference(resolution,[status(thm)],[f532,f1477]) ).
fof(f1487,plain,
( $false
| ~ spl0_116
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[status(thm)],[f1486,f109]) ).
fof(f1488,plain,
( ~ spl0_116
| ~ spl0_117 ),
inference(contradiction_clause,[status(thm)],[f1487]) ).
fof(f1489,plain,
( equalish(e_2,e_5)
| ~ spl0_116
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f532,f945]) ).
fof(f1490,plain,
( $false
| ~ spl0_116
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f1489,f100]) ).
fof(f1491,plain,
( ~ spl0_116
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f1490]) ).
fof(f1492,plain,
! [X0] :
( ~ product(X0,e_5,e_2)
| equalish(e_1,X0)
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f529,f128]) ).
fof(f1493,plain,
! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(e_5,X0)
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f529,f126]) ).
fof(f1495,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| product(X0,e_1,e_5)
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f529,f131]) ).
fof(f1497,plain,
( equalish(e_1,e_5)
| ~ spl0_114 ),
inference(resolution,[status(thm)],[f526,f136]) ).
fof(f1498,plain,
( $false
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[status(thm)],[f1497,f95]) ).
fof(f1499,plain,
~ spl0_114,
inference(contradiction_clause,[status(thm)],[f1498]) ).
fof(f1503,plain,
( equalish(e_6,e_2)
| ~ spl0_119
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f1461,f529]) ).
fof(f1504,plain,
( $false
| ~ spl0_119
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f1503,f118]) ).
fof(f1505,plain,
( ~ spl0_119
| ~ spl0_115 ),
inference(contradiction_clause,[status(thm)],[f1504]) ).
fof(f1506,plain,
( equalish(e_4,e_2)
| ~ spl0_117
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f1477,f529]) ).
fof(f1507,plain,
( $false
| ~ spl0_117
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f1506,f108]) ).
fof(f1508,plain,
( ~ spl0_117
| ~ spl0_115 ),
inference(contradiction_clause,[status(thm)],[f1507]) ).
fof(f1510,plain,
! [X0] :
( ~ product(e_2,X0,e_6)
| equalish(e_5,X0)
| ~ spl0_113 ),
inference(resolution,[status(thm)],[f521,f126]) ).
fof(f1511,plain,
! [X0] :
( ~ product(e_2,e_5,X0)
| equalish(e_6,X0)
| ~ spl0_113 ),
inference(resolution,[status(thm)],[f521,f124]) ).
fof(f1512,plain,
! [X0] :
( ~ product(e_6,e_2,X0)
| product(X0,e_2,e_5)
| ~ spl0_113 ),
inference(resolution,[status(thm)],[f521,f131]) ).
fof(f1519,plain,
( equalish(e_6,e_4)
| ~ spl0_111
| ~ spl0_113 ),
inference(resolution,[status(thm)],[f515,f1511]) ).
fof(f1520,plain,
( $false
| ~ spl0_111
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[status(thm)],[f1519,f120]) ).
fof(f1521,plain,
( ~ spl0_111
| ~ spl0_113 ),
inference(contradiction_clause,[status(thm)],[f1520]) ).
fof(f1522,plain,
( equalish(e_1,e_2)
| ~ spl0_111
| ~ spl0_117 ),
inference(resolution,[status(thm)],[f515,f1475]) ).
fof(f1523,plain,
( $false
| ~ spl0_111
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[status(thm)],[f1522,f92]) ).
fof(f1524,plain,
( ~ spl0_111
| ~ spl0_117 ),
inference(contradiction_clause,[status(thm)],[f1523]) ).
fof(f1525,plain,
! [X0] :
( ~ product(X0,e_4,e_2)
| equalish(e_3,X0)
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f328,f128]) ).
fof(f1526,plain,
! [X0] :
( ~ product(e_3,X0,e_2)
| equalish(e_4,X0)
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f328,f126]) ).
fof(f1528,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| product(X0,e_3,e_4)
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f328,f131]) ).
fof(f1529,plain,
( equalish(e_1,e_5)
| ~ spl0_110
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f512,f1007]) ).
fof(f1530,plain,
( $false
| ~ spl0_110
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f1529,f95]) ).
fof(f1531,plain,
( ~ spl0_110
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f1530]) ).
fof(f1532,plain,
! [X0] :
( ~ product(X0,e_5,e_3)
| equalish(e_2,X0)
| ~ spl0_110 ),
inference(resolution,[status(thm)],[f512,f128]) ).
fof(f1534,plain,
! [X0] :
( ~ product(e_2,e_5,X0)
| equalish(e_3,X0)
| ~ spl0_110 ),
inference(resolution,[status(thm)],[f512,f124]) ).
fof(f1535,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| product(X0,e_2,e_5)
| ~ spl0_110 ),
inference(resolution,[status(thm)],[f512,f131]) ).
fof(f1543,plain,
( equalish(e_2,e_5)
| ~ spl0_109 ),
inference(resolution,[status(thm)],[f509,f136]) ).
fof(f1544,plain,
( $false
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[status(thm)],[f1543,f100]) ).
fof(f1545,plain,
~ spl0_109,
inference(contradiction_clause,[status(thm)],[f1544]) ).
fof(f1546,plain,
! [X0] :
( ~ product(X0,e_5,e_1)
| equalish(e_2,X0)
| ~ spl0_108 ),
inference(resolution,[status(thm)],[f506,f128]) ).
fof(f1547,plain,
! [X0] :
( ~ product(e_2,X0,e_1)
| equalish(e_5,X0)
| ~ spl0_108 ),
inference(resolution,[status(thm)],[f506,f126]) ).
fof(f1549,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| product(X0,e_2,e_5)
| ~ spl0_108 ),
inference(resolution,[status(thm)],[f506,f131]) ).
fof(f1550,plain,
( equalish(e_1,e_3)
| ~ spl0_107
| ~ spl0_119 ),
inference(resolution,[status(thm)],[f501,f1459]) ).
fof(f1551,plain,
( $false
| ~ spl0_107
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[status(thm)],[f1550,f93]) ).
fof(f1552,plain,
( ~ spl0_107
| ~ spl0_119 ),
inference(contradiction_clause,[status(thm)],[f1551]) ).
fof(f1553,plain,
! [X0] :
( ~ product(X0,e_5,e_6)
| equalish(e_3,X0)
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f501,f128]) ).
fof(f1554,plain,
! [X0] :
( ~ product(e_3,X0,e_6)
| equalish(e_5,X0)
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f501,f126]) ).
fof(f1555,plain,
! [X0] :
( ~ product(e_3,e_5,X0)
| equalish(e_6,X0)
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f501,f124]) ).
fof(f1556,plain,
! [X0] :
( ~ product(e_6,e_3,X0)
| product(X0,e_3,e_5)
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f501,f131]) ).
fof(f1566,plain,
( equalish(e_6,e_4)
| ~ spl0_105
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f495,f1555]) ).
fof(f1567,plain,
( $false
| ~ spl0_105
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[status(thm)],[f1566,f120]) ).
fof(f1568,plain,
( ~ spl0_105
| ~ spl0_107 ),
inference(contradiction_clause,[status(thm)],[f1567]) ).
fof(f1569,plain,
( equalish(e_1,e_3)
| ~ spl0_105
| ~ spl0_117 ),
inference(resolution,[status(thm)],[f495,f1475]) ).
fof(f1570,plain,
( $false
| ~ spl0_105
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[status(thm)],[f1569,f93]) ).
fof(f1571,plain,
( ~ spl0_105
| ~ spl0_117 ),
inference(contradiction_clause,[status(thm)],[f1570]) ).
fof(f1575,plain,
( equalish(e_6,e_1)
| ~ spl0_113
| ~ spl0_108 ),
inference(resolution,[status(thm)],[f1511,f506]) ).
fof(f1576,plain,
( $false
| ~ spl0_113
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f1575,f117]) ).
fof(f1577,plain,
( ~ spl0_113
| ~ spl0_108 ),
inference(contradiction_clause,[status(thm)],[f1576]) ).
fof(f1578,plain,
( equalish(e_3,e_1)
| ~ spl0_110
| ~ spl0_108 ),
inference(resolution,[status(thm)],[f1534,f506]) ).
fof(f1579,plain,
( $false
| ~ spl0_110
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f1578,f102]) ).
fof(f1580,plain,
( ~ spl0_110
| ~ spl0_108 ),
inference(contradiction_clause,[status(thm)],[f1579]) ).
fof(f1585,plain,
( equalish(e_3,e_5)
| ~ spl0_104 ),
inference(resolution,[status(thm)],[f492,f136]) ).
fof(f1586,plain,
( $false
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f1585,f105]) ).
fof(f1587,plain,
~ spl0_104,
inference(contradiction_clause,[status(thm)],[f1586]) ).
fof(f1589,plain,
! [X0] :
( ~ product(e_2,X0,e_4)
| equalish(e_5,X0)
| ~ spl0_111 ),
inference(resolution,[status(thm)],[f515,f126]) ).
fof(f1591,plain,
! [X0] :
( ~ product(e_4,e_2,X0)
| product(X0,e_2,e_5)
| ~ spl0_111 ),
inference(resolution,[status(thm)],[f515,f131]) ).
fof(f1592,plain,
( equalish(e_4,e_5)
| ~ spl0_103
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f489,f1526]) ).
fof(f1593,plain,
( $false
| ~ spl0_103
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f1592,f110]) ).
fof(f1594,plain,
( ~ spl0_103
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f1593]) ).
fof(f1595,plain,
( equalish(e_1,e_5)
| ~ spl0_103
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f489,f1061]) ).
fof(f1596,plain,
( $false
| ~ spl0_103
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1595,f95]) ).
fof(f1597,plain,
( ~ spl0_103
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1596]) ).
fof(f1598,plain,
! [X0] :
( ~ product(X0,e_5,e_1)
| equalish(e_3,X0)
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f486,f128]) ).
fof(f1599,plain,
! [X0] :
( ~ product(e_3,X0,e_1)
| equalish(e_5,X0)
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f486,f126]) ).
fof(f1601,plain,
! [X0] :
( ~ product(e_1,e_3,X0)
| product(X0,e_3,e_5)
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f486,f131]) ).
fof(f1602,plain,
( equalish(e_2,e_5)
| ~ spl0_101
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f481,f1315]) ).
fof(f1603,plain,
( $false
| ~ spl0_101
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f1602,f100]) ).
fof(f1604,plain,
( ~ spl0_101
| ~ spl0_89 ),
inference(contradiction_clause,[status(thm)],[f1603]) ).
fof(f1605,plain,
( equalish(e_6,e_1)
| ~ spl0_107
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f1555,f486]) ).
fof(f1606,plain,
( $false
| ~ spl0_107
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f1605,f117]) ).
fof(f1607,plain,
( ~ spl0_107
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f1606]) ).
fof(f1608,plain,
! [X0] :
( ~ product(X0,e_5,e_4)
| equalish(e_3,X0)
| ~ spl0_105 ),
inference(resolution,[status(thm)],[f495,f128]) ).
fof(f1609,plain,
! [X0] :
( ~ product(e_3,X0,e_4)
| equalish(e_5,X0)
| ~ spl0_105 ),
inference(resolution,[status(thm)],[f495,f126]) ).
fof(f1610,plain,
! [X0] :
( ~ product(e_3,e_5,X0)
| equalish(e_4,X0)
| ~ spl0_105 ),
inference(resolution,[status(thm)],[f495,f124]) ).
fof(f1615,plain,
( equalish(e_4,e_1)
| ~ spl0_105
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f1610,f486]) ).
fof(f1616,plain,
( $false
| ~ spl0_105
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f1615,f107]) ).
fof(f1617,plain,
( ~ spl0_105
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f1616]) ).
fof(f1618,plain,
! [X0] :
( ~ product(X0,e_5,e_2)
| equalish(e_3,X0)
| ~ spl0_103 ),
inference(resolution,[status(thm)],[f489,f128]) ).
fof(f1621,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| product(X0,e_3,e_5)
| ~ spl0_103 ),
inference(resolution,[status(thm)],[f489,f131]) ).
fof(f1629,plain,
( equalish(e_4,e_5)
| ~ spl0_99 ),
inference(resolution,[status(thm)],[f475,f136]) ).
fof(f1630,plain,
( $false
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f1629,f110]) ).
fof(f1631,plain,
~ spl0_99,
inference(contradiction_clause,[status(thm)],[f1630]) ).
fof(f1632,plain,
! [X0] :
( ~ product(X0,e_5,e_3)
| equalish(e_4,X0)
| ~ spl0_98 ),
inference(resolution,[status(thm)],[f472,f128]) ).
fof(f1633,plain,
! [X0] :
( ~ product(e_4,X0,e_3)
| equalish(e_5,X0)
| ~ spl0_98 ),
inference(resolution,[status(thm)],[f472,f126]) ).
fof(f1634,plain,
! [X0] :
( ~ product(e_4,e_5,X0)
| equalish(e_3,X0)
| ~ spl0_98 ),
inference(resolution,[status(thm)],[f472,f124]) ).
fof(f1635,plain,
! [X0] :
( ~ product(e_3,e_4,X0)
| product(X0,e_4,e_5)
| ~ spl0_98 ),
inference(resolution,[status(thm)],[f472,f131]) ).
fof(f1639,plain,
( equalish(e_3,e_2)
| ~ spl0_97
| ~ spl0_98 ),
inference(resolution,[status(thm)],[f469,f1634]) ).
fof(f1640,plain,
( $false
| ~ spl0_97
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[status(thm)],[f1639,f103]) ).
fof(f1641,plain,
( ~ spl0_97
| ~ spl0_98 ),
inference(contradiction_clause,[status(thm)],[f1640]) ).
fof(f1642,plain,
( equalish(e_2,e_4)
| ~ spl0_96
| ~ spl0_108 ),
inference(resolution,[status(thm)],[f466,f1546]) ).
fof(f1643,plain,
( $false
| ~ spl0_96
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f1642,f99]) ).
fof(f1644,plain,
( ~ spl0_96
| ~ spl0_108 ),
inference(contradiction_clause,[status(thm)],[f1643]) ).
fof(f1645,plain,
! [X0] :
( ~ product(X0,e_5,e_1)
| equalish(e_4,X0)
| ~ spl0_96 ),
inference(resolution,[status(thm)],[f466,f128]) ).
fof(f1646,plain,
! [X0] :
( ~ product(e_4,X0,e_1)
| equalish(e_5,X0)
| ~ spl0_96 ),
inference(resolution,[status(thm)],[f466,f126]) ).
fof(f1648,plain,
! [X0] :
( ~ product(e_1,e_4,X0)
| product(X0,e_4,e_5)
| ~ spl0_96 ),
inference(resolution,[status(thm)],[f466,f131]) ).
fof(f1651,plain,
! [X0] :
( ~ product(e_5,X0,e_6)
| equalish(e_1,X0)
| ~ spl0_149 ),
inference(resolution,[status(thm)],[f642,f126]) ).
fof(f1653,plain,
! [X0] :
( ~ product(e_6,e_5,X0)
| product(X0,e_5,e_1)
| ~ spl0_149 ),
inference(resolution,[status(thm)],[f642,f131]) ).
fof(f1663,plain,
( equalish(e_1,e_3)
| ~ spl0_103
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f489,f1492]) ).
fof(f1664,plain,
( $false
| ~ spl0_103
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f1663,f93]) ).
fof(f1665,plain,
( ~ spl0_103
| ~ spl0_115 ),
inference(contradiction_clause,[status(thm)],[f1664]) ).
fof(f1666,plain,
( equalish(e_3,e_5)
| ~ spl0_97
| ~ spl0_79 ),
inference(resolution,[status(thm)],[f469,f1406]) ).
fof(f1667,plain,
( $false
| ~ spl0_97
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f1666,f105]) ).
fof(f1668,plain,
( ~ spl0_97
| ~ spl0_79 ),
inference(contradiction_clause,[status(thm)],[f1667]) ).
fof(f1669,plain,
! [X0] :
( ~ product(X0,e_5,e_2)
| equalish(e_4,X0)
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f469,f128]) ).
fof(f1672,plain,
! [X0] :
( ~ product(e_2,e_4,X0)
| product(X0,e_4,e_5)
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f469,f131]) ).
fof(f1673,plain,
( product(e_4,e_1,e_4)
| ~ spl0_147
| ~ spl0_70 ),
inference(resolution,[status(thm)],[f636,f1260]) ).
fof(f1674,plain,
( spl0_93
| ~ spl0_147
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f1673,f454,f635,f376]) ).
fof(f1676,plain,
! [X0] :
( ~ product(X0,e_1,e_4)
| equalish(e_5,X0)
| ~ spl0_147 ),
inference(resolution,[status(thm)],[f636,f128]) ).
fof(f1677,plain,
! [X0] :
( ~ product(e_5,X0,e_4)
| equalish(e_1,X0)
| ~ spl0_147 ),
inference(resolution,[status(thm)],[f636,f126]) ).
fof(f1678,plain,
! [X0] :
( ~ product(e_5,e_1,X0)
| equalish(e_4,X0)
| ~ spl0_147 ),
inference(resolution,[status(thm)],[f636,f124]) ).
fof(f1679,plain,
! [X0] :
( ~ product(e_4,e_5,X0)
| product(X0,e_5,e_1)
| ~ spl0_147 ),
inference(resolution,[status(thm)],[f636,f131]) ).
fof(f1680,plain,
( equalish(e_2,e_5)
| ~ spl0_146
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f633,f1006]) ).
fof(f1681,plain,
( $false
| ~ spl0_146
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f1680,f100]) ).
fof(f1682,plain,
( ~ spl0_146
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f1681]) ).
fof(f1684,plain,
! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(e_5,X0)
| ~ spl0_145 ),
inference(resolution,[status(thm)],[f630,f128]) ).
fof(f1685,plain,
! [X0] :
( ~ product(e_5,X0,e_2)
| equalish(e_1,X0)
| ~ spl0_145 ),
inference(resolution,[status(thm)],[f630,f126]) ).
fof(f1687,plain,
! [X0] :
( ~ product(e_2,e_5,X0)
| product(X0,e_5,e_1)
| ~ spl0_145 ),
inference(resolution,[status(thm)],[f630,f131]) ).
fof(f1694,plain,
( equalish(e_4,e_5)
| ~ spl0_143
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f622,f1314]) ).
fof(f1695,plain,
( $false
| ~ spl0_143
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f1694,f110]) ).
fof(f1696,plain,
( ~ spl0_143
| ~ spl0_89 ),
inference(contradiction_clause,[status(thm)],[f1695]) ).
fof(f1700,plain,
( product(e_4,e_2,e_1)
| ~ spl0_141
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f616,f1225]) ).
fof(f1701,plain,
( spl0_84
| ~ spl0_141
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f1700,f425,f615,f215]) ).
fof(f1702,plain,
( product(e_4,e_2,e_3)
| ~ spl0_141
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f616,f997]) ).
fof(f1703,plain,
( spl0_86
| ~ spl0_141
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f1702,f431,f615,f235]) ).
fof(f1704,plain,
! [X0] :
( ~ product(X0,e_2,e_4)
| equalish(e_5,X0)
| ~ spl0_141 ),
inference(resolution,[status(thm)],[f616,f128]) ).
fof(f1707,plain,
! [X0] :
( ~ product(e_4,e_5,X0)
| product(X0,e_5,e_2)
| ~ spl0_141 ),
inference(resolution,[status(thm)],[f616,f131]) ).
fof(f1709,plain,
! [X0] :
( ~ product(X0,e_2,e_1)
| equalish(e_4,X0)
| ~ spl0_84 ),
inference(resolution,[status(thm)],[f426,f128]) ).
fof(f1710,plain,
! [X0] :
( ~ product(e_4,X0,e_1)
| equalish(e_2,X0)
| ~ spl0_84 ),
inference(resolution,[status(thm)],[f426,f126]) ).
fof(f1712,plain,
! [X0] :
( ~ product(e_1,e_4,X0)
| product(X0,e_4,e_2)
| ~ spl0_84 ),
inference(resolution,[status(thm)],[f426,f131]) ).
fof(f1713,plain,
! [X0] :
( ~ product(X0,e_3,e_6)
| equalish(e_4,X0)
| ~ spl0_83 ),
inference(resolution,[status(thm)],[f421,f128]) ).
fof(f1714,plain,
! [X0] :
( ~ product(e_4,X0,e_6)
| equalish(e_3,X0)
| ~ spl0_83 ),
inference(resolution,[status(thm)],[f421,f126]) ).
fof(f1716,plain,
! [X0] :
( ~ product(e_6,e_4,X0)
| product(X0,e_4,e_3)
| ~ spl0_83 ),
inference(resolution,[status(thm)],[f421,f131]) ).
fof(f1722,plain,
( equalish(e_4,e_6)
| ~ spl0_77 ),
inference(resolution,[status(thm)],[f401,f134]) ).
fof(f1723,plain,
( $false
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f1722,f111]) ).
fof(f1724,plain,
~ spl0_77,
inference(contradiction_clause,[status(thm)],[f1723]) ).
fof(f1726,plain,
! [X0] :
( ~ product(e_4,X0,e_6)
| equalish(e_5,X0)
| ~ spl0_101 ),
inference(resolution,[status(thm)],[f481,f126]) ).
fof(f1728,plain,
! [X0] :
( ~ product(e_6,e_4,X0)
| product(X0,e_4,e_5)
| ~ spl0_101 ),
inference(resolution,[status(thm)],[f481,f131]) ).
fof(f1730,plain,
! [X0] :
( ~ product(e_5,X0,e_6)
| equalish(e_2,X0)
| ~ spl0_143 ),
inference(resolution,[status(thm)],[f622,f126]) ).
fof(f1731,plain,
! [X0] :
( ~ product(e_5,e_2,X0)
| equalish(e_6,X0)
| ~ spl0_143 ),
inference(resolution,[status(thm)],[f622,f124]) ).
fof(f1732,plain,
! [X0] :
( ~ product(e_6,e_5,X0)
| product(X0,e_5,e_2)
| ~ spl0_143 ),
inference(resolution,[status(thm)],[f622,f131]) ).
fof(f1733,plain,
( equalish(e_5,e_3)
| ~ spl0_106 ),
inference(resolution,[status(thm)],[f498,f138]) ).
fof(f1734,plain,
( $false
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f1733,f114]) ).
fof(f1735,plain,
~ spl0_106,
inference(contradiction_clause,[status(thm)],[f1734]) ).
fof(f1737,plain,
( equalish(e_5,e_2)
| ~ spl0_142 ),
inference(resolution,[status(thm)],[f619,f136]) ).
fof(f1738,plain,
( $false
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[status(thm)],[f1737,f113]) ).
fof(f1739,plain,
~ spl0_142,
inference(contradiction_clause,[status(thm)],[f1738]) ).
fof(f1740,plain,
( equalish(e_2,e_3)
| ~ spl0_34
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f256,f952]) ).
fof(f1741,plain,
( $false
| ~ spl0_34
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1740,f98]) ).
fof(f1742,plain,
( ~ spl0_34
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1741]) ).
fof(f1743,plain,
! [X0] :
( ~ product(X0,e_5,e_3)
| equalish(e_1,X0)
| ~ spl0_116 ),
inference(resolution,[status(thm)],[f532,f128]) ).
fof(f1748,plain,
! [X0] :
( ~ product(e_5,X0,e_3)
| equalish(e_2,X0)
| ~ spl0_140 ),
inference(resolution,[status(thm)],[f613,f126]) ).
fof(f1749,plain,
! [X0] :
( ~ product(e_5,e_2,X0)
| equalish(e_3,X0)
| ~ spl0_140 ),
inference(resolution,[status(thm)],[f613,f124]) ).
fof(f1750,plain,
! [X0] :
( ~ product(e_3,e_5,X0)
| product(X0,e_5,e_2)
| ~ spl0_140 ),
inference(resolution,[status(thm)],[f613,f131]) ).
fof(f1754,plain,
( equalish(e_2,e_5)
| ~ spl0_139 ),
inference(resolution,[status(thm)],[f610,f138]) ).
fof(f1755,plain,
( $false
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[status(thm)],[f1754,f100]) ).
fof(f1756,plain,
~ spl0_139,
inference(contradiction_clause,[status(thm)],[f1755]) ).
fof(f1757,plain,
( product(e_5,e_1,e_2)
| ~ spl0_94
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f458,f886]) ).
fof(f1758,plain,
( spl0_145
| ~ spl0_94
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1757,f629,f457,f171]) ).
fof(f1760,plain,
( equalish(e_1,e_5)
| ~ spl0_144 ),
inference(resolution,[status(thm)],[f627,f138]) ).
fof(f1761,plain,
( $false
| ~ spl0_144 ),
inference(forward_subsumption_resolution,[status(thm)],[f1760,f95]) ).
fof(f1762,plain,
~ spl0_144,
inference(contradiction_clause,[status(thm)],[f1761]) ).
fof(f1763,plain,
! [X0] :
( ~ product(X0,e_2,e_1)
| equalish(e_5,X0)
| ~ spl0_138 ),
inference(resolution,[status(thm)],[f607,f128]) ).
fof(f1764,plain,
! [X0] :
( ~ product(e_5,X0,e_1)
| equalish(e_2,X0)
| ~ spl0_138 ),
inference(resolution,[status(thm)],[f607,f126]) ).
fof(f1766,plain,
! [X0] :
( ~ product(e_1,e_5,X0)
| product(X0,e_5,e_2)
| ~ spl0_138 ),
inference(resolution,[status(thm)],[f607,f131]) ).
fof(f1767,plain,
( equalish(e_4,e_5)
| ~ spl0_84
| ~ spl0_138 ),
inference(resolution,[status(thm)],[f1709,f607]) ).
fof(f1768,plain,
( $false
| ~ spl0_84
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[status(thm)],[f1767,f110]) ).
fof(f1769,plain,
( ~ spl0_84
| ~ spl0_138 ),
inference(contradiction_clause,[status(thm)],[f1768]) ).
fof(f1772,plain,
( equalish(e_3,e_1)
| ~ spl0_140
| ~ spl0_138 ),
inference(resolution,[status(thm)],[f1749,f607]) ).
fof(f1773,plain,
( $false
| ~ spl0_140
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[status(thm)],[f1772,f102]) ).
fof(f1774,plain,
( ~ spl0_140
| ~ spl0_138 ),
inference(contradiction_clause,[status(thm)],[f1773]) ).
fof(f1776,plain,
( product(e_3,e_2,e_1)
| ~ spl0_22
| ~ spl0_140 ),
inference(resolution,[status(thm)],[f1225,f613]) ).
fof(f1777,plain,
( spl0_42
| ~ spl0_22
| ~ spl0_140 ),
inference(split_clause,[status(thm)],[f1776,f284,f215,f612]) ).
fof(f1778,plain,
( equalish(e_2,e_3)
| ~ spl0_137
| ~ spl0_143 ),
inference(resolution,[status(thm)],[f602,f1730]) ).
fof(f1779,plain,
( $false
| ~ spl0_137
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[status(thm)],[f1778,f98]) ).
fof(f1780,plain,
( ~ spl0_137
| ~ spl0_143 ),
inference(contradiction_clause,[status(thm)],[f1779]) ).
fof(f1781,plain,
( equalish(e_4,e_5)
| ~ spl0_137
| ~ spl0_83 ),
inference(resolution,[status(thm)],[f602,f1713]) ).
fof(f1782,plain,
( $false
| ~ spl0_137
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f1781,f110]) ).
fof(f1783,plain,
( ~ spl0_137
| ~ spl0_83 ),
inference(contradiction_clause,[status(thm)],[f1782]) ).
fof(f1784,plain,
( equalish(e_2,e_3)
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f288,f138]) ).
fof(f1785,plain,
( $false
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f1784,f98]) ).
fof(f1786,plain,
~ spl0_43,
inference(contradiction_clause,[status(thm)],[f1785]) ).
fof(f1788,plain,
( equalish(e_5,e_3)
| ~ spl0_136 ),
inference(resolution,[status(thm)],[f599,f136]) ).
fof(f1789,plain,
( $false
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[status(thm)],[f1788,f114]) ).
fof(f1790,plain,
~ spl0_136,
inference(contradiction_clause,[status(thm)],[f1789]) ).
fof(f1791,plain,
( product(e_4,e_3,e_1)
| ~ spl0_135
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f596,f1135]) ).
fof(f1792,plain,
( spl0_78
| ~ spl0_135
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f1791,f405,f595,f316]) ).
fof(f1793,plain,
( equalish(e_1,e_5)
| ~ spl0_135
| ~ spl0_33 ),
inference(resolution,[status(thm)],[f596,f970]) ).
fof(f1794,plain,
( $false
| ~ spl0_135
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f1793,f95]) ).
fof(f1795,plain,
( ~ spl0_135
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f1794]) ).
fof(f1802,plain,
( equalish(e_2,e_3)
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f227,f136]) ).
fof(f1803,plain,
( $false
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f1802,f98]) ).
fof(f1804,plain,
~ spl0_25,
inference(contradiction_clause,[status(thm)],[f1803]) ).
fof(f1805,plain,
( equalish(e_1,e_3)
| ~ spl0_133
| ~ spl0_145 ),
inference(resolution,[status(thm)],[f590,f1685]) ).
fof(f1806,plain,
( $false
| ~ spl0_133
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[status(thm)],[f1805,f93]) ).
fof(f1807,plain,
( ~ spl0_133
| ~ spl0_145 ),
inference(contradiction_clause,[status(thm)],[f1806]) ).
fof(f1808,plain,
( equalish(e_2,e_5)
| ~ spl0_137
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f602,f990]) ).
fof(f1809,plain,
( $false
| ~ spl0_137
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f1808,f100]) ).
fof(f1810,plain,
( ~ spl0_137
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f1809]) ).
fof(f1811,plain,
! [X0] :
( ~ product(X0,e_3,e_4)
| equalish(e_5,X0)
| ~ spl0_135 ),
inference(resolution,[status(thm)],[f596,f128]) ).
fof(f1812,plain,
! [X0] :
( ~ product(e_5,X0,e_4)
| equalish(e_3,X0)
| ~ spl0_135 ),
inference(resolution,[status(thm)],[f596,f126]) ).
fof(f1813,plain,
! [X0] :
( ~ product(e_5,e_3,X0)
| equalish(e_4,X0)
| ~ spl0_135 ),
inference(resolution,[status(thm)],[f596,f124]) ).
fof(f1814,plain,
! [X0] :
( ~ product(e_4,e_5,X0)
| product(X0,e_5,e_3)
| ~ spl0_135 ),
inference(resolution,[status(thm)],[f596,f131]) ).
fof(f1815,plain,
( equalish(e_4,e_1)
| ~ spl0_132
| ~ spl0_135 ),
inference(resolution,[status(thm)],[f587,f1813]) ).
fof(f1816,plain,
( $false
| ~ spl0_132
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[status(thm)],[f1815,f107]) ).
fof(f1817,plain,
( ~ spl0_132
| ~ spl0_135 ),
inference(contradiction_clause,[status(thm)],[f1816]) ).
fof(f1819,plain,
! [X0] :
( ~ product(e_5,X0,e_6)
| equalish(e_3,X0)
| ~ spl0_137 ),
inference(resolution,[status(thm)],[f602,f126]) ).
fof(f1821,plain,
! [X0] :
( ~ product(e_6,e_5,X0)
| product(X0,e_5,e_3)
| ~ spl0_137 ),
inference(resolution,[status(thm)],[f602,f131]) ).
fof(f1822,plain,
( equalish(e_1,e_5)
| ~ spl0_131
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f582,f1141]) ).
fof(f1823,plain,
( $false
| ~ spl0_131
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f1822,f95]) ).
fof(f1824,plain,
( ~ spl0_131
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f1823]) ).
fof(f1826,plain,
( equalish(e_5,e_4)
| ~ spl0_130 ),
inference(resolution,[status(thm)],[f579,f136]) ).
fof(f1827,plain,
( $false
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[status(thm)],[f1826,f115]) ).
fof(f1828,plain,
~ spl0_130,
inference(contradiction_clause,[status(thm)],[f1827]) ).
fof(f1834,plain,
( equalish(e_2,e_4)
| ~ spl0_128
| ~ spl0_140 ),
inference(resolution,[status(thm)],[f573,f1748]) ).
fof(f1835,plain,
( $false
| ~ spl0_128
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[status(thm)],[f1834,f99]) ).
fof(f1836,plain,
( ~ spl0_128
| ~ spl0_140 ),
inference(contradiction_clause,[status(thm)],[f1835]) ).
fof(f1837,plain,
( product(e_2,e_4,e_1)
| ~ spl0_127
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f570,f1310]) ).
fof(f1838,plain,
( spl0_60
| ~ spl0_127
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f1837,f344,f569,f457]) ).
fof(f1839,plain,
( equalish(e_1,e_4)
| ~ spl0_127
| ~ spl0_145 ),
inference(resolution,[status(thm)],[f570,f1685]) ).
fof(f1840,plain,
( $false
| ~ spl0_127
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[status(thm)],[f1839,f94]) ).
fof(f1841,plain,
( ~ spl0_127
| ~ spl0_145 ),
inference(contradiction_clause,[status(thm)],[f1840]) ).
fof(f1842,plain,
( product(e_1,e_4,e_1)
| ~ spl0_126
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f567,f1310]) ).
fof(f1843,plain,
( spl0_66
| ~ spl0_126
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f1842,f364,f566,f457]) ).
fof(f1844,plain,
( equalish(e_3,e_5)
| ~ spl0_126
| ~ spl0_54 ),
inference(resolution,[status(thm)],[f567,f1261]) ).
fof(f1845,plain,
( $false
| ~ spl0_126
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f1844,f105]) ).
fof(f1846,plain,
( ~ spl0_126
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f1845]) ).
fof(f1848,plain,
! [X0] :
( ~ product(e_5,X0,e_3)
| equalish(e_4,X0)
| ~ spl0_128 ),
inference(resolution,[status(thm)],[f573,f126]) ).
fof(f1853,plain,
( equalish(e_5,e_6)
| ~ spl0_125 ),
inference(resolution,[status(thm)],[f562,f134]) ).
fof(f1854,plain,
( $false
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f1853,f116]) ).
fof(f1855,plain,
~ spl0_125,
inference(contradiction_clause,[status(thm)],[f1854]) ).
fof(f1871,plain,
( equalish(e_6,e_1)
| ~ spl0_179 ),
inference(resolution,[status(thm)],[f742,f138]) ).
fof(f1872,plain,
( $false
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[status(thm)],[f1871,f117]) ).
fof(f1873,plain,
~ spl0_179,
inference(contradiction_clause,[status(thm)],[f1872]) ).
fof(f1874,plain,
( equalish(e_2,e_6)
| ~ spl0_178
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f739,f952]) ).
fof(f1875,plain,
( $false
| ~ spl0_178
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1874,f101]) ).
fof(f1876,plain,
( ~ spl0_178
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1875]) ).
fof(f1877,plain,
! [X0] :
( ~ product(X0,e_6,e_4)
| equalish(e_1,X0)
| ~ spl0_177 ),
inference(resolution,[status(thm)],[f736,f128]) ).
fof(f1879,plain,
! [X0] :
( ~ product(e_1,e_6,X0)
| equalish(e_4,X0)
| ~ spl0_177 ),
inference(resolution,[status(thm)],[f736,f124]) ).
fof(f1880,plain,
! [X0] :
( ~ product(e_4,e_1,X0)
| product(X0,e_1,e_6)
| ~ spl0_177 ),
inference(resolution,[status(thm)],[f736,f131]) ).
fof(f1884,plain,
( equalish(e_4,e_3)
| ~ spl0_176
| ~ spl0_177 ),
inference(resolution,[status(thm)],[f733,f1879]) ).
fof(f1885,plain,
( $false
| ~ spl0_176
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[status(thm)],[f1884,f109]) ).
fof(f1886,plain,
( ~ spl0_176
| ~ spl0_177 ),
inference(contradiction_clause,[status(thm)],[f1885]) ).
fof(f1887,plain,
( equalish(e_3,e_6)
| ~ spl0_175
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f730,f981]) ).
fof(f1888,plain,
( $false
| ~ spl0_175
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f1887,f106]) ).
fof(f1889,plain,
( ~ spl0_175
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f1888]) ).
fof(f1890,plain,
( product(e_3,e_4,e_1)
| ~ spl0_128
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f573,f1310]) ).
fof(f1891,plain,
( spl0_54
| ~ spl0_128
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f1890,f324,f572,f457]) ).
fof(f1894,plain,
( equalish(e_5,e_1)
| ~ spl0_120 ),
inference(resolution,[status(thm)],[f547,f134]) ).
fof(f1895,plain,
( $false
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[status(thm)],[f1894,f112]) ).
fof(f1896,plain,
~ spl0_120,
inference(contradiction_clause,[status(thm)],[f1895]) ).
fof(f1897,plain,
( equalish(e_5,e_2)
| ~ spl0_112 ),
inference(resolution,[status(thm)],[f518,f138]) ).
fof(f1898,plain,
( $false
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[status(thm)],[f1897,f113]) ).
fof(f1899,plain,
~ spl0_112,
inference(contradiction_clause,[status(thm)],[f1898]) ).
fof(f1901,plain,
( equalish(e_1,e_6)
| ~ spl0_174 ),
inference(resolution,[status(thm)],[f727,f136]) ).
fof(f1902,plain,
( $false
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[status(thm)],[f1901,f96]) ).
fof(f1903,plain,
~ spl0_174,
inference(contradiction_clause,[status(thm)],[f1902]) ).
fof(f1905,plain,
! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(e_6,X0)
| ~ spl0_175 ),
inference(resolution,[status(thm)],[f730,f126]) ).
fof(f1907,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| product(X0,e_1,e_6)
| ~ spl0_175 ),
inference(resolution,[status(thm)],[f730,f131]) ).
fof(f1908,plain,
( equalish(e_6,e_2)
| ~ spl0_173 ),
inference(resolution,[status(thm)],[f722,f138]) ).
fof(f1909,plain,
( $false
| ~ spl0_173 ),
inference(forward_subsumption_resolution,[status(thm)],[f1908,f118]) ).
fof(f1910,plain,
~ spl0_173,
inference(contradiction_clause,[status(thm)],[f1909]) ).
fof(f1911,plain,
! [X0] :
( ~ product(X0,e_6,e_5)
| equalish(e_2,X0)
| ~ spl0_172 ),
inference(resolution,[status(thm)],[f719,f128]) ).
fof(f1913,plain,
! [X0] :
( ~ product(e_2,e_6,X0)
| equalish(e_5,X0)
| ~ spl0_172 ),
inference(resolution,[status(thm)],[f719,f124]) ).
fof(f1914,plain,
! [X0] :
( ~ product(e_5,e_2,X0)
| product(X0,e_2,e_6)
| ~ spl0_172 ),
inference(resolution,[status(thm)],[f719,f131]) ).
fof(f1915,plain,
( equalish(e_4,e_6)
| ~ spl0_64
| ~ spl0_172 ),
inference(resolution,[status(thm)],[f1188,f719]) ).
fof(f1916,plain,
( $false
| ~ spl0_64
| ~ spl0_172 ),
inference(forward_subsumption_resolution,[status(thm)],[f1915,f111]) ).
fof(f1917,plain,
( ~ spl0_64
| ~ spl0_172 ),
inference(contradiction_clause,[status(thm)],[f1916]) ).
fof(f1921,plain,
( equalish(e_5,e_4)
| ~ spl0_171
| ~ spl0_172 ),
inference(resolution,[status(thm)],[f716,f1913]) ).
fof(f1922,plain,
( $false
| ~ spl0_171
| ~ spl0_172 ),
inference(forward_subsumption_resolution,[status(thm)],[f1921,f115]) ).
fof(f1923,plain,
( ~ spl0_171
| ~ spl0_172 ),
inference(contradiction_clause,[status(thm)],[f1922]) ).
fof(f1924,plain,
( equalish(e_1,e_6)
| ~ spl0_171
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f716,f913]) ).
fof(f1925,plain,
( $false
| ~ spl0_171
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f1924,f96]) ).
fof(f1926,plain,
( ~ spl0_171
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f1925]) ).
fof(f1928,plain,
! [X0] :
( ~ product(e_2,X0,e_3)
| equalish(e_6,X0)
| ~ spl0_170 ),
inference(resolution,[status(thm)],[f713,f126]) ).
fof(f1929,plain,
! [X0] :
( ~ product(e_2,e_6,X0)
| equalish(e_3,X0)
| ~ spl0_170 ),
inference(resolution,[status(thm)],[f713,f124]) ).
fof(f1930,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| product(X0,e_2,e_6)
| ~ spl0_170 ),
inference(resolution,[status(thm)],[f713,f131]) ).
fof(f1937,plain,
( equalish(e_3,e_1)
| ~ spl0_168
| ~ spl0_170 ),
inference(resolution,[status(thm)],[f707,f1929]) ).
fof(f1938,plain,
( $false
| ~ spl0_168
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[status(thm)],[f1937,f102]) ).
fof(f1939,plain,
( ~ spl0_168
| ~ spl0_170 ),
inference(contradiction_clause,[status(thm)],[f1938]) ).
fof(f1941,plain,
( equalish(e_2,e_6)
| ~ spl0_169 ),
inference(resolution,[status(thm)],[f710,f136]) ).
fof(f1942,plain,
( $false
| ~ spl0_169 ),
inference(forward_subsumption_resolution,[status(thm)],[f1941,f101]) ).
fof(f1943,plain,
~ spl0_169,
inference(contradiction_clause,[status(thm)],[f1942]) ).
fof(f1947,plain,
( equalish(e_2,e_6)
| ~ spl0_166
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f699,f1383]) ).
fof(f1948,plain,
( $false
| ~ spl0_166
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f1947,f101]) ).
fof(f1949,plain,
( ~ spl0_166
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f1948]) ).
fof(f1950,plain,
( equalish(e_1,e_6)
| ~ spl0_165
| ~ spl0_51 ),
inference(resolution,[status(thm)],[f696,f1050]) ).
fof(f1951,plain,
( $false
| ~ spl0_165
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f1950,f96]) ).
fof(f1952,plain,
( ~ spl0_165
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f1951]) ).
fof(f1955,plain,
( equalish(e_3,e_1)
| ~ spl0_50 ),
inference(resolution,[status(thm)],[f311,f136]) ).
fof(f1956,plain,
( $false
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f1955,f102]) ).
fof(f1957,plain,
~ spl0_50,
inference(contradiction_clause,[status(thm)],[f1956]) ).
fof(f1959,plain,
( equalish(e_3,e_6)
| ~ spl0_164 ),
inference(resolution,[status(thm)],[f693,f136]) ).
fof(f1960,plain,
( $false
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[status(thm)],[f1959,f106]) ).
fof(f1961,plain,
~ spl0_164,
inference(contradiction_clause,[status(thm)],[f1960]) ).
fof(f1962,plain,
! [X0] :
( ~ product(X0,e_6,e_2)
| equalish(e_3,X0)
| ~ spl0_163 ),
inference(resolution,[status(thm)],[f690,f128]) ).
fof(f1965,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| product(X0,e_3,e_6)
| ~ spl0_163 ),
inference(resolution,[status(thm)],[f690,f131]) ).
fof(f1966,plain,
( equalish(e_1,e_6)
| ~ spl0_49
| ~ spl0_163 ),
inference(resolution,[status(thm)],[f1061,f690]) ).
fof(f1967,plain,
( $false
| ~ spl0_49
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[status(thm)],[f1966,f96]) ).
fof(f1968,plain,
( ~ spl0_49
| ~ spl0_163 ),
inference(contradiction_clause,[status(thm)],[f1967]) ).
fof(f1969,plain,
( equalish(e_5,e_6)
| ~ spl0_162
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f687,f1599]) ).
fof(f1970,plain,
( $false
| ~ spl0_162
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f1969,f116]) ).
fof(f1971,plain,
( ~ spl0_162
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f1970]) ).
fof(f1972,plain,
( equalish(e_4,e_6)
| ~ spl0_162
| ~ spl0_54 ),
inference(resolution,[status(thm)],[f687,f1262]) ).
fof(f1973,plain,
( $false
| ~ spl0_162
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f1972,f111]) ).
fof(f1974,plain,
( ~ spl0_162
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f1973]) ).
fof(f1975,plain,
( equalish(e_6,e_4)
| ~ spl0_161 ),
inference(resolution,[status(thm)],[f682,f138]) ).
fof(f1976,plain,
( $false
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[status(thm)],[f1975,f120]) ).
fof(f1977,plain,
~ spl0_161,
inference(contradiction_clause,[status(thm)],[f1976]) ).
fof(f1978,plain,
( equalish(e_1,e_6)
| ~ spl0_160
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f679,f1308]) ).
fof(f1979,plain,
( $false
| ~ spl0_160
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f1978,f96]) ).
fof(f1980,plain,
( ~ spl0_160
| ~ spl0_94 ),
inference(contradiction_clause,[status(thm)],[f1979]) ).
fof(f1985,plain,
( equalish(e_4,e_6)
| ~ spl0_159 ),
inference(resolution,[status(thm)],[f676,f136]) ).
fof(f1986,plain,
( $false
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[status(thm)],[f1985,f111]) ).
fof(f1987,plain,
~ spl0_159,
inference(contradiction_clause,[status(thm)],[f1986]) ).
fof(f1988,plain,
! [X0] :
( ~ product(X0,e_6,e_3)
| equalish(e_1,X0)
| ~ spl0_176 ),
inference(resolution,[status(thm)],[f733,f128]) ).
fof(f1989,plain,
! [X0] :
( ~ product(e_1,X0,e_3)
| equalish(e_6,X0)
| ~ spl0_176 ),
inference(resolution,[status(thm)],[f733,f126]) ).
fof(f1991,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| product(X0,e_1,e_6)
| ~ spl0_176 ),
inference(resolution,[status(thm)],[f733,f131]) ).
fof(f1992,plain,
( equalish(e_5,e_6)
| ~ spl0_158
| ~ spl0_98 ),
inference(resolution,[status(thm)],[f673,f1633]) ).
fof(f1993,plain,
( $false
| ~ spl0_158
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[status(thm)],[f1992,f116]) ).
fof(f1994,plain,
( ~ spl0_158
| ~ spl0_98 ),
inference(contradiction_clause,[status(thm)],[f1993]) ).
fof(f1995,plain,
( equalish(e_1,e_4)
| ~ spl0_158
| ~ spl0_176 ),
inference(resolution,[status(thm)],[f673,f1988]) ).
fof(f1996,plain,
( $false
| ~ spl0_158
| ~ spl0_176 ),
inference(forward_subsumption_resolution,[status(thm)],[f1995,f94]) ).
fof(f1997,plain,
( ~ spl0_158
| ~ spl0_176 ),
inference(contradiction_clause,[status(thm)],[f1996]) ).
fof(f1998,plain,
( equalish(e_3,e_4)
| ~ spl0_157
| ~ spl0_163 ),
inference(resolution,[status(thm)],[f670,f1962]) ).
fof(f1999,plain,
( $false
| ~ spl0_157
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[status(thm)],[f1998,f104]) ).
fof(f2000,plain,
( ~ spl0_157
| ~ spl0_163 ),
inference(contradiction_clause,[status(thm)],[f1999]) ).
fof(f2001,plain,
( equalish(e_1,e_3)
| ~ spl0_165
| ~ spl0_177 ),
inference(resolution,[status(thm)],[f696,f1877]) ).
fof(f2002,plain,
( $false
| ~ spl0_165
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[status(thm)],[f2001,f93]) ).
fof(f2003,plain,
( ~ spl0_165
| ~ spl0_177 ),
inference(contradiction_clause,[status(thm)],[f2002]) ).
fof(f2004,plain,
( equalish(e_2,e_3)
| ~ spl0_166
| ~ spl0_172 ),
inference(resolution,[status(thm)],[f699,f1911]) ).
fof(f2005,plain,
( $false
| ~ spl0_166
| ~ spl0_172 ),
inference(forward_subsumption_resolution,[status(thm)],[f2004,f98]) ).
fof(f2006,plain,
( ~ spl0_166
| ~ spl0_172 ),
inference(contradiction_clause,[status(thm)],[f2005]) ).
fof(f2007,plain,
! [X0] :
( ~ product(X0,e_6,e_3)
| equalish(e_4,X0)
| ~ spl0_158 ),
inference(resolution,[status(thm)],[f673,f128]) ).
fof(f2009,plain,
! [X0] :
( ~ product(e_4,e_6,X0)
| equalish(e_3,X0)
| ~ spl0_158 ),
inference(resolution,[status(thm)],[f673,f124]) ).
fof(f2010,plain,
! [X0] :
( ~ product(e_3,e_4,X0)
| product(X0,e_4,e_6)
| ~ spl0_158 ),
inference(resolution,[status(thm)],[f673,f131]) ).
fof(f2011,plain,
( equalish(e_3,e_1)
| ~ spl0_156
| ~ spl0_158 ),
inference(resolution,[status(thm)],[f667,f2009]) ).
fof(f2012,plain,
( $false
| ~ spl0_156
| ~ spl0_158 ),
inference(forward_subsumption_resolution,[status(thm)],[f2011,f102]) ).
fof(f2013,plain,
( ~ spl0_156
| ~ spl0_158 ),
inference(contradiction_clause,[status(thm)],[f2012]) ).
fof(f2014,plain,
( equalish(e_5,e_6)
| ~ spl0_156
| ~ spl0_96 ),
inference(resolution,[status(thm)],[f667,f1646]) ).
fof(f2015,plain,
( $false
| ~ spl0_156
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f2014,f116]) ).
fof(f2016,plain,
( ~ spl0_156
| ~ spl0_96 ),
inference(contradiction_clause,[status(thm)],[f2015]) ).
fof(f2026,plain,
! [X0] :
( ~ product(e_4,e_2,X0)
| product(X0,e_2,e_6)
| ~ spl0_171 ),
inference(resolution,[status(thm)],[f716,f131]) ).
fof(f2027,plain,
( equalish(e_3,e_6)
| ~ spl0_153
| ~ spl0_135 ),
inference(resolution,[status(thm)],[f656,f1812]) ).
fof(f2028,plain,
( $false
| ~ spl0_153
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[status(thm)],[f2027,f106]) ).
fof(f2029,plain,
( ~ spl0_153
| ~ spl0_135 ),
inference(contradiction_clause,[status(thm)],[f2028]) ).
fof(f2030,plain,
( equalish(e_4,e_6)
| ~ spl0_152
| ~ spl0_128 ),
inference(resolution,[status(thm)],[f653,f1848]) ).
fof(f2031,plain,
( $false
| ~ spl0_152
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[status(thm)],[f2030,f111]) ).
fof(f2032,plain,
( ~ spl0_152
| ~ spl0_128 ),
inference(contradiction_clause,[status(thm)],[f2031]) ).
fof(f2033,plain,
( equalish(e_1,e_6)
| ~ spl0_151
| ~ spl0_145 ),
inference(resolution,[status(thm)],[f650,f1685]) ).
fof(f2034,plain,
( $false
| ~ spl0_151
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[status(thm)],[f2033,f96]) ).
fof(f2035,plain,
( ~ spl0_151
| ~ spl0_145 ),
inference(contradiction_clause,[status(thm)],[f2034]) ).
fof(f2036,plain,
( equalish(e_2,e_6)
| ~ spl0_150
| ~ spl0_138 ),
inference(resolution,[status(thm)],[f647,f1764]) ).
fof(f2037,plain,
( $false
| ~ spl0_150
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[status(thm)],[f2036,f101]) ).
fof(f2038,plain,
( ~ spl0_150
| ~ spl0_138 ),
inference(contradiction_clause,[status(thm)],[f2037]) ).
fof(f2039,plain,
! [X0] :
( ~ product(X0,e_6,e_1)
| equalish(e_5,X0)
| ~ spl0_150 ),
inference(resolution,[status(thm)],[f647,f128]) ).
fof(f2040,plain,
! [X0] :
( ~ product(e_5,X0,e_1)
| equalish(e_6,X0)
| ~ spl0_150 ),
inference(resolution,[status(thm)],[f647,f126]) ).
fof(f2042,plain,
! [X0] :
( ~ product(e_1,e_5,X0)
| product(X0,e_5,e_6)
| ~ spl0_150 ),
inference(resolution,[status(thm)],[f647,f131]) ).
fof(f2043,plain,
( equalish(e_2,e_6)
| ~ spl0_156
| ~ spl0_84 ),
inference(resolution,[status(thm)],[f667,f1710]) ).
fof(f2044,plain,
( $false
| ~ spl0_156
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f2043,f101]) ).
fof(f2045,plain,
( ~ spl0_156
| ~ spl0_84 ),
inference(contradiction_clause,[status(thm)],[f2044]) ).
fof(f2046,plain,
! [X0] :
( ~ product(X0,e_6,e_1)
| equalish(e_2,X0)
| ~ spl0_168 ),
inference(resolution,[status(thm)],[f707,f128]) ).
fof(f2047,plain,
! [X0] :
( ~ product(e_2,X0,e_1)
| equalish(e_6,X0)
| ~ spl0_168 ),
inference(resolution,[status(thm)],[f707,f126]) ).
fof(f2049,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| product(X0,e_2,e_6)
| ~ spl0_168 ),
inference(resolution,[status(thm)],[f707,f131]) ).
fof(f2050,plain,
( equalish(e_3,e_4)
| ~ spl0_97
| ~ spl0_103 ),
inference(resolution,[status(thm)],[f469,f1618]) ).
fof(f2051,plain,
( $false
| ~ spl0_97
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f2050,f104]) ).
fof(f2052,plain,
( ~ spl0_97
| ~ spl0_103 ),
inference(contradiction_clause,[status(thm)],[f2051]) ).
fof(f2058,plain,
( equalish(e_6,e_1)
| ~ spl0_215 ),
inference(resolution,[status(thm)],[f863,f136]) ).
fof(f2059,plain,
( $false
| ~ spl0_215 ),
inference(forward_subsumption_resolution,[status(thm)],[f2058,f117]) ).
fof(f2060,plain,
~ spl0_215,
inference(contradiction_clause,[status(thm)],[f2059]) ).
fof(f2061,plain,
( equalish(e_4,e_6)
| ~ spl0_214
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f860,f1307]) ).
fof(f2062,plain,
( $false
| ~ spl0_214
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f2061,f111]) ).
fof(f2063,plain,
( ~ spl0_214
| ~ spl0_94 ),
inference(contradiction_clause,[status(thm)],[f2062]) ).
fof(f2064,plain,
( equalish(e_3,e_6)
| ~ spl0_213
| ~ spl0_51 ),
inference(resolution,[status(thm)],[f857,f1049]) ).
fof(f2065,plain,
( $false
| ~ spl0_213
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f2064,f106]) ).
fof(f2066,plain,
( ~ spl0_213
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f2065]) ).
fof(f2067,plain,
( equalish(e_2,e_6)
| ~ spl0_213
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f857,f912]) ).
fof(f2068,plain,
( $false
| ~ spl0_213
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f2067,f101]) ).
fof(f2069,plain,
( ~ spl0_213
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f2068]) ).
fof(f2073,plain,
! [X0] :
( ~ product(e_5,e_3,X0)
| product(X0,e_3,e_6)
| ~ spl0_166 ),
inference(resolution,[status(thm)],[f699,f131]) ).
fof(f2074,plain,
! [X0] :
( ~ product(X0,e_6,e_2)
| equalish(e_4,X0)
| ~ spl0_157 ),
inference(resolution,[status(thm)],[f670,f128]) ).
fof(f2075,plain,
! [X0] :
( ~ product(e_4,X0,e_2)
| equalish(e_6,X0)
| ~ spl0_157 ),
inference(resolution,[status(thm)],[f670,f126]) ).
fof(f2077,plain,
! [X0] :
( ~ product(e_2,e_4,X0)
| product(X0,e_4,e_6)
| ~ spl0_157 ),
inference(resolution,[status(thm)],[f670,f131]) ).
fof(f2080,plain,
( equalish(e_3,e_4)
| ~ spl0_39 ),
inference(resolution,[status(thm)],[f274,f134]) ).
fof(f2081,plain,
( $false
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f2080,f104]) ).
fof(f2082,plain,
~ spl0_39,
inference(contradiction_clause,[status(thm)],[f2081]) ).
fof(f2085,plain,
( equalish(e_3,e_2)
| ~ spl0_37 ),
inference(resolution,[status(thm)],[f268,f134]) ).
fof(f2086,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f2085,f103]) ).
fof(f2087,plain,
~ spl0_37,
inference(contradiction_clause,[status(thm)],[f2086]) ).
fof(f2088,plain,
( equalish(e_2,e_5)
| ~ spl0_168
| ~ spl0_150 ),
inference(resolution,[status(thm)],[f2046,f647]) ).
fof(f2089,plain,
( $false
| ~ spl0_168
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[status(thm)],[f2088,f100]) ).
fof(f2090,plain,
( ~ spl0_168
| ~ spl0_150 ),
inference(contradiction_clause,[status(thm)],[f2089]) ).
fof(f2091,plain,
( product(e_3,e_1,e_5)
| ~ spl0_212
| ~ spl0_119 ),
inference(resolution,[status(thm)],[f854,f1462]) ).
fof(f2092,plain,
( spl0_52
| ~ spl0_212
| ~ spl0_119 ),
inference(split_clause,[status(thm)],[f2091,f316,f853,f540]) ).
fof(f2095,plain,
! [X0] :
( ~ product(e_6,X0,e_3)
| equalish(e_1,X0)
| ~ spl0_212 ),
inference(resolution,[status(thm)],[f854,f126]) ).
fof(f2096,plain,
! [X0] :
( ~ product(e_6,e_1,X0)
| equalish(e_3,X0)
| ~ spl0_212 ),
inference(resolution,[status(thm)],[f854,f124]) ).
fof(f2097,plain,
! [X0] :
( ~ product(e_3,e_6,X0)
| product(X0,e_6,e_1)
| ~ spl0_212 ),
inference(resolution,[status(thm)],[f854,f131]) ).
fof(f2098,plain,
( equalish(e_5,e_6)
| ~ spl0_211
| ~ spl0_145 ),
inference(resolution,[status(thm)],[f851,f1684]) ).
fof(f2099,plain,
( $false
| ~ spl0_211
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[status(thm)],[f2098,f116]) ).
fof(f2100,plain,
( ~ spl0_211
| ~ spl0_145 ),
inference(contradiction_clause,[status(thm)],[f2099]) ).
fof(f2102,plain,
! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(e_6,X0)
| ~ spl0_211 ),
inference(resolution,[status(thm)],[f851,f128]) ).
fof(f2104,plain,
! [X0] :
( ~ product(e_6,e_1,X0)
| equalish(e_2,X0)
| ~ spl0_211 ),
inference(resolution,[status(thm)],[f851,f124]) ).
fof(f2107,plain,
! [X0] :
( ~ product(e_5,X0,e_1)
| equalish(e_3,X0)
| ~ spl0_132 ),
inference(resolution,[status(thm)],[f587,f126]) ).
fof(f2109,plain,
! [X0] :
( ~ product(e_1,e_5,X0)
| product(X0,e_5,e_3)
| ~ spl0_132 ),
inference(resolution,[status(thm)],[f587,f131]) ).
fof(f2111,plain,
! [X0] :
( ~ product(e_5,X0,e_2)
| equalish(e_3,X0)
| ~ spl0_133 ),
inference(resolution,[status(thm)],[f590,f126]) ).
fof(f2113,plain,
! [X0] :
( ~ product(e_2,e_5,X0)
| product(X0,e_5,e_3)
| ~ spl0_133 ),
inference(resolution,[status(thm)],[f590,f131]) ).
fof(f2116,plain,
( equalish(e_5,e_2)
| ~ spl0_121 ),
inference(resolution,[status(thm)],[f550,f134]) ).
fof(f2117,plain,
( $false
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f2116,f113]) ).
fof(f2118,plain,
~ spl0_121,
inference(contradiction_clause,[status(thm)],[f2117]) ).
fof(f2119,plain,
( equalish(e_3,e_5)
| ~ spl0_151
| ~ spl0_163 ),
inference(resolution,[status(thm)],[f650,f1962]) ).
fof(f2120,plain,
( $false
| ~ spl0_151
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[status(thm)],[f2119,f105]) ).
fof(f2121,plain,
( ~ spl0_151
| ~ spl0_163 ),
inference(contradiction_clause,[status(thm)],[f2120]) ).
fof(f2124,plain,
( equalish(e_5,e_4)
| ~ spl0_123 ),
inference(resolution,[status(thm)],[f556,f134]) ).
fof(f2125,plain,
( $false
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[status(thm)],[f2124,f115]) ).
fof(f2126,plain,
~ spl0_123,
inference(contradiction_clause,[status(thm)],[f2125]) ).
fof(f2127,plain,
( equalish(e_1,e_5)
| ~ spl0_153
| ~ spl0_177 ),
inference(resolution,[status(thm)],[f656,f1877]) ).
fof(f2128,plain,
( $false
| ~ spl0_153
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[status(thm)],[f2127,f95]) ).
fof(f2129,plain,
( ~ spl0_153
| ~ spl0_177 ),
inference(contradiction_clause,[status(thm)],[f2128]) ).
fof(f2130,plain,
! [X0] :
( ~ product(X0,e_4,e_5)
| equalish(e_3,X0)
| ~ spl0_58 ),
inference(resolution,[status(thm)],[f337,f128]) ).
fof(f2131,plain,
! [X0] :
( ~ product(e_3,X0,e_5)
| equalish(e_4,X0)
| ~ spl0_58 ),
inference(resolution,[status(thm)],[f337,f126]) ).
fof(f2134,plain,
( equalish(e_6,e_5)
| ~ spl0_155 ),
inference(resolution,[status(thm)],[f662,f138]) ).
fof(f2135,plain,
( $false
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[status(thm)],[f2134,f121]) ).
fof(f2136,plain,
~ spl0_155,
inference(contradiction_clause,[status(thm)],[f2135]) ).
fof(f2137,plain,
! [X0] :
( ~ product(X0,e_6,e_5)
| equalish(e_1,X0)
| ~ spl0_178 ),
inference(resolution,[status(thm)],[f739,f128]) ).
fof(f2140,plain,
! [X0] :
( ~ product(e_5,e_1,X0)
| product(X0,e_1,e_6)
| ~ spl0_178 ),
inference(resolution,[status(thm)],[f739,f131]) ).
fof(f2141,plain,
( equalish(e_2,e_5)
| ~ spl0_131
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f582,f1171]) ).
fof(f2142,plain,
( $false
| ~ spl0_131
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f2141,f100]) ).
fof(f2143,plain,
( ~ spl0_131
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f2142]) ).
fof(f2144,plain,
! [X0] :
( ~ product(X0,e_4,e_6)
| equalish(e_5,X0)
| ~ spl0_131 ),
inference(resolution,[status(thm)],[f582,f128]) ).
fof(f2145,plain,
! [X0] :
( ~ product(e_5,X0,e_6)
| equalish(e_4,X0)
| ~ spl0_131 ),
inference(resolution,[status(thm)],[f582,f126]) ).
fof(f2147,plain,
! [X0] :
( ~ product(e_6,e_5,X0)
| product(X0,e_5,e_4)
| ~ spl0_131 ),
inference(resolution,[status(thm)],[f582,f131]) ).
fof(f2149,plain,
! [X0] :
( ~ product(X0,e_1,e_3)
| equalish(e_5,X0)
| ~ spl0_146 ),
inference(resolution,[status(thm)],[f633,f128]) ).
fof(f2150,plain,
! [X0] :
( ~ product(e_5,X0,e_3)
| equalish(e_1,X0)
| ~ spl0_146 ),
inference(resolution,[status(thm)],[f633,f126]) ).
fof(f2151,plain,
! [X0] :
( ~ product(e_5,e_1,X0)
| equalish(e_3,X0)
| ~ spl0_146 ),
inference(resolution,[status(thm)],[f633,f124]) ).
fof(f2153,plain,
( equalish(e_4,e_5)
| ~ spl0_152
| ~ spl0_158 ),
inference(resolution,[status(thm)],[f653,f2007]) ).
fof(f2154,plain,
( $false
| ~ spl0_152
| ~ spl0_158 ),
inference(forward_subsumption_resolution,[status(thm)],[f2153,f110]) ).
fof(f2155,plain,
( ~ spl0_152
| ~ spl0_158 ),
inference(contradiction_clause,[status(thm)],[f2154]) ).
fof(f2158,plain,
( equalish(e_5,e_3)
| ~ spl0_122 ),
inference(resolution,[status(thm)],[f553,f134]) ).
fof(f2159,plain,
( $false
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[status(thm)],[f2158,f114]) ).
fof(f2160,plain,
~ spl0_122,
inference(contradiction_clause,[status(thm)],[f2159]) ).
fof(f2163,plain,
( equalish(e_1,e_6)
| ~ spl0_210 ),
inference(resolution,[status(thm)],[f848,f138]) ).
fof(f2164,plain,
( $false
| ~ spl0_210 ),
inference(forward_subsumption_resolution,[status(thm)],[f2163,f96]) ).
fof(f2165,plain,
~ spl0_210,
inference(contradiction_clause,[status(thm)],[f2164]) ).
fof(f2170,plain,
( equalish(e_6,e_2)
| ~ spl0_209 ),
inference(resolution,[status(thm)],[f843,f136]) ).
fof(f2171,plain,
( $false
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[status(thm)],[f2170,f118]) ).
fof(f2172,plain,
~ spl0_209,
inference(contradiction_clause,[status(thm)],[f2171]) ).
fof(f2174,plain,
! [X0] :
( ~ product(e_3,X0,e_4)
| equalish(e_6,X0)
| ~ spl0_165 ),
inference(resolution,[status(thm)],[f696,f126]) ).
fof(f2176,plain,
! [X0] :
( ~ product(e_4,e_3,X0)
| product(X0,e_3,e_6)
| ~ spl0_165 ),
inference(resolution,[status(thm)],[f696,f131]) ).
fof(f2177,plain,
( product(e_5,e_2,e_5)
| ~ spl0_208
| ~ spl0_113 ),
inference(resolution,[status(thm)],[f840,f1512]) ).
fof(f2178,plain,
( spl0_142
| ~ spl0_208
| ~ spl0_113 ),
inference(split_clause,[status(thm)],[f2177,f618,f839,f520]) ).
fof(f2179,plain,
! [X0] :
( ~ product(X0,e_2,e_5)
| equalish(e_6,X0)
| ~ spl0_208 ),
inference(resolution,[status(thm)],[f840,f128]) ).
fof(f2180,plain,
! [X0] :
( ~ product(e_6,X0,e_5)
| equalish(e_2,X0)
| ~ spl0_208 ),
inference(resolution,[status(thm)],[f840,f126]) ).
fof(f2181,plain,
! [X0] :
( ~ product(e_6,e_2,X0)
| equalish(e_5,X0)
| ~ spl0_208 ),
inference(resolution,[status(thm)],[f840,f124]) ).
fof(f2182,plain,
! [X0] :
( ~ product(e_5,e_6,X0)
| product(X0,e_6,e_2)
| ~ spl0_208 ),
inference(resolution,[status(thm)],[f840,f131]) ).
fof(f2183,plain,
( product(e_2,e_1,e_2)
| ~ spl0_11
| ~ spl0_211 ),
inference(resolution,[status(thm)],[f876,f851]) ).
fof(f2184,plain,
( spl0_19
| ~ spl0_11
| ~ spl0_211 ),
inference(split_clause,[status(thm)],[f2183,f206,f177,f850]) ).
fof(f2186,plain,
! [X0] :
( ~ product(X0,e_1,e_4)
| equalish(e_6,X0)
| ~ spl0_213 ),
inference(resolution,[status(thm)],[f857,f128]) ).
fof(f2187,plain,
! [X0] :
( ~ product(e_6,X0,e_4)
| equalish(e_1,X0)
| ~ spl0_213 ),
inference(resolution,[status(thm)],[f857,f126]) ).
fof(f2188,plain,
! [X0] :
( ~ product(e_6,e_1,X0)
| equalish(e_4,X0)
| ~ spl0_213 ),
inference(resolution,[status(thm)],[f857,f124]) ).
fof(f2189,plain,
! [X0] :
( ~ product(e_4,e_6,X0)
| product(X0,e_6,e_1)
| ~ spl0_213 ),
inference(resolution,[status(thm)],[f857,f131]) ).
fof(f2190,plain,
! [X0] :
( ~ product(X0,e_2,e_4)
| equalish(e_6,X0)
| ~ spl0_207 ),
inference(resolution,[status(thm)],[f837,f128]) ).
fof(f2191,plain,
! [X0] :
( ~ product(e_6,X0,e_4)
| equalish(e_2,X0)
| ~ spl0_207 ),
inference(resolution,[status(thm)],[f837,f126]) ).
fof(f2192,plain,
! [X0] :
( ~ product(e_6,e_2,X0)
| equalish(e_4,X0)
| ~ spl0_207 ),
inference(resolution,[status(thm)],[f837,f124]) ).
fof(f2194,plain,
( equalish(e_1,e_2)
| ~ spl0_206
| ~ spl0_212 ),
inference(resolution,[status(thm)],[f834,f2095]) ).
fof(f2195,plain,
( $false
| ~ spl0_206
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[status(thm)],[f2194,f92]) ).
fof(f2196,plain,
( ~ spl0_206
| ~ spl0_212 ),
inference(contradiction_clause,[status(thm)],[f2195]) ).
fof(f2197,plain,
( equalish(e_4,e_5)
| ~ spl0_132
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f587,f1409]) ).
fof(f2198,plain,
( $false
| ~ spl0_132
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f2197,f110]) ).
fof(f2199,plain,
( ~ spl0_132
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f2198]) ).
fof(f2201,plain,
! [X0] :
( ~ product(e_5,X0,e_2)
| equalish(e_6,X0)
| ~ spl0_151 ),
inference(resolution,[status(thm)],[f650,f126]) ).
fof(f2203,plain,
! [X0] :
( ~ product(e_2,e_5,X0)
| product(X0,e_5,e_6)
| ~ spl0_151 ),
inference(resolution,[status(thm)],[f650,f131]) ).
fof(f2204,plain,
( product(e_2,e_3,e_1)
| ~ spl0_133
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f590,f1135]) ).
fof(f2205,plain,
( spl0_24
| ~ spl0_133
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f2204,f223,f589,f316]) ).
fof(f2207,plain,
( equalish(e_5,e_6)
| ~ spl0_154 ),
inference(resolution,[status(thm)],[f659,f136]) ).
fof(f2208,plain,
( $false
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[status(thm)],[f2207,f116]) ).
fof(f2209,plain,
~ spl0_154,
inference(contradiction_clause,[status(thm)],[f2208]) ).
fof(f2210,plain,
( equalish(e_6,e_3)
| ~ spl0_167 ),
inference(resolution,[status(thm)],[f702,f138]) ).
fof(f2211,plain,
( $false
| ~ spl0_167 ),
inference(forward_subsumption_resolution,[status(thm)],[f2210,f119]) ).
fof(f2212,plain,
~ spl0_167,
inference(contradiction_clause,[status(thm)],[f2211]) ).
fof(f2213,plain,
( equalish(e_5,e_6)
| ~ spl0_175
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f730,f1493]) ).
fof(f2214,plain,
( $false
| ~ spl0_175
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f2213,f116]) ).
fof(f2215,plain,
( ~ spl0_175
| ~ spl0_115 ),
inference(contradiction_clause,[status(thm)],[f2214]) ).
fof(f2220,plain,
( equalish(e_3,e_6)
| ~ spl0_156
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f667,f1410]) ).
fof(f2221,plain,
( $false
| ~ spl0_156
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f2220,f106]) ).
fof(f2222,plain,
( ~ spl0_156
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f2221]) ).
fof(f2223,plain,
( equalish(e_2,e_6)
| ~ spl0_205 ),
inference(resolution,[status(thm)],[f831,f138]) ).
fof(f2224,plain,
( $false
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[status(thm)],[f2223,f101]) ).
fof(f2225,plain,
~ spl0_205,
inference(contradiction_clause,[status(thm)],[f2224]) ).
fof(f2226,plain,
( product(e_4,e_2,e_1)
| ~ spl0_23
| ~ spl0_207 ),
inference(resolution,[status(thm)],[f904,f837]) ).
fof(f2227,plain,
( spl0_84
| ~ spl0_23
| ~ spl0_207 ),
inference(split_clause,[status(thm)],[f2226,f425,f218,f836]) ).
fof(f2230,plain,
( equalish(e_5,e_4)
| ~ spl0_208
| ~ spl0_207 ),
inference(resolution,[status(thm)],[f2181,f837]) ).
fof(f2231,plain,
( $false
| ~ spl0_208
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[status(thm)],[f2230,f115]) ).
fof(f2232,plain,
( ~ spl0_208
| ~ spl0_207 ),
inference(contradiction_clause,[status(thm)],[f2231]) ).
fof(f2236,plain,
( equalish(e_4,e_1)
| ~ spl0_204
| ~ spl0_207 ),
inference(resolution,[status(thm)],[f828,f2192]) ).
fof(f2237,plain,
( $false
| ~ spl0_204
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[status(thm)],[f2236,f107]) ).
fof(f2238,plain,
( ~ spl0_204
| ~ spl0_207 ),
inference(contradiction_clause,[status(thm)],[f2237]) ).
fof(f2242,plain,
( product(e_5,e_3,e_4)
| ~ spl0_202
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f820,f1327]) ).
fof(f2243,plain,
( spl0_135
| ~ spl0_202
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f2242,f595,f819,f339]) ).
fof(f2244,plain,
( equalish(e_2,e_6)
| ~ spl0_202
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f820,f994]) ).
fof(f2245,plain,
( $false
| ~ spl0_202
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f2244,f101]) ).
fof(f2246,plain,
( ~ spl0_202
| ~ spl0_28 ),
inference(contradiction_clause,[status(thm)],[f2245]) ).
fof(f2247,plain,
( product(e_6,e_2,e_1)
| ~ spl0_143
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f622,f1225]) ).
fof(f2248,plain,
( spl0_204
| ~ spl0_143
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f2247,f827,f621,f215]) ).
fof(f2250,plain,
( equalish(e_6,e_3)
| ~ spl0_203 ),
inference(resolution,[status(thm)],[f823,f136]) ).
fof(f2251,plain,
( $false
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[status(thm)],[f2250,f119]) ).
fof(f2252,plain,
~ spl0_203,
inference(contradiction_clause,[status(thm)],[f2251]) ).
fof(f2253,plain,
( equalish(e_5,e_6)
| ~ spl0_141
| ~ spl0_207 ),
inference(resolution,[status(thm)],[f1704,f837]) ).
fof(f2254,plain,
( $false
| ~ spl0_141
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[status(thm)],[f2253,f116]) ).
fof(f2255,plain,
( ~ spl0_141
| ~ spl0_207 ),
inference(contradiction_clause,[status(thm)],[f2254]) ).
fof(f2256,plain,
( product(e_4,e_3,e_2)
| ~ spl0_201
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f817,f1073]) ).
fof(f2257,plain,
( spl0_79
| ~ spl0_201
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f2256,f408,f816,f299]) ).
fof(f2258,plain,
( product(e_4,e_3,e_5)
| ~ spl0_201
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f817,f1556]) ).
fof(f2259,plain,
( spl0_82
| ~ spl0_201
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f2258,f417,f816,f500]) ).
fof(f2260,plain,
( equalish(e_2,e_3)
| ~ spl0_201
| ~ spl0_207 ),
inference(resolution,[status(thm)],[f817,f2191]) ).
fof(f2261,plain,
( $false
| ~ spl0_201
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[status(thm)],[f2260,f98]) ).
fof(f2262,plain,
( ~ spl0_201
| ~ spl0_207 ),
inference(contradiction_clause,[status(thm)],[f2261]) ).
fof(f2269,plain,
! [X0] :
( ~ product(e_6,X0,e_1)
| equalish(e_2,X0)
| ~ spl0_204 ),
inference(resolution,[status(thm)],[f828,f126]) ).
fof(f2271,plain,
! [X0] :
( ~ product(e_1,e_6,X0)
| product(X0,e_6,e_2)
| ~ spl0_204 ),
inference(resolution,[status(thm)],[f828,f131]) ).
fof(f2272,plain,
( equalish(e_4,e_6)
| ~ spl0_206
| ~ spl0_86 ),
inference(resolution,[status(thm)],[f834,f1360]) ).
fof(f2273,plain,
( $false
| ~ spl0_206
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f2272,f111]) ).
fof(f2274,plain,
( ~ spl0_206
| ~ spl0_86 ),
inference(contradiction_clause,[status(thm)],[f2273]) ).
fof(f2275,plain,
! [X0] :
( ~ product(X0,e_2,e_3)
| equalish(e_6,X0)
| ~ spl0_206 ),
inference(resolution,[status(thm)],[f834,f128]) ).
fof(f2277,plain,
! [X0] :
( ~ product(e_6,e_2,X0)
| equalish(e_3,X0)
| ~ spl0_206 ),
inference(resolution,[status(thm)],[f834,f124]) ).
fof(f2278,plain,
! [X0] :
( ~ product(e_3,e_6,X0)
| product(X0,e_6,e_2)
| ~ spl0_206 ),
inference(resolution,[status(thm)],[f834,f131]) ).
fof(f2279,plain,
( equalish(e_2,e_3)
| ~ spl0_58
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f337,f1187]) ).
fof(f2280,plain,
( $false
| ~ spl0_58
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f2279,f98]) ).
fof(f2281,plain,
( ~ spl0_58
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f2280]) ).
fof(f2282,plain,
( equalish(e_5,e_6)
| ~ spl0_204
| ~ spl0_138 ),
inference(resolution,[status(thm)],[f828,f1763]) ).
fof(f2283,plain,
( $false
| ~ spl0_204
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[status(thm)],[f2282,f116]) ).
fof(f2284,plain,
( ~ spl0_204
| ~ spl0_138 ),
inference(contradiction_clause,[status(thm)],[f2283]) ).
fof(f2285,plain,
( equalish(e_3,e_6)
| ~ spl0_204
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f828,f1320]) ).
fof(f2286,plain,
( $false
| ~ spl0_204
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f2285,f106]) ).
fof(f2287,plain,
( ~ spl0_204
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f2286]) ).
fof(f2288,plain,
! [X0] :
( ~ product(X0,e_4,e_2)
| equalish(e_5,X0)
| ~ spl0_127 ),
inference(resolution,[status(thm)],[f570,f128]) ).
fof(f2291,plain,
! [X0] :
( ~ product(e_2,e_5,X0)
| product(X0,e_5,e_4)
| ~ spl0_127 ),
inference(resolution,[status(thm)],[f570,f131]) ).
fof(f2293,plain,
! [X0] :
( ~ product(e_3,X0,e_1)
| equalish(e_6,X0)
| ~ spl0_162 ),
inference(resolution,[status(thm)],[f687,f126]) ).
fof(f2295,plain,
! [X0] :
( ~ product(e_1,e_3,X0)
| product(X0,e_3,e_6)
| ~ spl0_162 ),
inference(resolution,[status(thm)],[f687,f131]) ).
fof(f2296,plain,
( product(e_6,e_2,e_3)
| ~ spl0_89
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f441,f1004]) ).
fof(f2297,plain,
( spl0_206
| ~ spl0_89
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f2296,f833,f440,f232]) ).
fof(f2298,plain,
! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(e_6,X0)
| ~ spl0_199 ),
inference(resolution,[status(thm)],[f811,f128]) ).
fof(f2299,plain,
! [X0] :
( ~ product(e_6,X0,e_2)
| equalish(e_3,X0)
| ~ spl0_199 ),
inference(resolution,[status(thm)],[f811,f126]) ).
fof(f2301,plain,
! [X0] :
( ~ product(e_2,e_6,X0)
| product(X0,e_6,e_3)
| ~ spl0_199 ),
inference(resolution,[status(thm)],[f811,f131]) ).
fof(f2303,plain,
! [X0] :
( ~ product(e_6,X0,e_1)
| equalish(e_3,X0)
| ~ spl0_198 ),
inference(resolution,[status(thm)],[f808,f126]) ).
fof(f2306,plain,
( product(e_1,e_3,e_1)
| ~ spl0_53
| ~ spl0_198 ),
inference(resolution,[status(thm)],[f1041,f808]) ).
fof(f2307,plain,
( spl0_30
| ~ spl0_53
| ~ spl0_198 ),
inference(split_clause,[status(thm)],[f2306,f243,f319,f807]) ).
fof(f2308,plain,
( product(e_2,e_3,e_1)
| ~ spl0_53
| ~ spl0_199 ),
inference(resolution,[status(thm)],[f1041,f811]) ).
fof(f2309,plain,
( spl0_24
| ~ spl0_53
| ~ spl0_199 ),
inference(split_clause,[status(thm)],[f2308,f223,f319,f810]) ).
fof(f2310,plain,
( equalish(e_2,e_3)
| ~ spl0_204
| ~ spl0_198 ),
inference(resolution,[status(thm)],[f2269,f808]) ).
fof(f2311,plain,
( $false
| ~ spl0_204
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[status(thm)],[f2310,f98]) ).
fof(f2312,plain,
( ~ spl0_204
| ~ spl0_198 ),
inference(contradiction_clause,[status(thm)],[f2311]) ).
fof(f2313,plain,
( equalish(e_3,e_6)
| ~ spl0_200 ),
inference(resolution,[status(thm)],[f814,f138]) ).
fof(f2314,plain,
( $false
| ~ spl0_200 ),
inference(forward_subsumption_resolution,[status(thm)],[f2313,f106]) ).
fof(f2315,plain,
~ spl0_200,
inference(contradiction_clause,[status(thm)],[f2314]) ).
fof(f2316,plain,
( product(e_1,e_3,e_1)
| ~ spl0_132
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f587,f1135]) ).
fof(f2317,plain,
( spl0_30
| ~ spl0_132
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f2316,f243,f586,f316]) ).
fof(f2318,plain,
( equalish(e_1,e_6)
| ~ spl0_202
| ~ spl0_34 ),
inference(resolution,[status(thm)],[f820,f1479]) ).
fof(f2319,plain,
( $false
| ~ spl0_202
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f2318,f96]) ).
fof(f2320,plain,
( ~ spl0_202
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f2319]) ).
fof(f2322,plain,
! [X0] :
( ~ product(e_6,X0,e_5)
| equalish(e_3,X0)
| ~ spl0_202 ),
inference(resolution,[status(thm)],[f820,f126]) ).
fof(f2323,plain,
! [X0] :
( ~ product(e_6,e_3,X0)
| equalish(e_5,X0)
| ~ spl0_202 ),
inference(resolution,[status(thm)],[f820,f124]) ).
fof(f2324,plain,
! [X0] :
( ~ product(e_5,e_6,X0)
| product(X0,e_6,e_3)
| ~ spl0_202 ),
inference(resolution,[status(thm)],[f820,f131]) ).
fof(f2326,plain,
( equalish(e_6,e_4)
| ~ spl0_197 ),
inference(resolution,[status(thm)],[f803,f136]) ).
fof(f2327,plain,
( $false
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[status(thm)],[f2326,f120]) ).
fof(f2328,plain,
~ spl0_197,
inference(contradiction_clause,[status(thm)],[f2327]) ).
fof(f2329,plain,
! [X0] :
( ~ product(X0,e_4,e_5)
| equalish(e_6,X0)
| ~ spl0_196 ),
inference(resolution,[status(thm)],[f800,f128]) ).
fof(f2331,plain,
! [X0] :
( ~ product(e_6,e_4,X0)
| equalish(e_5,X0)
| ~ spl0_196 ),
inference(resolution,[status(thm)],[f800,f124]) ).
fof(f2341,plain,
( equalish(e_3,e_4)
| ~ spl0_202
| ~ spl0_196 ),
inference(resolution,[status(thm)],[f2322,f800]) ).
fof(f2342,plain,
( $false
| ~ spl0_202
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[status(thm)],[f2341,f104]) ).
fof(f2343,plain,
( ~ spl0_202
| ~ spl0_196 ),
inference(contradiction_clause,[status(thm)],[f2342]) ).
fof(f2344,plain,
( equalish(e_5,e_2)
| ~ spl0_202
| ~ spl0_199 ),
inference(resolution,[status(thm)],[f2323,f811]) ).
fof(f2345,plain,
( $false
| ~ spl0_202
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[status(thm)],[f2344,f113]) ).
fof(f2346,plain,
( ~ spl0_202
| ~ spl0_199 ),
inference(contradiction_clause,[status(thm)],[f2345]) ).
fof(f2347,plain,
( equalish(e_1,e_6)
| ~ spl0_31
| ~ spl0_199 ),
inference(resolution,[status(thm)],[f980,f811]) ).
fof(f2348,plain,
( $false
| ~ spl0_31
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[status(thm)],[f2347,f96]) ).
fof(f2349,plain,
( ~ spl0_31
| ~ spl0_199 ),
inference(contradiction_clause,[status(thm)],[f2348]) ).
fof(f2350,plain,
( equalish(e_5,e_3)
| ~ spl0_194
| ~ spl0_196 ),
inference(resolution,[status(thm)],[f794,f2331]) ).
fof(f2351,plain,
( $false
| ~ spl0_194
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[status(thm)],[f2350,f114]) ).
fof(f2352,plain,
( ~ spl0_194
| ~ spl0_196 ),
inference(contradiction_clause,[status(thm)],[f2351]) ).
fof(f2353,plain,
( equalish(e_1,e_4)
| ~ spl0_194
| ~ spl0_212 ),
inference(resolution,[status(thm)],[f794,f2095]) ).
fof(f2354,plain,
( $false
| ~ spl0_194
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[status(thm)],[f2353,f94]) ).
fof(f2355,plain,
( ~ spl0_194
| ~ spl0_212 ),
inference(contradiction_clause,[status(thm)],[f2354]) ).
fof(f2356,plain,
( product(e_2,e_4,e_2)
| ~ spl0_193
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f791,f1317]) ).
fof(f2357,plain,
( spl0_61
| ~ spl0_193
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f2356,f347,f790,f440]) ).
fof(f2358,plain,
( equalish(e_3,e_4)
| ~ spl0_193
| ~ spl0_199 ),
inference(resolution,[status(thm)],[f791,f2299]) ).
fof(f2359,plain,
( $false
| ~ spl0_193
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[status(thm)],[f2358,f104]) ).
fof(f2360,plain,
( ~ spl0_193
| ~ spl0_199 ),
inference(contradiction_clause,[status(thm)],[f2359]) ).
fof(f2361,plain,
( product(e_1,e_4,e_2)
| ~ spl0_192
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f788,f1317]) ).
fof(f2362,plain,
( spl0_67
| ~ spl0_192
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f2361,f367,f787,f440]) ).
fof(f2363,plain,
( equalish(e_2,e_4)
| ~ spl0_192
| ~ spl0_204 ),
inference(resolution,[status(thm)],[f788,f2269]) ).
fof(f2364,plain,
( $false
| ~ spl0_192
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[status(thm)],[f2363,f99]) ).
fof(f2365,plain,
( ~ spl0_192
| ~ spl0_204 ),
inference(contradiction_clause,[status(thm)],[f2364]) ).
fof(f2366,plain,
( equalish(e_1,e_5)
| ~ spl0_127
| ~ spl0_67 ),
inference(resolution,[status(thm)],[f570,f1250]) ).
fof(f2367,plain,
( $false
| ~ spl0_127
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f2366,f95]) ).
fof(f2368,plain,
( ~ spl0_127
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f2367]) ).
fof(f2369,plain,
( product(e_3,e_4,e_2)
| ~ spl0_194
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f794,f1317]) ).
fof(f2370,plain,
( spl0_55
| ~ spl0_194
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f2369,f327,f793,f440]) ).
fof(f2371,plain,
! [X0] :
( ~ product(X0,e_4,e_3)
| equalish(e_6,X0)
| ~ spl0_194 ),
inference(resolution,[status(thm)],[f794,f128]) ).
fof(f2374,plain,
! [X0] :
( ~ product(e_3,e_6,X0)
| product(X0,e_6,e_4)
| ~ spl0_194 ),
inference(resolution,[status(thm)],[f794,f131]) ).
fof(f2375,plain,
( product(e_6,e_4,e_1)
| ~ spl0_131
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f582,f1310]) ).
fof(f2376,plain,
( spl0_192
| ~ spl0_131
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f2375,f787,f581,f457]) ).
fof(f2378,plain,
( equalish(e_6,e_5)
| ~ spl0_191 ),
inference(resolution,[status(thm)],[f783,f136]) ).
fof(f2379,plain,
( $false
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[status(thm)],[f2378,f121]) ).
fof(f2380,plain,
~ spl0_191,
inference(contradiction_clause,[status(thm)],[f2379]) ).
fof(f2384,plain,
( equalish(e_5,e_6)
| ~ spl0_190 ),
inference(resolution,[status(thm)],[f780,f138]) ).
fof(f2385,plain,
( $false
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[status(thm)],[f2384,f116]) ).
fof(f2386,plain,
~ spl0_190,
inference(contradiction_clause,[status(thm)],[f2385]) ).
fof(f2387,plain,
( equalish(e_1,e_6)
| ~ spl0_194
| ~ spl0_68 ),
inference(resolution,[status(thm)],[f794,f1157]) ).
fof(f2388,plain,
( $false
| ~ spl0_194
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f2387,f96]) ).
fof(f2389,plain,
( ~ spl0_194
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f2388]) ).
fof(f2390,plain,
( equalish(e_1,e_5)
| ~ spl0_189
| ~ spl0_213 ),
inference(resolution,[status(thm)],[f777,f2187]) ).
fof(f2391,plain,
( $false
| ~ spl0_189
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[status(thm)],[f2390,f95]) ).
fof(f2392,plain,
( ~ spl0_189
| ~ spl0_213 ),
inference(contradiction_clause,[status(thm)],[f2391]) ).
fof(f2393,plain,
! [X0] :
( ~ product(X0,e_5,e_4)
| equalish(e_6,X0)
| ~ spl0_189 ),
inference(resolution,[status(thm)],[f777,f128]) ).
fof(f2394,plain,
! [X0] :
( ~ product(e_6,X0,e_4)
| equalish(e_5,X0)
| ~ spl0_189 ),
inference(resolution,[status(thm)],[f777,f126]) ).
fof(f2395,plain,
! [X0] :
( ~ product(e_6,e_5,X0)
| equalish(e_4,X0)
| ~ spl0_189 ),
inference(resolution,[status(thm)],[f777,f124]) ).
fof(f2396,plain,
! [X0] :
( ~ product(e_4,e_6,X0)
| product(X0,e_6,e_5)
| ~ spl0_189 ),
inference(resolution,[status(thm)],[f777,f131]) ).
fof(f2397,plain,
( equalish(e_4,e_6)
| ~ spl0_195 ),
inference(resolution,[status(thm)],[f797,f138]) ).
fof(f2398,plain,
( $false
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[status(thm)],[f2397,f111]) ).
fof(f2399,plain,
~ spl0_195,
inference(contradiction_clause,[status(thm)],[f2398]) ).
fof(f2400,plain,
( product(e_2,e_3,e_4)
| ~ spl0_59
| ~ spl0_199 ),
inference(resolution,[status(thm)],[f1327,f811]) ).
fof(f2401,plain,
( spl0_27
| ~ spl0_59
| ~ spl0_199 ),
inference(split_clause,[status(thm)],[f2400,f232,f339,f810]) ).
fof(f2402,plain,
( equalish(e_2,e_6)
| ~ spl0_188
| ~ spl0_110 ),
inference(resolution,[status(thm)],[f774,f1532]) ).
fof(f2403,plain,
( $false
| ~ spl0_188
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f2402,f101]) ).
fof(f2404,plain,
( ~ spl0_188
| ~ spl0_110 ),
inference(contradiction_clause,[status(thm)],[f2403]) ).
fof(f2406,plain,
! [X0] :
( ~ product(e_6,X0,e_3)
| equalish(e_5,X0)
| ~ spl0_188 ),
inference(resolution,[status(thm)],[f774,f126]) ).
fof(f2407,plain,
! [X0] :
( ~ product(e_6,e_5,X0)
| equalish(e_3,X0)
| ~ spl0_188 ),
inference(resolution,[status(thm)],[f774,f124]) ).
fof(f2408,plain,
! [X0] :
( ~ product(e_3,e_6,X0)
| product(X0,e_6,e_5)
| ~ spl0_188 ),
inference(resolution,[status(thm)],[f774,f131]) ).
fof(f2411,plain,
( equalish(e_4,e_3)
| ~ spl0_189
| ~ spl0_188 ),
inference(resolution,[status(thm)],[f2395,f774]) ).
fof(f2412,plain,
( $false
| ~ spl0_189
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[status(thm)],[f2411,f109]) ).
fof(f2413,plain,
( ~ spl0_189
| ~ spl0_188 ),
inference(contradiction_clause,[status(thm)],[f2412]) ).
fof(f2414,plain,
( equalish(e_3,e_5)
| ~ spl0_187
| ~ spl0_199 ),
inference(resolution,[status(thm)],[f771,f2299]) ).
fof(f2415,plain,
( $false
| ~ spl0_187
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[status(thm)],[f2414,f105]) ).
fof(f2416,plain,
( ~ spl0_187
| ~ spl0_199 ),
inference(contradiction_clause,[status(thm)],[f2415]) ).
fof(f2417,plain,
( equalish(e_1,e_6)
| ~ spl0_187
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f771,f1492]) ).
fof(f2418,plain,
( $false
| ~ spl0_187
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f2417,f96]) ).
fof(f2419,plain,
( ~ spl0_187
| ~ spl0_115 ),
inference(contradiction_clause,[status(thm)],[f2418]) ).
fof(f2420,plain,
( equalish(e_3,e_6)
| ~ spl0_193
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f791,f1525]) ).
fof(f2421,plain,
( $false
| ~ spl0_193
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f2420,f106]) ).
fof(f2422,plain,
( ~ spl0_193
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f2421]) ).
fof(f2423,plain,
( equalish(e_5,e_6)
| ~ spl0_193
| ~ spl0_127 ),
inference(resolution,[status(thm)],[f791,f2288]) ).
fof(f2424,plain,
( $false
| ~ spl0_193
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[status(thm)],[f2423,f116]) ).
fof(f2425,plain,
( ~ spl0_193
| ~ spl0_127 ),
inference(contradiction_clause,[status(thm)],[f2424]) ).
fof(f2427,plain,
! [X0] :
( ~ product(e_6,X0,e_2)
| equalish(e_4,X0)
| ~ spl0_193 ),
inference(resolution,[status(thm)],[f791,f126]) ).
fof(f2428,plain,
! [X0] :
( ~ product(e_6,e_4,X0)
| equalish(e_2,X0)
| ~ spl0_193 ),
inference(resolution,[status(thm)],[f791,f124]) ).
fof(f2429,plain,
! [X0] :
( ~ product(e_2,e_6,X0)
| product(X0,e_6,e_4)
| ~ spl0_193 ),
inference(resolution,[status(thm)],[f791,f131]) ).
fof(f2431,plain,
( product(e_5,e_2,e_1)
| ~ spl0_23
| ~ spl0_208 ),
inference(resolution,[status(thm)],[f904,f840]) ).
fof(f2432,plain,
( spl0_138
| ~ spl0_23
| ~ spl0_208 ),
inference(split_clause,[status(thm)],[f2431,f606,f218,f839]) ).
fof(f2433,plain,
! [X0] :
( ~ product(X0,e_4,e_1)
| equalish(e_6,X0)
| ~ spl0_192 ),
inference(resolution,[status(thm)],[f788,f128]) ).
fof(f2434,plain,
! [X0] :
( ~ product(e_6,X0,e_1)
| equalish(e_4,X0)
| ~ spl0_192 ),
inference(resolution,[status(thm)],[f788,f126]) ).
fof(f2437,plain,
( equalish(e_3,e_1)
| ~ spl0_186
| ~ spl0_188 ),
inference(resolution,[status(thm)],[f768,f2407]) ).
fof(f2438,plain,
( $false
| ~ spl0_186
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[status(thm)],[f2437,f102]) ).
fof(f2439,plain,
( ~ spl0_186
| ~ spl0_188 ),
inference(contradiction_clause,[status(thm)],[f2438]) ).
fof(f2441,plain,
( equalish(e_2,e_6)
| ~ spl0_184
| ~ spl0_208 ),
inference(resolution,[status(thm)],[f760,f2180]) ).
fof(f2442,plain,
( $false
| ~ spl0_184
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[status(thm)],[f2441,f101]) ).
fof(f2443,plain,
( ~ spl0_184
| ~ spl0_208 ),
inference(contradiction_clause,[status(thm)],[f2442]) ).
fof(f2454,plain,
! [X0] :
( ~ product(e_6,X0,e_4)
| equalish(e_3,X0)
| ~ spl0_201 ),
inference(resolution,[status(thm)],[f817,f126]) ).
fof(f2462,plain,
( equalish(e_6,e_2)
| ~ spl0_181 ),
inference(resolution,[status(thm)],[f751,f134]) ).
fof(f2463,plain,
( $false
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[status(thm)],[f2462,f118]) ).
fof(f2464,plain,
~ spl0_181,
inference(contradiction_clause,[status(thm)],[f2463]) ).
fof(f2466,plain,
! [X0] :
( ~ product(e_5,X0,e_4)
| equalish(e_6,X0)
| ~ spl0_153 ),
inference(resolution,[status(thm)],[f656,f126]) ).
fof(f2468,plain,
! [X0] :
( ~ product(e_4,e_5,X0)
| product(X0,e_5,e_6)
| ~ spl0_153 ),
inference(resolution,[status(thm)],[f656,f131]) ).
fof(f2472,plain,
! [X0] :
( ~ product(e_2,e_6,X0)
| product(X0,e_6,e_5)
| ~ spl0_187 ),
inference(resolution,[status(thm)],[f771,f131]) ).
fof(f2473,plain,
( equalish(e_3,e_6)
| ~ spl0_186
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f768,f1598]) ).
fof(f2474,plain,
( $false
| ~ spl0_186
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f2473,f106]) ).
fof(f2475,plain,
( ~ spl0_186
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f2474]) ).
fof(f2482,plain,
( equalish(e_6,e_4)
| ~ spl0_183 ),
inference(resolution,[status(thm)],[f757,f134]) ).
fof(f2483,plain,
( $false
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[status(thm)],[f2482,f120]) ).
fof(f2484,plain,
~ spl0_183,
inference(contradiction_clause,[status(thm)],[f2483]) ).
fof(f2485,plain,
( product(e_5,e_4,e_2)
| ~ spl0_196
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f800,f1317]) ).
fof(f2486,plain,
( spl0_127
| ~ spl0_196
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f2485,f569,f799,f440]) ).
fof(f2489,plain,
( equalish(e_6,e_1)
| ~ spl0_180 ),
inference(resolution,[status(thm)],[f748,f134]) ).
fof(f2490,plain,
( $false
| ~ spl0_180 ),
inference(forward_subsumption_resolution,[status(thm)],[f2489,f117]) ).
fof(f2491,plain,
~ spl0_180,
inference(contradiction_clause,[status(thm)],[f2490]) ).
fof(f2494,plain,
( equalish(e_6,e_3)
| ~ spl0_182 ),
inference(resolution,[status(thm)],[f754,f134]) ).
fof(f2495,plain,
( $false
| ~ spl0_182 ),
inference(forward_subsumption_resolution,[status(thm)],[f2494,f119]) ).
fof(f2496,plain,
~ spl0_182,
inference(contradiction_clause,[status(thm)],[f2495]) ).
fof(f2497,plain,
( equalish(e_4,e_1)
| ~ spl0_4
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f155,f1307]) ).
fof(f2498,plain,
( $false
| ~ spl0_4
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f2497,f107]) ).
fof(f2499,plain,
( ~ spl0_4
| ~ spl0_94 ),
inference(contradiction_clause,[status(thm)],[f2498]) ).
fof(f2500,plain,
( product(e_5,e_1,e_5)
| ~ spl0_94
| ~ spl0_117 ),
inference(resolution,[status(thm)],[f458,f1478]) ).
fof(f2501,plain,
( spl0_148
| ~ spl0_94
| ~ spl0_117 ),
inference(split_clause,[status(thm)],[f2500,f638,f457,f534]) ).
fof(f2510,plain,
( equalish(e_2,e_6)
| ~ spl0_192
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f788,f1204]) ).
fof(f2511,plain,
( $false
| ~ spl0_192
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f2510,f101]) ).
fof(f2512,plain,
( ~ spl0_192
| ~ spl0_60 ),
inference(contradiction_clause,[status(thm)],[f2511]) ).
fof(f2513,plain,
( equalish(e_3,e_4)
| ~ spl0_52
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f1132,f458]) ).
fof(f2514,plain,
( $false
| ~ spl0_52
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f2513,f104]) ).
fof(f2515,plain,
( ~ spl0_52
| ~ spl0_94 ),
inference(contradiction_clause,[status(thm)],[f2514]) ).
fof(f2524,plain,
( equalish(e_5,e_2)
| ~ spl0_45
| ~ spl0_105 ),
inference(resolution,[status(thm)],[f294,f1609]) ).
fof(f2525,plain,
( $false
| ~ spl0_45
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f2524,f113]) ).
fof(f2526,plain,
( ~ spl0_45
| ~ spl0_105 ),
inference(contradiction_clause,[status(thm)],[f2525]) ).
fof(f2527,plain,
( equalish(e_6,e_2)
| ~ spl0_45
| ~ spl0_165 ),
inference(resolution,[status(thm)],[f294,f2174]) ).
fof(f2528,plain,
( $false
| ~ spl0_45
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[status(thm)],[f2527,f118]) ).
fof(f2529,plain,
( ~ spl0_45
| ~ spl0_165 ),
inference(contradiction_clause,[status(thm)],[f2528]) ).
fof(f2536,plain,
( product(e_5,e_1,e_3)
| ~ spl0_33
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f973,f458]) ).
fof(f2536_001,plain,
( product(e_5,e_1,e_3)
| ~ spl0_33
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f973,f458]) ).
fof(f2537,plain,
( product(e_4,e_2,e_4)
| ~ spl0_62
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f1220,f294]) ).
fof(f2538,plain,
( spl0_87
| ~ spl0_62
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f2537,f434,f350,f293]) ).
fof(f2539,plain,
( product(e_3,e_2,e_4)
| ~ spl0_8
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f169,f1207]) ).
fof(f2540,plain,
( spl0_45
| ~ spl0_8
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f2539,f293,f168,f344]) ).
fof(f2551,plain,
( equalish(e_4,e_3)
| ~ spl0_147
| ~ spl0_33
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f1678,f2536]) ).
fof(f2552,plain,
( $false
| ~ spl0_147
| ~ spl0_33
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f2551,f109]) ).
fof(f2553,plain,
( ~ spl0_147
| ~ spl0_33
| ~ spl0_94 ),
inference(contradiction_clause,[status(thm)],[f2552]) ).
fof(f2556,plain,
( equalish(e_3,e_6)
| ~ spl0_208
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f840,f1382]) ).
fof(f2557,plain,
( $false
| ~ spl0_208
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f2556,f106]) ).
fof(f2558,plain,
( ~ spl0_208
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f2557]) ).
fof(f2564,plain,
( product(e_5,e_2,e_4)
| ~ spl0_65
| ~ spl0_208 ),
inference(resolution,[status(thm)],[f1174,f840]) ).
fof(f2565,plain,
( spl0_141
| ~ spl0_65
| ~ spl0_208 ),
inference(split_clause,[status(thm)],[f2564,f615,f359,f839]) ).
fof(f2566,plain,
( product(e_3,e_1,e_4)
| ~ spl0_70
| ~ spl0_33
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f1260,f2536]) ).
fof(f2567,plain,
( spl0_51
| ~ spl0_70
| ~ spl0_33
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f2566,f313,f376,f252,f457]) ).
fof(f2568,plain,
( product(e_5,e_2,e_3)
| ~ spl0_29
| ~ spl0_208 ),
inference(resolution,[status(thm)],[f993,f840]) ).
fof(f2569,plain,
( spl0_140
| ~ spl0_29
| ~ spl0_208 ),
inference(split_clause,[status(thm)],[f2568,f612,f238,f839]) ).
fof(f2571,plain,
! [X0] :
( ~ product(e_5,X0,e_3)
| equalish(e_6,X0)
| ~ spl0_152 ),
inference(resolution,[status(thm)],[f653,f126]) ).
fof(f2574,plain,
! [X0] :
( ~ product(X0,e_4,e_1)
| equalish(e_5,X0)
| ~ spl0_126 ),
inference(resolution,[status(thm)],[f567,f128]) ).
fof(f2575,plain,
! [X0] :
( ~ product(e_5,X0,e_1)
| equalish(e_4,X0)
| ~ spl0_126 ),
inference(resolution,[status(thm)],[f567,f126]) ).
fof(f2577,plain,
! [X0] :
( ~ product(e_1,e_5,X0)
| product(X0,e_5,e_4)
| ~ spl0_126 ),
inference(resolution,[status(thm)],[f567,f131]) ).
fof(f2578,plain,
( equalish(e_5,e_6)
| ~ spl0_201
| ~ spl0_135 ),
inference(resolution,[status(thm)],[f817,f1811]) ).
fof(f2579,plain,
( $false
| ~ spl0_201
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[status(thm)],[f2578,f116]) ).
fof(f2580,plain,
( ~ spl0_201
| ~ spl0_135 ),
inference(contradiction_clause,[status(thm)],[f2579]) ).
fof(f2582,plain,
! [X0] :
( ~ product(e_4,X0,e_5)
| equalish(e_3,X0)
| ~ spl0_82 ),
inference(resolution,[status(thm)],[f418,f126]) ).
fof(f2585,plain,
( equalish(e_3,e_5)
| ~ spl0_134 ),
inference(resolution,[status(thm)],[f593,f138]) ).
fof(f2586,plain,
( $false
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[status(thm)],[f2585,f105]) ).
fof(f2587,plain,
~ spl0_134,
inference(contradiction_clause,[status(thm)],[f2586]) ).
fof(f2588,plain,
( equalish(e_6,e_1)
| ~ spl0_3
| ~ spl0_213 ),
inference(resolution,[status(thm)],[f152,f2186]) ).
fof(f2589,plain,
( $false
| ~ spl0_3
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[status(thm)],[f2588,f117]) ).
fof(f2590,plain,
( ~ spl0_3
| ~ spl0_213 ),
inference(contradiction_clause,[status(thm)],[f2589]) ).
fof(f2591,plain,
( product(e_6,e_1,e_3)
| ~ spl0_23
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f219,f983]) ).
fof(f2592,plain,
( spl0_212
| ~ spl0_23
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f2591,f853,f218,f246]) ).
fof(f2593,plain,
( product(e_6,e_1,e_5)
| ~ spl0_23
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f219,f1495]) ).
fof(f2596,plain,
( equalish(e_3,e_2)
| ~ spl0_23
| ~ spl0_53 ),
inference(resolution,[status(thm)],[f219,f1038]) ).
fof(f2597,plain,
( $false
| ~ spl0_23
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f2596,f103]) ).
fof(f2598,plain,
( ~ spl0_23
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f2597]) ).
fof(f2600,plain,
( equalish(e_3,e_1)
| ~ spl0_213
| ~ spl0_201 ),
inference(resolution,[status(thm)],[f857,f2454]) ).
fof(f2601,plain,
( $false
| ~ spl0_213
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[status(thm)],[f2600,f102]) ).
fof(f2602,plain,
( ~ spl0_213
| ~ spl0_201 ),
inference(contradiction_clause,[status(thm)],[f2601]) ).
fof(f2603,plain,
( product(e_1,e_2,e_3)
| ~ spl0_138
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f607,f997]) ).
fof(f2604,plain,
( spl0_8
| ~ spl0_138
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f2603,f168,f606,f235]) ).
fof(f2612,plain,
( product(e_1,e_2,e_3)
| ~ spl0_84
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f426,f1004]) ).
fof(f2613,plain,
( spl0_8
| ~ spl0_84
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f2612,f168,f425,f232]) ).
fof(f2631,plain,
( equalish(e_4,e_1)
| ~ spl0_128
| ~ spl0_33
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f1848,f2536]) ).
fof(f2632,plain,
( $false
| ~ spl0_128
| ~ spl0_33
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f2631,f107]) ).
fof(f2633,plain,
( ~ spl0_128
| ~ spl0_33
| ~ spl0_94 ),
inference(contradiction_clause,[status(thm)],[f2632]) ).
fof(f2634,plain,
( equalish(e_2,e_1)
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f149,f945]) ).
fof(f2635,plain,
( $false
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f2634,f97]) ).
fof(f2636,plain,
( ~ spl0_2
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f2635]) ).
fof(f2645,plain,
( product(e_3,e_6,e_1)
| ~ spl0_158
| ~ spl0_213 ),
inference(resolution,[status(thm)],[f673,f2189]) ).
fof(f2646,plain,
( spl0_162
| ~ spl0_158
| ~ spl0_213 ),
inference(split_clause,[status(thm)],[f2645,f686,f672,f856]) ).
fof(f2654,plain,
( product(e_5,e_1,e_6)
| ~ spl0_94
| ~ spl0_177 ),
inference(resolution,[status(thm)],[f458,f1880]) ).
fof(f2654_002,plain,
( product(e_5,e_1,e_6)
| ~ spl0_94
| ~ spl0_177 ),
inference(resolution,[status(thm)],[f458,f1880]) ).
fof(f2656,plain,
( equalish(e_2,e_4)
| ~ spl0_94
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f458,f1222]) ).
fof(f2657,plain,
( $false
| ~ spl0_94
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f2656,f99]) ).
fof(f2658,plain,
( ~ spl0_94
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f2657]) ).
fof(f2659,plain,
( equalish(e_5,e_4)
| ~ spl0_100 ),
inference(resolution,[status(thm)],[f478,f138]) ).
fof(f2660,plain,
( $false
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f2659,f115]) ).
fof(f2661,plain,
~ spl0_100,
inference(contradiction_clause,[status(thm)],[f2660]) ).
fof(f2664,plain,
( equalish(e_1,e_5)
| ~ spl0_133
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f590,f980]) ).
fof(f2665,plain,
( $false
| ~ spl0_133
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f2664,f95]) ).
fof(f2666,plain,
( ~ spl0_133
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f2665]) ).
fof(f2672,plain,
( product(e_2,e_3,e_2)
| ~ spl0_46
| ~ spl0_133 ),
inference(resolution,[status(thm)],[f1385,f590]) ).
fof(f2673,plain,
( spl0_25
| ~ spl0_46
| ~ spl0_133 ),
inference(split_clause,[status(thm)],[f2672,f226,f296,f589]) ).
fof(f2674,plain,
( equalish(e_4,e_5)
| ~ spl0_129 ),
inference(resolution,[status(thm)],[f576,f138]) ).
fof(f2675,plain,
( $false
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[status(thm)],[f2674,f110]) ).
fof(f2676,plain,
~ spl0_129,
inference(contradiction_clause,[status(thm)],[f2675]) ).
fof(f2678,plain,
( product(e_2,e_3,e_6)
| ~ spl0_166
| ~ spl0_133 ),
inference(resolution,[status(thm)],[f2073,f590]) ).
fof(f2679,plain,
( spl0_29
| ~ spl0_166
| ~ spl0_133 ),
inference(split_clause,[status(thm)],[f2678,f238,f698,f589]) ).
fof(f2680,plain,
( product(e_1,e_4,e_6)
| ~ spl0_54
| ~ spl0_158 ),
inference(resolution,[status(thm)],[f325,f2010]) ).
fof(f2681,plain,
( spl0_71
| ~ spl0_54
| ~ spl0_158 ),
inference(split_clause,[status(thm)],[f2680,f379,f324,f672]) ).
fof(f2682,plain,
( product(e_6,e_2,e_3)
| ~ spl0_143
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f622,f997]) ).
fof(f2683,plain,
( spl0_206
| ~ spl0_143
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f2682,f833,f621,f235]) ).
fof(f2690,plain,
( equalish(e_3,e_6)
| ~ spl0_94
| ~ spl0_177
| ~ spl0_146 ),
inference(resolution,[status(thm)],[f2654,f2151]) ).
fof(f2691,plain,
( $false
| ~ spl0_94
| ~ spl0_177
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[status(thm)],[f2690,f106]) ).
fof(f2692,plain,
( ~ spl0_94
| ~ spl0_177
| ~ spl0_146 ),
inference(contradiction_clause,[status(thm)],[f2691]) ).
fof(f2698,plain,
( spl0_146
| ~ spl0_33
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f2536,f632,f252,f457]) ).
fof(f2700,plain,
( equalish(e_1,e_5)
| ~ spl0_111
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f515,f913]) ).
fof(f2701,plain,
( $false
| ~ spl0_111
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f2700,f95]) ).
fof(f2702,plain,
( ~ spl0_111
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f2701]) ).
fof(f2703,plain,
( equalish(e_5,e_6)
| ~ spl0_168
| ~ spl0_108 ),
inference(resolution,[status(thm)],[f707,f1547]) ).
fof(f2704,plain,
( $false
| ~ spl0_168
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f2703,f116]) ).
fof(f2705,plain,
( ~ spl0_168
| ~ spl0_108 ),
inference(contradiction_clause,[status(thm)],[f2704]) ).
fof(f2707,plain,
( product(e_1,e_4,e_5)
| ~ spl0_54
| ~ spl0_98 ),
inference(resolution,[status(thm)],[f325,f1635]) ).
fof(f2708,plain,
( spl0_70
| ~ spl0_54
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f2707,f376,f324,f471]) ).
fof(f2709,plain,
( equalish(e_5,e_4)
| ~ spl0_54
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f325,f1599]) ).
fof(f2710,plain,
( $false
| ~ spl0_54
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f2709,f115]) ).
fof(f2711,plain,
( ~ spl0_54
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f2710]) ).
fof(f2713,plain,
( equalish(e_6,e_3)
| ~ spl0_54
| ~ spl0_192 ),
inference(resolution,[status(thm)],[f325,f2433]) ).
fof(f2714,plain,
( $false
| ~ spl0_54
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[status(thm)],[f2713,f119]) ).
fof(f2715,plain,
( ~ spl0_54
| ~ spl0_192 ),
inference(contradiction_clause,[status(thm)],[f2714]) ).
fof(f2717,plain,
( product(e_2,e_6,e_1)
| ~ spl0_163
| ~ spl0_212 ),
inference(resolution,[status(thm)],[f690,f2097]) ).
fof(f2718,plain,
( spl0_168
| ~ spl0_163
| ~ spl0_212 ),
inference(split_clause,[status(thm)],[f2717,f706,f689,f853]) ).
fof(f2732,plain,
( equalish(e_1,e_2)
| ~ spl0_45
| ~ spl0_51 ),
inference(resolution,[status(thm)],[f294,f1050]) ).
fof(f2733,plain,
( $false
| ~ spl0_45
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f2732,f92]) ).
fof(f2734,plain,
( ~ spl0_45
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f2733]) ).
fof(f2743,plain,
( equalish(e_4,e_6)
| ~ spl0_212
| ~ spl0_92 ),
inference(resolution,[status(thm)],[f854,f1295]) ).
fof(f2744,plain,
( $false
| ~ spl0_212
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f2743,f111]) ).
fof(f2745,plain,
( ~ spl0_212
| ~ spl0_92 ),
inference(contradiction_clause,[status(thm)],[f2744]) ).
fof(f2746,plain,
( equalish(e_5,e_6)
| ~ spl0_212
| ~ spl0_146 ),
inference(resolution,[status(thm)],[f854,f2149]) ).
fof(f2747,plain,
( $false
| ~ spl0_212
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[status(thm)],[f2746,f116]) ).
fof(f2748,plain,
( ~ spl0_212
| ~ spl0_146 ),
inference(contradiction_clause,[status(thm)],[f2747]) ).
fof(f2755,plain,
( spl0_149
| ~ spl0_94
| ~ spl0_177 ),
inference(split_clause,[status(thm)],[f2654,f641,f457,f735]) ).
fof(f2761,plain,
( product(e_4,e_3,e_1)
| ~ spl0_201
| ~ spl0_53 ),
inference(resolution,[status(thm)],[f817,f1041]) ).
fof(f2762,plain,
( spl0_78
| ~ spl0_201
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f2761,f405,f816,f319]) ).
fof(f2770,plain,
( product(e_6,e_3,e_1)
| ~ spl0_137
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f602,f1135]) ).
fof(f2771,plain,
( spl0_198
| ~ spl0_137
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f2770,f807,f601,f316]) ).
fof(f2772,plain,
( product(e_6,e_1,e_3)
| ~ spl0_149
| ~ spl0_34 ),
inference(resolution,[status(thm)],[f642,f1482]) ).
fof(f2773,plain,
( spl0_212
| ~ spl0_149
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f2772,f853,f641,f255]) ).
fof(f2774,plain,
( product(e_3,e_6,e_2)
| ~ spl0_152
| ~ spl0_208 ),
inference(resolution,[status(thm)],[f653,f2182]) ).
fof(f2775,plain,
( spl0_163
| ~ spl0_152
| ~ spl0_208 ),
inference(split_clause,[status(thm)],[f2774,f689,f652,f839]) ).
fof(f2778,plain,
( equalish(e_1,e_5)
| ~ spl0_152
| ~ spl0_176 ),
inference(resolution,[status(thm)],[f653,f1988]) ).
fof(f2779,plain,
( $false
| ~ spl0_152
| ~ spl0_176 ),
inference(forward_subsumption_resolution,[status(thm)],[f2778,f95]) ).
fof(f2780,plain,
( ~ spl0_152
| ~ spl0_176 ),
inference(contradiction_clause,[status(thm)],[f2779]) ).
fof(f2783,plain,
( equalish(e_5,e_1)
| ~ spl0_148 ),
inference(resolution,[status(thm)],[f639,f136]) ).
fof(f2784,plain,
( $false
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[status(thm)],[f2783,f112]) ).
fof(f2785,plain,
~ spl0_148,
inference(contradiction_clause,[status(thm)],[f2784]) ).
fof(f2787,plain,
( equalish(e_6,e_2)
| ~ spl0_8
| ~ spl0_176 ),
inference(resolution,[status(thm)],[f169,f1989]) ).
fof(f2788,plain,
( $false
| ~ spl0_8
| ~ spl0_176 ),
inference(forward_subsumption_resolution,[status(thm)],[f2787,f118]) ).
fof(f2789,plain,
( ~ spl0_8
| ~ spl0_176 ),
inference(contradiction_clause,[status(thm)],[f2788]) ).
fof(f2796,plain,
( product(e_3,e_2,e_5)
| ~ spl0_108
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f1549,f169]) ).
fof(f2797,plain,
( spl0_46
| ~ spl0_108
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f2796,f296,f505,f168]) ).
fof(f2798,plain,
( equalish(e_6,e_3)
| ~ spl0_207
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f2190,f294]) ).
fof(f2799,plain,
( $false
| ~ spl0_207
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f2798,f119]) ).
fof(f2800,plain,
( ~ spl0_207
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f2799]) ).
fof(f2801,plain,
( product(e_1,e_2,e_6)
| ~ spl0_138
| ~ spl0_172 ),
inference(resolution,[status(thm)],[f607,f1914]) ).
fof(f2802,plain,
( spl0_11
| ~ spl0_138
| ~ spl0_172 ),
inference(split_clause,[status(thm)],[f2801,f177,f606,f718]) ).
fof(f2803,plain,
( product(e_1,e_2,e_1)
| ~ spl0_138
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f607,f1225]) ).
fof(f2804,plain,
( spl0_6
| ~ spl0_138
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f2803,f162,f606,f215]) ).
fof(f2806,plain,
( equalish(e_4,e_2)
| ~ spl0_138
| ~ spl0_126 ),
inference(resolution,[status(thm)],[f607,f2575]) ).
fof(f2807,plain,
( $false
| ~ spl0_138
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f2806,f108]) ).
fof(f2808,plain,
( ~ spl0_138
| ~ spl0_126 ),
inference(contradiction_clause,[status(thm)],[f2807]) ).
fof(f2809,plain,
( product(e_3,e_2,e_6)
| ~ spl0_168
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f2049,f169]) ).
fof(f2810,plain,
( spl0_47
| ~ spl0_168
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f2809,f299,f706,f168]) ).
fof(f2817,plain,
( product(e_5,e_2,e_1)
| ~ spl0_208
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f840,f904]) ).
fof(f2818,plain,
( product(e_5,e_2,e_3)
| ~ spl0_88
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f438,f1004]) ).
fof(f2819,plain,
( spl0_140
| ~ spl0_88
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f2818,f612,f437,f232]) ).
fof(f2826,plain,
( product(e_5,e_2,e_1)
| ~ spl0_46
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f297,f1009]) ).
fof(f2827,plain,
( spl0_138
| ~ spl0_46
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f2826,f606,f296,f209]) ).
fof(f2828,plain,
( product(e_6,e_1,e_2)
| ~ spl0_95
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f461,f886]) ).
fof(f2829,plain,
( spl0_211
| ~ spl0_95
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f2828,f850,f460,f171]) ).
fof(f2831,plain,
( equalish(e_4,e_5)
| ~ spl0_186
| ~ spl0_192 ),
inference(resolution,[status(thm)],[f768,f2434]) ).
fof(f2832,plain,
( $false
| ~ spl0_186
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[status(thm)],[f2831,f110]) ).
fof(f2833,plain,
( ~ spl0_186
| ~ spl0_192 ),
inference(contradiction_clause,[status(thm)],[f2832]) ).
fof(f2834,plain,
( equalish(e_6,e_2)
| ~ spl0_111
| ~ spl0_189 ),
inference(resolution,[status(thm)],[f515,f2393]) ).
fof(f2835,plain,
( $false
| ~ spl0_111
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[status(thm)],[f2834,f118]) ).
fof(f2836,plain,
( ~ spl0_111
| ~ spl0_189 ),
inference(contradiction_clause,[status(thm)],[f2835]) ).
fof(f2837,plain,
( product(e_2,e_1,e_2)
| ~ spl0_49
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f308,f947]) ).
fof(f2838,plain,
( spl0_19
| ~ spl0_49
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f2837,f206,f307,f168]) ).
fof(f2841,plain,
( equalish(e_6,e_3)
| ~ spl0_49
| ~ spl0_211 ),
inference(resolution,[status(thm)],[f308,f2102]) ).
fof(f2842,plain,
( $false
| ~ spl0_49
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[status(thm)],[f2841,f119]) ).
fof(f2843,plain,
( ~ spl0_49
| ~ spl0_211 ),
inference(contradiction_clause,[status(thm)],[f2842]) ).
fof(f2845,plain,
( equalish(e_4,e_6)
| ~ spl0_186
| ~ spl0_96 ),
inference(resolution,[status(thm)],[f768,f1645]) ).
fof(f2846,plain,
( $false
| ~ spl0_186
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f2845,f111]) ).
fof(f2847,plain,
( ~ spl0_186
| ~ spl0_96 ),
inference(contradiction_clause,[status(thm)],[f2846]) ).
fof(f2849,plain,
( equalish(e_6,e_2)
| ~ spl0_141
| ~ spl0_153 ),
inference(resolution,[status(thm)],[f616,f2466]) ).
fof(f2850,plain,
( $false
| ~ spl0_141
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[status(thm)],[f2849,f118]) ).
fof(f2851,plain,
( ~ spl0_141
| ~ spl0_153 ),
inference(contradiction_clause,[status(thm)],[f2850]) ).
fof(f2853,plain,
( equalish(e_3,e_5)
| ~ spl0_141
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f616,f1083]) ).
fof(f2854,plain,
( $false
| ~ spl0_141
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f2853,f105]) ).
fof(f2855,plain,
( ~ spl0_141
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f2854]) ).
fof(f2856,plain,
( product(e_6,e_1,e_3)
| ~ spl0_95
| ~ spl0_33 ),
inference(resolution,[status(thm)],[f461,f973]) ).
fof(f2857,plain,
( spl0_212
| ~ spl0_95
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f2856,f853,f460,f252]) ).
fof(f2859,plain,
( equalish(e_3,e_1)
| ~ spl0_95
| ~ spl0_83 ),
inference(resolution,[status(thm)],[f461,f1714]) ).
fof(f2860,plain,
( $false
| ~ spl0_95
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f2859,f102]) ).
fof(f2861,plain,
( ~ spl0_95
| ~ spl0_83 ),
inference(contradiction_clause,[status(thm)],[f2860]) ).
fof(f2862,plain,
( equalish(e_6,e_1)
| ~ spl0_1
| ~ spl0_175 ),
inference(resolution,[status(thm)],[f146,f1905]) ).
fof(f2863,plain,
( $false
| ~ spl0_1
| ~ spl0_175 ),
inference(forward_subsumption_resolution,[status(thm)],[f2862,f117]) ).
fof(f2864,plain,
( ~ spl0_1
| ~ spl0_175 ),
inference(contradiction_clause,[status(thm)],[f2863]) ).
fof(f2865,plain,
( product(e_2,e_6,e_2)
| ~ spl0_175
| ~ spl0_204 ),
inference(resolution,[status(thm)],[f730,f2271]) ).
fof(f2866,plain,
( spl0_169
| ~ spl0_175
| ~ spl0_204 ),
inference(split_clause,[status(thm)],[f2865,f709,f729,f827]) ).
fof(f2868,plain,
( equalish(e_4,e_6)
| ~ spl0_175
| ~ spl0_67 ),
inference(resolution,[status(thm)],[f730,f1251]) ).
fof(f2869,plain,
( $false
| ~ spl0_175
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f2868,f111]) ).
fof(f2870,plain,
( ~ spl0_175
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f2869]) ).
fof(f2879,plain,
( product(e_5,e_3,e_5)
| ~ spl0_202
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f820,f1556]) ).
fof(f2880,plain,
( spl0_136
| ~ spl0_202
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f2879,f598,f819,f500]) ).
fof(f2888,plain,
( equalish(e_3,e_1)
| ~ spl0_199
| ~ spl0_211 ),
inference(resolution,[status(thm)],[f2299,f851]) ).
fof(f2889,plain,
( $false
| ~ spl0_199
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[status(thm)],[f2888,f102]) ).
fof(f2890,plain,
( ~ spl0_199
| ~ spl0_211 ),
inference(contradiction_clause,[status(thm)],[f2889]) ).
fof(f2892,plain,
( product(e_3,e_2,e_1)
| ~ spl0_86
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f432,f915]) ).
fof(f2893,plain,
( spl0_42
| ~ spl0_86
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f2892,f284,f431,f212]) ).
fof(f2894,plain,
( equalish(e_1,e_2)
| ~ spl0_86
| ~ spl0_92 ),
inference(resolution,[status(thm)],[f432,f1296]) ).
fof(f2895,plain,
( $false
| ~ spl0_86
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f2894,f92]) ).
fof(f2896,plain,
( ~ spl0_86
| ~ spl0_92 ),
inference(contradiction_clause,[status(thm)],[f2895]) ).
fof(f2904,plain,
! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(e_4,X0)
| ~ spl0_91 ),
inference(resolution,[status(thm)],[f449,f128]) ).
fof(f2907,plain,
! [X0] :
( ~ product(e_2,e_4,X0)
| product(X0,e_4,e_1)
| ~ spl0_91 ),
inference(resolution,[status(thm)],[f449,f131]) ).
fof(f2918,plain,
( product(e_1,e_2,e_3)
| ~ spl0_138
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f607,f997]) ).
fof(f2919,plain,
( product(e_3,e_2,e_5)
| ~ spl0_111
| ~ spl0_86 ),
inference(resolution,[status(thm)],[f1591,f432]) ).
fof(f2920,plain,
( spl0_46
| ~ spl0_111
| ~ spl0_86 ),
inference(split_clause,[status(thm)],[f2919,f296,f514,f431]) ).
fof(f2921,plain,
( equalish(e_3,e_2)
| ~ spl0_208
| ~ spl0_23
| ~ spl0_132 ),
inference(resolution,[status(thm)],[f2817,f2107]) ).
fof(f2922,plain,
( $false
| ~ spl0_208
| ~ spl0_23
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[status(thm)],[f2921,f103]) ).
fof(f2923,plain,
( ~ spl0_208
| ~ spl0_23
| ~ spl0_132 ),
inference(contradiction_clause,[status(thm)],[f2922]) ).
fof(f2924,plain,
( product(e_4,e_2,e_3)
| ~ spl0_29
| ~ spl0_207 ),
inference(resolution,[status(thm)],[f993,f837]) ).
fof(f2925,plain,
( spl0_86
| ~ spl0_29
| ~ spl0_207 ),
inference(split_clause,[status(thm)],[f2924,f431,f238,f836]) ).
fof(f2926,plain,
( product(e_2,e_1,e_4)
| ~ spl0_211
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f851,f1144]) ).
fof(f2947,plain,
( product(e_5,e_2,e_1)
| ~ spl0_88
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f438,f915]) ).
fof(f2948,plain,
( spl0_138
| ~ spl0_88
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f2947,f606,f437,f212]) ).
fof(f2955,plain,
( product(e_3,e_1,e_2)
| ~ spl0_92
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f452,f886]) ).
fof(f2955_003,plain,
( product(e_3,e_1,e_2)
| ~ spl0_92
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f452,f886]) ).
fof(f2956,plain,
( product(e_2,e_1,e_6)
| ~ spl0_92
| ~ spl0_9
| ~ spl0_176 ),
inference(resolution,[status(thm)],[f2955,f1991]) ).
fof(f2957,plain,
( spl0_23
| ~ spl0_92
| ~ spl0_9
| ~ spl0_176 ),
inference(split_clause,[status(thm)],[f2956,f218,f451,f171,f732]) ).
fof(f2958,plain,
( equalish(e_4,e_1)
| ~ spl0_92
| ~ spl0_9
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f2955,f1526]) ).
fof(f2959,plain,
( $false
| ~ spl0_92
| ~ spl0_9
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f2958,f107]) ).
fof(f2960,plain,
( ~ spl0_92
| ~ spl0_9
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f2959]) ).
fof(f2961,plain,
( equalish(e_3,e_4)
| ~ spl0_95
| ~ spl0_53 ),
inference(resolution,[status(thm)],[f461,f1038]) ).
fof(f2962,plain,
( $false
| ~ spl0_95
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f2961,f104]) ).
fof(f2963,plain,
( ~ spl0_95
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f2962]) ).
fof(f2965,plain,
( equalish(e_1,e_2)
| ~ spl0_140
| ~ spl0_146 ),
inference(resolution,[status(thm)],[f613,f2150]) ).
fof(f2966,plain,
( $false
| ~ spl0_140
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[status(thm)],[f2965,f92]) ).
fof(f2967,plain,
( ~ spl0_140
| ~ spl0_146 ),
inference(contradiction_clause,[status(thm)],[f2966]) ).
fof(f2969,plain,
( equalish(e_4,e_5)
| ~ spl0_140
| ~ spl0_86 ),
inference(resolution,[status(thm)],[f613,f1360]) ).
fof(f2970,plain,
( $false
| ~ spl0_140
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f2969,f110]) ).
fof(f2971,plain,
( ~ spl0_140
| ~ spl0_86 ),
inference(contradiction_clause,[status(thm)],[f2970]) ).
fof(f2977,plain,
( product(e_3,e_2,e_6)
| ~ spl0_172
| ~ spl0_140 ),
inference(resolution,[status(thm)],[f1914,f613]) ).
fof(f2978,plain,
( spl0_47
| ~ spl0_172
| ~ spl0_140 ),
inference(split_clause,[status(thm)],[f2977,f299,f718,f612]) ).
fof(f2979,plain,
( equalish(e_1,e_5)
| ~ spl0_140
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f613,f944]) ).
fof(f2980,plain,
( $false
| ~ spl0_140
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f2979,f95]) ).
fof(f2981,plain,
( ~ spl0_140
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f2980]) ).
fof(f2983,plain,
( equalish(e_3,e_4)
| ~ spl0_126
| ~ spl0_132 ),
inference(resolution,[status(thm)],[f567,f2107]) ).
fof(f2984,plain,
( $false
| ~ spl0_126
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[status(thm)],[f2983,f104]) ).
fof(f2985,plain,
( ~ spl0_126
| ~ spl0_132 ),
inference(contradiction_clause,[status(thm)],[f2984]) ).
fof(f2995,plain,
( equalish(e_1,e_5)
| ~ spl0_105
| ~ spl0_51 ),
inference(resolution,[status(thm)],[f495,f1050]) ).
fof(f2996,plain,
( $false
| ~ spl0_105
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f2995,f95]) ).
fof(f2997,plain,
( ~ spl0_105
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f2996]) ).
fof(f2999,plain,
( product(e_6,e_5,e_1)
| ~ spl0_113
| ~ spl0_145 ),
inference(resolution,[status(thm)],[f521,f1687]) ).
fof(f3000,plain,
( spl0_186
| ~ spl0_113
| ~ spl0_145 ),
inference(split_clause,[status(thm)],[f2999,f767,f520,f629]) ).
fof(f3007,plain,
( product(e_2,e_1,e_4)
| ~ spl0_145
| ~ spl0_70 ),
inference(resolution,[status(thm)],[f630,f1260]) ).
fof(f3008,plain,
( spl0_21
| ~ spl0_145
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f3007,f212,f629,f376]) ).
fof(f3011,plain,
( equalish(e_4,e_5)
| ~ spl0_145
| ~ spl0_91 ),
inference(resolution,[status(thm)],[f630,f2904]) ).
fof(f3012,plain,
( $false
| ~ spl0_145
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[status(thm)],[f3011,f110]) ).
fof(f3013,plain,
( ~ spl0_145
| ~ spl0_91 ),
inference(contradiction_clause,[status(thm)],[f3012]) ).
fof(f3020,plain,
( product(e_3,e_5,e_3)
| ~ spl0_116
| ~ spl0_132 ),
inference(resolution,[status(thm)],[f532,f2109]) ).
fof(f3021,plain,
( spl0_104
| ~ spl0_116
| ~ spl0_132 ),
inference(split_clause,[status(thm)],[f3020,f491,f531,f586]) ).
fof(f3028,plain,
( product(e_2,e_6,e_4)
| ~ spl0_163
| ~ spl0_194 ),
inference(resolution,[status(thm)],[f690,f2374]) ).
fof(f3029,plain,
( spl0_171
| ~ spl0_163
| ~ spl0_194 ),
inference(split_clause,[status(thm)],[f3028,f715,f689,f793]) ).
fof(f3031,plain,
( equalish(e_4,e_6)
| ~ spl0_163
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f690,f1526]) ).
fof(f3032,plain,
( $false
| ~ spl0_163
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f3031,f111]) ).
fof(f3033,plain,
( ~ spl0_163
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f3032]) ).
fof(f3041,plain,
( product(e_5,e_4,e_5)
| ~ spl0_70
| ~ spl0_96 ),
inference(resolution,[status(thm)],[f377,f1648]) ).
fof(f3042,plain,
( spl0_130
| ~ spl0_70
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f3041,f578,f376,f465]) ).
fof(f3045,plain,
( equalish(e_6,e_1)
| ~ spl0_70
| ~ spl0_196 ),
inference(resolution,[status(thm)],[f377,f2329]) ).
fof(f3046,plain,
( $false
| ~ spl0_70
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[status(thm)],[f3045,f117]) ).
fof(f3047,plain,
( ~ spl0_70
| ~ spl0_196 ),
inference(contradiction_clause,[status(thm)],[f3046]) ).
fof(f3048,plain,
( equalish(e_4,e_6)
| ~ spl0_187
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f771,f1669]) ).
fof(f3049,plain,
( $false
| ~ spl0_187
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f3048,f111]) ).
fof(f3050,plain,
( ~ spl0_187
| ~ spl0_97 ),
inference(contradiction_clause,[status(thm)],[f3049]) ).
fof(f3051,plain,
( product(e_3,e_5,e_6)
| ~ spl0_116
| ~ spl0_150 ),
inference(resolution,[status(thm)],[f532,f2042]) ).
fof(f3052,plain,
( spl0_107
| ~ spl0_116
| ~ spl0_150 ),
inference(split_clause,[status(thm)],[f3051,f500,f531,f646]) ).
fof(f3059,plain,
( product(e_1,e_2,e_3)
| ~ spl0_29
| ~ spl0_204 ),
inference(resolution,[status(thm)],[f993,f828]) ).
fof(f3060,plain,
( spl0_8
| ~ spl0_29
| ~ spl0_204 ),
inference(split_clause,[status(thm)],[f3059,f168,f238,f827]) ).
fof(f3062,plain,
! [X0] :
( ~ product(X0,e_1,e_5)
| equalish(e_6,X0)
| ~ spl0_214 ),
inference(resolution,[status(thm)],[f860,f128]) ).
fof(f3063,plain,
! [X0] :
( ~ product(e_6,X0,e_5)
| equalish(e_1,X0)
| ~ spl0_214 ),
inference(resolution,[status(thm)],[f860,f126]) ).
fof(f3067,plain,
( equalish(e_1,e_2)
| ~ spl0_141
| ~ spl0_147 ),
inference(resolution,[status(thm)],[f616,f1677]) ).
fof(f3068,plain,
( $false
| ~ spl0_141
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[status(thm)],[f3067,f92]) ).
fof(f3069,plain,
( ~ spl0_141
| ~ spl0_147 ),
inference(contradiction_clause,[status(thm)],[f3068]) ).
fof(f3070,plain,
( product(e_5,e_3,e_1)
| ~ spl0_202
| ~ spl0_53 ),
inference(resolution,[status(thm)],[f820,f1041]) ).
fof(f3071,plain,
( spl0_132
| ~ spl0_202
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f3070,f586,f819,f319]) ).
fof(f3072,plain,
( product(e_4,e_1,e_3)
| ~ spl0_21
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f213,f983]) ).
fof(f3073,plain,
( spl0_92
| ~ spl0_21
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f3072,f451,f212,f246]) ).
fof(f3076,plain,
( equalish(e_5,e_2)
| ~ spl0_21
| ~ spl0_147 ),
inference(resolution,[status(thm)],[f213,f1676]) ).
fof(f3077,plain,
( $false
| ~ spl0_21
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[status(thm)],[f3076,f113]) ).
fof(f3078,plain,
( ~ spl0_21
| ~ spl0_147 ),
inference(contradiction_clause,[status(thm)],[f3077]) ).
fof(f3085,plain,
! [X0] :
( ~ product(X0,e_6,e_5)
| equalish(e_4,X0)
| ~ spl0_160 ),
inference(resolution,[status(thm)],[f679,f128]) ).
fof(f3088,plain,
! [X0] :
( ~ product(e_5,e_4,X0)
| product(X0,e_4,e_6)
| ~ spl0_160 ),
inference(resolution,[status(thm)],[f679,f131]) ).
fof(f3089,plain,
( product(e_2,e_5,e_2)
| ~ spl0_187
| ~ spl0_143 ),
inference(resolution,[status(thm)],[f771,f1732]) ).
fof(f3090,plain,
( spl0_109
| ~ spl0_187
| ~ spl0_143 ),
inference(split_clause,[status(thm)],[f3089,f508,f770,f621]) ).
fof(f3091,plain,
( product(e_2,e_5,e_4)
| ~ spl0_187
| ~ spl0_131 ),
inference(resolution,[status(thm)],[f771,f2147]) ).
fof(f3092,plain,
( spl0_111
| ~ spl0_187
| ~ spl0_131 ),
inference(split_clause,[status(thm)],[f3091,f514,f770,f581]) ).
fof(f3094,plain,
( equalish(e_4,e_5)
| ~ spl0_187
| ~ spl0_193 ),
inference(resolution,[status(thm)],[f771,f2427]) ).
fof(f3095,plain,
( $false
| ~ spl0_187
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[status(thm)],[f3094,f110]) ).
fof(f3096,plain,
( ~ spl0_187
| ~ spl0_193 ),
inference(contradiction_clause,[status(thm)],[f3095]) ).
fof(f3103,plain,
( product(e_3,e_2,e_1)
| ~ spl0_140
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f613,f1225]) ).
fof(f3104,plain,
( product(e_1,e_2,e_6)
| ~ spl0_140
| ~ spl0_22
| ~ spl0_170 ),
inference(resolution,[status(thm)],[f3103,f1930]) ).
fof(f3105,plain,
( spl0_11
| ~ spl0_140
| ~ spl0_22
| ~ spl0_170 ),
inference(split_clause,[status(thm)],[f3104,f177,f612,f215,f712]) ).
fof(f3106,plain,
( product(e_1,e_2,e_4)
| ~ spl0_140
| ~ spl0_22
| ~ spl0_62 ),
inference(resolution,[status(thm)],[f3103,f1220]) ).
fof(f3107,plain,
( spl0_9
| ~ spl0_140
| ~ spl0_22
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f3106,f171,f612,f215,f350]) ).
fof(f3127,plain,
( equalish(e_3,e_2)
| ~ spl0_91
| ~ spl0_92 ),
inference(resolution,[status(thm)],[f449,f1297]) ).
fof(f3128,plain,
( $false
| ~ spl0_91
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f3127,f103]) ).
fof(f3129,plain,
( ~ spl0_91
| ~ spl0_92 ),
inference(contradiction_clause,[status(thm)],[f3128]) ).
fof(f3130,plain,
( product(e_2,e_1,e_3)
| ~ spl0_91
| ~ spl0_33 ),
inference(resolution,[status(thm)],[f449,f973]) ).
fof(f3131,plain,
( spl0_20
| ~ spl0_91
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f3130,f209,f448,f252]) ).
fof(f3132,plain,
( product(e_2,e_1,e_6)
| ~ spl0_91
| ~ spl0_177 ),
inference(resolution,[status(thm)],[f449,f1880]) ).
fof(f3133,plain,
( spl0_23
| ~ spl0_91
| ~ spl0_177 ),
inference(split_clause,[status(thm)],[f3132,f218,f448,f735]) ).
fof(f3135,plain,
( equalish(e_6,e_1)
| ~ spl0_91
| ~ spl0_157 ),
inference(resolution,[status(thm)],[f449,f2075]) ).
fof(f3136,plain,
( $false
| ~ spl0_91
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[status(thm)],[f3135,f117]) ).
fof(f3137,plain,
( ~ spl0_91
| ~ spl0_157 ),
inference(contradiction_clause,[status(thm)],[f3136]) ).
fof(f3139,plain,
( product(e_4,e_1,e_2)
| ~ spl0_51
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f314,f947]) ).
fof(f3140,plain,
( spl0_91
| ~ spl0_51
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f3139,f448,f313,f168]) ).
fof(f3142,plain,
( equalish(e_2,e_3)
| ~ spl0_51
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f314,f912]) ).
fof(f3143,plain,
( $false
| ~ spl0_51
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f3142,f98]) ).
fof(f3144,plain,
( ~ spl0_51
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f3143]) ).
fof(f3145,plain,
( spl0_49
| ~ spl0_92
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f2955,f307,f451,f171]) ).
fof(f3151,plain,
( equalish(e_4,e_6)
| ~ spl0_176
| ~ spl0_68 ),
inference(resolution,[status(thm)],[f733,f1158]) ).
fof(f3152,plain,
( $false
| ~ spl0_176
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f3151,f111]) ).
fof(f3153,plain,
( ~ spl0_176
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f3152]) ).
fof(f3158,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ greater(e_4,X0)
| ~ spl0_211
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f2926,f85]) ).
fof(f3175,plain,
( equalish(e_4,e_5)
| ~ spl0_146
| ~ spl0_92 ),
inference(resolution,[status(thm)],[f633,f1295]) ).
fof(f3176,plain,
( $false
| ~ spl0_146
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f3175,f110]) ).
fof(f3177,plain,
( ~ spl0_146
| ~ spl0_92 ),
inference(contradiction_clause,[status(thm)],[f3176]) ).
fof(f3180,plain,
( equalish(e_1,e_5)
| ~ spl0_141
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f616,f883]) ).
fof(f3181,plain,
( $false
| ~ spl0_141
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f3180,f95]) ).
fof(f3182,plain,
( ~ spl0_141
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f3181]) ).
fof(f3188,plain,
( equalish(e_6,e_3)
| ~ spl0_105
| ~ spl0_189 ),
inference(resolution,[status(thm)],[f495,f2393]) ).
fof(f3189,plain,
( $false
| ~ spl0_105
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[status(thm)],[f3188,f119]) ).
fof(f3190,plain,
( ~ spl0_105
| ~ spl0_189 ),
inference(contradiction_clause,[status(thm)],[f3189]) ).
fof(f3191,plain,
( product(e_1,e_5,e_2)
| ~ spl0_96
| ~ spl0_141 ),
inference(resolution,[status(thm)],[f466,f1707]) ).
fof(f3192,plain,
( spl0_115
| ~ spl0_96
| ~ spl0_141 ),
inference(split_clause,[status(thm)],[f3191,f528,f465,f615]) ).
fof(f3199,plain,
( product(e_3,e_6,e_3)
| ~ spl0_199
| ~ spl0_170 ),
inference(resolution,[status(thm)],[f2301,f713]) ).
fof(f3200,plain,
( spl0_164
| ~ spl0_199
| ~ spl0_170 ),
inference(split_clause,[status(thm)],[f3199,f692,f810,f712]) ).
fof(f3209,plain,
( product(e_4,e_3,e_2)
| ~ spl0_33
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f253,f1323]) ).
fof(f3210,plain,
( spl0_79
| ~ spl0_33
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f3209,f408,f252,f284]) ).
fof(f3224,plain,
( equalish(e_3,e_5)
| ~ spl0_23
| ~ spl0_115
| ~ spl0_212 ),
inference(resolution,[status(thm)],[f2593,f2096]) ).
fof(f3225,plain,
( $false
| ~ spl0_23
| ~ spl0_115
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[status(thm)],[f3224,f105]) ).
fof(f3226,plain,
( ~ spl0_23
| ~ spl0_115
| ~ spl0_212 ),
inference(contradiction_clause,[status(thm)],[f3225]) ).
fof(f3227,plain,
( product(e_5,e_4,e_5)
| ~ spl0_58
| ~ spl0_98 ),
inference(resolution,[status(thm)],[f337,f1635]) ).
fof(f3228,plain,
( spl0_130
| ~ spl0_58
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f3227,f578,f336,f471]) ).
fof(f3230,plain,
( equalish(e_2,e_4)
| ~ spl0_58
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f337,f1383]) ).
fof(f3231,plain,
( $false
| ~ spl0_58
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f3230,f99]) ).
fof(f3232,plain,
( ~ spl0_58
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f3231]) ).
fof(f3233,plain,
( equalish(e_2,e_3)
| ~ spl0_212
| ~ spl0_211 ),
inference(resolution,[status(thm)],[f854,f2104]) ).
fof(f3234,plain,
( $false
| ~ spl0_212
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[status(thm)],[f3233,f98]) ).
fof(f3235,plain,
( ~ spl0_212
| ~ spl0_211 ),
inference(contradiction_clause,[status(thm)],[f3234]) ).
fof(f3250,plain,
( equalish(e_5,e_1)
| ~ spl0_188
| ~ spl0_212 ),
inference(resolution,[status(thm)],[f2406,f854]) ).
fof(f3251,plain,
( $false
| ~ spl0_188
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[status(thm)],[f3250,f112]) ).
fof(f3252,plain,
( ~ spl0_188
| ~ spl0_212 ),
inference(contradiction_clause,[status(thm)],[f3251]) ).
fof(f3255,plain,
( equalish(e_2,e_4)
| ~ spl0_95
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f461,f901]) ).
fof(f3256,plain,
( $false
| ~ spl0_95
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f3255,f99]) ).
fof(f3257,plain,
( ~ spl0_95
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f3256]) ).
fof(f3258,plain,
( equalish(e_6,e_3)
| ~ spl0_140
| ~ spl0_143 ),
inference(resolution,[status(thm)],[f613,f1731]) ).
fof(f3259,plain,
( $false
| ~ spl0_140
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[status(thm)],[f3258,f119]) ).
fof(f3260,plain,
( ~ spl0_140
| ~ spl0_143 ),
inference(contradiction_clause,[status(thm)],[f3259]) ).
fof(f3262,plain,
( equalish(e_5,e_4)
| ~ spl0_60
| ~ spl0_108 ),
inference(resolution,[status(thm)],[f345,f1547]) ).
fof(f3263,plain,
( $false
| ~ spl0_60
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f3262,f115]) ).
fof(f3264,plain,
( ~ spl0_60
| ~ spl0_108 ),
inference(contradiction_clause,[status(thm)],[f3263]) ).
fof(f3277,plain,
( product(e_4,e_1,e_6)
| ~ spl0_21
| ~ spl0_175 ),
inference(resolution,[status(thm)],[f213,f1907]) ).
fof(f3278,plain,
( spl0_95
| ~ spl0_21
| ~ spl0_175 ),
inference(split_clause,[status(thm)],[f3277,f460,f212,f729]) ).
fof(f3284,plain,
( product(e_6,e_2,e_1)
| ~ spl0_47
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f300,f1009]) ).
fof(f3285,plain,
( spl0_204
| ~ spl0_47
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f3284,f827,f299,f209]) ).
fof(f3286,plain,
( ~ next(e_2,e_3)
| ~ spl0_211
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f3158,f78]) ).
fof(f3287,plain,
( $false
| ~ spl0_211
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f3286,f65]) ).
fof(f3288,plain,
( ~ spl0_211
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f3287]) ).
fof(f3289,plain,
( product(e_1,e_4,e_6)
| ~ spl0_157
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f2077,f345]) ).
fof(f3290,plain,
( spl0_71
| ~ spl0_157
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f3289,f379,f669,f344]) ).
fof(f3291,plain,
( equalish(e_5,e_2)
| ~ spl0_60
| ~ spl0_126 ),
inference(resolution,[status(thm)],[f345,f2574]) ).
fof(f3292,plain,
( $false
| ~ spl0_60
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f3291,f113]) ).
fof(f3293,plain,
( ~ spl0_60
| ~ spl0_126 ),
inference(contradiction_clause,[status(thm)],[f3292]) ).
fof(f3294,plain,
( product(e_1,e_4,e_5)
| ~ spl0_97
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f1672,f345]) ).
fof(f3295,plain,
( spl0_70
| ~ spl0_97
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f3294,f376,f468,f344]) ).
fof(f3296,plain,
( product(e_6,e_2,e_4)
| ~ spl0_143
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f622,f1190]) ).
fof(f3297,plain,
( spl0_207
| ~ spl0_143
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f3296,f836,f621,f356]) ).
fof(f3299,plain,
( equalish(e_4,e_2)
| ~ spl0_143
| ~ spl0_131 ),
inference(resolution,[status(thm)],[f622,f2145]) ).
fof(f3300,plain,
( $false
| ~ spl0_143
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[status(thm)],[f3299,f108]) ).
fof(f3301,plain,
( ~ spl0_143
| ~ spl0_131 ),
inference(contradiction_clause,[status(thm)],[f3300]) ).
fof(f3307,plain,
( product(e_6,e_1,e_4)
| ~ spl0_149
| ~ spl0_70 ),
inference(resolution,[status(thm)],[f642,f1260]) ).
fof(f3308,plain,
( spl0_213
| ~ spl0_149
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f3307,f856,f641,f376]) ).
fof(f3316,plain,
( product(e_5,e_3,e_6)
| ~ spl0_28
| ~ spl0_163 ),
inference(resolution,[status(thm)],[f236,f1965]) ).
fof(f3324,plain,
( equalish(e_4,e_6)
| ~ spl0_28
| ~ spl0_163
| ~ spl0_135 ),
inference(resolution,[status(thm)],[f3316,f1813]) ).
fof(f3325,plain,
( $false
| ~ spl0_28
| ~ spl0_163
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[status(thm)],[f3324,f111]) ).
fof(f3326,plain,
( ~ spl0_28
| ~ spl0_163
| ~ spl0_135 ),
inference(contradiction_clause,[status(thm)],[f3325]) ).
fof(f3327,plain,
( equalish(e_1,e_3)
| ~ spl0_28
| ~ spl0_163
| ~ spl0_149 ),
inference(resolution,[status(thm)],[f3316,f1651]) ).
fof(f3328,plain,
( $false
| ~ spl0_28
| ~ spl0_163
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[status(thm)],[f3327,f93]) ).
fof(f3329,plain,
( ~ spl0_28
| ~ spl0_163
| ~ spl0_149 ),
inference(contradiction_clause,[status(thm)],[f3328]) ).
fof(f3331,plain,
( equalish(e_6,e_5)
| ~ spl0_110
| ~ spl0_170 ),
inference(resolution,[status(thm)],[f512,f1928]) ).
fof(f3332,plain,
( $false
| ~ spl0_110
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[status(thm)],[f3331,f121]) ).
fof(f3333,plain,
( ~ spl0_110
| ~ spl0_170 ),
inference(contradiction_clause,[status(thm)],[f3332]) ).
fof(f3340,plain,
( product(e_3,e_5,e_6)
| ~ spl0_151
| ~ spl0_110 ),
inference(resolution,[status(thm)],[f2203,f512]) ).
fof(f3341,plain,
( spl0_107
| ~ spl0_151
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f3340,f500,f649,f511]) ).
fof(f3348,plain,
( product(e_3,e_5,e_4)
| ~ spl0_127
| ~ spl0_110 ),
inference(resolution,[status(thm)],[f2291,f512]) ).
fof(f3349,plain,
( spl0_105
| ~ spl0_127
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f3348,f494,f569,f511]) ).
fof(f3350,plain,
( equalish(e_1,e_2)
| ~ spl0_116
| ~ spl0_110 ),
inference(resolution,[status(thm)],[f1743,f512]) ).
fof(f3351,plain,
( $false
| ~ spl0_116
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f3350,f92]) ).
fof(f3352,plain,
( ~ spl0_116
| ~ spl0_110 ),
inference(contradiction_clause,[status(thm)],[f3351]) ).
fof(f3353,plain,
( equalish(e_4,e_5)
| ~ spl0_62
| ~ spl0_110 ),
inference(resolution,[status(thm)],[f1218,f512]) ).
fof(f3354,plain,
( $false
| ~ spl0_62
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f3353,f110]) ).
fof(f3355,plain,
( ~ spl0_62
| ~ spl0_110 ),
inference(contradiction_clause,[status(thm)],[f3354]) ).
fof(f3362,plain,
( product(e_3,e_5,e_3)
| ~ spl0_133
| ~ spl0_110 ),
inference(resolution,[status(thm)],[f2113,f512]) ).
fof(f3363,plain,
( spl0_104
| ~ spl0_133
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f3362,f491,f589,f511]) ).
fof(f3372,plain,
( product(e_6,e_1,e_2)
| ~ spl0_149
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f642,f954]) ).
fof(f3373,plain,
( spl0_211
| ~ spl0_149
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f3372,f850,f641,f174]) ).
fof(f3375,plain,
( equalish(e_3,e_1)
| ~ spl0_149
| ~ spl0_137 ),
inference(resolution,[status(thm)],[f642,f1819]) ).
fof(f3376,plain,
( $false
| ~ spl0_149
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[status(thm)],[f3375,f102]) ).
fof(f3377,plain,
( ~ spl0_149
| ~ spl0_137 ),
inference(contradiction_clause,[status(thm)],[f3376]) ).
fof(f3385,plain,
( product(e_6,e_1,e_6)
| ~ spl0_178
| ~ spl0_149 ),
inference(resolution,[status(thm)],[f2140,f642]) ).
fof(f3386,plain,
( spl0_215
| ~ spl0_178
| ~ spl0_149 ),
inference(split_clause,[status(thm)],[f3385,f862,f738,f641]) ).
fof(f3387,plain,
( product(e_3,e_2,e_4)
| ~ spl0_140
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f613,f1190]) ).
fof(f3388,plain,
( spl0_45
| ~ spl0_140
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f3387,f293,f612,f356]) ).
fof(f3389,plain,
( product(e_3,e_2,e_3)
| ~ spl0_140
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f613,f997]) ).
fof(f3390,plain,
( spl0_44
| ~ spl0_140
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f3389,f290,f612,f235]) ).
fof(f3392,plain,
( equalish(e_6,e_2)
| ~ spl0_140
| ~ spl0_152 ),
inference(resolution,[status(thm)],[f613,f2571]) ).
fof(f3393,plain,
( $false
| ~ spl0_140
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[status(thm)],[f3392,f118]) ).
fof(f3394,plain,
( ~ spl0_140
| ~ spl0_152 ),
inference(contradiction_clause,[status(thm)],[f3393]) ).
fof(f3401,plain,
( product(e_6,e_2,e_3)
| ~ spl0_143
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f622,f997]) ).
fof(f3402,plain,
( equalish(e_5,e_2)
| ~ spl0_143
| ~ spl0_28
| ~ spl0_188 ),
inference(resolution,[status(thm)],[f3401,f2406]) ).
fof(f3403,plain,
( $false
| ~ spl0_143
| ~ spl0_28
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[status(thm)],[f3402,f113]) ).
fof(f3404,plain,
( ~ spl0_143
| ~ spl0_28
| ~ spl0_188 ),
inference(contradiction_clause,[status(thm)],[f3403]) ).
fof(f3405,plain,
( equalish(e_4,e_3)
| ~ spl0_207
| ~ spl0_143
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f2192,f3401]) ).
fof(f3406,plain,
( $false
| ~ spl0_207
| ~ spl0_143
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f3405,f109]) ).
fof(f3407,plain,
( ~ spl0_207
| ~ spl0_143
| ~ spl0_28 ),
inference(contradiction_clause,[status(thm)],[f3406]) ).
fof(f3408,plain,
( product(e_4,e_1,e_5)
| ~ spl0_115
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f1495,f213]) ).
fof(f3409,plain,
( spl0_94
| ~ spl0_115
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f3408,f457,f528,f212]) ).
fof(f3414,plain,
( product(e_1,e_2,e_1)
| ~ spl0_84
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f426,f915]) ).
fof(f3415,plain,
( spl0_6
| ~ spl0_84
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f3414,f162,f425,f212]) ).
fof(f3429,plain,
( equalish(e_6,e_1)
| ~ spl0_138
| ~ spl0_28
| ~ spl0_206 ),
inference(resolution,[status(thm)],[f2918,f2275]) ).
fof(f3430,plain,
( $false
| ~ spl0_138
| ~ spl0_28
| ~ spl0_206 ),
inference(forward_subsumption_resolution,[status(thm)],[f3429,f117]) ).
fof(f3431,plain,
( ~ spl0_138
| ~ spl0_28
| ~ spl0_206 ),
inference(contradiction_clause,[status(thm)],[f3430]) ).
fof(f3435,plain,
( product(e_5,e_3,e_5)
| ~ spl0_28
| ~ spl0_103 ),
inference(resolution,[status(thm)],[f236,f1621]) ).
fof(f3436,plain,
( spl0_136
| ~ spl0_28
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f3435,f598,f235,f488]) ).
fof(f3439,plain,
( equalish(e_1,e_2)
| ~ spl0_28
| ~ spl0_34 ),
inference(resolution,[status(thm)],[f236,f1479]) ).
fof(f3440,plain,
( $false
| ~ spl0_28
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f3439,f92]) ).
fof(f3441,plain,
( ~ spl0_28
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f3440]) ).
fof(f3447,plain,
( product(e_5,e_2,e_6)
| ~ spl0_46
| ~ spl0_170 ),
inference(resolution,[status(thm)],[f297,f1930]) ).
fof(f3448,plain,
( spl0_143
| ~ spl0_46
| ~ spl0_170 ),
inference(split_clause,[status(thm)],[f3447,f621,f296,f712]) ).
fof(f3449,plain,
( product(e_5,e_2,e_4)
| ~ spl0_46
| ~ spl0_62 ),
inference(resolution,[status(thm)],[f297,f1220]) ).
fof(f3450,plain,
( spl0_141
| ~ spl0_46
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f3449,f615,f296,f350]) ).
fof(f3452,plain,
( equalish(e_1,e_2)
| ~ spl0_46
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f297,f1133]) ).
fof(f3453,plain,
( $false
| ~ spl0_46
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f3452,f92]) ).
fof(f3454,plain,
( ~ spl0_46
| ~ spl0_52 ),
inference(contradiction_clause,[status(thm)],[f3453]) ).
fof(f3456,plain,
( equalish(e_3,e_2)
| ~ spl0_88
| ~ spl0_82 ),
inference(resolution,[status(thm)],[f438,f2582]) ).
fof(f3457,plain,
( $false
| ~ spl0_88
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f3456,f103]) ).
fof(f3458,plain,
( ~ spl0_88
| ~ spl0_82 ),
inference(contradiction_clause,[status(thm)],[f3457]) ).
fof(f3465,plain,
( product(e_3,e_5,e_6)
| ~ spl0_98
| ~ spl0_153 ),
inference(resolution,[status(thm)],[f472,f2468]) ).
fof(f3466,plain,
( spl0_107
| ~ spl0_98
| ~ spl0_153 ),
inference(split_clause,[status(thm)],[f3465,f500,f471,f655]) ).
fof(f3475,plain,
( equalish(e_3,e_2)
| ~ spl0_138
| ~ spl0_132 ),
inference(resolution,[status(thm)],[f607,f2107]) ).
fof(f3476,plain,
( $false
| ~ spl0_138
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[status(thm)],[f3475,f103]) ).
fof(f3477,plain,
( ~ spl0_138
| ~ spl0_132 ),
inference(contradiction_clause,[status(thm)],[f3476]) ).
fof(f3491,plain,
( product(e_5,e_2,e_5)
| ~ spl0_111
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f1591,f438]) ).
fof(f3492,plain,
( spl0_142
| ~ spl0_111
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f3491,f618,f514,f437]) ).
fof(f3494,plain,
( product(e_2,e_4,e_2)
| ~ spl0_127
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f570,f1331]) ).
fof(f3495,plain,
( spl0_61
| ~ spl0_127
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f3494,f347,f569,f437]) ).
fof(f3496,plain,
( equalish(e_6,e_4)
| ~ spl0_127
| ~ spl0_151 ),
inference(resolution,[status(thm)],[f570,f2201]) ).
fof(f3497,plain,
( $false
| ~ spl0_127
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[status(thm)],[f3496,f120]) ).
fof(f3498,plain,
( ~ spl0_127
| ~ spl0_151 ),
inference(contradiction_clause,[status(thm)],[f3497]) ).
fof(f3500,plain,
( product(e_1,e_5,e_3)
| ~ spl0_137
| ~ spl0_186 ),
inference(resolution,[status(thm)],[f1821,f768]) ).
fof(f3501,plain,
( spl0_116
| ~ spl0_137
| ~ spl0_186 ),
inference(split_clause,[status(thm)],[f3500,f531,f601,f767]) ).
fof(f3502,plain,
( equalish(e_6,e_4)
| ~ spl0_208
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f2179,f438]) ).
fof(f3503,plain,
( $false
| ~ spl0_208
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f3502,f120]) ).
fof(f3504,plain,
( ~ spl0_208
| ~ spl0_88 ),
inference(contradiction_clause,[status(thm)],[f3503]) ).
fof(f3506,plain,
( equalish(e_3,e_6)
| ~ spl0_178
| ~ spl0_34 ),
inference(resolution,[status(thm)],[f739,f1480]) ).
fof(f3507,plain,
( $false
| ~ spl0_178
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f3506,f106]) ).
fof(f3508,plain,
( ~ spl0_178
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f3507]) ).
fof(f3509,plain,
( product(e_1,e_4,e_1)
| ~ spl0_60
| ~ spl0_91 ),
inference(resolution,[status(thm)],[f345,f2907]) ).
fof(f3510,plain,
( spl0_66
| ~ spl0_60
| ~ spl0_91 ),
inference(split_clause,[status(thm)],[f3509,f364,f344,f448]) ).
fof(f3518,plain,
( product(e_6,e_1,e_3)
| ~ spl0_95
| ~ spl0_33 ),
inference(resolution,[status(thm)],[f461,f973]) ).
fof(f3519,plain,
( product(e_3,e_1,e_4)
| ~ spl0_95
| ~ spl0_33
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f3518,f1144]) ).
fof(f3520,plain,
( spl0_51
| ~ spl0_95
| ~ spl0_33
| ~ spl0_71 ),
inference(split_clause,[status(thm)],[f3519,f313,f460,f252,f379]) ).
fof(f3539,plain,
( equalish(e_6,e_5)
| ~ spl0_128
| ~ spl0_194 ),
inference(resolution,[status(thm)],[f573,f2371]) ).
fof(f3540,plain,
( $false
| ~ spl0_128
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[status(thm)],[f3539,f121]) ).
fof(f3541,plain,
( ~ spl0_128
| ~ spl0_194 ),
inference(contradiction_clause,[status(thm)],[f3540]) ).
fof(f3542,plain,
( product(e_1,e_4,e_6)
| ~ spl0_157
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f2077,f345]) ).
fof(f3543,plain,
( equalish(e_3,e_4)
| ~ spl0_127
| ~ spl0_133 ),
inference(resolution,[status(thm)],[f570,f2111]) ).
fof(f3544,plain,
( $false
| ~ spl0_127
| ~ spl0_133 ),
inference(forward_subsumption_resolution,[status(thm)],[f3543,f104]) ).
fof(f3545,plain,
( ~ spl0_127
| ~ spl0_133 ),
inference(contradiction_clause,[status(thm)],[f3544]) ).
fof(f3557,plain,
( product(e_1,e_4,e_3)
| ~ spl0_79
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f1408,f345]) ).
fof(f3558,plain,
( spl0_68
| ~ spl0_79
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f3557,f370,f408,f344]) ).
fof(f3559,plain,
( equalish(e_4,e_5)
| ~ spl0_149
| ~ spl0_95 ),
inference(resolution,[status(thm)],[f642,f1269]) ).
fof(f3560,plain,
( $false
| ~ spl0_149
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f3559,f110]) ).
fof(f3561,plain,
( ~ spl0_149
| ~ spl0_95 ),
inference(contradiction_clause,[status(thm)],[f3560]) ).
fof(f3562,plain,
( product(e_5,e_2,e_1)
| ~ spl0_21
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f915,f438]) ).
fof(f3564,plain,
( product(e_1,e_2,e_4)
| ~ spl0_21
| ~ spl0_88
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f3562,f1190]) ).
fof(f3565,plain,
( spl0_9
| ~ spl0_21
| ~ spl0_88
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f3564,f171,f212,f437,f356]) ).
fof(f3567,plain,
( product(e_1,e_3,e_5)
| ~ spl0_24
| ~ spl0_103 ),
inference(resolution,[status(thm)],[f224,f1621]) ).
fof(f3568,plain,
( spl0_34
| ~ spl0_24
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f3567,f255,f223,f488]) ).
fof(f3570,plain,
( equalish(e_4,e_3)
| ~ spl0_24
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f224,f1205]) ).
fof(f3571,plain,
( $false
| ~ spl0_24
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f3570,f109]) ).
fof(f3572,plain,
( ~ spl0_24
| ~ spl0_60 ),
inference(contradiction_clause,[status(thm)],[f3571]) ).
fof(f3585,plain,
( equalish(e_6,e_3)
| ~ spl0_168
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f2047,f224]) ).
fof(f3586,plain,
( $false
| ~ spl0_168
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f3585,f119]) ).
fof(f3587,plain,
( ~ spl0_168
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f3586]) ).
fof(f3590,plain,
( equalish(e_5,e_3)
| ~ spl0_59
| ~ spl0_131 ),
inference(resolution,[status(thm)],[f340,f2144]) ).
fof(f3591,plain,
( $false
| ~ spl0_59
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[status(thm)],[f3590,f114]) ).
fof(f3592,plain,
( ~ spl0_59
| ~ spl0_131 ),
inference(contradiction_clause,[status(thm)],[f3591]) ).
fof(f3593,plain,
( equalish(e_4,e_3)
| ~ spl0_46
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f297,f1328]) ).
fof(f3594,plain,
( $false
| ~ spl0_46
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f3593,f109]) ).
fof(f3595,plain,
( ~ spl0_46
| ~ spl0_88 ),
inference(contradiction_clause,[status(thm)],[f3594]) ).
fof(f3608,plain,
( product(e_1,e_5,e_6)
| ~ spl0_96
| ~ spl0_153 ),
inference(resolution,[status(thm)],[f466,f2468]) ).
fof(f3609,plain,
( spl0_119
| ~ spl0_96
| ~ spl0_153 ),
inference(split_clause,[status(thm)],[f3608,f540,f465,f655]) ).
fof(f3610,plain,
( product(e_1,e_5,e_1)
| ~ spl0_96
| ~ spl0_147 ),
inference(resolution,[status(thm)],[f466,f1679]) ).
fof(f3611,plain,
( spl0_114
| ~ spl0_96
| ~ spl0_147 ),
inference(split_clause,[status(thm)],[f3610,f525,f465,f635]) ).
fof(f3626,plain,
( equalish(e_3,e_4)
| ~ spl0_207
| ~ spl0_206 ),
inference(resolution,[status(thm)],[f837,f2277]) ).
fof(f3627,plain,
( $false
| ~ spl0_207
| ~ spl0_206 ),
inference(forward_subsumption_resolution,[status(thm)],[f3626,f104]) ).
fof(f3628,plain,
( ~ spl0_207
| ~ spl0_206 ),
inference(contradiction_clause,[status(thm)],[f3627]) ).
fof(f3629,plain,
( product(e_4,e_2,e_5)
| ~ spl0_207
| ~ spl0_113 ),
inference(resolution,[status(thm)],[f837,f1512]) ).
fof(f3644,plain,
( product(e_1,e_4,e_1)
| ~ spl0_95
| ~ spl0_192 ),
inference(resolution,[status(thm)],[f1272,f788]) ).
fof(f3645,plain,
( spl0_66
| ~ spl0_95
| ~ spl0_192 ),
inference(split_clause,[status(thm)],[f3644,f364,f460,f787]) ).
fof(f3646,plain,
( $false
| ~ spl0_207
| ~ spl0_113
| spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f439,f3629]) ).
fof(f3647,plain,
( ~ spl0_207
| ~ spl0_113
| spl0_88 ),
inference(contradiction_clause,[status(thm)],[f3646]) ).
fof(f3648,plain,
( product(e_5,e_4,e_5)
| ~ spl0_64
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f357,f1672]) ).
fof(f3649,plain,
( spl0_130
| ~ spl0_64
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f3648,f578,f356,f468]) ).
fof(f3650,plain,
( product(e_5,e_4,e_6)
| ~ spl0_64
| ~ spl0_157 ),
inference(resolution,[status(thm)],[f357,f2077]) ).
fof(f3651,plain,
( spl0_131
| ~ spl0_64
| ~ spl0_157 ),
inference(split_clause,[status(thm)],[f3650,f581,f356,f669]) ).
fof(f3661,plain,
( equalish(e_1,e_5)
| ~ spl0_128
| ~ spl0_68 ),
inference(resolution,[status(thm)],[f573,f1157]) ).
fof(f3662,plain,
( $false
| ~ spl0_128
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f3661,f95]) ).
fof(f3663,plain,
( ~ spl0_128
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f3662]) ).
fof(f3664,plain,
( equalish(e_3,e_5)
| ~ spl0_127
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f570,f1525]) ).
fof(f3665,plain,
( $false
| ~ spl0_127
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f3664,f105]) ).
fof(f3666,plain,
( ~ spl0_127
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f3665]) ).
fof(f3672,plain,
( product(e_6,e_3,e_2)
| ~ spl0_83
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f421,f1086]) ).
fof(f3673,plain,
( spl0_199
| ~ spl0_83
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f3672,f810,f420,f293]) ).
fof(f3675,plain,
( equalish(e_5,e_3)
| ~ spl0_83
| ~ spl0_101 ),
inference(resolution,[status(thm)],[f421,f1726]) ).
fof(f3676,plain,
( $false
| ~ spl0_83
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f3675,f114]) ).
fof(f3677,plain,
( ~ spl0_83
| ~ spl0_101 ),
inference(contradiction_clause,[status(thm)],[f3676]) ).
fof(f3679,plain,
( equalish(e_2,e_4)
| ~ spl0_83
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f421,f990]) ).
fof(f3680,plain,
( $false
| ~ spl0_83
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f3679,f99]) ).
fof(f3681,plain,
( ~ spl0_83
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f3680]) ).
fof(f3682,plain,
( equalish(e_2,e_6)
| ~ spl0_157
| ~ spl0_60
| ~ spl0_67 ),
inference(resolution,[status(thm)],[f3542,f1252]) ).
fof(f3683,plain,
( $false
| ~ spl0_157
| ~ spl0_60
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f3682,f101]) ).
fof(f3684,plain,
( ~ spl0_157
| ~ spl0_60
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f3683]) ).
fof(f3686,plain,
( equalish(e_3,e_1)
| ~ spl0_23
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f219,f991]) ).
fof(f3687,plain,
( $false
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f3686,f102]) ).
fof(f3688,plain,
( ~ spl0_23
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f3687]) ).
fof(f3704,plain,
( equalish(e_5,e_6)
| ~ spl0_213
| ~ spl0_147 ),
inference(resolution,[status(thm)],[f857,f1676]) ).
fof(f3705,plain,
( $false
| ~ spl0_213
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[status(thm)],[f3704,f116]) ).
fof(f3706,plain,
( ~ spl0_213
| ~ spl0_147 ),
inference(contradiction_clause,[status(thm)],[f3705]) ).
fof(f3713,plain,
( product(e_5,e_3,e_4)
| ~ spl0_55
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f1528,f236]) ).
fof(f3714,plain,
( spl0_135
| ~ spl0_55
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f3713,f595,f327,f235]) ).
fof(f3718,plain,
! [X0] :
( ~ product(e_6,e_1,X0)
| product(X0,e_1,e_4)
| ~ spl0_157
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f3542,f131]) ).
fof(f3724,plain,
( equalish(e_1,e_2)
| ~ spl0_143
| ~ spl0_149 ),
inference(resolution,[status(thm)],[f622,f1651]) ).
fof(f3725,plain,
( $false
| ~ spl0_143
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[status(thm)],[f3724,f92]) ).
fof(f3726,plain,
( ~ spl0_143
| ~ spl0_149 ),
inference(contradiction_clause,[status(thm)],[f3725]) ).
fof(f3733,plain,
( product(e_6,e_1,e_6)
| ~ spl0_175
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f1907,f219]) ).
fof(f3734,plain,
( spl0_215
| ~ spl0_175
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f3733,f862,f729,f218]) ).
fof(f3735,plain,
( product(e_4,e_1,e_4)
| ~ spl0_157
| ~ spl0_60
| ~ spl0_213 ),
inference(resolution,[status(thm)],[f3718,f857]) ).
fof(f3736,plain,
( spl0_93
| ~ spl0_157
| ~ spl0_60
| ~ spl0_213 ),
inference(split_clause,[status(thm)],[f3735,f454,f669,f344,f856]) ).
fof(f3737,plain,
( product(e_3,e_1,e_3)
| ~ spl0_92
| ~ spl0_33 ),
inference(resolution,[status(thm)],[f452,f973]) ).
fof(f3738,plain,
( spl0_50
| ~ spl0_92
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f3737,f310,f451,f252]) ).
fof(f3748,plain,
( product(e_4,e_5,e_3)
| ~ spl0_111
| ~ spl0_133 ),
inference(resolution,[status(thm)],[f515,f2113]) ).
fof(f3749,plain,
( spl0_98
| ~ spl0_111
| ~ spl0_133 ),
inference(split_clause,[status(thm)],[f3748,f471,f514,f589]) ).
fof(f3751,plain,
( equalish(e_3,e_2)
| ~ spl0_111
| ~ spl0_105 ),
inference(resolution,[status(thm)],[f515,f1608]) ).
fof(f3752,plain,
( $false
| ~ spl0_111
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f3751,f103]) ).
fof(f3753,plain,
( ~ spl0_111
| ~ spl0_105 ),
inference(contradiction_clause,[status(thm)],[f3752]) ).
fof(f3762,plain,
( product(e_2,e_3,e_6)
| ~ spl0_79
| ~ spl0_165 ),
inference(resolution,[status(thm)],[f409,f2176]) ).
fof(f3763,plain,
( spl0_29
| ~ spl0_79
| ~ spl0_165 ),
inference(split_clause,[status(thm)],[f3762,f238,f408,f695]) ).
fof(f3770,plain,
( equalish(e_5,e_2)
| ~ spl0_207
| ~ spl0_189 ),
inference(resolution,[status(thm)],[f837,f2394]) ).
fof(f3771,plain,
( $false
| ~ spl0_207
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[status(thm)],[f3770,f113]) ).
fof(f3772,plain,
( ~ spl0_207
| ~ spl0_189 ),
inference(contradiction_clause,[status(thm)],[f3771]) ).
fof(f3773,plain,
( product(e_6,e_5,e_3)
| ~ spl0_101
| ~ spl0_135 ),
inference(resolution,[status(thm)],[f481,f1814]) ).
fof(f3773_004,plain,
( product(e_6,e_5,e_3)
| ~ spl0_101
| ~ spl0_135 ),
inference(resolution,[status(thm)],[f481,f1814]) ).
fof(f3774,plain,
( product(e_3,e_5,e_2)
| ~ spl0_101
| ~ spl0_135
| ~ spl0_143 ),
inference(resolution,[status(thm)],[f3773,f1732]) ).
fof(f3775,plain,
( spl0_103
| ~ spl0_101
| ~ spl0_135
| ~ spl0_143 ),
inference(split_clause,[status(thm)],[f3774,f488,f480,f595,f621]) ).
fof(f3784,plain,
( equalish(e_5,e_3)
| ~ spl0_24
| ~ spl0_108 ),
inference(resolution,[status(thm)],[f224,f1547]) ).
fof(f3785,plain,
( $false
| ~ spl0_24
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f3784,f114]) ).
fof(f3786,plain,
( ~ spl0_24
| ~ spl0_108 ),
inference(contradiction_clause,[status(thm)],[f3785]) ).
fof(f3793,plain,
( product(e_1,e_4,e_3)
| ~ spl0_83
| ~ spl0_192 ),
inference(resolution,[status(thm)],[f1716,f788]) ).
fof(f3794,plain,
( spl0_68
| ~ spl0_83
| ~ spl0_192 ),
inference(split_clause,[status(thm)],[f3793,f370,f420,f787]) ).
fof(f3795,plain,
( product(e_6,e_1,e_4)
| ~ spl0_23
| ~ spl0_67 ),
inference(resolution,[status(thm)],[f219,f1253]) ).
fof(f3796,plain,
( spl0_213
| ~ spl0_23
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f3795,f856,f218,f367]) ).
fof(f3797,plain,
( equalish(e_5,e_1)
| ~ spl0_113
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f1510,f219]) ).
fof(f3798,plain,
( $false
| ~ spl0_113
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f3797,f112]) ).
fof(f3799,plain,
( ~ spl0_113
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f3798]) ).
fof(f3805,plain,
( product(e_1,e_3,e_6)
| ~ spl0_24
| ~ spl0_163 ),
inference(resolution,[status(thm)],[f224,f1965]) ).
fof(f3806,plain,
( spl0_35
| ~ spl0_24
| ~ spl0_163 ),
inference(split_clause,[status(thm)],[f3805,f258,f223,f689]) ).
fof(f3808,plain,
( product(e_1,e_2,e_5)
| ~ spl0_111
| ~ spl0_84 ),
inference(resolution,[status(thm)],[f1591,f426]) ).
fof(f3809,plain,
( spl0_10
| ~ spl0_111
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f3808,f174,f514,f425]) ).
fof(f3814,plain,
( product(e_1,e_2,e_4)
| ~ spl0_138
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f607,f1190]) ).
fof(f3814_005,plain,
( product(e_1,e_2,e_4)
| ~ spl0_138
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f607,f1190]) ).
fof(f3822,plain,
( product(e_4,e_2,e_3)
| ~ spl0_138
| ~ spl0_64
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f3814,f1376]) ).
fof(f3823,plain,
( spl0_86
| ~ spl0_138
| ~ spl0_64
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f3822,f431,f606,f356,f223]) ).
fof(f3824,plain,
( equalish(e_6,e_1)
| ~ spl0_138
| ~ spl0_64
| ~ spl0_207 ),
inference(resolution,[status(thm)],[f3814,f2190]) ).
fof(f3825,plain,
( $false
| ~ spl0_138
| ~ spl0_64
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[status(thm)],[f3824,f117]) ).
fof(f3826,plain,
( ~ spl0_138
| ~ spl0_64
| ~ spl0_207 ),
inference(contradiction_clause,[status(thm)],[f3825]) ).
fof(f3827,plain,
( product(e_2,e_3,e_2)
| ~ spl0_79
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f409,f1086]) ).
fof(f3828,plain,
( spl0_25
| ~ spl0_79
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f3827,f226,f408,f293]) ).
fof(f3831,plain,
( equalish(e_6,e_4)
| ~ spl0_79
| ~ spl0_199 ),
inference(resolution,[status(thm)],[f409,f2298]) ).
fof(f3832,plain,
( $false
| ~ spl0_79
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[status(thm)],[f3831,f120]) ).
fof(f3833,plain,
( ~ spl0_79
| ~ spl0_199 ),
inference(contradiction_clause,[status(thm)],[f3832]) ).
fof(f3835,plain,
( product(e_5,e_6,e_2)
| ~ spl0_166
| ~ spl0_206 ),
inference(resolution,[status(thm)],[f699,f2278]) ).
fof(f3836,plain,
( spl0_151
| ~ spl0_166
| ~ spl0_206 ),
inference(split_clause,[status(thm)],[f3835,f649,f698,f833]) ).
fof(f3838,plain,
( equalish(e_4,e_3)
| ~ spl0_166
| ~ spl0_160 ),
inference(resolution,[status(thm)],[f699,f3085]) ).
fof(f3839,plain,
( $false
| ~ spl0_166
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[status(thm)],[f3838,f109]) ).
fof(f3840,plain,
( ~ spl0_166
| ~ spl0_160 ),
inference(contradiction_clause,[status(thm)],[f3839]) ).
fof(f3841,plain,
( product(e_1,e_5,e_1)
| ~ spl0_186
| ~ spl0_149 ),
inference(resolution,[status(thm)],[f768,f1653]) ).
fof(f3842,plain,
( spl0_114
| ~ spl0_186
| ~ spl0_149 ),
inference(split_clause,[status(thm)],[f3841,f525,f767,f641]) ).
fof(f3850,plain,
( spl0_188
| ~ spl0_101
| ~ spl0_135 ),
inference(split_clause,[status(thm)],[f3773,f773,f480,f595]) ).
fof(f3855,plain,
( equalish(e_2,e_4)
| ~ spl0_160
| ~ spl0_172 ),
inference(resolution,[status(thm)],[f679,f1911]) ).
fof(f3856,plain,
( $false
| ~ spl0_160
| ~ spl0_172 ),
inference(forward_subsumption_resolution,[status(thm)],[f3855,f99]) ).
fof(f3857,plain,
( ~ spl0_160
| ~ spl0_172 ),
inference(contradiction_clause,[status(thm)],[f3856]) ).
fof(f3868,plain,
( equalish(e_2,e_5)
| ~ spl0_204
| ~ spl0_186 ),
inference(resolution,[status(thm)],[f2269,f768]) ).
fof(f3869,plain,
( $false
| ~ spl0_204
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[status(thm)],[f3868,f100]) ).
fof(f3870,plain,
( ~ spl0_204
| ~ spl0_186 ),
inference(contradiction_clause,[status(thm)],[f3869]) ).
fof(f3871,plain,
( product(e_1,e_5,e_2)
| ~ spl0_143
| ~ spl0_186 ),
inference(resolution,[status(thm)],[f1732,f768]) ).
fof(f3872,plain,
( product(e_2,e_5,e_6)
| ~ spl0_143
| ~ spl0_186
| ~ spl0_150 ),
inference(resolution,[status(thm)],[f3871,f2042]) ).
fof(f3873,plain,
( spl0_113
| ~ spl0_143
| ~ spl0_186
| ~ spl0_150 ),
inference(split_clause,[status(thm)],[f3872,f520,f621,f767,f646]) ).
fof(f3878,plain,
( $false
| ~ spl0_143
| ~ spl0_186
| spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f530,f3871]) ).
fof(f3879,plain,
( ~ spl0_143
| ~ spl0_186
| spl0_115 ),
inference(contradiction_clause,[status(thm)],[f3878]) ).
fof(f3889,plain,
( equalish(e_3,e_5)
| ~ spl0_198
| ~ spl0_186 ),
inference(resolution,[status(thm)],[f2303,f768]) ).
fof(f3890,plain,
( $false
| ~ spl0_198
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[status(thm)],[f3889,f105]) ).
fof(f3891,plain,
( ~ spl0_198
| ~ spl0_186 ),
inference(contradiction_clause,[status(thm)],[f3890]) ).
fof(f3893,plain,
( equalish(e_4,e_5)
| ~ spl0_23
| ~ spl0_115
| ~ spl0_213 ),
inference(resolution,[status(thm)],[f2593,f2188]) ).
fof(f3894,plain,
( $false
| ~ spl0_23
| ~ spl0_115
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[status(thm)],[f3893,f110]) ).
fof(f3895,plain,
( ~ spl0_23
| ~ spl0_115
| ~ spl0_213 ),
inference(contradiction_clause,[status(thm)],[f3894]) ).
fof(f3896,plain,
( product(e_1,e_5,e_4)
| ~ spl0_131
| ~ spl0_186 ),
inference(resolution,[status(thm)],[f2147,f768]) ).
fof(f3897,plain,
( spl0_117
| ~ spl0_131
| ~ spl0_186 ),
inference(split_clause,[status(thm)],[f3896,f534,f581,f767]) ).
fof(f3898,plain,
( product(e_2,e_1,e_4)
| ~ spl0_49
| ~ spl0_68 ),
inference(resolution,[status(thm)],[f308,f1160]) ).
fof(f3899,plain,
( spl0_21
| ~ spl0_49
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f3898,f212,f307,f370]) ).
fof(f3901,plain,
( equalish(e_4,e_1)
| ~ spl0_49
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f308,f1526]) ).
fof(f3902,plain,
( $false
| ~ spl0_49
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f3901,f107]) ).
fof(f3903,plain,
( ~ spl0_49
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f3902]) ).
fof(f3904,plain,
( product(e_6,e_4,e_2)
| ~ spl0_157
| ~ spl0_60
| ~ spl0_84 ),
inference(resolution,[status(thm)],[f3542,f1712]) ).
fof(f3905,plain,
( spl0_193
| ~ spl0_157
| ~ spl0_60
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f3904,f790,f669,f344,f425]) ).
fof(f3906,plain,
( product(e_3,e_2,e_5)
| ~ spl0_143
| ~ spl0_28
| ~ spl0_113 ),
inference(resolution,[status(thm)],[f3401,f1512]) ).
fof(f3907,plain,
( spl0_46
| ~ spl0_143
| ~ spl0_28
| ~ spl0_113 ),
inference(split_clause,[status(thm)],[f3906,f296,f621,f235,f520]) ).
fof(f3908,plain,
( product(e_4,e_5,e_6)
| ~ spl0_111
| ~ spl0_151 ),
inference(resolution,[status(thm)],[f515,f2203]) ).
fof(f3909,plain,
( spl0_101
| ~ spl0_111
| ~ spl0_151 ),
inference(split_clause,[status(thm)],[f3908,f480,f514,f649]) ).
fof(f3910,plain,
( product(e_5,e_1,e_3)
| ~ spl0_23
| ~ spl0_115
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f2593,f963]) ).
fof(f3911,plain,
( spl0_146
| ~ spl0_23
| ~ spl0_115
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f3910,f632,f218,f528,f258]) ).
fof(f3915,plain,
( equalish(e_6,e_4)
| ~ spl0_60
| ~ spl0_168 ),
inference(resolution,[status(thm)],[f345,f2047]) ).
fof(f3916,plain,
( $false
| ~ spl0_60
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[status(thm)],[f3915,f120]) ).
fof(f3917,plain,
( ~ spl0_60
| ~ spl0_168 ),
inference(contradiction_clause,[status(thm)],[f3916]) ).
fof(f3925,plain,
( product(e_6,e_3,e_6)
| ~ spl0_162
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f2295,f259]) ).
fof(f3926,plain,
( spl0_203
| ~ spl0_162
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f3925,f822,f686,f258]) ).
fof(f3944,plain,
( equalish(e_3,e_6)
| ~ spl0_52
| ~ spl0_23
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f1132,f2593]) ).
fof(f3945,plain,
( $false
| ~ spl0_52
| ~ spl0_23
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f3944,f106]) ).
fof(f3946,plain,
( ~ spl0_52
| ~ spl0_23
| ~ spl0_115 ),
inference(contradiction_clause,[status(thm)],[f3945]) ).
fof(f3947,plain,
( equalish(e_5,e_3)
| ~ spl0_119
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1460,f259]) ).
fof(f3948,plain,
( $false
| ~ spl0_119
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f3947,f114]) ).
fof(f3949,plain,
( ~ spl0_119
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f3948]) ).
fof(f3951,plain,
( equalish(e_3,e_2)
| ~ spl0_84
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f426,f1410]) ).
fof(f3952,plain,
( $false
| ~ spl0_84
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f3951,f103]) ).
fof(f3953,plain,
( ~ spl0_84
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f3952]) ).
fof(f3969,plain,
( equalish(e_1,e_5)
| ~ spl0_143
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f622,f873]) ).
fof(f3970,plain,
( $false
| ~ spl0_143
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f3969,f95]) ).
fof(f3971,plain,
( ~ spl0_143
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f3970]) ).
fof(f3977,plain,
( product(e_1,e_2,e_6)
| ~ spl0_171
| ~ spl0_84 ),
inference(resolution,[status(thm)],[f2026,f426]) ).
fof(f3978,plain,
( spl0_11
| ~ spl0_171
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f3977,f177,f715,f425]) ).
fof(f3979,plain,
( product(e_1,e_2,e_3)
| ~ spl0_84
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f426,f1004]) ).
fof(f3980,plain,
( equalish(e_3,e_5)
| ~ spl0_143
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f622,f1070]) ).
fof(f3981,plain,
( $false
| ~ spl0_143
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f3980,f105]) ).
fof(f3982,plain,
( ~ spl0_143
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f3981]) ).
fof(f3995,plain,
( product(e_3,e_1,e_6)
| ~ spl0_146
| ~ spl0_178 ),
inference(resolution,[status(thm)],[f633,f2140]) ).
fof(f3996,plain,
( spl0_53
| ~ spl0_146
| ~ spl0_178 ),
inference(split_clause,[status(thm)],[f3995,f319,f632,f738]) ).
fof(f4005,plain,
( product(e_2,e_1,e_5)
| ~ spl0_91
| ~ spl0_117 ),
inference(resolution,[status(thm)],[f449,f1478]) ).
fof(f4006,plain,
( spl0_22
| ~ spl0_91
| ~ spl0_117 ),
inference(split_clause,[status(thm)],[f4005,f215,f448,f534]) ).
fof(f4009,plain,
( equalish(e_6,e_4)
| ~ spl0_91
| ~ spl0_211 ),
inference(resolution,[status(thm)],[f449,f2102]) ).
fof(f4010,plain,
( $false
| ~ spl0_91
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[status(thm)],[f4009,f120]) ).
fof(f4011,plain,
( ~ spl0_91
| ~ spl0_211 ),
inference(contradiction_clause,[status(thm)],[f4010]) ).
fof(f4019,plain,
( equalish(e_5,e_3)
| ~ spl0_49
| ~ spl0_145 ),
inference(resolution,[status(thm)],[f308,f1684]) ).
fof(f4020,plain,
( $false
| ~ spl0_49
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[status(thm)],[f4019,f114]) ).
fof(f4021,plain,
( ~ spl0_49
| ~ spl0_145 ),
inference(contradiction_clause,[status(thm)],[f4020]) ).
fof(f4022,plain,
( product(e_4,e_1,e_3)
| ~ spl0_31
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f983,f213]) ).
fof(f4030,plain,
( equalish(e_5,e_1)
| ~ spl0_98
| ~ spl0_31
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f1633,f4022]) ).
fof(f4031,plain,
( $false
| ~ spl0_98
| ~ spl0_31
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f4030,f112]) ).
fof(f4032,plain,
( ~ spl0_98
| ~ spl0_31
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f4031]) ).
fof(f4033,plain,
( product(e_1,e_4,e_2)
| ~ spl0_192
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f788,f1317]) ).
fof(f4034,plain,
( product(e_2,e_4,e_3)
| ~ spl0_192
| ~ spl0_89
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f4033,f1412]) ).
fof(f4035,plain,
( spl0_62
| ~ spl0_192
| ~ spl0_89
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f4034,f350,f787,f440,f405]) ).
fof(f4037,plain,
( product(e_1,e_3,e_4)
| ~ spl0_198
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f808,f1327]) ).
fof(f4038,plain,
( spl0_33
| ~ spl0_198
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f4037,f252,f807,f339]) ).
fof(f4041,plain,
( equalish(e_4,e_6)
| ~ spl0_198
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f808,f1409]) ).
fof(f4042,plain,
( $false
| ~ spl0_198
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f4041,f111]) ).
fof(f4043,plain,
( ~ spl0_198
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f4042]) ).
fof(f4050,plain,
( product(e_5,e_6,e_5)
| ~ spl0_160
| ~ spl0_189 ),
inference(resolution,[status(thm)],[f679,f2396]) ).
fof(f4051,plain,
( spl0_154
| ~ spl0_160
| ~ spl0_189 ),
inference(split_clause,[status(thm)],[f4050,f658,f678,f776]) ).
fof(f4053,plain,
( equalish(e_2,e_6)
| ~ spl0_160
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f679,f1329]) ).
fof(f4054,plain,
( $false
| ~ spl0_160
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f4053,f101]) ).
fof(f4055,plain,
( ~ spl0_160
| ~ spl0_88 ),
inference(contradiction_clause,[status(thm)],[f4054]) ).
fof(f4056,plain,
( product(e_1,e_4,e_2)
| ~ spl0_126
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f567,f1331]) ).
fof(f4057,plain,
( spl0_67
| ~ spl0_126
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f4056,f367,f566,f437]) ).
fof(f4065,plain,
( equalish(e_6,e_4)
| ~ spl0_150
| ~ spl0_126 ),
inference(resolution,[status(thm)],[f2040,f567]) ).
fof(f4066,plain,
( $false
| ~ spl0_150
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f4065,f120]) ).
fof(f4067,plain,
( ~ spl0_150
| ~ spl0_126 ),
inference(contradiction_clause,[status(thm)],[f4066]) ).
fof(f4073,plain,
( product(e_1,e_3,e_5)
| ~ spl0_198
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f808,f1556]) ).
fof(f4074,plain,
( spl0_34
| ~ spl0_198
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f4073,f255,f807,f500]) ).
fof(f4081,plain,
( product(e_1,e_4,e_6)
| ~ spl0_160
| ~ spl0_126 ),
inference(resolution,[status(thm)],[f3088,f567]) ).
fof(f4082,plain,
( spl0_71
| ~ spl0_160
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f4081,f379,f678,f566]) ).
fof(f4083,plain,
( equalish(e_3,e_6)
| ~ spl0_187
| ~ spl0_103 ),
inference(resolution,[status(thm)],[f771,f1618]) ).
fof(f4084,plain,
( $false
| ~ spl0_187
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f4083,f106]) ).
fof(f4085,plain,
( ~ spl0_187
| ~ spl0_103 ),
inference(contradiction_clause,[status(thm)],[f4084]) ).
fof(f4086,plain,
( product(e_5,e_4,e_1)
| ~ spl0_91
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f2907,f357]) ).
fof(f4087,plain,
( spl0_126
| ~ spl0_91
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f4086,f566,f448,f356]) ).
fof(f4088,plain,
( spl0_9
| ~ spl0_138
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f3814,f171,f606,f356]) ).
fof(f4099,plain,
( product(e_1,e_6,e_5)
| ~ spl0_162
| ~ spl0_188 ),
inference(resolution,[status(thm)],[f687,f2408]) ).
fof(f4100,plain,
( spl0_178
| ~ spl0_162
| ~ spl0_188 ),
inference(split_clause,[status(thm)],[f4099,f738,f686,f773]) ).
fof(f4101,plain,
( product(e_1,e_6,e_2)
| ~ spl0_162
| ~ spl0_206 ),
inference(resolution,[status(thm)],[f687,f2278]) ).
fof(f4102,plain,
( spl0_175
| ~ spl0_162
| ~ spl0_206 ),
inference(split_clause,[status(thm)],[f4101,f729,f686,f833]) ).
fof(f4105,plain,
( equalish(e_5,e_3)
| ~ spl0_162
| ~ spl0_150 ),
inference(resolution,[status(thm)],[f687,f2039]) ).
fof(f4106,plain,
( $false
| ~ spl0_162
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[status(thm)],[f4105,f114]) ).
fof(f4107,plain,
( ~ spl0_162
| ~ spl0_150 ),
inference(contradiction_clause,[status(thm)],[f4106]) ).
fof(f4113,plain,
( product(e_1,e_6,e_1)
| ~ spl0_212
| ~ spl0_162 ),
inference(resolution,[status(thm)],[f2097,f687]) ).
fof(f4114,plain,
( spl0_174
| ~ spl0_212
| ~ spl0_162 ),
inference(split_clause,[status(thm)],[f4113,f726,f853,f686]) ).
fof(f4115,plain,
( product(e_3,e_1,e_3)
| ~ spl0_20
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f210,f983]) ).
fof(f4116,plain,
( spl0_50
| ~ spl0_20
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f4115,f310,f209,f246]) ).
fof(f4117,plain,
( product(e_3,e_1,e_5)
| ~ spl0_20
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f210,f1495]) ).
fof(f4118,plain,
( spl0_52
| ~ spl0_20
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f4117,f316,f209,f528]) ).
fof(f4120,plain,
( equalish(e_6,e_1)
| ~ spl0_20
| ~ spl0_170 ),
inference(resolution,[status(thm)],[f210,f1928]) ).
fof(f4121,plain,
( $false
| ~ spl0_20
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[status(thm)],[f4120,f117]) ).
fof(f4122,plain,
( ~ spl0_20
| ~ spl0_170 ),
inference(contradiction_clause,[status(thm)],[f4121]) ).
fof(f4124,plain,
( equalish(e_6,e_1)
| ~ spl0_147
| ~ spl0_153 ),
inference(resolution,[status(thm)],[f636,f2466]) ).
fof(f4125,plain,
( $false
| ~ spl0_147
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[status(thm)],[f4124,f117]) ).
fof(f4126,plain,
( ~ spl0_147
| ~ spl0_153 ),
inference(contradiction_clause,[status(thm)],[f4125]) ).
fof(f4134,plain,
( product(e_6,e_5,e_2)
| ~ spl0_107
| ~ spl0_140 ),
inference(resolution,[status(thm)],[f501,f1750]) ).
fof(f4135,plain,
( spl0_187
| ~ spl0_107
| ~ spl0_140 ),
inference(split_clause,[status(thm)],[f4134,f770,f500,f612]) ).
fof(f4137,plain,
( equalish(e_4,e_5)
| ~ spl0_107
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f501,f1325]) ).
fof(f4138,plain,
( $false
| ~ spl0_107
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f4137,f110]) ).
fof(f4139,plain,
( ~ spl0_107
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f4138]) ).
fof(f4141,plain,
( equalish(e_1,e_4)
| ~ spl0_196
| ~ spl0_214 ),
inference(resolution,[status(thm)],[f800,f3063]) ).
fof(f4142,plain,
( $false
| ~ spl0_196
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[status(thm)],[f4141,f94]) ).
fof(f4143,plain,
( ~ spl0_196
| ~ spl0_214 ),
inference(contradiction_clause,[status(thm)],[f4142]) ).
fof(f4158,plain,
( equalish(e_2,e_5)
| ~ spl0_214
| ~ spl0_211 ),
inference(resolution,[status(thm)],[f860,f2104]) ).
fof(f4159,plain,
( $false
| ~ spl0_214
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[status(thm)],[f4158,f100]) ).
fof(f4160,plain,
( ~ spl0_214
| ~ spl0_211 ),
inference(contradiction_clause,[status(thm)],[f4159]) ).
fof(f4161,plain,
( product(e_5,e_1,e_3)
| ~ spl0_214
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f860,f963]) ).
fof(f4162,plain,
( spl0_146
| ~ spl0_214
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f4161,f632,f859,f258]) ).
fof(f4164,plain,
( equalish(e_3,e_1)
| ~ spl0_214
| ~ spl0_202 ),
inference(resolution,[status(thm)],[f860,f2322]) ).
fof(f4165,plain,
( $false
| ~ spl0_214
| ~ spl0_202 ),
inference(forward_subsumption_resolution,[status(thm)],[f4164,f102]) ).
fof(f4166,plain,
( ~ spl0_214
| ~ spl0_202 ),
inference(contradiction_clause,[status(thm)],[f4165]) ).
fof(f4167,plain,
( product(e_3,e_2,e_5)
| ~ spl0_206
| ~ spl0_113 ),
inference(resolution,[status(thm)],[f834,f1512]) ).
fof(f4168,plain,
( spl0_46
| ~ spl0_206
| ~ spl0_113 ),
inference(split_clause,[status(thm)],[f4167,f296,f833,f520]) ).
fof(f4169,plain,
( product(e_3,e_2,e_3)
| ~ spl0_206
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f834,f993]) ).
fof(f4170,plain,
( spl0_44
| ~ spl0_206
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f4169,f290,f833,f238]) ).
fof(f4172,plain,
( equalish(e_5,e_2)
| ~ spl0_206
| ~ spl0_188 ),
inference(resolution,[status(thm)],[f834,f2406]) ).
fof(f4173,plain,
( $false
| ~ spl0_206
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[status(thm)],[f4172,f113]) ).
fof(f4174,plain,
( ~ spl0_206
| ~ spl0_188 ),
inference(contradiction_clause,[status(thm)],[f4173]) ).
fof(f4188,plain,
( product(e_4,e_1,e_3)
| ~ spl0_34
| ~ spl0_147 ),
inference(resolution,[status(thm)],[f1482,f636]) ).
fof(f4189,plain,
( spl0_92
| ~ spl0_34
| ~ spl0_147 ),
inference(split_clause,[status(thm)],[f4188,f451,f255,f635]) ).
fof(f4207,plain,
( product(e_3,e_5,e_2)
| ~ spl0_116
| ~ spl0_138 ),
inference(resolution,[status(thm)],[f532,f1766]) ).
fof(f4208,plain,
( spl0_103
| ~ spl0_116
| ~ spl0_138 ),
inference(split_clause,[status(thm)],[f4207,f488,f531,f606]) ).
fof(f4210,plain,
( equalish(e_4,e_5)
| ~ spl0_116
| ~ spl0_68 ),
inference(resolution,[status(thm)],[f532,f1158]) ).
fof(f4211,plain,
( $false
| ~ spl0_116
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f4210,f110]) ).
fof(f4212,plain,
( ~ spl0_116
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f4211]) ).
fof(f4214,plain,
( equalish(e_4,e_1)
| ~ spl0_116
| ~ spl0_98 ),
inference(resolution,[status(thm)],[f532,f1632]) ).
fof(f4215,plain,
( $false
| ~ spl0_116
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[status(thm)],[f4214,f107]) ).
fof(f4216,plain,
( ~ spl0_116
| ~ spl0_98 ),
inference(contradiction_clause,[status(thm)],[f4215]) ).
fof(f4227,plain,
( product(e_3,e_5,e_4)
| ~ spl0_126
| ~ spl0_116 ),
inference(resolution,[status(thm)],[f2577,f532]) ).
fof(f4228,plain,
( spl0_105
| ~ spl0_126
| ~ spl0_116 ),
inference(split_clause,[status(thm)],[f4227,f494,f566,f531]) ).
fof(f4235,plain,
( product(e_4,e_6,e_5)
| ~ spl0_171
| ~ spl0_187 ),
inference(resolution,[status(thm)],[f716,f2472]) ).
fof(f4236,plain,
( spl0_160
| ~ spl0_171
| ~ spl0_187 ),
inference(split_clause,[status(thm)],[f4235,f678,f715,f770]) ).
fof(f4258,plain,
( product(e_5,e_6,e_5)
| ~ spl0_166
| ~ spl0_188 ),
inference(resolution,[status(thm)],[f699,f2408]) ).
fof(f4259,plain,
( spl0_154
| ~ spl0_166
| ~ spl0_188 ),
inference(split_clause,[status(thm)],[f4258,f658,f698,f773]) ).
fof(f4261,plain,
( equalish(e_4,e_6)
| ~ spl0_166
| ~ spl0_58 ),
inference(resolution,[status(thm)],[f699,f2131]) ).
fof(f4262,plain,
( $false
| ~ spl0_166
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f4261,f111]) ).
fof(f4263,plain,
( ~ spl0_166
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f4262]) ).
fof(f4270,plain,
( equalish(e_1,e_6)
| ~ spl0_52
| ~ spl0_166 ),
inference(resolution,[status(thm)],[f1133,f699]) ).
fof(f4271,plain,
( $false
| ~ spl0_52
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[status(thm)],[f4270,f96]) ).
fof(f4272,plain,
( ~ spl0_52
| ~ spl0_166 ),
inference(contradiction_clause,[status(thm)],[f4271]) ).
fof(f4273,plain,
( equalish(e_3,e_6)
| ~ spl0_214
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f860,f1132]) ).
fof(f4274,plain,
( $false
| ~ spl0_214
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f4273,f106]) ).
fof(f4275,plain,
( ~ spl0_214
| ~ spl0_52 ),
inference(contradiction_clause,[status(thm)],[f4274]) ).
fof(f4277,plain,
( product(e_1,e_6,e_1)
| ~ spl0_156
| ~ spl0_213 ),
inference(resolution,[status(thm)],[f667,f2189]) ).
fof(f4278,plain,
( spl0_174
| ~ spl0_156
| ~ spl0_213 ),
inference(split_clause,[status(thm)],[f4277,f726,f666,f856]) ).
fof(f4286,plain,
( product(e_3,e_4,e_3)
| ~ spl0_62
| ~ spl0_79 ),
inference(resolution,[status(thm)],[f351,f1408]) ).
fof(f4287,plain,
( spl0_56
| ~ spl0_62
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f4286,f330,f350,f408]) ).
fof(f4289,plain,
( equalish(e_6,e_4)
| ~ spl0_62
| ~ spl0_170 ),
inference(resolution,[status(thm)],[f351,f1928]) ).
fof(f4290,plain,
( $false
| ~ spl0_62
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[status(thm)],[f4289,f120]) ).
fof(f4291,plain,
( ~ spl0_62
| ~ spl0_170 ),
inference(contradiction_clause,[status(thm)],[f4290]) ).
fof(f4293,plain,
( equalish(e_5,e_2)
| ~ spl0_47
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f300,f1554]) ).
fof(f4294,plain,
( $false
| ~ spl0_47
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[status(thm)],[f4293,f113]) ).
fof(f4295,plain,
( ~ spl0_47
| ~ spl0_107 ),
inference(contradiction_clause,[status(thm)],[f4294]) ).
fof(f4302,plain,
( product(e_6,e_2,e_5)
| ~ spl0_110
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f1535,f300]) ).
fof(f4303,plain,
( spl0_208
| ~ spl0_110
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f4302,f839,f511,f299]) ).
fof(f4305,plain,
( product(e_6,e_5,e_1)
| ~ spl0_101
| ~ spl0_147 ),
inference(resolution,[status(thm)],[f481,f1679]) ).
fof(f4306,plain,
( spl0_186
| ~ spl0_101
| ~ spl0_147 ),
inference(split_clause,[status(thm)],[f4305,f767,f480,f635]) ).
fof(f4309,plain,
( equalish(e_3,e_4)
| ~ spl0_101
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f481,f1553]) ).
fof(f4310,plain,
( $false
| ~ spl0_101
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[status(thm)],[f4309,f104]) ).
fof(f4311,plain,
( ~ spl0_101
| ~ spl0_107 ),
inference(contradiction_clause,[status(thm)],[f4310]) ).
fof(f4312,plain,
( product(e_6,e_4,e_5)
| ~ spl0_65
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f360,f1672]) ).
fof(f4313,plain,
( spl0_196
| ~ spl0_65
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f4312,f799,f359,f468]) ).
fof(f4315,plain,
( equalish(e_1,e_4)
| ~ spl0_65
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f360,f902]) ).
fof(f4316,plain,
( $false
| ~ spl0_65
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f4315,f94]) ).
fof(f4317,plain,
( ~ spl0_65
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f4316]) ).
fof(f4319,plain,
( equalish(e_1,e_2)
| ~ spl0_65
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f360,f1141]) ).
fof(f4320,plain,
( $false
| ~ spl0_65
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f4319,f92]) ).
fof(f4321,plain,
( ~ spl0_65
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f4320]) ).
fof(f4332,plain,
( product(e_6,e_4,e_3)
| ~ spl0_79
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f1408,f360]) ).
fof(f4332_006,plain,
( product(e_6,e_4,e_3)
| ~ spl0_79
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f1408,f360]) ).
fof(f4333,plain,
( product(e_3,e_4,e_1)
| ~ spl0_79
| ~ spl0_65
| ~ spl0_95 ),
inference(resolution,[status(thm)],[f4332,f1272]) ).
fof(f4334,plain,
( spl0_54
| ~ spl0_79
| ~ spl0_65
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f4333,f324,f408,f359,f460]) ).
fof(f4342,plain,
( equalish(e_2,e_3)
| ~ spl0_193
| ~ spl0_79
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f2428,f4332]) ).
fof(f4343,plain,
( $false
| ~ spl0_193
| ~ spl0_79
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f4342,f98]) ).
fof(f4344,plain,
( ~ spl0_193
| ~ spl0_79
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f4343]) ).
fof(f4345,plain,
( equalish(e_3,e_2)
| ~ spl0_59
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f1324,f360]) ).
fof(f4346,plain,
( $false
| ~ spl0_59
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f4345,f103]) ).
fof(f4347,plain,
( ~ spl0_59
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f4346]) ).
fof(f4348,plain,
( equalish(e_5,e_4)
| ~ spl0_113
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f1510,f360]) ).
fof(f4349,plain,
( $false
| ~ spl0_113
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f4348,f115]) ).
fof(f4350,plain,
( ~ spl0_113
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f4349]) ).
fof(f4351,plain,
( product(e_6,e_4,e_1)
| ~ spl0_91
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f2907,f360]) ).
fof(f4352,plain,
( spl0_192
| ~ spl0_91
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f4351,f787,f448,f359]) ).
fof(f4373,plain,
( equalish(e_6,e_3)
| ~ spl0_11
| ~ spl0_84
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f875,f3979]) ).
fof(f4374,plain,
( $false
| ~ spl0_11
| ~ spl0_84
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f4373,f119]) ).
fof(f4375,plain,
( ~ spl0_11
| ~ spl0_84
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f4374]) ).
fof(f4376,plain,
( product(e_4,e_2,e_6)
| ~ spl0_141
| ~ spl0_172 ),
inference(resolution,[status(thm)],[f616,f1914]) ).
fof(f4377,plain,
( spl0_89
| ~ spl0_141
| ~ spl0_172 ),
inference(split_clause,[status(thm)],[f4376,f440,f615,f718]) ).
fof(f4381,plain,
( product(e_1,e_2,e_1)
| ~ spl0_204
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f828,f904]) ).
fof(f4382,plain,
( spl0_6
| ~ spl0_204
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f4381,f162,f827,f218]) ).
fof(f4390,plain,
( product(e_1,e_2,e_5)
| ~ spl0_113
| ~ spl0_204 ),
inference(resolution,[status(thm)],[f1512,f828]) ).
fof(f4391,plain,
( spl0_10
| ~ spl0_113
| ~ spl0_204 ),
inference(split_clause,[status(thm)],[f4390,f174,f520,f827]) ).
fof(f4392,plain,
( equalish(e_1,e_4)
| ~ spl0_160
| ~ spl0_178 ),
inference(resolution,[status(thm)],[f679,f2137]) ).
fof(f4393,plain,
( $false
| ~ spl0_160
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[status(thm)],[f4392,f94]) ).
fof(f4394,plain,
( ~ spl0_160
| ~ spl0_178 ),
inference(contradiction_clause,[status(thm)],[f4393]) ).
fof(f4395,plain,
( product(e_1,e_2,e_4)
| ~ spl0_65
| ~ spl0_204 ),
inference(resolution,[status(thm)],[f1174,f828]) ).
fof(f4396,plain,
( spl0_9
| ~ spl0_65
| ~ spl0_204 ),
inference(split_clause,[status(thm)],[f4395,f171,f359,f827]) ).
fof(f4397,plain,
( product(e_4,e_2,e_4)
| ~ spl0_141
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f616,f1190]) ).
fof(f4398,plain,
( spl0_87
| ~ spl0_141
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f4397,f434,f615,f356]) ).
fof(f4400,plain,
( equalish(e_3,e_2)
| ~ spl0_141
| ~ spl0_135 ),
inference(resolution,[status(thm)],[f616,f1812]) ).
fof(f4401,plain,
( $false
| ~ spl0_141
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[status(thm)],[f4400,f103]) ).
fof(f4402,plain,
( ~ spl0_141
| ~ spl0_135 ),
inference(contradiction_clause,[status(thm)],[f4401]) ).
fof(f4404,plain,
( product(e_6,e_2,e_5)
| ~ spl0_11
| ~ spl0_108 ),
inference(resolution,[status(thm)],[f178,f1549]) ).
fof(f4405,plain,
( spl0_208
| ~ spl0_11
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f4404,f839,f177,f505]) ).
fof(f4406,plain,
( equalish(e_4,e_2)
| ~ spl0_11
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f178,f1142]) ).
fof(f4407,plain,
( $false
| ~ spl0_11
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f4406,f108]) ).
fof(f4408,plain,
( ~ spl0_11
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f4407]) ).
fof(f4409,plain,
( product(e_4,e_6,e_4)
| ~ spl0_165
| ~ spl0_194 ),
inference(resolution,[status(thm)],[f696,f2374]) ).
fof(f4410,plain,
( spl0_159
| ~ spl0_165
| ~ spl0_194 ),
inference(split_clause,[status(thm)],[f4409,f675,f695,f793]) ).
fof(f4412,plain,
( equalish(e_5,e_6)
| ~ spl0_165
| ~ spl0_105 ),
inference(resolution,[status(thm)],[f696,f1609]) ).
fof(f4413,plain,
( $false
| ~ spl0_165
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f4412,f116]) ).
fof(f4414,plain,
( ~ spl0_165
| ~ spl0_105 ),
inference(contradiction_clause,[status(thm)],[f4413]) ).
fof(f4421,plain,
( equalish(e_3,e_1)
| ~ spl0_175
| ~ spl0_163 ),
inference(resolution,[status(thm)],[f730,f1962]) ).
fof(f4422,plain,
( $false
| ~ spl0_175
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[status(thm)],[f4421,f102]) ).
fof(f4423,plain,
( ~ spl0_175
| ~ spl0_163 ),
inference(contradiction_clause,[status(thm)],[f4422]) ).
fof(f4425,plain,
( product(e_4,e_6,e_4)
| ~ spl0_171
| ~ spl0_193 ),
inference(resolution,[status(thm)],[f716,f2429]) ).
fof(f4426,plain,
( spl0_159
| ~ spl0_171
| ~ spl0_193 ),
inference(split_clause,[status(thm)],[f4425,f675,f715,f790]) ).
fof(f4427,plain,
( equalish(e_5,e_6)
| ~ spl0_171
| ~ spl0_111 ),
inference(resolution,[status(thm)],[f716,f1589]) ).
fof(f4428,plain,
( $false
| ~ spl0_171
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[status(thm)],[f4427,f116]) ).
fof(f4429,plain,
( ~ spl0_171
| ~ spl0_111 ),
inference(contradiction_clause,[status(thm)],[f4428]) ).
fof(f4431,plain,
( equalish(e_5,e_2)
| ~ spl0_11
| ~ spl0_119 ),
inference(resolution,[status(thm)],[f178,f1460]) ).
fof(f4432,plain,
( $false
| ~ spl0_11
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[status(thm)],[f4431,f113]) ).
fof(f4433,plain,
( ~ spl0_11
| ~ spl0_119 ),
inference(contradiction_clause,[status(thm)],[f4432]) ).
fof(f4449,plain,
( equalish(e_2,e_3)
| ~ spl0_54
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f325,f1204]) ).
fof(f4450,plain,
( $false
| ~ spl0_54
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f4449,f98]) ).
fof(f4451,plain,
( ~ spl0_54
| ~ spl0_60 ),
inference(contradiction_clause,[status(thm)],[f4450]) ).
fof(f4464,plain,
( product(e_4,e_6,e_2)
| ~ spl0_165
| ~ spl0_206 ),
inference(resolution,[status(thm)],[f696,f2278]) ).
fof(f4465,plain,
( spl0_157
| ~ spl0_165
| ~ spl0_206 ),
inference(split_clause,[status(thm)],[f4464,f669,f695,f833]) ).
fof(f4466,plain,
( product(e_6,e_4,e_5)
| ~ spl0_98
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f1635,f340]) ).
fof(f4467,plain,
( spl0_196
| ~ spl0_98
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f4466,f799,f471,f339]) ).
fof(f4483,plain,
( product(e_2,e_6,e_3)
| ~ spl0_151
| ~ spl0_202 ),
inference(resolution,[status(thm)],[f650,f2324]) ).
fof(f4484,plain,
( spl0_170
| ~ spl0_151
| ~ spl0_202 ),
inference(split_clause,[status(thm)],[f4483,f712,f649,f819]) ).
fof(f4486,plain,
( equalish(e_3,e_6)
| ~ spl0_151
| ~ spl0_133 ),
inference(resolution,[status(thm)],[f650,f2111]) ).
fof(f4487,plain,
( $false
| ~ spl0_151
| ~ spl0_133 ),
inference(forward_subsumption_resolution,[status(thm)],[f4486,f106]) ).
fof(f4488,plain,
( ~ spl0_151
| ~ spl0_133 ),
inference(contradiction_clause,[status(thm)],[f4487]) ).
fof(f4489,plain,
( product(e_4,e_5,e_4)
| ~ spl0_117
| ~ spl0_126 ),
inference(resolution,[status(thm)],[f535,f2577]) ).
fof(f4490,plain,
( spl0_99
| ~ spl0_117
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f4489,f474,f534,f566]) ).
fof(f4492,plain,
( equalish(e_2,e_5)
| ~ spl0_117
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f535,f884]) ).
fof(f4493,plain,
( $false
| ~ spl0_117
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f4492,f100]) ).
fof(f4494,plain,
( ~ spl0_117
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f4493]) ).
fof(f4501,plain,
( equalish(e_1,e_2)
| ~ spl0_171
| ~ spl0_177 ),
inference(resolution,[status(thm)],[f716,f1877]) ).
fof(f4502,plain,
( $false
| ~ spl0_171
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[status(thm)],[f4501,f92]) ).
fof(f4503,plain,
( ~ spl0_171
| ~ spl0_177 ),
inference(contradiction_clause,[status(thm)],[f4502]) ).
fof(f4504,plain,
( product(e_6,e_3,e_5)
| ~ spl0_35
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f259,f1601]) ).
fof(f4504_007,plain,
( product(e_6,e_3,e_5)
| ~ spl0_35
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f259,f1601]) ).
fof(f4511,plain,
( product(e_5,e_3,e_2)
| ~ spl0_35
| ~ spl0_102
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f4504,f1073]) ).
fof(f4512,plain,
( spl0_133
| ~ spl0_35
| ~ spl0_102
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f4511,f589,f258,f485,f299]) ).
fof(f4514,plain,
( equalish(e_5,e_3)
| ~ spl0_84
| ~ spl0_27
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f3979,f953]) ).
fof(f4515,plain,
( $false
| ~ spl0_84
| ~ spl0_27
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f4514,f114]) ).
fof(f4516,plain,
( ~ spl0_84
| ~ spl0_27
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f4515]) ).
fof(f4517,plain,
( equalish(e_2,e_1)
| ~ spl0_29
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f990,f259]) ).
fof(f4518,plain,
( $false
| ~ spl0_29
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f4517,f97]) ).
fof(f4519,plain,
( ~ spl0_29
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f4518]) ).
fof(f4523,plain,
( equalish(e_1,e_2)
| ~ spl0_47
| ~ spl0_53 ),
inference(resolution,[status(thm)],[f300,f1039]) ).
fof(f4524,plain,
( $false
| ~ spl0_47
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f4523,f92]) ).
fof(f4525,plain,
( ~ spl0_47
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f4524]) ).
fof(f4536,plain,
( product(e_6,e_2,e_6)
| ~ spl0_170
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f1930,f300]) ).
fof(f4537,plain,
( spl0_209
| ~ spl0_170
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f4536,f842,f712,f299]) ).
fof(f4538,plain,
( equalish(e_3,e_1)
| ~ spl0_11
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f178,f1070]) ).
fof(f4539,plain,
( $false
| ~ spl0_11
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f4538,f102]) ).
fof(f4540,plain,
( ~ spl0_11
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f4539]) ).
fof(f4546,plain,
( product(e_1,e_3,e_2)
| ~ spl0_132
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f587,f1385]) ).
fof(f4547,plain,
( spl0_31
| ~ spl0_132
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f4546,f246,f586,f296]) ).
fof(f4549,plain,
( equalish(e_6,e_3)
| ~ spl0_132
| ~ spl0_150 ),
inference(resolution,[status(thm)],[f587,f2040]) ).
fof(f4550,plain,
( $false
| ~ spl0_132
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[status(thm)],[f4549,f119]) ).
fof(f4551,plain,
( ~ spl0_132
| ~ spl0_150 ),
inference(contradiction_clause,[status(thm)],[f4550]) ).
fof(f4552,plain,
( equalish(e_3,e_2)
| ~ spl0_11
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f178,f961]) ).
fof(f4553,plain,
( $false
| ~ spl0_11
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f4552,f103]) ).
fof(f4554,plain,
( ~ spl0_11
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f4553]) ).
fof(f4555,plain,
( product(e_5,e_1,e_4)
| ~ spl0_22
| ~ spl0_67 ),
inference(resolution,[status(thm)],[f216,f1253]) ).
fof(f4556,plain,
( spl0_147
| ~ spl0_22
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f4555,f635,f215,f367]) ).
fof(f4566,plain,
( product(e_3,e_4,e_5)
| ~ spl0_79
| ~ spl0_65
| ~ spl0_101 ),
inference(resolution,[status(thm)],[f4332,f1728]) ).
fof(f4567,plain,
( spl0_58
| ~ spl0_79
| ~ spl0_65
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f4566,f336,f408,f359,f480]) ).
fof(f4568,plain,
( spl0_194
| ~ spl0_79
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f4332,f793,f408,f359]) ).
fof(f4576,plain,
( equalish(e_3,e_2)
| ~ spl0_52
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f1132,f216]) ).
fof(f4577,plain,
( $false
| ~ spl0_52
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f4576,f103]) ).
fof(f4578,plain,
( ~ spl0_52
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f4577]) ).
fof(f4579,plain,
( product(e_3,e_1,e_4)
| ~ spl0_146
| ~ spl0_70 ),
inference(resolution,[status(thm)],[f633,f1260]) ).
fof(f4580,plain,
( product(e_5,e_1,e_6)
| ~ spl0_175
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f1907,f216]) ).
fof(f4581,plain,
( spl0_149
| ~ spl0_175
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f4580,f641,f729,f215]) ).
fof(f4582,plain,
( product(e_1,e_4,e_2)
| ~ spl0_54
| ~ spl0_86 ),
inference(resolution,[status(thm)],[f325,f1363]) ).
fof(f4583,plain,
( spl0_67
| ~ spl0_54
| ~ spl0_86 ),
inference(split_clause,[status(thm)],[f4582,f367,f324,f431]) ).
fof(f4585,plain,
( equalish(e_2,e_5)
| ~ spl0_132
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f587,f1373]) ).
fof(f4586,plain,
( $false
| ~ spl0_132
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f4585,f100]) ).
fof(f4587,plain,
( ~ spl0_132
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f4586]) ).
fof(f4588,plain,
( spl0_51
| ~ spl0_146
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f4579,f313,f632,f376]) ).
fof(f4589,plain,
( product(e_2,e_4,e_3)
| ~ spl0_67
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f368,f1412]) ).
fof(f4590,plain,
( spl0_62
| ~ spl0_67
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f4589,f350,f367,f405]) ).
fof(f4591,plain,
( spl0_202
| ~ spl0_35
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f4504,f819,f258,f485]) ).
fof(f4603,plain,
( equalish(e_4,e_1)
| ~ spl0_146
| ~ spl0_128 ),
inference(resolution,[status(thm)],[f633,f1848]) ).
fof(f4604,plain,
( $false
| ~ spl0_146
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[status(thm)],[f4603,f107]) ).
fof(f4605,plain,
( ~ spl0_146
| ~ spl0_128 ),
inference(contradiction_clause,[status(thm)],[f4604]) ).
fof(f4613,plain,
( product(e_5,e_2,e_1)
| ~ spl0_207
| ~ spl0_113
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f3629,f915]) ).
fof(f4618,plain,
( product(e_3,e_1,e_3)
| ~ spl0_34
| ~ spl0_146 ),
inference(resolution,[status(thm)],[f1482,f633]) ).
fof(f4619,plain,
( spl0_50
| ~ spl0_34
| ~ spl0_146 ),
inference(split_clause,[status(thm)],[f4618,f310,f255,f632]) ).
fof(f4631,plain,
( equalish(e_3,e_5)
| ~ spl0_207
| ~ spl0_113
| ~ spl0_21
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f4613,f1320]) ).
fof(f4632,plain,
( $false
| ~ spl0_207
| ~ spl0_113
| ~ spl0_21
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f4631,f105]) ).
fof(f4633,plain,
( ~ spl0_207
| ~ spl0_113
| ~ spl0_21
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f4632]) ).
fof(f4634,plain,
( product(e_3,e_1,e_2)
| ~ spl0_146
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f633,f954]) ).
fof(f4635,plain,
( spl0_49
| ~ spl0_146
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f4634,f307,f632,f174]) ).
fof(f4636,plain,
( equalish(e_3,e_1)
| ~ spl0_70
| ~ spl0_58 ),
inference(resolution,[status(thm)],[f377,f2130]) ).
fof(f4637,plain,
( $false
| ~ spl0_70
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f4636,f102]) ).
fof(f4638,plain,
( ~ spl0_70
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f4637]) ).
fof(f4639,plain,
( equalish(e_4,e_5)
| ~ spl0_151
| ~ spl0_157 ),
inference(resolution,[status(thm)],[f650,f2074]) ).
fof(f4640,plain,
( $false
| ~ spl0_151
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[status(thm)],[f4639,f110]) ).
fof(f4641,plain,
( ~ spl0_151
| ~ spl0_157 ),
inference(contradiction_clause,[status(thm)],[f4640]) ).
fof(f4642,plain,
( product(e_1,e_2,e_5)
| ~ spl0_42
| ~ spl0_110 ),
inference(resolution,[status(thm)],[f285,f1535]) ).
fof(f4643,plain,
( spl0_10
| ~ spl0_42
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f4642,f174,f284,f511]) ).
fof(f4645,plain,
( equalish(e_6,e_2)
| ~ spl0_42
| ~ spl0_162 ),
inference(resolution,[status(thm)],[f285,f2293]) ).
fof(f4646,plain,
( $false
| ~ spl0_42
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[status(thm)],[f4645,f118]) ).
fof(f4647,plain,
( ~ spl0_42
| ~ spl0_162 ),
inference(contradiction_clause,[status(thm)],[f4646]) ).
fof(f4649,plain,
( equalish(e_4,e_3)
| ~ spl0_42
| ~ spl0_84 ),
inference(resolution,[status(thm)],[f285,f1709]) ).
fof(f4650,plain,
( $false
| ~ spl0_42
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f4649,f109]) ).
fof(f4651,plain,
( ~ spl0_42
| ~ spl0_84 ),
inference(contradiction_clause,[status(thm)],[f4650]) ).
fof(f4657,plain,
( equalish(e_5,e_1)
| ~ spl0_46
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f1384,f285]) ).
fof(f4658,plain,
( $false
| ~ spl0_46
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f4657,f112]) ).
fof(f4659,plain,
( ~ spl0_46
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f4658]) ).
fof(f4664,plain,
( product(e_4,e_1,e_4)
| ~ spl0_51
| ~ spl0_68 ),
inference(resolution,[status(thm)],[f314,f1160]) ).
fof(f4665,plain,
( spl0_93
| ~ spl0_51
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f4664,f454,f313,f370]) ).
fof(f4677,plain,
( equalish(e_6,e_2)
| ~ spl0_22
| ~ spl0_214 ),
inference(resolution,[status(thm)],[f216,f3062]) ).
fof(f4678,plain,
( $false
| ~ spl0_22
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[status(thm)],[f4677,f118]) ).
fof(f4679,plain,
( ~ spl0_22
| ~ spl0_214 ),
inference(contradiction_clause,[status(thm)],[f4678]) ).
fof(f4686,plain,
( equalish(e_5,e_2)
| ~ spl0_102
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f1599,f285]) ).
fof(f4687,plain,
( $false
| ~ spl0_102
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f4686,f113]) ).
fof(f4688,plain,
( ~ spl0_102
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f4687]) ).
fof(f4689,plain,
$false,
inference(sat_refutation,[status(thm)],[f181,f202,f222,f242,f262,f283,f303,f323,f343,f363,f383,f404,f424,f444,f464,f484,f504,f524,f544,f565,f585,f605,f625,f645,f665,f685,f705,f725,f745,f766,f786,f806,f826,f846,f866,f872,f882,f892,f895,f899,f910,f921,f926,f930,f935,f940,f959,f969,f1000,f1012,f1017,f1020,f1033,f1036,f1047,f1079,f1082,f1089,f1099,f1108,f1111,f1116,f1121,f1140,f1150,f1156,f1166,f1170,f1180,f1193,f1196,f1200,f1213,f1216,f1228,f1231,f1234,f1237,f1240,f1243,f1246,f1256,f1278,f1284,f1286,f1289,f1293,f1300,f1305,f1313,f1319,f1338,f1343,f1348,f1351,f1357,f1359,f1372,f1379,f1381,f1388,f1391,f1398,f1401,f1404,f1415,f1420,f1429,f1437,f1441,f1446,f1454,f1458,f1471,f1474,f1488,f1491,f1499,f1505,f1508,f1521,f1524,f1531,f1545,f1552,f1568,f1571,f1577,f1580,f1587,f1594,f1597,f1604,f1607,f1617,f1631,f1641,f1644,f1665,f1668,f1674,f1682,f1696,f1701,f1703,f1724,f1735,f1739,f1742,f1756,f1758,f1762,f1769,f1774,f1777,f1780,f1783,f1786,f1790,f1792,f1795,f1804,f1807,f1810,f1817,f1824,f1828,f1836,f1838,f1841,f1843,f1846,f1855,f1873,f1876,f1886,f1889,f1891,f1896,f1899,f1903,f1910,f1917,f1923,f1926,f1939,f1943,f1949,f1952,f1957,f1961,f1968,f1971,f1974,f1977,f1980,f1987,f1994,f1997,f2000,f2003,f2006,f2013,f2016,f2029,f2032,f2035,f2038,f2045,f2052,f2060,f2063,f2066,f2069,f2082,f2087,f2090,f2092,f2100,f2118,f2121,f2126,f2129,f2136,f2143,f2155,f2160,f2165,f2172,f2178,f2184,f2196,f2199,f2205,f2209,f2212,f2215,f2222,f2225,f2227,f2232,f2238,f2243,f2246,f2248,f2252,f2255,f2257,f2259,f2262,f2274,f2281,f2284,f2287,f2297,f2307,f2309,f2312,f2315,f2317,f2320,f2328,f2343,f2346,f2349,f2352,f2355,f2357,f2360,f2362,f2365,f2368,f2370,f2376,f2380,f2386,f2389,f2392,f2399,f2401,f2404,f2413,f2416,f2419,f2422,f2425,f2432,f2439,f2443,f2464,f2475,f2484,f2486,f2491,f2496,f2499,f2501,f2512,f2515,f2526,f2529,f2538,f2540,f2553,f2558,f2565,f2567,f2569,f2580,f2587,f2590,f2592,f2598,f2602,f2604,f2613,f2633,f2636,f2646,f2658,f2661,f2666,f2673,f2676,f2679,f2681,f2683,f2692,f2698,f2702,f2705,f2708,f2711,f2715,f2718,f2734,f2745,f2748,f2755,f2762,f2771,f2773,f2775,f2780,f2785,f2789,f2797,f2800,f2802,f2804,f2808,f2810,f2819,f2827,f2829,f2833,f2836,f2838,f2843,f2847,f2851,f2855,f2857,f2861,f2864,f2866,f2870,f2880,f2890,f2893,f2896,f2920,f2923,f2925,f2948,f2957,f2960,f2963,f2967,f2971,f2978,f2981,f2985,f2997,f3000,f3008,f3013,f3021,f3029,f3033,f3042,f3047,f3050,f3052,f3060,f3069,f3071,f3073,f3078,f3090,f3092,f3096,f3105,f3107,f3129,f3131,f3133,f3137,f3140,f3144,f3145,f3153,f3177,f3182,f3190,f3192,f3200,f3210,f3226,f3228,f3232,f3235,f3252,f3257,f3260,f3264,f3278,f3285,f3288,f3290,f3293,f3295,f3297,f3301,f3308,f3326,f3329,f3333,f3341,f3349,f3352,f3355,f3363,f3373,f3377,f3386,f3388,f3390,f3394,f3404,f3407,f3409,f3415,f3431,f3436,f3441,f3448,f3450,f3454,f3458,f3466,f3477,f3492,f3495,f3498,f3501,f3504,f3508,f3510,f3520,f3541,f3545,f3558,f3561,f3565,f3568,f3572,f3587,f3592,f3595,f3609,f3611,f3628,f3645,f3647,f3649,f3651,f3663,f3666,f3673,f3677,f3681,f3684,f3688,f3706,f3714,f3726,f3734,f3736,f3738,f3749,f3753,f3763,f3772,f3775,f3786,f3794,f3796,f3799,f3806,f3809,f3823,f3826,f3828,f3833,f3836,f3840,f3842,f3850,f3857,f3870,f3873,f3879,f3891,f3895,f3897,f3899,f3903,f3905,f3907,f3909,f3911,f3917,f3926,f3946,f3949,f3953,f3971,f3978,f3982,f3996,f4006,f4011,f4021,f4032,f4035,f4038,f4043,f4051,f4055,f4057,f4067,f4074,f4082,f4085,f4087,f4088,f4100,f4102,f4107,f4114,f4116,f4118,f4122,f4126,f4135,f4139,f4143,f4160,f4162,f4166,f4168,f4170,f4174,f4189,f4208,f4212,f4216,f4228,f4236,f4259,f4263,f4272,f4275,f4278,f4287,f4291,f4295,f4303,f4306,f4311,f4313,f4317,f4321,f4334,f4344,f4347,f4350,f4352,f4375,f4377,f4382,f4391,f4394,f4396,f4398,f4402,f4405,f4408,f4410,f4414,f4423,f4426,f4429,f4433,f4451,f4465,f4467,f4484,f4488,f4490,f4494,f4503,f4512,f4516,f4519,f4525,f4537,f4540,f4547,f4551,f4554,f4556,f4567,f4568,f4578,f4581,f4583,f4587,f4588,f4590,f4591,f4605,f4619,f4633,f4635,f4638,f4641,f4643,f4647,f4651,f4659,f4665,f4679,f4688]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP127-2.006 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 11:33:08 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 84.06/10.98 % Refutation found
% 84.06/10.98 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 84.06/10.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 84.52/11.02 % Elapsed time: 10.669234 seconds
% 84.52/11.02 % CPU time: 84.603119 seconds
% 84.52/11.02 % Memory used: 95.503 MB
%------------------------------------------------------------------------------