TSTP Solution File: GRP125-2.005 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP125-2.005 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12:10:32 EDT 2023
% Result : Unsatisfiable 1.66s 0.57s
% Output : CNFRefutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 152
% Syntax : Number of formulae : 1043 ( 105 unt; 0 def)
% Number of atoms : 2617 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 3006 (1432 ~;1453 |; 0 &)
% ( 121 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 125 ( 124 usr; 122 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 179 (; 179 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X,Y] :
( ~ 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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X,Y,W,Z] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
! [X,Y,Z1,Z2] :
( ~ product(X,Y,Z1)
| ~ product(Y,X,Z2)
| product(Z1,Z2,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,plain,
group_element(e_1),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f64,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f65,plain,
group_element(e_3),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f66,plain,
group_element(e_4),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f67,plain,
group_element(e_5),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f68,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f69,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f70,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f71,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f72,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f73,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f74,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f75,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f76,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f77,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f78,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f79,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f80,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f81,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f82,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f83,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f84,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f85,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f86,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f87,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f88,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) ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f89,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f42]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f89]) ).
fof(f91,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f43]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f93,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f44]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f93]) ).
fof(f95,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f96,plain,
! [X,Z1,Z2] :
( ! [Y] :
( ~ product(X,Y,Z1)
| ~ product(Y,X,Z2) )
| product(Z1,Z2,X) ),
inference(miniscoping,[status(esa)],[f46]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X1,X0,X3)
| product(X2,X3,X0) ),
inference(cnf_transformation,[status(esa)],[f96]) ).
fof(f100,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f90,f95]) ).
fof(f102,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f92,f95]) ).
fof(f104,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X1,X0) ),
inference(resolution,[status(thm)],[f94,f95]) ).
fof(f107,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) ),
inference(resolution,[status(thm)],[f63,f88]) ).
fof(f108,plain,
( spl0_0
<=> product(e_1,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f111,plain,
( spl0_1
<=> product(e_1,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f114,plain,
( spl0_2
<=> product(e_1,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f115,plain,
( product(e_1,e_1,e_3)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,plain,
( spl0_3
<=> product(e_1,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f118,plain,
( product(e_1,e_1,e_4)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( spl0_4
<=> product(e_1,e_1,e_5) ),
introduced(split_symbol_definition) ).
fof(f121,plain,
( product(e_1,e_1,e_5)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f107,f63]) ).
fof(f124,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f123,f108,f111,f114,f117,f120]) ).
fof(f125,plain,
( spl0_5
<=> product(e_1,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f126,plain,
( product(e_1,e_2,e_1)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( spl0_6
<=> product(e_1,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f129,plain,
( product(e_1,e_2,e_2)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f131,plain,
( spl0_7
<=> product(e_1,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f132,plain,
( product(e_1,e_2,e_3)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,plain,
( spl0_8
<=> product(e_1,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f135,plain,
( product(e_1,e_2,e_4)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,plain,
( spl0_9
<=> product(e_1,e_2,e_5) ),
introduced(split_symbol_definition) ).
fof(f138,plain,
( product(e_1,e_2,e_5)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,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) ),
inference(resolution,[status(thm)],[f64,f107]) ).
fof(f141,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8
| spl0_9 ),
inference(split_clause,[status(thm)],[f140,f125,f128,f131,f134,f137]) ).
fof(f142,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) ),
inference(resolution,[status(thm)],[f64,f88]) ).
fof(f143,plain,
( spl0_10
<=> product(e_2,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f144,plain,
( product(e_2,e_2,e_1)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( spl0_11
<=> product(e_2,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f149,plain,
( spl0_12
<=> product(e_2,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f150,plain,
( product(e_2,e_2,e_3)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( spl0_13
<=> product(e_2,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f153,plain,
( product(e_2,e_2,e_4)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,plain,
( spl0_14
<=> product(e_2,e_2,e_5) ),
introduced(split_symbol_definition) ).
fof(f156,plain,
( product(e_2,e_2,e_5)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,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) ),
inference(resolution,[status(thm)],[f142,f64]) ).
fof(f159,plain,
( spl0_10
| spl0_11
| spl0_12
| spl0_13
| spl0_14 ),
inference(split_clause,[status(thm)],[f158,f143,f146,f149,f152,f155]) ).
fof(f160,plain,
( spl0_15
<=> product(e_2,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f161,plain,
( product(e_2,e_1,e_1)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( spl0_16
<=> product(e_2,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f164,plain,
( product(e_2,e_1,e_2)
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,plain,
( spl0_17
<=> product(e_2,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f167,plain,
( product(e_2,e_1,e_3)
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,plain,
( spl0_18
<=> product(e_2,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f170,plain,
( product(e_2,e_1,e_4)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( spl0_19
<=> product(e_2,e_1,e_5) ),
introduced(split_symbol_definition) ).
fof(f173,plain,
( product(e_2,e_1,e_5)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,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) ),
inference(resolution,[status(thm)],[f142,f63]) ).
fof(f176,plain,
( spl0_15
| spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f175,f160,f163,f166,f169,f172]) ).
fof(f177,plain,
( spl0_20
<=> product(e_2,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f178,plain,
( product(e_2,e_3,e_1)
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( spl0_21
<=> product(e_2,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f181,plain,
( product(e_2,e_3,e_2)
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( spl0_22
<=> product(e_2,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f184,plain,
( product(e_2,e_3,e_3)
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,plain,
( spl0_23
<=> product(e_2,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f187,plain,
( product(e_2,e_3,e_4)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( spl0_24
<=> product(e_2,e_3,e_5) ),
introduced(split_symbol_definition) ).
fof(f190,plain,
( product(e_2,e_3,e_5)
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,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) ),
inference(resolution,[status(thm)],[f65,f142]) ).
fof(f193,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23
| spl0_24 ),
inference(split_clause,[status(thm)],[f192,f177,f180,f183,f186,f189]) ).
fof(f194,plain,
( spl0_25
<=> product(e_1,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f195,plain,
( product(e_1,e_3,e_1)
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,plain,
( spl0_26
<=> product(e_1,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f198,plain,
( product(e_1,e_3,e_2)
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,plain,
( spl0_27
<=> product(e_1,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f201,plain,
( product(e_1,e_3,e_3)
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( spl0_28
<=> product(e_1,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f204,plain,
( product(e_1,e_3,e_4)
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,plain,
( spl0_29
<=> product(e_1,e_3,e_5) ),
introduced(split_symbol_definition) ).
fof(f207,plain,
( product(e_1,e_3,e_5)
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,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) ),
inference(resolution,[status(thm)],[f65,f107]) ).
fof(f210,plain,
( spl0_25
| spl0_26
| spl0_27
| spl0_28
| spl0_29 ),
inference(split_clause,[status(thm)],[f209,f194,f197,f200,f203,f206]) ).
fof(f211,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) ),
inference(resolution,[status(thm)],[f65,f88]) ).
fof(f212,plain,
( spl0_30
<=> product(e_3,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f213,plain,
( product(e_3,e_3,e_1)
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( spl0_31
<=> product(e_3,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f216,plain,
( product(e_3,e_3,e_2)
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f221,plain,
( spl0_33
<=> product(e_3,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f222,plain,
( product(e_3,e_3,e_4)
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,plain,
( spl0_34
<=> product(e_3,e_3,e_5) ),
introduced(split_symbol_definition) ).
fof(f225,plain,
( product(e_3,e_3,e_5)
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f229,plain,
( spl0_35
<=> product(e_3,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f230,plain,
( product(e_3,e_2,e_1)
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,plain,
( spl0_36
<=> product(e_3,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f233,plain,
( product(e_3,e_2,e_2)
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,plain,
( spl0_37
<=> product(e_3,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f236,plain,
( product(e_3,e_2,e_3)
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,plain,
( spl0_38
<=> product(e_3,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f239,plain,
( product(e_3,e_2,e_4)
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,plain,
( spl0_39
<=> product(e_3,e_2,e_5) ),
introduced(split_symbol_definition) ).
fof(f242,plain,
( product(e_3,e_2,e_5)
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,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) ),
inference(resolution,[status(thm)],[f211,f64]) ).
fof(f245,plain,
( spl0_35
| spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f244,f229,f232,f235,f238,f241]) ).
fof(f246,plain,
( spl0_40
<=> product(e_3,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f247,plain,
( product(e_3,e_1,e_1)
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,plain,
( spl0_41
<=> product(e_3,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f250,plain,
( product(e_3,e_1,e_2)
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( spl0_42
<=> product(e_3,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f253,plain,
( product(e_3,e_1,e_3)
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( spl0_43
<=> product(e_3,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f256,plain,
( product(e_3,e_1,e_4)
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( spl0_44
<=> product(e_3,e_1,e_5) ),
introduced(split_symbol_definition) ).
fof(f259,plain,
( product(e_3,e_1,e_5)
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,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) ),
inference(resolution,[status(thm)],[f211,f63]) ).
fof(f262,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43
| spl0_44 ),
inference(split_clause,[status(thm)],[f261,f246,f249,f252,f255,f258]) ).
fof(f263,plain,
( spl0_45
<=> product(e_3,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f264,plain,
( product(e_3,e_4,e_1)
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( spl0_46
<=> product(e_3,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f267,plain,
( product(e_3,e_4,e_2)
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( spl0_47
<=> product(e_3,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f270,plain,
( product(e_3,e_4,e_3)
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,plain,
( spl0_48
<=> product(e_3,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f273,plain,
( product(e_3,e_4,e_4)
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( spl0_49
<=> product(e_3,e_4,e_5) ),
introduced(split_symbol_definition) ).
fof(f276,plain,
( product(e_3,e_4,e_5)
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,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) ),
inference(resolution,[status(thm)],[f66,f211]) ).
fof(f279,plain,
( spl0_45
| spl0_46
| spl0_47
| spl0_48
| spl0_49 ),
inference(split_clause,[status(thm)],[f278,f263,f266,f269,f272,f275]) ).
fof(f280,plain,
( spl0_50
<=> product(e_2,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f281,plain,
( product(e_2,e_4,e_1)
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( spl0_51
<=> product(e_2,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f284,plain,
( product(e_2,e_4,e_2)
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( spl0_52
<=> product(e_2,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f287,plain,
( product(e_2,e_4,e_3)
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( spl0_53
<=> product(e_2,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f290,plain,
( product(e_2,e_4,e_4)
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,plain,
( spl0_54
<=> product(e_2,e_4,e_5) ),
introduced(split_symbol_definition) ).
fof(f293,plain,
( product(e_2,e_4,e_5)
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,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) ),
inference(resolution,[status(thm)],[f66,f142]) ).
fof(f296,plain,
( spl0_50
| spl0_51
| spl0_52
| spl0_53
| spl0_54 ),
inference(split_clause,[status(thm)],[f295,f280,f283,f286,f289,f292]) ).
fof(f297,plain,
( spl0_55
<=> product(e_1,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f298,plain,
( product(e_1,e_4,e_1)
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( spl0_56
<=> product(e_1,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f301,plain,
( product(e_1,e_4,e_2)
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( spl0_57
<=> product(e_1,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f304,plain,
( product(e_1,e_4,e_3)
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f303]) ).
fof(f306,plain,
( spl0_58
<=> product(e_1,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f307,plain,
( product(e_1,e_4,e_4)
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f306]) ).
fof(f309,plain,
( spl0_59
<=> product(e_1,e_4,e_5) ),
introduced(split_symbol_definition) ).
fof(f310,plain,
( product(e_1,e_4,e_5)
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,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) ),
inference(resolution,[status(thm)],[f66,f107]) ).
fof(f313,plain,
( spl0_55
| spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f312,f297,f300,f303,f306,f309]) ).
fof(f314,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) ),
inference(resolution,[status(thm)],[f66,f88]) ).
fof(f315,plain,
( spl0_60
<=> product(e_4,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f316,plain,
( product(e_4,e_4,e_1)
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( spl0_61
<=> product(e_4,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f319,plain,
( product(e_4,e_4,e_2)
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,plain,
( spl0_62
<=> product(e_4,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f322,plain,
( product(e_4,e_4,e_3)
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f327,plain,
( spl0_64
<=> product(e_4,e_4,e_5) ),
introduced(split_symbol_definition) ).
fof(f328,plain,
( product(e_4,e_4,e_5)
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f332,plain,
( spl0_65
<=> product(e_4,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f333,plain,
( product(e_4,e_3,e_1)
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,plain,
( spl0_66
<=> product(e_4,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f336,plain,
( product(e_4,e_3,e_2)
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( spl0_67
<=> product(e_4,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f339,plain,
( product(e_4,e_3,e_3)
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( spl0_68
<=> product(e_4,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f342,plain,
( product(e_4,e_3,e_4)
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( spl0_69
<=> product(e_4,e_3,e_5) ),
introduced(split_symbol_definition) ).
fof(f345,plain,
( product(e_4,e_3,e_5)
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,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) ),
inference(resolution,[status(thm)],[f314,f65]) ).
fof(f348,plain,
( spl0_65
| spl0_66
| spl0_67
| spl0_68
| spl0_69 ),
inference(split_clause,[status(thm)],[f347,f332,f335,f338,f341,f344]) ).
fof(f349,plain,
( spl0_70
<=> product(e_4,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f350,plain,
( product(e_4,e_2,e_1)
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,plain,
( spl0_71
<=> product(e_4,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f353,plain,
( product(e_4,e_2,e_2)
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( spl0_72
<=> product(e_4,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f356,plain,
( product(e_4,e_2,e_3)
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( spl0_73
<=> product(e_4,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f359,plain,
( product(e_4,e_2,e_4)
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,plain,
( spl0_74
<=> product(e_4,e_2,e_5) ),
introduced(split_symbol_definition) ).
fof(f362,plain,
( product(e_4,e_2,e_5)
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,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) ),
inference(resolution,[status(thm)],[f314,f64]) ).
fof(f365,plain,
( spl0_70
| spl0_71
| spl0_72
| spl0_73
| spl0_74 ),
inference(split_clause,[status(thm)],[f364,f349,f352,f355,f358,f361]) ).
fof(f366,plain,
( spl0_75
<=> product(e_4,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f367,plain,
( product(e_4,e_1,e_1)
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,plain,
( spl0_76
<=> product(e_4,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f370,plain,
( product(e_4,e_1,e_2)
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( spl0_77
<=> product(e_4,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f373,plain,
( product(e_4,e_1,e_3)
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( spl0_78
<=> product(e_4,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f376,plain,
( product(e_4,e_1,e_4)
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( spl0_79
<=> product(e_4,e_1,e_5) ),
introduced(split_symbol_definition) ).
fof(f379,plain,
( product(e_4,e_1,e_5)
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,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) ),
inference(resolution,[status(thm)],[f314,f63]) ).
fof(f382,plain,
( spl0_75
| spl0_76
| spl0_77
| spl0_78
| spl0_79 ),
inference(split_clause,[status(thm)],[f381,f366,f369,f372,f375,f378]) ).
fof(f383,plain,
( spl0_80
<=> product(e_4,e_5,e_1) ),
introduced(split_symbol_definition) ).
fof(f384,plain,
( product(e_4,e_5,e_1)
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( spl0_81
<=> product(e_4,e_5,e_2) ),
introduced(split_symbol_definition) ).
fof(f387,plain,
( product(e_4,e_5,e_2)
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,plain,
( spl0_82
<=> product(e_4,e_5,e_3) ),
introduced(split_symbol_definition) ).
fof(f390,plain,
( product(e_4,e_5,e_3)
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,plain,
( spl0_83
<=> product(e_4,e_5,e_4) ),
introduced(split_symbol_definition) ).
fof(f393,plain,
( product(e_4,e_5,e_4)
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( spl0_84
<=> product(e_4,e_5,e_5) ),
introduced(split_symbol_definition) ).
fof(f396,plain,
( product(e_4,e_5,e_5)
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,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) ),
inference(resolution,[status(thm)],[f67,f314]) ).
fof(f399,plain,
( spl0_80
| spl0_81
| spl0_82
| spl0_83
| spl0_84 ),
inference(split_clause,[status(thm)],[f398,f383,f386,f389,f392,f395]) ).
fof(f400,plain,
( spl0_85
<=> product(e_3,e_5,e_1) ),
introduced(split_symbol_definition) ).
fof(f401,plain,
( product(e_3,e_5,e_1)
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( spl0_86
<=> product(e_3,e_5,e_2) ),
introduced(split_symbol_definition) ).
fof(f404,plain,
( product(e_3,e_5,e_2)
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( spl0_87
<=> product(e_3,e_5,e_3) ),
introduced(split_symbol_definition) ).
fof(f407,plain,
( product(e_3,e_5,e_3)
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( spl0_88
<=> product(e_3,e_5,e_4) ),
introduced(split_symbol_definition) ).
fof(f410,plain,
( product(e_3,e_5,e_4)
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,plain,
( spl0_89
<=> product(e_3,e_5,e_5) ),
introduced(split_symbol_definition) ).
fof(f413,plain,
( product(e_3,e_5,e_5)
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,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) ),
inference(resolution,[status(thm)],[f67,f211]) ).
fof(f416,plain,
( spl0_85
| spl0_86
| spl0_87
| spl0_88
| spl0_89 ),
inference(split_clause,[status(thm)],[f415,f400,f403,f406,f409,f412]) ).
fof(f417,plain,
( spl0_90
<=> product(e_2,e_5,e_1) ),
introduced(split_symbol_definition) ).
fof(f418,plain,
( product(e_2,e_5,e_1)
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( spl0_91
<=> product(e_2,e_5,e_2) ),
introduced(split_symbol_definition) ).
fof(f421,plain,
( product(e_2,e_5,e_2)
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,plain,
( spl0_92
<=> product(e_2,e_5,e_3) ),
introduced(split_symbol_definition) ).
fof(f424,plain,
( product(e_2,e_5,e_3)
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,plain,
( spl0_93
<=> product(e_2,e_5,e_4) ),
introduced(split_symbol_definition) ).
fof(f427,plain,
( product(e_2,e_5,e_4)
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( spl0_94
<=> product(e_2,e_5,e_5) ),
introduced(split_symbol_definition) ).
fof(f430,plain,
( product(e_2,e_5,e_5)
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,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) ),
inference(resolution,[status(thm)],[f67,f142]) ).
fof(f433,plain,
( spl0_90
| spl0_91
| spl0_92
| spl0_93
| spl0_94 ),
inference(split_clause,[status(thm)],[f432,f417,f420,f423,f426,f429]) ).
fof(f434,plain,
( spl0_95
<=> product(e_1,e_5,e_1) ),
introduced(split_symbol_definition) ).
fof(f435,plain,
( product(e_1,e_5,e_1)
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,plain,
( spl0_96
<=> product(e_1,e_5,e_2) ),
introduced(split_symbol_definition) ).
fof(f438,plain,
( product(e_1,e_5,e_2)
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,plain,
( spl0_97
<=> product(e_1,e_5,e_3) ),
introduced(split_symbol_definition) ).
fof(f441,plain,
( product(e_1,e_5,e_3)
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( spl0_98
<=> product(e_1,e_5,e_4) ),
introduced(split_symbol_definition) ).
fof(f444,plain,
( product(e_1,e_5,e_4)
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,plain,
( spl0_99
<=> product(e_1,e_5,e_5) ),
introduced(split_symbol_definition) ).
fof(f447,plain,
( product(e_1,e_5,e_5)
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,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) ),
inference(resolution,[status(thm)],[f67,f107]) ).
fof(f450,plain,
( spl0_95
| spl0_96
| spl0_97
| spl0_98
| spl0_99 ),
inference(split_clause,[status(thm)],[f449,f434,f437,f440,f443,f446]) ).
fof(f451,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) ),
inference(resolution,[status(thm)],[f67,f88]) ).
fof(f452,plain,
( spl0_100
<=> product(e_5,e_5,e_1) ),
introduced(split_symbol_definition) ).
fof(f453,plain,
( product(e_5,e_5,e_1)
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( spl0_101
<=> product(e_5,e_5,e_2) ),
introduced(split_symbol_definition) ).
fof(f456,plain,
( product(e_5,e_5,e_2)
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( spl0_102
<=> product(e_5,e_5,e_3) ),
introduced(split_symbol_definition) ).
fof(f459,plain,
( product(e_5,e_5,e_3)
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f469,plain,
( spl0_105
<=> product(e_5,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f470,plain,
( product(e_5,e_4,e_1)
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( spl0_106
<=> product(e_5,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f473,plain,
( product(e_5,e_4,e_2)
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( spl0_107
<=> product(e_5,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f476,plain,
( product(e_5,e_4,e_3)
| ~ spl0_107 ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,plain,
( spl0_108
<=> product(e_5,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f479,plain,
( product(e_5,e_4,e_4)
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,plain,
( spl0_109
<=> product(e_5,e_4,e_5) ),
introduced(split_symbol_definition) ).
fof(f482,plain,
( product(e_5,e_4,e_5)
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,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) ),
inference(resolution,[status(thm)],[f451,f66]) ).
fof(f485,plain,
( spl0_105
| spl0_106
| spl0_107
| spl0_108
| spl0_109 ),
inference(split_clause,[status(thm)],[f484,f469,f472,f475,f478,f481]) ).
fof(f486,plain,
( spl0_110
<=> product(e_5,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( product(e_5,e_3,e_1)
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( spl0_111
<=> product(e_5,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f490,plain,
( product(e_5,e_3,e_2)
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( spl0_112
<=> product(e_5,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f493,plain,
( product(e_5,e_3,e_3)
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,plain,
( spl0_113
<=> product(e_5,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f496,plain,
( product(e_5,e_3,e_4)
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,plain,
( spl0_114
<=> product(e_5,e_3,e_5) ),
introduced(split_symbol_definition) ).
fof(f499,plain,
( product(e_5,e_3,e_5)
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,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) ),
inference(resolution,[status(thm)],[f451,f65]) ).
fof(f502,plain,
( spl0_110
| spl0_111
| spl0_112
| spl0_113
| spl0_114 ),
inference(split_clause,[status(thm)],[f501,f486,f489,f492,f495,f498]) ).
fof(f503,plain,
( spl0_115
<=> product(e_5,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f504,plain,
( product(e_5,e_2,e_1)
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( spl0_116
<=> product(e_5,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f507,plain,
( product(e_5,e_2,e_2)
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( spl0_117
<=> product(e_5,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f510,plain,
( product(e_5,e_2,e_3)
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( spl0_118
<=> product(e_5,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f513,plain,
( product(e_5,e_2,e_4)
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( spl0_119
<=> product(e_5,e_2,e_5) ),
introduced(split_symbol_definition) ).
fof(f516,plain,
( product(e_5,e_2,e_5)
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,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) ),
inference(resolution,[status(thm)],[f451,f64]) ).
fof(f519,plain,
( spl0_115
| spl0_116
| spl0_117
| spl0_118
| spl0_119 ),
inference(split_clause,[status(thm)],[f518,f503,f506,f509,f512,f515]) ).
fof(f520,plain,
( spl0_120
<=> product(e_5,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f521,plain,
( product(e_5,e_1,e_1)
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,plain,
( spl0_121
<=> product(e_5,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f524,plain,
( product(e_5,e_1,e_2)
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( spl0_122
<=> product(e_5,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f527,plain,
( product(e_5,e_1,e_3)
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( spl0_123
<=> product(e_5,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f530,plain,
( product(e_5,e_1,e_4)
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,plain,
( spl0_124
<=> product(e_5,e_1,e_5) ),
introduced(split_symbol_definition) ).
fof(f533,plain,
( product(e_5,e_1,e_5)
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,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) ),
inference(resolution,[status(thm)],[f451,f63]) ).
fof(f536,plain,
( spl0_120
| spl0_121
| spl0_122
| spl0_123
| spl0_124 ),
inference(split_clause,[status(thm)],[f535,f520,f523,f526,f529,f532]) ).
fof(f540,plain,
( equalish(e_1,e_5)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f121,f100]) ).
fof(f541,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f540,f71]) ).
fof(f542,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f541]) ).
fof(f543,plain,
! [X0] :
( ~ product(X0,e_2,e_5)
| equalish(e_1,X0)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f138,f94]) ).
fof(f546,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| product(e_5,X0,e_1)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f138,f97]) ).
fof(f554,plain,
! [X0] :
( ~ product(e_1,X0,e_3)
| equalish(e_2,X0)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f132,f92]) ).
fof(f556,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| product(e_3,X0,e_1)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f132,f97]) ).
fof(f564,plain,
( equalish(e_1,e_2)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f126,f102]) ).
fof(f565,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f564,f68]) ).
fof(f566,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f565]) ).
fof(f568,plain,
! [X0] :
( ~ product(X0,e_1,e_5)
| equalish(e_2,X0)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f173,f94]) ).
fof(f570,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| equalish(e_5,X0)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f173,f90]) ).
fof(f575,plain,
( equalish(e_5,e_4)
| ~ spl0_18
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f170,f570]) ).
fof(f576,plain,
( $false
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f575,f87]) ).
fof(f577,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f576]) ).
fof(f580,plain,
! [X0] :
( ~ product(e_2,X0,e_3)
| equalish(e_1,X0)
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f167,f92]) ).
fof(f582,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| product(e_3,X0,e_2)
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f167,f97]) ).
fof(f590,plain,
( equalish(e_1,e_2)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f161,f104]) ).
fof(f591,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f590,f68]) ).
fof(f592,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f591]) ).
fof(f595,plain,
( equalish(e_2,e_5)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f156,f100]) ).
fof(f596,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f595,f75]) ).
fof(f597,plain,
~ spl0_14,
inference(contradiction_clause,[status(thm)],[f596]) ).
fof(f600,plain,
( equalish(e_2,e_4)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f153,f100]) ).
fof(f601,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f600,f74]) ).
fof(f602,plain,
~ spl0_13,
inference(contradiction_clause,[status(thm)],[f601]) ).
fof(f608,plain,
( equalish(e_2,e_1)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f164,f102]) ).
fof(f609,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f608,f72]) ).
fof(f610,plain,
~ spl0_16,
inference(contradiction_clause,[status(thm)],[f609]) ).
fof(f613,plain,
! [X0] :
( ~ product(e_2,X0,e_4)
| equalish(e_1,X0)
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f170,f92]) ).
fof(f615,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| product(e_4,X0,e_2)
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f170,f97]) ).
fof(f618,plain,
( equalish(e_2,e_1)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f144,f100]) ).
fof(f619,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f618,f72]) ).
fof(f620,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f619]) ).
fof(f621,plain,
! [X0] :
( ~ product(X0,e_3,e_5)
| equalish(e_1,X0)
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f207,f94]) ).
fof(f624,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| product(e_5,X0,e_1)
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f207,f97]) ).
fof(f634,plain,
( equalish(e_2,e_1)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f129,f104]) ).
fof(f635,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f634,f72]) ).
fof(f636,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f635]) ).
fof(f637,plain,
! [X0] :
( ~ product(X0,e_2,e_4)
| equalish(e_1,X0)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f135,f94]) ).
fof(f641,plain,
! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(e_1,X0)
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f198,f94]) ).
fof(f642,plain,
! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(e_3,X0)
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f198,f92]) ).
fof(f644,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| product(e_2,X0,e_1)
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f198,f97]) ).
fof(f651,plain,
! [X0] :
( ~ product(X0,e_3,e_5)
| equalish(e_2,X0)
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f190,f94]) ).
fof(f652,plain,
! [X0] :
( ~ product(e_2,X0,e_5)
| equalish(e_3,X0)
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f190,f92]) ).
fof(f653,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| equalish(e_5,X0)
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f190,f90]) ).
fof(f654,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| product(e_5,X0,e_2)
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f190,f97]) ).
fof(f658,plain,
( equalish(e_5,e_4)
| ~ spl0_23
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f187,f653]) ).
fof(f659,plain,
( $false
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f658,f87]) ).
fof(f660,plain,
( ~ spl0_23
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f659]) ).
fof(f664,plain,
( equalish(e_3,e_2)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f184,f104]) ).
fof(f665,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f77]) ).
fof(f666,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f665]) ).
fof(f667,plain,
( equalish(e_1,e_3)
| ~ spl0_23
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f187,f613]) ).
fof(f668,plain,
( $false
| ~ spl0_23
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f667,f69]) ).
fof(f669,plain,
( ~ spl0_23
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f668]) ).
fof(f674,plain,
( equalish(e_2,e_3)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f181,f102]) ).
fof(f675,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f674,f73]) ).
fof(f676,plain,
~ spl0_21,
inference(contradiction_clause,[status(thm)],[f675]) ).
fof(f678,plain,
( equalish(e_1,e_3)
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f195,f102]) ).
fof(f679,plain,
( $false
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f678,f69]) ).
fof(f680,plain,
~ spl0_25,
inference(contradiction_clause,[status(thm)],[f679]) ).
fof(f681,plain,
( equalish(e_3,e_1)
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f201,f104]) ).
fof(f682,plain,
( $false
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f681,f76]) ).
fof(f683,plain,
~ spl0_27,
inference(contradiction_clause,[status(thm)],[f682]) ).
fof(f687,plain,
! [X0] :
( ~ product(X0,e_3,e_4)
| equalish(e_2,X0)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f187,f94]) ).
fof(f688,plain,
! [X0] :
( ~ product(e_2,X0,e_4)
| equalish(e_3,X0)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f187,f92]) ).
fof(f690,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| product(e_4,X0,e_2)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f187,f97]) ).
fof(f692,plain,
! [X0] :
( ~ product(X0,e_1,e_5)
| equalish(e_3,X0)
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f259,f94]) ).
fof(f694,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| equalish(e_5,X0)
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f259,f90]) ).
fof(f697,plain,
! [X0] :
( ~ product(X0,e_1,e_4)
| equalish(e_3,X0)
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f256,f94]) ).
fof(f698,plain,
! [X0] :
( ~ product(e_3,X0,e_4)
| equalish(e_1,X0)
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f256,f92]) ).
fof(f700,plain,
! [X0] :
( ~ product(e_1,e_3,X0)
| product(e_4,X0,e_3)
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f256,f97]) ).
fof(f707,plain,
( equalish(e_5,e_4)
| ~ spl0_44
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f694,f256]) ).
fof(f708,plain,
( $false
| ~ spl0_44
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f707,f87]) ).
fof(f709,plain,
( ~ spl0_44
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f708]) ).
fof(f710,plain,
( product(e_2,e_2,e_1)
| ~ spl0_41
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f250,f644]) ).
fof(f711,plain,
( spl0_10
| ~ spl0_41
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f710,f143,f249,f197]) ).
fof(f717,plain,
! [X0] :
( ~ product(X0,e_3,e_4)
| equalish(e_1,X0)
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f204,f94]) ).
fof(f718,plain,
! [X0] :
( ~ product(e_1,X0,e_4)
| equalish(e_3,X0)
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f204,f92]) ).
fof(f722,plain,
( equalish(e_1,e_3)
| ~ spl0_40 ),
inference(resolution,[status(thm)],[f247,f104]) ).
fof(f723,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f722,f69]) ).
fof(f724,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f723]) ).
fof(f725,plain,
! [X0] :
( ~ product(X0,e_2,e_5)
| equalish(e_3,X0)
| ~ spl0_39 ),
inference(resolution,[status(thm)],[f242,f94]) ).
fof(f726,plain,
! [X0] :
( ~ product(e_3,X0,e_5)
| equalish(e_2,X0)
| ~ spl0_39 ),
inference(resolution,[status(thm)],[f242,f92]) ).
fof(f728,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| product(e_5,X0,e_3)
| ~ spl0_39 ),
inference(resolution,[status(thm)],[f242,f97]) ).
fof(f741,plain,
! [X0] :
( ~ product(X0,e_2,e_4)
| equalish(e_3,X0)
| ~ spl0_38 ),
inference(resolution,[status(thm)],[f239,f94]) ).
fof(f742,plain,
! [X0] :
( ~ product(e_3,X0,e_4)
| equalish(e_2,X0)
| ~ spl0_38 ),
inference(resolution,[status(thm)],[f239,f92]) ).
fof(f744,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| product(e_4,X0,e_3)
| ~ spl0_38 ),
inference(resolution,[status(thm)],[f239,f97]) ).
fof(f754,plain,
( equalish(e_3,e_1)
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f253,f102]) ).
fof(f755,plain,
( $false
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f754,f76]) ).
fof(f756,plain,
~ spl0_42,
inference(contradiction_clause,[status(thm)],[f755]) ).
fof(f758,plain,
! [X0] :
( ~ product(e_3,X0,e_1)
| equalish(e_2,X0)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f230,f92]) ).
fof(f760,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| product(e_1,X0,e_3)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f230,f97]) ).
fof(f767,plain,
( equalish(e_1,e_3)
| ~ spl0_33
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f222,f698]) ).
fof(f768,plain,
( $false
| ~ spl0_33
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f767,f69]) ).
fof(f769,plain,
( ~ spl0_33
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f768]) ).
fof(f770,plain,
( equalish(e_1,e_3)
| ~ spl0_31
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f216,f641]) ).
fof(f771,plain,
( $false
| ~ spl0_31
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f770,f69]) ).
fof(f772,plain,
( ~ spl0_31
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f771]) ).
fof(f776,plain,
( product(e_3,e_3,e_1)
| ~ spl0_17
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f167,f556]) ).
fof(f777,plain,
( spl0_30
| ~ spl0_17
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f776,f212,f166,f131]) ).
fof(f778,plain,
! [X0] :
( ~ product(X0,e_4,e_5)
| equalish(e_1,X0)
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f310,f94]) ).
fof(f781,plain,
! [X0] :
( ~ product(e_4,e_1,X0)
| product(e_5,X0,e_1)
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f310,f97]) ).
fof(f785,plain,
( equalish(e_2,e_4)
| ~ spl0_57
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f304,f554]) ).
fof(f786,plain,
( $false
| ~ spl0_57
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f785,f74]) ).
fof(f787,plain,
( ~ spl0_57
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f786]) ).
fof(f795,plain,
( equalish(e_1,e_4)
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f298,f102]) ).
fof(f796,plain,
( $false
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f795,f70]) ).
fof(f797,plain,
~ spl0_55,
inference(contradiction_clause,[status(thm)],[f796]) ).
fof(f798,plain,
( equalish(e_3,e_4)
| ~ spl0_54
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f293,f652]) ).
fof(f799,plain,
( $false
| ~ spl0_54
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f798,f78]) ).
fof(f800,plain,
( ~ spl0_54
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f799]) ).
fof(f801,plain,
( equalish(e_1,e_2)
| ~ spl0_54
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f293,f778]) ).
fof(f802,plain,
( $false
| ~ spl0_54
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f801,f68]) ).
fof(f803,plain,
( ~ spl0_54
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f802]) ).
fof(f804,plain,
( equalish(e_2,e_3)
| ~ spl0_36 ),
inference(resolution,[status(thm)],[f233,f104]) ).
fof(f805,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f804,f73]) ).
fof(f806,plain,
~ spl0_36,
inference(contradiction_clause,[status(thm)],[f805]) ).
fof(f809,plain,
( equalish(e_3,e_1)
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f213,f100]) ).
fof(f810,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f809,f76]) ).
fof(f811,plain,
~ spl0_30,
inference(contradiction_clause,[status(thm)],[f810]) ).
fof(f812,plain,
( equalish(e_3,e_4)
| ~ spl0_56
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f301,f642]) ).
fof(f813,plain,
( $false
| ~ spl0_56
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f812,f78]) ).
fof(f814,plain,
( ~ spl0_56
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f813]) ).
fof(f815,plain,
! [X0] :
( ~ product(X0,e_4,e_3)
| equalish(e_1,X0)
| ~ spl0_57 ),
inference(resolution,[status(thm)],[f304,f94]) ).
fof(f818,plain,
! [X0] :
( ~ product(e_4,e_1,X0)
| product(e_3,X0,e_1)
| ~ spl0_57 ),
inference(resolution,[status(thm)],[f304,f97]) ).
fof(f822,plain,
( equalish(e_1,e_2)
| ~ spl0_52
| ~ spl0_57 ),
inference(resolution,[status(thm)],[f287,f815]) ).
fof(f823,plain,
( $false
| ~ spl0_52
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f822,f68]) ).
fof(f824,plain,
( ~ spl0_52
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f823]) ).
fof(f826,plain,
( equalish(e_2,e_4)
| ~ spl0_51 ),
inference(resolution,[status(thm)],[f284,f102]) ).
fof(f827,plain,
( $false
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f826,f74]) ).
fof(f828,plain,
~ spl0_51,
inference(contradiction_clause,[status(thm)],[f827]) ).
fof(f829,plain,
! [X0] :
( ~ product(X0,e_4,e_1)
| equalish(e_2,X0)
| ~ spl0_50 ),
inference(resolution,[status(thm)],[f281,f94]) ).
fof(f830,plain,
! [X0] :
( ~ product(e_2,X0,e_1)
| equalish(e_4,X0)
| ~ spl0_50 ),
inference(resolution,[status(thm)],[f281,f92]) ).
fof(f832,plain,
! [X0] :
( ~ product(e_4,e_2,X0)
| product(e_1,X0,e_2)
| ~ spl0_50 ),
inference(resolution,[status(thm)],[f281,f97]) ).
fof(f836,plain,
( equalish(e_2,e_4)
| ~ spl0_49
| ~ spl0_39 ),
inference(resolution,[status(thm)],[f276,f726]) ).
fof(f837,plain,
( $false
| ~ spl0_49
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f836,f74]) ).
fof(f838,plain,
( ~ spl0_49
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f837]) ).
fof(f843,plain,
( equalish(e_3,e_4)
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f270,f102]) ).
fof(f844,plain,
( $false
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f843,f78]) ).
fof(f845,plain,
~ spl0_47,
inference(contradiction_clause,[status(thm)],[f844]) ).
fof(f847,plain,
! [X0] :
( ~ product(e_3,X0,e_2)
| equalish(e_4,X0)
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f267,f92]) ).
fof(f849,plain,
! [X0] :
( ~ product(e_4,e_3,X0)
| product(e_2,X0,e_3)
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f267,f97]) ).
fof(f850,plain,
( equalish(e_2,e_3)
| ~ spl0_45
| ~ spl0_50 ),
inference(resolution,[status(thm)],[f264,f829]) ).
fof(f851,plain,
( $false
| ~ spl0_45
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f850,f73]) ).
fof(f852,plain,
( ~ spl0_45
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f851]) ).
fof(f853,plain,
( product(e_3,e_4,e_1)
| ~ spl0_18
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f170,f556]) ).
fof(f854,plain,
( spl0_45
| ~ spl0_18
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f853,f263,f169,f131]) ).
fof(f871,plain,
! [X0] :
( ~ product(e_4,X0,e_3)
| equalish(e_1,X0)
| ~ spl0_77 ),
inference(resolution,[status(thm)],[f373,f92]) ).
fof(f872,plain,
! [X0] :
( ~ product(e_4,e_1,X0)
| equalish(e_3,X0)
| ~ spl0_77 ),
inference(resolution,[status(thm)],[f373,f90]) ).
fof(f873,plain,
! [X0] :
( ~ product(e_1,e_4,X0)
| product(e_3,X0,e_4)
| ~ spl0_77 ),
inference(resolution,[status(thm)],[f373,f97]) ).
fof(f877,plain,
( equalish(e_3,e_2)
| ~ spl0_76
| ~ spl0_77 ),
inference(resolution,[status(thm)],[f370,f872]) ).
fof(f878,plain,
( $false
| ~ spl0_76
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f877,f77]) ).
fof(f879,plain,
( ~ spl0_76
| ~ spl0_77 ),
inference(contradiction_clause,[status(thm)],[f878]) ).
fof(f881,plain,
( equalish(e_1,e_4)
| ~ spl0_75 ),
inference(resolution,[status(thm)],[f367,f104]) ).
fof(f882,plain,
( $false
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f881,f70]) ).
fof(f883,plain,
~ spl0_75,
inference(contradiction_clause,[status(thm)],[f882]) ).
fof(f884,plain,
( equalish(e_3,e_4)
| ~ spl0_74
| ~ spl0_39 ),
inference(resolution,[status(thm)],[f362,f725]) ).
fof(f885,plain,
( $false
| ~ spl0_74
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f884,f78]) ).
fof(f886,plain,
( ~ spl0_74
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( equalish(e_3,e_2)
| ~ spl0_37 ),
inference(resolution,[status(thm)],[f236,f102]) ).
fof(f889,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f888,f77]) ).
fof(f890,plain,
~ spl0_37,
inference(contradiction_clause,[status(thm)],[f889]) ).
fof(f896,plain,
! [X0] :
( ~ product(X0,e_4,e_2)
| equalish(e_1,X0)
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f301,f94]) ).
fof(f897,plain,
! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(e_4,X0)
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f301,f92]) ).
fof(f899,plain,
! [X0] :
( ~ product(e_4,e_1,X0)
| product(e_2,X0,e_1)
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f301,f97]) ).
fof(f900,plain,
( equalish(e_1,e_3)
| ~ spl0_56
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f896,f267]) ).
fof(f901,plain,
( $false
| ~ spl0_56
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f900,f69]) ).
fof(f902,plain,
( ~ spl0_56
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f901]) ).
fof(f903,plain,
( product(e_1,e_3,e_2)
| ~ spl0_72
| ~ spl0_50 ),
inference(resolution,[status(thm)],[f356,f832]) ).
fof(f904,plain,
( spl0_26
| ~ spl0_72
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f903,f197,f355,f280]) ).
fof(f905,plain,
( equalish(e_1,e_2)
| ~ spl0_72
| ~ spl0_77 ),
inference(resolution,[status(thm)],[f356,f871]) ).
fof(f906,plain,
( $false
| ~ spl0_72
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f905,f68]) ).
fof(f907,plain,
( ~ spl0_72
| ~ spl0_77 ),
inference(contradiction_clause,[status(thm)],[f906]) ).
fof(f910,plain,
! [X0] :
( ~ product(e_4,X0,e_2)
| equalish(e_1,X0)
| ~ spl0_76 ),
inference(resolution,[status(thm)],[f370,f92]) ).
fof(f912,plain,
! [X0] :
( ~ product(e_1,e_4,X0)
| product(e_2,X0,e_4)
| ~ spl0_76 ),
inference(resolution,[status(thm)],[f370,f97]) ).
fof(f919,plain,
! [X0] :
( ~ product(X0,e_2,e_1)
| equalish(e_4,X0)
| ~ spl0_70 ),
inference(resolution,[status(thm)],[f350,f94]) ).
fof(f920,plain,
! [X0] :
( ~ product(e_4,X0,e_1)
| equalish(e_2,X0)
| ~ spl0_70 ),
inference(resolution,[status(thm)],[f350,f92]) ).
fof(f922,plain,
! [X0] :
( ~ product(e_2,e_4,X0)
| product(e_1,X0,e_4)
| ~ spl0_70 ),
inference(resolution,[status(thm)],[f350,f97]) ).
fof(f926,plain,
( equalish(e_2,e_4)
| ~ spl0_69
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f345,f651]) ).
fof(f927,plain,
( $false
| ~ spl0_69
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f926,f74]) ).
fof(f928,plain,
( ~ spl0_69
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f927]) ).
fof(f939,plain,
( equalish(e_1,e_4)
| ~ spl0_66
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f336,f641]) ).
fof(f940,plain,
( $false
| ~ spl0_66
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f939,f70]) ).
fof(f941,plain,
( ~ spl0_66
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f940]) ).
fof(f942,plain,
( product(e_2,e_1,e_3)
| ~ spl0_65
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f333,f849]) ).
fof(f943,plain,
( spl0_17
| ~ spl0_65
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f942,f166,f332,f266]) ).
fof(f944,plain,
( equalish(e_2,e_3)
| ~ spl0_65
| ~ spl0_70 ),
inference(resolution,[status(thm)],[f333,f920]) ).
fof(f945,plain,
( $false
| ~ spl0_65
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f944,f73]) ).
fof(f946,plain,
( ~ spl0_65
| ~ spl0_70 ),
inference(contradiction_clause,[status(thm)],[f945]) ).
fof(f950,plain,
! [X0] :
( ~ product(e_3,e_4,X0)
| product(e_2,X0,e_4)
| ~ spl0_66 ),
inference(resolution,[status(thm)],[f336,f97]) ).
fof(f953,plain,
( equalish(e_4,e_5)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f328,f100]) ).
fof(f954,plain,
( $false
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f953,f83]) ).
fof(f955,plain,
~ spl0_64,
inference(contradiction_clause,[status(thm)],[f954]) ).
fof(f959,plain,
( product(e_2,e_2,e_4)
| ~ spl0_66
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f950,f267]) ).
fof(f960,plain,
( spl0_13
| ~ spl0_66
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f959,f152,f335,f266]) ).
fof(f961,plain,
! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(e_4,X0)
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f333,f94]) ).
fof(f962,plain,
! [X0] :
( ~ product(e_4,X0,e_1)
| equalish(e_3,X0)
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f333,f92]) ).
fof(f964,plain,
! [X0] :
( ~ product(e_3,e_4,X0)
| product(e_1,X0,e_4)
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f333,f97]) ).
fof(f965,plain,
! [X0] :
( ~ product(X0,e_2,e_3)
| equalish(e_4,X0)
| ~ spl0_72 ),
inference(resolution,[status(thm)],[f356,f94]) ).
fof(f966,plain,
! [X0] :
( ~ product(e_4,X0,e_3)
| equalish(e_2,X0)
| ~ spl0_72 ),
inference(resolution,[status(thm)],[f356,f92]) ).
fof(f973,plain,
( equalish(e_4,e_2)
| ~ spl0_73 ),
inference(resolution,[status(thm)],[f359,f102]) ).
fof(f974,plain,
( $false
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f973,f81]) ).
fof(f975,plain,
~ spl0_73,
inference(contradiction_clause,[status(thm)],[f974]) ).
fof(f976,plain,
! [X0] :
( ~ product(X0,e_4,e_1)
| equalish(e_3,X0)
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f264,f94]) ).
fof(f979,plain,
! [X0] :
( ~ product(e_4,e_3,X0)
| product(e_1,X0,e_3)
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f264,f97]) ).
fof(f983,plain,
! [X0] :
( ~ product(e_4,e_2,X0)
| product(e_3,X0,e_2)
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f287,f97]) ).
fof(f984,plain,
( equalish(e_1,e_4)
| ~ spl0_61
| ~ spl0_76 ),
inference(resolution,[status(thm)],[f319,f910]) ).
fof(f985,plain,
( $false
| ~ spl0_61
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[status(thm)],[f984,f70]) ).
fof(f986,plain,
( ~ spl0_61
| ~ spl0_76 ),
inference(contradiction_clause,[status(thm)],[f985]) ).
fof(f990,plain,
( equalish(e_3,e_4)
| ~ spl0_60
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f316,f962]) ).
fof(f991,plain,
( $false
| ~ spl0_60
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f990,f78]) ).
fof(f992,plain,
( ~ spl0_60
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f991]) ).
fof(f993,plain,
( equalish(e_5,e_1)
| ~ spl0_99 ),
inference(resolution,[status(thm)],[f447,f104]) ).
fof(f994,plain,
( $false
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f993,f84]) ).
fof(f995,plain,
~ spl0_99,
inference(contradiction_clause,[status(thm)],[f994]) ).
fof(f996,plain,
( equalish(e_3,e_5)
| ~ spl0_98
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f444,f718]) ).
fof(f997,plain,
( $false
| ~ spl0_98
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f996,f79]) ).
fof(f998,plain,
( ~ spl0_98
| ~ spl0_28 ),
inference(contradiction_clause,[status(thm)],[f997]) ).
fof(f999,plain,
( product(e_2,e_4,e_1)
| ~ spl0_43
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f256,f644]) ).
fof(f1000,plain,
( spl0_50
| ~ spl0_43
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f999,f280,f255,f197]) ).
fof(f1002,plain,
( equalish(e_4,e_3)
| ~ spl0_68 ),
inference(resolution,[status(thm)],[f342,f102]) ).
fof(f1003,plain,
( $false
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f1002,f82]) ).
fof(f1004,plain,
~ spl0_68,
inference(contradiction_clause,[status(thm)],[f1003]) ).
fof(f1005,plain,
! [X0] :
( ~ product(X0,e_5,e_3)
| equalish(e_1,X0)
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f441,f94]) ).
fof(f1008,plain,
! [X0] :
( ~ product(e_5,e_1,X0)
| product(e_3,X0,e_1)
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f441,f97]) ).
fof(f1009,plain,
( equalish(e_3,e_5)
| ~ spl0_96
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f438,f642]) ).
fof(f1010,plain,
( $false
| ~ spl0_96
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f1009,f79]) ).
fof(f1011,plain,
( ~ spl0_96
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f1010]) ).
fof(f1013,plain,
( equalish(e_1,e_5)
| ~ spl0_95 ),
inference(resolution,[status(thm)],[f435,f102]) ).
fof(f1014,plain,
( $false
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f1013,f71]) ).
fof(f1015,plain,
~ spl0_95,
inference(contradiction_clause,[status(thm)],[f1014]) ).
fof(f1022,plain,
( equalish(e_3,e_5)
| ~ spl0_93
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f427,f688]) ).
fof(f1023,plain,
( $false
| ~ spl0_93
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1022,f79]) ).
fof(f1024,plain,
( ~ spl0_93
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f1023]) ).
fof(f1025,plain,
( equalish(e_1,e_5)
| ~ spl0_92
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f424,f580]) ).
fof(f1026,plain,
( $false
| ~ spl0_92
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f1025,f71]) ).
fof(f1027,plain,
( ~ spl0_92
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1026]) ).
fof(f1029,plain,
( equalish(e_2,e_5)
| ~ spl0_91 ),
inference(resolution,[status(thm)],[f421,f102]) ).
fof(f1030,plain,
( $false
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[status(thm)],[f1029,f75]) ).
fof(f1031,plain,
~ spl0_91,
inference(contradiction_clause,[status(thm)],[f1030]) ).
fof(f1032,plain,
( equalish(e_4,e_5)
| ~ spl0_90
| ~ spl0_50 ),
inference(resolution,[status(thm)],[f418,f830]) ).
fof(f1033,plain,
( $false
| ~ spl0_90
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f1032,f83]) ).
fof(f1034,plain,
( ~ spl0_90
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f1033]) ).
fof(f1035,plain,
! [X0] :
( ~ product(X0,e_5,e_4)
| equalish(e_2,X0)
| ~ spl0_93 ),
inference(resolution,[status(thm)],[f427,f94]) ).
fof(f1036,plain,
! [X0] :
( ~ product(e_2,X0,e_4)
| equalish(e_5,X0)
| ~ spl0_93 ),
inference(resolution,[status(thm)],[f427,f92]) ).
fof(f1042,plain,
( equalish(e_2,e_5)
| ~ spl0_88
| ~ spl0_38 ),
inference(resolution,[status(thm)],[f410,f742]) ).
fof(f1043,plain,
( $false
| ~ spl0_88
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1042,f75]) ).
fof(f1044,plain,
( ~ spl0_88
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1043]) ).
fof(f1048,plain,
( equalish(e_4,e_5)
| ~ spl0_86
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f404,f847]) ).
fof(f1049,plain,
( $false
| ~ spl0_86
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f1048,f83]) ).
fof(f1050,plain,
( ~ spl0_86
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f1049]) ).
fof(f1051,plain,
! [X0] :
( ~ product(X0,e_5,e_1)
| equalish(e_3,X0)
| ~ spl0_85 ),
inference(resolution,[status(thm)],[f401,f94]) ).
fof(f1054,plain,
! [X0] :
( ~ product(e_5,e_3,X0)
| product(e_1,X0,e_3)
| ~ spl0_85 ),
inference(resolution,[status(thm)],[f401,f97]) ).
fof(f1058,plain,
( equalish(e_5,e_4)
| ~ spl0_84 ),
inference(resolution,[status(thm)],[f396,f104]) ).
fof(f1059,plain,
( $false
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f1058,f87]) ).
fof(f1060,plain,
~ spl0_84,
inference(contradiction_clause,[status(thm)],[f1059]) ).
fof(f1064,plain,
( equalish(e_2,e_5)
| ~ spl0_82
| ~ spl0_72 ),
inference(resolution,[status(thm)],[f390,f966]) ).
fof(f1065,plain,
( $false
| ~ spl0_82
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f1064,f75]) ).
fof(f1066,plain,
( ~ spl0_82
| ~ spl0_72 ),
inference(contradiction_clause,[status(thm)],[f1065]) ).
fof(f1067,plain,
( equalish(e_1,e_5)
| ~ spl0_81
| ~ spl0_76 ),
inference(resolution,[status(thm)],[f387,f910]) ).
fof(f1068,plain,
( $false
| ~ spl0_81
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[status(thm)],[f1067,f71]) ).
fof(f1069,plain,
( ~ spl0_81
| ~ spl0_76 ),
inference(contradiction_clause,[status(thm)],[f1068]) ).
fof(f1073,plain,
( equalish(e_3,e_5)
| ~ spl0_80
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f384,f962]) ).
fof(f1074,plain,
( $false
| ~ spl0_80
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f1073,f79]) ).
fof(f1075,plain,
( ~ spl0_80
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f1074]) ).
fof(f1076,plain,
! [X0] :
( ~ product(X0,e_5,e_2)
| equalish(e_4,X0)
| ~ spl0_81 ),
inference(resolution,[status(thm)],[f387,f94]) ).
fof(f1077,plain,
! [X0] :
( ~ product(e_4,X0,e_2)
| equalish(e_5,X0)
| ~ spl0_81 ),
inference(resolution,[status(thm)],[f387,f92]) ).
fof(f1079,plain,
! [X0] :
( ~ product(e_5,e_4,X0)
| product(e_2,X0,e_4)
| ~ spl0_81 ),
inference(resolution,[status(thm)],[f387,f97]) ).
fof(f1083,plain,
( product(e_3,e_4,e_1)
| ~ spl0_123
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f530,f1008]) ).
fof(f1084,plain,
( spl0_45
| ~ spl0_123
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f1083,f263,f529,f440]) ).
fof(f1085,plain,
( equalish(e_3,e_5)
| ~ spl0_123
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f530,f697]) ).
fof(f1086,plain,
( $false
| ~ spl0_123
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f1085,f79]) ).
fof(f1087,plain,
( ~ spl0_123
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f1086]) ).
fof(f1088,plain,
( product(e_3,e_3,e_1)
| ~ spl0_122
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f527,f1008]) ).
fof(f1089,plain,
( spl0_30
| ~ spl0_122
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f1088,f212,f526,f440]) ).
fof(f1093,plain,
( product(e_3,e_2,e_1)
| ~ spl0_121
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f524,f1008]) ).
fof(f1095,plain,
! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(e_5,X0)
| ~ spl0_121 ),
inference(resolution,[status(thm)],[f524,f94]) ).
fof(f1096,plain,
! [X0] :
( ~ product(e_5,X0,e_2)
| equalish(e_1,X0)
| ~ spl0_121 ),
inference(resolution,[status(thm)],[f524,f92]) ).
fof(f1098,plain,
! [X0] :
( ~ product(e_1,e_5,X0)
| product(e_2,X0,e_5)
| ~ spl0_121 ),
inference(resolution,[status(thm)],[f524,f97]) ).
fof(f1102,plain,
( equalish(e_1,e_5)
| ~ spl0_120 ),
inference(resolution,[status(thm)],[f521,f104]) ).
fof(f1103,plain,
( $false
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[status(thm)],[f1102,f71]) ).
fof(f1104,plain,
~ spl0_120,
inference(contradiction_clause,[status(thm)],[f1103]) ).
fof(f1109,plain,
( equalish(e_1,e_5)
| ~ spl0_118
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f513,f637]) ).
fof(f1110,plain,
( $false
| ~ spl0_118
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f1109,f71]) ).
fof(f1111,plain,
( ~ spl0_118
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f1110]) ).
fof(f1117,plain,
! [X0] :
( ~ product(e_1,X0,e_4)
| equalish(e_5,X0)
| ~ spl0_98 ),
inference(resolution,[status(thm)],[f444,f92]) ).
fof(f1119,plain,
! [X0] :
( ~ product(e_5,e_1,X0)
| product(e_4,X0,e_1)
| ~ spl0_98 ),
inference(resolution,[status(thm)],[f444,f97]) ).
fof(f1120,plain,
( product(e_4,e_2,e_1)
| ~ spl0_98
| ~ spl0_121 ),
inference(resolution,[status(thm)],[f1119,f524]) ).
fof(f1121,plain,
( spl0_70
| ~ spl0_98
| ~ spl0_121 ),
inference(split_clause,[status(thm)],[f1120,f349,f443,f523]) ).
fof(f1126,plain,
( equalish(e_1,e_5)
| ~ spl0_88
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f410,f698]) ).
fof(f1127,plain,
( $false
| ~ spl0_88
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f1126,f71]) ).
fof(f1128,plain,
( ~ spl0_88
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f1127]) ).
fof(f1129,plain,
( equalish(e_5,e_3)
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f413,f104]) ).
fof(f1130,plain,
( $false
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f1129,f86]) ).
fof(f1131,plain,
~ spl0_89,
inference(contradiction_clause,[status(thm)],[f1130]) ).
fof(f1134,plain,
! [X0] :
( ~ product(e_5,X0,e_3)
| equalish(e_1,X0)
| ~ spl0_122 ),
inference(resolution,[status(thm)],[f527,f92]) ).
fof(f1146,plain,
( equalish(e_2,e_3)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f150,f100]) ).
fof(f1147,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f1146,f73]) ).
fof(f1148,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f1147]) ).
fof(f1149,plain,
( product(e_3,e_5,e_1)
| ~ spl0_19
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f173,f556]) ).
fof(f1150,plain,
! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(e_2,X0)
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f178,f94]) ).
fof(f1157,plain,
! [X0] :
( ~ product(e_3,e_4,X0)
| product(e_5,X0,e_4)
| ~ spl0_69 ),
inference(resolution,[status(thm)],[f345,f97]) ).
fof(f1159,plain,
! [X0] :
( ~ product(e_5,X0,e_4)
| equalish(e_2,X0)
| ~ spl0_118 ),
inference(resolution,[status(thm)],[f513,f92]) ).
fof(f1162,plain,
( equalish(e_4,e_2)
| ~ spl0_53 ),
inference(resolution,[status(thm)],[f290,f104]) ).
fof(f1163,plain,
( $false
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f1162,f81]) ).
fof(f1164,plain,
~ spl0_53,
inference(contradiction_clause,[status(thm)],[f1163]) ).
fof(f1167,plain,
( equalish(e_3,e_5)
| ~ spl0_34 ),
inference(resolution,[status(thm)],[f225,f100]) ).
fof(f1168,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f1167,f79]) ).
fof(f1169,plain,
~ spl0_34,
inference(contradiction_clause,[status(thm)],[f1168]) ).
fof(f1170,plain,
( equalish(e_5,e_2)
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f430,f104]) ).
fof(f1171,plain,
( $false
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f1170,f85]) ).
fof(f1172,plain,
~ spl0_94,
inference(contradiction_clause,[status(thm)],[f1171]) ).
fof(f1174,plain,
( equalish(e_3,e_4)
| ~ spl0_67 ),
inference(resolution,[status(thm)],[f339,f104]) ).
fof(f1175,plain,
( $false
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f1174,f78]) ).
fof(f1176,plain,
~ spl0_67,
inference(contradiction_clause,[status(thm)],[f1175]) ).
fof(f1177,plain,
! [X0] :
( ~ product(X0,e_5,e_4)
| equalish(e_3,X0)
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f410,f94]) ).
fof(f1178,plain,
! [X0] :
( ~ product(e_3,X0,e_4)
| equalish(e_5,X0)
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f410,f92]) ).
fof(f1180,plain,
! [X0] :
( ~ product(e_5,e_3,X0)
| product(e_4,X0,e_3)
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f410,f97]) ).
fof(f1181,plain,
( equalish(e_2,e_4)
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f353,f104]) ).
fof(f1182,plain,
( $false
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f1181,f74]) ).
fof(f1183,plain,
~ spl0_71,
inference(contradiction_clause,[status(thm)],[f1182]) ).
fof(f1185,plain,
! [X0] :
( ~ product(e_2,X0,e_5)
| equalish(e_4,X0)
| ~ spl0_54 ),
inference(resolution,[status(thm)],[f293,f92]) ).
fof(f1187,plain,
! [X0] :
( ~ product(e_4,e_2,X0)
| product(e_5,X0,e_2)
| ~ spl0_54 ),
inference(resolution,[status(thm)],[f293,f97]) ).
fof(f1188,plain,
( equalish(e_4,e_3)
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f273,f104]) ).
fof(f1189,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f1188,f82]) ).
fof(f1190,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f1189]) ).
fof(f1191,plain,
( product(e_2,e_3,e_5)
| ~ spl0_121
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f1098,f441]) ).
fof(f1192,plain,
( spl0_24
| ~ spl0_121
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f1191,f189,f523,f440]) ).
fof(f1196,plain,
! [X0] :
( ~ product(e_5,e_2,X0)
| product(e_1,X0,e_2)
| ~ spl0_90 ),
inference(resolution,[status(thm)],[f418,f97]) ).
fof(f1199,plain,
! [X0] :
( ~ product(e_5,X0,e_4)
| equalish(e_1,X0)
| ~ spl0_123 ),
inference(resolution,[status(thm)],[f530,f92]) ).
fof(f1201,plain,
! [X0] :
( ~ product(e_1,e_5,X0)
| product(e_4,X0,e_5)
| ~ spl0_123 ),
inference(resolution,[status(thm)],[f530,f97]) ).
fof(f1202,plain,
( product(e_1,e_3,e_2)
| ~ spl0_117
| ~ spl0_90 ),
inference(resolution,[status(thm)],[f510,f1196]) ).
fof(f1203,plain,
( spl0_26
| ~ spl0_117
| ~ spl0_90 ),
inference(split_clause,[status(thm)],[f1202,f197,f509,f417]) ).
fof(f1204,plain,
( equalish(e_4,e_5)
| ~ spl0_117
| ~ spl0_72 ),
inference(resolution,[status(thm)],[f510,f965]) ).
fof(f1205,plain,
( $false
| ~ spl0_117
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f1204,f83]) ).
fof(f1206,plain,
( ~ spl0_117
| ~ spl0_72 ),
inference(contradiction_clause,[status(thm)],[f1205]) ).
fof(f1209,plain,
( equalish(e_2,e_5)
| ~ spl0_116 ),
inference(resolution,[status(thm)],[f507,f104]) ).
fof(f1210,plain,
( $false
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[status(thm)],[f1209,f75]) ).
fof(f1211,plain,
~ spl0_116,
inference(contradiction_clause,[status(thm)],[f1210]) ).
fof(f1212,plain,
( product(e_1,e_1,e_2)
| ~ spl0_115
| ~ spl0_90 ),
inference(resolution,[status(thm)],[f504,f1196]) ).
fof(f1213,plain,
! [X0] :
( ~ product(X0,e_2,e_1)
| equalish(e_5,X0)
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f504,f94]) ).
fof(f1214,plain,
! [X0] :
( ~ product(e_5,X0,e_1)
| equalish(e_2,X0)
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f504,f92]) ).
fof(f1216,plain,
! [X0] :
( ~ product(e_2,e_5,X0)
| product(e_1,X0,e_5)
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f504,f97]) ).
fof(f1224,plain,
( equalish(e_5,e_3)
| ~ spl0_114 ),
inference(resolution,[status(thm)],[f499,f102]) ).
fof(f1225,plain,
( $false
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[status(thm)],[f1224,f86]) ).
fof(f1226,plain,
~ spl0_114,
inference(contradiction_clause,[status(thm)],[f1225]) ).
fof(f1227,plain,
( product(e_1,e_4,e_3)
| ~ spl0_113
| ~ spl0_85 ),
inference(resolution,[status(thm)],[f496,f1054]) ).
fof(f1228,plain,
( spl0_57
| ~ spl0_113
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f1227,f303,f495,f400]) ).
fof(f1229,plain,
( equalish(e_2,e_3)
| ~ spl0_113
| ~ spl0_118 ),
inference(resolution,[status(thm)],[f496,f1159]) ).
fof(f1230,plain,
( $false
| ~ spl0_113
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[status(thm)],[f1229,f73]) ).
fof(f1231,plain,
( ~ spl0_113
| ~ spl0_118 ),
inference(contradiction_clause,[status(thm)],[f1230]) ).
fof(f1234,plain,
( equalish(e_3,e_5)
| ~ spl0_112 ),
inference(resolution,[status(thm)],[f493,f104]) ).
fof(f1235,plain,
( $false
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[status(thm)],[f1234,f79]) ).
fof(f1236,plain,
~ spl0_112,
inference(contradiction_clause,[status(thm)],[f1235]) ).
fof(f1237,plain,
! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(e_5,X0)
| ~ spl0_111 ),
inference(resolution,[status(thm)],[f490,f94]) ).
fof(f1240,plain,
! [X0] :
( ~ product(e_3,e_5,X0)
| product(e_2,X0,e_5)
| ~ spl0_111 ),
inference(resolution,[status(thm)],[f490,f97]) ).
fof(f1247,plain,
( product(e_1,e_1,e_3)
| ~ spl0_110
| ~ spl0_85 ),
inference(resolution,[status(thm)],[f487,f1054]) ).
fof(f1248,plain,
( equalish(e_4,e_5)
| ~ spl0_110
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f487,f961]) ).
fof(f1249,plain,
( $false
| ~ spl0_110
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f1248,f83]) ).
fof(f1250,plain,
( ~ spl0_110
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f1249]) ).
fof(f1251,plain,
( equalish(e_1,e_5)
| ~ spl0_113
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f496,f717]) ).
fof(f1252,plain,
( $false
| ~ spl0_113
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f1251,f71]) ).
fof(f1253,plain,
( ~ spl0_113
| ~ spl0_28 ),
inference(contradiction_clause,[status(thm)],[f1252]) ).
fof(f1258,plain,
! [X0] :
( ~ product(X0,e_5,e_2)
| equalish(e_3,X0)
| ~ spl0_86 ),
inference(resolution,[status(thm)],[f404,f94]) ).
fof(f1265,plain,
! [X0] :
( ~ product(e_4,e_3,X0)
| product(e_5,X0,e_3)
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f276,f97]) ).
fof(f1267,plain,
( equalish(e_5,e_4)
| ~ spl0_109 ),
inference(resolution,[status(thm)],[f482,f102]) ).
fof(f1268,plain,
( $false
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[status(thm)],[f1267,f87]) ).
fof(f1269,plain,
~ spl0_109,
inference(contradiction_clause,[status(thm)],[f1268]) ).
fof(f1275,plain,
( product(e_2,e_3,e_4)
| ~ spl0_107
| ~ spl0_81 ),
inference(resolution,[status(thm)],[f476,f1079]) ).
fof(f1276,plain,
( spl0_23
| ~ spl0_107
| ~ spl0_81 ),
inference(split_clause,[status(thm)],[f1275,f186,f475,f386]) ).
fof(f1277,plain,
( equalish(e_1,e_4)
| ~ spl0_107
| ~ spl0_122 ),
inference(resolution,[status(thm)],[f476,f1134]) ).
fof(f1278,plain,
( $false
| ~ spl0_107
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[status(thm)],[f1277,f70]) ).
fof(f1279,plain,
( ~ spl0_107
| ~ spl0_122 ),
inference(contradiction_clause,[status(thm)],[f1278]) ).
fof(f1280,plain,
( product(e_2,e_2,e_4)
| ~ spl0_106
| ~ spl0_81 ),
inference(resolution,[status(thm)],[f473,f1079]) ).
fof(f1281,plain,
( spl0_13
| ~ spl0_106
| ~ spl0_81 ),
inference(split_clause,[status(thm)],[f1280,f152,f472,f386]) ).
fof(f1282,plain,
! [X0] :
( ~ product(X0,e_4,e_2)
| equalish(e_5,X0)
| ~ spl0_106 ),
inference(resolution,[status(thm)],[f473,f94]) ).
fof(f1283,plain,
! [X0] :
( ~ product(e_5,X0,e_2)
| equalish(e_4,X0)
| ~ spl0_106 ),
inference(resolution,[status(thm)],[f473,f92]) ).
fof(f1285,plain,
! [X0] :
( ~ product(e_4,e_5,X0)
| product(e_2,X0,e_5)
| ~ spl0_106 ),
inference(resolution,[status(thm)],[f473,f97]) ).
fof(f1286,plain,
( product(e_5,e_4,e_2)
| ~ spl0_38
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f239,f654]) ).
fof(f1287,plain,
( spl0_106
| ~ spl0_38
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1286,f472,f238,f189]) ).
fof(f1288,plain,
( equalish(e_2,e_5)
| ~ spl0_113
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f496,f687]) ).
fof(f1289,plain,
( $false
| ~ spl0_113
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1288,f75]) ).
fof(f1290,plain,
( ~ spl0_113
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f1289]) ).
fof(f1291,plain,
( equalish(e_2,e_3)
| ~ spl0_88
| ~ spl0_93 ),
inference(resolution,[status(thm)],[f410,f1035]) ).
fof(f1292,plain,
( $false
| ~ spl0_88
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[status(thm)],[f1291,f73]) ).
fof(f1293,plain,
( ~ spl0_88
| ~ spl0_93 ),
inference(contradiction_clause,[status(thm)],[f1292]) ).
fof(f1294,plain,
( equalish(e_1,e_3)
| ~ spl0_113
| ~ spl0_123 ),
inference(resolution,[status(thm)],[f496,f1199]) ).
fof(f1295,plain,
( $false
| ~ spl0_113
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[status(thm)],[f1294,f69]) ).
fof(f1296,plain,
( ~ spl0_113
| ~ spl0_123 ),
inference(contradiction_clause,[status(thm)],[f1295]) ).
fof(f1298,plain,
( product(e_2,e_5,e_1)
| ~ spl0_44
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f259,f644]) ).
fof(f1299,plain,
( spl0_90
| ~ spl0_44
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f1298,f417,f258,f197]) ).
fof(f1302,plain,
( equalish(e_4,e_1)
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f376,f102]) ).
fof(f1303,plain,
( $false
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f1302,f80]) ).
fof(f1304,plain,
~ spl0_78,
inference(contradiction_clause,[status(thm)],[f1303]) ).
fof(f1307,plain,
( equalish(e_5,e_1)
| ~ spl0_124 ),
inference(resolution,[status(thm)],[f533,f102]) ).
fof(f1308,plain,
( $false
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f1307,f84]) ).
fof(f1309,plain,
~ spl0_124,
inference(contradiction_clause,[status(thm)],[f1308]) ).
fof(f1311,plain,
! [X0] :
( ~ product(e_4,X0,e_5)
| equalish(e_2,X0)
| ~ spl0_74 ),
inference(resolution,[status(thm)],[f362,f92]) ).
fof(f1314,plain,
( product(e_1,e_5,e_2)
| ~ spl0_74
| ~ spl0_50 ),
inference(resolution,[status(thm)],[f362,f832]) ).
fof(f1315,plain,
( equalish(e_1,e_4)
| ~ spl0_82
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f390,f1005]) ).
fof(f1316,plain,
( $false
| ~ spl0_82
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f1315,f70]) ).
fof(f1317,plain,
( ~ spl0_82
| ~ spl0_97 ),
inference(contradiction_clause,[status(thm)],[f1316]) ).
fof(f1321,plain,
( equalish(e_1,e_2)
| ~ spl0_115
| ~ spl0_90 ),
inference(resolution,[status(thm)],[f1212,f100]) ).
fof(f1322,plain,
( $false
| ~ spl0_115
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[status(thm)],[f1321,f68]) ).
fof(f1323,plain,
( ~ spl0_115
| ~ spl0_90 ),
inference(contradiction_clause,[status(thm)],[f1322]) ).
fof(f1324,plain,
( equalish(e_2,e_4)
| ~ spl0_105
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f470,f1214]) ).
fof(f1325,plain,
( $false
| ~ spl0_105
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f1324,f74]) ).
fof(f1326,plain,
( ~ spl0_105
| ~ spl0_115 ),
inference(contradiction_clause,[status(thm)],[f1325]) ).
fof(f1330,plain,
! [X0] :
( ~ product(e_4,e_5,X0)
| product(e_1,X0,e_5)
| ~ spl0_105 ),
inference(resolution,[status(thm)],[f470,f97]) ).
fof(f1331,plain,
( product(e_2,e_1,e_4)
| ~ spl0_105
| ~ spl0_81 ),
inference(resolution,[status(thm)],[f470,f1079]) ).
fof(f1332,plain,
( spl0_18
| ~ spl0_105
| ~ spl0_81 ),
inference(split_clause,[status(thm)],[f1331,f169,f469,f386]) ).
fof(f1334,plain,
( equalish(e_5,e_2)
| ~ spl0_119 ),
inference(resolution,[status(thm)],[f516,f102]) ).
fof(f1335,plain,
( $false
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[status(thm)],[f1334,f85]) ).
fof(f1336,plain,
~ spl0_119,
inference(contradiction_clause,[status(thm)],[f1335]) ).
fof(f1338,plain,
! [X0] :
( ~ product(e_5,X0,e_3)
| equalish(e_2,X0)
| ~ spl0_117 ),
inference(resolution,[status(thm)],[f510,f92]) ).
fof(f1340,plain,
! [X0] :
( ~ product(e_2,e_5,X0)
| product(e_3,X0,e_5)
| ~ spl0_117 ),
inference(resolution,[status(thm)],[f510,f97]) ).
fof(f1344,plain,
( equalish(e_1,e_5)
| ~ spl0_102
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f459,f1005]) ).
fof(f1345,plain,
( $false
| ~ spl0_102
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f1344,f71]) ).
fof(f1346,plain,
( ~ spl0_102
| ~ spl0_97 ),
inference(contradiction_clause,[status(thm)],[f1345]) ).
fof(f1355,plain,
( equalish(e_3,e_5)
| ~ spl0_45
| ~ spl0_105 ),
inference(resolution,[status(thm)],[f976,f470]) ).
fof(f1356,plain,
( $false
| ~ spl0_45
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f1355,f79]) ).
fof(f1357,plain,
( ~ spl0_45
| ~ spl0_105 ),
inference(contradiction_clause,[status(thm)],[f1356]) ).
fof(f1361,plain,
( equalish(e_1,e_5)
| ~ spl0_101
| ~ spl0_121 ),
inference(resolution,[status(thm)],[f456,f1096]) ).
fof(f1362,plain,
( $false
| ~ spl0_101
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f1361,f71]) ).
fof(f1363,plain,
( ~ spl0_101
| ~ spl0_121 ),
inference(contradiction_clause,[status(thm)],[f1362]) ).
fof(f1364,plain,
! [X0] :
( ~ product(X0,e_5,e_3)
| equalish(e_4,X0)
| ~ spl0_82 ),
inference(resolution,[status(thm)],[f390,f94]) ).
fof(f1367,plain,
! [X0] :
( ~ product(e_5,e_4,X0)
| product(e_3,X0,e_4)
| ~ spl0_82 ),
inference(resolution,[status(thm)],[f390,f97]) ).
fof(f1368,plain,
( equalish(e_2,e_5)
| ~ spl0_50
| ~ spl0_105 ),
inference(resolution,[status(thm)],[f829,f470]) ).
fof(f1369,plain,
( $false
| ~ spl0_50
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f1368,f75]) ).
fof(f1370,plain,
( ~ spl0_50
| ~ spl0_105 ),
inference(contradiction_clause,[status(thm)],[f1369]) ).
fof(f1377,plain,
( product(e_3,e_1,e_4)
| ~ spl0_82
| ~ spl0_105 ),
inference(resolution,[status(thm)],[f1367,f470]) ).
fof(f1378,plain,
( spl0_43
| ~ spl0_82
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f1377,f255,f389,f469]) ).
fof(f1381,plain,
( equalish(e_2,e_4)
| ~ spl0_65
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f333,f1150]) ).
fof(f1382,plain,
( $false
| ~ spl0_65
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f1381,f74]) ).
fof(f1383,plain,
( ~ spl0_65
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f1382]) ).
fof(f1389,plain,
( equalish(e_4,e_5)
| ~ spl0_108 ),
inference(resolution,[status(thm)],[f479,f104]) ).
fof(f1390,plain,
( $false
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f1389,f83]) ).
fof(f1391,plain,
~ spl0_108,
inference(contradiction_clause,[status(thm)],[f1390]) ).
fof(f1393,plain,
( equalish(e_4,e_5)
| ~ spl0_83 ),
inference(resolution,[status(thm)],[f393,f102]) ).
fof(f1394,plain,
( $false
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f1393,f83]) ).
fof(f1395,plain,
~ spl0_83,
inference(contradiction_clause,[status(thm)],[f1394]) ).
fof(f1396,plain,
( product(e_3,e_5,e_1)
| ~ spl0_79
| ~ spl0_57 ),
inference(resolution,[status(thm)],[f379,f818]) ).
fof(f1397,plain,
( spl0_85
| ~ spl0_79
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1396,f400,f378,f303]) ).
fof(f1399,plain,
( equalish(e_2,e_1)
| ~ spl0_79
| ~ spl0_74 ),
inference(resolution,[status(thm)],[f379,f1311]) ).
fof(f1400,plain,
( $false
| ~ spl0_79
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f1399,f72]) ).
fof(f1401,plain,
( ~ spl0_79
| ~ spl0_74 ),
inference(contradiction_clause,[status(thm)],[f1400]) ).
fof(f1402,plain,
! [X0] :
( ~ product(X0,e_4,e_3)
| equalish(e_5,X0)
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f476,f94]) ).
fof(f1405,plain,
! [X0] :
( ~ product(e_4,e_5,X0)
| product(e_3,X0,e_5)
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f476,f97]) ).
fof(f1406,plain,
( product(e_3,e_4,e_2)
| ~ spl0_8
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f135,f582]) ).
fof(f1407,plain,
( spl0_46
| ~ spl0_8
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1406,f266,f134,f166]) ).
fof(f1409,plain,
( equalish(e_5,e_2)
| ~ spl0_8
| ~ spl0_98 ),
inference(resolution,[status(thm)],[f135,f1117]) ).
fof(f1410,plain,
( $false
| ~ spl0_8
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[status(thm)],[f1409,f85]) ).
fof(f1411,plain,
( ~ spl0_8
| ~ spl0_98 ),
inference(contradiction_clause,[status(thm)],[f1410]) ).
fof(f1412,plain,
( product(e_5,e_2,e_1)
| ~ spl0_76
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f370,f781]) ).
fof(f1413,plain,
( spl0_115
| ~ spl0_76
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1412,f503,f369,f309]) ).
fof(f1414,plain,
( spl0_85
| ~ spl0_19
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f1149,f400,f172,f131]) ).
fof(f1415,plain,
( product(e_5,e_3,e_1)
| ~ spl0_77
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f373,f781]) ).
fof(f1416,plain,
( spl0_110
| ~ spl0_77
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1415,f486,f372,f309]) ).
fof(f1420,plain,
( product(e_1,e_2,e_3)
| ~ spl0_111
| ~ spl0_85 ),
inference(resolution,[status(thm)],[f490,f1054]) ).
fof(f1421,plain,
( spl0_7
| ~ spl0_111
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f1420,f131,f489,f400]) ).
fof(f1423,plain,
( equalish(e_3,e_4)
| ~ spl0_79
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f379,f692]) ).
fof(f1424,plain,
( $false
| ~ spl0_79
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f1423,f78]) ).
fof(f1425,plain,
( ~ spl0_79
| ~ spl0_44 ),
inference(contradiction_clause,[status(thm)],[f1424]) ).
fof(f1429,plain,
( product(e_1,e_1,e_3)
| ~ spl0_45
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f979,f333]) ).
fof(f1430,plain,
( spl0_2
| ~ spl0_45
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f1429,f114,f263,f332]) ).
fof(f1435,plain,
( equalish(e_4,e_3)
| ~ spl0_62 ),
inference(resolution,[status(thm)],[f322,f100]) ).
fof(f1436,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f1435,f82]) ).
fof(f1437,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f1436]) ).
fof(f1441,plain,
! [X0] :
( ~ product(X0,e_5,e_2)
| equalish(e_1,X0)
| ~ spl0_96 ),
inference(resolution,[status(thm)],[f438,f94]) ).
fof(f1445,plain,
( product(e_5,e_5,e_1)
| ~ spl0_79
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f379,f781]) ).
fof(f1455,plain,
( equalish(e_4,e_1)
| ~ spl0_58 ),
inference(resolution,[status(thm)],[f307,f104]) ).
fof(f1456,plain,
( $false
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f1455,f80]) ).
fof(f1457,plain,
~ spl0_58,
inference(contradiction_clause,[status(thm)],[f1456]) ).
fof(f1459,plain,
( equalish(e_3,e_1)
| ~ spl0_8
| ~ spl0_38 ),
inference(resolution,[status(thm)],[f135,f741]) ).
fof(f1460,plain,
( $false
| ~ spl0_8
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1459,f76]) ).
fof(f1461,plain,
( ~ spl0_8
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1460]) ).
fof(f1470,plain,
( equalish(e_1,e_3)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f115,f100]) ).
fof(f1471,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f1470,f69]) ).
fof(f1472,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f1471]) ).
fof(f1473,plain,
( product(e_2,e_1,e_3)
| ~ spl0_46
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f849,f333]) ).
fof(f1475,plain,
( product(e_5,e_3,e_1)
| ~ spl0_46
| ~ spl0_65
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f1473,f546]) ).
fof(f1476,plain,
( spl0_110
| ~ spl0_46
| ~ spl0_65
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1475,f486,f266,f332,f137]) ).
fof(f1477,plain,
( product(e_5,e_1,e_2)
| ~ spl0_35
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f230,f654]) ).
fof(f1478,plain,
( spl0_121
| ~ spl0_35
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f1477,f523,f229,f189]) ).
fof(f1482,plain,
( equalish(e_3,e_5)
| ~ spl0_87 ),
inference(resolution,[status(thm)],[f407,f102]) ).
fof(f1483,plain,
( $false
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f1482,f79]) ).
fof(f1484,plain,
~ spl0_87,
inference(contradiction_clause,[status(thm)],[f1483]) ).
fof(f1486,plain,
( product(e_2,e_2,e_5)
| ~ spl0_74
| ~ spl0_50
| ~ spl0_121 ),
inference(resolution,[status(thm)],[f1314,f1098]) ).
fof(f1487,plain,
( spl0_14
| ~ spl0_74
| ~ spl0_50
| ~ spl0_121 ),
inference(split_clause,[status(thm)],[f1486,f155,f361,f280,f523]) ).
fof(f1488,plain,
( product(e_5,e_1,e_3)
| ~ spl0_65
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f333,f1265]) ).
fof(f1489,plain,
( spl0_122
| ~ spl0_65
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f1488,f526,f332,f275]) ).
fof(f1490,plain,
( product(e_4,e_1,e_2)
| ~ spl0_23
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f690,f230]) ).
fof(f1490_001,plain,
( product(e_4,e_1,e_2)
| ~ spl0_23
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f690,f230]) ).
fof(f1491,plain,
( product(e_2,e_2,e_1)
| ~ spl0_23
| ~ spl0_35
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f1490,f899]) ).
fof(f1492,plain,
( spl0_10
| ~ spl0_23
| ~ spl0_35
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1491,f143,f186,f229,f300]) ).
fof(f1493,plain,
( product(e_5,e_5,e_2)
| ~ spl0_74
| ~ spl0_54 ),
inference(resolution,[status(thm)],[f362,f1187]) ).
fof(f1496,plain,
( equalish(e_1,e_4)
| ~ spl0_74
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f362,f543]) ).
fof(f1497,plain,
( $false
| ~ spl0_74
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f1496,f70]) ).
fof(f1498,plain,
( ~ spl0_74
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f1497]) ).
fof(f1508,plain,
( equalish(e_1,e_3)
| ~ spl0_111
| ~ spl0_121 ),
inference(resolution,[status(thm)],[f490,f1096]) ).
fof(f1509,plain,
( $false
| ~ spl0_111
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f1508,f69]) ).
fof(f1510,plain,
( ~ spl0_111
| ~ spl0_121 ),
inference(contradiction_clause,[status(thm)],[f1509]) ).
fof(f1517,plain,
( product(e_4,e_4,e_3)
| ~ spl0_28
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f204,f700]) ).
fof(f1518,plain,
( spl0_62
| ~ spl0_28
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1517,f321,f203,f255]) ).
fof(f1521,plain,
( equalish(e_2,e_1)
| ~ spl0_28
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f204,f687]) ).
fof(f1522,plain,
( $false
| ~ spl0_28
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1521,f72]) ).
fof(f1523,plain,
( ~ spl0_28
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f1522]) ).
fof(f1548,plain,
( equalish(e_3,e_5)
| ~ spl0_118
| ~ spl0_38 ),
inference(resolution,[status(thm)],[f513,f741]) ).
fof(f1549,plain,
( $false
| ~ spl0_118
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1548,f79]) ).
fof(f1550,plain,
( ~ spl0_118
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f1549]) ).
fof(f1551,plain,
( equalish(e_2,e_1)
| ~ spl0_117
| ~ spl0_122 ),
inference(resolution,[status(thm)],[f1338,f527]) ).
fof(f1552,plain,
( $false
| ~ spl0_117
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[status(thm)],[f1551,f72]) ).
fof(f1553,plain,
( ~ spl0_117
| ~ spl0_122 ),
inference(contradiction_clause,[status(thm)],[f1552]) ).
fof(f1554,plain,
( product(e_1,e_5,e_4)
| ~ spl0_49
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f276,f964]) ).
fof(f1555,plain,
( spl0_98
| ~ spl0_49
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f1554,f443,f275,f332]) ).
fof(f1556,plain,
( product(e_1,e_2,e_3)
| ~ spl0_85
| ~ spl0_111 ),
inference(resolution,[status(thm)],[f1054,f490]) ).
fof(f1561,plain,
( product(e_2,e_2,e_4)
| ~ spl0_56
| ~ spl0_76 ),
inference(resolution,[status(thm)],[f301,f912]) ).
fof(f1562,plain,
( spl0_13
| ~ spl0_56
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f1561,f152,f300,f369]) ).
fof(f1565,plain,
( equalish(e_5,e_1)
| ~ spl0_56
| ~ spl0_106 ),
inference(resolution,[status(thm)],[f301,f1282]) ).
fof(f1566,plain,
( $false
| ~ spl0_56
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f1565,f84]) ).
fof(f1567,plain,
( ~ spl0_56
| ~ spl0_106 ),
inference(contradiction_clause,[status(thm)],[f1566]) ).
fof(f1568,plain,
( equalish(e_1,e_3)
| ~ spl0_49
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f276,f778]) ).
fof(f1569,plain,
( $false
| ~ spl0_49
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f1568,f69]) ).
fof(f1570,plain,
( ~ spl0_49
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f1569]) ).
fof(f1573,plain,
! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(e_5,X0)
| ~ spl0_110 ),
inference(resolution,[status(thm)],[f487,f94]) ).
fof(f1577,plain,
( spl0_2
| ~ spl0_110
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f1247,f114,f486,f400]) ).
fof(f1581,plain,
! [X0] :
( ~ product(e_5,e_4,X0)
| product(e_1,X0,e_4)
| ~ spl0_80 ),
inference(resolution,[status(thm)],[f384,f97]) ).
fof(f1582,plain,
( equalish(e_3,e_4)
| ~ spl0_80
| ~ spl0_85 ),
inference(resolution,[status(thm)],[f384,f1051]) ).
fof(f1583,plain,
( $false
| ~ spl0_80
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f1582,f78]) ).
fof(f1584,plain,
( ~ spl0_80
| ~ spl0_85 ),
inference(contradiction_clause,[status(thm)],[f1583]) ).
fof(f1585,plain,
( product(e_4,e_2,e_3)
| ~ spl0_111
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f490,f1180]) ).
fof(f1586,plain,
( spl0_72
| ~ spl0_111
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f1585,f355,f489,f409]) ).
fof(f1592,plain,
( spl0_76
| ~ spl0_23
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f1490,f369,f186,f229]) ).
fof(f1598,plain,
( product(e_1,e_4,e_2)
| ~ spl0_118
| ~ spl0_90 ),
inference(resolution,[status(thm)],[f513,f1196]) ).
fof(f1599,plain,
( spl0_56
| ~ spl0_118
| ~ spl0_90 ),
inference(split_clause,[status(thm)],[f1598,f300,f512,f417]) ).
fof(f1600,plain,
( product(e_2,e_5,e_3)
| ~ spl0_69
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f345,f849]) ).
fof(f1600_002,plain,
( product(e_2,e_5,e_3)
| ~ spl0_69
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f345,f849]) ).
fof(f1601,plain,
( product(e_3,e_3,e_5)
| ~ spl0_69
| ~ spl0_46
| ~ spl0_117 ),
inference(resolution,[status(thm)],[f1600,f1340]) ).
fof(f1602,plain,
( spl0_34
| ~ spl0_69
| ~ spl0_46
| ~ spl0_117 ),
inference(split_clause,[status(thm)],[f1601,f224,f344,f266,f509]) ).
fof(f1607,plain,
( product(e_1,e_1,e_4)
| ~ spl0_70
| ~ spl0_50 ),
inference(resolution,[status(thm)],[f922,f281]) ).
fof(f1608,plain,
( spl0_3
| ~ spl0_70
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f1607,f117,f349,f280]) ).
fof(f1611,plain,
( product(e_5,e_5,e_1)
| ~ spl0_19
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f173,f546]) ).
fof(f1612,plain,
( equalish(e_4,e_1)
| ~ spl0_19
| ~ spl0_54 ),
inference(resolution,[status(thm)],[f173,f1185]) ).
fof(f1613,plain,
( $false
| ~ spl0_19
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f1612,f80]) ).
fof(f1614,plain,
( ~ spl0_19
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f1613]) ).
fof(f1616,plain,
( product(e_4,e_4,e_5)
| ~ spl0_98
| ~ spl0_123 ),
inference(resolution,[status(thm)],[f444,f1201]) ).
fof(f1617,plain,
( spl0_64
| ~ spl0_98
| ~ spl0_123 ),
inference(split_clause,[status(thm)],[f1616,f327,f443,f529]) ).
fof(f1619,plain,
( equalish(e_3,e_1)
| ~ spl0_98
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f444,f1177]) ).
fof(f1620,plain,
( $false
| ~ spl0_98
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f1619,f76]) ).
fof(f1621,plain,
( ~ spl0_98
| ~ spl0_88 ),
inference(contradiction_clause,[status(thm)],[f1620]) ).
fof(f1637,plain,
( equalish(e_5,e_1)
| ~ spl0_57
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f304,f1402]) ).
fof(f1638,plain,
( $false
| ~ spl0_57
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[status(thm)],[f1637,f84]) ).
fof(f1639,plain,
( ~ spl0_57
| ~ spl0_107 ),
inference(contradiction_clause,[status(thm)],[f1638]) ).
fof(f1647,plain,
( equalish(e_4,e_3)
| ~ spl0_35
| ~ spl0_70 ),
inference(resolution,[status(thm)],[f230,f919]) ).
fof(f1648,plain,
( $false
| ~ spl0_35
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f1647,f82]) ).
fof(f1649,plain,
( ~ spl0_35
| ~ spl0_70 ),
inference(contradiction_clause,[status(thm)],[f1648]) ).
fof(f1650,plain,
( product(e_4,e_4,e_3)
| ~ spl0_23
| ~ spl0_38 ),
inference(resolution,[status(thm)],[f187,f744]) ).
fof(f1651,plain,
( spl0_62
| ~ spl0_23
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f1650,f321,f186,f238]) ).
fof(f1671,plain,
( equalish(e_1,e_2)
| ~ spl0_92
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f424,f1005]) ).
fof(f1672,plain,
( $false
| ~ spl0_92
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f1671,f68]) ).
fof(f1673,plain,
( ~ spl0_92
| ~ spl0_97 ),
inference(contradiction_clause,[status(thm)],[f1672]) ).
fof(f1675,plain,
( product(e_1,e_4,e_3)
| ~ spl0_35
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f760,f187]) ).
fof(f1676,plain,
( spl0_57
| ~ spl0_35
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1675,f303,f229,f186]) ).
fof(f1677,plain,
( product(e_5,e_5,e_3)
| ~ spl0_69
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f345,f1265]) ).
fof(f1679,plain,
( equalish(e_2,e_3)
| ~ spl0_69
| ~ spl0_74 ),
inference(resolution,[status(thm)],[f345,f1311]) ).
fof(f1680,plain,
( $false
| ~ spl0_69
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f1679,f73]) ).
fof(f1681,plain,
( ~ spl0_69
| ~ spl0_74 ),
inference(contradiction_clause,[status(thm)],[f1680]) ).
fof(f1683,plain,
( equalish(e_1,e_4)
| ~ spl0_69
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f345,f621]) ).
fof(f1684,plain,
( $false
| ~ spl0_69
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f1683,f70]) ).
fof(f1685,plain,
( ~ spl0_69
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f1684]) ).
fof(f1691,plain,
( spl0_100
| ~ spl0_19
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f1611,f452,f172,f137]) ).
fof(f1697,plain,
( equalish(e_2,e_4)
| ~ spl0_79
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f379,f568]) ).
fof(f1698,plain,
( $false
| ~ spl0_79
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f1697,f74]) ).
fof(f1699,plain,
( ~ spl0_79
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f1698]) ).
fof(f1713,plain,
( product(e_1,e_1,e_5)
| ~ spl0_105
| ~ spl0_80 ),
inference(resolution,[status(thm)],[f1330,f384]) ).
fof(f1714,plain,
( spl0_4
| ~ spl0_105
| ~ spl0_80 ),
inference(split_clause,[status(thm)],[f1713,f120,f469,f383]) ).
fof(f1717,plain,
( equalish(e_5,e_3)
| ~ spl0_41
| ~ spl0_121 ),
inference(resolution,[status(thm)],[f250,f1095]) ).
fof(f1718,plain,
( $false
| ~ spl0_41
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f1717,f86]) ).
fof(f1719,plain,
( ~ spl0_41
| ~ spl0_121 ),
inference(contradiction_clause,[status(thm)],[f1718]) ).
fof(f1722,plain,
( equalish(e_4,e_2)
| ~ spl0_92
| ~ spl0_82 ),
inference(resolution,[status(thm)],[f424,f1364]) ).
fof(f1723,plain,
( $false
| ~ spl0_92
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f1722,f81]) ).
fof(f1724,plain,
( ~ spl0_92
| ~ spl0_82 ),
inference(contradiction_clause,[status(thm)],[f1723]) ).
fof(f1725,plain,
( spl0_92
| ~ spl0_69
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1600,f423,f344,f266]) ).
fof(f1732,plain,
( product(e_5,e_5,e_2)
| ~ spl0_39
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f242,f654]) ).
fof(f1733,plain,
( equalish(e_4,e_5)
| ~ spl0_39
| ~ spl0_24
| ~ spl0_106 ),
inference(resolution,[status(thm)],[f1732,f1283]) ).
fof(f1734,plain,
( $false
| ~ spl0_39
| ~ spl0_24
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f1733,f83]) ).
fof(f1735,plain,
( ~ spl0_39
| ~ spl0_24
| ~ spl0_106 ),
inference(contradiction_clause,[status(thm)],[f1734]) ).
fof(f1740,plain,
( equalish(e_5,e_1)
| ~ spl0_18
| ~ spl0_93 ),
inference(resolution,[status(thm)],[f170,f1036]) ).
fof(f1741,plain,
( $false
| ~ spl0_18
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[status(thm)],[f1740,f84]) ).
fof(f1742,plain,
( ~ spl0_18
| ~ spl0_93 ),
inference(contradiction_clause,[status(thm)],[f1741]) ).
fof(f1743,plain,
( product(e_2,e_3,e_4)
| ~ spl0_76
| ~ spl0_57 ),
inference(resolution,[status(thm)],[f912,f304]) ).
fof(f1744,plain,
( spl0_23
| ~ spl0_76
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1743,f186,f369,f303]) ).
fof(f1746,plain,
( product(e_2,e_3,e_5)
| ~ spl0_82
| ~ spl0_106 ),
inference(resolution,[status(thm)],[f390,f1285]) ).
fof(f1747,plain,
( spl0_24
| ~ spl0_82
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f1746,f189,f389,f472]) ).
fof(f1748,plain,
( equalish(e_1,e_5)
| ~ spl0_82
| ~ spl0_77 ),
inference(resolution,[status(thm)],[f390,f871]) ).
fof(f1749,plain,
( $false
| ~ spl0_82
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f1748,f71]) ).
fof(f1750,plain,
( ~ spl0_82
| ~ spl0_77 ),
inference(contradiction_clause,[status(thm)],[f1749]) ).
fof(f1751,plain,
( product(e_3,e_5,e_2)
| ~ spl0_9
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f138,f582]) ).
fof(f1760,plain,
( equalish(e_4,e_3)
| ~ spl0_81
| ~ spl0_9
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f1076,f1751]) ).
fof(f1761,plain,
( $false
| ~ spl0_81
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f1760,f82]) ).
fof(f1762,plain,
( ~ spl0_81
| ~ spl0_9
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1761]) ).
fof(f1763,plain,
( equalish(e_3,e_2)
| ~ spl0_19
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f173,f692]) ).
fof(f1764,plain,
( $false
| ~ spl0_19
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f1763,f77]) ).
fof(f1765,plain,
( ~ spl0_19
| ~ spl0_44 ),
inference(contradiction_clause,[status(thm)],[f1764]) ).
fof(f1768,plain,
( equalish(e_5,e_1)
| ~ spl0_100 ),
inference(resolution,[status(thm)],[f453,f100]) ).
fof(f1769,plain,
( $false
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f1768,f84]) ).
fof(f1770,plain,
~ spl0_100,
inference(contradiction_clause,[status(thm)],[f1769]) ).
fof(f1771,plain,
( product(e_5,e_2,e_1)
| ~ spl0_41
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f250,f624]) ).
fof(f1772,plain,
( spl0_115
| ~ spl0_41
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f1771,f503,f249,f206]) ).
fof(f1789,plain,
( product(e_1,e_2,e_3)
| ~ spl0_66
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f336,f979]) ).
fof(f1790,plain,
( spl0_7
| ~ spl0_66
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f1789,f131,f335,f263]) ).
fof(f1792,plain,
( equalish(e_5,e_3)
| ~ spl0_66
| ~ spl0_81 ),
inference(resolution,[status(thm)],[f336,f1077]) ).
fof(f1793,plain,
( $false
| ~ spl0_66
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[status(thm)],[f1792,f86]) ).
fof(f1794,plain,
( ~ spl0_66
| ~ spl0_81 ),
inference(contradiction_clause,[status(thm)],[f1793]) ).
fof(f1817,plain,
( equalish(e_5,e_4)
| ~ spl0_111
| ~ spl0_66 ),
inference(resolution,[status(thm)],[f1237,f336]) ).
fof(f1818,plain,
( $false
| ~ spl0_111
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f1817,f87]) ).
fof(f1819,plain,
( ~ spl0_111
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f1818]) ).
fof(f1821,plain,
( product(e_2,e_2,e_5)
| ~ spl0_9
| ~ spl0_17
| ~ spl0_111 ),
inference(resolution,[status(thm)],[f1751,f1240]) ).
fof(f1822,plain,
( spl0_14
| ~ spl0_9
| ~ spl0_17
| ~ spl0_111 ),
inference(split_clause,[status(thm)],[f1821,f155,f137,f166,f489]) ).
fof(f1838,plain,
( equalish(e_5,e_4)
| ~ spl0_70
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f350,f1213]) ).
fof(f1839,plain,
( $false
| ~ spl0_70
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f1838,f87]) ).
fof(f1840,plain,
( ~ spl0_70
| ~ spl0_115 ),
inference(contradiction_clause,[status(thm)],[f1839]) ).
fof(f1853,plain,
( product(e_4,e_3,e_2)
| ~ spl0_85
| ~ spl0_111
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f1556,f615]) ).
fof(f1854,plain,
( spl0_66
| ~ spl0_85
| ~ spl0_111
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1853,f335,f400,f489,f169]) ).
fof(f1855,plain,
( product(e_5,e_1,e_2)
| ~ spl0_54
| ~ spl0_70 ),
inference(resolution,[status(thm)],[f1187,f350]) ).
fof(f1856,plain,
( spl0_121
| ~ spl0_54
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f1855,f523,f292,f349]) ).
fof(f1864,plain,
( product(e_4,e_2,e_5)
| ~ spl0_96
| ~ spl0_123 ),
inference(resolution,[status(thm)],[f438,f1201]) ).
fof(f1865,plain,
( spl0_74
| ~ spl0_96
| ~ spl0_123 ),
inference(split_clause,[status(thm)],[f1864,f361,f437,f529]) ).
fof(f1867,plain,
( equalish(e_4,e_5)
| ~ spl0_96
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f438,f897]) ).
fof(f1868,plain,
( $false
| ~ spl0_96
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f1867,f83]) ).
fof(f1869,plain,
( ~ spl0_96
| ~ spl0_56 ),
inference(contradiction_clause,[status(thm)],[f1868]) ).
fof(f1876,plain,
( product(e_3,e_3,e_5)
| ~ spl0_82
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f390,f1405]) ).
fof(f1877,plain,
( spl0_34
| ~ spl0_82
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f1876,f224,f389,f475]) ).
fof(f1885,plain,
( equalish(e_3,e_1)
| ~ spl0_96
| ~ spl0_86 ),
inference(resolution,[status(thm)],[f438,f1258]) ).
fof(f1886,plain,
( $false
| ~ spl0_96
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f1885,f76]) ).
fof(f1887,plain,
( ~ spl0_96
| ~ spl0_86 ),
inference(contradiction_clause,[status(thm)],[f1886]) ).
fof(f1893,plain,
( product(e_5,e_1,e_3)
| ~ spl0_20
| ~ spl0_39 ),
inference(resolution,[status(thm)],[f178,f728]) ).
fof(f1896,plain,
( equalish(e_5,e_2)
| ~ spl0_20
| ~ spl0_110 ),
inference(resolution,[status(thm)],[f178,f1573]) ).
fof(f1897,plain,
( $false
| ~ spl0_20
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f1896,f85]) ).
fof(f1898,plain,
( ~ spl0_20
| ~ spl0_110 ),
inference(contradiction_clause,[status(thm)],[f1897]) ).
fof(f1907,plain,
( equalish(e_5,e_1)
| ~ spl0_79
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f1445,f100]) ).
fof(f1908,plain,
( $false
| ~ spl0_79
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f1907,f84]) ).
fof(f1909,plain,
( ~ spl0_79
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f1908]) ).
fof(f1917,plain,
( equalish(e_5,e_3)
| ~ spl0_69
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f1677,f100]) ).
fof(f1918,plain,
( $false
| ~ spl0_69
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1917,f86]) ).
fof(f1919,plain,
( ~ spl0_69
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1918]) ).
fof(f1920,plain,
( product(e_4,e_1,e_3)
| ~ spl0_38
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f744,f178]) ).
fof(f1921,plain,
( spl0_77
| ~ spl0_38
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1920,f372,f238,f177]) ).
fof(f1923,plain,
( product(e_5,e_1,e_4)
| ~ spl0_45
| ~ spl0_69 ),
inference(resolution,[status(thm)],[f264,f1157]) ).
fof(f1924,plain,
( spl0_123
| ~ spl0_45
| ~ spl0_69 ),
inference(split_clause,[status(thm)],[f1923,f529,f263,f344]) ).
fof(f1925,plain,
( spl0_122
| ~ spl0_20
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f1893,f526,f177,f241]) ).
fof(f1931,plain,
( spl0_35
| ~ spl0_121
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f1093,f229,f523,f440]) ).
fof(f1935,plain,
( equalish(e_1,e_4)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f118,f100]) ).
fof(f1936,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f1935,f70]) ).
fof(f1937,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f1936]) ).
fof(f1938,plain,
( equalish(e_1,e_5)
| ~ spl0_74
| ~ spl0_54
| ~ spl0_96 ),
inference(resolution,[status(thm)],[f1493,f1441]) ).
fof(f1939,plain,
( $false
| ~ spl0_74
| ~ spl0_54
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f1938,f71]) ).
fof(f1940,plain,
( ~ spl0_74
| ~ spl0_54
| ~ spl0_96 ),
inference(contradiction_clause,[status(thm)],[f1939]) ).
fof(f1941,plain,
( product(e_3,e_3,e_4)
| ~ spl0_57
| ~ spl0_77 ),
inference(resolution,[status(thm)],[f304,f873]) ).
fof(f1949,plain,
( equalish(e_5,e_3)
| ~ spl0_57
| ~ spl0_77
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f1941,f1178]) ).
fof(f1950,plain,
( $false
| ~ spl0_57
| ~ spl0_77
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f1949,f86]) ).
fof(f1951,plain,
( ~ spl0_57
| ~ spl0_77
| ~ spl0_88 ),
inference(contradiction_clause,[status(thm)],[f1950]) ).
fof(f1974,plain,
( product(e_5,e_2,e_3)
| ~ spl0_66
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f336,f1265]) ).
fof(f1975,plain,
( spl0_117
| ~ spl0_66
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f1974,f509,f335,f275]) ).
fof(f1976,plain,
( equalish(e_1,e_3)
| ~ spl0_66
| ~ spl0_76 ),
inference(resolution,[status(thm)],[f336,f910]) ).
fof(f1977,plain,
( $false
| ~ spl0_66
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[status(thm)],[f1976,f69]) ).
fof(f1978,plain,
( ~ spl0_66
| ~ spl0_76 ),
inference(contradiction_clause,[status(thm)],[f1977]) ).
fof(f1979,plain,
( product(e_3,e_1,e_2)
| ~ spl0_52
| ~ spl0_70 ),
inference(resolution,[status(thm)],[f983,f350]) ).
fof(f1980,plain,
( spl0_41
| ~ spl0_52
| ~ spl0_70 ),
inference(split_clause,[status(thm)],[f1979,f249,f286,f349]) ).
fof(f1983,plain,
( product(e_2,e_1,e_5)
| ~ spl0_80
| ~ spl0_106 ),
inference(resolution,[status(thm)],[f384,f1285]) ).
fof(f1984,plain,
( spl0_19
| ~ spl0_80
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f1983,f172,f383,f472]) ).
fof(f1985,plain,
( product(e_1,e_2,e_4)
| ~ spl0_106
| ~ spl0_80 ),
inference(resolution,[status(thm)],[f473,f1581]) ).
fof(f1986,plain,
( spl0_8
| ~ spl0_106
| ~ spl0_80 ),
inference(split_clause,[status(thm)],[f1985,f134,f472,f383]) ).
fof(f1996,plain,
( equalish(e_2,e_5)
| ~ spl0_70
| ~ spl0_80 ),
inference(resolution,[status(thm)],[f920,f384]) ).
fof(f1997,plain,
( $false
| ~ spl0_70
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[status(thm)],[f1996,f75]) ).
fof(f1998,plain,
( ~ spl0_70
| ~ spl0_80 ),
inference(contradiction_clause,[status(thm)],[f1997]) ).
fof(f2006,plain,
( product(e_3,e_1,e_5)
| ~ spl0_107
| ~ spl0_80 ),
inference(resolution,[status(thm)],[f1405,f384]) ).
fof(f2007,plain,
( spl0_44
| ~ spl0_107
| ~ spl0_80 ),
inference(split_clause,[status(thm)],[f2006,f258,f475,f383]) ).
fof(f2014,plain,
( equalish(e_2,e_4)
| ~ spl0_45
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f264,f758]) ).
fof(f2015,plain,
( $false
| ~ spl0_45
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f2014,f74]) ).
fof(f2016,plain,
( ~ spl0_45
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f2015]) ).
fof(f2017,plain,
( product(e_1,e_3,e_5)
| ~ spl0_92
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f424,f1216]) ).
fof(f2018,plain,
( spl0_29
| ~ spl0_92
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f2017,f206,f423,f503]) ).
fof(f2019,plain,
$false,
inference(sat_refutation,[status(thm)],[f124,f141,f159,f176,f193,f210,f245,f262,f279,f296,f313,f348,f365,f382,f399,f416,f433,f450,f485,f502,f519,f536,f542,f566,f577,f592,f597,f602,f610,f620,f636,f660,f666,f669,f676,f680,f683,f709,f711,f724,f756,f769,f772,f777,f787,f797,f800,f803,f806,f811,f814,f824,f828,f838,f845,f852,f854,f879,f883,f886,f890,f902,f904,f907,f928,f941,f943,f946,f955,f960,f975,f986,f992,f995,f998,f1000,f1004,f1011,f1015,f1024,f1027,f1031,f1034,f1044,f1050,f1060,f1066,f1069,f1075,f1084,f1087,f1089,f1104,f1111,f1121,f1128,f1131,f1148,f1164,f1169,f1172,f1176,f1183,f1190,f1192,f1203,f1206,f1211,f1226,f1228,f1231,f1236,f1250,f1253,f1269,f1276,f1279,f1281,f1287,f1290,f1293,f1296,f1299,f1304,f1309,f1317,f1323,f1326,f1332,f1336,f1346,f1357,f1363,f1370,f1378,f1383,f1391,f1395,f1397,f1401,f1407,f1411,f1413,f1414,f1416,f1421,f1425,f1430,f1437,f1457,f1461,f1472,f1476,f1478,f1484,f1487,f1489,f1492,f1498,f1510,f1518,f1523,f1550,f1553,f1555,f1562,f1567,f1570,f1577,f1584,f1586,f1592,f1599,f1602,f1608,f1614,f1617,f1621,f1639,f1649,f1651,f1673,f1676,f1681,f1685,f1691,f1699,f1714,f1719,f1724,f1725,f1735,f1742,f1744,f1747,f1750,f1762,f1765,f1770,f1772,f1790,f1794,f1819,f1822,f1840,f1854,f1856,f1865,f1869,f1877,f1887,f1898,f1909,f1919,f1921,f1924,f1925,f1931,f1937,f1940,f1951,f1975,f1978,f1980,f1984,f1986,f1998,f2007,f2016,f2018]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : GRP125-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.04/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n027.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 11:48:02 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % Drodi V3.5.1
% 1.66/0.57 % Refutation found
% 1.66/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.66/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.81/0.59 % Elapsed time: 0.290518 seconds
% 1.81/0.59 % CPU time: 1.904195 seconds
% 1.81/0.59 % Memory used: 13.895 MB
%------------------------------------------------------------------------------