TSTP Solution File: GRP125-2.005 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : Tue Apr 30 20:19:21 EDT 2024
% Result : Unsatisfiable 4.13s 0.94s
% Output : CNFRefutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 150
% Syntax : Number of formulae : 791 ( 111 unt; 0 def)
% Number of atoms : 1924 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 2107 ( 974 ~;1018 |; 0 &)
% ( 115 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 121 ( 120 usr; 116 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 137 ( 137 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,X1] :
( ~ product(X,e_1,Y)
| ~ next(X,X1)
| ~ greater(Y,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X,Y,W,Z] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f58,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f59,plain,
greater(e_5,e_3),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f61,plain,
! [Y,X1] :
( ! [X] :
( ~ product(X,e_1,Y)
| ~ next(X,X1) )
| ~ greater(Y,X1) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| ~ greater(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f61]) ).
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_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)],[f88,f67]) ).
fof(f108,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)],[f88,f66]) ).
fof(f109,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)],[f88,f65]) ).
fof(f110,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)],[f88,f64]) ).
fof(f111,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)],[f88,f63]) ).
fof(f118,plain,
( spl0_2
<=> product(e_5,e_5,e_3) ),
introduced(split_symbol_definition) ).
fof(f119,plain,
( product(e_5,e_5,e_3)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,plain,
( spl0_3
<=> product(e_5,e_5,e_4) ),
introduced(split_symbol_definition) ).
fof(f122,plain,
( product(e_5,e_5,e_4)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f129,plain,
( spl0_5
<=> product(e_5,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f130,plain,
( product(e_5,e_4,e_1)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f138,plain,
( spl0_8
<=> product(e_5,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f139,plain,
( product(e_5,e_4,e_4)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,plain,
( spl0_9
<=> product(e_5,e_4,e_5) ),
introduced(split_symbol_definition) ).
fof(f142,plain,
( product(e_5,e_4,e_5)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f146,plain,
( spl0_10
<=> product(e_5,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f147,plain,
( product(e_5,e_3,e_1)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f148,plain,
( ~ product(e_5,e_3,e_1)
| spl0_10 ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( spl0_11
<=> product(e_5,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f150,plain,
( product(e_5,e_3,e_2)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( spl0_12
<=> product(e_5,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f153,plain,
( product(e_5,e_3,e_3)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,plain,
( spl0_13
<=> product(e_5,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f156,plain,
( product(e_5,e_3,e_4)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,plain,
( spl0_14
<=> product(e_5,e_3,e_5) ),
introduced(split_symbol_definition) ).
fof(f159,plain,
( product(e_5,e_3,e_5)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,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)],[f107,f65]) ).
fof(f162,plain,
( spl0_10
| spl0_11
| spl0_12
| spl0_13
| spl0_14 ),
inference(split_clause,[status(thm)],[f161,f146,f149,f152,f155,f158]) ).
fof(f163,plain,
( spl0_15
<=> product(e_5,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f164,plain,
( product(e_5,e_2,e_1)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,plain,
( spl0_16
<=> product(e_5,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f167,plain,
( product(e_5,e_2,e_2)
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,plain,
( spl0_17
<=> product(e_5,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f170,plain,
( product(e_5,e_2,e_3)
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( spl0_18
<=> product(e_5,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f173,plain,
( product(e_5,e_2,e_4)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( spl0_19
<=> product(e_5,e_2,e_5) ),
introduced(split_symbol_definition) ).
fof(f176,plain,
( product(e_5,e_2,e_5)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,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)],[f107,f64]) ).
fof(f179,plain,
( spl0_15
| spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f178,f163,f166,f169,f172,f175]) ).
fof(f180,plain,
( spl0_20
<=> product(e_5,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f181,plain,
( product(e_5,e_1,e_1)
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( spl0_21
<=> product(e_5,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f184,plain,
( product(e_5,e_1,e_2)
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,plain,
( spl0_22
<=> product(e_5,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f187,plain,
( product(e_5,e_1,e_3)
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( spl0_23
<=> product(e_5,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f190,plain,
( product(e_5,e_1,e_4)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,plain,
( spl0_24
<=> product(e_5,e_1,e_5) ),
introduced(split_symbol_definition) ).
fof(f193,plain,
( product(e_5,e_1,e_5)
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,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)],[f107,f63]) ).
fof(f196,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23
| spl0_24 ),
inference(split_clause,[status(thm)],[f195,f180,f183,f186,f189,f192]) ).
fof(f199,plain,
( equalish(e_5,e_1)
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f193,f102]) ).
fof(f200,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f199,f84]) ).
fof(f201,plain,
~ spl0_24,
inference(contradiction_clause,[status(thm)],[f200]) ).
fof(f203,plain,
! [X0] :
( ~ product(X0,e_1,e_4)
| equalish(e_5,X0)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f190,f94]) ).
fof(f204,plain,
! [X0] :
( ~ product(e_5,X0,e_4)
| equalish(e_1,X0)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f190,f92]) ).
fof(f206,plain,
! [X0] :
( ~ product(e_1,e_5,X0)
| product(e_4,X0,e_5)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f190,f97]) ).
fof(f216,plain,
! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(e_5,X0)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f184,f94]) ).
fof(f217,plain,
! [X0] :
( ~ product(e_5,X0,e_2)
| equalish(e_1,X0)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f184,f92]) ).
fof(f221,plain,
( equalish(e_1,e_5)
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f181,f104]) ).
fof(f222,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f221,f71]) ).
fof(f223,plain,
~ spl0_20,
inference(contradiction_clause,[status(thm)],[f222]) ).
fof(f225,plain,
( equalish(e_5,e_2)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f176,f102]) ).
fof(f226,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f225,f85]) ).
fof(f227,plain,
~ spl0_19,
inference(contradiction_clause,[status(thm)],[f226]) ).
fof(f232,plain,
! [X0] :
( ~ product(X0,e_2,e_3)
| equalish(e_5,X0)
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f170,f94]) ).
fof(f235,plain,
! [X0] :
( ~ product(e_2,e_5,X0)
| product(e_3,X0,e_5)
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f170,f97]) ).
fof(f236,plain,
( spl0_25
<=> product(e_4,e_5,e_1) ),
introduced(split_symbol_definition) ).
fof(f237,plain,
( product(e_4,e_5,e_1)
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( spl0_26
<=> product(e_4,e_5,e_2) ),
introduced(split_symbol_definition) ).
fof(f240,plain,
( product(e_4,e_5,e_2)
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f239]) ).
fof(f242,plain,
( spl0_27
<=> product(e_4,e_5,e_3) ),
introduced(split_symbol_definition) ).
fof(f243,plain,
( product(e_4,e_5,e_3)
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f242]) ).
fof(f245,plain,
( spl0_28
<=> product(e_4,e_5,e_4) ),
introduced(split_symbol_definition) ).
fof(f246,plain,
( product(e_4,e_5,e_4)
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,plain,
( spl0_29
<=> product(e_4,e_5,e_5) ),
introduced(split_symbol_definition) ).
fof(f249,plain,
( product(e_4,e_5,e_5)
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,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)],[f108,f67]) ).
fof(f252,plain,
( spl0_25
| spl0_26
| spl0_27
| spl0_28
| spl0_29 ),
inference(split_clause,[status(thm)],[f251,f236,f239,f242,f245,f248]) ).
fof(f259,plain,
( spl0_32
<=> product(e_4,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f260,plain,
( product(e_4,e_4,e_3)
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f265,plain,
( spl0_34
<=> product(e_4,e_4,e_5) ),
introduced(split_symbol_definition) ).
fof(f266,plain,
( product(e_4,e_4,e_5)
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f270,plain,
( spl0_35
<=> product(e_4,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f271,plain,
( product(e_4,e_3,e_1)
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( spl0_36
<=> product(e_4,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f274,plain,
( product(e_4,e_3,e_2)
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,plain,
( spl0_37
<=> product(e_4,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f277,plain,
( product(e_4,e_3,e_3)
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( spl0_38
<=> product(e_4,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f280,plain,
( product(e_4,e_3,e_4)
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,plain,
( spl0_39
<=> product(e_4,e_3,e_5) ),
introduced(split_symbol_definition) ).
fof(f283,plain,
( product(e_4,e_3,e_5)
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,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)],[f108,f65]) ).
fof(f286,plain,
( spl0_35
| spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f285,f270,f273,f276,f279,f282]) ).
fof(f287,plain,
( spl0_40
<=> product(e_4,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f288,plain,
( product(e_4,e_2,e_1)
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,plain,
( spl0_41
<=> product(e_4,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f291,plain,
( product(e_4,e_2,e_2)
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( spl0_42
<=> product(e_4,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f294,plain,
( product(e_4,e_2,e_3)
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f293]) ).
fof(f296,plain,
( spl0_43
<=> product(e_4,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f297,plain,
( product(e_4,e_2,e_4)
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f296]) ).
fof(f299,plain,
( spl0_44
<=> product(e_4,e_2,e_5) ),
introduced(split_symbol_definition) ).
fof(f300,plain,
( product(e_4,e_2,e_5)
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,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)],[f108,f64]) ).
fof(f303,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43
| spl0_44 ),
inference(split_clause,[status(thm)],[f302,f287,f290,f293,f296,f299]) ).
fof(f304,plain,
( spl0_45
<=> product(e_4,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f305,plain,
( product(e_4,e_1,e_1)
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( spl0_46
<=> product(e_4,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f308,plain,
( product(e_4,e_1,e_2)
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,plain,
( spl0_47
<=> product(e_4,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f311,plain,
( product(e_4,e_1,e_3)
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,plain,
( spl0_48
<=> product(e_4,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f314,plain,
( product(e_4,e_1,e_4)
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( spl0_49
<=> product(e_4,e_1,e_5) ),
introduced(split_symbol_definition) ).
fof(f317,plain,
( product(e_4,e_1,e_5)
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,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)],[f108,f63]) ).
fof(f320,plain,
( spl0_45
| spl0_46
| spl0_47
| spl0_48
| spl0_49 ),
inference(split_clause,[status(thm)],[f319,f304,f307,f310,f313,f316]) ).
fof(f321,plain,
( spl0_50
<=> product(e_3,e_5,e_1) ),
introduced(split_symbol_definition) ).
fof(f322,plain,
( product(e_3,e_5,e_1)
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,plain,
( spl0_51
<=> product(e_3,e_5,e_2) ),
introduced(split_symbol_definition) ).
fof(f325,plain,
( product(e_3,e_5,e_2)
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f326,plain,
( ~ product(e_3,e_5,e_2)
| spl0_51 ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( spl0_52
<=> product(e_3,e_5,e_3) ),
introduced(split_symbol_definition) ).
fof(f328,plain,
( product(e_3,e_5,e_3)
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,plain,
( spl0_53
<=> product(e_3,e_5,e_4) ),
introduced(split_symbol_definition) ).
fof(f331,plain,
( product(e_3,e_5,e_4)
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,plain,
( spl0_54
<=> product(e_3,e_5,e_5) ),
introduced(split_symbol_definition) ).
fof(f334,plain,
( product(e_3,e_5,e_5)
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,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)],[f109,f67]) ).
fof(f337,plain,
( spl0_50
| spl0_51
| spl0_52
| spl0_53
| spl0_54 ),
inference(split_clause,[status(thm)],[f336,f321,f324,f327,f330,f333]) ).
fof(f338,plain,
( spl0_55
<=> product(e_3,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f339,plain,
( product(e_3,e_4,e_1)
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( spl0_56
<=> product(e_3,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f342,plain,
( product(e_3,e_4,e_2)
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( spl0_57
<=> product(e_3,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f345,plain,
( product(e_3,e_4,e_3)
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( spl0_58
<=> product(e_3,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f348,plain,
( product(e_3,e_4,e_4)
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,plain,
( spl0_59
<=> product(e_3,e_4,e_5) ),
introduced(split_symbol_definition) ).
fof(f351,plain,
( product(e_3,e_4,e_5)
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,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)],[f109,f66]) ).
fof(f354,plain,
( spl0_55
| spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f353,f338,f341,f344,f347,f350]) ).
fof(f355,plain,
( spl0_60
<=> product(e_3,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f356,plain,
( product(e_3,e_3,e_1)
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( spl0_61
<=> product(e_3,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f359,plain,
( product(e_3,e_3,e_2)
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,plain,
( spl0_62
<=> product(e_3,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f364,plain,
( spl0_63
<=> product(e_3,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f365,plain,
( product(e_3,e_3,e_4)
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,plain,
( spl0_64
<=> product(e_3,e_3,e_5) ),
introduced(split_symbol_definition) ).
fof(f368,plain,
( product(e_3,e_3,e_5)
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f109,f65]) ).
fof(f371,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(split_clause,[status(thm)],[f370,f355,f358,f361,f364,f367]) ).
fof(f372,plain,
( spl0_65
<=> product(e_3,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f373,plain,
( product(e_3,e_2,e_1)
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,plain,
( spl0_66
<=> product(e_3,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f376,plain,
( product(e_3,e_2,e_2)
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( spl0_67
<=> product(e_3,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f379,plain,
( product(e_3,e_2,e_3)
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( spl0_68
<=> product(e_3,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f382,plain,
( product(e_3,e_2,e_4)
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,plain,
( spl0_69
<=> product(e_3,e_2,e_5) ),
introduced(split_symbol_definition) ).
fof(f385,plain,
( product(e_3,e_2,e_5)
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,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)],[f109,f64]) ).
fof(f388,plain,
( spl0_65
| spl0_66
| spl0_67
| spl0_68
| spl0_69 ),
inference(split_clause,[status(thm)],[f387,f372,f375,f378,f381,f384]) ).
fof(f389,plain,
( spl0_70
<=> product(e_3,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f390,plain,
( product(e_3,e_1,e_1)
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,plain,
( spl0_71
<=> product(e_3,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f393,plain,
( product(e_3,e_1,e_2)
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( spl0_72
<=> product(e_3,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f396,plain,
( product(e_3,e_1,e_3)
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( spl0_73
<=> product(e_3,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f399,plain,
( product(e_3,e_1,e_4)
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( spl0_74
<=> product(e_3,e_1,e_5) ),
introduced(split_symbol_definition) ).
fof(f402,plain,
( product(e_3,e_1,e_5)
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,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)],[f109,f63]) ).
fof(f405,plain,
( spl0_70
| spl0_71
| spl0_72
| spl0_73
| spl0_74 ),
inference(split_clause,[status(thm)],[f404,f389,f392,f395,f398,f401]) ).
fof(f406,plain,
( spl0_75
<=> product(e_2,e_5,e_1) ),
introduced(split_symbol_definition) ).
fof(f407,plain,
( product(e_2,e_5,e_1)
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f408,plain,
( ~ product(e_2,e_5,e_1)
| spl0_75 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( spl0_76
<=> product(e_2,e_5,e_2) ),
introduced(split_symbol_definition) ).
fof(f410,plain,
( product(e_2,e_5,e_2)
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,plain,
( spl0_77
<=> product(e_2,e_5,e_3) ),
introduced(split_symbol_definition) ).
fof(f413,plain,
( product(e_2,e_5,e_3)
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( spl0_78
<=> product(e_2,e_5,e_4) ),
introduced(split_symbol_definition) ).
fof(f416,plain,
( product(e_2,e_5,e_4)
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( spl0_79
<=> product(e_2,e_5,e_5) ),
introduced(split_symbol_definition) ).
fof(f419,plain,
( product(e_2,e_5,e_5)
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,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)],[f110,f67]) ).
fof(f422,plain,
( spl0_75
| spl0_76
| spl0_77
| spl0_78
| spl0_79 ),
inference(split_clause,[status(thm)],[f421,f406,f409,f412,f415,f418]) ).
fof(f423,plain,
( spl0_80
<=> product(e_2,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f424,plain,
( product(e_2,e_4,e_1)
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,plain,
( spl0_81
<=> product(e_2,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f427,plain,
( product(e_2,e_4,e_2)
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( spl0_82
<=> product(e_2,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f430,plain,
( product(e_2,e_4,e_3)
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,plain,
( spl0_83
<=> product(e_2,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f433,plain,
( product(e_2,e_4,e_4)
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,plain,
( spl0_84
<=> product(e_2,e_4,e_5) ),
introduced(split_symbol_definition) ).
fof(f436,plain,
( product(e_2,e_4,e_5)
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,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)],[f110,f66]) ).
fof(f439,plain,
( spl0_80
| spl0_81
| spl0_82
| spl0_83
| spl0_84 ),
inference(split_clause,[status(thm)],[f438,f423,f426,f429,f432,f435]) ).
fof(f440,plain,
( spl0_85
<=> product(e_2,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f441,plain,
( product(e_2,e_3,e_1)
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( spl0_86
<=> product(e_2,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f444,plain,
( product(e_2,e_3,e_2)
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,plain,
( spl0_87
<=> product(e_2,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f447,plain,
( product(e_2,e_3,e_3)
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( spl0_88
<=> product(e_2,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f450,plain,
( product(e_2,e_3,e_4)
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,plain,
( spl0_89
<=> product(e_2,e_3,e_5) ),
introduced(split_symbol_definition) ).
fof(f453,plain,
( product(e_2,e_3,e_5)
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f457,plain,
( spl0_90
<=> product(e_2,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f458,plain,
( product(e_2,e_2,e_1)
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f463,plain,
( spl0_92
<=> product(e_2,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f464,plain,
( product(e_2,e_2,e_3)
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f469,plain,
( spl0_94
<=> product(e_2,e_2,e_5) ),
introduced(split_symbol_definition) ).
fof(f470,plain,
( product(e_2,e_2,e_5)
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f474,plain,
( spl0_95
<=> product(e_2,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f475,plain,
( product(e_2,e_1,e_1)
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,plain,
( spl0_96
<=> product(e_2,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f478,plain,
( product(e_2,e_1,e_2)
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,plain,
( spl0_97
<=> product(e_2,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f481,plain,
( product(e_2,e_1,e_3)
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( spl0_98
<=> product(e_2,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( product(e_2,e_1,e_4)
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( spl0_99
<=> product(e_2,e_1,e_5) ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( product(e_2,e_1,e_5)
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,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)],[f110,f63]) ).
fof(f490,plain,
( spl0_95
| spl0_96
| spl0_97
| spl0_98
| spl0_99 ),
inference(split_clause,[status(thm)],[f489,f474,f477,f480,f483,f486]) ).
fof(f491,plain,
( spl0_100
<=> product(e_1,e_5,e_1) ),
introduced(split_symbol_definition) ).
fof(f492,plain,
( product(e_1,e_5,e_1)
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( spl0_101
<=> product(e_1,e_5,e_2) ),
introduced(split_symbol_definition) ).
fof(f495,plain,
( product(e_1,e_5,e_2)
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( spl0_102
<=> product(e_1,e_5,e_3) ),
introduced(split_symbol_definition) ).
fof(f498,plain,
( product(e_1,e_5,e_3)
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,plain,
( spl0_103
<=> product(e_1,e_5,e_4) ),
introduced(split_symbol_definition) ).
fof(f501,plain,
( product(e_1,e_5,e_4)
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( spl0_104
<=> product(e_1,e_5,e_5) ),
introduced(split_symbol_definition) ).
fof(f504,plain,
( product(e_1,e_5,e_5)
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,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)],[f111,f67]) ).
fof(f507,plain,
( spl0_100
| spl0_101
| spl0_102
| spl0_103
| spl0_104 ),
inference(split_clause,[status(thm)],[f506,f491,f494,f497,f500,f503]) ).
fof(f508,plain,
( spl0_105
<=> product(e_1,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f509,plain,
( product(e_1,e_4,e_1)
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( spl0_106
<=> product(e_1,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f512,plain,
( product(e_1,e_4,e_2)
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,plain,
( spl0_107
<=> product(e_1,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f515,plain,
( product(e_1,e_4,e_3)
| ~ spl0_107 ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,plain,
( spl0_108
<=> product(e_1,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f518,plain,
( product(e_1,e_4,e_4)
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,plain,
( spl0_109
<=> product(e_1,e_4,e_5) ),
introduced(split_symbol_definition) ).
fof(f521,plain,
( product(e_1,e_4,e_5)
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,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)],[f111,f66]) ).
fof(f524,plain,
( spl0_105
| spl0_106
| spl0_107
| spl0_108
| spl0_109 ),
inference(split_clause,[status(thm)],[f523,f508,f511,f514,f517,f520]) ).
fof(f525,plain,
( spl0_110
<=> product(e_1,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f526,plain,
( product(e_1,e_3,e_1)
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,plain,
( spl0_111
<=> product(e_1,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f529,plain,
( product(e_1,e_3,e_2)
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( spl0_112
<=> product(e_1,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f532,plain,
( product(e_1,e_3,e_3)
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,plain,
( spl0_113
<=> product(e_1,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f535,plain,
( product(e_1,e_3,e_4)
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( spl0_114
<=> product(e_1,e_3,e_5) ),
introduced(split_symbol_definition) ).
fof(f538,plain,
( product(e_1,e_3,e_5)
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f540,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)],[f111,f65]) ).
fof(f541,plain,
( spl0_110
| spl0_111
| spl0_112
| spl0_113
| spl0_114 ),
inference(split_clause,[status(thm)],[f540,f525,f528,f531,f534,f537]) ).
fof(f542,plain,
( spl0_115
<=> product(e_1,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f543,plain,
( product(e_1,e_2,e_1)
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,plain,
( spl0_116
<=> product(e_1,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f546,plain,
( product(e_1,e_2,e_2)
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( spl0_117
<=> product(e_1,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f549,plain,
( product(e_1,e_2,e_3)
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,plain,
( spl0_118
<=> product(e_1,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f552,plain,
( product(e_1,e_2,e_4)
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( spl0_119
<=> product(e_1,e_2,e_5) ),
introduced(split_symbol_definition) ).
fof(f555,plain,
( product(e_1,e_2,e_5)
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,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)],[f111,f64]) ).
fof(f558,plain,
( spl0_115
| spl0_116
| spl0_117
| spl0_118
| spl0_119 ),
inference(split_clause,[status(thm)],[f557,f542,f545,f548,f551,f554]) ).
fof(f559,plain,
( spl0_120
<=> product(e_1,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f562,plain,
( spl0_121
<=> product(e_1,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f563,plain,
( product(e_1,e_1,e_2)
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,plain,
( spl0_122
<=> product(e_1,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f566,plain,
( product(e_1,e_1,e_3)
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,plain,
( spl0_123
<=> product(e_1,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f569,plain,
( product(e_1,e_1,e_4)
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,plain,
( spl0_124
<=> product(e_1,e_1,e_5) ),
introduced(split_symbol_definition) ).
fof(f572,plain,
( product(e_1,e_1,e_5)
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,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)],[f111,f63]) ).
fof(f575,plain,
( spl0_120
| spl0_121
| spl0_122
| spl0_123
| spl0_124 ),
inference(split_clause,[status(thm)],[f574,f559,f562,f565,f568,f571]) ).
fof(f577,plain,
( equalish(e_1,e_2)
| ~ spl0_23
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f204,f173]) ).
fof(f578,plain,
( $false
| ~ spl0_23
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f577,f68]) ).
fof(f579,plain,
( ~ spl0_23
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f578]) ).
fof(f593,plain,
! [X0] :
( ~ product(X0,e_2,e_1)
| equalish(e_5,X0)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f164,f94]) ).
fof(f594,plain,
! [X0] :
( ~ product(e_5,X0,e_1)
| equalish(e_2,X0)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f164,f92]) ).
fof(f596,plain,
! [X0] :
( ~ product(e_2,e_5,X0)
| product(e_1,X0,e_5)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f164,f97]) ).
fof(f601,plain,
( equalish(e_5,e_3)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f159,f102]) ).
fof(f602,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f601,f86]) ).
fof(f603,plain,
~ spl0_14,
inference(contradiction_clause,[status(thm)],[f602]) ).
fof(f604,plain,
! [X0] :
( ~ product(X0,e_3,e_4)
| equalish(e_5,X0)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f156,f94]) ).
fof(f607,plain,
! [X0] :
( ~ product(e_3,e_5,X0)
| product(e_4,X0,e_5)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f156,f97]) ).
fof(f614,plain,
( equalish(e_1,e_3)
| ~ spl0_11
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f150,f217]) ).
fof(f615,plain,
( $false
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f614,f69]) ).
fof(f616,plain,
( ~ spl0_11
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f615]) ).
fof(f618,plain,
( equalish(e_2,e_3)
| ~ spl0_10
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f147,f594]) ).
fof(f619,plain,
( $false
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f618,f73]) ).
fof(f620,plain,
( ~ spl0_10
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f619]) ).
fof(f624,plain,
! [X0] :
( ~ product(e_3,e_5,X0)
| product(e_2,X0,e_5)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f150,f97]) ).
fof(f628,plain,
( equalish(e_5,e_4)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f142,f102]) ).
fof(f629,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f628,f87]) ).
fof(f630,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f629]) ).
fof(f631,plain,
( equalish(e_4,e_5)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f139,f104]) ).
fof(f632,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f631,f83]) ).
fof(f633,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f632]) ).
fof(f641,plain,
( equalish(e_3,e_5)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f153,f104]) ).
fof(f642,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f641,f79]) ).
fof(f643,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f642]) ).
fof(f647,plain,
! [X0] :
( ~ product(e_3,e_5,X0)
| product(e_1,X0,e_5)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f147,f97]) ).
fof(f658,plain,
! [X0] :
( ~ product(X0,e_1,e_5)
| equalish(e_4,X0)
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f317,f94]) ).
fof(f659,plain,
! [X0] :
( ~ product(e_4,X0,e_5)
| equalish(e_1,X0)
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f317,f92]) ).
fof(f664,plain,
( equalish(e_4,e_1)
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f314,f102]) ).
fof(f665,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f80]) ).
fof(f666,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f665]) ).
fof(f668,plain,
! [X0] :
( ~ product(X0,e_1,e_3)
| equalish(e_4,X0)
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f311,f94]) ).
fof(f673,plain,
! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(e_4,X0)
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f308,f94]) ).
fof(f674,plain,
! [X0] :
( ~ product(e_4,X0,e_2)
| equalish(e_1,X0)
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f308,f92]) ).
fof(f677,plain,
( equalish(e_5,e_4)
| ~ spl0_21
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f216,f308]) ).
fof(f678,plain,
( $false
| ~ spl0_21
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f677,f87]) ).
fof(f679,plain,
( ~ spl0_21
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f678]) ).
fof(f680,plain,
( equalish(e_2,e_5)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f167,f104]) ).
fof(f681,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f680,f75]) ).
fof(f682,plain,
~ spl0_16,
inference(contradiction_clause,[status(thm)],[f681]) ).
fof(f696,plain,
( equalish(e_2,e_4)
| ~ spl0_15
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f594,f130]) ).
fof(f697,plain,
( $false
| ~ spl0_15
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f696,f74]) ).
fof(f698,plain,
( ~ spl0_15
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f697]) ).
fof(f701,plain,
( equalish(e_1,e_4)
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f305,f104]) ).
fof(f702,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f701,f70]) ).
fof(f703,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f702]) ).
fof(f705,plain,
! [X0] :
( ~ product(e_4,X0,e_5)
| equalish(e_2,X0)
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f300,f92]) ).
fof(f707,plain,
! [X0] :
( ~ product(e_2,e_4,X0)
| product(e_5,X0,e_4)
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f300,f97]) ).
fof(f713,plain,
( equalish(e_4,e_2)
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f297,f102]) ).
fof(f714,plain,
( $false
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f713,f81]) ).
fof(f715,plain,
~ spl0_43,
inference(contradiction_clause,[status(thm)],[f714]) ).
fof(f721,plain,
! [X0] :
( ~ product(e_4,e_2,X0)
| equalish(e_3,X0)
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f294,f90]) ).
fof(f723,plain,
( equalish(e_2,e_4)
| ~ spl0_41 ),
inference(resolution,[status(thm)],[f291,f104]) ).
fof(f724,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f723,f74]) ).
fof(f725,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f724]) ).
fof(f726,plain,
! [X0] :
( ~ product(X0,e_2,e_1)
| equalish(e_4,X0)
| ~ spl0_40 ),
inference(resolution,[status(thm)],[f288,f94]) ).
fof(f727,plain,
! [X0] :
( ~ product(e_4,X0,e_1)
| equalish(e_2,X0)
| ~ spl0_40 ),
inference(resolution,[status(thm)],[f288,f92]) ).
fof(f733,plain,
! [X0] :
( ~ product(e_3,e_4,X0)
| product(e_5,X0,e_4)
| ~ spl0_39 ),
inference(resolution,[status(thm)],[f283,f97]) ).
fof(f734,plain,
( equalish(e_2,e_3)
| ~ spl0_44
| ~ spl0_39 ),
inference(resolution,[status(thm)],[f705,f283]) ).
fof(f735,plain,
( $false
| ~ spl0_44
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f734,f73]) ).
fof(f736,plain,
( ~ spl0_44
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f735]) ).
fof(f752,plain,
( equalish(e_4,e_3)
| ~ spl0_38 ),
inference(resolution,[status(thm)],[f280,f102]) ).
fof(f753,plain,
( $false
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f752,f82]) ).
fof(f754,plain,
~ spl0_38,
inference(contradiction_clause,[status(thm)],[f753]) ).
fof(f759,plain,
( equalish(e_3,e_4)
| ~ spl0_37 ),
inference(resolution,[status(thm)],[f277,f104]) ).
fof(f760,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f759,f78]) ).
fof(f761,plain,
~ spl0_37,
inference(contradiction_clause,[status(thm)],[f760]) ).
fof(f765,plain,
( equalish(e_1,e_3)
| ~ spl0_36
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f274,f674]) ).
fof(f766,plain,
( $false
| ~ spl0_36
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f765,f69]) ).
fof(f767,plain,
( ~ spl0_36
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f766]) ).
fof(f774,plain,
( equalish(e_2,e_3)
| ~ spl0_35
| ~ spl0_40 ),
inference(resolution,[status(thm)],[f271,f727]) ).
fof(f775,plain,
( $false
| ~ spl0_35
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f774,f73]) ).
fof(f776,plain,
( ~ spl0_35
| ~ spl0_40 ),
inference(contradiction_clause,[status(thm)],[f775]) ).
fof(f780,plain,
( equalish(e_4,e_5)
| ~ spl0_34 ),
inference(resolution,[status(thm)],[f266,f100]) ).
fof(f781,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f780,f83]) ).
fof(f782,plain,
~ spl0_34,
inference(contradiction_clause,[status(thm)],[f781]) ).
fof(f786,plain,
! [X0] :
( ~ product(e_3,e_4,X0)
| product(e_2,X0,e_4)
| ~ spl0_36 ),
inference(resolution,[status(thm)],[f274,f97]) ).
fof(f789,plain,
( equalish(e_4,e_3)
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f260,f100]) ).
fof(f790,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f789,f82]) ).
fof(f791,plain,
~ spl0_32,
inference(contradiction_clause,[status(thm)],[f790]) ).
fof(f801,plain,
( equalish(e_5,e_4)
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f249,f104]) ).
fof(f802,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f801,f87]) ).
fof(f803,plain,
~ spl0_29,
inference(contradiction_clause,[status(thm)],[f802]) ).
fof(f805,plain,
( equalish(e_4,e_5)
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f246,f102]) ).
fof(f806,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f805,f83]) ).
fof(f807,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f806]) ).
fof(f808,plain,
! [X0] :
( ~ product(X0,e_5,e_3)
| equalish(e_4,X0)
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f243,f94]) ).
fof(f824,plain,
( equalish(e_1,e_5)
| ~ spl0_26
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f240,f674]) ).
fof(f825,plain,
( $false
| ~ spl0_26
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f824,f71]) ).
fof(f826,plain,
( ~ spl0_26
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f825]) ).
fof(f831,plain,
! [X0] :
( ~ product(X0,e_5,e_1)
| equalish(e_4,X0)
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f237,f94]) ).
fof(f894,plain,
( equalish(e_1,e_3)
| ~ spl0_70 ),
inference(resolution,[status(thm)],[f390,f104]) ).
fof(f895,plain,
( $false
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f894,f69]) ).
fof(f896,plain,
~ spl0_70,
inference(contradiction_clause,[status(thm)],[f895]) ).
fof(f897,plain,
! [X0] :
( ~ product(X0,e_2,e_5)
| equalish(e_3,X0)
| ~ spl0_69 ),
inference(resolution,[status(thm)],[f385,f94]) ).
fof(f901,plain,
! [X0] :
( ~ product(X0,e_2,e_4)
| equalish(e_3,X0)
| ~ spl0_68 ),
inference(resolution,[status(thm)],[f382,f94]) ).
fof(f905,plain,
( equalish(e_4,e_3)
| ~ spl0_46
| ~ spl0_71 ),
inference(resolution,[status(thm)],[f673,f393]) ).
fof(f906,plain,
( $false
| ~ spl0_46
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f905,f82]) ).
fof(f907,plain,
( ~ spl0_46
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f906]) ).
fof(f917,plain,
( equalish(e_3,e_2)
| ~ spl0_67 ),
inference(resolution,[status(thm)],[f379,f102]) ).
fof(f918,plain,
( $false
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f917,f77]) ).
fof(f919,plain,
~ spl0_67,
inference(contradiction_clause,[status(thm)],[f918]) ).
fof(f923,plain,
( equalish(e_4,e_3)
| ~ spl0_65
| ~ spl0_40 ),
inference(resolution,[status(thm)],[f373,f726]) ).
fof(f924,plain,
( $false
| ~ spl0_65
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f923,f82]) ).
fof(f925,plain,
( ~ spl0_65
| ~ spl0_40 ),
inference(contradiction_clause,[status(thm)],[f924]) ).
fof(f927,plain,
! [X0] :
( ~ product(e_3,X0,e_1)
| equalish(e_2,X0)
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f373,f92]) ).
fof(f932,plain,
( equalish(e_3,e_1)
| ~ spl0_72 ),
inference(resolution,[status(thm)],[f396,f102]) ).
fof(f933,plain,
( $false
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f932,f76]) ).
fof(f934,plain,
~ spl0_72,
inference(contradiction_clause,[status(thm)],[f933]) ).
fof(f937,plain,
( equalish(e_3,e_5)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f368,f100]) ).
fof(f938,plain,
( $false
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f937,f79]) ).
fof(f939,plain,
~ spl0_64,
inference(contradiction_clause,[status(thm)],[f938]) ).
fof(f955,plain,
( equalish(e_3,e_2)
| ~ spl0_61 ),
inference(resolution,[status(thm)],[f359,f100]) ).
fof(f956,plain,
( $false
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f955,f77]) ).
fof(f957,plain,
~ spl0_61,
inference(contradiction_clause,[status(thm)],[f956]) ).
fof(f958,plain,
( equalish(e_2,e_3)
| ~ spl0_66 ),
inference(resolution,[status(thm)],[f376,f104]) ).
fof(f959,plain,
( $false
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f958,f73]) ).
fof(f960,plain,
~ spl0_66,
inference(contradiction_clause,[status(thm)],[f959]) ).
fof(f963,plain,
( equalish(e_3,e_1)
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f356,f100]) ).
fof(f964,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f963,f76]) ).
fof(f965,plain,
~ spl0_60,
inference(contradiction_clause,[status(thm)],[f964]) ).
fof(f969,plain,
! [X0] :
( ~ product(e_4,e_3,X0)
| product(e_5,X0,e_3)
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f351,f97]) ).
fof(f970,plain,
( product(e_5,e_5,e_4)
| ~ spl0_39
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f733,f351]) ).
fof(f973,plain,
( equalish(e_5,e_4)
| ~ spl0_39
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f970,f100]) ).
fof(f974,plain,
( $false
| ~ spl0_39
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f973,f87]) ).
fof(f975,plain,
( ~ spl0_39
| ~ spl0_59 ),
inference(contradiction_clause,[status(thm)],[f974]) ).
fof(f977,plain,
( equalish(e_4,e_3)
| ~ spl0_58 ),
inference(resolution,[status(thm)],[f348,f104]) ).
fof(f978,plain,
( $false
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f977,f82]) ).
fof(f979,plain,
~ spl0_58,
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f984,plain,
! [X0] :
( ~ product(X0,e_4,e_2)
| equalish(e_3,X0)
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f342,f94]) ).
fof(f985,plain,
! [X0] :
( ~ product(e_3,X0,e_2)
| equalish(e_4,X0)
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f342,f92]) ).
fof(f988,plain,
( equalish(e_2,e_4)
| ~ spl0_55
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f339,f927]) ).
fof(f989,plain,
( $false
| ~ spl0_55
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f988,f74]) ).
fof(f990,plain,
( ~ spl0_55
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f989]) ).
fof(f991,plain,
( product(e_2,e_2,e_4)
| ~ spl0_36
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f786,f342]) ).
fof(f994,plain,
( equalish(e_2,e_4)
| ~ spl0_36
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f991,f100]) ).
fof(f995,plain,
( $false
| ~ spl0_36
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f994,f74]) ).
fof(f996,plain,
( ~ spl0_36
| ~ spl0_56 ),
inference(contradiction_clause,[status(thm)],[f995]) ).
fof(f1002,plain,
( equalish(e_5,e_3)
| ~ spl0_54 ),
inference(resolution,[status(thm)],[f334,f104]) ).
fof(f1003,plain,
( $false
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f1002,f86]) ).
fof(f1004,plain,
~ spl0_54,
inference(contradiction_clause,[status(thm)],[f1003]) ).
fof(f1009,plain,
( equalish(e_3,e_5)
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f328,f102]) ).
fof(f1010,plain,
( $false
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f1009,f79]) ).
fof(f1011,plain,
~ spl0_52,
inference(contradiction_clause,[status(thm)],[f1010]) ).
fof(f1013,plain,
( equalish(e_4,e_5)
| ~ spl0_51
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f325,f985]) ).
fof(f1014,plain,
( $false
| ~ spl0_51
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f1013,f83]) ).
fof(f1015,plain,
( ~ spl0_51
| ~ spl0_56 ),
inference(contradiction_clause,[status(thm)],[f1014]) ).
fof(f1017,plain,
( equalish(e_3,e_4)
| ~ spl0_57 ),
inference(resolution,[status(thm)],[f345,f102]) ).
fof(f1018,plain,
( $false
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f1017,f78]) ).
fof(f1019,plain,
~ spl0_57,
inference(contradiction_clause,[status(thm)],[f1018]) ).
fof(f1020,plain,
( product(e_1,e_1,e_5)
| ~ spl0_50
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f322,f647]) ).
fof(f1025,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ greater(e_5,X0)
| ~ spl0_99 ),
inference(resolution,[status(thm)],[f487,f62]) ).
fof(f1030,plain,
! [X0] :
( ~ next(e_2,X0)
| ~ greater(e_4,X0)
| ~ spl0_98 ),
inference(resolution,[status(thm)],[f484,f62]) ).
fof(f1038,plain,
( equalish(e_1,e_5)
| ~ spl0_50
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f1020,f100]) ).
fof(f1039,plain,
( $false
| ~ spl0_50
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f1038,f71]) ).
fof(f1040,plain,
( ~ spl0_50
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1039]) ).
fof(f1041,plain,
( equalish(e_4,e_3)
| ~ spl0_25
| ~ spl0_50 ),
inference(resolution,[status(thm)],[f831,f322]) ).
fof(f1042,plain,
( $false
| ~ spl0_25
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f1041,f82]) ).
fof(f1043,plain,
( ~ spl0_25
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f1042]) ).
fof(f1059,plain,
! [X0] :
( ~ product(X0,e_1,e_3)
| equalish(e_2,X0)
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f481,f94]) ).
fof(f1062,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| product(e_3,X0,e_2)
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f481,f97]) ).
fof(f1067,plain,
( equalish(e_1,e_2)
| ~ spl0_95 ),
inference(resolution,[status(thm)],[f475,f104]) ).
fof(f1068,plain,
( $false
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f1067,f68]) ).
fof(f1069,plain,
~ spl0_95,
inference(contradiction_clause,[status(thm)],[f1068]) ).
fof(f1070,plain,
( equalish(e_4,e_2)
| ~ spl0_47
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f668,f481]) ).
fof(f1071,plain,
( $false
| ~ spl0_47
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f1070,f81]) ).
fof(f1072,plain,
( ~ spl0_47
| ~ spl0_97 ),
inference(contradiction_clause,[status(thm)],[f1071]) ).
fof(f1073,plain,
( equalish(e_5,e_4)
| ~ spl0_42
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f294,f232]) ).
fof(f1074,plain,
( $false
| ~ spl0_42
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f1073,f87]) ).
fof(f1075,plain,
( ~ spl0_42
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f1074]) ).
fof(f1081,plain,
( equalish(e_2,e_5)
| ~ spl0_94 ),
inference(resolution,[status(thm)],[f470,f100]) ).
fof(f1082,plain,
( $false
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f1081,f75]) ).
fof(f1083,plain,
~ spl0_94,
inference(contradiction_clause,[status(thm)],[f1082]) ).
fof(f1087,plain,
( product(e_2,e_1,e_5)
| ~ spl0_11
| ~ spl0_50 ),
inference(resolution,[status(thm)],[f624,f322]) ).
fof(f1088,plain,
( spl0_99
| ~ spl0_11
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f1087,f486,f149,f321]) ).
fof(f1089,plain,
! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(e_4,X0)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f271,f94]) ).
fof(f1092,plain,
! [X0] :
( ~ product(e_3,e_4,X0)
| product(e_1,X0,e_4)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f271,f97]) ).
fof(f1096,plain,
( equalish(e_2,e_3)
| ~ spl0_92 ),
inference(resolution,[status(thm)],[f464,f100]) ).
fof(f1097,plain,
( $false
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f1096,f73]) ).
fof(f1098,plain,
~ spl0_92,
inference(contradiction_clause,[status(thm)],[f1097]) ).
fof(f1099,plain,
( equalish(e_5,e_2)
| ~ spl0_90
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f458,f593]) ).
fof(f1100,plain,
( $false
| ~ spl0_90
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1099,f85]) ).
fof(f1101,plain,
( ~ spl0_90
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1100]) ).
fof(f1112,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| product(e_4,X0,e_2)
| ~ spl0_88 ),
inference(resolution,[status(thm)],[f450,f97]) ).
fof(f1113,plain,
( equalish(e_3,e_2)
| ~ spl0_87 ),
inference(resolution,[status(thm)],[f447,f104]) ).
fof(f1114,plain,
( $false
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f1113,f77]) ).
fof(f1115,plain,
~ spl0_87,
inference(contradiction_clause,[status(thm)],[f1114]) ).
fof(f1121,plain,
( equalish(e_4,e_2)
| ~ spl0_85
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f441,f1089]) ).
fof(f1122,plain,
( $false
| ~ spl0_85
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1121,f81]) ).
fof(f1123,plain,
( ~ spl0_85
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f1122]) ).
fof(f1124,plain,
( product(e_5,e_5,e_4)
| ~ spl0_84
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f436,f707]) ).
fof(f1134,plain,
! [X0] :
( ~ product(X0,e_3,e_5)
| equalish(e_2,X0)
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f453,f94]) ).
fof(f1140,plain,
( equalish(e_2,e_1)
| ~ spl0_96 ),
inference(resolution,[status(thm)],[f478,f102]) ).
fof(f1141,plain,
( $false
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f1140,f72]) ).
fof(f1142,plain,
~ spl0_96,
inference(contradiction_clause,[status(thm)],[f1141]) ).
fof(f1144,plain,
( equalish(e_2,e_3)
| ~ spl0_86 ),
inference(resolution,[status(thm)],[f444,f102]) ).
fof(f1145,plain,
( $false
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f1144,f73]) ).
fof(f1146,plain,
~ spl0_86,
inference(contradiction_clause,[status(thm)],[f1145]) ).
fof(f1150,plain,
! [X0] :
( ~ product(e_4,e_2,X0)
| product(e_3,X0,e_2)
| ~ spl0_82 ),
inference(resolution,[status(thm)],[f430,f97]) ).
fof(f1152,plain,
( equalish(e_2,e_4)
| ~ spl0_81 ),
inference(resolution,[status(thm)],[f427,f102]) ).
fof(f1153,plain,
( $false
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[status(thm)],[f1152,f74]) ).
fof(f1154,plain,
~ spl0_81,
inference(contradiction_clause,[status(thm)],[f1153]) ).
fof(f1156,plain,
! [X0] :
( ~ product(e_2,X0,e_1)
| equalish(e_4,X0)
| ~ spl0_80 ),
inference(resolution,[status(thm)],[f424,f92]) ).
fof(f1158,plain,
! [X0] :
( ~ product(e_4,e_2,X0)
| product(e_1,X0,e_2)
| ~ spl0_80 ),
inference(resolution,[status(thm)],[f424,f97]) ).
fof(f1184,plain,
( product(e_3,e_4,e_5)
| ~ spl0_78
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f416,f235]) ).
fof(f1184_001,plain,
( product(e_3,e_4,e_5)
| ~ spl0_78
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f416,f235]) ).
fof(f1188,plain,
! [X0] :
( ~ product(e_5,e_2,X0)
| product(e_4,X0,e_2)
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f416,f97]) ).
fof(f1189,plain,
( product(e_3,e_3,e_5)
| ~ spl0_77
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f413,f235]) ).
fof(f1190,plain,
( spl0_64
| ~ spl0_77
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1189,f367,f412,f169]) ).
fof(f1194,plain,
( product(e_1,e_5,e_4)
| ~ spl0_78
| ~ spl0_17
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1184,f1092]) ).
fof(f1199,plain,
( product(e_4,e_4,e_5)
| ~ spl0_78
| ~ spl0_17
| ~ spl0_35
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f1194,f206]) ).
fof(f1200,plain,
( spl0_34
| ~ spl0_78
| ~ spl0_17
| ~ spl0_35
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1199,f265,f415,f169,f270,f189]) ).
fof(f1216,plain,
( product(e_3,e_1,e_5)
| ~ spl0_75
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f407,f235]) ).
fof(f1217,plain,
( spl0_74
| ~ spl0_75
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1216,f401,f406,f169]) ).
fof(f1218,plain,
( equalish(e_4,e_5)
| ~ spl0_75
| ~ spl0_80 ),
inference(resolution,[status(thm)],[f407,f1156]) ).
fof(f1219,plain,
( $false
| ~ spl0_75
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[status(thm)],[f1218,f83]) ).
fof(f1220,plain,
( ~ spl0_75
| ~ spl0_80 ),
inference(contradiction_clause,[status(thm)],[f1219]) ).
fof(f1224,plain,
! [X0] :
( ~ product(e_5,e_2,X0)
| product(e_3,X0,e_2)
| ~ spl0_77 ),
inference(resolution,[status(thm)],[f413,f97]) ).
fof(f1231,plain,
( equalish(e_1,e_5)
| ~ spl0_124 ),
inference(resolution,[status(thm)],[f572,f100]) ).
fof(f1232,plain,
( $false
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f1231,f71]) ).
fof(f1233,plain,
~ spl0_124,
inference(contradiction_clause,[status(thm)],[f1232]) ).
fof(f1234,plain,
( equalish(e_5,e_1)
| ~ spl0_123
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f569,f203]) ).
fof(f1235,plain,
( $false
| ~ spl0_123
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f1234,f84]) ).
fof(f1236,plain,
( ~ spl0_123
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f1235]) ).
fof(f1237,plain,
( equalish(e_2,e_1)
| ~ spl0_122
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f566,f1059]) ).
fof(f1238,plain,
( $false
| ~ spl0_122
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f1237,f72]) ).
fof(f1239,plain,
( ~ spl0_122
| ~ spl0_97 ),
inference(contradiction_clause,[status(thm)],[f1238]) ).
fof(f1240,plain,
( equalish(e_4,e_1)
| ~ spl0_121
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f563,f673]) ).
fof(f1241,plain,
( $false
| ~ spl0_121
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f1240,f80]) ).
fof(f1242,plain,
( ~ spl0_121
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f1241]) ).
fof(f1243,plain,
( product(e_3,e_5,e_2)
| ~ spl0_119
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f555,f1062]) ).
fof(f1247,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| product(e_5,X0,e_1)
| ~ spl0_119 ),
inference(resolution,[status(thm)],[f555,f97]) ).
fof(f1255,plain,
( product(e_3,e_4,e_2)
| ~ spl0_118
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f552,f1062]) ).
fof(f1256,plain,
( spl0_56
| ~ spl0_118
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f1255,f341,f551,f480]) ).
fof(f1257,plain,
! [X0] :
( ~ product(X0,e_2,e_4)
| equalish(e_1,X0)
| ~ spl0_118 ),
inference(resolution,[status(thm)],[f552,f94]) ).
fof(f1258,plain,
! [X0] :
( ~ product(e_1,X0,e_4)
| equalish(e_2,X0)
| ~ spl0_118 ),
inference(resolution,[status(thm)],[f552,f92]) ).
fof(f1261,plain,
( product(e_3,e_3,e_2)
| ~ spl0_117
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f549,f1062]) ).
fof(f1262,plain,
( spl0_61
| ~ spl0_117
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f1261,f358,f548,f480]) ).
fof(f1268,plain,
( equalish(e_2,e_1)
| ~ spl0_116 ),
inference(resolution,[status(thm)],[f546,f104]) ).
fof(f1269,plain,
( $false
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[status(thm)],[f1268,f72]) ).
fof(f1270,plain,
~ spl0_116,
inference(contradiction_clause,[status(thm)],[f1269]) ).
fof(f1277,plain,
( equalish(e_2,e_5)
| ~ spl0_76 ),
inference(resolution,[status(thm)],[f410,f102]) ).
fof(f1278,plain,
( $false
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[status(thm)],[f1277,f75]) ).
fof(f1279,plain,
~ spl0_76,
inference(contradiction_clause,[status(thm)],[f1278]) ).
fof(f1283,plain,
! [X0] :
( ~ product(e_5,e_2,X0)
| product(e_1,X0,e_2)
| ~ spl0_75 ),
inference(resolution,[status(thm)],[f407,f97]) ).
fof(f1305,plain,
( equalish(e_5,e_2)
| ~ spl0_79 ),
inference(resolution,[status(thm)],[f419,f104]) ).
fof(f1306,plain,
( $false
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f1305,f85]) ).
fof(f1307,plain,
~ spl0_79,
inference(contradiction_clause,[status(thm)],[f1306]) ).
fof(f1312,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| product(e_5,X0,e_1)
| ~ spl0_114 ),
inference(resolution,[status(thm)],[f538,f97]) ).
fof(f1315,plain,
( equalish(e_5,e_1)
| ~ spl0_113
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f535,f604]) ).
fof(f1316,plain,
( $false
| ~ spl0_113
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f1315,f84]) ).
fof(f1317,plain,
( ~ spl0_113
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f1316]) ).
fof(f1320,plain,
( equalish(e_3,e_1)
| ~ spl0_112 ),
inference(resolution,[status(thm)],[f532,f104]) ).
fof(f1321,plain,
( $false
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[status(thm)],[f1320,f76]) ).
fof(f1322,plain,
~ spl0_112,
inference(contradiction_clause,[status(thm)],[f1321]) ).
fof(f1344,plain,
! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(e_3,X0)
| ~ spl0_111 ),
inference(resolution,[status(thm)],[f529,f92]) ).
fof(f1346,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| product(e_2,X0,e_1)
| ~ spl0_111 ),
inference(resolution,[status(thm)],[f529,f97]) ).
fof(f1350,plain,
( ~ next(e_2,e_3)
| ~ spl0_99 ),
inference(resolution,[status(thm)],[f1025,f59]) ).
fof(f1351,plain,
( $false
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f1350,f48]) ).
fof(f1352,plain,
~ spl0_99,
inference(contradiction_clause,[status(thm)],[f1351]) ).
fof(f1362,plain,
! [X0] :
( ~ product(e_4,e_1,X0)
| product(e_5,X0,e_1)
| ~ spl0_109 ),
inference(resolution,[status(thm)],[f521,f97]) ).
fof(f1377,plain,
! [X0] :
( ~ product(e_4,e_1,X0)
| product(e_3,X0,e_1)
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f515,f97]) ).
fof(f1399,plain,
( equalish(e_3,e_4)
| ~ spl0_63 ),
inference(resolution,[status(thm)],[f365,f100]) ).
fof(f1400,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f1399,f78]) ).
fof(f1401,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f1400]) ).
fof(f1403,plain,
( equalish(e_1,e_4)
| ~ spl0_105 ),
inference(resolution,[status(thm)],[f509,f102]) ).
fof(f1404,plain,
( $false
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f1403,f70]) ).
fof(f1405,plain,
~ spl0_105,
inference(contradiction_clause,[status(thm)],[f1404]) ).
fof(f1407,plain,
( ~ next(e_2,e_3)
| ~ spl0_98 ),
inference(resolution,[status(thm)],[f1030,f58]) ).
fof(f1408,plain,
( $false
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[status(thm)],[f1407,f48]) ).
fof(f1409,plain,
~ spl0_98,
inference(contradiction_clause,[status(thm)],[f1408]) ).
fof(f1411,plain,
( equalish(e_1,e_3)
| ~ spl0_110 ),
inference(resolution,[status(thm)],[f526,f102]) ).
fof(f1412,plain,
( $false
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f1411,f69]) ).
fof(f1413,plain,
~ spl0_110,
inference(contradiction_clause,[status(thm)],[f1412]) ).
fof(f1415,plain,
( equalish(e_4,e_2)
| ~ spl0_83 ),
inference(resolution,[status(thm)],[f433,f104]) ).
fof(f1416,plain,
( $false
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f1415,f81]) ).
fof(f1417,plain,
~ spl0_83,
inference(contradiction_clause,[status(thm)],[f1416]) ).
fof(f1420,plain,
( equalish(e_5,e_1)
| ~ spl0_104 ),
inference(resolution,[status(thm)],[f504,f104]) ).
fof(f1421,plain,
( $false
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f1420,f84]) ).
fof(f1422,plain,
~ spl0_104,
inference(contradiction_clause,[status(thm)],[f1421]) ).
fof(f1423,plain,
( equalish(e_2,e_5)
| ~ spl0_103
| ~ spl0_118 ),
inference(resolution,[status(thm)],[f501,f1258]) ).
fof(f1424,plain,
( $false
| ~ spl0_103
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[status(thm)],[f1423,f75]) ).
fof(f1425,plain,
( ~ spl0_103
| ~ spl0_118 ),
inference(contradiction_clause,[status(thm)],[f1424]) ).
fof(f1426,plain,
! [X0] :
( ~ product(X0,e_5,e_3)
| equalish(e_1,X0)
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f498,f94]) ).
fof(f1429,plain,
! [X0] :
( ~ product(e_5,e_1,X0)
| product(e_3,X0,e_1)
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f498,f97]) ).
fof(f1430,plain,
( product(e_4,e_3,e_5)
| ~ spl0_23
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f206,f498]) ).
fof(f1430_002,plain,
( product(e_4,e_3,e_5)
| ~ spl0_23
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f206,f498]) ).
fof(f1442,plain,
( equalish(e_2,e_4)
| ~ spl0_23
| ~ spl0_102
| ~ spl0_89 ),
inference(resolution,[status(thm)],[f1430,f1134]) ).
fof(f1443,plain,
( $false
| ~ spl0_23
| ~ spl0_102
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f1442,f74]) ).
fof(f1444,plain,
( ~ spl0_23
| ~ spl0_102
| ~ spl0_89 ),
inference(contradiction_clause,[status(thm)],[f1443]) ).
fof(f1451,plain,
( product(e_4,e_2,e_5)
| ~ spl0_101
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f495,f206]) ).
fof(f1455,plain,
! [X0] :
( ~ product(e_5,e_1,X0)
| product(e_2,X0,e_1)
| ~ spl0_101 ),
inference(resolution,[status(thm)],[f495,f97]) ).
fof(f1460,plain,
( product(e_4,e_1,e_2)
| ~ spl0_15
| ~ spl0_78 ),
inference(resolution,[status(thm)],[f164,f1188]) ).
fof(f1498,plain,
( product(e_3,e_2,e_1)
| ~ spl0_15
| ~ spl0_78
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f1460,f1377]) ).
fof(f1502,plain,
( equalish(e_3,e_5)
| ~ spl0_101
| ~ spl0_23
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f1451,f721]) ).
fof(f1503,plain,
( $false
| ~ spl0_101
| ~ spl0_23
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f1502,f79]) ).
fof(f1504,plain,
( ~ spl0_101
| ~ spl0_23
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f1503]) ).
fof(f1511,plain,
( product(e_1,e_5,e_2)
| ~ spl0_101
| ~ spl0_23
| ~ spl0_80 ),
inference(resolution,[status(thm)],[f1451,f1158]) ).
fof(f1514,plain,
( product(e_4,e_1,e_5)
| ~ spl0_50
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f322,f607]) ).
fof(f1529,plain,
( product(e_2,e_4,e_1)
| ~ spl0_73
| ~ spl0_111 ),
inference(resolution,[status(thm)],[f399,f1346]) ).
fof(f1539,plain,
( equalish(e_3,e_5)
| ~ spl0_101
| ~ spl0_23
| ~ spl0_80
| ~ spl0_111 ),
inference(resolution,[status(thm)],[f1511,f1344]) ).
fof(f1540,plain,
( $false
| ~ spl0_101
| ~ spl0_23
| ~ spl0_80
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[status(thm)],[f1539,f79]) ).
fof(f1541,plain,
( ~ spl0_101
| ~ spl0_23
| ~ spl0_80
| ~ spl0_111 ),
inference(contradiction_clause,[status(thm)],[f1540]) ).
fof(f1546,plain,
( product(e_5,e_4,e_1)
| ~ spl0_114
| ~ spl0_73 ),
inference(resolution,[status(thm)],[f1312,f399]) ).
fof(f1547,plain,
( spl0_5
| ~ spl0_114
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f1546,f129,f537,f398]) ).
fof(f1558,plain,
( product(e_3,e_5,e_2)
| ~ spl0_82
| ~ spl0_101
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f1150,f1451]) ).
fof(f1559,plain,
( spl0_51
| ~ spl0_82
| ~ spl0_101
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f1558,f324,f429,f494,f189]) ).
fof(f1560,plain,
( equalish(e_3,e_1)
| ~ spl0_106
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f512,f984]) ).
fof(f1561,plain,
( $false
| ~ spl0_106
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f1560,f76]) ).
fof(f1562,plain,
( ~ spl0_106
| ~ spl0_56 ),
inference(contradiction_clause,[status(thm)],[f1561]) ).
fof(f1576,plain,
( equalish(e_5,e_3)
| ~ spl0_78
| ~ spl0_107
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f1498,f593]) ).
fof(f1577,plain,
( $false
| ~ spl0_78
| ~ spl0_107
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1576,f86]) ).
fof(f1578,plain,
( ~ spl0_78
| ~ spl0_107
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1577]) ).
fof(f1579,plain,
! [X0] :
( ~ product(X0,e_5,e_4)
| equalish(e_3,X0)
| ~ spl0_53 ),
inference(resolution,[status(thm)],[f331,f94]) ).
fof(f1596,plain,
( product(e_5,e_2,e_4)
| ~ spl0_39
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f733,f342]) ).
fof(f1599,plain,
( equalish(e_1,e_5)
| ~ spl0_39
| ~ spl0_56
| ~ spl0_118 ),
inference(resolution,[status(thm)],[f1596,f1257]) ).
fof(f1600,plain,
( $false
| ~ spl0_39
| ~ spl0_56
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[status(thm)],[f1599,f71]) ).
fof(f1601,plain,
( ~ spl0_39
| ~ spl0_56
| ~ spl0_118 ),
inference(contradiction_clause,[status(thm)],[f1600]) ).
fof(f1611,plain,
( equalish(e_1,e_5)
| ~ spl0_100 ),
inference(resolution,[status(thm)],[f492,f102]) ).
fof(f1612,plain,
( $false
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f1611,f71]) ).
fof(f1613,plain,
~ spl0_100,
inference(contradiction_clause,[status(thm)],[f1612]) ).
fof(f1640,plain,
( product(e_5,e_2,e_1)
| ~ spl0_109
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f1362,f308]) ).
fof(f1661,plain,
( product(e_1,e_1,e_2)
| ~ spl0_75
| ~ spl0_109
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f1283,f1640]) ).
fof(f1662,plain,
( spl0_121
| ~ spl0_75
| ~ spl0_109
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1661,f562,f406,f520,f307]) ).
fof(f1663,plain,
( product(e_3,e_2,e_1)
| ~ spl0_107
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f1377,f308]) ).
fof(f1664,plain,
( spl0_65
| ~ spl0_107
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1663,f372,f514,f307]) ).
fof(f1665,plain,
( spl0_39
| ~ spl0_23
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f1430,f282,f189,f497]) ).
fof(f1685,plain,
( product(e_2,e_4,e_5)
| ~ spl0_53
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f331,f624]) ).
fof(f1694,plain,
( product(e_3,e_1,e_2)
| ~ spl0_15
| ~ spl0_77 ),
inference(resolution,[status(thm)],[f164,f1224]) ).
fof(f1695,plain,
( spl0_71
| ~ spl0_15
| ~ spl0_77 ),
inference(split_clause,[status(thm)],[f1694,f392,f163,f412]) ).
fof(f1702,plain,
( equalish(e_4,e_2)
| ~ spl0_75
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f407,f831]) ).
fof(f1703,plain,
( $false
| ~ spl0_75
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f1702,f81]) ).
fof(f1704,plain,
( ~ spl0_75
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f1703]) ).
fof(f1705,plain,
( spl0_80
| ~ spl0_73
| ~ spl0_111 ),
inference(split_clause,[status(thm)],[f1529,f423,f398,f528]) ).
fof(f1709,plain,
( equalish(e_3,e_5)
| ~ spl0_84
| ~ spl0_44
| ~ spl0_53 ),
inference(resolution,[status(thm)],[f1124,f1579]) ).
fof(f1710,plain,
( $false
| ~ spl0_84
| ~ spl0_44
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f1709,f79]) ).
fof(f1711,plain,
( ~ spl0_84
| ~ spl0_44
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f1710]) ).
fof(f1715,plain,
! [X0] :
( ~ product(e_4,e_1,X0)
| product(e_2,X0,e_1)
| ~ spl0_106 ),
inference(resolution,[status(thm)],[f512,f97]) ).
fof(f1716,plain,
( spl0_59
| ~ spl0_78
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f1184,f350,f415,f169]) ).
fof(f1720,plain,
! [X0] :
( ~ product(X0,e_5,e_2)
| equalish(e_3,X0)
| ~ spl0_119
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f1243,f94]) ).
fof(f1721,plain,
( equalish(e_4,e_1)
| ~ spl0_108 ),
inference(resolution,[status(thm)],[f518,f104]) ).
fof(f1722,plain,
( $false
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f1721,f80]) ).
fof(f1723,plain,
~ spl0_108,
inference(contradiction_clause,[status(thm)],[f1722]) ).
fof(f1724,plain,
( product(e_5,e_3,e_1)
| ~ spl0_119
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f1247,f481]) ).
fof(f1725,plain,
( product(e_2,e_2,e_1)
| ~ spl0_106
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f1715,f308]) ).
fof(f1726,plain,
( product(e_1,e_2,e_5)
| ~ spl0_119
| ~ spl0_97
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f1243,f647]) ).
fof(f1736,plain,
( equalish(e_2,e_1)
| ~ spl0_106
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f1725,f100]) ).
fof(f1737,plain,
( $false
| ~ spl0_106
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f1736,f72]) ).
fof(f1738,plain,
( ~ spl0_106
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f1737]) ).
fof(f1747,plain,
( $false
| ~ spl0_119
| ~ spl0_97
| spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f326,f1243]) ).
fof(f1748,plain,
( ~ spl0_119
| ~ spl0_97
| spl0_51 ),
inference(contradiction_clause,[status(thm)],[f1747]) ).
fof(f1762,plain,
( $false
| ~ spl0_119
| ~ spl0_97
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f148,f1724]) ).
fof(f1763,plain,
( ~ spl0_119
| ~ spl0_97
| spl0_10 ),
inference(contradiction_clause,[status(thm)],[f1762]) ).
fof(f1765,plain,
( spl0_84
| ~ spl0_53
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f1685,f435,f330,f149]) ).
fof(f1785,plain,
( product(e_5,e_5,e_1)
| ~ spl0_74
| ~ spl0_114 ),
inference(resolution,[status(thm)],[f402,f1312]) ).
fof(f1822,plain,
( equalish(e_5,e_1)
| ~ spl0_74
| ~ spl0_114 ),
inference(resolution,[status(thm)],[f1785,f100]) ).
fof(f1823,plain,
( $false
| ~ spl0_74
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[status(thm)],[f1822,f84]) ).
fof(f1824,plain,
( ~ spl0_74
| ~ spl0_114 ),
inference(contradiction_clause,[status(thm)],[f1823]) ).
fof(f1829,plain,
( product(e_2,e_5,e_1)
| ~ spl0_111
| ~ spl0_74 ),
inference(resolution,[status(thm)],[f1346,f402]) ).
fof(f1830,plain,
( spl0_75
| ~ spl0_111
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f1829,f406,f528,f401]) ).
fof(f1870,plain,
( equalish(e_2,e_5)
| ~ spl0_22
| ~ spl0_97 ),
inference(resolution,[status(thm)],[f187,f1059]) ).
fof(f1871,plain,
( $false
| ~ spl0_22
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f1870,f75]) ).
fof(f1872,plain,
( ~ spl0_22
| ~ spl0_97 ),
inference(contradiction_clause,[status(thm)],[f1871]) ).
fof(f1887,plain,
( product(e_3,e_5,e_1)
| ~ spl0_50
| ~ spl0_13
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f1514,f1377]) ).
fof(f1920,plain,
( equalish(e_2,e_5)
| ~ spl0_65
| ~ spl0_50
| ~ spl0_13
| ~ spl0_107 ),
inference(resolution,[status(thm)],[f927,f1887]) ).
fof(f1921,plain,
( $false
| ~ spl0_65
| ~ spl0_50
| ~ spl0_13
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[status(thm)],[f1920,f75]) ).
fof(f1922,plain,
( ~ spl0_65
| ~ spl0_50
| ~ spl0_13
| ~ spl0_107 ),
inference(contradiction_clause,[status(thm)],[f1921]) ).
fof(f1932,plain,
( product(e_1,e_1,e_5)
| ~ spl0_75
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f407,f596]) ).
fof(f1933,plain,
( spl0_124
| ~ spl0_75
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f1932,f571,f406,f163]) ).
fof(f1959,plain,
( product(e_3,e_2,e_1)
| ~ spl0_102
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f1429,f184]) ).
fof(f1960,plain,
( product(e_5,e_1,e_3)
| ~ spl0_59
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f969,f271]) ).
fof(f1961,plain,
( spl0_22
| ~ spl0_59
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f1960,f186,f350,f270]) ).
fof(f1962,plain,
( product(e_4,e_1,e_2)
| ~ spl0_88
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f1112,f373]) ).
fof(f1963,plain,
( spl0_46
| ~ spl0_88
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f1962,f307,f449,f372]) ).
fof(f1977,plain,
( equalish(e_1,e_2)
| ~ spl0_115 ),
inference(resolution,[status(thm)],[f543,f102]) ).
fof(f1978,plain,
( $false
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f1977,f68]) ).
fof(f1979,plain,
~ spl0_115,
inference(contradiction_clause,[status(thm)],[f1978]) ).
fof(f2007,plain,
( product(e_2,e_5,e_1)
| ~ spl0_49
| ~ spl0_106 ),
inference(resolution,[status(thm)],[f317,f1715]) ).
fof(f2018,plain,
( equalish(e_5,e_4)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f122,f100]) ).
fof(f2019,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f2018,f87]) ).
fof(f2020,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f2019]) ).
fof(f2021,plain,
( equalish(e_1,e_5)
| ~ spl0_2
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f119,f1426]) ).
fof(f2022,plain,
( $false
| ~ spl0_2
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f2021,f71]) ).
fof(f2023,plain,
( ~ spl0_2
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f2022]) ).
fof(f2024,plain,
( product(e_2,e_2,e_1)
| ~ spl0_101
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f1455,f184]) ).
fof(f2031,plain,
( equalish(e_2,e_1)
| ~ spl0_101
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f2024,f100]) ).
fof(f2032,plain,
( $false
| ~ spl0_101
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f2031,f72]) ).
fof(f2033,plain,
( ~ spl0_101
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f2032]) ).
fof(f2035,plain,
( $false
| ~ spl0_49
| ~ spl0_106
| spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f408,f2007]) ).
fof(f2036,plain,
( ~ spl0_49
| ~ spl0_106
| spl0_75 ),
inference(contradiction_clause,[status(thm)],[f2035]) ).
fof(f2037,plain,
( spl0_65
| ~ spl0_102
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f1959,f372,f497,f183]) ).
fof(f2048,plain,
( product(e_5,e_5,e_1)
| ~ spl0_109
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f1362,f317]) ).
fof(f2070,plain,
( equalish(e_5,e_1)
| ~ spl0_109
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f2048,f100]) ).
fof(f2071,plain,
( $false
| ~ spl0_109
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f2070,f84]) ).
fof(f2072,plain,
( ~ spl0_109
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f2071]) ).
fof(f2073,plain,
( product(e_3,e_5,e_1)
| ~ spl0_107
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f1377,f317]) ).
fof(f2074,plain,
( spl0_50
| ~ spl0_107
| ~ spl0_49 ),
inference(split_clause,[status(thm)],[f2073,f321,f514,f316]) ).
fof(f2089,plain,
( equalish(e_4,e_3)
| ~ spl0_74
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f402,f658]) ).
fof(f2090,plain,
( $false
| ~ spl0_74
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f2089,f82]) ).
fof(f2091,plain,
( ~ spl0_74
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f2090]) ).
fof(f2132,plain,
( equalish(e_3,e_4)
| ~ spl0_119
| ~ spl0_97
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f1720,f240]) ).
fof(f2133,plain,
( $false
| ~ spl0_119
| ~ spl0_97
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f2132,f78]) ).
fof(f2134,plain,
( ~ spl0_119
| ~ spl0_97
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f2133]) ).
fof(f2167,plain,
( equalish(e_4,e_1)
| ~ spl0_27
| ~ spl0_102 ),
inference(resolution,[status(thm)],[f808,f498]) ).
fof(f2168,plain,
( $false
| ~ spl0_27
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f2167,f80]) ).
fof(f2169,plain,
( ~ spl0_27
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f2168]) ).
fof(f2173,plain,
! [X0] :
( ~ product(e_5,e_1,X0)
| product(e_4,X0,e_1)
| ~ spl0_103 ),
inference(resolution,[status(thm)],[f501,f97]) ).
fof(f2174,plain,
( product(e_4,e_2,e_1)
| ~ spl0_103
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f2173,f184]) ).
fof(f2175,plain,
( spl0_40
| ~ spl0_103
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f2174,f287,f500,f183]) ).
fof(f2176,plain,
( equalish(e_3,e_5)
| ~ spl0_68
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f901,f173]) ).
fof(f2177,plain,
( $false
| ~ spl0_68
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f2176,f79]) ).
fof(f2178,plain,
( ~ spl0_68
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f2177]) ).
fof(f2179,plain,
( equalish(e_3,e_1)
| ~ spl0_69
| ~ spl0_119
| ~ spl0_97
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f897,f1726]) ).
fof(f2180,plain,
( $false
| ~ spl0_69
| ~ spl0_119
| ~ spl0_97
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f2179,f76]) ).
fof(f2181,plain,
( ~ spl0_69
| ~ spl0_119
| ~ spl0_97
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f2180]) ).
fof(f2232,plain,
( equalish(e_1,e_2)
| ~ spl0_101
| ~ spl0_23
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f1451,f659]) ).
fof(f2233,plain,
( $false
| ~ spl0_101
| ~ spl0_23
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f2232,f68]) ).
fof(f2234,plain,
( ~ spl0_101
| ~ spl0_23
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f2233]) ).
fof(f2235,plain,
$false,
inference(sat_refutation,[status(thm)],[f162,f179,f196,f201,f223,f227,f252,f286,f303,f320,f337,f354,f371,f388,f405,f422,f439,f490,f507,f524,f541,f558,f575,f579,f603,f616,f620,f630,f633,f643,f666,f679,f682,f698,f703,f715,f725,f736,f754,f761,f767,f776,f782,f791,f803,f807,f826,f896,f907,f919,f925,f934,f939,f957,f960,f965,f975,f979,f990,f996,f1004,f1011,f1015,f1019,f1040,f1043,f1069,f1072,f1075,f1083,f1088,f1098,f1101,f1115,f1123,f1142,f1146,f1154,f1190,f1200,f1217,f1220,f1233,f1236,f1239,f1242,f1256,f1262,f1270,f1279,f1307,f1317,f1322,f1352,f1401,f1405,f1409,f1413,f1417,f1422,f1425,f1444,f1504,f1541,f1547,f1559,f1562,f1578,f1601,f1613,f1662,f1664,f1665,f1695,f1704,f1705,f1711,f1716,f1723,f1738,f1748,f1763,f1765,f1824,f1830,f1872,f1922,f1933,f1961,f1963,f1979,f2020,f2023,f2033,f2036,f2037,f2072,f2074,f2091,f2134,f2169,f2175,f2178,f2181,f2234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP125-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:47:32 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 4.13/0.94 % Refutation found
% 4.13/0.94 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.13/0.94 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.13/0.96 % Elapsed time: 0.596525 seconds
% 4.13/0.96 % CPU time: 4.585015 seconds
% 4.13/0.96 % Total memory used: 27.385 MB
% 4.13/0.96 % Net memory used: 23.496 MB
%------------------------------------------------------------------------------