TSTP Solution File: GRP129-4.004 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP129-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:10:38 EDT 2023
% Result : Unsatisfiable 1.81s 0.62s
% Output : CNFRefutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 88
% Syntax : Number of formulae : 572 ( 34 unt; 0 def)
% Number of atoms : 1632 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1826 ( 766 ~; 996 |; 0 &)
% ( 64 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 68 ( 67 usr; 65 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 166 (; 166 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(e_1,X,Y)
| product(e_2,X,Y)
| product(e_3,X,Y)
| product(e_4,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(X,e_1,Y)
| product(X,e_2,Y)
| product(X,e_3,Y)
| product(X,e_4,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [Y,X,Z1,Z2] :
( product(Y,X,Z1)
| ~ product(Z1,Y,Z2)
| ~ product(X,Z1,Z2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,Z1,Z2,Y] :
( product(X,Z1,Z2)
| ~ product(Z1,Y,Z2)
| ~ product(Y,X,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y,W,Z] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [Y,X,Z1,Z2] :
( ~ product(Y,X,Z1)
| ~ product(X,Z1,Z2)
| product(Z1,Y,Z2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product(e_1,X0,X1)
| product(e_2,X0,X1)
| product(e_3,X0,X1)
| product(e_4,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f27,plain,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,e_1,X1)
| product(X0,e_2,X1)
| product(X0,e_3,X1)
| product(X0,e_4,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f28,plain,
! [X,Z1,Z2] :
( ! [Y] :
( product(Y,X,Z1)
| ~ product(Z1,Y,Z2) )
| ~ product(X,Z1,Z2) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( product(X0,X1,X2)
| ~ product(X2,X0,X3)
| ~ product(X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f30,plain,
! [X,Z1,Y] :
( ! [Z2] :
( product(X,Z1,Z2)
| ~ product(Z1,Y,Z2) )
| ~ product(Y,X,Z1) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f31,plain,
! [X0,X1,X2,X3] :
( product(X0,X1,X2)
| ~ product(X1,X3,X2)
| ~ product(X3,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f32,plain,
group_element(e_1),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f33,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f34,plain,
group_element(e_3),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f35,plain,
group_element(e_4),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f36,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f37,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f38,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f39,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f40,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f41,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f42,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f44,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f45,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f46,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f47,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f48,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) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f49,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f51,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f53,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f55,plain,
! [Y,Z1,Z2] :
( ! [X] :
( ~ product(Y,X,Z1)
| ~ product(X,Z1,Z2) )
| product(Z1,Y,Z2) ),
inference(miniscoping,[status(esa)],[f25]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X1,X2,X3)
| product(X2,X0,X3) ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( product(X0,X0,X0)
| ~ product(X0,X0,X1) ),
inference(factoring,[status(esa)],[f29]) ).
fof(f58,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_2,X0,e_1)
| product(e_3,X0,e_1)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f26,f32]) ).
fof(f59,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_2)
| product(e_2,X0,e_2)
| product(e_3,X0,e_2)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f33,f26]) ).
fof(f60,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_3)
| product(e_2,X0,e_3)
| product(e_3,X0,e_3)
| product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f34,f26]) ).
fof(f61,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_4)
| product(e_2,X0,e_4)
| product(e_3,X0,e_4)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f35,f26]) ).
fof(f62,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_4)
| product(X0,e_2,e_4)
| product(X0,e_3,e_4)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f27,f35]) ).
fof(f63,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_3)
| product(X0,e_2,e_3)
| product(X0,e_3,e_3)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f27,f34]) ).
fof(f64,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_2)
| product(X0,e_2,e_2)
| product(X0,e_3,e_2)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f27,f33]) ).
fof(f65,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_2,e_1)
| product(X0,e_3,e_1)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f27,f32]) ).
fof(f66,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f48,f35]) ).
fof(f67,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f48,f34]) ).
fof(f68,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f48,f33]) ).
fof(f69,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f48,f32]) ).
fof(f70,plain,
( spl0_0
<=> product(e_1,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f71,plain,
( product(e_1,e_4,e_1)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,plain,
( spl0_1
<=> product(e_2,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f74,plain,
( product(e_2,e_4,e_1)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,plain,
( spl0_2
<=> product(e_3,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f77,plain,
( product(e_3,e_4,e_1)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,plain,
( spl0_3
<=> product(e_4,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f80,plain,
( product(e_4,e_4,e_1)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f84,plain,
( spl0_4
<=> product(e_1,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f85,plain,
( product(e_1,e_3,e_1)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,plain,
( spl0_5
<=> product(e_2,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f88,plain,
( product(e_2,e_3,e_1)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f90,plain,
( spl0_6
<=> product(e_3,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f91,plain,
( product(e_3,e_3,e_1)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,plain,
( spl0_7
<=> product(e_4,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f94,plain,
( product(e_4,e_3,e_1)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,plain,
( product(e_1,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f58,f34]) ).
fof(f97,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f96,f84,f87,f90,f93]) ).
fof(f98,plain,
( spl0_8
<=> product(e_1,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f99,plain,
( product(e_1,e_2,e_1)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,plain,
( spl0_9
<=> product(e_2,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f102,plain,
( product(e_2,e_2,e_1)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f101]) ).
fof(f104,plain,
( spl0_10
<=> product(e_3,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f105,plain,
( product(e_3,e_2,e_1)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f107,plain,
( spl0_11
<=> product(e_4,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f108,plain,
( product(e_4,e_2,e_1)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f107]) ).
fof(f110,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f58,f33]) ).
fof(f111,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f110,f98,f101,f104,f107]) ).
fof(f112,plain,
( spl0_12
<=> product(e_1,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f113,plain,
( product(e_1,e_1,e_1)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,plain,
( spl0_13
<=> product(e_2,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f116,plain,
( product(e_2,e_1,e_1)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,plain,
( spl0_14
<=> product(e_3,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f119,plain,
( product(e_3,e_1,e_1)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,plain,
( spl0_15
<=> product(e_4,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f122,plain,
( product(e_4,e_1,e_1)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f58,f32]) ).
fof(f125,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f124,f112,f115,f118,f121]) ).
fof(f126,plain,
( spl0_16
<=> product(e_1,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f127,plain,
( product(e_1,e_4,e_2)
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,plain,
( spl0_17
<=> product(e_2,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f132,plain,
( spl0_18
<=> product(e_3,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f133,plain,
( product(e_3,e_4,e_2)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,plain,
( spl0_19
<=> product(e_4,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f136,plain,
( product(e_4,e_4,e_2)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,plain,
( product(e_1,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f59,f35]) ).
fof(f139,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f138,f126,f129,f132,f135]) ).
fof(f140,plain,
( spl0_20
<=> product(e_1,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f141,plain,
( product(e_1,e_3,e_2)
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( spl0_21
<=> product(e_2,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f144,plain,
( product(e_2,e_3,e_2)
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( spl0_22
<=> product(e_3,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f147,plain,
( product(e_3,e_3,e_2)
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( spl0_23
<=> product(e_4,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f150,plain,
( product(e_4,e_3,e_2)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( product(e_1,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f59,f34]) ).
fof(f153,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f152,f140,f143,f146,f149]) ).
fof(f154,plain,
( spl0_24
<=> product(e_1,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f155,plain,
( product(e_1,e_2,e_2)
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,plain,
( spl0_25
<=> product(e_2,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f158,plain,
( product(e_2,e_2,e_2)
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( spl0_26
<=> product(e_3,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f161,plain,
( product(e_3,e_2,e_2)
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f163,plain,
( spl0_27
<=> product(e_4,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f164,plain,
( product(e_4,e_2,e_2)
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f168,plain,
( spl0_28
<=> product(e_1,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f169,plain,
( product(e_1,e_1,e_2)
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( spl0_29
<=> product(e_2,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f172,plain,
( product(e_2,e_1,e_2)
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( spl0_30
<=> product(e_3,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f175,plain,
( product(e_3,e_1,e_2)
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( spl0_31
<=> product(e_4,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f178,plain,
( product(e_4,e_1,e_2)
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f59,f32]) ).
fof(f181,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f180,f168,f171,f174,f177]) ).
fof(f182,plain,
( spl0_32
<=> product(e_1,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f183,plain,
( product(e_1,e_4,e_3)
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( spl0_33
<=> product(e_2,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f186,plain,
( product(e_2,e_4,e_3)
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,plain,
( spl0_34
<=> product(e_3,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f189,plain,
( product(e_3,e_4,e_3)
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( spl0_35
<=> product(e_4,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f192,plain,
( product(e_4,e_4,e_3)
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( product(e_1,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_3,e_4,e_3)
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f60,f35]) ).
fof(f195,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f194,f182,f185,f188,f191]) ).
fof(f196,plain,
( spl0_36
<=> product(e_1,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f197,plain,
( product(e_1,e_3,e_3)
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( spl0_37
<=> product(e_2,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f200,plain,
( product(e_2,e_3,e_3)
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( spl0_38
<=> product(e_3,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f203,plain,
( product(e_3,e_3,e_3)
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( spl0_39
<=> product(e_4,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f206,plain,
( product(e_4,e_3,e_3)
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,plain,
( product(e_1,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_3,e_3,e_3)
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f60,f34]) ).
fof(f209,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f208,f196,f199,f202,f205]) ).
fof(f210,plain,
( spl0_40
<=> product(e_1,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f211,plain,
( product(e_1,e_2,e_3)
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,plain,
( spl0_41
<=> product(e_2,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f214,plain,
( product(e_2,e_2,e_3)
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( spl0_42
<=> product(e_3,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f217,plain,
( product(e_3,e_2,e_3)
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,plain,
( spl0_43
<=> product(e_4,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f220,plain,
( product(e_4,e_2,e_3)
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,plain,
( product(e_1,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f60,f33]) ).
fof(f223,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f222,f210,f213,f216,f219]) ).
fof(f224,plain,
( spl0_44
<=> product(e_1,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f225,plain,
( product(e_1,e_1,e_3)
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( spl0_45
<=> product(e_2,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f228,plain,
( product(e_2,e_1,e_3)
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,plain,
( spl0_46
<=> product(e_3,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f231,plain,
( product(e_3,e_1,e_3)
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,plain,
( spl0_47
<=> product(e_4,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f234,plain,
( product(e_4,e_1,e_3)
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f238,plain,
( spl0_48
<=> product(e_1,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f239,plain,
( product(e_1,e_4,e_4)
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,plain,
( spl0_49
<=> product(e_2,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f242,plain,
( product(e_2,e_4,e_4)
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( spl0_50
<=> product(e_3,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f245,plain,
( product(e_3,e_4,e_4)
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( spl0_51
<=> product(e_4,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f248,plain,
( product(e_4,e_4,e_4)
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( product(e_1,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f61,f35]) ).
fof(f251,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f250,f238,f241,f244,f247]) ).
fof(f252,plain,
( spl0_52
<=> product(e_1,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f253,plain,
( product(e_1,e_3,e_4)
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( spl0_53
<=> product(e_2,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f256,plain,
( product(e_2,e_3,e_4)
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( spl0_54
<=> product(e_3,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f259,plain,
( product(e_3,e_3,e_4)
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( spl0_55
<=> product(e_4,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f262,plain,
( product(e_4,e_3,e_4)
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,plain,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f61,f34]) ).
fof(f265,plain,
( spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(split_clause,[status(thm)],[f264,f252,f255,f258,f261]) ).
fof(f266,plain,
( spl0_56
<=> product(e_1,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f267,plain,
( product(e_1,e_2,e_4)
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( spl0_57
<=> product(e_2,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f270,plain,
( product(e_2,e_2,e_4)
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,plain,
( spl0_58
<=> product(e_3,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f273,plain,
( product(e_3,e_2,e_4)
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f274,plain,
( ~ product(e_3,e_2,e_4)
| spl0_58 ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( spl0_59
<=> product(e_4,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f276,plain,
( product(e_4,e_2,e_4)
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,plain,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f61,f33]) ).
fof(f279,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f278,f266,f269,f272,f275]) ).
fof(f280,plain,
( spl0_60
<=> product(e_1,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f281,plain,
( product(e_1,e_1,e_4)
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( spl0_61
<=> product(e_2,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f284,plain,
( product(e_2,e_1,e_4)
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( spl0_62
<=> product(e_3,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f287,plain,
( product(e_3,e_1,e_4)
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( spl0_63
<=> product(e_4,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f290,plain,
( product(e_4,e_1,e_4)
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,plain,
( product(e_1,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f61,f32]) ).
fof(f293,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f292,f280,f283,f286,f289]) ).
fof(f296,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f62,f34]) ).
fof(f297,plain,
( spl0_62
| spl0_58
| spl0_54
| spl0_50 ),
inference(split_clause,[status(thm)],[f296,f286,f272,f258,f244]) ).
fof(f298,plain,
( product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f62,f33]) ).
fof(f299,plain,
( spl0_61
| spl0_57
| spl0_53
| spl0_49 ),
inference(split_clause,[status(thm)],[f298,f283,f269,f255,f241]) ).
fof(f300,plain,
( product(e_1,e_1,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f62,f32]) ).
fof(f301,plain,
( spl0_60
| spl0_56
| spl0_52
| spl0_48 ),
inference(split_clause,[status(thm)],[f300,f280,f266,f252,f238]) ).
fof(f302,plain,
( product(e_4,e_1,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_3,e_3)
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f63,f35]) ).
fof(f303,plain,
( spl0_47
| spl0_43
| spl0_39
| spl0_35 ),
inference(split_clause,[status(thm)],[f302,f233,f219,f205,f191]) ).
fof(f304,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f63,f34]) ).
fof(f305,plain,
( spl0_46
| spl0_42
| spl0_38
| spl0_34 ),
inference(split_clause,[status(thm)],[f304,f230,f216,f202,f188]) ).
fof(f308,plain,
( product(e_1,e_1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f63,f32]) ).
fof(f309,plain,
( spl0_44
| spl0_40
| spl0_36
| spl0_32 ),
inference(split_clause,[status(thm)],[f308,f224,f210,f196,f182]) ).
fof(f310,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f64,f35]) ).
fof(f311,plain,
( spl0_31
| spl0_27
| spl0_23
| spl0_19 ),
inference(split_clause,[status(thm)],[f310,f177,f163,f149,f135]) ).
fof(f312,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f64,f34]) ).
fof(f313,plain,
( spl0_30
| spl0_26
| spl0_22
| spl0_18 ),
inference(split_clause,[status(thm)],[f312,f174,f160,f146,f132]) ).
fof(f316,plain,
( product(e_1,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f64,f32]) ).
fof(f317,plain,
( spl0_28
| spl0_24
| spl0_20
| spl0_16 ),
inference(split_clause,[status(thm)],[f316,f168,f154,f140,f126]) ).
fof(f318,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f65,f35]) ).
fof(f319,plain,
( spl0_15
| spl0_11
| spl0_7
| spl0_3 ),
inference(split_clause,[status(thm)],[f318,f121,f107,f93,f79]) ).
fof(f320,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f65,f34]) ).
fof(f321,plain,
( spl0_14
| spl0_10
| spl0_6
| spl0_2 ),
inference(split_clause,[status(thm)],[f320,f118,f104,f90,f76]) ).
fof(f322,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f65,f33]) ).
fof(f323,plain,
( spl0_13
| spl0_9
| spl0_5
| spl0_1 ),
inference(split_clause,[status(thm)],[f322,f115,f101,f87,f73]) ).
fof(f326,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f66,f35]) ).
fof(f327,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f326,f79,f135,f191,f247]) ).
fof(f330,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) ),
inference(resolution,[status(thm)],[f66,f33]) ).
fof(f331,plain,
( spl0_1
| spl0_17
| spl0_33
| spl0_49 ),
inference(split_clause,[status(thm)],[f330,f73,f129,f185,f241]) ).
fof(f332,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) ),
inference(resolution,[status(thm)],[f66,f32]) ).
fof(f333,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f332,f70,f126,f182,f238]) ).
fof(f334,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) ),
inference(resolution,[status(thm)],[f67,f35]) ).
fof(f335,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f334,f93,f149,f205,f261]) ).
fof(f336,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) ),
inference(resolution,[status(thm)],[f67,f34]) ).
fof(f337,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f336,f90,f146,f202,f258]) ).
fof(f340,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) ),
inference(resolution,[status(thm)],[f67,f32]) ).
fof(f341,plain,
( spl0_4
| spl0_20
| spl0_36
| spl0_52 ),
inference(split_clause,[status(thm)],[f340,f84,f140,f196,f252]) ).
fof(f347,plain,
! [X0] :
( product(X0,e_4,e_1)
| ~ product(e_1,X0,e_1)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f122,f29]) ).
fof(f354,plain,
! [X0] :
( product(X0,e_3,e_1)
| ~ product(e_1,X0,e_1)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f119,f29]) ).
fof(f360,plain,
! [X0] :
( product(e_1,e_1,X0)
| ~ product(e_1,e_2,X0)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f116,f31]) ).
fof(f361,plain,
! [X0] :
( product(X0,e_2,e_1)
| ~ product(e_1,X0,e_1)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f116,f29]) ).
fof(f362,plain,
! [X0] :
( product(e_1,X0,e_2)
| ~ product(X0,e_2,e_1)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f116,f29]) ).
fof(f365,plain,
( product(e_1,e_4,e_1)
| ~ spl0_12
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f113,f347]) ).
fof(f369,plain,
! [X0] :
( ~ product(X0,e_1,e_1)
| product(e_1,X0,e_1)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f113,f56]) ).
fof(f372,plain,
! [X0] :
( product(X0,e_1,e_1)
| ~ product(e_1,X0,e_1)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f113,f29]) ).
fof(f376,plain,
( product(e_1,e_2,e_1)
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f369,f116]) ).
fof(f377,plain,
( product(e_1,e_3,e_1)
| ~ spl0_12
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f369,f119]) ).
fof(f380,plain,
( product(e_1,e_4,e_2)
| ~ spl0_11
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f108,f362]) ).
fof(f386,plain,
! [X0] :
( product(e_2,e_1,X0)
| ~ product(e_1,e_4,X0)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f108,f31]) ).
fof(f387,plain,
! [X0] :
( product(X0,e_4,e_2)
| ~ product(e_2,X0,e_1)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f108,f29]) ).
fof(f388,plain,
! [X0] :
( product(e_2,X0,e_4)
| ~ product(X0,e_4,e_1)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f108,f29]) ).
fof(f389,plain,
( product(e_1,e_3,e_2)
| ~ spl0_10
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f105,f362]) ).
fof(f394,plain,
! [X0] :
( ~ product(X0,e_3,e_2)
| product(e_2,X0,e_1)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f105,f56]) ).
fof(f395,plain,
! [X0] :
( product(e_2,e_1,X0)
| ~ product(e_1,e_3,X0)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f105,f31]) ).
fof(f396,plain,
! [X0] :
( product(X0,e_3,e_2)
| ~ product(e_2,X0,e_1)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f105,f29]) ).
fof(f397,plain,
! [X0] :
( product(e_2,X0,e_3)
| ~ product(X0,e_3,e_1)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f105,f29]) ).
fof(f408,plain,
( product(e_2,e_2,e_2)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f102,f29]) ).
fof(f412,plain,
( product(e_1,e_1,e_2)
| ~ spl0_8
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f99,f362]) ).
fof(f425,plain,
! [X0] :
( ~ product(X0,e_4,e_3)
| product(e_3,X0,e_1)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f94,f56]) ).
fof(f436,plain,
( product(e_3,e_3,e_3)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f91,f57]) ).
fof(f465,plain,
( product(e_4,e_4,e_4)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f80,f57]) ).
fof(f473,plain,
! [X0] :
( ~ product(X0,e_4,e_1)
| product(e_1,X0,e_2)
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f178,f56]) ).
fof(f474,plain,
! [X0] :
( product(e_1,e_2,X0)
| ~ product(e_2,e_4,X0)
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f178,f31]) ).
fof(f481,plain,
! [X0] :
( product(e_1,e_2,X0)
| ~ product(e_2,e_3,X0)
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f175,f31]) ).
fof(f483,plain,
! [X0] :
( product(e_1,X0,e_3)
| ~ product(X0,e_3,e_2)
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f175,f29]) ).
fof(f487,plain,
! [X0] :
( product(e_1,e_2,X0)
| ~ product(e_2,e_2,X0)
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f172,f31]) ).
fof(f488,plain,
! [X0] :
( product(X0,e_2,e_1)
| ~ product(e_1,X0,e_2)
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f172,f29]) ).
fof(f493,plain,
! [X0] :
( ~ product(X0,e_1,e_1)
| product(e_1,X0,e_2)
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f169,f56]) ).
fof(f530,plain,
! [X0] :
( ~ product(X0,e_4,e_3)
| product(e_3,X0,e_2)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f150,f56]) ).
fof(f534,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) ),
inference(resolution,[status(thm)],[f68,f35]) ).
fof(f535,plain,
( spl0_11
| spl0_27
| spl0_43
| spl0_59 ),
inference(split_clause,[status(thm)],[f534,f107,f163,f219,f275]) ).
fof(f538,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) ),
inference(resolution,[status(thm)],[f68,f33]) ).
fof(f539,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f538,f101,f157,f213,f269]) ).
fof(f540,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) ),
inference(resolution,[status(thm)],[f68,f32]) ).
fof(f541,plain,
( spl0_8
| spl0_24
| spl0_40
| spl0_56 ),
inference(split_clause,[status(thm)],[f540,f98,f154,f210,f266]) ).
fof(f542,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) ),
inference(resolution,[status(thm)],[f69,f35]) ).
fof(f543,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f542,f121,f177,f233,f289]) ).
fof(f544,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) ),
inference(resolution,[status(thm)],[f69,f34]) ).
fof(f545,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f544,f118,f174,f230,f286]) ).
fof(f546,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) ),
inference(resolution,[status(thm)],[f69,f33]) ).
fof(f547,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f546,f115,f171,f227,f283]) ).
fof(f548,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) ),
inference(resolution,[status(thm)],[f69,f32]) ).
fof(f549,plain,
( spl0_12
| spl0_28
| spl0_44
| spl0_60 ),
inference(split_clause,[status(thm)],[f548,f112,f168,f224,f280]) ).
fof(f552,plain,
( product(e_4,e_4,e_1)
| ~ spl0_12
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f365,f347]) ).
fof(f555,plain,
! [X0] :
( ~ product(X0,e_4,e_1)
| equalish(X0,e_1)
| ~ spl0_12
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f365,f54]) ).
fof(f637,plain,
( product(e_3,e_4,e_2)
| ~ spl0_11
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f387,f88]) ).
fof(f702,plain,
! [X0] :
( ~ product(e_3,X0,e_2)
| equalish(X0,e_4)
| ~ spl0_11
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f637,f52]) ).
fof(f703,plain,
! [X0] :
( ~ product(e_3,e_4,X0)
| equalish(X0,e_2)
| ~ spl0_11
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f637,f50]) ).
fof(f744,plain,
( product(e_3,e_3,e_2)
| ~ spl0_10
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f396,f88]) ).
fof(f747,plain,
( product(e_2,e_2,e_3)
| ~ spl0_10
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f397,f88]) ).
fof(f749,plain,
( product(e_2,e_4,e_3)
| ~ spl0_10
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f397,f94]) ).
fof(f749_001,plain,
( product(e_2,e_4,e_3)
| ~ spl0_10
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f397,f94]) ).
fof(f767,plain,
! [X0] :
( ~ product(X0,e_4,e_1)
| product(e_1,X0,e_3)
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f234,f56]) ).
fof(f768,plain,
! [X0] :
( product(e_1,e_3,X0)
| ~ product(e_3,e_4,X0)
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f234,f31]) ).
fof(f781,plain,
! [X0] :
( product(e_2,e_3,X0)
| ~ product(e_3,e_4,X0)
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f220,f31]) ).
fof(f787,plain,
! [X0] :
( ~ product(X0,e_3,e_2)
| product(e_2,X0,e_3)
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f217,f56]) ).
fof(f788,plain,
! [X0] :
( product(e_2,e_3,X0)
| ~ product(e_3,e_3,X0)
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f217,f31]) ).
fof(f832,plain,
! [X0] :
( ~ product(e_2,X0,e_3)
| equalish(X0,e_4)
| ~ spl0_10
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f749,f52]) ).
fof(f833,plain,
! [X0] :
( ~ product(e_2,e_4,X0)
| equalish(X0,e_3)
| ~ spl0_10
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f749,f50]) ).
fof(f849,plain,
( product(e_1,e_1,e_1)
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f169,f29]) ).
fof(f850,plain,
( spl0_12
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f849,f112,f168]) ).
fof(f860,plain,
( product(e_2,e_4,e_1)
| ~ spl0_10
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f394,f150]) ).
fof(f862,plain,
( spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f376,f98,f112,f115]) ).
fof(f864,plain,
( product(e_1,e_1,e_2)
| ~ spl0_24
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f155,f360]) ).
fof(f869,plain,
( product(e_2,e_2,e_1)
| ~ spl0_21
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f144,f394]) ).
fof(f870,plain,
( spl0_9
| ~ spl0_21
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f869,f101,f143,f104]) ).
fof(f874,plain,
( product(e_3,e_3,e_3)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f147,f29]) ).
fof(f877,plain,
! [X0] :
( ~ product(X0,e_3,e_3)
| equalish(X0,e_3)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f874,f54]) ).
fof(f888,plain,
( equalish(e_3,e_4)
| ~ spl0_11
| ~ spl0_5
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f702,f147]) ).
fof(f889,plain,
( $false
| ~ spl0_11
| ~ spl0_5
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f888,f44]) ).
fof(f890,plain,
( ~ spl0_11
| ~ spl0_5
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f889]) ).
fof(f891,plain,
( product(e_2,e_3,e_1)
| ~ spl0_22
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f147,f394]) ).
fof(f892,plain,
! [X0] :
( ~ product(X0,e_4,e_4)
| equalish(X0,e_4)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f465,f54]) ).
fof(f901,plain,
( product(e_3,e_2,e_1)
| ~ spl0_10
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f749,f425]) ).
fof(f910,plain,
! [X0] :
( ~ product(e_2,X0,e_1)
| equalish(X0,e_4)
| ~ spl0_10
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f860,f52]) ).
fof(f931,plain,
( equalish(e_4,e_3)
| ~ spl0_22
| ~ spl0_39 ),
inference(resolution,[status(thm)],[f877,f206]) ).
fof(f932,plain,
( $false
| ~ spl0_22
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f931,f47]) ).
fof(f933,plain,
( ~ spl0_22
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f932]) ).
fof(f953,plain,
( equalish(e_2,e_4)
| ~ spl0_10
| ~ spl0_7
| ~ spl0_41 ),
inference(resolution,[status(thm)],[f832,f214]) ).
fof(f954,plain,
( $false
| ~ spl0_10
| ~ spl0_7
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f953,f41]) ).
fof(f955,plain,
( ~ spl0_10
| ~ spl0_7
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f954]) ).
fof(f956,plain,
( product(e_3,e_1,e_1)
| ~ spl0_4
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f85,f372]) ).
fof(f956_002,plain,
( product(e_3,e_1,e_1)
| ~ spl0_4
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f85,f372]) ).
fof(f959,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| equalish(X0,e_1)
| ~ spl0_4
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f956,f50]) ).
fof(f970,plain,
( equalish(e_3,e_1)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f959,f231]) ).
fof(f971,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f970,f42]) ).
fof(f972,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f971]) ).
fof(f980,plain,
( product(e_1,e_2,e_3)
| ~ spl0_33
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f186,f474]) ).
fof(f1000,plain,
( product(e_1,e_1,e_1)
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f281,f57]) ).
fof(f1000_003,plain,
( product(e_1,e_1,e_1)
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f281,f57]) ).
fof(f1008,plain,
! [X0] :
( ~ product(X0,e_1,e_2)
| product(e_2,X0,e_4)
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f267,f56]) ).
fof(f1009,plain,
! [X0] :
( product(e_2,e_4,X0)
| ~ product(e_4,e_1,X0)
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f267,f31]) ).
fof(f1010,plain,
! [X0] :
( product(X0,e_1,e_2)
| ~ product(e_2,X0,e_4)
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f267,f29]) ).
fof(f1015,plain,
! [X0] :
( ~ product(X0,e_1,e_3)
| product(e_3,X0,e_4)
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f253,f56]) ).
fof(f1017,plain,
! [X0] :
( product(X0,e_1,e_3)
| ~ product(e_3,X0,e_4)
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f253,f29]) ).
fof(f1018,plain,
! [X0] :
( product(e_3,X0,e_1)
| ~ product(X0,e_1,e_4)
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f253,f29]) ).
fof(f1022,plain,
! [X0] :
( ~ product(X0,e_4,e_4)
| product(e_4,X0,e_4)
| ~ spl0_51 ),
inference(resolution,[status(thm)],[f248,f56]) ).
fof(f1025,plain,
! [X0] :
( product(X0,e_4,e_4)
| ~ product(e_4,X0,e_4)
| ~ spl0_51 ),
inference(resolution,[status(thm)],[f248,f29]) ).
fof(f1049,plain,
( product(e_1,e_1,e_2)
| ~ spl0_0
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f71,f473]) ).
fof(f1057,plain,
( product(e_1,e_2,e_1)
| ~ spl0_1
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f74,f474]) ).
fof(f1058,plain,
( spl0_8
| ~ spl0_1
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f1057,f98,f73,f177]) ).
fof(f1059,plain,
( product(e_1,e_2,e_2)
| ~ spl0_1
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f74,f473]) ).
fof(f1086,plain,
( product(e_3,e_3,e_3)
| ~ spl0_54 ),
inference(resolution,[status(thm)],[f259,f57]) ).
fof(f1108,plain,
! [X0] :
( ~ product(X0,e_3,e_2)
| product(e_2,X0,e_4)
| ~ spl0_58 ),
inference(resolution,[status(thm)],[f273,f56]) ).
fof(f1110,plain,
! [X0] :
( product(X0,e_3,e_2)
| ~ product(e_2,X0,e_4)
| ~ spl0_58 ),
inference(resolution,[status(thm)],[f273,f29]) ).
fof(f1113,plain,
! [X0] :
( ~ product(e_1,X0,e_1)
| equalish(X0,e_1)
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f1000,f52]) ).
fof(f1114,plain,
! [X0] :
( ~ product(e_1,e_1,X0)
| equalish(X0,e_1)
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f1000,f50]) ).
fof(f1122,plain,
! [X0] :
( ~ product(e_3,X0,e_3)
| equalish(X0,e_3)
| ~ spl0_54 ),
inference(resolution,[status(thm)],[f1086,f52]) ).
fof(f1132,plain,
( equalish(e_4,e_1)
| ~ spl0_60
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f1113,f71]) ).
fof(f1133,plain,
( $false
| ~ spl0_60
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1132,f45]) ).
fof(f1134,plain,
( ~ spl0_60
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f1133]) ).
fof(f1137,plain,
( equalish(e_4,e_3)
| ~ spl0_54
| ~ spl0_34 ),
inference(resolution,[status(thm)],[f1122,f189]) ).
fof(f1138,plain,
( $false
| ~ spl0_54
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f1137,f47]) ).
fof(f1139,plain,
( ~ spl0_54
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f1138]) ).
fof(f1140,plain,
( product(e_1,e_2,e_2)
| ~ spl0_29
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f487,f158]) ).
fof(f1144,plain,
( product(e_2,e_2,e_1)
| ~ spl0_25
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f1140,f488]) ).
fof(f1145,plain,
( spl0_9
| ~ spl0_25
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f1144,f101,f157,f171]) ).
fof(f1156,plain,
( product(e_2,e_2,e_2)
| ~ spl0_57 ),
inference(resolution,[status(thm)],[f270,f29]) ).
fof(f1157,plain,
( spl0_25
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1156,f157,f269]) ).
fof(f1163,plain,
( spl0_28
| ~ spl0_8
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f412,f168,f98,f115]) ).
fof(f1166,plain,
( product(e_2,e_2,e_1)
| ~ spl0_8
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f99,f361]) ).
fof(f1171,plain,
( spl0_24
| ~ spl0_1
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f1059,f154,f73,f177]) ).
fof(f1188,plain,
( equalish(e_1,e_4)
| ~ spl0_3
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f892,f239]) ).
fof(f1189,plain,
( $false
| ~ spl0_3
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f1188,f38]) ).
fof(f1190,plain,
( ~ spl0_3
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f1189]) ).
fof(f1199,plain,
( product(e_3,e_1,e_2)
| ~ spl0_23
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f530,f183]) ).
fof(f1200,plain,
( spl0_30
| ~ spl0_23
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f1199,f174,f149,f182]) ).
fof(f1201,plain,
( product(e_3,e_2,e_2)
| ~ spl0_23
| ~ spl0_33 ),
inference(resolution,[status(thm)],[f530,f186]) ).
fof(f1202,plain,
( spl0_26
| ~ spl0_23
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f1201,f160,f149,f185]) ).
fof(f1203,plain,
( product(e_1,e_3,e_3)
| ~ spl0_47
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f767,f77]) ).
fof(f1204,plain,
( product(e_1,e_3,e_1)
| ~ spl0_47
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f768,f77]) ).
fof(f1207,plain,
! [X0] :
( ~ product(e_1,e_3,X0)
| equalish(X0,e_3)
| ~ spl0_47
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f1203,f50]) ).
fof(f1223,plain,
( equalish(e_1,e_3)
| ~ spl0_47
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f1207,f1204]) ).
fof(f1224,plain,
( $false
| ~ spl0_47
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f1223,f37]) ).
fof(f1225,plain,
( ~ spl0_47
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f1224]) ).
fof(f1226,plain,
( product(e_2,e_3,e_1)
| ~ spl0_43
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f781,f77]) ).
fof(f1227,plain,
( spl0_5
| ~ spl0_43
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f1226,f87,f219,f76]) ).
fof(f1230,plain,
( equalish(e_4,e_1)
| ~ spl0_12
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f555,f552]) ).
fof(f1231,plain,
( $false
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1230,f45]) ).
fof(f1232,plain,
( ~ spl0_12
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1231]) ).
fof(f1243,plain,
( spl0_41
| ~ spl0_10
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f747,f213,f104,f87]) ).
fof(f1244,plain,
( equalish(e_2,e_4)
| ~ spl0_3
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f892,f242]) ).
fof(f1245,plain,
( $false
| ~ spl0_3
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1244,f41]) ).
fof(f1246,plain,
( ~ spl0_3
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1245]) ).
fof(f1252,plain,
( product(e_2,e_2,e_2)
| ~ spl0_41 ),
inference(resolution,[status(thm)],[f214,f57]) ).
fof(f1253,plain,
( product(e_2,e_2,e_2)
| ~ spl0_41 ),
inference(resolution,[status(thm)],[f214,f29]) ).
fof(f1255,plain,
( spl0_9
| ~ spl0_8
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1166,f101,f98,f115]) ).
fof(f1256,plain,
( product(e_2,e_1,e_1)
| ~ spl0_8
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f99,f372]) ).
fof(f1257,plain,
( product(e_2,e_1,e_2)
| ~ spl0_11
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f386,f380]) ).
fof(f1258,plain,
( spl0_29
| ~ spl0_11
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1257,f171,f107,f115]) ).
fof(f1262,plain,
( spl0_28
| ~ spl0_0
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f1049,f168,f70,f177]) ).
fof(f1263,plain,
( spl0_12
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f1000,f112,f280]) ).
fof(f1268,plain,
( product(e_2,e_2,e_2)
| ~ spl0_41 ),
inference(resolution,[status(thm)],[f1252,f57]) ).
fof(f1269,plain,
( spl0_25
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f1268,f157,f213]) ).
fof(f1276,plain,
( spl0_28
| ~ spl0_24
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f864,f168,f154,f115]) ).
fof(f1277,plain,
( product(e_2,e_1,e_2)
| ~ spl0_10
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f395,f389]) ).
fof(f1278,plain,
( spl0_29
| ~ spl0_10
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1277,f171,f104,f115]) ).
fof(f1279,plain,
( equalish(e_3,e_4)
| ~ spl0_3
| ~ spl0_50 ),
inference(resolution,[status(thm)],[f892,f245]) ).
fof(f1280,plain,
( $false
| ~ spl0_3
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f1279,f44]) ).
fof(f1281,plain,
( ~ spl0_3
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f1280]) ).
fof(f1300,plain,
( product(e_3,e_3,e_1)
| ~ spl0_4
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f85,f354]) ).
fof(f1301,plain,
( spl0_13
| ~ spl0_8
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f1256,f115,f98,f112]) ).
fof(f1302,plain,
( equalish(e_2,e_1)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f959,f175]) ).
fof(f1303,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f1302,f39]) ).
fof(f1304,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f1303]) ).
fof(f1317,plain,
! [X0] :
( product(X0,e_2,e_1)
| ~ product(e_1,X0,e_4)
| ~ spl0_61 ),
inference(resolution,[status(thm)],[f284,f29]) ).
fof(f1343,plain,
! [X0] :
( ~ product(X0,e_1,e_2)
| product(e_2,X0,e_3)
| ~ spl0_40 ),
inference(resolution,[status(thm)],[f211,f56]) ).
fof(f1346,plain,
! [X0] :
( product(e_2,X0,e_1)
| ~ product(X0,e_1,e_3)
| ~ spl0_40 ),
inference(resolution,[status(thm)],[f211,f29]) ).
fof(f1352,plain,
( product(e_1,e_1,e_1)
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f225,f57]) ).
fof(f1353,plain,
( spl0_12
| ~ spl0_44 ),
inference(split_clause,[status(thm)],[f1352,f112,f224]) ).
fof(f1364,plain,
! [X0] :
( product(e_1,e_3,X0)
| ~ product(e_3,e_2,X0)
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f228,f31]) ).
fof(f1372,plain,
! [X0] :
( product(X0,e_1,e_4)
| ~ product(e_4,X0,e_2)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f127,f29]) ).
fof(f1388,plain,
( product(e_2,e_3,e_3)
| ~ spl0_38
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f203,f788]) ).
fof(f1389,plain,
( spl0_37
| ~ spl0_38
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f1388,f199,f202,f216]) ).
fof(f1402,plain,
! [X0] :
( ~ product(X0,e_3,e_4)
| product(e_4,X0,e_2)
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f133,f56]) ).
fof(f1403,plain,
! [X0] :
( product(e_4,e_2,X0)
| ~ product(e_2,e_3,X0)
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f133,f31]) ).
fof(f1405,plain,
! [X0] :
( product(e_4,X0,e_3)
| ~ product(X0,e_3,e_2)
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f133,f29]) ).
fof(f1424,plain,
! [X0] :
( ~ product(e_3,e_3,X0)
| equalish(X0,e_3)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f436,f50]) ).
fof(f1435,plain,
( spl0_6
| ~ spl0_4
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f1300,f90,f84,f118]) ).
fof(f1437,plain,
( spl0_22
| ~ spl0_10
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f744,f146,f104,f87]) ).
fof(f1439,plain,
( spl0_4
| ~ spl0_12
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f377,f84,f112,f118]) ).
fof(f1442,plain,
( spl0_14
| ~ spl0_4
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f956,f118,f84,f112]) ).
fof(f1475,plain,
( product(e_2,e_4,e_4)
| ~ spl0_56
| ~ spl0_63 ),
inference(resolution,[status(thm)],[f1009,f290]) ).
fof(f1476,plain,
( spl0_49
| ~ spl0_56
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f1475,f241,f266,f289]) ).
fof(f1501,plain,
( equalish(e_2,e_4)
| ~ spl0_11
| ~ spl0_5
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f702,f161]) ).
fof(f1502,plain,
( $false
| ~ spl0_11
| ~ spl0_5
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f1501,f41]) ).
fof(f1503,plain,
( ~ spl0_11
| ~ spl0_5
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f1502]) ).
fof(f1504,plain,
( product(e_1,e_2,e_4)
| ~ spl0_30
| ~ spl0_53 ),
inference(resolution,[status(thm)],[f481,f256]) ).
fof(f1505,plain,
( spl0_56
| ~ spl0_30
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f1504,f266,f174,f255]) ).
fof(f1506,plain,
! [X0] :
( ~ product(X0,e_2,e_2)
| equalish(X0,e_2)
| ~ spl0_41 ),
inference(resolution,[status(thm)],[f1253,f54]) ).
fof(f1522,plain,
! [X0] :
( ~ product(X0,e_3,e_3)
| equalish(X0,e_3)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f874,f54]) ).
fof(f1533,plain,
( product(e_3,e_2,e_1)
| ~ spl0_52
| ~ spl0_61 ),
inference(resolution,[status(thm)],[f1018,f284]) ).
fof(f1534,plain,
( product(e_3,e_3,e_1)
| ~ spl0_52
| ~ spl0_62 ),
inference(resolution,[status(thm)],[f1018,f287]) ).
fof(f1535,plain,
( spl0_6
| ~ spl0_52
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f1534,f90,f252,f286]) ).
fof(f1542,plain,
( equalish(e_1,e_3)
| ~ spl0_22
| ~ spl0_36 ),
inference(resolution,[status(thm)],[f877,f197]) ).
fof(f1543,plain,
( $false
| ~ spl0_22
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f1542,f37]) ).
fof(f1544,plain,
( ~ spl0_22
| ~ spl0_36 ),
inference(contradiction_clause,[status(thm)],[f1543]) ).
fof(f1554,plain,
( product(e_2,e_4,e_4)
| ~ spl0_51
| ~ spl0_59 ),
inference(resolution,[status(thm)],[f1025,f276]) ).
fof(f1555,plain,
( spl0_49
| ~ spl0_51
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1554,f241,f247,f275]) ).
fof(f1557,plain,
( product(e_3,e_4,e_4)
| ~ spl0_51
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f1025,f262]) ).
fof(f1558,plain,
( spl0_50
| ~ spl0_51
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f1557,f244,f247,f261]) ).
fof(f1559,plain,
( spl0_10
| ~ spl0_52
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1533,f104,f252,f283]) ).
fof(f1620,plain,
( product(e_1,e_4,e_4)
| ~ spl0_63
| ~ spl0_51 ),
inference(resolution,[status(thm)],[f290,f1025]) ).
fof(f1621,plain,
( spl0_48
| ~ spl0_63
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1620,f238,f289,f247]) ).
fof(f1661,plain,
( product(e_4,e_4,e_4)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f192,f29]) ).
fof(f1666,plain,
! [X0] :
( ~ product(e_4,e_4,X0)
| equalish(X0,e_4)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1661,f50]) ).
fof(f1673,plain,
( product(e_2,e_1,e_4)
| ~ spl0_58
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f1108,f141]) ).
fof(f1674,plain,
( spl0_61
| ~ spl0_58
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1673,f283,f272,f140]) ).
fof(f1681,plain,
( equalish(e_3,e_4)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f1666,f192]) ).
fof(f1682,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1681,f44]) ).
fof(f1683,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f1682]) ).
fof(f1697,plain,
( equalish(e_3,e_1)
| ~ spl0_60
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f1114,f225]) ).
fof(f1698,plain,
( $false
| ~ spl0_60
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f1697,f42]) ).
fof(f1699,plain,
( ~ spl0_60
| ~ spl0_44 ),
inference(contradiction_clause,[status(thm)],[f1698]) ).
fof(f1702,plain,
( spl0_1
| ~ spl0_10
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f860,f73,f104,f149]) ).
fof(f1704,plain,
( product(e_4,e_4,e_4)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f136,f29]) ).
fof(f1704_004,plain,
( product(e_4,e_4,e_4)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f136,f29]) ).
fof(f1707,plain,
( product(e_2,e_2,e_1)
| ~ spl0_40
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f1346,f228]) ).
fof(f1728,plain,
! [X0] :
( ~ product(X0,e_4,e_4)
| equalish(X0,e_4)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f1704,f54]) ).
fof(f1755,plain,
( spl0_9
| ~ spl0_40
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f1707,f101,f210,f227]) ).
fof(f1759,plain,
( product(e_2,e_1,e_3)
| ~ spl0_40
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f1343,f169]) ).
fof(f1760,plain,
( spl0_45
| ~ spl0_40
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f1759,f227,f210,f168]) ).
fof(f1761,plain,
( product(e_2,e_1,e_3)
| ~ spl0_52
| ~ spl0_58 ),
inference(resolution,[status(thm)],[f1017,f273]) ).
fof(f1762,plain,
( spl0_45
| ~ spl0_52
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f1761,f227,f252,f272]) ).
fof(f1763,plain,
( equalish(e_2,e_3)
| ~ spl0_54
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f1122,f217]) ).
fof(f1764,plain,
( $false
| ~ spl0_54
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f1763,f40]) ).
fof(f1765,plain,
( ~ spl0_54
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f1764]) ).
fof(f1841,plain,
( equalish(e_2,e_4)
| ~ spl0_19
| ~ spl0_49 ),
inference(resolution,[status(thm)],[f1728,f242]) ).
fof(f1842,plain,
( $false
| ~ spl0_19
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1841,f41]) ).
fof(f1843,plain,
( ~ spl0_19
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1842]) ).
fof(f1844,plain,
( equalish(e_1,e_4)
| ~ spl0_19
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f1728,f239]) ).
fof(f1845,plain,
( $false
| ~ spl0_19
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f1844,f38]) ).
fof(f1846,plain,
( ~ spl0_19
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f1845]) ).
fof(f1848,plain,
( spl0_40
| ~ spl0_33
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f980,f210,f185,f177]) ).
fof(f1849,plain,
( product(e_4,e_1,e_4)
| ~ spl0_16
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f1372,f136]) ).
fof(f1850,plain,
( spl0_63
| ~ spl0_16
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1849,f289,f126,f135]) ).
fof(f1853,plain,
! [X0] :
( ~ product(e_2,e_2,X0)
| equalish(X0,e_2)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f408,f50]) ).
fof(f1875,plain,
( product(e_4,e_1,e_3)
| ~ spl0_18
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f1405,f141]) ).
fof(f1876,plain,
( spl0_47
| ~ spl0_18
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f1875,f233,f132,f140]) ).
fof(f1880,plain,
( product(e_4,e_2,e_1)
| ~ spl0_22
| ~ spl0_10
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f891,f1403]) ).
fof(f1881,plain,
( spl0_11
| ~ spl0_22
| ~ spl0_10
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1880,f107,f146,f104,f132]) ).
fof(f1915,plain,
( product(e_4,e_2,e_4)
| ~ spl0_53
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f256,f1403]) ).
fof(f1916,plain,
( product(e_4,e_2,e_2)
| ~ spl0_53
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f256,f1402]) ).
fof(f1931,plain,
( equalish(e_1,e_2)
| ~ spl0_24
| ~ spl0_41 ),
inference(resolution,[status(thm)],[f155,f1506]) ).
fof(f1932,plain,
( $false
| ~ spl0_24
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f1931,f36]) ).
fof(f1933,plain,
( ~ spl0_24
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f1932]) ).
fof(f1941,plain,
( equalish(e_4,e_2)
| ~ spl0_27
| ~ spl0_41 ),
inference(resolution,[status(thm)],[f164,f1506]) ).
fof(f1942,plain,
( $false
| ~ spl0_27
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f1941,f46]) ).
fof(f1943,plain,
( ~ spl0_27
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f1942]) ).
fof(f1944,plain,
( equalish(e_1,e_4)
| ~ spl0_11
| ~ spl0_5
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f702,f175]) ).
fof(f1945,plain,
( $false
| ~ spl0_11
| ~ spl0_5
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f1944,f38]) ).
fof(f1946,plain,
( ~ spl0_11
| ~ spl0_5
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f1945]) ).
fof(f1960,plain,
! [X0] :
( product(X0,e_4,e_4)
| ~ product(e_4,X0,e_4)
| ~ spl0_51 ),
inference(resolution,[status(thm)],[f248,f29]) ).
fof(f1980,plain,
( product(e_2,e_2,e_1)
| ~ spl0_61
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f1317,f267]) ).
fof(f1984,plain,
( spl0_27
| ~ spl0_53
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1916,f163,f255,f132]) ).
fof(f2000,plain,
( product(e_1,e_1,e_2)
| ~ spl0_28
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f493,f113]) ).
fof(f2001,plain,
( product(e_2,e_1,e_4)
| ~ spl0_28
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f169,f1008]) ).
fof(f2002,plain,
( spl0_61
| ~ spl0_28
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f2001,f283,f168,f266]) ).
fof(f2010,plain,
( product(e_1,e_4,e_3)
| ~ spl0_30
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f483,f150]) ).
fof(f2011,plain,
( spl0_32
| ~ spl0_30
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f2010,f182,f174,f149]) ).
fof(f2012,plain,
( product(e_4,e_3,e_2)
| ~ spl0_49
| ~ spl0_58 ),
inference(resolution,[status(thm)],[f242,f1110]) ).
fof(f2013,plain,
( product(e_4,e_1,e_2)
| ~ spl0_49
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f242,f1010]) ).
fof(f2014,plain,
( spl0_31
| ~ spl0_49
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f2013,f177,f241,f266]) ).
fof(f2015,plain,
( product(e_4,e_2,e_4)
| ~ spl0_49
| ~ spl0_51 ),
inference(resolution,[status(thm)],[f242,f1022]) ).
fof(f2030,plain,
( equalish(e_1,e_3)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f91,f1424]) ).
fof(f2031,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f2030,f37]) ).
fof(f2032,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f2031]) ).
fof(f2033,plain,
( spl0_9
| ~ spl0_61
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1980,f101,f283,f266]) ).
fof(f2079,plain,
( equalish(e_3,e_4)
| ~ spl0_23
| ~ spl0_22
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f910,f891]) ).
fof(f2080,plain,
( $false
| ~ spl0_23
| ~ spl0_22
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f2079,f44]) ).
fof(f2081,plain,
( ~ spl0_23
| ~ spl0_22
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f2080]) ).
fof(f2082,plain,
( spl0_51
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f1704,f247,f135]) ).
fof(f2092,plain,
( product(e_2,e_1,e_3)
| ~ spl0_20
| ~ spl0_42 ),
inference(resolution,[status(thm)],[f141,f787]) ).
fof(f2093,plain,
( spl0_45
| ~ spl0_20
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f2092,f227,f140,f216]) ).
fof(f2101,plain,
( product(e_1,e_2,e_4)
| ~ spl0_29
| ~ spl0_57 ),
inference(resolution,[status(thm)],[f487,f270]) ).
fof(f2102,plain,
( spl0_56
| ~ spl0_29
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f2101,f266,f171,f269]) ).
fof(f2103,plain,
( product(e_1,e_2,e_4)
| ~ spl0_49
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f242,f474]) ).
fof(f2104,plain,
! [X0] :
( ~ product(X0,e_2,e_4)
| equalish(X0,e_4)
| ~ spl0_49
| ~ spl0_51 ),
inference(resolution,[status(thm)],[f2015,f54]) ).
fof(f2119,plain,
( equalish(e_1,e_4)
| ~ spl0_51
| ~ spl0_49
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f2104,f2103]) ).
fof(f2120,plain,
( $false
| ~ spl0_51
| ~ spl0_49
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f2119,f38]) ).
fof(f2121,plain,
( ~ spl0_51
| ~ spl0_49
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f2120]) ).
fof(f2133,plain,
! [X0] :
( ~ product(e_1,e_1,X0)
| equalish(X0,e_2)
| ~ spl0_28
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f2000,f50]) ).
fof(f2153,plain,
( equalish(e_2,e_3)
| ~ spl0_37
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f200,f1522]) ).
fof(f2154,plain,
( $false
| ~ spl0_37
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f2153,f40]) ).
fof(f2155,plain,
( ~ spl0_37
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f2154]) ).
fof(f2156,plain,
( spl0_23
| ~ spl0_49
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f2012,f149,f241,f272]) ).
fof(f2178,plain,
( equalish(e_1,e_2)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f102,f1853]) ).
fof(f2179,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f2178,f36]) ).
fof(f2180,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f2179]) ).
fof(f2183,plain,
( spl0_59
| ~ spl0_53
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f1915,f275,f255,f132]) ).
fof(f2193,plain,
( product(e_3,e_2,e_4)
| ~ spl0_52
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f1015,f228]) ).
fof(f2226,plain,
( equalish(e_1,e_2)
| ~ spl0_11
| ~ spl0_5
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f703,f77]) ).
fof(f2227,plain,
( $false
| ~ spl0_11
| ~ spl0_5
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f2226,f36]) ).
fof(f2228,plain,
( ~ spl0_11
| ~ spl0_5
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f2227]) ).
fof(f2229,plain,
( $false
| ~ spl0_52
| ~ spl0_45
| spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f274,f2193]) ).
fof(f2230,plain,
( ~ spl0_52
| ~ spl0_45
| spl0_58 ),
inference(contradiction_clause,[status(thm)],[f2229]) ).
fof(f2233,plain,
( equalish(e_1,e_2)
| ~ spl0_28
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f2133,f113]) ).
fof(f2234,plain,
( $false
| ~ spl0_28
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f2233,f36]) ).
fof(f2235,plain,
( ~ spl0_28
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f2234]) ).
fof(f2239,plain,
( product(e_2,e_3,e_4)
| ~ spl0_11
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f388,f77]) ).
fof(f2240,plain,
( spl0_53
| ~ spl0_11
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f2239,f255,f107,f76]) ).
fof(f2241,plain,
( spl0_33
| ~ spl0_10
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f749,f185,f104,f93]) ).
fof(f2244,plain,
( product(e_1,e_3,e_1)
| ~ spl0_10
| ~ spl0_7
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f901,f1364]) ).
fof(f2245,plain,
( spl0_4
| ~ spl0_10
| ~ spl0_7
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f2244,f84,f104,f93,f227]) ).
fof(f2262,plain,
( product(e_2,e_4,e_4)
| ~ spl0_49
| ~ spl0_51 ),
inference(resolution,[status(thm)],[f2015,f1960]) ).
fof(f2278,plain,
( equalish(e_4,e_3)
| ~ spl0_10
| ~ spl0_7
| ~ spl0_49
| ~ spl0_51 ),
inference(resolution,[status(thm)],[f833,f2262]) ).
fof(f2279,plain,
( $false
| ~ spl0_10
| ~ spl0_7
| ~ spl0_49
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f2278,f47]) ).
fof(f2280,plain,
( ~ spl0_10
| ~ spl0_7
| ~ spl0_49
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f2279]) ).
fof(f2303,plain,
( equalish(e_1,e_3)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f74,f833]) ).
fof(f2304,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f2303,f37]) ).
fof(f2305,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f2304]) ).
fof(f2306,plain,
$false,
inference(sat_refutation,[status(thm)],[f97,f111,f125,f139,f153,f181,f195,f209,f223,f251,f265,f279,f293,f297,f299,f301,f303,f305,f309,f311,f313,f317,f319,f321,f323,f327,f331,f333,f335,f337,f341,f535,f539,f541,f543,f545,f547,f549,f850,f862,f870,f890,f933,f955,f972,f1058,f1134,f1139,f1145,f1157,f1163,f1171,f1190,f1200,f1202,f1225,f1227,f1232,f1243,f1246,f1255,f1258,f1262,f1263,f1269,f1276,f1278,f1281,f1301,f1304,f1353,f1389,f1435,f1437,f1439,f1442,f1476,f1503,f1505,f1535,f1544,f1555,f1558,f1559,f1621,f1674,f1683,f1699,f1702,f1755,f1760,f1762,f1765,f1843,f1846,f1848,f1850,f1876,f1881,f1933,f1943,f1946,f1984,f2002,f2011,f2014,f2032,f2033,f2081,f2082,f2093,f2102,f2121,f2155,f2156,f2180,f2183,f2228,f2230,f2235,f2240,f2241,f2245,f2280,f2305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP129-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n007.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:14:02 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 1.81/0.62 % Refutation found
% 1.81/0.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.81/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.81/0.64 % Elapsed time: 0.319306 seconds
% 1.81/0.64 % CPU time: 1.861613 seconds
% 1.81/0.64 % Memory used: 20.232 MB
%------------------------------------------------------------------------------