%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP127-2.006 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:32:45 PM UTC 2026
% Result : Unsatisfiable 65.74s 8.75s
% Output : CNFRefutation 65.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 266
% Syntax : Number of formulae : 1641 ( 182 unt; 214 def)
% Number of atoms : 4259 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 4935 (2317 ~;2404 |; 0 &)
% ( 214 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 220 ( 219 usr; 215 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 230 ( 230 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
next(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
greater(e_6,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
greater(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
greater(e_6,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
greater(e_6,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y,X1] :
( ~ greater(Y,X1)
| ~ next(X,X1)
| ~ product(X,e_1,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
group_element(e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ equalish(e_1,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_2,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
~ equalish(e_3,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
~ equalish(e_4,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,axiom,
~ equalish(e_5,e_6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
~ equalish(e_6,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
~ equalish(e_6,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,axiom,
~ equalish(e_6,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
~ equalish(e_6,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
~ equalish(e_6,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [X,Y] :
( product(X,Y,e_6)
| product(X,Y,e_5)
| product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
! [Y,X,Z1,Z2] :
( product(Z2,Y,X)
| ~ product(Z1,Y,Z2)
| ~ product(Y,X,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
next(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f67,plain,
next(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f78,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f79,plain,
greater(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f80,plain,
greater(e_6,e_3),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f81,plain,
greater(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f82,plain,
greater(e_6,e_4),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f83,plain,
greater(e_6,e_5),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f84,plain,
! [Y,X1] :
( ~ greater(Y,X1)
| ! [X] :
( ~ next(X,X1)
| ~ product(X,e_1,Y) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ~ product(X2,e_1,X0)
| ~ next(X2,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f86,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f87,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f88,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f89,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f90,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f91,plain,
group_element(e_6),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f92,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f93,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f94,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f95,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f96,plain,
~ equalish(e_1,e_6),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f97,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f98,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f99,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f100,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f101,plain,
~ equalish(e_2,e_6),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f102,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f103,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f104,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f105,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f106,plain,
~ equalish(e_3,e_6),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f107,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f108,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f109,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f110,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f111,plain,
~ equalish(e_4,e_6),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f112,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f113,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f114,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f115,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f116,plain,
~ equalish(e_5,e_6),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f117,plain,
~ equalish(e_6,e_1),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f118,plain,
~ equalish(e_6,e_2),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f119,plain,
~ equalish(e_6,e_3),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f120,plain,
~ equalish(e_6,e_4),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f121,plain,
~ equalish(e_6,e_5),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f122,plain,
! [X0,X1] :
( product(X0,X1,e_5)
| product(X0,X1,e_6)
| product(X0,X1,e_1)
| product(X0,X1,e_4)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f123,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( ~ product(X2,X3,X1)
| ~ product(X2,X3,X0)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f125,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X3,X2)
| equalish(X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
fof(f127,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f61]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f127]) ).
fof(f129,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f130,plain,
! [Y,X,Z2] :
( product(Z2,Y,X)
| ! [Z1] :
( ~ product(Z1,Y,Z2)
| ~ product(Y,X,Z1) ) ),
inference(miniscoping,[status(thm)],[f63]) ).
fof(f131,plain,
! [X0,X1,X2,X3] :
( ~ product(X1,X3,X0)
| product(X2,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f132,plain,
! [X0,X1] :
( product(X1,X0,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f129,f131]) ).
fof(f134,plain,
! [X0,X1] :
( ~ product(X1,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f124,f129]) ).
fof(f136,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f126,f129]) ).
fof(f138,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f128,f129]) ).
fof(f141,plain,
! [X0] :
( product(X0,e_6,e_2)
| product(X0,e_6,e_4)
| product(X0,e_6,e_1)
| product(X0,e_6,e_3)
| product(X0,e_6,e_6)
| product(X0,e_6,e_5)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f91,f122]) ).
fof(f142,plain,
( product(e_6,e_6,e_2)
| product(e_6,e_6,e_4)
| product(e_6,e_6,e_1)
| product(e_6,e_6,e_3)
| product(e_6,e_6,e_6)
| product(e_6,e_6,e_5) ),
inference(resolution,[status(thm)],[f141,f91]) ).
fof(f143,definition,
( sQ0_spl
<=> product(e_6,e_6,e_5) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ0_spl
| product(e_6,e_6,e_5) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ1_spl
<=> product(e_6,e_6,e_6) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f149,definition,
( sQ2_spl
<=> product(e_6,e_6,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ2_spl
| product(e_6,e_6,e_3) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,definition,
( sQ3_spl
<=> product(e_6,e_6,e_1) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( ~ sQ3_spl
| product(e_6,e_6,e_1) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,definition,
( sQ4_spl
<=> product(e_6,e_6,e_4) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ4_spl
| product(e_6,e_6,e_4) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,definition,
( sQ5_spl
<=> product(e_6,e_6,e_2) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f159,plain,
( ~ sQ5_spl
| product(e_6,e_6,e_2) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,plain,
( sQ5_spl
| sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f142,f143,f146,f149,f152,f155,f158]) ).
fof(f162,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_1)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_6)
| product(e_1,e_6,e_5) ),
inference(resolution,[status(thm)],[f86,f141]) ).
fof(f163,plain,
! [X0] :
( product(X0,e_1,e_6)
| product(X0,e_1,e_4)
| ~ group_element(X0)
| product(X0,e_1,e_3)
| product(X0,e_1,e_5)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f86,f122]) ).
fof(f164,definition,
( sQ6_spl
<=> product(e_1,e_6,e_5) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ6_spl
| product(e_1,e_6,e_5) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,definition,
( sQ7_spl
<=> product(e_1,e_6,e_6) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( ~ sQ7_spl
| product(e_1,e_6,e_6) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,definition,
( sQ8_spl
<=> product(e_1,e_6,e_3) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ8_spl
| product(e_1,e_6,e_3) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,definition,
( sQ9_spl
<=> product(e_1,e_6,e_1) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( ~ sQ9_spl
| product(e_1,e_6,e_1) ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f176,definition,
( sQ10_spl
<=> product(e_1,e_6,e_4) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( ~ sQ10_spl
| product(e_1,e_6,e_4) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,definition,
( sQ11_spl
<=> product(e_1,e_6,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ11_spl
| product(e_1,e_6,e_2) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f162,f164,f167,f170,f173,f176,f179]) ).
fof(f183,plain,
( product(e_1,e_1,e_6)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_5)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f163,f86]) ).
fof(f184,plain,
( product(e_6,e_1,e_6)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_5)
| product(e_6,e_1,e_1)
| product(e_6,e_1,e_2) ),
inference(resolution,[status(thm)],[f163,f91]) ).
fof(f185,definition,
( sQ12_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ12_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,definition,
( sQ13_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f191,definition,
( sQ14_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ14_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,definition,
( sQ15_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ15_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,definition,
( sQ16_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( ~ sQ16_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,definition,
( sQ17_spl
<=> product(e_1,e_1,e_6) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ17_spl
| product(e_1,e_1,e_6) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( sQ17_spl
| sQ16_spl
| sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f183,f185,f188,f191,f194,f197,f200]) ).
fof(f204,definition,
( sQ18_spl
<=> product(e_6,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ18_spl
| product(e_6,e_1,e_2) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,definition,
( sQ19_spl
<=> product(e_6,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ19_spl
| product(e_6,e_1,e_1) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,definition,
( sQ20_spl
<=> product(e_6,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f211,plain,
( ~ sQ20_spl
| product(e_6,e_1,e_5) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,definition,
( sQ21_spl
<=> product(e_6,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( ~ sQ21_spl
| product(e_6,e_1,e_3) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,definition,
( sQ22_spl
<=> product(e_6,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ22_spl
| product(e_6,e_1,e_4) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,definition,
( sQ23_spl
<=> product(e_6,e_1,e_6) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ23_spl
| product(e_6,e_1,e_6) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl
| sQ19_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f184,f204,f207,f210,f213,f216,f219]) ).
fof(f223,plain,
( product(e_2,e_1,e_6)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_5)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f87,f163]) ).
fof(f224,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_1)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_6)
| product(e_2,e_6,e_5) ),
inference(resolution,[status(thm)],[f87,f141]) ).
fof(f225,plain,
! [X0] :
( product(X0,e_2,e_3)
| product(X0,e_2,e_5)
| ~ group_element(X0)
| product(X0,e_2,e_1)
| product(X0,e_2,e_6)
| product(X0,e_2,e_2)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f87,f122]) ).
fof(f226,definition,
( sQ24_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f227,plain,
( ~ sQ24_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f229,definition,
( sQ25_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f230,plain,
( ~ sQ25_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f229]) ).
fof(f232,definition,
( sQ26_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ26_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,definition,
( sQ27_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ27_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ28_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ28_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
( sQ29_spl
<=> product(e_2,e_1,e_6) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ29_spl
| product(e_2,e_1,e_6) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f223,f226,f229,f232,f235,f238,f241]) ).
fof(f245,definition,
( sQ30_spl
<=> product(e_2,e_6,e_5) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ30_spl
| product(e_2,e_6,e_5) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,definition,
( sQ31_spl
<=> product(e_2,e_6,e_6) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ31_spl
| product(e_2,e_6,e_6) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,definition,
( sQ32_spl
<=> product(e_2,e_6,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( ~ sQ32_spl
| product(e_2,e_6,e_3) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,definition,
( sQ33_spl
<=> product(e_2,e_6,e_1) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ33_spl
| product(e_2,e_6,e_1) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,definition,
( sQ34_spl
<=> product(e_2,e_6,e_4) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ34_spl
| product(e_2,e_6,e_4) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
( sQ35_spl
<=> product(e_2,e_6,e_2) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ35_spl
| product(e_2,e_6,e_2) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f224,f245,f248,f251,f254,f257,f260]) ).
fof(f264,plain,
( product(e_4,e_1,e_6)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_5)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f89,f163]) ).
fof(f265,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_1)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_6)
| product(e_4,e_6,e_5) ),
inference(resolution,[status(thm)],[f89,f141]) ).
fof(f266,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_4,e_3)
| product(X0,e_4,e_2)
| product(X0,e_4,e_6)
| product(X0,e_4,e_1)
| product(X0,e_4,e_4)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f89,f122]) ).
fof(f267,definition,
( sQ36_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( ~ sQ36_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,definition,
( sQ37_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ37_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,definition,
( sQ38_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ38_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ39_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ39_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,definition,
( sQ40_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ40_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ41_spl
<=> product(e_4,e_1,e_6) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ41_spl
| product(e_4,e_1,e_6) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,plain,
( sQ41_spl
| sQ40_spl
| sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f264,f267,f270,f273,f276,f279,f282]) ).
fof(f286,definition,
( sQ42_spl
<=> product(e_4,e_6,e_5) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f287,plain,
( ~ sQ42_spl
| product(e_4,e_6,e_5) ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,definition,
( sQ43_spl
<=> product(e_4,e_6,e_6) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f290,plain,
( ~ sQ43_spl
| product(e_4,e_6,e_6) ),
inference(component_clause,[status(thm)],[f289]) ).
fof(f292,definition,
( sQ44_spl
<=> product(e_4,e_6,e_3) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ44_spl
| product(e_4,e_6,e_3) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,definition,
( sQ45_spl
<=> product(e_4,e_6,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ45_spl
| product(e_4,e_6,e_1) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,definition,
( sQ46_spl
<=> product(e_4,e_6,e_4) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ46_spl
| product(e_4,e_6,e_4) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,definition,
( sQ47_spl
<=> product(e_4,e_6,e_2) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ47_spl
| product(e_4,e_6,e_2) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl
| sQ43_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f265,f286,f289,f292,f295,f298,f301]) ).
fof(f305,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_5)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_6)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f225,f89]) ).
fof(f306,plain,
( product(e_2,e_2,e_3)
| product(e_2,e_2,e_5)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_6)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f225,f87]) ).
fof(f307,plain,
( product(e_1,e_2,e_3)
| product(e_1,e_2,e_5)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_6)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f225,f86]) ).
fof(f308,plain,
( product(e_6,e_2,e_3)
| product(e_6,e_2,e_5)
| product(e_6,e_2,e_1)
| product(e_6,e_2,e_6)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[f225,f91]) ).
fof(f309,definition,
( sQ48_spl
<=> product(e_6,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f310,plain,
( ~ sQ48_spl
| product(e_6,e_2,e_4) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,definition,
( sQ49_spl
<=> product(e_6,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f313,plain,
( ~ sQ49_spl
| product(e_6,e_2,e_2) ),
inference(component_clause,[status(thm)],[f312]) ).
fof(f315,definition,
( sQ50_spl
<=> product(e_6,e_2,e_6) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f316,plain,
( ~ sQ50_spl
| product(e_6,e_2,e_6) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,definition,
( sQ51_spl
<=> product(e_6,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ51_spl
| product(e_6,e_2,e_1) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,definition,
( sQ52_spl
<=> product(e_6,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ52_spl
| product(e_6,e_2,e_5) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,definition,
( sQ53_spl
<=> product(e_6,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ53_spl
| product(e_6,e_2,e_3) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,plain,
( sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f308,f309,f312,f315,f318,f321,f324]) ).
fof(f328,definition,
( sQ54_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( ~ sQ54_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,definition,
( sQ55_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( ~ sQ55_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,definition,
( sQ56_spl
<=> product(e_1,e_2,e_6) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( ~ sQ56_spl
| product(e_1,e_2,e_6) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,definition,
( sQ57_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( ~ sQ57_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,definition,
( sQ58_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( ~ sQ58_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,definition,
( sQ59_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f344,plain,
( ~ sQ59_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f307,f328,f331,f334,f337,f340,f343]) ).
fof(f347,definition,
( sQ60_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( ~ sQ60_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,definition,
( sQ61_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f351,plain,
( ~ sQ61_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,definition,
( sQ62_spl
<=> product(e_4,e_2,e_6) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f354,plain,
( ~ sQ62_spl
| product(e_4,e_2,e_6) ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,definition,
( sQ63_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( ~ sQ63_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,definition,
( sQ64_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f360,plain,
( ~ sQ64_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ65_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f363,plain,
( ~ sQ65_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( sQ65_spl
| sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f305,f347,f350,f353,f356,f359,f362]) ).
fof(f366,definition,
( sQ66_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ66_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
( sQ67_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f372,definition,
( sQ68_spl
<=> product(e_2,e_2,e_6) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f373,plain,
( ~ sQ68_spl
| product(e_2,e_2,e_6) ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,definition,
( sQ69_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( ~ sQ69_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,definition,
( sQ70_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( ~ sQ70_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,definition,
( sQ71_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f382,plain,
( ~ sQ71_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f306,f366,f369,f372,f375,f378,f381]) ).
fof(f385,plain,
( product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_6)
| product(e_4,e_4,e_1)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f266,f89]) ).
fof(f386,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_6)
| product(e_2,e_4,e_1)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f266,f87]) ).
fof(f387,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_6)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f266,f86]) ).
fof(f388,plain,
( product(e_6,e_4,e_3)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_6)
| product(e_6,e_4,e_1)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_5) ),
inference(resolution,[status(thm)],[f266,f91]) ).
fof(f389,definition,
( sQ72_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ72_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,definition,
( sQ73_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ73_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ74_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ74_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ75_spl
<=> product(e_1,e_4,e_6) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ75_spl
| product(e_1,e_4,e_6) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ76_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ76_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,definition,
( sQ77_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ77_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( sQ77_spl
| sQ76_spl
| sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f387,f389,f392,f395,f398,f401,f404]) ).
fof(f408,definition,
( sQ78_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ78_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ79_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f414,definition,
( sQ80_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ80_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,definition,
( sQ81_spl
<=> product(e_4,e_4,e_6) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( ~ sQ81_spl
| product(e_4,e_4,e_6) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,definition,
( sQ82_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f421,plain,
( ~ sQ82_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,definition,
( sQ83_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( ~ sQ83_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,plain,
( sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl
| sQ79_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f385,f408,f411,f414,f417,f420,f423]) ).
fof(f427,definition,
( sQ84_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ84_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ85_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ85_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,definition,
( sQ86_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ86_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,definition,
( sQ87_spl
<=> product(e_2,e_4,e_6) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ87_spl
| product(e_2,e_4,e_6) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,definition,
( sQ88_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ88_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,definition,
( sQ89_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( ~ sQ89_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f386,f427,f430,f433,f436,f439,f442]) ).
fof(f446,definition,
( sQ90_spl
<=> product(e_6,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ90_spl
| product(e_6,e_4,e_5) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,definition,
( sQ91_spl
<=> product(e_6,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ91_spl
| product(e_6,e_4,e_4) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ92_spl
<=> product(e_6,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ92_spl
| product(e_6,e_4,e_1) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,definition,
( sQ93_spl
<=> product(e_6,e_4,e_6) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ93_spl
| product(e_6,e_4,e_6) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,definition,
( sQ94_spl
<=> product(e_6,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ94_spl
| product(e_6,e_4,e_2) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f460,plain,
( sQ94_spl
| ~ product(e_6,e_4,e_2) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ95_spl
<=> product(e_6,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ95_spl
| product(e_6,e_4,e_3) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( sQ95_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f388,f446,f449,f452,f455,f458,f461]) ).
fof(f465,plain,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_6)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f90,f266]) ).
fof(f466,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_5)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_6)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f90,f225]) ).
fof(f467,plain,
( product(e_5,e_1,e_6)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_5)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f90,f163]) ).
fof(f469,plain,
! [X0] :
( product(X0,e_5,e_5)
| ~ group_element(X0)
| product(X0,e_5,e_2)
| product(X0,e_5,e_1)
| product(X0,e_5,e_6)
| product(X0,e_5,e_4)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f90,f122]) ).
fof(f470,definition,
( sQ96_spl
<=> product(e_5,e_6,e_5) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ96_spl
| product(e_5,e_6,e_5) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,definition,
( sQ97_spl
<=> product(e_5,e_6,e_6) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ97_spl
| product(e_5,e_6,e_6) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,definition,
( sQ98_spl
<=> product(e_5,e_6,e_3) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ98_spl
| product(e_5,e_6,e_3) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,definition,
( sQ99_spl
<=> product(e_5,e_6,e_1) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ99_spl
| product(e_5,e_6,e_1) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,definition,
( sQ100_spl
<=> product(e_5,e_6,e_4) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ100_spl
| product(e_5,e_6,e_4) ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,definition,
( sQ101_spl
<=> product(e_5,e_6,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ101_spl
| product(e_5,e_6,e_2) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f489,definition,
( sQ102_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f490,plain,
( ~ sQ102_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,definition,
( sQ103_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ103_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,definition,
( sQ104_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f496,plain,
( ~ sQ104_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f498,definition,
( sQ105_spl
<=> product(e_5,e_4,e_6) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( ~ sQ105_spl
| product(e_5,e_4,e_6) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,definition,
( sQ106_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( ~ sQ106_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,definition,
( sQ107_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( ~ sQ107_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,plain,
( sQ107_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl
| sQ103_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f465,f489,f492,f495,f498,f501,f504]) ).
fof(f508,definition,
( sQ108_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ108_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,definition,
( sQ109_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( ~ sQ109_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,definition,
( sQ110_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( ~ sQ110_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,definition,
( sQ111_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f518,plain,
( ~ sQ111_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f520,definition,
( sQ112_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( ~ sQ112_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,definition,
( sQ113_spl
<=> product(e_5,e_1,e_6) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ113_spl
| product(e_5,e_1,e_6) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl
| sQ109_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f467,f508,f511,f514,f517,f520,f523]) ).
fof(f527,definition,
( sQ114_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( ~ sQ114_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,definition,
( sQ115_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( ~ sQ115_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,definition,
( sQ116_spl
<=> product(e_5,e_2,e_6) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f534,plain,
( ~ sQ116_spl
| product(e_5,e_2,e_6) ),
inference(component_clause,[status(thm)],[f533]) ).
fof(f536,definition,
( sQ117_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ117_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,definition,
( sQ118_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f540,plain,
( ~ sQ118_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,definition,
( sQ119_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f543,plain,
( ~ sQ119_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f466,f527,f530,f533,f536,f539,f542]) ).
fof(f546,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1)
| product(e_5,e_5,e_6)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f469,f90]) ).
fof(f547,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1)
| product(e_4,e_5,e_6)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f469,f89]) ).
fof(f548,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1)
| product(e_2,e_5,e_6)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f469,f87]) ).
fof(f549,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1)
| product(e_1,e_5,e_6)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f469,f86]) ).
fof(f550,plain,
( product(e_6,e_5,e_5)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_1)
| product(e_6,e_5,e_6)
| product(e_6,e_5,e_4)
| product(e_6,e_5,e_3) ),
inference(resolution,[status(thm)],[f469,f91]) ).
fof(f551,definition,
( sQ120_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f552,plain,
( ~ sQ120_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,definition,
( sQ121_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f555,plain,
( ~ sQ121_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f557,definition,
( sQ122_spl
<=> product(e_4,e_5,e_6) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f558,plain,
( ~ sQ122_spl
| product(e_4,e_5,e_6) ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f560,definition,
( sQ123_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f561,plain,
( ~ sQ123_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,definition,
( sQ124_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f564,plain,
( ~ sQ124_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f566,definition,
( sQ125_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( ~ sQ125_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( sQ125_spl
| sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f547,f551,f554,f557,f560,f563,f566]) ).
fof(f570,definition,
( sQ126_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f571,plain,
( ~ sQ126_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f570]) ).
fof(f573,definition,
( sQ127_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f574,plain,
( ~ sQ127_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,definition,
( sQ128_spl
<=> product(e_2,e_5,e_6) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f577,plain,
( ~ sQ128_spl
| product(e_2,e_5,e_6) ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,definition,
( sQ129_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f580,plain,
( ~ sQ129_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,definition,
( sQ130_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f583,plain,
( ~ sQ130_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,definition,
( sQ131_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( ~ sQ131_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,plain,
( sQ131_spl
| sQ130_spl
| sQ129_spl
| sQ128_spl
| sQ127_spl
| sQ126_spl ),
inference(split_clause,[status(thm)],[f548,f570,f573,f576,f579,f582,f585]) ).
fof(f589,definition,
( sQ132_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f590,plain,
( ~ sQ132_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,definition,
( sQ133_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f593,plain,
( ~ sQ133_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f592]) ).
fof(f595,definition,
( sQ134_spl
<=> product(e_5,e_5,e_6) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f596,plain,
( ~ sQ134_spl
| product(e_5,e_5,e_6) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,definition,
( sQ135_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f599,plain,
( ~ sQ135_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f598]) ).
fof(f601,definition,
( sQ136_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f602,plain,
( ~ sQ136_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f604,definition,
( sQ137_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( sQ137_spl
| sQ136_spl
| sQ135_spl
| sQ134_spl
| sQ133_spl
| sQ132_spl ),
inference(split_clause,[status(thm)],[f546,f589,f592,f595,f598,f601,f604]) ).
fof(f608,definition,
( sQ138_spl
<=> product(e_6,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f609,plain,
( ~ sQ138_spl
| product(e_6,e_5,e_3) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,definition,
( sQ139_spl
<=> product(e_6,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ139_spl
| product(e_6,e_5,e_4) ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,definition,
( sQ140_spl
<=> product(e_6,e_5,e_6) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f615,plain,
( ~ sQ140_spl
| product(e_6,e_5,e_6) ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,definition,
( sQ141_spl
<=> product(e_6,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f618,plain,
( ~ sQ141_spl
| product(e_6,e_5,e_1) ),
inference(component_clause,[status(thm)],[f617]) ).
fof(f620,definition,
( sQ142_spl
<=> product(e_6,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f621,plain,
( ~ sQ142_spl
| product(e_6,e_5,e_2) ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,definition,
( sQ143_spl
<=> product(e_6,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f624,plain,
( ~ sQ143_spl
| product(e_6,e_5,e_5) ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( sQ143_spl
| sQ142_spl
| sQ141_spl
| sQ140_spl
| sQ139_spl
| sQ138_spl ),
inference(split_clause,[status(thm)],[f550,f608,f611,f614,f617,f620,f623]) ).
fof(f627,definition,
( sQ144_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( ~ sQ144_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f627]) ).
fof(f630,definition,
( sQ145_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( ~ sQ145_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f630]) ).
fof(f633,definition,
( sQ146_spl
<=> product(e_1,e_5,e_6) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( ~ sQ146_spl
| product(e_1,e_5,e_6) ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f636,definition,
( sQ147_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f637,plain,
( ~ sQ147_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,definition,
( sQ148_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f640,plain,
( ~ sQ148_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f642,definition,
( sQ149_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( ~ sQ149_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( sQ149_spl
| sQ148_spl
| sQ147_spl
| sQ146_spl
| sQ145_spl
| sQ144_spl ),
inference(split_clause,[status(thm)],[f549,f627,f630,f633,f636,f639,f642]) ).
fof(f646,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1)
| product(e_3,e_5,e_6)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f88,f469]) ).
fof(f647,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_6)
| product(e_3,e_4,e_1)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f88,f266]) ).
fof(f648,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_5)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_6)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f88,f225]) ).
fof(f649,plain,
( product(e_3,e_1,e_6)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_5)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f88,f163]) ).
fof(f650,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_1)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_6)
| product(e_3,e_6,e_5) ),
inference(resolution,[status(thm)],[f88,f141]) ).
fof(f651,plain,
! [X0] :
( product(X0,e_3,e_2)
| ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_6)
| product(X0,e_3,e_3)
| product(X0,e_3,e_5)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f88,f122]) ).
fof(f652,definition,
( sQ150_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( ~ sQ150_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f655,definition,
( sQ151_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f656,plain,
( ~ sQ151_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,definition,
( sQ152_spl
<=> product(e_3,e_5,e_6) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f659,plain,
( ~ sQ152_spl
| product(e_3,e_5,e_6) ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,definition,
( sQ153_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f662,plain,
( ~ sQ153_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,definition,
( sQ154_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f665,plain,
( ~ sQ154_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,definition,
( sQ155_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( ~ sQ155_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,plain,
( sQ155_spl
| sQ154_spl
| sQ153_spl
| sQ152_spl
| sQ151_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f646,f652,f655,f658,f661,f664,f667]) ).
fof(f671,definition,
( sQ156_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( ~ sQ156_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,definition,
( sQ157_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f675,plain,
( ~ sQ157_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,definition,
( sQ158_spl
<=> product(e_3,e_2,e_6) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( ~ sQ158_spl
| product(e_3,e_2,e_6) ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,definition,
( sQ159_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f681,plain,
( ~ sQ159_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,definition,
( sQ160_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f684,plain,
( ~ sQ160_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,definition,
( sQ161_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f687,plain,
( ~ sQ161_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,plain,
( sQ161_spl
| sQ160_spl
| sQ159_spl
| sQ158_spl
| sQ157_spl
| sQ156_spl ),
inference(split_clause,[status(thm)],[f648,f671,f674,f677,f680,f683,f686]) ).
fof(f690,definition,
( sQ162_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f691,plain,
( ~ sQ162_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,definition,
( sQ163_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( ~ sQ163_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f696,definition,
( sQ164_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f697,plain,
( ~ sQ164_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f696]) ).
fof(f699,definition,
( sQ165_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f700,plain,
( ~ sQ165_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f702,definition,
( sQ166_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f703,plain,
( ~ sQ166_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f704,plain,
( sQ166_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f702]) ).
fof(f705,definition,
( sQ167_spl
<=> product(e_3,e_1,e_6) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f706,plain,
( ~ sQ167_spl
| product(e_3,e_1,e_6) ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f708,plain,
( sQ167_spl
| sQ166_spl
| sQ165_spl
| sQ164_spl
| sQ163_spl
| sQ162_spl ),
inference(split_clause,[status(thm)],[f649,f690,f693,f696,f699,f702,f705]) ).
fof(f709,definition,
( sQ168_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( ~ sQ168_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f709]) ).
fof(f712,definition,
( sQ169_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( ~ sQ169_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,definition,
( sQ170_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f716,plain,
( ~ sQ170_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,definition,
( sQ171_spl
<=> product(e_3,e_4,e_6) ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( ~ sQ171_spl
| product(e_3,e_4,e_6) ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,definition,
( sQ172_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f722,plain,
( ~ sQ172_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,definition,
( sQ173_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f725,plain,
( ~ sQ173_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f727,plain,
( sQ173_spl
| sQ172_spl
| sQ171_spl
| sQ170_spl
| sQ169_spl
| sQ168_spl ),
inference(split_clause,[status(thm)],[f647,f709,f712,f715,f718,f721,f724]) ).
fof(f728,definition,
( sQ174_spl
<=> product(e_3,e_6,e_5) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f729,plain,
( ~ sQ174_spl
| product(e_3,e_6,e_5) ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,definition,
( sQ175_spl
<=> product(e_3,e_6,e_6) ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f732,plain,
( ~ sQ175_spl
| product(e_3,e_6,e_6) ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,definition,
( sQ176_spl
<=> product(e_3,e_6,e_3) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( ~ sQ176_spl
| product(e_3,e_6,e_3) ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,definition,
( sQ177_spl
<=> product(e_3,e_6,e_1) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( ~ sQ177_spl
| product(e_3,e_6,e_1) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,definition,
( sQ178_spl
<=> product(e_3,e_6,e_4) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f741,plain,
( ~ sQ178_spl
| product(e_3,e_6,e_4) ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,definition,
( sQ179_spl
<=> product(e_3,e_6,e_2) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f744,plain,
( ~ sQ179_spl
| product(e_3,e_6,e_2) ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,plain,
( sQ179_spl
| sQ178_spl
| sQ177_spl
| sQ176_spl
| sQ175_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f650,f728,f731,f734,f737,f740,f743]) ).
fof(f748,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_6)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_5)
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f651,f90]) ).
fof(f749,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_6)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_5)
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f651,f89]) ).
fof(f750,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_6)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_5)
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f651,f87]) ).
fof(f751,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_6)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_5)
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f651,f86]) ).
fof(f752,plain,
( product(e_6,e_3,e_2)
| product(e_6,e_3,e_1)
| product(e_6,e_3,e_6)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_5)
| product(e_6,e_3,e_4) ),
inference(resolution,[status(thm)],[f651,f91]) ).
fof(f753,definition,
( sQ180_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( ~ sQ180_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,definition,
( sQ181_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f757,plain,
( ~ sQ181_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f759,definition,
( sQ182_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f760,plain,
( ~ sQ182_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,definition,
( sQ183_spl
<=> product(e_5,e_3,e_6) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f763,plain,
( ~ sQ183_spl
| product(e_5,e_3,e_6) ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,definition,
( sQ184_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( ~ sQ184_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,definition,
( sQ185_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f769,plain,
( ~ sQ185_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( sQ185_spl
| sQ184_spl
| sQ183_spl
| sQ182_spl
| sQ181_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f748,f753,f756,f759,f762,f765,f768]) ).
fof(f772,definition,
( sQ186_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f773,plain,
( ~ sQ186_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f781,definition,
( sQ189_spl
<=> product(e_3,e_3,e_6) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f782,plain,
( ~ sQ189_spl
| product(e_3,e_3,e_6) ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,definition,
( sQ190_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f785,plain,
( ~ sQ190_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f787,definition,
( sQ191_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f788,plain,
( ~ sQ191_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f791,definition,
( sQ192_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f792,plain,
( ~ sQ192_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,definition,
( sQ193_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f795,plain,
( ~ sQ193_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,definition,
( sQ194_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f798,plain,
( ~ sQ194_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f800,definition,
( sQ195_spl
<=> product(e_2,e_3,e_6) ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f801,plain,
( ~ sQ195_spl
| product(e_2,e_3,e_6) ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f803,definition,
( sQ196_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f804,plain,
( ~ sQ196_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,definition,
( sQ197_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f807,plain,
( ~ sQ197_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( sQ197_spl
| sQ196_spl
| sQ195_spl
| sQ194_spl
| sQ193_spl
| sQ192_spl ),
inference(split_clause,[status(thm)],[f750,f791,f794,f797,f800,f803,f806]) ).
fof(f810,definition,
( sQ198_spl
<=> product(e_6,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( ~ sQ198_spl
| product(e_6,e_3,e_4) ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f813,definition,
( sQ199_spl
<=> product(e_6,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f814,plain,
( ~ sQ199_spl
| product(e_6,e_3,e_5) ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,definition,
( sQ200_spl
<=> product(e_6,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ200_spl])],[split_symbol_definition]) ).
fof(f817,plain,
( ~ sQ200_spl
| product(e_6,e_3,e_3) ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,definition,
( sQ201_spl
<=> product(e_6,e_3,e_6) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f820,plain,
( ~ sQ201_spl
| product(e_6,e_3,e_6) ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,definition,
( sQ202_spl
<=> product(e_6,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( ~ sQ202_spl
| product(e_6,e_3,e_1) ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,definition,
( sQ203_spl
<=> product(e_6,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f826,plain,
( ~ sQ203_spl
| product(e_6,e_3,e_2) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,plain,
( sQ203_spl
| sQ202_spl
| sQ201_spl
| sQ200_spl
| sQ199_spl
| sQ198_spl ),
inference(split_clause,[status(thm)],[f752,f810,f813,f816,f819,f822,f825]) ).
fof(f829,definition,
( sQ204_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( ~ sQ204_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,definition,
( sQ205_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( ~ sQ205_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f832]) ).
fof(f835,definition,
( sQ206_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f836,plain,
( ~ sQ206_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,definition,
( sQ207_spl
<=> product(e_1,e_3,e_6) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( ~ sQ207_spl
| product(e_1,e_3,e_6) ),
inference(component_clause,[status(thm)],[f838]) ).
fof(f841,definition,
( sQ208_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( ~ sQ208_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f841]) ).
fof(f844,definition,
( sQ209_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f845,plain,
( ~ sQ209_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,plain,
( sQ209_spl
| sQ208_spl
| sQ207_spl
| sQ206_spl
| sQ205_spl
| sQ204_spl ),
inference(split_clause,[status(thm)],[f751,f829,f832,f835,f838,f841,f844]) ).
fof(f848,definition,
( sQ210_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( ~ sQ210_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,definition,
( sQ211_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f852,plain,
( ~ sQ211_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,definition,
( sQ212_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f855,plain,
( ~ sQ212_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,definition,
( sQ213_spl
<=> product(e_4,e_3,e_6) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f858,plain,
( ~ sQ213_spl
| product(e_4,e_3,e_6) ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,definition,
( sQ214_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f861,plain,
( ~ sQ214_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f863,definition,
( sQ215_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f864,plain,
( ~ sQ215_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f863]) ).
fof(f866,plain,
( sQ215_spl
| sQ214_spl
| sQ213_spl
| sQ212_spl
| sQ211_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f749,f848,f851,f854,f857,f860,f863]) ).
fof(f869,plain,
( ~ sQ5_spl
| equalish(e_2,e_6) ),
inference(resolution,[status(thm)],[f159,f134]) ).
fof(f873,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f869,f101]) ).
fof(f874,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f873]) ).
fof(f878,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(e_5,e_1,X0)
| product(X0,e_1,e_6) ),
inference(resolution,[status(thm)],[f165,f131]) ).
fof(f883,plain,
( ~ sQ7_spl
| equalish(e_1,e_6) ),
inference(resolution,[status(thm)],[f168,f138]) ).
fof(f893,plain,
! [X0] :
( ~ sQ11_spl
| product(X0,e_1,e_6)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f180,f131]) ).
fof(f898,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_1)
| ~ product(X0,e_6,e_4) ),
inference(resolution,[status(thm)],[f177,f128]) ).
fof(f899,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_6)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f177,f126]) ).
fof(f901,plain,
! [X0] :
( ~ sQ10_spl
| ~ product(e_4,e_1,X0)
| product(X0,e_1,e_6) ),
inference(resolution,[status(thm)],[f177,f131]) ).
fof(f905,plain,
( ~ sQ9_spl
| equalish(e_6,e_1) ),
inference(resolution,[status(thm)],[f174,f136]) ).
fof(f909,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f905,f117]) ).
fof(f910,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f909]) ).
fof(f912,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(e_1,X0,e_3)
| equalish(X0,e_6) ),
inference(resolution,[status(thm)],[f171,f126]) ).
fof(f914,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(e_3,e_1,X0)
| product(X0,e_1,e_6) ),
inference(resolution,[status(thm)],[f171,f131]) ).
fof(f916,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(X0,e_1,e_5)
| equalish(X0,e_6) ),
inference(resolution,[status(thm)],[f211,f128]) ).
fof(f917,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_6,X0,e_5) ),
inference(resolution,[status(thm)],[f211,f126]) ).
fof(f930,plain,
( ~ sQ15_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f195,f134]) ).
fof(f939,plain,
( ~ sQ16_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f198,f134]) ).
fof(f943,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f939,f107]) ).
fof(f944,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f943]) ).
fof(f952,plain,
( ~ sQ17_spl
| equalish(e_6,e_1) ),
inference(resolution,[status(thm)],[f201,f134]) ).
fof(f956,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f952,f117]) ).
fof(f957,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f956]) ).
fof(f960,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_6)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f214,f128]) ).
fof(f969,plain,
( ~ sQ12_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f186,f134]) ).
fof(f973,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f969,f97]) ).
fof(f974,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f973]) ).
fof(f977,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(X0,e_1,e_2)
| equalish(X0,e_6) ),
inference(resolution,[status(thm)],[f205,f128]) ).
fof(f978,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_1)
| ~ product(e_6,X0,e_2) ),
inference(resolution,[status(thm)],[f205,f126]) ).
fof(f980,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(e_2,e_6,X0)
| product(X0,e_6,e_1) ),
inference(resolution,[status(thm)],[f205,f131]) ).
fof(f989,plain,
( ~ sQ19_spl
| equalish(e_6,e_1) ),
inference(resolution,[status(thm)],[f208,f138]) ).
fof(f994,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f989,f117]) ).
fof(f995,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f994]) ).
fof(f997,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(X0,e_1,e_4)
| equalish(X0,e_6) ),
inference(resolution,[status(thm)],[f217,f128]) ).
fof(f998,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(e_6,X0,e_4)
| equalish(X0,e_1) ),
inference(resolution,[status(thm)],[f217,f126]) ).
fof(f1010,plain,
( ~ sQ14_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f192,f134]) ).
fof(f1014,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1010,f112]) ).
fof(f1015,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f1014]) ).
fof(f1019,plain,
( ~ sQ23_spl
| equalish(e_1,e_6) ),
inference(resolution,[status(thm)],[f220,f136]) ).
fof(f1028,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1019,f96]) ).
fof(f1029,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f1028]) ).
fof(f1033,plain,
( ~ sQ35_spl
| equalish(e_6,e_2) ),
inference(resolution,[status(thm)],[f261,f136]) ).
fof(f1037,plain,
( ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1033,f118]) ).
fof(f1038,plain,
~ sQ35_spl,
inference(contradiction_clause,[status(thm)],[f1037]) ).
fof(f1039,plain,
( ~ sQ18_spl
| ~ sQ30_spl
| product(e_5,e_6,e_1) ),
inference(resolution,[status(thm)],[f246,f980]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_2)
| ~ product(X0,e_6,e_5) ),
inference(resolution,[status(thm)],[f246,f128]) ).
fof(f1041,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_6)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f246,f126]) ).
fof(f1043,plain,
! [X0] :
( ~ sQ30_spl
| product(X0,e_2,e_6)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f246,f131]) ).
fof(f1055,plain,
! [X0] :
( ~ sQ26_spl
| ~ greater(e_5,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f233,f85]) ).
fof(f1064,plain,
( ~ sQ31_spl
| equalish(e_2,e_6) ),
inference(resolution,[status(thm)],[f249,f138]) ).
fof(f1071,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1064,f101]) ).
fof(f1072,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f1071]) ).
fof(f1075,plain,
( ~ sQ25_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f230,f138]) ).
fof(f1080,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1075,f97]) ).
fof(f1081,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f1080]) ).
fof(f1084,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f236,f128]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_2,X0,e_3)
| equalish(X0,e_1) ),
inference(resolution,[status(thm)],[f236,f126]) ).
fof(f1087,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_3,e_2,X0)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f236,f131]) ).
fof(f1093,plain,
( ~ sQ18_spl
| ~ sQ33_spl
| product(e_1,e_6,e_1) ),
inference(resolution,[status(thm)],[f255,f980]) ).
fof(f1097,plain,
! [X0] :
( ~ sQ33_spl
| product(X0,e_2,e_6)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f255,f131]) ).
fof(f1098,plain,
( ~ sQ18_spl
| ~ sQ33_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f1093,f173,f254,f204]) ).
fof(f1102,plain,
( ~ sQ27_spl
| ~ sQ21_spl
| equalish(e_2,e_6) ),
inference(resolution,[status(thm)],[f960,f236]) ).
fof(f1103,plain,
( ~ sQ27_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1102,f101]) ).
fof(f1104,plain,
( ~ sQ27_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f1103]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_6)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f252,f126]) ).
fof(f1118,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_6)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f258,f126]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ34_spl
| product(X0,e_2,e_6)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f258,f131]) ).
fof(f1122,plain,
! [X0] :
( ~ sQ29_spl
| ~ next(e_2,X0)
| ~ greater(e_6,X0) ),
inference(resolution,[status(thm)],[f242,f85]) ).
fof(f1128,plain,
( ~ sQ29_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f1122,f80]) ).
fof(f1133,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1128,f65]) ).
fof(f1134,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f1133]) ).
fof(f1138,plain,
( ~ sQ24_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f227,f136]) ).
fof(f1142,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1138,f92]) ).
fof(f1143,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f1142]) ).
fof(f1148,plain,
! [X0] :
( ~ sQ28_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f239,f85]) ).
fof(f1158,plain,
( ~ sQ26_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f1055,f79]) ).
fof(f1159,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1158,f65]) ).
fof(f1160,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f1159]) ).
fof(f1164,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_6)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f293,f126]) ).
fof(f1172,plain,
( ~ sQ40_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f280,f136]) ).
fof(f1176,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1172,f94]) ).
fof(f1177,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f1176]) ).
fof(f1181,plain,
( ~ sQ46_spl
| equalish(e_6,e_4) ),
inference(resolution,[status(thm)],[f299,f136]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f268,f128]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f268,f126]) ).
fof(f1194,plain,
! [X0] :
( ~ sQ36_spl
| product(X0,e_4,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f268,f131]) ).
fof(f1198,plain,
( ~ sQ36_spl
| ~ sQ47_spl
| equalish(e_6,e_1) ),
inference(resolution,[status(thm)],[f302,f1192]) ).
fof(f1203,plain,
( ~ sQ36_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1198,f117]) ).
fof(f1204,plain,
( ~ sQ36_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1203]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(e_4,X0,e_1)
| equalish(X0,e_6) ),
inference(resolution,[status(thm)],[f296,f126]) ).
fof(f1208,plain,
! [X0] :
( ~ sQ45_spl
| product(X0,e_4,e_6)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f296,f131]) ).
fof(f1214,plain,
( ~ sQ37_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f271,f138]) ).
fof(f1219,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1214,f107]) ).
fof(f1220,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f1219]) ).
fof(f1221,plain,
( ~ sQ20_spl
| ~ sQ38_spl
| equalish(e_4,e_6) ),
inference(resolution,[status(thm)],[f274,f916]) ).
fof(f1226,plain,
! [X0] :
( ~ sQ38_spl
| product(X0,e_4,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f274,f131]) ).
fof(f1227,plain,
( ~ sQ20_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1221,f111]) ).
fof(f1228,plain,
( ~ sQ20_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f1227]) ).
fof(f1230,plain,
( ~ sQ43_spl
| equalish(e_4,e_6) ),
inference(resolution,[status(thm)],[f290,f138]) ).
fof(f1237,plain,
( ~ sQ27_spl
| ~ sQ39_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f277,f1084]) ).
fof(f1243,plain,
( ~ sQ27_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1237,f108]) ).
fof(f1244,plain,
( ~ sQ27_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1243]) ).
fof(f1245,plain,
( ~ sQ30_spl
| ~ sQ42_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f287,f1040]) ).
fof(f1248,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_4,X0,e_5)
| equalish(X0,e_6) ),
inference(resolution,[status(thm)],[f287,f126]) ).
fof(f1250,plain,
! [X0] :
( ~ sQ42_spl
| product(X0,e_4,e_6)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f287,f131]) ).
fof(f1251,plain,
( ~ sQ30_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1245,f108]) ).
fof(f1252,plain,
( ~ sQ30_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1251]) ).
fof(f1255,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f883,f96]) ).
fof(f1256,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f1255]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ41_spl
| ~ greater(e_6,X0)
| ~ next(e_4,X0) ),
inference(resolution,[status(thm)],[f283,f85]) ).
fof(f1269,plain,
( ~ sQ41_spl
| ~ next(e_4,e_5) ),
inference(resolution,[status(thm)],[f1257,f83]) ).
fof(f1270,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1269,f67]) ).
fof(f1271,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f1270]) ).
fof(f1273,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_6)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f310,f128]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ48_spl
| ~ product(e_6,e_2,X0)
| equalish(X0,e_4) ),
inference(resolution,[status(thm)],[f310,f124]) ).
fof(f1282,plain,
( ~ sQ61_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f351,f138]) ).
fof(f1287,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1282,f108]) ).
fof(f1288,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1287]) ).
fof(f1289,plain,
( ~ sQ34_spl
| ~ sQ64_spl
| product(e_5,e_2,e_6) ),
inference(resolution,[status(thm)],[f360,f1120]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f360,f128]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ64_spl
| product(X0,e_4,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f360,f131]) ).
fof(f1301,plain,
( ~ sQ69_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f376,f134]) ).
fof(f1305,plain,
( ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1301,f92]) ).
fof(f1306,plain,
~ sQ69_spl,
inference(contradiction_clause,[status(thm)],[f1305]) ).
fof(f1315,plain,
( ~ sQ71_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f382,f134]) ).
fof(f1319,plain,
( ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1315,f103]) ).
fof(f1320,plain,
~ sQ71_spl,
inference(contradiction_clause,[status(thm)],[f1319]) ).
fof(f1322,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_6) ),
inference(resolution,[status(thm)],[f335,f128]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_1,X0,e_6)
| equalish(X0,e_2) ),
inference(resolution,[status(thm)],[f335,f126]) ).
fof(f1328,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f344,f128]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ59_spl
| product(X0,e_1,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f344,f131]) ).
fof(f1336,plain,
( ~ sQ59_spl
| ~ sQ53_spl
| equalish(e_6,e_1) ),
inference(resolution,[status(thm)],[f325,f1328]) ).
fof(f1341,plain,
( ~ sQ59_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1336,f117]) ).
fof(f1342,plain,
( ~ sQ59_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1341]) ).
fof(f1343,plain,
( ~ sQ34_spl
| ~ sQ65_spl
| product(e_3,e_2,e_6) ),
inference(resolution,[status(thm)],[f363,f1120]) ).
fof(f1344,plain,
( ~ sQ44_spl
| ~ sQ65_spl
| equalish(e_2,e_6) ),
inference(resolution,[status(thm)],[f363,f1164]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ65_spl
| ~ product(e_3,e_4,X0)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f363,f131]) ).
fof(f1349,plain,
( ~ sQ44_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1344,f101]) ).
fof(f1350,plain,
( ~ sQ44_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1349]) ).
fof(f1352,plain,
( ~ sQ57_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f338,f136]) ).
fof(f1356,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1352,f97]) ).
fof(f1357,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f1356]) ).
fof(f1358,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1230,f111]) ).
fof(f1359,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f1358]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(X0,e_2,e_5)
| equalish(X0,e_1) ),
inference(resolution,[status(thm)],[f341,f128]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f341,f126]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(e_5,e_1,X0)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f341,f131]) ).
fof(f1370,plain,
( ~ sQ60_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f348,f136]) ).
fof(f1374,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1370,f99]) ).
fof(f1375,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1374]) ).
fof(f1377,plain,
( ~ sQ10_spl
| ~ sQ54_spl
| equalish(e_2,e_6) ),
inference(resolution,[status(thm)],[f329,f899]) ).
fof(f1378,plain,
( ~ sQ48_spl
| ~ sQ54_spl
| equalish(e_1,e_6) ),
inference(resolution,[status(thm)],[f329,f1273]) ).
fof(f1382,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(e_4,e_1,X0)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f329,f131]) ).
fof(f1387,plain,
( ~ sQ68_spl
| equalish(e_6,e_2) ),
inference(resolution,[status(thm)],[f373,f134]) ).
fof(f1391,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1387,f118]) ).
fof(f1392,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f1391]) ).
fof(f1393,plain,
( ~ sQ34_spl
| ~ sQ62_spl
| product(e_6,e_2,e_6) ),
inference(resolution,[status(thm)],[f354,f1120]) ).
fof(f1396,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_6)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f354,f124]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_6,e_4,X0)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f354,f131]) ).
fof(f1398,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f319,f1275]) ).
fof(f1399,plain,
! [X0] :
( ~ sQ51_spl
| ~ product(X0,e_2,e_1)
| equalish(X0,e_6) ),
inference(resolution,[status(thm)],[f319,f128]) ).
fof(f1400,plain,
! [X0] :
( ~ sQ51_spl
| ~ product(e_6,X0,e_1)
| equalish(X0,e_2) ),
inference(resolution,[status(thm)],[f319,f126]) ).
fof(f1403,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1398,f94]) ).
fof(f1404,plain,
( ~ sQ48_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1403]) ).
fof(f1408,plain,
( ~ sQ34_spl
| ~ sQ62_spl
| equalish(e_2,e_6) ),
inference(resolution,[status(thm)],[f1393,f136]) ).
fof(f1412,plain,
( ~ sQ34_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1408,f101]) ).
fof(f1413,plain,
( ~ sQ34_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1412]) ).
fof(f1414,plain,
( ~ sQ49_spl
| equalish(e_6,e_2) ),
inference(resolution,[status(thm)],[f313,f138]) ).
fof(f1419,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1414,f118]) ).
fof(f1420,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f1419]) ).
fof(f1421,plain,
( ~ sQ20_spl
| ~ sQ52_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f322,f917]) ).
fof(f1422,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(X0,e_2,e_5)
| equalish(X0,e_6) ),
inference(resolution,[status(thm)],[f322,f128]) ).
fof(f1426,plain,
( ~ sQ20_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1421,f97]) ).
fof(f1427,plain,
( ~ sQ20_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1426]) ).
fof(f1428,plain,
( ~ sQ55_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f332,f138]) ).
fof(f1433,plain,
( ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1428,f92]) ).
fof(f1434,plain,
~ sQ55_spl,
inference(contradiction_clause,[status(thm)],[f1433]) ).
fof(f1437,plain,
( ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1181,f120]) ).
fof(f1438,plain,
~ sQ46_spl,
inference(contradiction_clause,[status(thm)],[f1437]) ).
fof(f1439,plain,
( ~ sQ62_spl
| ~ sQ63_spl
| equalish(e_1,e_6) ),
inference(resolution,[status(thm)],[f357,f1396]) ).
fof(f1440,plain,
( ~ sQ45_spl
| ~ sQ63_spl
| equalish(e_2,e_6) ),
inference(resolution,[status(thm)],[f357,f1206]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(X0,e_2,e_1)
| equalish(X0,e_4) ),
inference(resolution,[status(thm)],[f357,f128]) ).
fof(f1442,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_4,X0,e_1)
| equalish(X0,e_2) ),
inference(resolution,[status(thm)],[f357,f126]) ).
fof(f1444,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_1,e_4,X0)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f357,f131]) ).
fof(f1445,plain,
( ~ sQ45_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1440,f101]) ).
fof(f1446,plain,
( ~ sQ45_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1445]) ).
fof(f1447,plain,
( ~ sQ62_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1439,f96]) ).
fof(f1448,plain,
( ~ sQ62_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1447]) ).
fof(f1452,plain,
( ~ sQ50_spl
| equalish(e_2,e_6) ),
inference(resolution,[status(thm)],[f316,f136]) ).
fof(f1460,plain,
( ~ sQ66_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f367,f134]) ).
fof(f1465,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1460,f108]) ).
fof(f1466,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f1465]) ).
fof(f1470,plain,
( ~ sQ70_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f379,f134]) ).
fof(f1474,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1470,f113]) ).
fof(f1475,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f1474]) ).
fof(f1476,plain,
( ~ sQ62_spl
| ~ sQ92_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f453,f1397]) ).
fof(f1477,plain,
! [X0] :
( ~ sQ92_spl
| ~ product(X0,e_4,e_1)
| equalish(X0,e_6) ),
inference(resolution,[status(thm)],[f453,f128]) ).
fof(f1488,plain,
( ~ sQ62_spl
| ~ sQ90_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f447,f1397]) ).
fof(f1489,plain,
( ~ sQ20_spl
| ~ sQ90_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f447,f917]) ).
fof(f1494,plain,
( ~ sQ20_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1489,f107]) ).
fof(f1495,plain,
( ~ sQ20_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f1494]) ).
fof(f1499,plain,
( ~ sQ36_spl
| ~ sQ84_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f428,f1194]) ).
fof(f1500,plain,
! [X0] :
( ~ sQ84_spl
| ~ product(X0,e_4,e_5)
| equalish(X0,e_2) ),
inference(resolution,[status(thm)],[f428,f128]) ).
fof(f1503,plain,
! [X0] :
( ~ sQ84_spl
| product(X0,e_2,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f428,f131]) ).
fof(f1504,plain,
( ~ sQ92_spl
| ~ sQ36_spl
| ~ sQ84_spl
| equalish(e_5,e_6) ),
inference(resolution,[status(thm)],[f1499,f1477]) ).
fof(f1509,plain,
( ~ sQ92_spl
| ~ sQ36_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1504,f116]) ).
fof(f1510,plain,
( ~ sQ92_spl
| ~ sQ36_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f1509]) ).
fof(f1512,plain,
( ~ sQ85_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f431,f138]) ).
fof(f1517,plain,
( ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1512,f99]) ).
fof(f1518,plain,
~ sQ85_spl,
inference(contradiction_clause,[status(thm)],[f1517]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f405,f128]) ).
fof(f1522,plain,
! [X0] :
( ~ sQ77_spl
| product(X0,e_1,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f405,f131]) ).
fof(f1526,plain,
( ~ sQ36_spl
| ~ sQ87_spl
| product(e_6,e_4,e_1) ),
inference(resolution,[status(thm)],[f437,f1194]) ).
fof(f1527,plain,
! [X0] :
( ~ sQ87_spl
| ~ product(X0,e_4,e_6)
| equalish(X0,e_2) ),
inference(resolution,[status(thm)],[f437,f128]) ).
fof(f1528,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_6) ),
inference(resolution,[status(thm)],[f437,f126]) ).
fof(f1530,plain,
! [X0] :
( ~ sQ87_spl
| product(X0,e_2,e_4)
| ~ product(e_6,e_2,X0) ),
inference(resolution,[status(thm)],[f437,f131]) ).
fof(f1532,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ87_spl
| ~ product(X0,e_4,e_1)
| equalish(X0,e_6) ),
inference(resolution,[status(thm)],[f1526,f128]) ).
fof(f1543,plain,
( ~ sQ62_spl
| ~ sQ94_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f459,f1397]) ).
fof(f1545,plain,
! [X0] :
( ~ sQ94_spl
| ~ product(e_6,X0,e_2)
| equalish(X0,e_4) ),
inference(resolution,[status(thm)],[f459,f126]) ).
fof(f1550,plain,
( ~ sQ62_spl
| ~ sQ94_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1543,f136]) ).
fof(f1554,plain,
( ~ sQ62_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1550,f108]) ).
fof(f1555,plain,
( ~ sQ62_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f1554]) ).
fof(f1564,plain,
( ~ sQ91_spl
| equalish(e_6,e_4) ),
inference(resolution,[status(thm)],[f450,f138]) ).
fof(f1569,plain,
( ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1564,f120]) ).
fof(f1570,plain,
~ sQ91_spl,
inference(contradiction_clause,[status(thm)],[f1569]) ).
fof(f1573,plain,
( ~ sQ80_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f415,f134]) ).
fof(f1577,plain,
( ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1573,f94]) ).
fof(f1578,plain,
~ sQ80_spl,
inference(contradiction_clause,[status(thm)],[f1577]) ).
fof(f1579,plain,
( ~ sQ36_spl
| ~ sQ86_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f434,f1194]) ).
fof(f1580,plain,
! [X0] :
( ~ sQ86_spl
| ~ product(X0,e_4,e_1)
| equalish(X0,e_2) ),
inference(resolution,[status(thm)],[f434,f128]) ).
fof(f1581,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f434,f126]) ).
fof(f1585,plain,
( ~ sQ36_spl
| ~ sQ86_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1579,f136]) ).
fof(f1589,plain,
( ~ sQ36_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1585,f107]) ).
fof(f1590,plain,
( ~ sQ36_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f1589]) ).
fof(f1599,plain,
( ~ sQ88_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f440,f136]) ).
fof(f1603,plain,
( ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1599,f108]) ).
fof(f1604,plain,
~ sQ88_spl,
inference(contradiction_clause,[status(thm)],[f1603]) ).
fof(f1607,plain,
( ~ sQ73_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f393,f138]) ).
fof(f1612,plain,
( ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1607,f94]) ).
fof(f1613,plain,
~ sQ73_spl,
inference(contradiction_clause,[status(thm)],[f1612]) ).
fof(f1617,plain,
( ~ sQ78_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f409,f134]) ).
fof(f1623,plain,
( ~ sQ75_spl
| ~ sQ63_spl
| product(e_6,e_4,e_2) ),
inference(resolution,[status(thm)],[f1444,f399]) ).
fof(f1625,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ63_spl
| ~ product(e_6,X0,e_2)
| equalish(X0,e_4) ),
inference(resolution,[status(thm)],[f1623,f126]) ).
fof(f1633,plain,
( ~ sQ83_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f424,f134]) ).
fof(f1637,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1633,f104]) ).
fof(f1638,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f1637]) ).
fof(f1642,plain,
( ~ sQ74_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f396,f136]) ).
fof(f1649,plain,
( ~ sQ27_spl
| ~ sQ89_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f443,f1085]) ).
fof(f1654,plain,
( ~ sQ27_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1649,f107]) ).
fof(f1655,plain,
( ~ sQ27_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1654]) ).
fof(f1656,plain,
( ~ sQ42_spl
| ~ sQ36_spl
| ~ sQ84_spl
| product(e_1,e_4,e_6) ),
inference(resolution,[status(thm)],[f1499,f1250]) ).
fof(f1661,plain,
( ~ sQ63_spl
| ~ sQ42_spl
| ~ sQ36_spl
| ~ sQ84_spl
| product(e_6,e_4,e_2) ),
inference(resolution,[status(thm)],[f1656,f1444]) ).
fof(f1668,plain,
! [X0] :
( ~ sQ63_spl
| ~ sQ42_spl
| ~ sQ36_spl
| ~ sQ84_spl
| ~ product(e_6,e_4,X0)
| equalish(X0,e_2) ),
inference(resolution,[status(thm)],[f1661,f124]) ).
fof(f1679,plain,
( ~ sQ63_spl
| ~ sQ42_spl
| ~ sQ36_spl
| ~ sQ84_spl
| ~ sQ95_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f462,f1668]) ).
fof(f1680,plain,
! [X0] :
( ~ sQ95_spl
| equalish(X0,e_6)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f462,f128]) ).
fof(f1684,plain,
( ~ sQ63_spl
| ~ sQ42_spl
| ~ sQ36_spl
| ~ sQ84_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1679,f103]) ).
fof(f1685,plain,
( ~ sQ63_spl
| ~ sQ42_spl
| ~ sQ36_spl
| ~ sQ84_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f1684]) ).
fof(f1687,plain,
( ~ sQ63_spl
| ~ sQ72_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f390,f1444]) ).
fof(f1688,plain,
( ~ sQ58_spl
| ~ sQ72_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f390,f1361]) ).
fof(f1689,plain,
( ~ sQ84_spl
| ~ sQ72_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f390,f1500]) ).
fof(f1690,plain,
! [X0] :
( ~ sQ72_spl
| ~ product(X0,e_4,e_5)
| equalish(X0,e_1) ),
inference(resolution,[status(thm)],[f390,f128]) ).
fof(f1691,plain,
! [X0] :
( ~ sQ72_spl
| ~ product(e_1,X0,e_5)
| equalish(X0,e_4) ),
inference(resolution,[status(thm)],[f390,f126]) ).
fof(f1694,plain,
( ~ sQ84_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1689,f92]) ).
fof(f1695,plain,
( ~ sQ84_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f1694]) ).
fof(f1699,plain,
( ~ sQ93_spl
| equalish(e_4,e_6) ),
inference(resolution,[status(thm)],[f456,f136]) ).
fof(f1706,plain,
( ~ sQ63_spl
| ~ sQ76_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f402,f1444]) ).
fof(f1711,plain,
! [X0] :
( ~ sQ76_spl
| product(X0,e_1,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f402,f131]) ).
fof(f1714,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1699,f111]) ).
fof(f1715,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f1714]) ).
fof(f1716,plain,
( ~ sQ63_spl
| ~ sQ76_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1706,f439,f401,f356]) ).
fof(f1717,plain,
( ~ sQ36_spl
| ~ sQ87_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1526,f452,f436,f267]) ).
fof(f1728,plain,
( ~ sQ81_spl
| equalish(e_6,e_4) ),
inference(resolution,[status(thm)],[f418,f134]) ).
fof(f1732,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1728,f120]) ).
fof(f1733,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f1732]) ).
fof(f1738,plain,
( ~ sQ82_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f421,f134]) ).
fof(f1742,plain,
( ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1738,f99]) ).
fof(f1743,plain,
~ sQ82_spl,
inference(contradiction_clause,[status(thm)],[f1742]) ).
fof(f1749,plain,
! [X0] :
( ~ sQ98_spl
| product(X0,e_5,e_6)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f477,f131]) ).
fof(f1752,plain,
( ~ sQ30_spl
| ~ sQ119_spl
| product(e_3,e_2,e_6) ),
inference(resolution,[status(thm)],[f543,f1043]) ).
fof(f1753,plain,
( ~ sQ84_spl
| ~ sQ119_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f543,f1503]) ).
fof(f1755,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f543,f126]) ).
fof(f1758,plain,
( ~ sQ27_spl
| ~ sQ30_spl
| ~ sQ119_spl
| product(e_6,e_2,e_1) ),
inference(resolution,[status(thm)],[f1752,f1087]) ).
fof(f1763,plain,
( ~ sQ27_spl
| ~ sQ30_spl
| ~ sQ119_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1758,f318,f542,f245,f235]) ).
fof(f1764,plain,
( ~ sQ6_spl
| ~ sQ113_spl
| product(e_6,e_1,e_6) ),
inference(resolution,[status(thm)],[f524,f878]) ).
fof(f1765,plain,
( ~ sQ58_spl
| ~ sQ113_spl
| product(e_6,e_1,e_2) ),
inference(resolution,[status(thm)],[f524,f1363]) ).
fof(f1767,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_6) ),
inference(resolution,[status(thm)],[f524,f128]) ).
fof(f1768,plain,
! [X0] :
( ~ sQ113_spl
| ~ product(e_5,X0,e_6)
| equalish(X0,e_1) ),
inference(resolution,[status(thm)],[f524,f126]) ).
fof(f1770,plain,
! [X0] :
( ~ sQ113_spl
| product(X0,e_5,e_1)
| ~ product(e_6,e_5,X0) ),
inference(resolution,[status(thm)],[f524,f131]) ).
fof(f1771,plain,
( ~ sQ58_spl
| ~ sQ113_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f1765,f204,f523,f340]) ).
fof(f1772,plain,
( ~ sQ6_spl
| ~ sQ113_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f1764,f219,f523,f164]) ).
fof(f1773,plain,
( ~ sQ48_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1378,f96]) ).
fof(f1774,plain,
( ~ sQ48_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1773]) ).
fof(f1777,plain,
( ~ sQ27_spl
| ~ sQ111_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f518,f1084]) ).
fof(f1783,plain,
( ~ sQ27_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1777,f113]) ).
fof(f1784,plain,
( ~ sQ27_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f1783]) ).
fof(f1788,plain,
( ~ sQ102_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f490,f136]) ).
fof(f1796,plain,
! [X0] :
( ~ sQ101_spl
| ~ product(e_5,X0,e_2)
| equalish(X0,e_6) ),
inference(resolution,[status(thm)],[f486,f126]) ).
fof(f1798,plain,
! [X0] :
( ~ sQ101_spl
| ~ product(e_2,e_5,X0)
| product(X0,e_5,e_6) ),
inference(resolution,[status(thm)],[f486,f131]) ).
fof(f1812,plain,
( ~ sQ110_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f515,f136]) ).
fof(f1818,plain,
( ~ sQ30_spl
| ~ sQ116_spl
| product(e_6,e_2,e_6) ),
inference(resolution,[status(thm)],[f534,f1043]) ).
fof(f1819,plain,
( ~ sQ84_spl
| ~ sQ116_spl
| product(e_6,e_2,e_4) ),
inference(resolution,[status(thm)],[f534,f1503]) ).
fof(f1821,plain,
! [X0] :
( ~ sQ116_spl
| ~ product(e_5,X0,e_6)
| equalish(X0,e_2) ),
inference(resolution,[status(thm)],[f534,f126]) ).
fof(f1823,plain,
! [X0] :
( ~ sQ116_spl
| ~ product(e_6,e_5,X0)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f534,f131]) ).
fof(f1824,plain,
( ~ sQ84_spl
| ~ sQ116_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f1819,f309,f533,f427]) ).
fof(f1825,plain,
( sQ94_spl
| ~ sQ75_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f460,f1623]) ).
fof(f1826,plain,
( sQ94_spl
| ~ sQ75_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f1825]) ).
fof(f1827,plain,
( ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1642,f107]) ).
fof(f1828,plain,
~ sQ74_spl,
inference(contradiction_clause,[status(thm)],[f1827]) ).
fof(f1838,plain,
( ~ sQ96_spl
| equalish(e_6,e_5) ),
inference(resolution,[status(thm)],[f471,f136]) ).
fof(f1844,plain,
( ~ sQ58_spl
| ~ sQ112_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f521,f1363]) ).
fof(f1845,plain,
( ~ sQ22_spl
| ~ sQ112_spl
| equalish(e_5,e_6) ),
inference(resolution,[status(thm)],[f521,f997]) ).
fof(f1847,plain,
! [X0] :
( ~ sQ112_spl
| ~ product(X0,e_1,e_4)
| equalish(X0,e_5) ),
inference(resolution,[status(thm)],[f521,f128]) ).
fof(f1851,plain,
( ~ sQ22_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1845,f116]) ).
fof(f1852,plain,
( ~ sQ22_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f1851]) ).
fof(f1853,plain,
( ~ sQ97_spl
| equalish(e_5,e_6) ),
inference(resolution,[status(thm)],[f474,f138]) ).
fof(f1858,plain,
( ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1853,f116]) ).
fof(f1859,plain,
~ sQ97_spl,
inference(contradiction_clause,[status(thm)],[f1858]) ).
fof(f1863,plain,
( ~ sQ84_spl
| ~ sQ117_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f537,f1503]) ).
fof(f1865,plain,
( ~ sQ63_spl
| ~ sQ117_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f537,f1441]) ).
fof(f1866,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f537,f128]) ).
fof(f1870,plain,
( ~ sQ63_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1865,f115]) ).
fof(f1871,plain,
( ~ sQ63_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f1870]) ).
fof(f1875,plain,
( ~ sQ109_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f512,f138]) ).
fof(f1881,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1875,f112]) ).
fof(f1882,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f1881]) ).
fof(f1886,plain,
( ~ sQ118_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f540,f136]) ).
fof(f1890,plain,
( ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1886,f100]) ).
fof(f1891,plain,
~ sQ118_spl,
inference(contradiction_clause,[status(thm)],[f1890]) ).
fof(f1892,plain,
( ~ sQ36_spl
| ~ sQ108_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f509,f1191]) ).
fof(f1897,plain,
! [X0] :
( ~ sQ108_spl
| ~ product(e_2,e_5,X0)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f509,f131]) ).
fof(f1898,plain,
( ~ sQ36_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1892,f115]) ).
fof(f1899,plain,
( ~ sQ36_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f1898]) ).
fof(f1902,plain,
( ~ sQ115_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f531,f138]) ).
fof(f1908,plain,
( ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1902,f113]) ).
fof(f1909,plain,
~ sQ115_spl,
inference(contradiction_clause,[status(thm)],[f1908]) ).
fof(f1911,plain,
( ~ sQ103_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f493,f138]) ).
fof(f1923,plain,
! [X0] :
( ~ sQ99_spl
| product(X0,e_5,e_6)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f480,f131]) ).
fof(f1927,plain,
( ~ sQ30_spl
| ~ sQ114_spl
| product(e_4,e_2,e_6) ),
inference(resolution,[status(thm)],[f528,f1043]) ).
fof(f1928,plain,
( ~ sQ48_spl
| ~ sQ114_spl
| equalish(e_5,e_6) ),
inference(resolution,[status(thm)],[f528,f1273]) ).
fof(f1933,plain,
( ~ sQ30_spl
| ~ sQ114_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f1927,f353,f527,f245]) ).
fof(f1934,plain,
( ~ sQ48_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1928,f116]) ).
fof(f1935,plain,
( ~ sQ48_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f1934]) ).
fof(f1936,plain,
( ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1788,f110]) ).
fof(f1937,plain,
~ sQ102_spl,
inference(contradiction_clause,[status(thm)],[f1936]) ).
fof(f1938,plain,
( ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1911,f115]) ).
fof(f1939,plain,
~ sQ103_spl,
inference(contradiction_clause,[status(thm)],[f1938]) ).
fof(f1941,plain,
( ~ sQ56_spl
| ~ sQ30_spl
| ~ sQ119_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1752,f1322]) ).
fof(f1946,plain,
( ~ sQ56_spl
| ~ sQ30_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1941,f102]) ).
fof(f1947,plain,
( ~ sQ56_spl
| ~ sQ30_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f1946]) ).
fof(f1948,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f930,f102]) ).
fof(f1949,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f1948]) ).
fof(f1950,plain,
( ~ sQ10_spl
| ~ sQ100_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f483,f898]) ).
fof(f1955,plain,
( ~ sQ10_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1950,f112]) ).
fof(f1956,plain,
( ~ sQ10_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f1955]) ).
fof(f1957,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1838,f121]) ).
fof(f1958,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f1957]) ).
fof(f1960,plain,
( ~ sQ38_spl
| ~ sQ105_spl
| product(e_6,e_4,e_1) ),
inference(resolution,[status(thm)],[f499,f1226]) ).
fof(f1961,plain,
( ~ sQ116_spl
| ~ sQ105_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f499,f1821]) ).
fof(f1962,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_6) ),
inference(resolution,[status(thm)],[f499,f128]) ).
fof(f1963,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_6) ),
inference(resolution,[status(thm)],[f499,f126]) ).
fof(f1964,plain,
! [X0] :
( ~ sQ105_spl
| equalish(X0,e_6)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f499,f124]) ).
fof(f1966,plain,
( ~ sQ116_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1961,f108]) ).
fof(f1967,plain,
( ~ sQ116_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f1966]) ).
fof(f1970,plain,
( ~ sQ86_spl
| ~ sQ38_spl
| ~ sQ105_spl
| equalish(e_6,e_2) ),
inference(resolution,[status(thm)],[f1960,f1580]) ).
fof(f1976,plain,
( ~ sQ86_spl
| ~ sQ38_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1970,f118]) ).
fof(f1977,plain,
( ~ sQ86_spl
| ~ sQ38_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f1976]) ).
fof(f1978,plain,
( ~ sQ64_spl
| ~ sQ106_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f502,f1293]) ).
fof(f1979,plain,
( ~ sQ38_spl
| ~ sQ106_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f502,f1226]) ).
fof(f1980,plain,
( ~ sQ101_spl
| ~ sQ106_spl
| equalish(e_4,e_6) ),
inference(resolution,[status(thm)],[f502,f1796]) ).
fof(f1981,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f502,f128]) ).
fof(f1982,plain,
! [X0] :
( ~ sQ106_spl
| ~ product(e_5,X0,e_2)
| equalish(X0,e_4) ),
inference(resolution,[status(thm)],[f502,f126]) ).
fof(f1985,plain,
( ~ sQ101_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1980,f111]) ).
fof(f1986,plain,
( ~ sQ101_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f1985]) ).
fof(f1987,plain,
( ~ sQ38_spl
| ~ sQ106_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f1979,f433,f501,f273]) ).
fof(f1988,plain,
( ~ sQ64_spl
| ~ sQ106_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1978,f439,f501,f359]) ).
fof(f1989,plain,
( ~ sQ64_spl
| ~ sQ107_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f505,f1293]) ).
fof(f1990,plain,
( ~ sQ38_spl
| ~ sQ107_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f505,f1226]) ).
fof(f1991,plain,
( ~ sQ119_spl
| ~ sQ107_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f505,f1755]) ).
fof(f1998,plain,
( ~ sQ119_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1991,f108]) ).
fof(f1999,plain,
( ~ sQ119_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f1998]) ).
fof(f2004,plain,
( ~ sQ125_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f567,f138]) ).
fof(f2009,plain,
( ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2004,f110]) ).
fof(f2010,plain,
~ sQ125_spl,
inference(contradiction_clause,[status(thm)],[f2009]) ).
fof(f2013,plain,
( ~ sQ108_spl
| ~ sQ129_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f580,f1897]) ).
fof(f2014,plain,
( ~ sQ86_spl
| ~ sQ129_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f580,f1581]) ).
fof(f2016,plain,
! [X0] :
( ~ sQ129_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f580,f126]) ).
fof(f2018,plain,
! [X0] :
( ~ sQ129_spl
| ~ product(e_1,e_2,X0)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f580,f131]) ).
fof(f2019,plain,
( ~ sQ86_spl
| ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2014,f115]) ).
fof(f2020,plain,
( ~ sQ86_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f2019]) ).
fof(f2023,plain,
( ~ sQ108_spl
| ~ sQ129_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2013,f136]) ).
fof(f2027,plain,
( ~ sQ108_spl
| ~ sQ129_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2023,f112]) ).
fof(f2028,plain,
( ~ sQ108_spl
| ~ sQ129_spl ),
inference(contradiction_clause,[status(thm)],[f2027]) ).
fof(f2029,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1812,f95]) ).
fof(f2030,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f2029]) ).
fof(f2031,plain,
! [X0] :
( ~ sQ128_spl
| ~ product(X0,e_5,e_6)
| equalish(X0,e_2) ),
inference(resolution,[status(thm)],[f577,f128]) ).
fof(f2035,plain,
( ~ sQ128_spl
| ~ sQ87_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1528,f577]) ).
fof(f2036,plain,
( ~ sQ128_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2035,f115]) ).
fof(f2037,plain,
( ~ sQ128_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f2036]) ).
fof(f2044,plain,
( ~ sQ134_spl
| product(e_6,e_5,e_5) ),
inference(resolution,[status(thm)],[f596,f132]) ).
fof(f2048,plain,
( ~ sQ30_spl
| ~ sQ116_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1818,f315,f533,f245]) ).
fof(f2062,plain,
( ~ sQ121_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f555,f136]) ).
fof(f2066,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2062,f115]) ).
fof(f2067,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f2066]) ).
fof(f2068,plain,
( ~ sQ62_spl
| ~ sQ92_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f1476,f401,f452,f353]) ).
fof(f2071,plain,
( ~ sQ10_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1377,f101]) ).
fof(f2072,plain,
( ~ sQ10_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f2071]) ).
fof(f2073,plain,
( ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1452,f101]) ).
fof(f2074,plain,
~ sQ50_spl,
inference(contradiction_clause,[status(thm)],[f2073]) ).
fof(f2076,plain,
( ~ sQ140_spl
| equalish(e_5,e_6) ),
inference(resolution,[status(thm)],[f615,f136]) ).
fof(f2080,plain,
( ~ sQ140_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2076,f116]) ).
fof(f2081,plain,
~ sQ140_spl,
inference(contradiction_clause,[status(thm)],[f2080]) ).
fof(f2083,plain,
! [X0] :
( ~ sQ138_spl
| equalish(X0,e_6)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f609,f128]) ).
fof(f2091,plain,
( ~ sQ132_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f590,f134]) ).
fof(f2095,plain,
( ~ sQ132_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2091,f105]) ).
fof(f2096,plain,
~ sQ132_spl,
inference(contradiction_clause,[status(thm)],[f2095]) ).
fof(f2097,plain,
( ~ sQ143_spl
| equalish(e_6,e_5) ),
inference(resolution,[status(thm)],[f624,f138]) ).
fof(f2102,plain,
( ~ sQ143_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2097,f121]) ).
fof(f2103,plain,
~ sQ143_spl,
inference(contradiction_clause,[status(thm)],[f2102]) ).
fof(f2104,plain,
( ~ sQ99_spl
| ~ sQ146_spl
| product(e_6,e_5,e_6) ),
inference(resolution,[status(thm)],[f634,f1923]) ).
fof(f2106,plain,
! [X0] :
( ~ sQ146_spl
| ~ product(e_1,X0,e_6)
| equalish(X0,e_5) ),
inference(resolution,[status(thm)],[f634,f126]) ).
fof(f2109,plain,
( ~ sQ99_spl
| ~ sQ146_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f2104,f614,f633,f479]) ).
fof(f2116,plain,
( ~ sQ130_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f583,f136]) ).
fof(f2121,plain,
( ~ sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2116,f113]) ).
fof(f2122,plain,
~ sQ130_spl,
inference(contradiction_clause,[status(thm)],[f2121]) ).
fof(f2135,plain,
( ~ sQ135_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f599,f134]) ).
fof(f2139,plain,
( ~ sQ135_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2135,f95]) ).
fof(f2140,plain,
~ sQ135_spl,
inference(contradiction_clause,[status(thm)],[f2139]) ).
fof(f2141,plain,
! [X0] :
( ~ sQ139_spl
| equalish(X0,e_6)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f612,f128]) ).
fof(f2146,plain,
( ~ sQ28_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f1148,f78]) ).
fof(f2148,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2146,f65]) ).
fof(f2149,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f2148]) ).
fof(f2150,plain,
( ~ sQ62_spl
| ~ sQ90_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1488,f501,f446,f353]) ).
fof(f2172,plain,
( ~ sQ139_spl
| ~ sQ113_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1770,f612]) ).
fof(f2173,plain,
! [X0] :
( ~ sQ139_spl
| ~ sQ113_spl
| ~ product(X0,e_5,e_1)
| equalish(X0,e_4) ),
inference(resolution,[status(thm)],[f2172,f128]) ).
fof(f2178,plain,
( ~ sQ84_spl
| ~ sQ119_spl
| ~ sQ27_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1087,f1753]) ).
fof(f2179,plain,
( ~ sQ51_spl
| ~ sQ84_spl
| ~ sQ119_spl
| ~ sQ27_spl
| equalish(e_4,e_6) ),
inference(resolution,[status(thm)],[f2178,f1399]) ).
fof(f2184,plain,
( ~ sQ51_spl
| ~ sQ84_spl
| ~ sQ119_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2179,f111]) ).
fof(f2185,plain,
( ~ sQ51_spl
| ~ sQ84_spl
| ~ sQ119_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f2184]) ).
fof(f2195,plain,
( ~ sQ84_spl
| ~ sQ119_spl
| ~ sQ27_spl
| ~ sQ34_spl
| product(e_1,e_2,e_6) ),
inference(resolution,[status(thm)],[f1120,f2178]) ).
fof(f2196,plain,
( ~ sQ84_spl
| ~ sQ119_spl
| ~ sQ27_spl
| ~ sQ34_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f2195,f334,f257,f235,f542,f427]) ).
fof(f2199,plain,
( ~ sQ131_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f586,f138]) ).
fof(f2204,plain,
( ~ sQ131_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2199,f100]) ).
fof(f2205,plain,
~ sQ131_spl,
inference(contradiction_clause,[status(thm)],[f2204]) ).
fof(f2206,plain,
( ~ sQ101_spl
| ~ sQ127_spl
| product(e_4,e_5,e_6) ),
inference(resolution,[status(thm)],[f574,f1798]) ).
fof(f2207,plain,
( ~ sQ34_spl
| ~ sQ127_spl
| equalish(e_5,e_6) ),
inference(resolution,[status(thm)],[f574,f1118]) ).
fof(f2208,plain,
! [X0] :
( ~ sQ127_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f574,f128]) ).
fof(f2211,plain,
! [X0] :
( ~ sQ127_spl
| ~ product(e_4,e_2,X0)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f574,f131]) ).
fof(f2212,plain,
( ~ sQ34_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2207,f116]) ).
fof(f2213,plain,
( ~ sQ34_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f2212]) ).
fof(f2214,plain,
( ~ sQ63_spl
| ~ sQ123_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f561,f1442]) ).
fof(f2219,plain,
( ~ sQ63_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2214,f113]) ).
fof(f2220,plain,
( ~ sQ63_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f2219]) ).
fof(f2221,plain,
( ~ sQ116_spl
| ~ sQ141_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f618,f1823]) ).
fof(f2222,plain,
( ~ sQ113_spl
| ~ sQ141_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f618,f1770]) ).
fof(f2224,plain,
! [X0] :
( ~ sQ141_spl
| ~ product(e_6,X0,e_1)
| equalish(X0,e_5) ),
inference(resolution,[status(thm)],[f618,f126]) ).
fof(f2234,plain,
( ~ sQ48_spl
| ~ sQ84_spl
| ~ sQ119_spl
| equalish(e_3,e_6) ),
inference(resolution,[status(thm)],[f1753,f1273]) ).
fof(f2239,plain,
( ~ sQ48_spl
| ~ sQ84_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2234,f106]) ).
fof(f2240,plain,
( ~ sQ48_spl
| ~ sQ84_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f2239]) ).
fof(f2263,plain,
! [X0] :
( ~ sQ148_spl
| ~ product(e_2,e_1,X0)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f640,f131]) ).
fof(f2265,plain,
( ~ sQ116_spl
| ~ sQ142_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f621,f1823]) ).
fof(f2266,plain,
( ~ sQ113_spl
| ~ sQ142_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f621,f1770]) ).
fof(f2267,plain,
( ~ sQ75_spl
| ~ sQ63_spl
| ~ sQ142_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f621,f1625]) ).
fof(f2272,plain,
( ~ sQ75_spl
| ~ sQ63_spl
| ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2267,f115]) ).
fof(f2273,plain,
( ~ sQ75_spl
| ~ sQ63_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f2272]) ).
fof(f2274,plain,
( ~ sQ36_spl
| ~ sQ124_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f564,f1192]) ).
fof(f2279,plain,
( ~ sQ36_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2274,f112]) ).
fof(f2280,plain,
( ~ sQ36_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f2279]) ).
fof(f2282,plain,
( ~ sQ27_spl
| ~ sQ126_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f571,f1085]) ).
fof(f2290,plain,
( ~ sQ128_spl
| ~ sQ122_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f558,f2031]) ).
fof(f2291,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_6) ),
inference(resolution,[status(thm)],[f558,f128]) ).
fof(f2295,plain,
( ~ sQ128_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2290,f108]) ).
fof(f2296,plain,
( ~ sQ128_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f2295]) ).
fof(f2298,plain,
( ~ sQ149_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f643,f138]) ).
fof(f2303,plain,
( ~ sQ149_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2298,f95]) ).
fof(f2304,plain,
~ sQ149_spl,
inference(contradiction_clause,[status(thm)],[f2303]) ).
fof(f2318,plain,
( ~ sQ147_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f637,f136]) ).
fof(f2322,plain,
( ~ sQ147_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2318,f112]) ).
fof(f2323,plain,
~ sQ147_spl,
inference(contradiction_clause,[status(thm)],[f2322]) ).
fof(f2325,plain,
( ~ sQ8_spl
| ~ sQ144_spl
| equalish(e_5,e_6) ),
inference(resolution,[status(thm)],[f628,f912]) ).
fof(f2326,plain,
( ~ sQ138_spl
| ~ sQ144_spl
| equalish(e_1,e_6) ),
inference(resolution,[status(thm)],[f628,f2083]) ).
fof(f2330,plain,
! [X0] :
( ~ sQ144_spl
| product(X0,e_1,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f628,f131]) ).
fof(f2331,plain,
( ~ sQ8_spl
| ~ sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2325,f116]) ).
fof(f2332,plain,
( ~ sQ8_spl
| ~ sQ144_spl ),
inference(contradiction_clause,[status(thm)],[f2331]) ).
fof(f2336,plain,
( ~ sQ136_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f602,f134]) ).
fof(f2341,plain,
( ~ sQ136_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2336,f100]) ).
fof(f2342,plain,
~ sQ136_spl,
inference(contradiction_clause,[status(thm)],[f2341]) ).
fof(f2343,plain,
( ~ sQ44_spl
| ~ sQ120_spl
| equalish(e_5,e_6) ),
inference(resolution,[status(thm)],[f552,f1164]) ).
fof(f2351,plain,
( ~ sQ139_spl
| ~ sQ113_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f2172,f560,f523,f611]) ).
fof(f2352,plain,
( ~ sQ44_spl
| ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2343,f116]) ).
fof(f2353,plain,
( ~ sQ44_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f2352]) ).
fof(f2354,plain,
( ~ sQ84_spl
| ~ sQ117_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f1863,f328,f536,f427]) ).
fof(f2355,plain,
( ~ sQ113_spl
| ~ sQ141_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f2222,f636,f617,f523]) ).
fof(f2358,plain,
( ~ sQ84_spl
| ~ sQ119_spl
| ~ sQ27_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f2178,f356,f235,f542,f427]) ).
fof(f2369,plain,
( ~ sQ10_spl
| ~ sQ145_spl
| equalish(e_5,e_6) ),
inference(resolution,[status(thm)],[f631,f899]) ).
fof(f2373,plain,
! [X0] :
( ~ sQ145_spl
| product(X0,e_1,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f631,f131]) ).
fof(f2374,plain,
( ~ sQ10_spl
| ~ sQ145_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2369,f116]) ).
fof(f2375,plain,
( ~ sQ10_spl
| ~ sQ145_spl ),
inference(contradiction_clause,[status(thm)],[f2374]) ).
fof(f2376,plain,
( ~ sQ27_spl
| ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2282,f112]) ).
fof(f2377,plain,
( ~ sQ27_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f2376]) ).
fof(f2380,plain,
( ~ sQ101_spl
| ~ sQ113_spl
| ~ sQ142_spl
| product(e_1,e_5,e_6) ),
inference(resolution,[status(thm)],[f2266,f1798]) ).
fof(f2385,plain,
( ~ sQ56_spl
| ~ sQ101_spl
| ~ sQ113_spl
| ~ sQ142_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f2380,f1323]) ).
fof(f2390,plain,
( ~ sQ56_spl
| ~ sQ101_spl
| ~ sQ113_spl
| ~ sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2385,f113]) ).
fof(f2391,plain,
( ~ sQ56_spl
| ~ sQ101_spl
| ~ sQ113_spl
| ~ sQ142_spl ),
inference(contradiction_clause,[status(thm)],[f2390]) ).
fof(f2394,plain,
( ~ sQ133_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f593,f134]) ).
fof(f2398,plain,
( ~ sQ133_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2394,f110]) ).
fof(f2399,plain,
~ sQ133_spl,
inference(contradiction_clause,[status(thm)],[f2398]) ).
fof(f2400,plain,
( ~ sQ36_spl
| ~ sQ87_spl
| ~ sQ170_spl
| equalish(e_3,e_6) ),
inference(resolution,[status(thm)],[f716,f1532]) ).
fof(f2404,plain,
! [X0] :
( ~ sQ170_spl
| product(X0,e_3,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f716,f131]) ).
fof(f2405,plain,
( ~ sQ36_spl
| ~ sQ87_spl
| ~ sQ170_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2400,f106]) ).
fof(f2406,plain,
( ~ sQ36_spl
| ~ sQ87_spl
| ~ sQ170_spl ),
inference(contradiction_clause,[status(thm)],[f2405]) ).
fof(f2407,plain,
( ~ sQ139_spl
| ~ sQ113_spl
| ~ sQ153_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f662,f2173]) ).
fof(f2411,plain,
! [X0] :
( ~ sQ153_spl
| ~ product(e_1,e_3,X0)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f662,f131]) ).
fof(f2412,plain,
( ~ sQ139_spl
| ~ sQ113_spl
| ~ sQ153_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2407,f104]) ).
fof(f2413,plain,
( ~ sQ139_spl
| ~ sQ113_spl
| ~ sQ153_spl ),
inference(contradiction_clause,[status(thm)],[f2412]) ).
fof(f2414,plain,
( ~ sQ138_spl
| ~ sQ144_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2326,f96]) ).
fof(f2415,plain,
( ~ sQ138_spl
| ~ sQ144_spl ),
inference(contradiction_clause,[status(thm)],[f2414]) ).
fof(f2430,plain,
( ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1617,f115]) ).
fof(f2431,plain,
~ sQ78_spl,
inference(contradiction_clause,[status(thm)],[f2430]) ).
fof(f2437,plain,
( ~ sQ27_spl
| ~ sQ84_spl
| ~ sQ119_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1753,f1087]) ).
fof(f2457,plain,
( ~ sQ18_spl
| ~ sQ30_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f1039,f479,f245,f204]) ).
fof(f2458,plain,
( ~ sQ58_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1688,f108]) ).
fof(f2459,plain,
( ~ sQ58_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f2458]) ).
fof(f2464,plain,
( ~ sQ113_spl
| ~ sQ34_spl
| ~ sQ64_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1289,f1768]) ).
fof(f2469,plain,
( ~ sQ113_spl
| ~ sQ34_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2464,f97]) ).
fof(f2470,plain,
( ~ sQ113_spl
| ~ sQ34_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f2469]) ).
fof(f2471,plain,
( ~ sQ63_spl
| ~ sQ72_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f1687,f501,f389,f356]) ).
fof(f2472,plain,
( ~ sQ169_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f713,f138]) ).
fof(f2477,plain,
( ~ sQ169_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2472,f104]) ).
fof(f2478,plain,
~ sQ169_spl,
inference(contradiction_clause,[status(thm)],[f2477]) ).
fof(f2479,plain,
( ~ sQ98_spl
| ~ sQ154_spl
| product(e_2,e_5,e_6) ),
inference(resolution,[status(thm)],[f665,f1749]) ).
fof(f2481,plain,
! [X0] :
( ~ sQ154_spl
| ~ product(e_3,X0,e_2)
| equalish(X0,e_5) ),
inference(resolution,[status(thm)],[f665,f126]) ).
fof(f2483,plain,
! [X0] :
( ~ sQ154_spl
| ~ product(e_2,e_3,X0)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f665,f131]) ).
fof(f2484,plain,
( ~ sQ98_spl
| ~ sQ154_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f2479,f576,f664,f476]) ).
fof(f2486,plain,
( ~ sQ173_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f725,f136]) ).
fof(f2490,plain,
( ~ sQ173_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2486,f109]) ).
fof(f2491,plain,
~ sQ173_spl,
inference(contradiction_clause,[status(thm)],[f2490]) ).
fof(f2493,plain,
( ~ sQ27_spl
| ~ sQ165_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f700,f1084]) ).
fof(f2500,plain,
( ~ sQ27_spl
| ~ sQ165_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2493,f103]) ).
fof(f2501,plain,
( ~ sQ27_spl
| ~ sQ165_spl ),
inference(contradiction_clause,[status(thm)],[f2500]) ).
fof(f2504,plain,
( ~ sQ161_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f687,f136]) ).
fof(f2508,plain,
( ~ sQ161_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2504,f98]) ).
fof(f2509,plain,
~ sQ161_spl,
inference(contradiction_clause,[status(thm)],[f2508]) ).
fof(f2510,plain,
( ~ sQ8_spl
| ~ sQ167_spl
| product(e_6,e_1,e_6) ),
inference(resolution,[status(thm)],[f706,f914]) ).
fof(f2511,plain,
( ~ sQ113_spl
| ~ sQ167_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f706,f1767]) ).
fof(f2516,plain,
! [X0] :
( ~ sQ167_spl
| product(X0,e_3,e_1)
| ~ product(e_6,e_3,X0) ),
inference(resolution,[status(thm)],[f706,f131]) ).
fof(f2517,plain,
( ~ sQ8_spl
| ~ sQ167_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f2510,f219,f705,f170]) ).
fof(f2518,plain,
( ~ sQ113_spl
| ~ sQ167_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2511,f105]) ).
fof(f2519,plain,
( ~ sQ113_spl
| ~ sQ167_spl ),
inference(contradiction_clause,[status(thm)],[f2518]) ).
fof(f2520,plain,
( ~ sQ106_spl
| ~ sQ172_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f722,f1981]) ).
fof(f2524,plain,
! [X0] :
( ~ sQ172_spl
| product(X0,e_3,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f722,f131]) ).
fof(f2525,plain,
( ~ sQ106_spl
| ~ sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2520,f105]) ).
fof(f2526,plain,
( ~ sQ106_spl
| ~ sQ172_spl ),
inference(contradiction_clause,[status(thm)],[f2525]) ).
fof(f2530,plain,
! [X0] :
( ~ sQ177_spl
| ~ product(e_3,X0,e_1)
| equalish(X0,e_6) ),
inference(resolution,[status(thm)],[f738,f126]) ).
fof(f2532,plain,
! [X0] :
( ~ sQ177_spl
| ~ product(e_1,e_3,X0)
| product(X0,e_3,e_6) ),
inference(resolution,[status(thm)],[f738,f131]) ).
fof(f2541,plain,
( ~ sQ155_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f668,f138]) ).
fof(f2546,plain,
( ~ sQ155_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2541,f105]) ).
fof(f2547,plain,
~ sQ155_spl,
inference(contradiction_clause,[status(thm)],[f2546]) ).
fof(f2561,plain,
! [X0] :
( ~ sQ152_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_6) ),
inference(resolution,[status(thm)],[f659,f126]) ).
fof(f2565,plain,
( ~ sQ176_spl
| equalish(e_6,e_3) ),
inference(resolution,[status(thm)],[f735,f136]) ).
fof(f2569,plain,
( ~ sQ176_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2565,f119]) ).
fof(f2570,plain,
~ sQ176_spl,
inference(contradiction_clause,[status(thm)],[f2569]) ).
fof(f2574,plain,
( ~ sQ144_spl
| ~ sQ164_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f697,f2330]) ).
fof(f2577,plain,
! [X0] :
( ~ sQ164_spl
| ~ product(e_3,X0,e_5)
| equalish(X0,e_1) ),
inference(resolution,[status(thm)],[f697,f126]) ).
fof(f2579,plain,
! [X0] :
( ~ sQ164_spl
| product(X0,e_3,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f697,f131]) ).
fof(f2580,plain,
( ~ sQ144_spl
| ~ sQ164_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f2574,f514,f696,f627]) ).
fof(f2581,plain,
( ~ sQ152_spl
| ~ sQ171_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f719,f2561]) ).
fof(f2582,plain,
( ~ sQ87_spl
| ~ sQ171_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f719,f1527]) ).
fof(f2587,plain,
( ~ sQ152_spl
| ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2581,f110]) ).
fof(f2588,plain,
( ~ sQ152_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f2587]) ).
fof(f2590,plain,
( ~ sQ27_spl
| ~ sQ159_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f681,f1087]) ).
fof(f2599,plain,
( ~ sQ10_spl
| ~ sQ178_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f741,f898]) ).
fof(f2603,plain,
! [X0] :
( ~ sQ178_spl
| ~ product(e_4,e_3,X0)
| product(X0,e_3,e_6) ),
inference(resolution,[status(thm)],[f741,f131]) ).
fof(f2604,plain,
( ~ sQ10_spl
| ~ sQ178_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2599,f102]) ).
fof(f2605,plain,
( ~ sQ10_spl
| ~ sQ178_spl ),
inference(contradiction_clause,[status(thm)],[f2604]) ).
fof(f2607,plain,
( ~ sQ27_spl
| ~ sQ160_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f684,f1087]) ).
fof(f2608,plain,
( ~ sQ52_spl
| ~ sQ160_spl
| equalish(e_3,e_6) ),
inference(resolution,[status(thm)],[f684,f1422]) ).
fof(f2609,plain,
( ~ sQ64_spl
| ~ sQ160_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f684,f1290]) ).
fof(f2610,plain,
( ~ sQ58_spl
| ~ sQ160_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f684,f1360]) ).
fof(f2612,plain,
! [X0] :
( ~ sQ160_spl
| ~ product(e_3,X0,e_5)
| equalish(X0,e_2) ),
inference(resolution,[status(thm)],[f684,f126]) ).
fof(f2614,plain,
! [X0] :
( ~ sQ160_spl
| product(X0,e_3,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f684,f131]) ).
fof(f2616,plain,
( ~ sQ64_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2609,f104]) ).
fof(f2617,plain,
( ~ sQ64_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f2616]) ).
fof(f2619,plain,
( ~ sQ27_spl
| ~ sQ156_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f672,f1087]) ).
fof(f2625,plain,
( ~ sQ27_spl
| ~ sQ156_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f2619,f356,f671,f235]) ).
fof(f2628,plain,
( ~ sQ150_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f653,f136]) ).
fof(f2636,plain,
( ~ sQ157_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f675,f138]) ).
fof(f2642,plain,
( ~ sQ157_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2636,f103]) ).
fof(f2643,plain,
~ sQ157_spl,
inference(contradiction_clause,[status(thm)],[f2642]) ).
fof(f2646,plain,
! [X0] :
( ~ sQ166_spl
| ~ product(X0,e_1,e_4)
| equalish(X0,e_3) ),
inference(resolution,[status(thm)],[f703,f128]) ).
fof(f2649,plain,
! [X0] :
( ~ sQ166_spl
| product(X0,e_3,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f703,f131]) ).
fof(f2652,plain,
! [X0] :
( ~ sQ168_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f710,f126]) ).
fof(f2654,plain,
! [X0] :
( ~ sQ168_spl
| product(X0,e_3,e_4)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f710,f131]) ).
fof(f2658,plain,
( ~ sQ175_spl
| equalish(e_3,e_6) ),
inference(resolution,[status(thm)],[f732,f138]) ).
fof(f2663,plain,
( ~ sQ175_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2658,f106]) ).
fof(f2664,plain,
~ sQ175_spl,
inference(contradiction_clause,[status(thm)],[f2663]) ).
fof(f2665,plain,
( ~ sQ139_spl
| ~ sQ151_spl
| equalish(e_3,e_6) ),
inference(resolution,[status(thm)],[f656,f2141]) ).
fof(f2666,plain,
( ~ sQ127_spl
| ~ sQ151_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f656,f2208]) ).
fof(f2668,plain,
! [X0] :
( ~ sQ151_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f656,f126]) ).
fof(f2671,plain,
( ~ sQ139_spl
| ~ sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2665,f106]) ).
fof(f2672,plain,
( ~ sQ139_spl
| ~ sQ151_spl ),
inference(contradiction_clause,[status(thm)],[f2671]) ).
fof(f2673,plain,
( ~ sQ168_spl
| ~ sQ174_spl
| equalish(e_6,e_4) ),
inference(resolution,[status(thm)],[f729,f2652]) ).
fof(f2678,plain,
! [X0] :
( ~ sQ174_spl
| ~ product(e_5,e_3,X0)
| product(X0,e_3,e_6) ),
inference(resolution,[status(thm)],[f729,f131]) ).
fof(f2679,plain,
( ~ sQ168_spl
| ~ sQ174_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2673,f120]) ).
fof(f2680,plain,
( ~ sQ168_spl
| ~ sQ174_spl ),
inference(contradiction_clause,[status(thm)],[f2679]) ).
fof(f2682,plain,
( ~ sQ27_spl
| ~ sQ158_spl
| product(e_6,e_2,e_1) ),
inference(resolution,[status(thm)],[f678,f1087]) ).
fof(f2683,plain,
( ~ sQ152_spl
| ~ sQ158_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f678,f2561]) ).
fof(f2685,plain,
! [X0] :
( ~ sQ158_spl
| ~ product(e_3,X0,e_6)
| equalish(X0,e_2) ),
inference(resolution,[status(thm)],[f678,f126]) ).
fof(f2687,plain,
! [X0] :
( ~ sQ158_spl
| product(X0,e_3,e_2)
| ~ product(e_6,e_3,X0) ),
inference(resolution,[status(thm)],[f678,f131]) ).
fof(f2689,plain,
( ~ sQ27_spl
| ~ sQ158_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f2682,f318,f677,f235]) ).
fof(f2690,plain,
( ~ sQ152_spl
| ~ sQ158_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2683,f100]) ).
fof(f2691,plain,
( ~ sQ152_spl
| ~ sQ158_spl ),
inference(contradiction_clause,[status(thm)],[f2690]) ).
fof(f2692,plain,
( ~ sQ150_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2628,f114]) ).
fof(f2693,plain,
~ sQ150_spl,
inference(contradiction_clause,[status(thm)],[f2692]) ).
fof(f2694,plain,
( ~ sQ58_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2610,f102]) ).
fof(f2695,plain,
( ~ sQ58_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f2694]) ).
fof(f2697,plain,
( ~ sQ27_spl
| ~ sQ160_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f2607,f536,f683,f235]) ).
fof(f2707,plain,
( ~ sQ163_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f694,f138]) ).
fof(f2714,plain,
( ~ sQ18_spl
| ~ sQ162_spl
| equalish(e_3,e_6) ),
inference(resolution,[status(thm)],[f691,f977]) ).
fof(f2715,plain,
( ~ sQ36_spl
| ~ sQ162_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f691,f1191]) ).
fof(f2717,plain,
! [X0] :
( ~ sQ162_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f691,f128]) ).
fof(f2721,plain,
( ~ sQ36_spl
| ~ sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2715,f104]) ).
fof(f2722,plain,
( ~ sQ36_spl
| ~ sQ162_spl ),
inference(contradiction_clause,[status(thm)],[f2721]) ).
fof(f2723,plain,
( ~ sQ36_spl
| ~ sQ215_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f864,f1192]) ).
fof(f2728,plain,
( ~ sQ36_spl
| ~ sQ215_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2723,f102]) ).
fof(f2729,plain,
( ~ sQ36_spl
| ~ sQ215_spl ),
inference(contradiction_clause,[status(thm)],[f2728]) ).
fof(f2730,plain,
( ~ sQ164_spl
| ~ sQ180_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f754,f2579]) ).
fof(f2731,plain,
( ~ sQ168_spl
| ~ sQ180_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f754,f2654]) ).
fof(f2739,plain,
( ~ sQ27_spl
| ~ sQ159_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f2590,f337,f680,f235]) ).
fof(f2740,plain,
( ~ sQ87_spl
| ~ sQ171_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2582,f103]) ).
fof(f2741,plain,
( ~ sQ87_spl
| ~ sQ171_spl ),
inference(contradiction_clause,[status(thm)],[f2740]) ).
fof(f2742,plain,
( ~ sQ134_spl
| sQ143_spl ),
inference(split_clause,[status(thm)],[f2044,f623,f595]) ).
fof(f2743,plain,
( ~ sQ163_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2707,f102]) ).
fof(f2744,plain,
~ sQ163_spl,
inference(contradiction_clause,[status(thm)],[f2743]) ).
fof(f2745,plain,
( ~ sQ127_spl
| ~ sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2666,f103]) ).
fof(f2746,plain,
( ~ sQ127_spl
| ~ sQ151_spl ),
inference(contradiction_clause,[status(thm)],[f2745]) ).
fof(f2781,plain,
( ~ sQ158_spl
| ~ sQ198_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f811,f2687]) ).
fof(f2786,plain,
( ~ sQ158_spl
| ~ sQ198_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f2781,f863,f810,f677]) ).
fof(f2806,plain,
( ~ sQ158_spl
| ~ sQ189_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f782,f2685]) ).
fof(f2813,plain,
( ~ sQ158_spl
| ~ sQ189_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2806,f103]) ).
fof(f2814,plain,
( ~ sQ158_spl
| ~ sQ189_spl ),
inference(contradiction_clause,[status(thm)],[f2813]) ).
fof(f2815,plain,
( ~ sQ154_spl
| ~ sQ192_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f792,f2483]) ).
fof(f2826,plain,
( ~ sQ190_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f785,f134]) ).
fof(f2830,plain,
( ~ sQ190_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2826,f93]) ).
fof(f2831,plain,
~ sQ190_spl,
inference(contradiction_clause,[status(thm)],[f2830]) ).
fof(f2833,plain,
( ~ sQ63_spl
| ~ sQ214_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f861,f1442]) ).
fof(f2837,plain,
! [X0] :
( ~ sQ214_spl
| product(X0,e_4,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f861,f131]) ).
fof(f2838,plain,
( ~ sQ63_spl
| ~ sQ214_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2833,f103]) ).
fof(f2839,plain,
( ~ sQ63_spl
| ~ sQ214_spl ),
inference(contradiction_clause,[status(thm)],[f2838]) ).
fof(f2842,plain,
( ~ sQ197_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f807,f136]) ).
fof(f2846,plain,
( ~ sQ197_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2842,f103]) ).
fof(f2847,plain,
~ sQ197_spl,
inference(contradiction_clause,[status(thm)],[f2846]) ).
fof(f2848,plain,
( ~ sQ154_spl
| ~ sQ193_spl
| product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f795,f2483]) ).
fof(f2849,plain,
! [X0] :
( ~ sQ193_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f795,f128]) ).
fof(f2856,plain,
( ~ sQ154_spl
| ~ sQ193_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2848,f136]) ).
fof(f2860,plain,
( ~ sQ154_spl
| ~ sQ193_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2856,f105]) ).
fof(f2861,plain,
( ~ sQ154_spl
| ~ sQ193_spl ),
inference(contradiction_clause,[status(thm)],[f2860]) ).
fof(f2865,plain,
( ~ sQ158_spl
| ~ sQ203_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f826,f2687]) ).
fof(f2866,plain,
( ~ sQ94_spl
| ~ sQ203_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f826,f1545]) ).
fof(f2871,plain,
( ~ sQ94_spl
| ~ sQ203_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2866,f104]) ).
fof(f2872,plain,
( ~ sQ94_spl
| ~ sQ203_spl ),
inference(contradiction_clause,[status(thm)],[f2871]) ).
fof(f2873,plain,
( ~ sQ158_spl
| ~ sQ203_spl
| sQ197_spl ),
inference(split_clause,[status(thm)],[f2865,f806,f825,f677]) ).
fof(f2877,plain,
( ~ sQ186_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f773,f134]) ).
fof(f2883,plain,
( ~ sQ186_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2877,f109]) ).
fof(f2884,plain,
~ sQ186_spl,
inference(contradiction_clause,[status(thm)],[f2883]) ).
fof(f2902,plain,
( ~ sQ208_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f842,f136]) ).
fof(f2906,plain,
( ~ sQ208_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2902,f102]) ).
fof(f2907,plain,
~ sQ208_spl,
inference(contradiction_clause,[status(thm)],[f2906]) ).
fof(f2908,plain,
( ~ sQ87_spl
| ~ sQ195_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f801,f1528]) ).
fof(f2912,plain,
! [X0] :
( ~ sQ195_spl
| product(X0,e_2,e_3)
| ~ product(e_6,e_2,X0) ),
inference(resolution,[status(thm)],[f801,f131]) ).
fof(f2913,plain,
( ~ sQ87_spl
| ~ sQ195_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2908,f104]) ).
fof(f2914,plain,
( ~ sQ87_spl
| ~ sQ195_spl ),
inference(contradiction_clause,[status(thm)],[f2913]) ).
fof(f2916,plain,
( ~ sQ194_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f798,f138]) ).
fof(f2921,plain,
( ~ sQ194_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2916,f98]) ).
fof(f2922,plain,
~ sQ194_spl,
inference(contradiction_clause,[status(thm)],[f2921]) ).
fof(f2923,plain,
( ~ sQ164_spl
| ~ sQ184_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f766,f2579]) ).
fof(f2928,plain,
! [X0] :
( ~ sQ184_spl
| product(X0,e_5,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f766,f131]) ).
fof(f2929,plain,
( ~ sQ164_spl
| ~ sQ184_spl
| sQ208_spl ),
inference(split_clause,[status(thm)],[f2923,f841,f765,f696]) ).
fof(f2933,plain,
( ~ sQ182_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f760,f138]) ).
fof(f2941,plain,
( ~ sQ42_spl
| ~ sQ211_spl
| equalish(e_3,e_6) ),
inference(resolution,[status(thm)],[f852,f1248]) ).
fof(f2943,plain,
! [X0] :
( ~ sQ211_spl
| ~ product(e_4,X0,e_5)
| equalish(X0,e_3) ),
inference(resolution,[status(thm)],[f852,f126]) ).
fof(f2946,plain,
( ~ sQ42_spl
| ~ sQ211_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2941,f106]) ).
fof(f2947,plain,
( ~ sQ42_spl
| ~ sQ211_spl ),
inference(contradiction_clause,[status(thm)],[f2946]) ).
fof(f2950,plain,
( ~ sQ141_spl
| ~ sQ202_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f823,f2224]) ).
fof(f2951,plain,
( ~ sQ51_spl
| ~ sQ202_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f823,f1400]) ).
fof(f2957,plain,
( ~ sQ141_spl
| ~ sQ202_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2950,f105]) ).
fof(f2958,plain,
( ~ sQ141_spl
| ~ sQ202_spl ),
inference(contradiction_clause,[status(thm)],[f2957]) ).
fof(f2961,plain,
( ~ sQ191_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f788,f134]) ).
fof(f2966,plain,
( ~ sQ191_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2961,f98]) ).
fof(f2967,plain,
~ sQ191_spl,
inference(contradiction_clause,[status(thm)],[f2966]) ).
fof(f2979,plain,
( ~ sQ181_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f757,f136]) ).
fof(f2983,plain,
( ~ sQ181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2979,f105]) ).
fof(f2984,plain,
~ sQ181_spl,
inference(contradiction_clause,[status(thm)],[f2983]) ).
fof(f2986,plain,
( ~ sQ206_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f836,f138]) ).
fof(f2991,plain,
( ~ sQ206_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2986,f93]) ).
fof(f2992,plain,
~ sQ206_spl,
inference(contradiction_clause,[status(thm)],[f2991]) ).
fof(f2994,plain,
( ~ sQ106_spl
| ~ sQ185_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f769,f1982]) ).
fof(f2997,plain,
! [X0] :
( ~ sQ185_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f769,f124]) ).
fof(f2999,plain,
( ~ sQ106_spl
| ~ sQ185_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2994,f104]) ).
fof(f3000,plain,
( ~ sQ106_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f2999]) ).
fof(f3001,plain,
( ~ sQ177_spl
| ~ sQ207_spl
| product(e_6,e_3,e_6) ),
inference(resolution,[status(thm)],[f839,f2532]) ).
fof(f3002,plain,
( ~ sQ56_spl
| ~ sQ207_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f839,f1323]) ).
fof(f3003,plain,
( ~ sQ146_spl
| ~ sQ207_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f839,f2106]) ).
fof(f3008,plain,
( ~ sQ56_spl
| ~ sQ207_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3002,f103]) ).
fof(f3009,plain,
( ~ sQ56_spl
| ~ sQ207_spl ),
inference(contradiction_clause,[status(thm)],[f3008]) ).
fof(f3010,plain,
( ~ sQ129_spl
| ~ sQ196_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f804,f2016]) ).
fof(f3015,plain,
( ~ sQ129_spl
| ~ sQ196_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3010,f105]) ).
fof(f3016,plain,
( ~ sQ129_spl
| ~ sQ196_spl ),
inference(contradiction_clause,[status(thm)],[f3015]) ).
fof(f3020,plain,
( ~ sQ158_spl
| ~ sQ199_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f814,f2687]) ).
fof(f3021,plain,
( ~ sQ20_spl
| ~ sQ199_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f814,f917]) ).
fof(f3022,plain,
( ~ sQ193_spl
| ~ sQ199_spl
| equalish(e_6,e_2) ),
inference(resolution,[status(thm)],[f814,f2849]) ).
fof(f3027,plain,
( ~ sQ158_spl
| ~ sQ199_spl
| sQ185_spl ),
inference(split_clause,[status(thm)],[f3020,f768,f813,f677]) ).
fof(f3028,plain,
( ~ sQ20_spl
| ~ sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3021,f102]) ).
fof(f3029,plain,
( ~ sQ20_spl
| ~ sQ199_spl ),
inference(contradiction_clause,[status(thm)],[f3028]) ).
fof(f3030,plain,
( ~ sQ153_spl
| ~ sQ205_spl
| product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f833,f2411]) ).
fof(f3031,plain,
( ~ sQ177_spl
| ~ sQ205_spl
| product(e_5,e_3,e_6) ),
inference(resolution,[status(thm)],[f833,f2532]) ).
fof(f3032,plain,
( ~ sQ72_spl
| ~ sQ205_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f833,f1691]) ).
fof(f3034,plain,
! [X0] :
( ~ sQ205_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f833,f128]) ).
fof(f3037,plain,
! [X0] :
( ~ sQ205_spl
| ~ product(e_5,e_1,X0)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f833,f131]) ).
fof(f3038,plain,
( ~ sQ153_spl
| ~ sQ205_spl
| sQ181_spl ),
inference(split_clause,[status(thm)],[f3030,f756,f832,f661]) ).
fof(f3041,plain,
( ~ sQ154_spl
| ~ sQ192_spl
| sQ211_spl ),
inference(split_clause,[status(thm)],[f2815,f851,f791,f664]) ).
fof(f3043,plain,
( ~ sQ200_spl
| equalish(e_6,e_3) ),
inference(resolution,[status(thm)],[f817,f138]) ).
fof(f3048,plain,
( ~ sQ200_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3043,f119]) ).
fof(f3049,plain,
~ sQ200_spl,
inference(contradiction_clause,[status(thm)],[f3048]) ).
fof(f3053,plain,
( ~ sQ212_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f855,f138]) ).
fof(f3058,plain,
( ~ sQ212_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3053,f109]) ).
fof(f3059,plain,
~ sQ212_spl,
inference(contradiction_clause,[status(thm)],[f3058]) ).
fof(f3060,plain,
( ~ sQ178_spl
| ~ sQ213_spl
| product(e_6,e_3,e_6) ),
inference(resolution,[status(thm)],[f858,f2603]) ).
fof(f3062,plain,
! [X0] :
( ~ sQ213_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_6) ),
inference(resolution,[status(thm)],[f858,f128]) ).
fof(f3064,plain,
! [X0] :
( ~ sQ213_spl
| equalish(X0,e_6)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f858,f124]) ).
fof(f3065,plain,
! [X0] :
( ~ sQ213_spl
| ~ product(e_6,e_4,X0)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f858,f131]) ).
fof(f3067,plain,
( ~ sQ51_spl
| ~ sQ202_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2951,f103]) ).
fof(f3068,plain,
( ~ sQ51_spl
| ~ sQ202_spl ),
inference(contradiction_clause,[status(thm)],[f3067]) ).
fof(f3071,plain,
( ~ sQ178_spl
| ~ sQ213_spl
| equalish(e_3,e_6) ),
inference(resolution,[status(thm)],[f3060,f136]) ).
fof(f3076,plain,
( ~ sQ178_spl
| ~ sQ213_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3071,f106]) ).
fof(f3077,plain,
( ~ sQ178_spl
| ~ sQ213_spl ),
inference(contradiction_clause,[status(thm)],[f3076]) ).
fof(f3085,plain,
( ~ sQ201_spl
| equalish(e_3,e_6) ),
inference(resolution,[status(thm)],[f820,f136]) ).
fof(f3093,plain,
( ~ sQ193_spl
| ~ sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3022,f118]) ).
fof(f3094,plain,
( ~ sQ193_spl
| ~ sQ199_spl ),
inference(contradiction_clause,[status(thm)],[f3093]) ).
fof(f3095,plain,
( ~ sQ213_spl
| ~ sQ75_spl
| ~ sQ63_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1623,f3065]) ).
fof(f3097,plain,
( ~ sQ18_spl
| ~ sQ75_spl
| ~ sQ63_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1623,f978]) ).
fof(f3102,plain,
( ~ sQ18_spl
| ~ sQ75_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3097,f107]) ).
fof(f3103,plain,
( ~ sQ18_spl
| ~ sQ75_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f3102]) ).
fof(f3107,plain,
( ~ sQ18_spl
| ~ sQ58_spl
| ~ sQ112_spl
| equalish(e_4,e_6) ),
inference(resolution,[status(thm)],[f1844,f977]) ).
fof(f3115,plain,
( ~ sQ18_spl
| ~ sQ58_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3107,f111]) ).
fof(f3116,plain,
( ~ sQ18_spl
| ~ sQ58_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f3115]) ).
fof(f3136,plain,
! [X0] :
( ~ sQ209_spl
| ~ product(e_2,e_1,X0)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f845,f131]) ).
fof(f3139,plain,
( ~ sQ185_spl
| ~ sQ183_spl
| equalish(e_6,e_2) ),
inference(resolution,[status(thm)],[f763,f2997]) ).
fof(f3140,plain,
( ~ sQ116_spl
| ~ sQ183_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f763,f1821]) ).
fof(f3141,plain,
( ~ sQ213_spl
| ~ sQ183_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f763,f3062]) ).
fof(f3146,plain,
( ~ sQ116_spl
| ~ sQ183_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3140,f103]) ).
fof(f3147,plain,
( ~ sQ116_spl
| ~ sQ183_spl ),
inference(contradiction_clause,[status(thm)],[f3146]) ).
fof(f3151,plain,
( ~ sQ210_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f849,f136]) ).
fof(f3158,plain,
( ~ sQ10_spl
| ~ sQ204_spl
| equalish(e_3,e_6) ),
inference(resolution,[status(thm)],[f830,f899]) ).
fof(f3163,plain,
! [X0] :
( ~ sQ204_spl
| product(X0,e_1,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f830,f131]) ).
fof(f3164,plain,
( ~ sQ10_spl
| ~ sQ204_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3158,f106]) ).
fof(f3165,plain,
( ~ sQ10_spl
| ~ sQ204_spl ),
inference(contradiction_clause,[status(thm)],[f3164]) ).
fof(f3171,plain,
( ~ sQ4_spl
| equalish(e_4,e_6) ),
inference(resolution,[status(thm)],[f156,f134]) ).
fof(f3175,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3171,f111]) ).
fof(f3176,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f3175]) ).
fof(f3193,plain,
( ~ sQ54_spl
| ~ sQ36_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f268,f1382]) ).
fof(f3194,plain,
( ~ sQ145_spl
| ~ sQ36_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f268,f2373]) ).
fof(f3197,plain,
( ~ sQ18_spl
| ~ sQ36_spl
| equalish(e_4,e_6) ),
inference(resolution,[status(thm)],[f268,f977]) ).
fof(f3204,plain,
( ~ sQ18_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3197,f111]) ).
fof(f3205,plain,
( ~ sQ18_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f3204]) ).
fof(f3206,plain,
( ~ sQ145_spl
| ~ sQ36_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f3194,f232,f267,f630]) ).
fof(f3208,plain,
( ~ sQ54_spl
| ~ sQ36_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f3193,f226,f267,f328]) ).
fof(f3211,plain,
( ~ sQ116_spl
| ~ sQ142_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f2265,f582,f620,f533]) ).
fof(f3212,plain,
( ~ sQ177_spl
| ~ sQ205_spl
| sQ183_spl ),
inference(split_clause,[status(thm)],[f3031,f762,f832,f737]) ).
fof(f3213,plain,
( ~ sQ52_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2608,f106]) ).
fof(f3214,plain,
( ~ sQ52_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f3213]) ).
fof(f3218,plain,
( ~ sQ2_spl
| equalish(e_3,e_6) ),
inference(resolution,[status(thm)],[f150,f134]) ).
fof(f3223,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3218,f106]) ).
fof(f3224,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f3223]) ).
fof(f3225,plain,
( ~ sQ27_spl
| ~ sQ76_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1711,f236]) ).
fof(f3236,plain,
( ~ sQ0_spl
| equalish(e_5,e_6) ),
inference(resolution,[status(thm)],[f144,f134]) ).
fof(f3241,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3236,f116]) ).
fof(f3242,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f3241]) ).
fof(f3251,plain,
( ~ sQ3_spl
| product(e_1,e_6,e_6) ),
inference(resolution,[status(thm)],[f153,f132]) ).
fof(f3253,plain,
( ~ sQ3_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f3251,f167,f152]) ).
fof(f3256,plain,
( ~ sQ27_spl
| ~ sQ32_spl
| equalish(e_1,e_6) ),
inference(resolution,[status(thm)],[f1112,f236]) ).
fof(f3257,plain,
( ~ sQ27_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3256,f96]) ).
fof(f3258,plain,
( ~ sQ27_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f3257]) ).
fof(f3259,plain,
( ~ sQ146_spl
| ~ sQ207_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3003,f105]) ).
fof(f3260,plain,
( ~ sQ146_spl
| ~ sQ207_spl ),
inference(contradiction_clause,[status(thm)],[f3259]) ).
fof(f3269,plain,
( ~ sQ27_spl
| ~ sQ148_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f2263,f236]) ).
fof(f3273,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ148_spl
| ~ greater(e_5,X0)
| ~ next(e_3,X0) ),
inference(resolution,[status(thm)],[f3269,f85]) ).
fof(f3280,plain,
( ~ sQ210_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3151,f104]) ).
fof(f3281,plain,
~ sQ210_spl,
inference(contradiction_clause,[status(thm)],[f3280]) ).
fof(f3282,plain,
( sQ166_spl
| ~ sQ27_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f704,f3225]) ).
fof(f3283,plain,
( sQ166_spl
| ~ sQ27_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f3282]) ).
fof(f3284,plain,
( ~ sQ177_spl
| ~ sQ207_spl
| sQ201_spl ),
inference(split_clause,[status(thm)],[f3001,f819,f838,f737]) ).
fof(f3301,plain,
( ~ sQ34_spl
| ~ sQ65_spl
| sQ158_spl ),
inference(split_clause,[status(thm)],[f1343,f677,f362,f257]) ).
fof(f3304,plain,
( ~ sQ201_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3085,f106]) ).
fof(f3305,plain,
~ sQ201_spl,
inference(contradiction_clause,[status(thm)],[f3304]) ).
fof(f3314,plain,
( ~ sQ168_spl
| ~ sQ65_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1348,f710]) ).
fof(f3315,plain,
( ~ sQ168_spl
| ~ sQ65_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f3314,f501,f362,f709]) ).
fof(f3316,plain,
( ~ sQ168_spl
| ~ sQ72_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1690,f710]) ).
fof(f3317,plain,
( ~ sQ168_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3316,f102]) ).
fof(f3318,plain,
( ~ sQ168_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f3317]) ).
fof(f3319,plain,
( ~ sQ168_spl
| ~ sQ160_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2612,f710]) ).
fof(f3320,plain,
( ~ sQ168_spl
| ~ sQ160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3319,f108]) ).
fof(f3321,plain,
( ~ sQ168_spl
| ~ sQ160_spl ),
inference(contradiction_clause,[status(thm)],[f3320]) ).
fof(f3322,plain,
( ~ sQ185_spl
| ~ sQ183_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3139,f118]) ).
fof(f3323,plain,
( ~ sQ185_spl
| ~ sQ183_spl ),
inference(contradiction_clause,[status(thm)],[f3322]) ).
fof(f3352,plain,
( ~ sQ27_spl
| ~ sQ76_spl
| ~ sQ8_spl
| product(e_4,e_1,e_6) ),
inference(resolution,[status(thm)],[f914,f3225]) ).
fof(f3353,plain,
( ~ sQ27_spl
| ~ sQ76_spl
| ~ sQ8_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f3352,f282,f170,f401,f235]) ).
fof(f3366,plain,
( ~ sQ164_spl
| ~ sQ180_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f2730,f860,f753,f696]) ).
fof(f3367,plain,
( ~ sQ113_spl
| ~ sQ142_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f2266,f579,f620,f523]) ).
fof(f3368,plain,
( ~ sQ168_spl
| ~ sQ180_spl
| sQ210_spl ),
inference(split_clause,[status(thm)],[f2731,f848,f753,f709]) ).
fof(f3370,plain,
( ~ sQ213_spl
| ~ sQ183_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3141,f115]) ).
fof(f3371,plain,
( ~ sQ213_spl
| ~ sQ183_spl ),
inference(contradiction_clause,[status(thm)],[f3370]) ).
fof(f3372,plain,
( ~ sQ168_spl
| ~ sQ164_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2577,f710]) ).
fof(f3373,plain,
( ~ sQ168_spl
| ~ sQ164_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3372,f107]) ).
fof(f3374,plain,
( ~ sQ168_spl
| ~ sQ164_spl ),
inference(contradiction_clause,[status(thm)],[f3373]) ).
fof(f3375,plain,
( ~ sQ36_spl
| ~ sQ10_spl
| product(e_2,e_1,e_6) ),
inference(resolution,[status(thm)],[f901,f268]) ).
fof(f3376,plain,
( ~ sQ36_spl
| ~ sQ10_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f3375,f241,f176,f267]) ).
fof(f3379,plain,
( ~ sQ27_spl
| ~ sQ11_spl
| product(e_3,e_1,e_6) ),
inference(resolution,[status(thm)],[f893,f236]) ).
fof(f3381,plain,
! [X0] :
( ~ sQ27_spl
| ~ sQ11_spl
| ~ next(e_3,X0)
| ~ greater(e_6,X0) ),
inference(resolution,[status(thm)],[f3379,f85]) ).
fof(f3411,plain,
( ~ sQ36_spl
| ~ sQ87_spl
| product(e_6,e_4,e_1) ),
inference(resolution,[status(thm)],[f437,f1194]) ).
fof(f3442,plain,
( ~ sQ87_spl
| ~ sQ105_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1962,f437]) ).
fof(f3443,plain,
( ~ sQ87_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3442,f100]) ).
fof(f3444,plain,
( ~ sQ87_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f3443]) ).
fof(f3448,plain,
( ~ sQ72_spl
| ~ sQ205_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3032,f104]) ).
fof(f3449,plain,
( ~ sQ72_spl
| ~ sQ205_spl ),
inference(contradiction_clause,[status(thm)],[f3448]) ).
fof(f3450,plain,
( ~ sQ36_spl
| ~ sQ87_spl
| ~ sQ51_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1400,f3411]) ).
fof(f3451,plain,
( ~ sQ36_spl
| ~ sQ87_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3450,f108]) ).
fof(f3452,plain,
( ~ sQ36_spl
| ~ sQ87_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f3451]) ).
fof(f3454,plain,
( ~ sQ146_spl
| ~ sQ56_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f335,f2106]) ).
fof(f3461,plain,
( ~ sQ146_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3454,f100]) ).
fof(f3462,plain,
( ~ sQ146_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f3461]) ).
fof(f3463,plain,
( ~ sQ182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2933,f114]) ).
fof(f3464,plain,
~ sQ182_spl,
inference(contradiction_clause,[status(thm)],[f3463]) ).
fof(f3467,plain,
( ~ sQ56_spl
| ~ sQ129_spl
| product(e_6,e_2,e_5) ),
inference(resolution,[status(thm)],[f2018,f335]) ).
fof(f3468,plain,
( ~ sQ56_spl
| ~ sQ129_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f3467,f321,f579,f334]) ).
fof(f3470,plain,
( ~ sQ36_spl
| ~ sQ87_spl
| ~ sQ141_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2224,f3411]) ).
fof(f3471,plain,
( ~ sQ36_spl
| ~ sQ87_spl
| ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3470,f110]) ).
fof(f3472,plain,
( ~ sQ36_spl
| ~ sQ87_spl
| ~ sQ141_spl ),
inference(contradiction_clause,[status(thm)],[f3471]) ).
fof(f3475,plain,
( ~ sQ65_spl
| ~ sQ172_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f722,f1348]) ).
fof(f3483,plain,
( ~ sQ65_spl
| ~ sQ172_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f3475,f439,f721,f362]) ).
fof(f3487,plain,
( ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ76_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f3225,f1331]) ).
fof(f3488,plain,
( ~ sQ112_spl
| ~ sQ27_spl
| ~ sQ76_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f3225,f1847]) ).
fof(f3494,plain,
( ~ sQ112_spl
| ~ sQ27_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3488,f105]) ).
fof(f3495,plain,
( ~ sQ112_spl
| ~ sQ27_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f3494]) ).
fof(f3506,plain,
( ~ sQ36_spl
| ~ sQ84_spl
| ~ sQ105_spl
| equalish(e_1,e_6) ),
inference(resolution,[status(thm)],[f1964,f1499]) ).
fof(f3507,plain,
( ~ sQ36_spl
| ~ sQ84_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3506,f96]) ).
fof(f3508,plain,
( ~ sQ36_spl
| ~ sQ84_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f3507]) ).
fof(f3538,plain,
( ~ sQ122_spl
| ~ sQ146_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f634,f2291]) ).
fof(f3545,plain,
( ~ sQ122_spl
| ~ sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3538,f94]) ).
fof(f3546,plain,
( ~ sQ122_spl
| ~ sQ146_spl ),
inference(contradiction_clause,[status(thm)],[f3545]) ).
fof(f3549,plain,
( ~ sQ213_spl
| ~ sQ75_spl
| ~ sQ63_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f3095,f442,f356,f398,f857]) ).
fof(f3558,plain,
( ~ sQ213_spl
| ~ sQ63_spl
| ~ sQ42_spl
| ~ sQ36_spl
| ~ sQ84_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f1661,f3065]) ).
fof(f3563,plain,
( ~ sQ213_spl
| ~ sQ63_spl
| ~ sQ42_spl
| ~ sQ36_spl
| ~ sQ84_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f3558,f442,f427,f267,f286,f356,f857]) ).
fof(f3598,plain,
( ~ sQ27_spl
| ~ sQ148_spl
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f3273,f81]) ).
fof(f3600,plain,
( ~ sQ27_spl
| ~ sQ148_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3598,f66]) ).
fof(f3601,plain,
( ~ sQ27_spl
| ~ sQ148_spl ),
inference(contradiction_clause,[status(thm)],[f3600]) ).
fof(f3604,plain,
( ~ sQ154_spl
| ~ sQ179_spl
| equalish(e_6,e_5) ),
inference(resolution,[status(thm)],[f744,f2481]) ).
fof(f3611,plain,
! [X0] :
( ~ sQ179_spl
| ~ product(e_2,e_3,X0)
| product(X0,e_3,e_6) ),
inference(resolution,[status(thm)],[f744,f131]) ).
fof(f3614,plain,
( ~ sQ154_spl
| ~ sQ179_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3604,f121]) ).
fof(f3615,plain,
( ~ sQ154_spl
| ~ sQ179_spl ),
inference(contradiction_clause,[status(thm)],[f3614]) ).
fof(f3616,plain,
( ~ sQ84_spl
| ~ sQ30_spl
| equalish(e_4,e_6) ),
inference(resolution,[status(thm)],[f1041,f428]) ).
fof(f3617,plain,
( ~ sQ84_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3616,f111]) ).
fof(f3618,plain,
( ~ sQ84_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f3617]) ).
fof(f3620,plain,
( ~ sQ59_spl
| ~ sQ164_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f697,f1331]) ).
fof(f3621,plain,
( ~ sQ8_spl
| ~ sQ164_spl
| product(e_5,e_1,e_6) ),
inference(resolution,[status(thm)],[f697,f914]) ).
fof(f3630,plain,
( ~ sQ59_spl
| ~ sQ164_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f3620,f508,f696,f343]) ).
fof(f3633,plain,
( ~ sQ45_spl
| ~ sQ75_spl
| product(e_6,e_4,e_6) ),
inference(resolution,[status(thm)],[f399,f1208]) ).
fof(f3635,plain,
( ~ sQ146_spl
| ~ sQ75_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f399,f2106]) ).
fof(f3645,plain,
( ~ sQ146_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3635,f110]) ).
fof(f3646,plain,
( ~ sQ146_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f3645]) ).
fof(f3648,plain,
( ~ sQ101_spl
| ~ sQ185_spl
| equalish(e_3,e_6) ),
inference(resolution,[status(thm)],[f769,f1796]) ).
fof(f3655,plain,
( ~ sQ101_spl
| ~ sQ185_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3648,f106]) ).
fof(f3656,plain,
( ~ sQ101_spl
| ~ sQ185_spl ),
inference(contradiction_clause,[status(thm)],[f3655]) ).
fof(f3664,plain,
( ~ sQ113_spl
| ~ sQ139_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f612,f1770]) ).
fof(f3666,plain,
( ~ sQ22_spl
| ~ sQ139_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f612,f998]) ).
fof(f3673,plain,
( ~ sQ22_spl
| ~ sQ139_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3666,f112]) ).
fof(f3674,plain,
( ~ sQ22_spl
| ~ sQ139_spl ),
inference(contradiction_clause,[status(thm)],[f3673]) ).
fof(f3675,plain,
( ~ sQ18_spl
| ~ sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2714,f106]) ).
fof(f3676,plain,
( ~ sQ18_spl
| ~ sQ162_spl ),
inference(contradiction_clause,[status(thm)],[f3675]) ).
fof(f3692,plain,
( ~ sQ65_spl
| ~ sQ38_spl
| ~ sQ107_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f1990,f1348]) ).
fof(f3693,plain,
( ~ sQ177_spl
| ~ sQ38_spl
| ~ sQ107_spl
| equalish(e_4,e_6) ),
inference(resolution,[status(thm)],[f1990,f2530]) ).
fof(f3698,plain,
( ~ sQ177_spl
| ~ sQ38_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3693,f111]) ).
fof(f3699,plain,
( ~ sQ177_spl
| ~ sQ38_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f3698]) ).
fof(f3710,plain,
( ~ sQ214_spl
| ~ sQ65_spl
| ~ sQ38_spl
| ~ sQ107_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f3692,f2837]) ).
fof(f3711,plain,
( ~ sQ45_spl
| ~ sQ65_spl
| ~ sQ38_spl
| ~ sQ107_spl
| product(e_2,e_4,e_6) ),
inference(resolution,[status(thm)],[f3692,f1208]) ).
fof(f3716,plain,
( ~ sQ214_spl
| ~ sQ65_spl
| ~ sQ38_spl
| ~ sQ107_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f3710,f442,f504,f273,f362,f860]) ).
fof(f3730,plain,
( ~ sQ87_spl
| ~ sQ51_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f319,f1530]) ).
fof(f3738,plain,
( ~ sQ87_spl
| ~ sQ51_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f3730,f328,f318,f436]) ).
fof(f3743,plain,
( ~ sQ27_spl
| ~ sQ158_spl
| product(e_6,e_2,e_1) ),
inference(resolution,[status(thm)],[f678,f1087]) ).
fof(f3750,plain,
( ~ sQ51_spl
| ~ sQ38_spl
| ~ sQ105_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1960,f1400]) ).
fof(f3755,plain,
( ~ sQ51_spl
| ~ sQ38_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3750,f108]) ).
fof(f3756,plain,
( ~ sQ51_spl
| ~ sQ38_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f3755]) ).
fof(f3759,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ107_spl
| ~ product(e_3,e_4,X0)
| equalish(X0,e_1) ),
inference(resolution,[status(thm)],[f1990,f124]) ).
fof(f3760,plain,
! [X0] :
( ~ sQ38_spl
| ~ sQ107_spl
| ~ product(e_1,e_3,X0)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1990,f131]) ).
fof(f3773,plain,
( ~ sQ45_spl
| ~ sQ65_spl
| ~ sQ38_spl
| ~ sQ107_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f3711,f436,f504,f273,f362,f295]) ).
fof(f3781,plain,
( ~ sQ114_spl
| ~ sQ84_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f1503,f528]) ).
fof(f3782,plain,
( ~ sQ114_spl
| ~ sQ84_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f3781,f347,f427,f527]) ).
fof(f3783,plain,
( ~ sQ205_spl
| ~ sQ113_spl
| product(e_6,e_1,e_3) ),
inference(resolution,[status(thm)],[f524,f3037]) ).
fof(f3793,plain,
( ~ sQ205_spl
| ~ sQ113_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f3783,f213,f523,f832]) ).
fof(f3801,plain,
( ~ sQ27_spl
| ~ sQ209_spl
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f3136,f236]) ).
fof(f3802,plain,
( ~ sQ27_spl
| ~ sQ209_spl
| sQ165_spl ),
inference(split_clause,[status(thm)],[f3801,f699,f844,f235]) ).
fof(f3803,plain,
( ~ sQ65_spl
| ~ sQ38_spl
| ~ sQ107_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f3692,f401,f504,f273,f362]) ).
fof(f3857,plain,
( ~ sQ18_spl
| ~ sQ34_spl
| product(e_4,e_6,e_1) ),
inference(resolution,[status(thm)],[f258,f980]) ).
fof(f3865,plain,
( ~ sQ18_spl
| ~ sQ34_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f3857,f295,f257,f204]) ).
fof(f3866,plain,
( ~ sQ34_spl
| ~ sQ64_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f1289,f533,f359,f257]) ).
fof(f3867,plain,
( ~ sQ8_spl
| ~ sQ164_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f3621,f523,f696,f170]) ).
fof(f3881,plain,
( ~ sQ64_spl
| ~ sQ107_spl
| ~ sQ38_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f3759,f1989]) ).
fof(f3882,plain,
( ~ sQ64_spl
| ~ sQ107_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3881,f97]) ).
fof(f3883,plain,
( ~ sQ64_spl
| ~ sQ107_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f3882]) ).
fof(f3884,plain,
( ~ sQ27_spl
| ~ sQ158_spl
| ~ sQ87_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1530,f3743]) ).
fof(f3889,plain,
( ~ sQ129_spl
| ~ sQ27_spl
| ~ sQ158_spl
| ~ sQ87_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f3884,f2018]) ).
fof(f3896,plain,
! [X0] :
( ~ sQ129_spl
| ~ sQ27_spl
| ~ sQ158_spl
| ~ sQ87_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f3889,f126]) ).
fof(f3913,plain,
( ~ sQ45_spl
| ~ sQ75_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f3633,f455,f398,f295]) ).
fof(f3955,plain,
( ~ sQ215_spl
| ~ sQ178_spl
| product(e_2,e_3,e_6) ),
inference(resolution,[status(thm)],[f2603,f864]) ).
fof(f3956,plain,
( ~ sQ215_spl
| ~ sQ178_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f3955,f800,f740,f863]) ).
fof(f3957,plain,
( ~ sQ54_spl
| ~ sQ38_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f274,f1382]) ).
fof(f3958,plain,
( ~ sQ129_spl
| ~ sQ27_spl
| ~ sQ158_spl
| ~ sQ87_spl
| ~ sQ38_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f274,f3896]) ).
fof(f3965,plain,
( ~ sQ129_spl
| ~ sQ27_spl
| ~ sQ158_spl
| ~ sQ87_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3958,f92]) ).
fof(f3966,plain,
( ~ sQ129_spl
| ~ sQ27_spl
| ~ sQ158_spl
| ~ sQ87_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f3965]) ).
fof(f3967,plain,
( ~ sQ54_spl
| ~ sQ38_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f3957,f508,f273,f328]) ).
fof(f3968,plain,
( ~ sQ27_spl
| ~ sQ158_spl
| ~ sQ195_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f2912,f3743]) ).
fof(f3969,plain,
( ~ sQ27_spl
| ~ sQ158_spl
| ~ sQ195_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f3968,f343,f800,f677,f235]) ).
fof(f3970,plain,
( ~ sQ167_spl
| ~ sQ198_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f811,f2516]) ).
fof(f3982,plain,
( ~ sQ38_spl
| ~ sQ204_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f3163,f274]) ).
fof(f3983,plain,
( ~ sQ38_spl
| ~ sQ204_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f3982,f517,f829,f273]) ).
fof(f3994,plain,
( ~ sQ38_spl
| ~ sQ107_spl
| ~ sQ172_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f722,f3759]) ).
fof(f3999,plain,
( ~ sQ38_spl
| ~ sQ107_spl
| ~ sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3994,f97]) ).
fof(f4000,plain,
( ~ sQ38_spl
| ~ sQ107_spl
| ~ sQ172_spl ),
inference(contradiction_clause,[status(thm)],[f3999]) ).
fof(f4017,plain,
( ~ sQ205_spl
| ~ sQ112_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f521,f3037]) ).
fof(f4018,plain,
( ~ sQ6_spl
| ~ sQ112_spl
| product(e_4,e_1,e_6) ),
inference(resolution,[status(thm)],[f521,f878]) ).
fof(f4025,plain,
( ~ sQ205_spl
| ~ sQ112_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f4017,f276,f520,f832]) ).
fof(f4026,plain,
( ~ sQ6_spl
| ~ sQ112_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f4018,f282,f520,f164]) ).
fof(f4029,plain,
( ~ sQ167_spl
| ~ sQ198_spl
| sQ214_spl ),
inference(split_clause,[status(thm)],[f3970,f860,f810,f705]) ).
fof(f4053,plain,
( ~ sQ27_spl
| ~ sQ84_spl
| ~ sQ119_spl
| ~ sQ127_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f2211,f2437]) ).
fof(f4058,plain,
( ~ sQ27_spl
| ~ sQ84_spl
| ~ sQ119_spl
| ~ sQ127_spl
| ~ sQ33_spl
| product(e_5,e_2,e_6) ),
inference(resolution,[status(thm)],[f1097,f4053]) ).
fof(f4059,plain,
( ~ sQ27_spl
| ~ sQ84_spl
| ~ sQ119_spl
| ~ sQ127_spl
| ~ sQ33_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f4058,f533,f254,f573,f542,f427,f235]) ).
fof(f4060,plain,
( ~ sQ116_spl
| ~ sQ141_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f2221,f639,f617,f533]) ).
fof(f4061,plain,
( ~ sQ59_spl
| ~ sQ27_spl
| ~ sQ76_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f3487,f267,f401,f235,f343]) ).
fof(f4063,plain,
( ~ sQ101_spl
| ~ sQ127_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f2206,f557,f573,f485]) ).
fof(f4076,plain,
( ~ sQ38_spl
| ~ sQ54_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f1382,f274]) ).
fof(f4077,plain,
( ~ sQ6_spl
| ~ sQ38_spl
| ~ sQ54_spl
| product(e_2,e_1,e_6) ),
inference(resolution,[status(thm)],[f4076,f878]) ).
fof(f4084,plain,
( ~ sQ6_spl
| ~ sQ38_spl
| ~ sQ54_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f4077,f241,f328,f273,f164]) ).
fof(f4089,plain,
( ~ sQ27_spl
| ~ sQ11_spl
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f3381,f82]) ).
fof(f4092,plain,
( ~ sQ27_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4089,f66]) ).
fof(f4093,plain,
( ~ sQ27_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f4092]) ).
fof(f4129,plain,
( ~ sQ154_spl
| ~ sQ195_spl
| product(e_6,e_3,e_5) ),
inference(resolution,[status(thm)],[f801,f2483]) ).
fof(f4140,plain,
( ~ sQ205_spl
| ~ sQ154_spl
| ~ sQ195_spl
| equalish(e_6,e_1) ),
inference(resolution,[status(thm)],[f4129,f3034]) ).
fof(f4145,plain,
( ~ sQ205_spl
| ~ sQ154_spl
| ~ sQ195_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4140,f117]) ).
fof(f4146,plain,
( ~ sQ205_spl
| ~ sQ154_spl
| ~ sQ195_spl ),
inference(contradiction_clause,[status(thm)],[f4145]) ).
fof(f4147,plain,
( ~ sQ38_spl
| ~ sQ105_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1960,f452,f498,f273]) ).
fof(f4148,plain,
( ~ sQ195_spl
| ~ sQ172_spl
| product(e_6,e_3,e_4) ),
inference(resolution,[status(thm)],[f2524,f801]) ).
fof(f4150,plain,
( ~ sQ22_spl
| ~ sQ195_spl
| ~ sQ172_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f4148,f998]) ).
fof(f4156,plain,
( ~ sQ22_spl
| ~ sQ195_spl
| ~ sQ172_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4150,f102]) ).
fof(f4157,plain,
( ~ sQ22_spl
| ~ sQ195_spl
| ~ sQ172_spl ),
inference(contradiction_clause,[status(thm)],[f4156]) ).
fof(f4175,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| product(e_5,e_1,e_6) ),
inference(resolution,[status(thm)],[f901,f274]) ).
fof(f4176,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f4175,f523,f176,f273]) ).
fof(f4199,plain,
( ~ sQ38_spl
| ~ sQ145_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f2373,f274]) ).
fof(f4200,plain,
( ~ sQ38_spl
| ~ sQ145_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f4199,f514,f630,f273]) ).
fof(f4204,plain,
( ~ sQ6_spl
| ~ sQ108_spl
| product(e_2,e_1,e_6) ),
inference(resolution,[status(thm)],[f509,f878]) ).
fof(f4211,plain,
( ~ sQ6_spl
| ~ sQ108_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f4204,f241,f508,f164]) ).
fof(f4217,plain,
( ~ sQ108_spl
| ~ sQ162_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f2717,f509]) ).
fof(f4218,plain,
( ~ sQ108_spl
| ~ sQ162_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4217,f114]) ).
fof(f4219,plain,
( ~ sQ108_spl
| ~ sQ162_spl ),
inference(contradiction_clause,[status(thm)],[f4218]) ).
fof(f4221,plain,
( ~ sQ38_spl
| ~ sQ104_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f496,f1226]) ).
fof(f4229,plain,
( ~ sQ38_spl
| ~ sQ104_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f4221,f395,f495,f273]) ).
fof(f4239,plain,
( ~ sQ205_spl
| ~ sQ38_spl
| ~ sQ107_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f3760,f833]) ).
fof(f4240,plain,
( ~ sQ205_spl
| ~ sQ38_spl
| ~ sQ107_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f4239,f753,f504,f273,f832]) ).
fof(f4241,plain,
( ~ sQ38_spl
| ~ sQ107_spl
| ~ sQ86_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1580,f1990]) ).
fof(f4242,plain,
( ~ sQ38_spl
| ~ sQ107_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4241,f103]) ).
fof(f4243,plain,
( ~ sQ38_spl
| ~ sQ107_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f4242]) ).
fof(f4244,plain,
( ~ sQ205_spl
| ~ sQ170_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f2404,f833]) ).
fof(f4245,plain,
( ~ sQ160_spl
| ~ sQ205_spl
| ~ sQ170_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f4244,f2614]) ).
fof(f4248,plain,
! [X0] :
( ~ sQ205_spl
| ~ sQ170_spl
| ~ product(e_5,e_3,X0)
| equalish(X0,e_4) ),
inference(resolution,[status(thm)],[f4244,f124]) ).
fof(f4250,plain,
( ~ sQ178_spl
| ~ sQ160_spl
| ~ sQ205_spl
| ~ sQ170_spl
| product(e_2,e_3,e_6) ),
inference(resolution,[status(thm)],[f4245,f2603]) ).
fof(f4251,plain,
( ~ sQ166_spl
| ~ sQ160_spl
| ~ sQ205_spl
| ~ sQ170_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f4245,f2649]) ).
fof(f4262,plain,
! [X0] :
( ~ sQ178_spl
| ~ sQ160_spl
| ~ sQ205_spl
| ~ sQ170_spl
| ~ product(e_2,e_3,X0)
| equalish(X0,e_6) ),
inference(resolution,[status(thm)],[f4250,f124]) ).
fof(f4278,plain,
( ~ sQ117_spl
| ~ sQ51_spl
| equalish(e_6,e_5) ),
inference(resolution,[status(thm)],[f319,f1866]) ).
fof(f4284,plain,
( ~ sQ117_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4278,f121]) ).
fof(f4285,plain,
( ~ sQ117_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f4284]) ).
fof(f4286,plain,
( ~ sQ166_spl
| ~ sQ160_spl
| ~ sQ205_spl
| ~ sQ170_spl
| ~ sQ178_spl
| equalish(e_1,e_6) ),
inference(resolution,[status(thm)],[f4262,f4251]) ).
fof(f4288,plain,
( ~ sQ166_spl
| ~ sQ160_spl
| ~ sQ205_spl
| ~ sQ170_spl
| ~ sQ178_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4286,f96]) ).
fof(f4289,plain,
( ~ sQ166_spl
| ~ sQ160_spl
| ~ sQ205_spl
| ~ sQ170_spl
| ~ sQ178_spl ),
inference(contradiction_clause,[status(thm)],[f4288]) ).
fof(f4293,plain,
( ~ sQ205_spl
| ~ sQ177_spl
| product(e_5,e_3,e_6) ),
inference(resolution,[status(thm)],[f2532,f833]) ).
fof(f4294,plain,
( ~ sQ205_spl
| ~ sQ170_spl
| ~ sQ177_spl
| equalish(e_6,e_4) ),
inference(resolution,[status(thm)],[f4293,f4248]) ).
fof(f4300,plain,
( ~ sQ205_spl
| ~ sQ170_spl
| ~ sQ177_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4294,f120]) ).
fof(f4301,plain,
( ~ sQ205_spl
| ~ sQ170_spl
| ~ sQ177_spl ),
inference(contradiction_clause,[status(thm)],[f4300]) ).
fof(f4302,plain,
( ~ sQ166_spl
| ~ sQ160_spl
| ~ sQ205_spl
| ~ sQ170_spl
| ~ sQ179_spl
| product(e_1,e_3,e_6) ),
inference(resolution,[status(thm)],[f3611,f4251]) ).
fof(f4303,plain,
( ~ sQ166_spl
| ~ sQ160_spl
| ~ sQ205_spl
| ~ sQ170_spl
| ~ sQ179_spl
| sQ207_spl ),
inference(split_clause,[status(thm)],[f4302,f838,f743,f715,f832,f683,f702]) ).
fof(f4304,plain,
( ~ sQ205_spl
| ~ sQ170_spl
| ~ sQ174_spl
| product(e_4,e_3,e_6) ),
inference(resolution,[status(thm)],[f2678,f4244]) ).
fof(f4305,plain,
( ~ sQ205_spl
| ~ sQ170_spl
| ~ sQ174_spl
| sQ213_spl ),
inference(split_clause,[status(thm)],[f4304,f857,f728,f715,f832]) ).
fof(f4306,plain,
( ~ sQ108_spl
| ~ sQ106_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1982,f509]) ).
fof(f4307,plain,
( ~ sQ108_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4306,f94]) ).
fof(f4308,plain,
( ~ sQ108_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f4307]) ).
fof(f4324,plain,
( ~ sQ160_spl
| ~ sQ205_spl
| ~ sQ170_spl
| ~ sQ213_spl
| equalish(e_2,e_6) ),
inference(resolution,[status(thm)],[f3064,f4245]) ).
fof(f4325,plain,
( ~ sQ160_spl
| ~ sQ205_spl
| ~ sQ170_spl
| ~ sQ213_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4324,f101]) ).
fof(f4326,plain,
( ~ sQ160_spl
| ~ sQ205_spl
| ~ sQ170_spl
| ~ sQ213_spl ),
inference(contradiction_clause,[status(thm)],[f4325]) ).
fof(f4332,plain,
( ~ sQ166_spl
| ~ sQ22_spl
| equalish(e_6,e_3) ),
inference(resolution,[status(thm)],[f217,f2646]) ).
fof(f4339,plain,
( ~ sQ166_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4332,f119]) ).
fof(f4340,plain,
( ~ sQ166_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f4339]) ).
fof(f4358,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| product(e_5,e_1,e_6) ),
inference(resolution,[status(thm)],[f901,f274]) ).
fof(f4374,plain,
( ~ sQ38_spl
| ~ sQ211_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f2943,f274]) ).
fof(f4375,plain,
( ~ sQ38_spl
| ~ sQ211_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4374,f93]) ).
fof(f4376,plain,
( ~ sQ38_spl
| ~ sQ211_spl ),
inference(contradiction_clause,[status(thm)],[f4375]) ).
fof(f4377,plain,
( ~ sQ113_spl
| ~ sQ139_spl
| ~ sQ45_spl
| equalish(e_5,e_6) ),
inference(resolution,[status(thm)],[f1206,f3664]) ).
fof(f4378,plain,
( ~ sQ113_spl
| ~ sQ139_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4377,f116]) ).
fof(f4379,plain,
( ~ sQ113_spl
| ~ sQ139_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f4378]) ).
fof(f4380,plain,
( ~ sQ77_spl
| ~ sQ166_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f703,f1522]) ).
fof(f4382,plain,
( ~ sQ59_spl
| ~ sQ166_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f703,f1331]) ).
fof(f4391,plain,
( ~ sQ59_spl
| ~ sQ166_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f4382,f267,f702,f343]) ).
fof(f4392,plain,
( ~ sQ77_spl
| ~ sQ166_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f4380,f279,f702,f404]) ).
fof(f4408,plain,
( ~ sQ77_spl
| ~ sQ107_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f505,f1519]) ).
fof(f4409,plain,
( ~ sQ95_spl
| ~ sQ107_spl
| equalish(e_5,e_6) ),
inference(resolution,[status(thm)],[f505,f1680]) ).
fof(f4415,plain,
( ~ sQ77_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4408,f112]) ).
fof(f4416,plain,
( ~ sQ77_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f4415]) ).
fof(f4417,plain,
( ~ sQ95_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4409,f116]) ).
fof(f4418,plain,
( ~ sQ95_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f4417]) ).
fof(f4420,plain,
( ~ sQ151_spl
| ~ sQ84_spl
| ~ sQ119_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1753,f2668]) ).
fof(f4425,plain,
( ~ sQ151_spl
| ~ sQ84_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4420,f100]) ).
fof(f4426,plain,
( ~ sQ151_spl
| ~ sQ84_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f4425]) ).
fof(f4437,plain,
( ~ sQ38_spl
| ~ sQ42_spl
| equalish(e_1,e_6) ),
inference(resolution,[status(thm)],[f1248,f274]) ).
fof(f4438,plain,
( ~ sQ38_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4437,f96]) ).
fof(f4439,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f4438]) ).
fof(f4440,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ105_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f1963,f4358]) ).
fof(f4441,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4440,f94]) ).
fof(f4442,plain,
( ~ sQ38_spl
| ~ sQ10_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f4441]) ).
fof(f4448,plain,
( ~ sQ184_spl
| ~ sQ144_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f628,f2928]) ).
fof(f4456,plain,
( ~ sQ184_spl
| ~ sQ144_spl
| sQ150_spl ),
inference(split_clause,[status(thm)],[f4448,f652,f627,f765]) ).
fof(f4489,plain,
( ~ sQ144_spl
| ~ sQ99_spl
| product(e_3,e_5,e_6) ),
inference(resolution,[status(thm)],[f1923,f628]) ).
fof(f4490,plain,
( ~ sQ144_spl
| ~ sQ99_spl
| sQ152_spl ),
inference(split_clause,[status(thm)],[f4489,f658,f479,f627]) ).
fof(f4491,plain,
$false,
inference(sat_refutation,[status(thm)],[f161,f182,f203,f222,f244,f263,f285,f304,f327,f346,f365,f384,f407,f426,f445,f464,f507,f526,f545,f569,f588,f607,f626,f645,f670,f689,f708,f727,f746,f771,f809,f828,f847,f866,f874,f910,f944,f957,f974,f995,f1015,f1029,f1038,f1072,f1081,f1098,f1104,f1134,f1143,f1160,f1177,f1204,f1220,f1228,f1244,f1252,f1256,f1271,f1288,f1306,f1320,f1342,f1350,f1357,f1359,f1375,f1392,f1404,f1413,f1420,f1427,f1434,f1438,f1446,f1448,f1466,f1475,f1495,f1510,f1518,f1555,f1570,f1578,f1590,f1604,f1613,f1638,f1655,f1685,f1695,f1715,f1716,f1717,f1733,f1743,f1763,f1771,f1772,f1774,f1784,f1824,f1826,f1828,f1852,f1859,f1871,f1882,f1891,f1899,f1909,f1933,f1935,f1937,f1939,f1947,f1949,f1956,f1958,f1967,f1977,f1986,f1987,f1988,f1999,f2010,f2020,f2028,f2030,f2037,f2048,f2067,f2068,f2072,f2074,f2081,f2096,f2103,f2109,f2122,f2140,f2149,f2150,f2185,f2196,f2205,f2213,f2220,f2240,f2273,f2280,f2296,f2304,f2323,f2332,f2342,f2351,f2353,f2354,f2355,f2358,f2375,f2377,f2391,f2399,f2406,f2413,f2415,f2431,f2457,f2459,f2470,f2471,f2478,f2484,f2491,f2501,f2509,f2517,f2519,f2526,f2547,f2570,f2580,f2588,f2605,f2617,f2625,f2643,f2664,f2672,f2680,f2689,f2691,f2693,f2695,f2697,f2722,f2729,f2739,f2741,f2742,f2744,f2746,f2786,f2814,f2831,f2839,f2847,f2861,f2872,f2873,f2884,f2907,f2914,f2922,f2929,f2947,f2958,f2967,f2984,f2992,f3000,f3009,f3016,f3027,f3029,f3038,f3041,f3049,f3059,f3068,f3077,f3094,f3103,f3116,f3147,f3165,f3176,f3205,f3206,f3208,f3211,f3212,f3214,f3224,f3242,f3253,f3258,f3260,f3281,f3283,f3284,f3301,f3305,f3315,f3318,f3321,f3323,f3353,f3366,f3367,f3368,f3371,f3374,f3376,f3444,f3449,f3452,f3462,f3464,f3468,f3472,f3483,f3495,f3508,f3546,f3549,f3563,f3601,f3615,f3618,f3630,f3646,f3656,f3674,f3676,f3699,f3716,f3738,f3756,f3773,f3782,f3793,f3802,f3803,f3865,f3866,f3867,f3883,f3913,f3956,f3966,f3967,f3969,f3983,f4000,f4025,f4026,f4029,f4059,f4060,f4061,f4063,f4084,f4093,f4146,f4147,f4157,f4176,f4200,f4211,f4219,f4229,f4240,f4243,f4285,f4289,f4301,f4303,f4305,f4308,f4326,f4340,f4376,f4379,f4391,f4392,f4416,f4418,f4426,f4439,f4442,f4456,f4490]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP127-2.006 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:00:10 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 65.74/8.75 % Refutation found
% 65.74/8.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 65.74/8.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 65.74/8.78 % Elapsed time: 8.420387 seconds
% 65.74/8.78 % CPU time: 66.326912 seconds
% 65.74/8.78 % Total memory used: 107.154 MB
% 65.74/8.78 % Net memory used: 93.008 MB
%------------------------------------------------------------------------------