%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP125-3.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 12:35:50 PM UTC 2026
% Result : Satisfiable 0.14s 0.50s
% Output : Saturation 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
next(e_0,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
next(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
greater(e_4,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
greater(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,Z] :
( equalish(Y,Z)
| ~ cycle(X,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] :
( cycle(X,e_3)
| cycle(X,e_2)
| cycle(X,e_1)
| cycle(X,e_0)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
cycle(e_4,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y,W,Z,Z1] :
( equalish(Y,Z1)
| ~ next(Z,Z1)
| ~ greater(Y,e_0)
| ~ next(X,W)
| ~ cycle(W,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Z1,Y,W,Z2] :
( ~ greater(Z1,Z2)
| ~ greater(Y,X)
| ~ next(Y,W)
| ~ cycle(W,Z2)
| ~ cycle(Y,e_0)
| ~ cycle(X,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X,Y] :
( ~ greater(Y,X)
| ~ product(X,e_1,Y)
| ~ cycle(X,e_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y,Z,X1] :
( equalish(Z,X1)
| ~ next(X,X1)
| ~ greater(Y,e_0)
| ~ product(X,e_1,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [X,Y] :
( 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/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [X,Y,Z1,Z2] :
( product(Z1,Z2,X)
| ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,plain,
next(e_0,e_1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
next(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f46,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f47,plain,
next(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f48,plain,
greater(e_1,e_0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f49,plain,
greater(e_2,e_0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f50,plain,
greater(e_3,e_0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f51,plain,
greater(e_4,e_0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f52,plain,
greater(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f53,plain,
greater(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f54,plain,
greater(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f55,plain,
greater(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f56,plain,
greater(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f57,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f58,plain,
! [Y,Z] :
( equalish(Y,Z)
| ! [X] :
( ~ cycle(X,Z)
| ~ cycle(X,Y) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f59,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ cycle(X0,X2)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f60,plain,
! [X0] :
( cycle(X0,e_3)
| cycle(X0,e_2)
| cycle(X0,e_1)
| cycle(X0,e_0)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f61,plain,
cycle(e_4,e_0),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f62,plain,
! [Y,Z1] :
( equalish(Y,Z1)
| ! [Z] :
( ~ next(Z,Z1)
| ~ greater(Y,e_0)
| ! [X,W] :
( ~ next(X,W)
| ~ cycle(W,Z)
| ~ cycle(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f63,plain,
! [X0,X1,X2,X3,X4] :
( equalish(X1,X4)
| ~ next(X3,X4)
| ~ greater(X1,e_0)
| ~ next(X0,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
! [Z1,Z2] :
( ~ greater(Z1,Z2)
| ! [X,Y] :
( ~ greater(Y,X)
| ! [W] :
( ~ next(Y,W)
| ~ cycle(W,Z2)
| ~ cycle(Y,e_0)
| ~ cycle(X,Z1) ) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4] :
( ~ greater(X1,X4)
| ~ greater(X2,X0)
| ~ next(X2,X3)
| ~ cycle(X3,X4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ product(X0,e_1,X1)
| ~ cycle(X0,e_0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f67,plain,
! [Z,X1] :
( equalish(Z,X1)
| ! [X] :
( ~ next(X,X1)
| ! [Y] :
( ~ greater(Y,e_0)
| ~ product(X,e_1,Z)
| ~ cycle(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ next(X0,X3)
| ~ greater(X1,e_0)
| ~ product(X0,e_1,X2)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f70,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f71,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f72,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f73,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f74,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f75,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f76,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f77,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f78,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f79,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f80,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f81,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f82,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f83,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f84,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f85,plain,
! [X0,X1] :
( product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f86,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f88,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f88]) ).
fof(f90,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
fof(f92,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f93,plain,
! [X,Z1,Z2] :
( product(Z1,Z2,X)
| ! [Y] :
( ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( product(X2,X3,X0)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f92,f87]) ).
fof(f96,plain,
! [X0,X1] :
( product(X1,X0,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f92,f94]) ).
fof(f97,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f95,f92]) ).
fof(f98,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f89,f92]) ).
fof(f99,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f91,f92]) ).
fof(f100,plain,
( cycle(e_3,e_3)
| cycle(e_3,e_2)
| cycle(e_3,e_1)
| cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f60,f71]) ).
fof(f101,plain,
( cycle(e_2,e_3)
| cycle(e_2,e_2)
| cycle(e_2,e_1)
| cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f60,f70]) ).
fof(f102,plain,
( cycle(e_1,e_3)
| cycle(e_1,e_2)
| cycle(e_1,e_1)
| cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f60,f69]) ).
fof(f103,definition,
( sQ0_spl
<=> cycle(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( ~ sQ0_spl
| cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f105,plain,
( sQ0_spl
| ~ cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,definition,
( sQ1_spl
<=> cycle(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( ~ sQ1_spl
| cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f108,plain,
( sQ1_spl
| ~ cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,definition,
( sQ2_spl
<=> cycle(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( ~ sQ2_spl
| cycle(e_3,e_2) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f111,plain,
( sQ2_spl
| ~ cycle(e_3,e_2) ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,definition,
( sQ3_spl
<=> cycle(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( ~ sQ3_spl
| cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f114,plain,
( sQ3_spl
| ~ cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f100,f103,f106,f109,f112]) ).
fof(f116,definition,
( sQ4_spl
<=> cycle(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( ~ sQ4_spl
| cycle(e_2,e_0) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f118,plain,
( sQ4_spl
| ~ cycle(e_2,e_0) ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,definition,
( sQ5_spl
<=> cycle(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( ~ sQ5_spl
| cycle(e_2,e_1) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f121,plain,
( sQ5_spl
| ~ cycle(e_2,e_1) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,definition,
( sQ6_spl
<=> cycle(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f123,plain,
( ~ sQ6_spl
| cycle(e_2,e_2) ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f124,plain,
( sQ6_spl
| ~ cycle(e_2,e_2) ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,definition,
( sQ7_spl
<=> cycle(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ7_spl
| cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f127,plain,
( sQ7_spl
| ~ cycle(e_2,e_3) ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f101,f116,f119,f122,f125]) ).
fof(f129,definition,
( sQ8_spl
<=> cycle(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ8_spl
| cycle(e_1,e_0) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,definition,
( sQ9_spl
<=> cycle(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( ~ sQ9_spl
| cycle(e_1,e_1) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f134,plain,
( sQ9_spl
| ~ cycle(e_1,e_1) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,definition,
( sQ10_spl
<=> cycle(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( ~ sQ10_spl
| cycle(e_1,e_2) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f137,plain,
( sQ10_spl
| ~ cycle(e_1,e_2) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,definition,
( sQ11_spl
<=> cycle(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( ~ sQ11_spl
| cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f140,plain,
( sQ11_spl
| ~ cycle(e_1,e_3) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f102,f129,f132,f135,f138]) ).
fof(f142,plain,
! [X0] :
( product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f85,f71]) ).
fof(f143,plain,
! [X0] :
( product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f85,f70]) ).
fof(f144,plain,
! [X0] :
( product(e_1,X0,e_4)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f85,f69]) ).
fof(f145,plain,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f142,f71]) ).
fof(f146,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f142,f70]) ).
fof(f147,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f142,f69]) ).
fof(f148,definition,
( sQ12_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( ~ sQ12_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f150,plain,
( sQ12_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f151,definition,
( sQ13_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f152,plain,
( ~ sQ13_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f153,plain,
( sQ13_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,definition,
( sQ14_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f157,definition,
( sQ15_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ15_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f159,plain,
( sQ15_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f157]) ).
fof(f160,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f145,f148,f151,f154,f157]) ).
fof(f161,definition,
( sQ16_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( ~ sQ16_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f163,plain,
( sQ16_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,definition,
( sQ17_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( ~ sQ17_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f166,plain,
( sQ17_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,definition,
( sQ18_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f168,plain,
( ~ sQ18_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f169,plain,
( sQ18_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,definition,
( sQ19_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( ~ sQ19_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f172,plain,
( sQ19_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f146,f161,f164,f167,f170]) ).
fof(f174,definition,
( sQ20_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ20_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f176,plain,
( sQ20_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,definition,
( sQ21_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ21_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f179,plain,
( sQ21_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,definition,
( sQ22_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( ~ sQ22_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f182,plain,
( sQ22_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,definition,
( sQ23_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( ~ sQ23_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f185,plain,
( sQ23_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f183]) ).
fof(f186,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f147,f174,f177,f180,f183]) ).
fof(f187,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f143,f71]) ).
fof(f188,plain,
( product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f143,f70]) ).
fof(f189,plain,
( product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f143,f69]) ).
fof(f190,definition,
( sQ24_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ24_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f192,plain,
( sQ24_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,definition,
( sQ25_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ25_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f195,plain,
( sQ25_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,definition,
( sQ26_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ26_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f198,plain,
( sQ26_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
( sQ27_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ27_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f201,plain,
( sQ27_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f187,f190,f193,f196,f199]) ).
fof(f203,definition,
( sQ28_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ28_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f205,plain,
( sQ28_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,definition,
( sQ29_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f209,definition,
( sQ30_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ30_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f211,plain,
( sQ30_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ31_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ31_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f214,plain,
( sQ31_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f188,f203,f206,f209,f212]) ).
fof(f216,definition,
( sQ32_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ32_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f218,plain,
( sQ32_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,definition,
( sQ33_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ33_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f221,plain,
( sQ33_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,definition,
( sQ34_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ34_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f224,plain,
( sQ34_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,definition,
( sQ35_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ35_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f227,plain,
( sQ35_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f189,f216,f219,f222,f225]) ).
fof(f229,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f144,f71]) ).
fof(f230,plain,
( product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f144,f70]) ).
fof(f231,plain,
( product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f144,f69]) ).
fof(f232,definition,
( sQ36_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ36_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f234,plain,
( sQ36_spl
| ~ product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,definition,
( sQ37_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ37_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f237,plain,
( sQ37_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ38_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ38_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f240,plain,
( sQ38_spl
| ~ product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
( sQ39_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ39_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f243,plain,
( sQ39_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f229,f232,f235,f238,f241]) ).
fof(f245,definition,
( sQ40_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( ~ sQ40_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f247,plain,
( sQ40_spl
| ~ product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f245]) ).
fof(f248,definition,
( sQ41_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ41_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f250,plain,
( sQ41_spl
| ~ product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,definition,
( sQ42_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( ~ sQ42_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f253,plain,
( sQ42_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,definition,
( sQ43_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ43_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( sQ43_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f230,f245,f248,f251,f254]) ).
fof(f258,definition,
( sQ44_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f261,definition,
( sQ45_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f262,plain,
( ~ sQ45_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f263,plain,
( sQ45_spl
| ~ product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,definition,
( sQ46_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ46_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f266,plain,
( sQ46_spl
| ~ product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,definition,
( sQ47_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( ~ sQ47_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f269,plain,
( sQ47_spl
| ~ product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f231,f258,f261,f264,f267]) ).
fof(f274,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f72,f144]) ).
fof(f275,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f72,f143]) ).
fof(f276,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f72,f142]) ).
fof(f277,plain,
! [X0] :
( product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f72,f85]) ).
fof(f279,definition,
( sQ48_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f280,plain,
( ~ sQ48_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( sQ48_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,definition,
( sQ49_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ49_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f284,plain,
( sQ49_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,definition,
( sQ50_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ50_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f287,plain,
( sQ50_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,definition,
( sQ51_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ51_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f290,plain,
( sQ51_spl
| ~ product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f274,f279,f282,f285,f288]) ).
fof(f292,definition,
( sQ52_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f293,plain,
( ~ sQ52_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f294,plain,
( sQ52_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f295,definition,
( sQ53_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ53_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f297,plain,
( sQ53_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,definition,
( sQ54_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ54_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f300,plain,
( sQ54_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,definition,
( sQ55_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ55_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f303,plain,
( sQ55_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f275,f292,f295,f298,f301]) ).
fof(f305,definition,
( sQ56_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ56_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f307,plain,
( sQ56_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,definition,
( sQ57_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ57_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f310,plain,
( sQ57_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,definition,
( sQ58_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ58_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f313,plain,
( sQ58_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,definition,
( sQ59_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ59_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f316,plain,
( sQ59_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f276,f305,f308,f311,f314]) ).
fof(f318,definition,
( sQ60_spl
<=> cycle(e_4,e_0) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f320,plain,
( sQ60_spl
| ~ cycle(e_4,e_0) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,definition,
( sQ61_spl
<=> cycle(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ61_spl
| cycle(e_4,e_1) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f323,plain,
( sQ61_spl
| ~ cycle(e_4,e_1) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,definition,
( sQ62_spl
<=> cycle(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ62_spl
| cycle(e_4,e_2) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f326,plain,
( sQ62_spl
| ~ cycle(e_4,e_2) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,definition,
( sQ63_spl
<=> cycle(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f328,plain,
( ~ sQ63_spl
| cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f329,plain,
( sQ63_spl
| ~ cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f331,plain,
( product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f277,f72]) ).
fof(f332,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f277,f71]) ).
fof(f333,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f277,f70]) ).
fof(f334,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f277,f69]) ).
fof(f335,definition,
( sQ64_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( ~ sQ64_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f337,plain,
( sQ64_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,definition,
( sQ65_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ65_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f340,plain,
( sQ65_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,definition,
( sQ66_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( ~ sQ66_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f343,plain,
( sQ66_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,definition,
( sQ67_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f347,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f331,f335,f338,f341,f344]) ).
fof(f348,definition,
( sQ68_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ68_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( sQ68_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,definition,
( sQ69_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ69_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f353,plain,
( sQ69_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,definition,
( sQ70_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ70_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f356,plain,
( sQ70_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,definition,
( sQ71_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ71_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f359,plain,
( sQ71_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f332,f348,f351,f354,f357]) ).
fof(f361,definition,
( sQ72_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ72_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f363,plain,
( sQ72_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,definition,
( sQ73_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ73_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f366,plain,
( sQ73_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ74_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ74_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f369,plain,
( sQ74_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,definition,
( sQ75_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ75_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f372,plain,
( sQ75_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f333,f361,f364,f367,f370]) ).
fof(f374,definition,
( sQ76_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( ~ sQ76_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f376,plain,
( sQ76_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,definition,
( sQ77_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ77_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f379,plain,
( sQ77_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,definition,
( sQ78_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ78_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f382,plain,
( sQ78_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ79_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ79_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f385,plain,
( sQ79_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f334,f374,f377,f380,f383]) ).
fof(f387,plain,
! [X0] :
( equalish(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f61,f59]) ).
fof(f388,plain,
! [X0,X1,X2] :
( equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f63,f61]) ).
fof(f389,plain,
! [X0,X1] :
( ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ next(e_4,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f65,f61]) ).
fof(f390,plain,
! [X0,X1,X2,X3] :
( ~ greater(X1,X3)
| ~ greater(e_4,X0)
| ~ next(e_4,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f65,f61]) ).
fof(f391,plain,
! [X0,X1,X2] :
( ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f65,f61]) ).
fof(f392,definition,
! [X0,X1] :
( sQ80_spl
<=> ( ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f393,plain,
! [X0,X1] :
( ~ sQ80_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ81_spl
<=> next(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f397,plain,
( sQ81_spl
| ~ next(e_4,e_4) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( ~ sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f389,f392,f395]) ).
fof(f399,plain,
( ~ greater(e_1,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f66,f92]) ).
fof(f400,definition,
( sQ82_spl
<=> greater(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( sQ82_spl
| ~ greater(e_1,e_1) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( ~ sQ82_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f399,f129,f400]) ).
fof(f404,plain,
! [X0,X1] :
( equalish(e_1,X1)
| ~ next(e_1,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f68,f92]) ).
fof(f405,definition,
! [X0] :
( sQ83_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f406,plain,
! [X0] :
( ~ sQ83_spl
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
! [X1] :
( sQ84_spl
<=> ( equalish(e_1,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f409,plain,
! [X0] :
( ~ sQ84_spl
| equalish(e_1,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( sQ84_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f404,f405,f408]) ).
fof(f412,plain,
( ~ sQ84_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f409,f45]) ).
fof(f413,plain,
( ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f412,f73]) ).
fof(f414,plain,
~ sQ84_spl,
inference(contradiction_clause,[status(thm)],[f413]) ).
fof(f415,plain,
( ~ sQ83_spl
| ~ sQ11_spl
| ~ greater(e_3,e_0) ),
inference(resolution,[status(thm)],[f139,f406]) ).
fof(f416,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f139,f65]) ).
fof(f417,plain,
! [X0,X1,X2] :
( ~ sQ11_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f139,f63]) ).
fof(f418,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f139,f59]) ).
fof(f419,plain,
( ~ sQ83_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f415,f50]) ).
fof(f420,plain,
( ~ sQ83_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f419]) ).
fof(f421,plain,
( ~ sQ83_spl
| ~ sQ10_spl
| ~ greater(e_2,e_0) ),
inference(resolution,[status(thm)],[f136,f406]) ).
fof(f422,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f136,f65]) ).
fof(f423,plain,
! [X0,X1,X2] :
( ~ sQ10_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f136,f63]) ).
fof(f424,plain,
! [X0] :
( ~ sQ10_spl
| equalish(X0,e_2)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f136,f59]) ).
fof(f425,plain,
( ~ sQ83_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f421,f49]) ).
fof(f426,plain,
( ~ sQ83_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f425]) ).
fof(f427,plain,
( ~ sQ83_spl
| ~ sQ9_spl
| ~ greater(e_1,e_0) ),
inference(resolution,[status(thm)],[f133,f406]) ).
fof(f428,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f133,f65]) ).
fof(f429,plain,
! [X0,X1,X2] :
( ~ sQ9_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f133,f63]) ).
fof(f430,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_1)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f133,f59]) ).
fof(f431,plain,
( ~ sQ83_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f427,f48]) ).
fof(f432,plain,
( ~ sQ83_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f431]) ).
fof(f433,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f126,f65]) ).
fof(f434,plain,
! [X0,X1,X2] :
( ~ sQ7_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f126,f63]) ).
fof(f435,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f126,f59]) ).
fof(f436,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f123,f65]) ).
fof(f437,plain,
! [X0,X1,X2] :
( ~ sQ6_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f123,f63]) ).
fof(f438,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f123,f59]) ).
fof(f439,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f120,f65]) ).
fof(f440,plain,
! [X0,X1,X2] :
( ~ sQ5_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f120,f63]) ).
fof(f441,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_1)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f120,f59]) ).
fof(f442,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ next(e_2,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f117,f65]) ).
fof(f443,plain,
! [X0,X1,X2,X3] :
( ~ sQ4_spl
| ~ greater(X1,X3)
| ~ greater(e_2,X0)
| ~ next(e_2,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f117,f65]) ).
fof(f445,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_2)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f117,f65]) ).
fof(f446,plain,
! [X0,X1,X2] :
( ~ sQ4_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f117,f63]) ).
fof(f447,plain,
! [X0] :
( ~ sQ4_spl
| equalish(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f117,f59]) ).
fof(f448,definition,
! [X0,X1] :
( sQ85_spl
<=> ( ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f449,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,definition,
( sQ86_spl
<=> next(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( sQ86_spl
| ~ next(e_2,e_2) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( ~ sQ4_spl
| ~ sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f442,f448,f451,f116]) ).
fof(f456,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f113,f65]) ).
fof(f457,plain,
! [X0,X1,X2] :
( ~ sQ3_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f113,f63]) ).
fof(f458,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_3)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f113,f59]) ).
fof(f459,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| ~ greater(X1,e_3)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f328,f65]) ).
fof(f460,plain,
! [X0,X1,X2] :
( ~ sQ63_spl
| equalish(X1,X2)
| ~ next(e_3,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f328,f63]) ).
fof(f461,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f328,f59]) ).
fof(f462,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f325,f65]) ).
fof(f463,plain,
! [X0,X1,X2] :
( ~ sQ62_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f325,f63]) ).
fof(f464,plain,
! [X0] :
( ~ sQ62_spl
| equalish(X0,e_2)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f325,f59]) ).
fof(f465,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_4)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f322,f65]) ).
fof(f466,plain,
! [X0,X1,X2] :
( ~ sQ61_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f322,f63]) ).
fof(f467,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_1)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f322,f59]) ).
fof(f468,plain,
( ~ sQ61_spl
| equalish(e_1,e_0) ),
inference(resolution,[status(thm)],[f387,f322]) ).
fof(f469,plain,
( ~ sQ62_spl
| equalish(e_2,e_0) ),
inference(resolution,[status(thm)],[f387,f325]) ).
fof(f470,plain,
( ~ sQ63_spl
| equalish(e_3,e_0) ),
inference(resolution,[status(thm)],[f387,f328]) ).
fof(f472,plain,
! [X0] :
( ~ sQ3_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f388,f113]) ).
fof(f473,plain,
! [X0] :
( ~ sQ5_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f388,f120]) ).
fof(f474,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f388,f123]) ).
fof(f475,plain,
! [X0] :
( ~ sQ7_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f388,f126]) ).
fof(f476,plain,
! [X0] :
( ~ sQ61_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f388,f322]) ).
fof(f477,plain,
! [X0] :
( ~ sQ62_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f388,f325]) ).
fof(f478,plain,
! [X0] :
( ~ sQ63_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f388,f328]) ).
fof(f479,plain,
! [X0] :
( equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_4) ),
inference(resolution,[status(thm)],[f388,f61]) ).
fof(f480,definition,
( sQ87_spl
<=> next(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( sQ87_spl
| ~ next(e_3,e_4) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,definition,
( sQ88_spl
<=> greater(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( sQ88_spl
| ~ greater(e_3,e_0) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,definition,
! [X0] :
( sQ89_spl
<=> ( equalish(e_3,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f487,plain,
! [X0] :
( ~ sQ89_spl
| equalish(e_3,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( ~ sQ3_spl
| sQ89_spl
| ~ sQ88_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f472,f480,f483,f486,f112]) ).
fof(f490,definition,
( sQ90_spl
<=> next(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( sQ90_spl
| ~ next(e_2,e_4) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ91_spl
<=> greater(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( sQ91_spl
| ~ greater(e_1,e_0) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,definition,
! [X0] :
( sQ92_spl
<=> ( equalish(e_1,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f497,plain,
! [X0] :
( ~ sQ92_spl
| equalish(e_1,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( ~ sQ5_spl
| sQ92_spl
| ~ sQ91_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f473,f490,f493,f496,f119]) ).
fof(f500,definition,
( sQ93_spl
<=> greater(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f502,plain,
( sQ93_spl
| ~ greater(e_2,e_0) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
! [X0] :
( sQ94_spl
<=> ( equalish(e_2,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f504,plain,
! [X0] :
( ~ sQ94_spl
| equalish(e_2,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( ~ sQ6_spl
| sQ94_spl
| ~ sQ93_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f474,f490,f500,f503,f122]) ).
fof(f507,plain,
( ~ sQ7_spl
| sQ89_spl
| ~ sQ88_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f475,f490,f483,f486,f125]) ).
fof(f508,plain,
( ~ sQ61_spl
| sQ92_spl
| ~ sQ91_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f476,f395,f493,f496,f321]) ).
fof(f509,plain,
( ~ sQ62_spl
| sQ94_spl
| ~ sQ93_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f477,f395,f500,f503,f324]) ).
fof(f510,plain,
( ~ sQ63_spl
| sQ89_spl
| ~ sQ88_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f478,f395,f483,f486,f327]) ).
fof(f511,definition,
( sQ95_spl
<=> greater(e_0,e_0) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( sQ95_spl
| ~ greater(e_0,e_0) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,definition,
! [X0] :
( sQ96_spl
<=> ( equalish(e_0,X0)
| ~ next(e_0,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f515,plain,
! [X0] :
( ~ sQ96_spl
| equalish(e_0,X0)
| ~ next(e_0,X0) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,plain,
( sQ96_spl
| ~ sQ95_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f479,f395,f511,f514]) ).
fof(f518,plain,
( sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f485,f50]) ).
fof(f519,plain,
sQ88_spl,
inference(contradiction_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f502,f49]) ).
fof(f521,plain,
sQ93_spl,
inference(contradiction_clause,[status(thm)],[f520]) ).
fof(f522,plain,
( sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f495,f48]) ).
fof(f523,plain,
sQ91_spl,
inference(contradiction_clause,[status(thm)],[f522]) ).
fof(f524,plain,
( sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f47]) ).
fof(f525,plain,
sQ87_spl,
inference(contradiction_clause,[status(thm)],[f524]) ).
fof(f526,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ next(e_4,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f390,f126]) ).
fof(f527,plain,
! [X0,X1] :
( ~ sQ61_spl
| ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ next(e_4,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f390,f322]) ).
fof(f528,plain,
! [X0,X1] :
( ~ sQ62_spl
| ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ next(e_4,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f390,f325]) ).
fof(f529,plain,
! [X0,X1] :
( ~ sQ63_spl
| ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ next(e_4,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f390,f328]) ).
fof(f531,definition,
! [X0,X1] :
( sQ97_spl
<=> ( ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f532,plain,
! [X0,X1] :
( ~ sQ97_spl
| ~ greater(X1,e_3)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,definition,
( sQ98_spl
<=> next(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f536,plain,
( sQ98_spl
| ~ next(e_4,e_2) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( ~ sQ7_spl
| ~ sQ98_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f526,f531,f534,f125]) ).
fof(f538,definition,
! [X0,X1] :
( sQ99_spl
<=> ( ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f539,plain,
! [X0,X1] :
( ~ sQ99_spl
| ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( ~ sQ61_spl
| ~ sQ81_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f527,f538,f395,f321]) ).
fof(f542,definition,
! [X0,X1] :
( sQ100_spl
<=> ( ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f543,plain,
! [X0,X1] :
( ~ sQ100_spl
| ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f545,plain,
( ~ sQ62_spl
| ~ sQ81_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f528,f542,f395,f324]) ).
fof(f546,plain,
( ~ sQ63_spl
| ~ sQ81_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f529,f531,f395,f327]) ).
fof(f548,plain,
( ~ sQ83_spl
| ~ sQ8_spl
| ~ greater(e_0,e_0) ),
inference(resolution,[status(thm)],[f130,f406]) ).
fof(f549,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ next(e_1,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f130,f65]) ).
fof(f550,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| ~ greater(X1,X3)
| ~ greater(e_1,X0)
| ~ next(e_1,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f130,f65]) ).
fof(f551,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ next(e_4,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f130,f390]) ).
fof(f552,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_4) ),
inference(resolution,[status(thm)],[f130,f388]) ).
fof(f554,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_1)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f130,f65]) ).
fof(f555,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f130,f63]) ).
fof(f556,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f130,f59]) ).
fof(f557,definition,
! [X0,X1] :
( sQ101_spl
<=> ( ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f558,plain,
! [X0,X1] :
( ~ sQ101_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f557]) ).
fof(f560,definition,
( sQ102_spl
<=> next(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f562,plain,
( sQ102_spl
| ~ next(e_1,e_1) ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,plain,
( ~ sQ8_spl
| ~ sQ102_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f549,f557,f560,f129]) ).
fof(f564,definition,
( sQ103_spl
<=> next(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f566,plain,
( sQ103_spl
| ~ next(e_4,e_1) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( ~ sQ8_spl
| ~ sQ103_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f551,f392,f564,f129]) ).
fof(f568,definition,
( sQ104_spl
<=> next(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f570,plain,
( sQ104_spl
| ~ next(e_1,e_4) ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,plain,
( ~ sQ8_spl
| sQ96_spl
| ~ sQ95_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f552,f568,f511,f514,f129]) ).
fof(f573,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ next(e_1,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f391,f130]) ).
fof(f575,plain,
( ~ sQ8_spl
| ~ sQ104_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f573,f557,f568,f129]) ).
fof(f577,plain,
( ~ sQ8_spl
| ~ sQ80_spl
| ~ greater(e_0,e_0)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f393,f130]) ).
fof(f578,plain,
( ~ sQ80_spl
| ~ greater(e_0,e_0)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f393,f61]) ).
fof(f579,definition,
( sQ105_spl
<=> greater(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f581,plain,
( sQ105_spl
| ~ greater(e_4,e_1) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,plain,
( ~ sQ8_spl
| ~ sQ80_spl
| ~ sQ95_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f577,f579,f511,f392,f129]) ).
fof(f583,definition,
( sQ106_spl
<=> greater(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f585,plain,
( sQ106_spl
| ~ greater(e_4,e_4) ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f586,plain,
( ~ sQ80_spl
| ~ sQ95_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f578,f583,f511,f392]) ).
fof(f587,plain,
( sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f581,f54]) ).
fof(f588,plain,
sQ105_spl,
inference(contradiction_clause,[status(thm)],[f587]) ).
fof(f589,plain,
( ~ sQ80_spl
| ~ sQ2_spl
| ~ greater(e_2,e_0)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f110,f393]) ).
fof(f590,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ next(e_4,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f110,f390]) ).
fof(f591,plain,
! [X0] :
( ~ sQ2_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f110,f388]) ).
fof(f592,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ greater(X1,e_2)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f110,f65]) ).
fof(f593,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| equalish(X1,X2)
| ~ next(e_2,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f110,f63]) ).
fof(f594,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_2)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f110,f59]) ).
fof(f595,definition,
( sQ107_spl
<=> greater(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f597,plain,
( sQ107_spl
| ~ greater(e_4,e_3) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,plain,
( ~ sQ80_spl
| ~ sQ2_spl
| ~ sQ93_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f589,f595,f500,f109,f392]) ).
fof(f599,definition,
( sQ108_spl
<=> next(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( sQ108_spl
| ~ next(e_4,e_3) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,plain,
( ~ sQ2_spl
| ~ sQ108_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f590,f542,f599,f109]) ).
fof(f603,plain,
( ~ sQ2_spl
| sQ94_spl
| ~ sQ93_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f591,f480,f500,f503,f109]) ).
fof(f604,plain,
( sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f597,f57]) ).
fof(f605,plain,
sQ107_spl,
inference(contradiction_clause,[status(thm)],[f604]) ).
fof(f606,plain,
( ~ sQ80_spl
| ~ sQ1_spl
| ~ greater(e_1,e_0)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f107,f393]) ).
fof(f607,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ next(e_4,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f107,f390]) ).
fof(f608,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f107,f388]) ).
fof(f609,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ greater(X1,e_1)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f107,f65]) ).
fof(f610,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| equalish(X1,X2)
| ~ next(e_1,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f107,f63]) ).
fof(f611,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_1)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f107,f59]) ).
fof(f612,plain,
( ~ sQ80_spl
| ~ sQ1_spl
| ~ sQ91_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f606,f595,f493,f106,f392]) ).
fof(f613,plain,
( ~ sQ1_spl
| ~ sQ108_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f607,f538,f599,f106]) ).
fof(f614,plain,
( ~ sQ1_spl
| sQ92_spl
| ~ sQ91_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f608,f480,f493,f496,f106]) ).
fof(f615,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ next(e_3,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f104,f391]) ).
fof(f616,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ next(e_3,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f104,f65]) ).
fof(f617,plain,
! [X0,X1,X2,X3] :
( ~ sQ0_spl
| ~ greater(X1,X3)
| ~ greater(e_3,X0)
| ~ next(e_3,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f104,f65]) ).
fof(f618,plain,
( ~ sQ80_spl
| ~ sQ0_spl
| ~ greater(e_0,e_0)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f104,f393]) ).
fof(f619,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ next(e_4,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f104,f390]) ).
fof(f620,plain,
! [X0] :
( ~ sQ0_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_4) ),
inference(resolution,[status(thm)],[f104,f388]) ).
fof(f622,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ greater(X1,e_0)
| ~ greater(X2,X0)
| ~ next(X2,e_3)
| ~ cycle(X2,e_0)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f104,f65]) ).
fof(f623,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| equalish(X1,X2)
| ~ next(e_0,X2)
| ~ greater(X1,e_0)
| ~ next(X0,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f104,f63]) ).
fof(f624,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f104,f59]) ).
fof(f625,definition,
! [X0,X1] :
( sQ109_spl
<=> ( ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f626,plain,
! [X0,X1] :
( ~ sQ109_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,plain,
( ~ sQ0_spl
| ~ sQ87_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f615,f625,f480,f103]) ).
fof(f629,definition,
( sQ110_spl
<=> next(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( sQ110_spl
| ~ next(e_3,e_3) ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,plain,
( ~ sQ0_spl
| ~ sQ110_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f616,f625,f629,f103]) ).
fof(f633,plain,
( ~ sQ80_spl
| ~ sQ0_spl
| ~ sQ95_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f618,f595,f511,f103,f392]) ).
fof(f634,plain,
( ~ sQ0_spl
| ~ sQ108_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f619,f392,f599,f103]) ).
fof(f635,plain,
( ~ sQ0_spl
| sQ96_spl
| ~ sQ95_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f620,f480,f511,f514,f103]) ).
fof(f637,plain,
( ~ sQ80_spl
| ~ sQ6_spl
| ~ greater(e_2,e_0)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f123,f393]) ).
fof(f638,plain,
! [X0,X1] :
( ~ sQ6_spl
| ~ greater(X1,e_2)
| ~ greater(e_4,X0)
| ~ next(e_4,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f123,f390]) ).
fof(f643,definition,
( sQ111_spl
<=> greater(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f645,plain,
( sQ111_spl
| ~ greater(e_4,e_2) ),
inference(component_clause,[status(thm)],[f643]) ).
fof(f646,plain,
( ~ sQ80_spl
| ~ sQ6_spl
| ~ sQ93_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f637,f643,f500,f122,f392]) ).
fof(f647,plain,
( ~ sQ6_spl
| ~ sQ98_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f638,f542,f534,f122]) ).
fof(f649,plain,
( sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f645,f56]) ).
fof(f650,plain,
sQ111_spl,
inference(contradiction_clause,[status(thm)],[f649]) ).
fof(f651,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ greater(X1,e_0)
| ~ greater(e_2,X0)
| ~ next(e_2,e_4)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f117,f391]) ).
fof(f654,plain,
( ~ sQ80_spl
| ~ sQ4_spl
| ~ greater(e_0,e_0)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f117,f393]) ).
fof(f655,plain,
! [X0,X1] :
( ~ sQ4_spl
| ~ greater(X1,e_0)
| ~ greater(e_4,X0)
| ~ next(e_4,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f117,f390]) ).
fof(f656,plain,
! [X0] :
( ~ sQ4_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_2,e_4) ),
inference(resolution,[status(thm)],[f117,f388]) ).
fof(f661,plain,
( ~ sQ4_spl
| ~ sQ90_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f651,f448,f490,f116]) ).
fof(f663,plain,
( ~ sQ80_spl
| ~ sQ4_spl
| ~ sQ95_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f654,f643,f511,f116,f392]) ).
fof(f664,plain,
( ~ sQ4_spl
| ~ sQ98_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f655,f392,f534,f116]) ).
fof(f665,plain,
( ~ sQ4_spl
| sQ96_spl
| ~ sQ95_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f656,f490,f511,f514,f116]) ).
fof(f667,plain,
( ~ sQ80_spl
| ~ sQ7_spl
| ~ greater(e_3,e_0)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f126,f393]) ).
fof(f673,plain,
( ~ sQ80_spl
| ~ sQ7_spl
| ~ sQ88_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f667,f643,f483,f125,f392]) ).
fof(f692,plain,
! [X0,X1] :
( ~ sQ23_spl
| equalish(e_4,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f184,f68]) ).
fof(f693,plain,
( ~ sQ23_spl
| ~ greater(e_4,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f184,f66]) ).
fof(f694,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f184,f91]) ).
fof(f695,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f184,f89]) ).
fof(f696,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f184,f87]) ).
fof(f697,plain,
! [X0] :
( ~ sQ23_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f184,f94]) ).
fof(f698,definition,
! [X0] :
( sQ112_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f699,plain,
! [X0] :
( ~ sQ112_spl
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,definition,
! [X1] :
( sQ113_spl
<=> ( equalish(e_4,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f702,plain,
! [X0] :
( ~ sQ113_spl
| equalish(e_4,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f704,plain,
( ~ sQ23_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f692,f698,f701,f183]) ).
fof(f705,plain,
( ~ sQ23_spl
| ~ sQ107_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f693,f103,f595,f183]) ).
fof(f708,plain,
( ~ sQ22_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f181,f98]) ).
fof(f709,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f181,f91]) ).
fof(f710,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f181,f89]) ).
fof(f711,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f181,f87]) ).
fof(f712,plain,
! [X0] :
( ~ sQ22_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f181,f94]) ).
fof(f713,definition,
! [X1] :
( sQ114_spl
<=> ( equalish(e_3,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f714,plain,
! [X0] :
( ~ sQ114_spl
| equalish(e_3,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f717,definition,
( sQ115_spl
<=> greater(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( sQ115_spl
| ~ greater(e_3,e_3) ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f721,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f708,f74]) ).
fof(f722,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f721]) ).
fof(f723,plain,
! [X0,X1] :
( ~ sQ21_spl
| equalish(e_2,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f178,f68]) ).
fof(f724,plain,
( ~ sQ21_spl
| ~ greater(e_2,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f178,f66]) ).
fof(f725,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f178,f91]) ).
fof(f726,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f178,f89]) ).
fof(f727,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f178,f87]) ).
fof(f728,plain,
! [X0] :
( ~ sQ21_spl
| product(X0,e_2,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f178,f94]) ).
fof(f729,definition,
! [X1] :
( sQ116_spl
<=> ( equalish(e_2,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f730,plain,
! [X0] :
( ~ sQ116_spl
| equalish(e_2,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,plain,
( ~ sQ21_spl
| sQ116_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f723,f698,f729,f177]) ).
fof(f733,definition,
( sQ117_spl
<=> greater(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f735,plain,
( sQ117_spl
| ~ greater(e_2,e_3) ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,plain,
( ~ sQ21_spl
| ~ sQ117_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f724,f103,f733,f177]) ).
fof(f739,plain,
( ~ sQ20_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f175,f99]) ).
fof(f740,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f175,f91]) ).
fof(f741,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f175,f89]) ).
fof(f742,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f175,f87]) ).
fof(f743,plain,
! [X0] :
( ~ sQ20_spl
| product(X0,e_1,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f175,f94]) ).
fof(f744,definition,
! [X1] :
( sQ118_spl
<=> ( equalish(e_1,X1)
| ~ next(e_3,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f745,plain,
! [X0] :
( ~ sQ118_spl
| equalish(e_1,X0)
| ~ next(e_3,X0) ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f748,definition,
( sQ119_spl
<=> greater(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f750,plain,
( sQ119_spl
| ~ greater(e_1,e_3) ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f752,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f739,f79]) ).
fof(f753,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f752]) ).
fof(f754,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f171,f91]) ).
fof(f755,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f171,f89]) ).
fof(f756,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f171,f87]) ).
fof(f757,plain,
! [X0] :
( ~ sQ19_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f171,f94]) ).
fof(f762,plain,
( ~ sQ18_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f168,f98]) ).
fof(f763,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f168,f91]) ).
fof(f764,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f168,f89]) ).
fof(f765,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f168,f87]) ).
fof(f766,plain,
! [X0] :
( ~ sQ18_spl
| product(X0,e_3,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f168,f94]) ).
fof(f769,plain,
( ~ sQ21_spl
| ~ sQ17_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f165,f726]) ).
fof(f770,plain,
( ~ sQ17_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f165,f99]) ).
fof(f771,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f165,f91]) ).
fof(f772,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f165,f89]) ).
fof(f773,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f165,f87]) ).
fof(f774,plain,
! [X0] :
( ~ sQ17_spl
| product(X0,e_2,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f165,f94]) ).
fof(f775,plain,
( ~ sQ21_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f769,f76]) ).
fof(f776,plain,
( ~ sQ21_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f775]) ).
fof(f777,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f162,f91]) ).
fof(f778,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f162,f89]) ).
fof(f779,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f162,f87]) ).
fof(f780,plain,
! [X0] :
( ~ sQ16_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f162,f94]) ).
fof(f784,plain,
( ~ sQ15_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f158,f96]) ).
fof(f785,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f158,f91]) ).
fof(f786,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f158,f89]) ).
fof(f787,plain,
( ~ sQ15_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f158,f95]) ).
fof(f788,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f158,f87]) ).
fof(f789,plain,
! [X0] :
( ~ sQ15_spl
| product(X0,e_4,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f158,f94]) ).
fof(f790,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f787,f84]) ).
fof(f791,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f790]) ).
fof(f792,plain,
! [X0,X1] :
( ~ sQ35_spl
| equalish(e_4,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f226,f68]) ).
fof(f793,plain,
( ~ sQ35_spl
| ~ greater(e_4,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f226,f66]) ).
fof(f794,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f226,f91]) ).
fof(f795,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f226,f89]) ).
fof(f796,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f226,f87]) ).
fof(f797,plain,
! [X0] :
( ~ sQ35_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f226,f94]) ).
fof(f798,definition,
! [X0] :
( sQ120_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f799,plain,
! [X0] :
( ~ sQ120_spl
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,definition,
! [X1] :
( sQ121_spl
<=> ( equalish(e_4,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f802,plain,
! [X0] :
( ~ sQ121_spl
| equalish(e_4,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( ~ sQ35_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f792,f798,f801,f225]) ).
fof(f805,plain,
( ~ sQ35_spl
| ~ sQ111_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f793,f116,f643,f225]) ).
fof(f806,plain,
! [X0,X1] :
( ~ sQ34_spl
| equalish(e_3,X1)
| ~ next(e_2,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_2,X0) ),
inference(resolution,[status(thm)],[f223,f68]) ).
fof(f807,plain,
( ~ sQ34_spl
| ~ greater(e_3,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f223,f66]) ).
fof(f808,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f223,f91]) ).
fof(f809,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f223,f89]) ).
fof(f810,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f223,f87]) ).
fof(f811,plain,
! [X0] :
( ~ sQ34_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f223,f94]) ).
fof(f812,definition,
! [X1] :
( sQ122_spl
<=> ( equalish(e_3,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f813,plain,
! [X0] :
( ~ sQ122_spl
| equalish(e_3,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,plain,
( ~ sQ34_spl
| sQ122_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f806,f798,f812,f222]) ).
fof(f816,definition,
( sQ123_spl
<=> greater(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f818,plain,
( sQ123_spl
| ~ greater(e_3,e_2) ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,plain,
( ~ sQ34_spl
| ~ sQ123_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f807,f116,f816,f222]) ).
fof(f820,plain,
( sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f818,f55]) ).
fof(f821,plain,
sQ123_spl,
inference(contradiction_clause,[status(thm)],[f820]) ).
fof(f825,plain,
( ~ sQ33_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f220,f98]) ).
fof(f826,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f220,f91]) ).
fof(f827,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f220,f89]) ).
fof(f828,plain,
! [X0] :
( ~ sQ33_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f220,f87]) ).
fof(f829,plain,
! [X0] :
( ~ sQ33_spl
| product(X0,e_2,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f220,f94]) ).
fof(f834,plain,
( ~ sQ32_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f217,f99]) ).
fof(f835,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f217,f91]) ).
fof(f836,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f217,f89]) ).
fof(f837,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f217,f87]) ).
fof(f838,plain,
! [X0] :
( ~ sQ32_spl
| product(X0,e_1,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f217,f94]) ).
fof(f839,definition,
! [X1] :
( sQ124_spl
<=> ( equalish(e_1,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f840,plain,
! [X0] :
( ~ sQ124_spl
| equalish(e_1,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f843,definition,
( sQ125_spl
<=> greater(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f845,plain,
( sQ125_spl
| ~ greater(e_1,e_2) ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f847,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f834,f76]) ).
fof(f848,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f847]) ).
fof(f849,definition,
! [X1] :
( sQ126_spl
<=> ( equalish(e_2,X1)
| ~ next(e_2,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f850,plain,
! [X0] :
( ~ sQ126_spl
| equalish(e_2,X0)
| ~ next(e_2,X0) ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f853,definition,
( sQ127_spl
<=> greater(e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f855,plain,
( sQ127_spl
| ~ greater(e_2,e_2) ),
inference(component_clause,[status(thm)],[f853]) ).
fof(f857,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f825,f73]) ).
fof(f858,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f857]) ).
fof(f875,plain,
( ~ sQ80_spl
| ~ sQ5_spl
| ~ greater(e_1,e_0)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f120,f393]) ).
fof(f876,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ greater(X1,e_1)
| ~ greater(e_4,X0)
| ~ next(e_4,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f120,f390]) ).
fof(f881,plain,
( ~ sQ80_spl
| ~ sQ5_spl
| ~ sQ91_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f875,f643,f493,f119,f392]) ).
fof(f882,plain,
( ~ sQ5_spl
| ~ sQ98_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f876,f538,f534,f119]) ).
fof(f891,plain,
( ~ sQ31_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f213,f96]) ).
fof(f892,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f213,f91]) ).
fof(f893,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f213,f89]) ).
fof(f894,plain,
( ~ sQ31_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f213,f95]) ).
fof(f895,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f213,f87]) ).
fof(f896,plain,
! [X0] :
( ~ sQ31_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f213,f94]) ).
fof(f897,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f894,f83]) ).
fof(f898,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f897]) ).
fof(f899,plain,
( ~ sQ34_spl
| ~ sQ30_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f210,f809]) ).
fof(f900,plain,
( ~ sQ30_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f210,f96]) ).
fof(f901,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f210,f91]) ).
fof(f902,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f210,f89]) ).
fof(f903,plain,
( ~ sQ30_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f210,f95]) ).
fof(f904,plain,
! [X0] :
( ~ sQ30_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f210,f87]) ).
fof(f905,plain,
! [X0] :
( ~ sQ30_spl
| product(X0,e_3,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f210,f94]) ).
fof(f906,plain,
( ~ sQ34_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f899,f76]) ).
fof(f907,plain,
( ~ sQ34_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f906]) ).
fof(f908,plain,
( ~ sQ16_spl
| ~ sQ28_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f204,f777]) ).
fof(f909,plain,
( ~ sQ28_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f204,f96]) ).
fof(f910,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f204,f91]) ).
fof(f911,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f204,f89]) ).
fof(f912,plain,
( ~ sQ28_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f204,f95]) ).
fof(f913,plain,
! [X0] :
( ~ sQ28_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f204,f87]) ).
fof(f914,plain,
! [X0] :
( ~ sQ28_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f204,f94]) ).
fof(f915,plain,
( ~ sQ16_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f908,f77]) ).
fof(f916,plain,
( ~ sQ16_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f915]) ).
fof(f917,plain,
( ~ sQ16_spl
| ~ sQ27_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f200,f780]) ).
fof(f918,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f200,f91]) ).
fof(f919,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f200,f89]) ).
fof(f920,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f200,f87]) ).
fof(f921,plain,
! [X0] :
( ~ sQ27_spl
| product(X0,e_4,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f200,f94]) ).
fof(f922,plain,
( ~ sQ16_spl
| ~ sQ27_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f921,f162]) ).
fof(f926,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f197,f920]) ).
fof(f927,plain,
( ~ sQ16_spl
| ~ sQ26_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f197,f780]) ).
fof(f928,plain,
( ~ sQ34_spl
| ~ sQ26_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f197,f809]) ).
fof(f929,plain,
( ~ sQ26_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f197,f99]) ).
fof(f930,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f197,f91]) ).
fof(f931,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f197,f89]) ).
fof(f932,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f197,f87]) ).
fof(f933,plain,
! [X0] :
( ~ sQ26_spl
| product(X0,e_3,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f197,f94]) ).
fof(f934,plain,
( ~ sQ27_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f926,f81]) ).
fof(f935,plain,
( ~ sQ27_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f934]) ).
fof(f937,plain,
( ~ sQ25_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f194,f98]) ).
fof(f938,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f194,f91]) ).
fof(f939,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f194,f89]) ).
fof(f940,plain,
! [X0] :
( ~ sQ25_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f194,f87]) ).
fof(f941,plain,
! [X0] :
( ~ sQ25_spl
| product(X0,e_2,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f194,f94]) ).
fof(f943,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f937,f80]) ).
fof(f944,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f943]) ).
fof(f945,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f762,f77]) ).
fof(f946,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f945]) ).
fof(f947,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f191,f780]) ).
fof(f948,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f191,f91]) ).
fof(f949,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f191,f89]) ).
fof(f950,plain,
! [X0] :
( ~ sQ24_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f191,f87]) ).
fof(f951,plain,
! [X0] :
( ~ sQ24_spl
| product(X0,e_1,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f191,f94]) ).
fof(f957,plain,
( ~ sQ47_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f268,f96]) ).
fof(f958,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f268,f91]) ).
fof(f959,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f268,f89]) ).
fof(f960,plain,
( ~ sQ47_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f268,f95]) ).
fof(f961,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f268,f87]) ).
fof(f962,plain,
! [X0] :
( ~ sQ47_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f268,f94]) ).
fof(f963,definition,
! [X1] :
( sQ128_spl
<=> ( equalish(e_4,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f964,plain,
! [X0] :
( ~ sQ128_spl
| equalish(e_4,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f968,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f960,f82]) ).
fof(f969,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f968]) ).
fof(f970,plain,
( ~ sQ34_spl
| ~ sQ46_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f265,f808]) ).
fof(f971,plain,
! [X0,X1] :
( ~ sQ46_spl
| equalish(e_3,X1)
| ~ next(e_1,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ),
inference(resolution,[status(thm)],[f265,f68]) ).
fof(f972,plain,
( ~ sQ46_spl
| ~ greater(e_3,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f265,f66]) ).
fof(f973,plain,
( ~ sQ46_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f265,f96]) ).
fof(f974,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f265,f91]) ).
fof(f975,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f265,f89]) ).
fof(f976,plain,
( ~ sQ46_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f265,f95]) ).
fof(f977,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_3)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f265,f87]) ).
fof(f978,plain,
! [X0] :
( ~ sQ46_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f265,f94]) ).
fof(f979,plain,
( ~ sQ34_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f970,f73]) ).
fof(f980,plain,
( ~ sQ34_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f979]) ).
fof(f985,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f262,f91]) ).
fof(f986,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f262,f89]) ).
fof(f987,plain,
( ~ sQ45_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f262,f95]) ).
fof(f988,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_2)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f262,f87]) ).
fof(f989,plain,
! [X0] :
( ~ sQ45_spl
| product(X0,e_2,e_1)
| ~ product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f262,f94]) ).
fof(f992,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f947,f261,f190,f161]) ).
fof(f993,plain,
( ~ sQ24_spl
| ~ sQ19_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f757,f191]) ).
fof(f994,plain,
( ~ sQ34_spl
| ~ sQ43_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f255,f811]) ).
fof(f995,plain,
( ~ sQ19_spl
| ~ sQ43_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f255,f754]) ).
fof(f996,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f255,f91]) ).
fof(f997,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f255,f89]) ).
fof(f998,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f255,f87]) ).
fof(f999,plain,
! [X0] :
( ~ sQ43_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f255,f94]) ).
fof(f1000,plain,
( ~ sQ19_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f995,f74]) ).
fof(f1001,plain,
( ~ sQ19_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1000]) ).
fof(f1002,plain,
( ~ sQ34_spl
| ~ sQ42_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f252,f811]) ).
fof(f1003,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f252,f91]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f252,f89]) ).
fof(f1005,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f252,f87]) ).
fof(f1006,plain,
! [X0] :
( ~ sQ42_spl
| product(X0,e_3,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f252,f94]) ).
fof(f1011,plain,
( ~ sQ34_spl
| ~ sQ41_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f249,f811]) ).
fof(f1012,plain,
( ~ sQ41_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f249,f99]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f249,f91]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f249,f89]) ).
fof(f1015,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f249,f87]) ).
fof(f1016,plain,
! [X0] :
( ~ sQ41_spl
| product(X0,e_2,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f249,f94]) ).
fof(f1019,plain,
( ~ sQ34_spl
| ~ sQ40_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f246,f811]) ).
fof(f1020,plain,
( ~ sQ40_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f246,f98]) ).
fof(f1021,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f246,f91]) ).
fof(f1022,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f246,f89]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f246,f87]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ40_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f246,f94]) ).
fof(f1025,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1020,f76]) ).
fof(f1026,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f1025]) ).
fof(f1027,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1012,f73]) ).
fof(f1028,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f1027]) ).
fof(f1029,plain,
( ~ sQ21_spl
| ~ sQ39_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f242,f728]) ).
fof(f1030,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f242,f91]) ).
fof(f1031,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f242,f89]) ).
fof(f1032,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f242,f87]) ).
fof(f1033,plain,
! [X0] :
( ~ sQ39_spl
| product(X0,e_4,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f242,f94]) ).
fof(f1038,plain,
( ~ sQ38_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f239,f99]) ).
fof(f1039,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f239,f91]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f239,f89]) ).
fof(f1041,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f239,f87]) ).
fof(f1042,plain,
! [X0] :
( ~ sQ38_spl
| product(X0,e_3,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f239,f94]) ).
fof(f1046,plain,
( ~ sQ21_spl
| ~ sQ37_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f236,f728]) ).
fof(f1047,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f236,f91]) ).
fof(f1048,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f236,f89]) ).
fof(f1049,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f236,f87]) ).
fof(f1050,plain,
! [X0] :
( ~ sQ37_spl
| product(X0,e_2,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f236,f94]) ).
fof(f1053,plain,
( ~ sQ36_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f233,f98]) ).
fof(f1054,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f233,f91]) ).
fof(f1055,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f233,f89]) ).
fof(f1056,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f233,f87]) ).
fof(f1057,plain,
! [X0] :
( ~ sQ36_spl
| product(X0,e_1,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f233,f94]) ).
fof(f1061,plain,
( ~ sQ34_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f928,f79]) ).
fof(f1062,plain,
( ~ sQ34_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1061]) ).
fof(f1063,definition,
! [X1] :
( sQ129_spl
<=> ( equalish(e_2,X1)
| ~ next(e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1064,plain,
! [X0] :
( ~ sQ129_spl
| equalish(e_2,X0)
| ~ next(e_1,X0) ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1067,definition,
( sQ130_spl
<=> greater(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1069,plain,
( sQ130_spl
| ~ greater(e_2,e_1) ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1072,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f987,f76]) ).
fof(f1073,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f1072]) ).
fof(f1074,plain,
( sQ130_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1069,f52]) ).
fof(f1075,plain,
sQ130_spl,
inference(contradiction_clause,[status(thm)],[f1074]) ).
fof(f1076,plain,
( ~ sQ59_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f315,f99]) ).
fof(f1077,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f315,f91]) ).
fof(f1078,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f315,f89]) ).
fof(f1079,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f315,f87]) ).
fof(f1080,plain,
! [X0] :
( ~ sQ59_spl
| product(X0,e_4,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f315,f94]) ).
fof(f1081,plain,
( ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1076,f81]) ).
fof(f1082,plain,
~ sQ59_spl,
inference(contradiction_clause,[status(thm)],[f1081]) ).
fof(f1083,plain,
( ~ sQ58_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f312,f98]) ).
fof(f1084,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f312,f91]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f312,f89]) ).
fof(f1086,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f312,f87]) ).
fof(f1087,plain,
! [X0] :
( ~ sQ58_spl
| product(X0,e_3,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f312,f94]) ).
fof(f1088,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1083,f84]) ).
fof(f1089,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f1088]) ).
fof(f1090,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f309,f91]) ).
fof(f1091,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f309,f89]) ).
fof(f1092,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f309,f87]) ).
fof(f1093,plain,
! [X0] :
( ~ sQ57_spl
| product(X0,e_2,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f309,f94]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1046,f91]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ37_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1046,f89]) ).
fof(f1097,plain,
( ~ sQ21_spl
| ~ sQ37_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1046,f95]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ37_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1046,f87]) ).
fof(f1099,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ37_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f1046,f94]) ).
fof(f1101,plain,
( ~ sQ21_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1097,f73]) ).
fof(f1102,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f1101]) ).
fof(f1103,plain,
( ~ sQ37_spl
| ~ sQ23_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f697,f236]) ).
fof(f1104,plain,
( ~ sQ39_spl
| ~ sQ23_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f697,f242]) ).
fof(f1105,plain,
( ~ sQ37_spl
| ~ sQ39_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1032,f236]) ).
fof(f1107,plain,
( ~ sQ37_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1105,f78]) ).
fof(f1108,plain,
( ~ sQ37_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f1107]) ).
fof(f1115,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f306,f1092]) ).
fof(f1116,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f306,f91]) ).
fof(f1117,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f306,f89]) ).
fof(f1118,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f306,f87]) ).
fof(f1119,plain,
! [X0] :
( ~ sQ56_spl
| product(X0,e_1,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f306,f94]) ).
fof(f1120,plain,
( ~ sQ57_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1115,f73]) ).
fof(f1121,plain,
( ~ sQ57_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f1120]) ).
fof(f1125,plain,
( ~ sQ55_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f302,f99]) ).
fof(f1126,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f302,f91]) ).
fof(f1127,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f302,f89]) ).
fof(f1128,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f302,f87]) ).
fof(f1129,plain,
! [X0] :
( ~ sQ55_spl
| product(X0,e_4,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f302,f94]) ).
fof(f1130,plain,
( ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1125,f78]) ).
fof(f1131,plain,
~ sQ55_spl,
inference(contradiction_clause,[status(thm)],[f1130]) ).
fof(f1132,plain,
( ~ sQ34_spl
| ~ sQ54_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f299,f809]) ).
fof(f1133,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f299,f91]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f299,f89]) ).
fof(f1135,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f299,f87]) ).
fof(f1136,plain,
! [X0] :
( ~ sQ54_spl
| product(X0,e_3,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f299,f94]) ).
fof(f1137,plain,
( ~ sQ34_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1132,f82]) ).
fof(f1138,plain,
( ~ sQ34_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1137]) ).
fof(f1139,plain,
( ~ sQ53_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f296,f98]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f296,f91]) ).
fof(f1141,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f296,f89]) ).
fof(f1142,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f296,f87]) ).
fof(f1143,plain,
! [X0] :
( ~ sQ53_spl
| product(X0,e_2,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f296,f94]) ).
fof(f1144,plain,
( ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1139,f83]) ).
fof(f1145,plain,
~ sQ53_spl,
inference(contradiction_clause,[status(thm)],[f1144]) ).
fof(f1146,plain,
( ~ sQ24_spl
| ~ sQ52_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f293,f949]) ).
fof(f1147,plain,
( ~ sQ56_spl
| ~ sQ52_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f293,f1116]) ).
fof(f1148,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f293,f91]) ).
fof(f1149,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f293,f89]) ).
fof(f1150,plain,
! [X0] :
( ~ sQ52_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f293,f87]) ).
fof(f1151,plain,
! [X0] :
( ~ sQ52_spl
| product(X0,e_1,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f293,f94]) ).
fof(f1152,plain,
( ~ sQ24_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1146,f84]) ).
fof(f1153,plain,
( ~ sQ24_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1152]) ).
fof(f1154,plain,
( ~ sQ56_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1147,f77]) ).
fof(f1155,plain,
( ~ sQ56_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1154]) ).
fof(f1156,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1038,f74]) ).
fof(f1157,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f1156]) ).
fof(f1161,plain,
( ~ sQ51_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f289,f99]) ).
fof(f1162,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f289,f91]) ).
fof(f1163,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f289,f89]) ).
fof(f1164,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_4)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f289,f87]) ).
fof(f1165,plain,
! [X0] :
( ~ sQ51_spl
| product(X0,e_4,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f289,f94]) ).
fof(f1166,plain,
( ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1161,f75]) ).
fof(f1167,plain,
~ sQ51_spl,
inference(contradiction_clause,[status(thm)],[f1166]) ).
fof(f1168,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f286,f91]) ).
fof(f1169,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f286,f89]) ).
fof(f1170,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f286,f87]) ).
fof(f1171,plain,
! [X0] :
( ~ sQ50_spl
| product(X0,e_3,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f286,f94]) ).
fof(f1172,plain,
( ~ sQ57_spl
| ~ sQ49_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f283,f1090]) ).
fof(f1173,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f283,f91]) ).
fof(f1174,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f283,f89]) ).
fof(f1175,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f283,f87]) ).
fof(f1176,plain,
! [X0] :
( ~ sQ49_spl
| product(X0,e_2,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f283,f94]) ).
fof(f1177,plain,
( ~ sQ57_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1172,f74]) ).
fof(f1178,plain,
( ~ sQ57_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1177]) ).
fof(f1180,plain,
( ~ sQ48_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f280,f98]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f280,f91]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f280,f89]) ).
fof(f1183,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f280,f87]) ).
fof(f1184,plain,
! [X0] :
( ~ sQ48_spl
| product(X0,e_1,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f280,f94]) ).
fof(f1189,plain,
( ~ sQ79_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f384,f98]) ).
fof(f1190,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f384,f91]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f384,f89]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f384,f87]) ).
fof(f1193,plain,
! [X0] :
( ~ sQ79_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f384,f94]) ).
fof(f1194,definition,
! [X0] :
( sQ131_spl
<=> ( ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1195,plain,
! [X0] :
( ~ sQ131_spl
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(component_clause,[status(thm)],[f1194]) ).
fof(f1197,definition,
! [X1] :
( sQ132_spl
<=> ( equalish(e_4,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ132_spl
| equalish(e_4,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f1197]) ).
fof(f1202,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1189,f75]) ).
fof(f1203,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f1202]) ).
fof(f1204,plain,
( ~ sQ50_spl
| ~ sQ42_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1004,f286]) ).
fof(f1205,plain,
( ~ sQ50_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1204,f83]) ).
fof(f1206,plain,
( ~ sQ50_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f1205]) ).
fof(f1218,plain,
( ~ sQ50_spl
| ~ sQ78_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f381,f1171]) ).
fof(f1219,plain,
( ~ sQ34_spl
| ~ sQ78_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f381,f808]) ).
fof(f1220,plain,
! [X0,X1] :
( ~ sQ78_spl
| equalish(e_3,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f381,f68]) ).
fof(f1221,plain,
( ~ sQ78_spl
| ~ greater(e_3,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f381,f66]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f381,f91]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f381,f89]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f381,f87]) ).
fof(f1225,plain,
! [X0] :
( ~ sQ78_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f381,f94]) ).
fof(f1226,plain,
( ~ sQ50_spl
| ~ sQ78_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1218,f157,f380,f285]) ).
fof(f1227,plain,
( ~ sQ34_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1219,f83]) ).
fof(f1228,plain,
( ~ sQ34_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1227]) ).
fof(f1229,plain,
( ~ sQ50_spl
| ~ sQ77_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f378,f1171]) ).
fof(f1230,plain,
( ~ sQ21_spl
| ~ sQ77_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f378,f725]) ).
fof(f1231,plain,
! [X0,X1] :
( ~ sQ77_spl
| equalish(e_2,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f378,f68]) ).
fof(f1232,plain,
( ~ sQ77_spl
| ~ greater(e_2,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f378,f66]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f378,f91]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f378,f89]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f378,f87]) ).
fof(f1236,plain,
! [X0] :
( ~ sQ77_spl
| product(X0,e_2,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f378,f94]) ).
fof(f1237,plain,
( ~ sQ21_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1230,f84]) ).
fof(f1238,plain,
( ~ sQ21_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f1237]) ).
fof(f1239,plain,
( ~ sQ16_spl
| ~ sQ27_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f917,f377,f199,f161]) ).
fof(f1240,definition,
! [X1] :
( sQ133_spl
<=> ( equalish(e_2,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1241,plain,
! [X0] :
( ~ sQ133_spl
| equalish(e_2,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f1240]) ).
fof(f1243,plain,
( ~ sQ77_spl
| sQ133_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f1231,f1194,f1240,f377]) ).
fof(f1244,definition,
( sQ134_spl
<=> greater(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1246,plain,
( sQ134_spl
| ~ greater(e_2,e_4) ),
inference(component_clause,[status(thm)],[f1244]) ).
fof(f1247,plain,
( ~ sQ77_spl
| ~ sQ134_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1232,f318,f1244,f377]) ).
fof(f1248,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1053,f79]) ).
fof(f1249,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f1248]) ).
fof(f1250,plain,
( sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f320,f61]) ).
fof(f1251,plain,
sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1250]) ).
fof(f1252,plain,
( ~ sQ50_spl
| ~ sQ77_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f1236,f286]) ).
fof(f1253,plain,
( ~ sQ77_spl
| ~ sQ76_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f375,f1235]) ).
fof(f1254,plain,
( ~ sQ50_spl
| ~ sQ76_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f375,f1171]) ).
fof(f1255,plain,
! [X0,X1] :
( ~ sQ76_spl
| equalish(e_1,X1)
| ~ next(e_4,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(resolution,[status(thm)],[f375,f68]) ).
fof(f1256,plain,
( ~ sQ76_spl
| ~ greater(e_1,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f375,f66]) ).
fof(f1257,plain,
( ~ sQ76_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f375,f99]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f375,f91]) ).
fof(f1259,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f375,f89]) ).
fof(f1260,plain,
! [X0] :
( ~ sQ76_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f375,f87]) ).
fof(f1261,plain,
! [X0] :
( ~ sQ76_spl
| product(X0,e_1,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f375,f94]) ).
fof(f1262,plain,
( ~ sQ77_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1253,f73]) ).
fof(f1263,plain,
( ~ sQ77_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f1262]) ).
fof(f1264,plain,
( ~ sQ52_spl
| ~ sQ75_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f371,f1151]) ).
fof(f1265,plain,
( ~ sQ43_spl
| ~ sQ75_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f371,f996]) ).
fof(f1266,plain,
( ~ sQ75_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f371,f98]) ).
fof(f1267,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f371,f91]) ).
fof(f1268,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f371,f89]) ).
fof(f1269,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f371,f87]) ).
fof(f1270,plain,
! [X0] :
( ~ sQ75_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f371,f94]) ).
fof(f1271,plain,
( ~ sQ52_spl
| ~ sQ75_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f1264,f383,f370,f292]) ).
fof(f1272,plain,
( ~ sQ43_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1265,f82]) ).
fof(f1273,plain,
( ~ sQ43_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1272]) ).
fof(f1274,plain,
( ~ sQ52_spl
| ~ sQ74_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f368,f1151]) ).
fof(f1275,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f368,f91]) ).
fof(f1276,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f368,f89]) ).
fof(f1277,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f368,f87]) ).
fof(f1278,plain,
! [X0] :
( ~ sQ74_spl
| product(X0,e_3,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f368,f94]) ).
fof(f1284,plain,
( ~ sQ52_spl
| ~ sQ73_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f365,f1151]) ).
fof(f1286,plain,
( ~ sQ73_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f365,f99]) ).
fof(f1287,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f365,f91]) ).
fof(f1288,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f365,f89]) ).
fof(f1289,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f365,f87]) ).
fof(f1290,plain,
! [X0] :
( ~ sQ73_spl
| product(X0,e_2,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f365,f94]) ).
fof(f1293,plain,
( ~ sQ52_spl
| ~ sQ72_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f362,f1151]) ).
fof(f1294,plain,
( ~ sQ16_spl
| ~ sQ72_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f362,f777]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f362,f91]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f362,f89]) ).
fof(f1297,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f362,f87]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ72_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f362,f94]) ).
fof(f1299,plain,
( ~ sQ52_spl
| ~ sQ72_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f1293,f267,f361,f292]) ).
fof(f1300,plain,
( ~ sQ16_spl
| ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1294,f84]) ).
fof(f1301,plain,
( ~ sQ16_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f1300]) ).
fof(f1304,plain,
( ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1286,f83]) ).
fof(f1305,plain,
~ sQ73_spl,
inference(contradiction_clause,[status(thm)],[f1304]) ).
fof(f1307,plain,
( ~ sQ52_spl
| ~ sQ74_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1278,f293]) ).
fof(f1309,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1252,f91]) ).
fof(f1310,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1252,f89]) ).
fof(f1311,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ77_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1252,f87]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ77_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1252,f94]) ).
fof(f1316,plain,
( ~ sQ57_spl
| ~ sQ71_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f358,f1093]) ).
fof(f1317,plain,
( ~ sQ27_spl
| ~ sQ71_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f358,f918]) ).
fof(f1318,plain,
( ~ sQ71_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f358,f98]) ).
fof(f1319,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f358,f91]) ).
fof(f1320,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f358,f89]) ).
fof(f1321,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f358,f87]) ).
fof(f1322,plain,
! [X0] :
( ~ sQ71_spl
| product(X0,e_4,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f358,f94]) ).
fof(f1323,plain,
( ~ sQ57_spl
| ~ sQ71_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f1316,f370,f357,f308]) ).
fof(f1324,plain,
( ~ sQ27_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1317,f83]) ).
fof(f1325,plain,
( ~ sQ27_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1324]) ).
fof(f1326,plain,
( ~ sQ57_spl
| ~ sQ70_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f355,f1093]) ).
fof(f1327,plain,
( ~ sQ74_spl
| ~ sQ70_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f355,f1276]) ).
fof(f1328,plain,
( ~ sQ70_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f355,f99]) ).
fof(f1329,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f355,f91]) ).
fof(f1330,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f355,f89]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ70_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f355,f87]) ).
fof(f1332,plain,
! [X0] :
( ~ sQ70_spl
| product(X0,e_3,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f355,f94]) ).
fof(f1333,plain,
( ~ sQ57_spl
| ~ sQ70_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f1326,f170,f354,f308]) ).
fof(f1334,plain,
( ~ sQ74_spl
| ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1327,f80]) ).
fof(f1335,plain,
( ~ sQ74_spl
| ~ sQ70_spl ),
inference(contradiction_clause,[status(thm)],[f1334]) ).
fof(f1336,plain,
( ~ sQ57_spl
| ~ sQ69_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f352,f1093]) ).
fof(f1337,plain,
( ~ sQ77_spl
| ~ sQ69_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f352,f1234]) ).
fof(f1338,plain,
( ~ sQ37_spl
| ~ sQ69_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f352,f1047]) ).
fof(f1339,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f352,f91]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f352,f89]) ).
fof(f1341,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f352,f87]) ).
fof(f1342,plain,
! [X0] :
( ~ sQ69_spl
| product(X0,e_2,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f352,f94]) ).
fof(f1343,plain,
( ~ sQ57_spl
| ~ sQ69_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f1336,f212,f351,f308]) ).
fof(f1344,plain,
( ~ sQ77_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1337,f79]) ).
fof(f1345,plain,
( ~ sQ77_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f1344]) ).
fof(f1346,plain,
( ~ sQ57_spl
| ~ sQ68_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f349,f1093]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f349,f91]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f349,f89]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f349,f87]) ).
fof(f1350,plain,
! [X0] :
( ~ sQ68_spl
| product(X0,e_1,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f349,f94]) ).
fof(f1351,plain,
( ~ sQ74_spl
| ~ sQ66_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f342,f1276]) ).
fof(f1352,plain,
( ~ sQ50_spl
| ~ sQ66_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f342,f1168]) ).
fof(f1353,plain,
( ~ sQ66_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f342,f96]) ).
fof(f1354,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f342,f91]) ).
fof(f1355,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f342,f89]) ).
fof(f1356,plain,
( ~ sQ66_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f342,f95]) ).
fof(f1357,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f342,f87]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ66_spl
| product(X0,e_3,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f342,f94]) ).
fof(f1359,plain,
( ~ sQ74_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1351,f83]) ).
fof(f1360,plain,
( ~ sQ74_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1359]) ).
fof(f1361,plain,
( ~ sQ77_spl
| ~ sQ65_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f339,f1234]) ).
fof(f1362,plain,
( ~ sQ57_spl
| ~ sQ65_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f339,f1090]) ).
fof(f1363,plain,
( ~ sQ65_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f339,f96]) ).
fof(f1364,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f339,f91]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f339,f89]) ).
fof(f1366,plain,
( ~ sQ65_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f339,f95]) ).
fof(f1367,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f339,f87]) ).
fof(f1368,plain,
! [X0] :
( ~ sQ65_spl
| product(X0,e_2,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f339,f94]) ).
fof(f1369,plain,
( ~ sQ77_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1361,f82]) ).
fof(f1370,plain,
( ~ sQ77_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1369]) ).
fof(f1371,plain,
( ~ sQ52_spl
| ~ sQ64_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f336,f1148]) ).
fof(f1372,plain,
( ~ sQ64_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f336,f96]) ).
fof(f1373,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f336,f91]) ).
fof(f1374,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f336,f89]) ).
fof(f1375,plain,
( ~ sQ64_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f336,f95]) ).
fof(f1376,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f336,f87]) ).
fof(f1377,plain,
! [X0] :
( ~ sQ64_spl
| product(X0,e_1,e_4)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f336,f94]) ).
fof(f1378,plain,
( ~ sQ52_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1371,f83]) ).
fof(f1379,plain,
( ~ sQ52_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f1378]) ).
fof(f1383,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ greater(e_1,e_0)
| ~ greater(e_2,e_3) ),
inference(resolution,[status(thm)],[f449,f107]) ).
fof(f1384,plain,
( ~ sQ5_spl
| ~ sQ85_spl
| ~ greater(e_1,e_0)
| ~ greater(e_2,e_2) ),
inference(resolution,[status(thm)],[f449,f120]) ).
fof(f1385,plain,
( ~ sQ8_spl
| ~ sQ85_spl
| ~ greater(e_0,e_0)
| ~ greater(e_2,e_1) ),
inference(resolution,[status(thm)],[f449,f130]) ).
fof(f1386,plain,
( ~ sQ85_spl
| ~ greater(e_0,e_0)
| ~ greater(e_2,e_4) ),
inference(resolution,[status(thm)],[f449,f61]) ).
fof(f1387,plain,
( ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ91_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f1383,f733,f493,f448,f106]) ).
fof(f1388,plain,
( ~ sQ5_spl
| ~ sQ85_spl
| ~ sQ91_spl
| ~ sQ127_spl ),
inference(split_clause,[status(thm)],[f1384,f853,f493,f448,f119]) ).
fof(f1389,plain,
( ~ sQ8_spl
| ~ sQ85_spl
| ~ sQ95_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f1385,f1067,f511,f448,f129]) ).
fof(f1390,plain,
( ~ sQ85_spl
| ~ sQ95_spl
| ~ sQ134_spl ),
inference(split_clause,[status(thm)],[f1386,f1244,f511,f448]) ).
fof(f1405,plain,
( ~ sQ43_spl
| ~ sQ34_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f223,f999]) ).
fof(f1417,plain,
( ~ sQ57_spl
| ~ sQ13_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f152,f1091]) ).
fof(f1418,plain,
( ~ sQ37_spl
| ~ sQ13_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f152,f1047]) ).
fof(f1419,plain,
( ~ sQ13_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f152,f96]) ).
fof(f1420,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f152,f91]) ).
fof(f1421,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f152,f89]) ).
fof(f1422,plain,
( ~ sQ13_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f152,f95]) ).
fof(f1423,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f152,f87]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ13_spl
| product(X0,e_2,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f152,f94]) ).
fof(f1425,plain,
( ~ sQ57_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1417,f81]) ).
fof(f1426,plain,
( ~ sQ57_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1425]) ).
fof(f1427,plain,
( ~ sQ89_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f487,f44]) ).
fof(f1428,plain,
( ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1427,f79]) ).
fof(f1429,plain,
~ sQ89_spl,
inference(contradiction_clause,[status(thm)],[f1428]) ).
fof(f1430,definition,
! [X1] :
( sQ135_spl
<=> ( equalish(e_3,X1)
| ~ next(e_4,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1431,plain,
! [X0] :
( ~ sQ135_spl
| equalish(e_3,X0)
| ~ next(e_4,X0) ),
inference(component_clause,[status(thm)],[f1430]) ).
fof(f1433,plain,
( ~ sQ78_spl
| sQ135_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f1220,f1194,f1430,f380]) ).
fof(f1434,definition,
( sQ136_spl
<=> greater(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1436,plain,
( sQ136_spl
| ~ greater(e_3,e_4) ),
inference(component_clause,[status(thm)],[f1434]) ).
fof(f1437,plain,
( ~ sQ78_spl
| ~ sQ136_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1221,f318,f1434,f380]) ).
fof(f1438,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1180,f82]) ).
fof(f1439,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f1438]) ).
fof(f1440,plain,
( ~ sQ68_spl
| ~ sQ56_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f1119,f349]) ).
fof(f1441,plain,
( ~ sQ68_spl
| ~ sQ56_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f1440,f267,f305,f348]) ).
fof(f1442,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1029,f91]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ39_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1029,f89]) ).
fof(f1444,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ39_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1029,f87]) ).
fof(f1445,plain,
! [X0] :
( ~ sQ21_spl
| ~ sQ39_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1029,f94]) ).
fof(f1447,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ19_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f993,f91]) ).
fof(f1448,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ19_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f993,f89]) ).
fof(f1449,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ19_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f993,f87]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ24_spl
| ~ sQ19_spl
| product(X0,e_2,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f993,f94]) ).
fof(f1462,plain,
( ~ sQ94_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f504,f44]) ).
fof(f1463,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1462,f76]) ).
fof(f1464,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f1463]) ).
fof(f1482,plain,
( ~ sQ56_spl
| ~ sQ12_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f149,f1117]) ).
fof(f1483,plain,
( ~ sQ24_spl
| ~ sQ12_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f149,f948]) ).
fof(f1484,plain,
( ~ sQ12_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f149,f96]) ).
fof(f1485,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f149,f91]) ).
fof(f1486,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f149,f89]) ).
fof(f1487,plain,
( ~ sQ12_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f149,f95]) ).
fof(f1488,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f149,f87]) ).
fof(f1489,plain,
! [X0] :
( ~ sQ12_spl
| product(X0,e_1,e_3)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f149,f94]) ).
fof(f1490,plain,
( ~ sQ56_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1482,f81]) ).
fof(f1491,plain,
( ~ sQ56_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f1490]) ).
fof(f1493,plain,
( ~ sQ96_spl
| equalish(e_0,e_1) ),
inference(resolution,[status(thm)],[f515,f44]) ).
fof(f1494,plain,
( ~ sQ0_spl
| ~ sQ97_spl
| ~ greater(e_0,e_3)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f532,f104]) ).
fof(f1495,plain,
( ~ sQ6_spl
| ~ sQ97_spl
| ~ greater(e_2,e_3)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f532,f123]) ).
fof(f1496,plain,
( ~ sQ8_spl
| ~ sQ97_spl
| ~ greater(e_0,e_3)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f532,f130]) ).
fof(f1497,plain,
( ~ sQ97_spl
| ~ greater(e_0,e_3)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f532,f61]) ).
fof(f1498,definition,
( sQ137_spl
<=> greater(e_0,e_3) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1500,plain,
( sQ137_spl
| ~ greater(e_0,e_3) ),
inference(component_clause,[status(thm)],[f1498]) ).
fof(f1501,plain,
( ~ sQ0_spl
| ~ sQ97_spl
| ~ sQ137_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f1494,f595,f1498,f531,f103]) ).
fof(f1502,plain,
( ~ sQ6_spl
| ~ sQ97_spl
| ~ sQ117_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f1495,f643,f733,f531,f122]) ).
fof(f1503,plain,
( ~ sQ8_spl
| ~ sQ97_spl
| ~ sQ137_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1496,f579,f1498,f531,f129]) ).
fof(f1504,plain,
( ~ sQ97_spl
| ~ sQ137_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f1497,f583,f1498,f531]) ).
fof(f1512,plain,
( ~ sQ5_spl
| ~ sQ100_spl
| ~ greater(e_1,e_2)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f543,f120]) ).
fof(f1513,plain,
( ~ sQ0_spl
| ~ sQ100_spl
| ~ greater(e_0,e_2)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f543,f104]) ).
fof(f1514,plain,
( ~ sQ8_spl
| ~ sQ100_spl
| ~ greater(e_0,e_2)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f543,f130]) ).
fof(f1515,plain,
( ~ sQ100_spl
| ~ greater(e_0,e_2)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f543,f61]) ).
fof(f1516,plain,
( ~ sQ5_spl
| ~ sQ100_spl
| ~ sQ125_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f1512,f643,f843,f542,f119]) ).
fof(f1517,definition,
( sQ138_spl
<=> greater(e_0,e_2) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1519,plain,
( sQ138_spl
| ~ greater(e_0,e_2) ),
inference(component_clause,[status(thm)],[f1517]) ).
fof(f1520,plain,
( ~ sQ0_spl
| ~ sQ100_spl
| ~ sQ138_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f1513,f595,f1517,f542,f103]) ).
fof(f1521,plain,
( ~ sQ8_spl
| ~ sQ100_spl
| ~ sQ138_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1514,f579,f1517,f542,f129]) ).
fof(f1522,plain,
( ~ sQ100_spl
| ~ sQ138_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f1515,f583,f1517,f542]) ).
fof(f1530,plain,
( ~ sQ6_spl
| ~ sQ99_spl
| ~ greater(e_2,e_1)
| ~ greater(e_4,e_2) ),
inference(resolution,[status(thm)],[f539,f123]) ).
fof(f1531,plain,
( ~ sQ0_spl
| ~ sQ99_spl
| ~ greater(e_0,e_1)
| ~ greater(e_4,e_3) ),
inference(resolution,[status(thm)],[f539,f104]) ).
fof(f1532,plain,
( ~ sQ8_spl
| ~ sQ99_spl
| ~ greater(e_0,e_1)
| ~ greater(e_4,e_1) ),
inference(resolution,[status(thm)],[f539,f130]) ).
fof(f1533,plain,
( ~ sQ99_spl
| ~ greater(e_0,e_1)
| ~ greater(e_4,e_4) ),
inference(resolution,[status(thm)],[f539,f61]) ).
fof(f1534,plain,
( ~ sQ6_spl
| ~ sQ99_spl
| ~ sQ130_spl
| ~ sQ111_spl ),
inference(split_clause,[status(thm)],[f1530,f643,f1067,f538,f122]) ).
fof(f1535,definition,
( sQ139_spl
<=> greater(e_0,e_1) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1537,plain,
( sQ139_spl
| ~ greater(e_0,e_1) ),
inference(component_clause,[status(thm)],[f1535]) ).
fof(f1538,plain,
( ~ sQ0_spl
| ~ sQ99_spl
| ~ sQ139_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f1531,f595,f1535,f538,f103]) ).
fof(f1539,plain,
( ~ sQ8_spl
| ~ sQ99_spl
| ~ sQ139_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f1532,f579,f1535,f538,f129]) ).
fof(f1540,plain,
( ~ sQ99_spl
| ~ sQ139_spl
| ~ sQ106_spl ),
inference(split_clause,[status(thm)],[f1533,f583,f1535,f538]) ).
fof(f1548,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ8_spl
| ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ next(e_1,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f550,f120]) ).
fof(f1549,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(e_1,X0)
| ~ next(e_1,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f550,f104]) ).
fof(f1552,definition,
! [X0,X1] :
( sQ140_spl
<=> ( ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1553,plain,
! [X0,X1] :
( ~ sQ140_spl
| ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f1552]) ).
fof(f1555,definition,
( sQ141_spl
<=> next(e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1557,plain,
( sQ141_spl
| ~ next(e_1,e_2) ),
inference(component_clause,[status(thm)],[f1555]) ).
fof(f1558,plain,
( ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ141_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1548,f1552,f1555,f129,f119]) ).
fof(f1559,definition,
( sQ142_spl
<=> next(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1561,plain,
( sQ142_spl
| ~ next(e_1,e_3) ),
inference(component_clause,[status(thm)],[f1559]) ).
fof(f1562,plain,
( ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ142_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f1549,f557,f1559,f129,f103]) ).
fof(f1565,plain,
( sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1557,f45]) ).
fof(f1566,plain,
sQ141_spl,
inference(contradiction_clause,[status(thm)],[f1565]) ).
fof(f1567,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ sQ8_spl
| ~ greater(X1,e_0)
| ~ greater(e_3,X0)
| ~ next(e_3,e_1)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f554,f104]) ).
fof(f1570,definition,
( sQ143_spl
<=> next(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1572,plain,
( sQ143_spl
| ~ next(e_3,e_1) ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1573,plain,
( ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ143_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1567,f625,f1570,f129,f103]) ).
fof(f1576,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ8_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f555,f120]) ).
fof(f1577,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ8_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f555,f104]) ).
fof(f1578,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_1) ),
inference(resolution,[status(thm)],[f555,f130]) ).
fof(f1579,plain,
! [X0] :
( ~ sQ8_spl
| equalish(e_0,X0)
| ~ next(e_0,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_1) ),
inference(resolution,[status(thm)],[f555,f61]) ).
fof(f1580,definition,
( sQ144_spl
<=> next(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1582,plain,
( sQ144_spl
| ~ next(e_2,e_1) ),
inference(component_clause,[status(thm)],[f1580]) ).
fof(f1583,plain,
( ~ sQ5_spl
| ~ sQ8_spl
| sQ92_spl
| ~ sQ91_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f1576,f1580,f493,f496,f129,f119]) ).
fof(f1584,plain,
( ~ sQ0_spl
| ~ sQ8_spl
| sQ96_spl
| ~ sQ95_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f1577,f1570,f511,f514,f129,f103]) ).
fof(f1585,plain,
( ~ sQ8_spl
| sQ96_spl
| ~ sQ95_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f1578,f560,f511,f514,f129]) ).
fof(f1586,plain,
( ~ sQ8_spl
| sQ96_spl
| ~ sQ95_spl
| ~ sQ103_spl ),
inference(split_clause,[status(thm)],[f1579,f564,f511,f514,f129]) ).
fof(f1588,plain,
( ~ sQ5_spl
| ~ sQ101_spl
| ~ greater(e_1,e_0)
| ~ greater(e_1,e_2) ),
inference(resolution,[status(thm)],[f558,f120]) ).
fof(f1589,plain,
( ~ sQ0_spl
| ~ sQ101_spl
| ~ greater(e_0,e_0)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f558,f104]) ).
fof(f1591,plain,
( ~ sQ101_spl
| ~ greater(e_0,e_0)
| ~ greater(e_1,e_4) ),
inference(resolution,[status(thm)],[f558,f61]) ).
fof(f1592,plain,
( ~ sQ5_spl
| ~ sQ101_spl
| ~ sQ91_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f1588,f843,f493,f557,f119]) ).
fof(f1593,plain,
( ~ sQ0_spl
| ~ sQ101_spl
| ~ sQ95_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f1589,f748,f511,f557,f103]) ).
fof(f1595,definition,
( sQ145_spl
<=> greater(e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1597,plain,
( sQ145_spl
| ~ greater(e_1,e_4) ),
inference(component_clause,[status(thm)],[f1595]) ).
fof(f1598,plain,
( ~ sQ101_spl
| ~ sQ95_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f1591,f1595,f511,f557]) ).
fof(f1599,plain,
( ~ sQ5_spl
| ~ sQ109_spl
| ~ greater(e_1,e_0)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f626,f120]) ).
fof(f1600,plain,
( ~ sQ0_spl
| ~ sQ109_spl
| ~ greater(e_0,e_0)
| ~ greater(e_3,e_3) ),
inference(resolution,[status(thm)],[f626,f104]) ).
fof(f1601,plain,
( ~ sQ8_spl
| ~ sQ109_spl
| ~ greater(e_0,e_0)
| ~ greater(e_3,e_1) ),
inference(resolution,[status(thm)],[f626,f130]) ).
fof(f1602,plain,
( ~ sQ109_spl
| ~ greater(e_0,e_0)
| ~ greater(e_3,e_4) ),
inference(resolution,[status(thm)],[f626,f61]) ).
fof(f1603,plain,
( ~ sQ5_spl
| ~ sQ109_spl
| ~ sQ91_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f1599,f816,f493,f625,f119]) ).
fof(f1604,plain,
( ~ sQ0_spl
| ~ sQ109_spl
| ~ sQ95_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f1600,f717,f511,f625,f103]) ).
fof(f1605,definition,
( sQ146_spl
<=> greater(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1607,plain,
( sQ146_spl
| ~ greater(e_3,e_1) ),
inference(component_clause,[status(thm)],[f1605]) ).
fof(f1608,plain,
( ~ sQ8_spl
| ~ sQ109_spl
| ~ sQ95_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f1601,f1605,f511,f625,f129]) ).
fof(f1609,plain,
( ~ sQ109_spl
| ~ sQ95_spl
| ~ sQ136_spl ),
inference(split_clause,[status(thm)],[f1602,f1434,f511,f625]) ).
fof(f1610,plain,
( sQ146_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1607,f53]) ).
fof(f1611,plain,
sQ146_spl,
inference(contradiction_clause,[status(thm)],[f1610]) ).
fof(f1612,plain,
( ~ sQ109_spl
| ~ sQ6_spl
| ~ greater(e_2,e_0)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f123,f626]) ).
fof(f1613,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ6_spl
| equalish(e_2,X0)
| ~ next(e_0,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f123,f555]) ).
fof(f1614,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sQ6_spl
| ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ next(e_1,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f123,f550]) ).
fof(f1620,plain,
( ~ sQ109_spl
| ~ sQ6_spl
| ~ sQ93_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f1612,f816,f500,f122,f625]) ).
fof(f1621,plain,
( ~ sQ8_spl
| ~ sQ6_spl
| sQ94_spl
| ~ sQ93_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f1613,f1580,f500,f503,f122,f129]) ).
fof(f1622,definition,
! [X0,X1] :
( sQ147_spl
<=> ( ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1623,plain,
! [X0,X1] :
( ~ sQ147_spl
| ~ greater(X1,e_2)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ),
inference(component_clause,[status(thm)],[f1622]) ).
fof(f1625,plain,
( ~ sQ8_spl
| ~ sQ6_spl
| ~ sQ141_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1614,f1622,f1555,f122,f129]) ).
fof(f1628,plain,
( ~ sQ109_spl
| ~ sQ7_spl
| ~ greater(e_3,e_0)
| ~ greater(e_3,e_2) ),
inference(resolution,[status(thm)],[f126,f626]) ).
fof(f1629,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ7_spl
| equalish(e_3,X0)
| ~ next(e_0,X0)
| ~ greater(e_3,e_0)
| ~ next(e_2,e_1) ),
inference(resolution,[status(thm)],[f126,f555]) ).
fof(f1630,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sQ7_spl
| ~ greater(X1,e_3)
| ~ greater(e_1,X0)
| ~ next(e_1,e_2)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f126,f550]) ).
fof(f1636,plain,
( ~ sQ109_spl
| ~ sQ7_spl
| ~ sQ88_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f1628,f816,f483,f125,f625]) ).
fof(f1637,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| sQ89_spl
| ~ sQ88_spl
| ~ sQ144_spl ),
inference(split_clause,[status(thm)],[f1629,f1580,f483,f486,f125,f129]) ).
fof(f1638,definition,
! [X0,X1] :
( sQ148_spl
<=> ( ~ greater(X1,e_3)
| ~ greater(e_1,X0)
| ~ cycle(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1641,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ141_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1630,f1638,f1555,f125,f129]) ).
fof(f1644,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ34_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1405,f91]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1405,f89]) ).
fof(f1646,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ34_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1405,f87]) ).
fof(f1647,plain,
! [X0] :
( ~ sQ43_spl
| ~ sQ34_spl
| product(X0,e_2,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1405,f94]) ).
fof(f1648,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f994,f91]) ).
fof(f1649,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ43_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f994,f89]) ).
fof(f1650,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ43_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f994,f87]) ).
fof(f1651,plain,
! [X0] :
( ~ sQ34_spl
| ~ sQ43_spl
| product(X0,e_1,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f994,f94]) ).
fof(f1663,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ1_spl
| equalish(e_1,X0)
| ~ next(e_0,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_1) ),
inference(resolution,[status(thm)],[f107,f555]) ).
fof(f1664,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sQ1_spl
| ~ greater(X1,e_1)
| ~ greater(e_1,X0)
| ~ next(e_1,e_3)
| ~ cycle(X0,X1) ),
inference(resolution,[status(thm)],[f107,f550]) ).
fof(f1670,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| sQ92_spl
| ~ sQ91_spl
| ~ sQ143_spl ),
inference(split_clause,[status(thm)],[f1663,f1570,f493,f496,f106,f129]) ).
fof(f1671,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| ~ sQ142_spl
| sQ140_spl ),
inference(split_clause,[status(thm)],[f1664,f1552,f1559,f106,f129]) ).
fof(f1674,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1307,f91]) ).
fof(f1675,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1307,f89]) ).
fof(f1676,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ74_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1307,f87]) ).
fof(f1677,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ74_spl
| product(X0,e_2,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1307,f94]) ).
fof(f1678,plain,
! [X0,X1] :
( ~ sQ52_spl
| ~ sQ74_spl
| equalish(e_4,X1)
| ~ next(e_3,X1)
| ~ greater(X0,e_0)
| ~ cycle(e_3,X0) ),
inference(resolution,[status(thm)],[f1274,f68]) ).
fof(f1679,plain,
( ~ sQ52_spl
| ~ sQ74_spl
| ~ greater(e_4,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f1274,f66]) ).
fof(f1680,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f1274,f91]) ).
fof(f1681,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1274,f89]) ).
fof(f1682,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ74_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1274,f87]) ).
fof(f1683,plain,
! [X0] :
( ~ sQ52_spl
| ~ sQ74_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1274,f94]) ).
fof(f1684,plain,
( ~ sQ52_spl
| ~ sQ74_spl
| sQ113_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f1678,f698,f701,f367,f292]) ).
fof(f1685,plain,
( ~ sQ52_spl
| ~ sQ74_spl
| ~ sQ107_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1679,f103,f595,f367,f292]) ).
fof(f1686,plain,
( ~ sQ34_spl
| ~ sQ57_spl
| ~ sQ68_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1346,f811]) ).
fof(f1687,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ68_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1346,f91]) ).
fof(f1688,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ68_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1346,f89]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1346,f87]) ).
fof(f1690,plain,
! [X0] :
( ~ sQ57_spl
| ~ sQ68_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1346,f94]) ).
fof(f1695,plain,
( ~ sQ34_spl
| ~ sQ43_spl
| ~ sQ57_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1093,f994]) ).
fof(f1696,plain,
( ~ sQ50_spl
| ~ sQ77_spl
| ~ sQ27_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f921,f1252]) ).
fof(f1697,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1229,f91]) ).
fof(f1698,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1229,f89]) ).
fof(f1699,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ77_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1229,f87]) ).
fof(f1700,plain,
! [X0] :
( ~ sQ50_spl
| ~ sQ77_spl
| product(X0,e_4,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1229,f94]) ).
fof(f1701,plain,
( ~ sQ77_spl
| ~ sQ16_spl
| ~ sQ27_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f922,f1236]) ).
fof(f1702,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ27_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f922,f91]) ).
fof(f1703,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f922,f89]) ).
fof(f1704,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f922,f87]) ).
fof(f1705,plain,
! [X0] :
( ~ sQ16_spl
| ~ sQ27_spl
| product(X0,e_3,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f922,f94]) ).
fof(f1758,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ6_spl
| equalish(e_1,X0)
| ~ next(e_2,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_2) ),
inference(resolution,[status(thm)],[f437,f107]) ).
fof(f1759,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_2,X0)
| ~ next(e_2,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_2) ),
inference(resolution,[status(thm)],[f437,f123]) ).
fof(f1760,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ6_spl
| equalish(e_0,X0)
| ~ next(e_2,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_2) ),
inference(resolution,[status(thm)],[f437,f130]) ).
fof(f1761,plain,
! [X0] :
( ~ sQ6_spl
| equalish(e_0,X0)
| ~ next(e_2,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_2) ),
inference(resolution,[status(thm)],[f437,f61]) ).
fof(f1762,definition,
( sQ149_spl
<=> next(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1764,plain,
( sQ149_spl
| ~ next(e_3,e_2) ),
inference(component_clause,[status(thm)],[f1762]) ).
fof(f1765,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| sQ124_spl
| ~ sQ91_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f1758,f1762,f493,f839,f122,f106]) ).
fof(f1766,plain,
( ~ sQ6_spl
| sQ126_spl
| ~ sQ93_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f1759,f451,f500,f849,f122]) ).
fof(f1767,definition,
! [X0] :
( sQ150_spl
<=> ( equalish(e_0,X0)
| ~ next(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f1770,plain,
( ~ sQ8_spl
| ~ sQ6_spl
| sQ150_spl
| ~ sQ95_spl
| ~ sQ141_spl ),
inference(split_clause,[status(thm)],[f1760,f1555,f511,f1767,f122,f129]) ).
fof(f1771,plain,
( ~ sQ6_spl
| sQ150_spl
| ~ sQ95_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f1761,f534,f511,f1767,f122]) ).
fof(f1797,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_3,e_3) ),
inference(resolution,[status(thm)],[f610,f107]) ).
fof(f1798,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ1_spl
| equalish(e_2,X0)
| ~ next(e_1,X0)
| ~ greater(e_2,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f610,f123]) ).
fof(f1799,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ1_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_1,e_3) ),
inference(resolution,[status(thm)],[f610,f130]) ).
fof(f1800,plain,
! [X0] :
( ~ sQ1_spl
| equalish(e_0,X0)
| ~ next(e_1,X0)
| ~ greater(e_0,e_0)
| ~ next(e_4,e_3) ),
inference(resolution,[status(thm)],[f610,f61]) ).
fof(f1801,plain,
( ~ sQ1_spl
| sQ84_spl
| ~ sQ91_spl
| ~ sQ110_spl ),
inference(split_clause,[status(thm)],[f1797,f629,f493,f408,f106]) ).
fof(f1802,definition,
( sQ151_spl
<=> next(e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1804,plain,
( sQ151_spl
| ~ next(e_2,e_3) ),
inference(component_clause,[status(thm)],[f1802]) ).
fof(f1805,plain,
( ~ sQ6_spl
| ~ sQ1_spl
| sQ129_spl
| ~ sQ93_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f1798,f1802,f500,f1063,f106,f122]) ).
fof(f1806,definition,
! [X0] :
( sQ152_spl
<=> ( equalish(e_0,X0)
| ~ next(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1809,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| sQ152_spl
| ~ sQ95_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f1799,f1559,f511,f1806,f106,f129]) ).
fof(f1810,plain,
( ~ sQ1_spl
| sQ152_spl
| ~ sQ95_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f1800,f599,f511,f1806,f106]) ).
fof(f1812,plain,
( ~ sQ1_spl
| ~ sQ112_spl
| ~ greater(e_1,e_0) ),
inference(resolution,[status(thm)],[f699,f107]) ).
fof(f1813,plain,
( ~ sQ1_spl
| ~ sQ112_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f1812,f493,f698,f106]) ).
fof(f1814,plain,
( ~ sQ6_spl
| ~ sQ120_spl
| ~ greater(e_2,e_0) ),
inference(resolution,[status(thm)],[f799,f123]) ).
fof(f1815,plain,
( ~ sQ6_spl
| ~ sQ120_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1814,f500,f798,f122]) ).
fof(f1816,plain,
( ~ sQ37_spl
| ~ sQ23_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f1103,f292,f183,f235]) ).
fof(f1817,plain,
( ~ sQ57_spl
| ~ sQ68_spl
| ~ sQ35_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f797,f1346]) ).
fof(f1818,plain,
( ~ sQ57_spl
| ~ sQ68_spl
| ~ sQ35_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1817,f335,f225,f348,f308]) ).
fof(f1819,plain,
( ~ sQ74_spl
| ~ sQ52_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1151,f368]) ).
fof(f1821,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ5_spl
| equalish(e_1,X0)
| ~ next(e_1,X0)
| ~ greater(e_1,e_0)
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f120,f610]) ).
fof(f1829,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| sQ84_spl
| ~ sQ91_spl
| ~ sQ151_spl ),
inference(split_clause,[status(thm)],[f1821,f1802,f493,f408,f119,f106]) ).
fof(f1834,plain,
( sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1804,f46]) ).
fof(f1835,plain,
sQ151_spl,
inference(contradiction_clause,[status(thm)],[f1834]) ).
fof(f1850,plain,
( ~ sQ37_spl
| ~ sQ23_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f184,f1050]) ).
fof(f1862,plain,
( ~ sQ23_spl
| ~ sQ37_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f236,f697]) ).
fof(f1878,plain,
( ~ sQ68_spl
| ~ sQ57_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f309,f1350]) ).
fof(f1886,plain,
( ~ sQ74_spl
| ~ sQ52_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f293,f1278]) ).
fof(f1894,plain,
( ~ sQ43_spl
| ~ sQ34_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f223,f999]) ).
fof(f1918,plain,
( ~ sQ131_spl
| ~ greater(e_0,e_0) ),
inference(resolution,[status(thm)],[f1195,f61]) ).
fof(f1921,plain,
( ~ sQ124_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f840,f46]) ).
fof(f1922,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1921,f74]) ).
fof(f1923,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f1922]) ).
fof(f1925,plain,
( ~ sQ6_spl
| ~ sQ147_spl
| ~ greater(e_2,e_2)
| ~ greater(e_1,e_2) ),
inference(resolution,[status(thm)],[f1623,f123]) ).
fof(f1926,plain,
( ~ sQ1_spl
| ~ sQ147_spl
| ~ greater(e_1,e_2)
| ~ greater(e_1,e_3) ),
inference(resolution,[status(thm)],[f1623,f107]) ).
fof(f1928,plain,
( ~ sQ147_spl
| ~ greater(e_0,e_2)
| ~ greater(e_1,e_4) ),
inference(resolution,[status(thm)],[f1623,f61]) ).
fof(f1929,plain,
( ~ sQ6_spl
| ~ sQ147_spl
| ~ sQ127_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f1925,f843,f853,f1622,f122]) ).
fof(f1930,plain,
( ~ sQ1_spl
| ~ sQ147_spl
| ~ sQ125_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f1926,f748,f843,f1622,f106]) ).
fof(f1932,plain,
( ~ sQ147_spl
| ~ sQ138_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f1928,f1595,f1517,f1622]) ).
fof(model,axiom,
( ~ sQ0_spl
| sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sQ6_spl
| ~ sQ7_spl
| sQ8_spl
| ~ sQ9_spl
| ~ sQ10_spl
| ~ sQ11_spl
| ~ sQ13_spl
| sQ14_spl
| ~ sQ15_spl
| sQ16_spl
| ~ sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| ~ sQ21_spl
| ~ sQ22_spl
| sQ23_spl
| ~ sQ24_spl
| ~ sQ25_spl
| ~ sQ26_spl
| sQ27_spl
| ~ sQ28_spl
| sQ29_spl
| ~ sQ30_spl
| ~ sQ31_spl
| ~ sQ32_spl
| ~ sQ33_spl
| sQ34_spl
| ~ sQ35_spl
| ~ sQ36_spl
| sQ37_spl
| ~ sQ38_spl
| ~ sQ39_spl
| ~ sQ40_spl
| ~ sQ41_spl
| ~ sQ42_spl
| sQ43_spl
| sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| ~ sQ49_spl
| sQ50_spl
| ~ sQ51_spl
| sQ52_spl
| ~ sQ53_spl
| ~ sQ54_spl
| ~ sQ55_spl
| ~ sQ56_spl
| sQ57_spl
| ~ sQ58_spl
| ~ sQ59_spl
| sQ60_spl
| ~ sQ64_spl
| ~ sQ65_spl
| ~ sQ66_spl
| sQ67_spl
| sQ68_spl
| ~ sQ69_spl
| ~ sQ70_spl
| ~ sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| sQ74_spl
| ~ sQ75_spl
| ~ sQ76_spl
| sQ77_spl
| ~ sQ78_spl
| ~ sQ79_spl
| ~ sQ80_spl
| ~ sQ81_spl
| ~ sQ82_spl
| sQ83_spl
| ~ sQ84_spl
| ~ sQ86_spl
| sQ87_spl
| sQ88_spl
| ~ sQ89_spl
| ~ sQ90_spl
| sQ91_spl
| sQ92_spl
| sQ93_spl
| ~ sQ94_spl
| ~ sQ95_spl
| ~ sQ98_spl
| ~ sQ99_spl
| ~ sQ102_spl
| ~ sQ103_spl
| ~ sQ104_spl
| sQ105_spl
| sQ107_spl
| ~ sQ108_spl
| ~ sQ109_spl
| ~ sQ110_spl
| sQ111_spl
| ~ sQ112_spl
| sQ113_spl
| ~ sQ117_spl
| ~ sQ120_spl
| sQ122_spl
| sQ123_spl
| ~ sQ124_spl
| ~ sQ125_spl
| sQ129_spl
| sQ130_spl
| sQ131_spl
| ~ sQ134_spl
| ~ sQ137_spl
| ~ sQ138_spl
| sQ141_spl
| ~ sQ142_spl
| ~ sQ144_spl
| sQ146_spl
| sQ147_spl
| ~ sQ149_spl
| sQ151_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP125-3.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % 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 20:01:36 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.14/0.50 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.14/0.50 % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.52 % Elapsed time: 0.159640 seconds
% 0.14/0.52 % CPU time: 1.016992 seconds
% 0.14/0.52 % Total memory used: 24.481 MB
% 0.14/0.52 % Net memory used: 23.936 MB
%------------------------------------------------------------------------------