%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP125-2.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:32:43 PM UTC 2026
% Result : Unsatisfiable 6.71s 1.58s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 157
% Syntax : Number of formulae : 1113 ( 116 unt; 122 def)
% Number of atoms : 2960 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 3550 (1703 ~;1725 |; 0 &)
% ( 122 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 128 ( 127 usr; 123 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 192 ( 192 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
next(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
greater(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,X1] :
( ~ greater(Y,X1)
| ~ next(X,X1)
| ~ product(X,e_1,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X,Y] :
( product(X,Y,e_5)
| product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
! [X,Y,Z1,Z2] :
( product(Z1,Z2,X)
| ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,plain,
next(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f59,plain,
greater(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f61,plain,
! [Y,X1] :
( ~ greater(Y,X1)
| ! [X] :
( ~ next(X,X1)
| ~ product(X,e_1,Y) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ next(X0,X2)
| ~ product(X0,e_1,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f64,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f65,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f66,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f67,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f68,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f69,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f70,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f71,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f72,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f73,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f74,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f75,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f76,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f77,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f78,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f79,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f80,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f81,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f82,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f83,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f84,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f85,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f86,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f87,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f88,plain,
! [X0,X1] :
( product(X0,X1,e_5)
| 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)],[f41]) ).
fof(f89,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f43]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f96,plain,
! [X,Z1,Z2] :
( product(Z1,Z2,X)
| ! [Y] :
( ~ product(Y,X,Z2)
| ~ product(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f46]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( product(X2,X3,X0)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f100,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f90,f95]) ).
fof(f102,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f92,f95]) ).
fof(f103,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f94,f95]) ).
fof(f105,plain,
! [X0] :
( product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f88,f67]) ).
fof(f106,plain,
! [X0] :
( product(e_4,X0,e_5)
| 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)],[f88,f66]) ).
fof(f107,plain,
! [X0] :
( product(e_3,X0,e_5)
| 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)],[f88,f65]) ).
fof(f108,plain,
! [X0] :
( product(e_2,X0,e_5)
| 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)],[f88,f64]) ).
fof(f109,plain,
! [X0] :
( product(e_1,X0,e_5)
| 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)],[f88,f63]) ).
fof(f111,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f105,f66]) ).
fof(f112,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f105,f65]) ).
fof(f113,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f105,f64]) ).
fof(f114,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f105,f63]) ).
fof(f121,definition,
( sQ2_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ2_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,definition,
( sQ3_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ3_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f131,definition,
( sQ5_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f132,plain,
( ~ sQ5_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,definition,
( sQ6_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( ~ sQ6_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,definition,
( sQ7_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ7_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ8_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ8_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
( sQ9_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ9_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f111,f131,f134,f137,f140,f143]) ).
fof(f147,definition,
( sQ10_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( ~ sQ10_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,definition,
( sQ11_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ11_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,definition,
( sQ12_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ12_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,definition,
( sQ13_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ13_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,definition,
( sQ14_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ14_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f112,f147,f150,f153,f156,f159]) ).
fof(f163,definition,
( sQ15_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f164,plain,
( ~ sQ15_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f163]) ).
fof(f166,definition,
( sQ16_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ16_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,definition,
( sQ17_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ17_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,definition,
( sQ18_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ18_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,definition,
( sQ19_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ19_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f113,f163,f166,f169,f172,f175]) ).
fof(f179,definition,
( sQ20_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f180,plain,
( ~ sQ20_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,definition,
( sQ21_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ21_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f184,plain,
( sQ21_spl
| ~ product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,definition,
( sQ22_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ22_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,definition,
( sQ23_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ23_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,definition,
( sQ24_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ24_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f114,f179,f182,f185,f188,f191]) ).
fof(f195,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f106,f67]) ).
fof(f196,plain,
( product(e_4,e_4,e_5)
| 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)],[f106,f66]) ).
fof(f197,plain,
( product(e_4,e_3,e_5)
| 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)],[f106,f65]) ).
fof(f198,plain,
( product(e_4,e_2,e_5)
| 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)],[f106,f64]) ).
fof(f199,plain,
( product(e_4,e_1,e_5)
| 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)],[f106,f63]) ).
fof(f200,definition,
( sQ25_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ25_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,definition,
( sQ26_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ26_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,definition,
( sQ27_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ27_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f208,plain,
( sQ27_spl
| ~ product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,definition,
( sQ28_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ28_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ29_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ29_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f195,f200,f203,f206,f209,f212]) ).
fof(f216,definition,
( sQ30_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f217,plain,
( ~ sQ30_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f216]) ).
fof(f219,definition,
( sQ31_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ31_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,definition,
( sQ32_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ32_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,definition,
( sQ33_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f228,definition,
( sQ34_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ34_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f196,f216,f219,f222,f225,f228]) ).
fof(f232,definition,
( sQ35_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f233,plain,
( ~ sQ35_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f232]) ).
fof(f235,definition,
( sQ36_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ36_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ37_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ37_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
( sQ38_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ38_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
( sQ39_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ39_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f197,f232,f235,f238,f241,f244]) ).
fof(f248,definition,
( sQ40_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f249,plain,
( ~ sQ40_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f248]) ).
fof(f251,definition,
( sQ41_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( ~ sQ41_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,definition,
( sQ42_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ42_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,definition,
( sQ43_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ43_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
( sQ44_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ44_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f198,f248,f251,f254,f257,f260]) ).
fof(f264,definition,
( sQ45_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( ~ sQ45_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,definition,
( sQ46_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( ~ sQ46_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,definition,
( sQ47_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( ~ sQ47_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f272,plain,
( sQ47_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,definition,
( sQ48_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f274,plain,
( ~ sQ48_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f273]) ).
fof(f276,definition,
( sQ49_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f277,plain,
( ~ sQ49_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f278,plain,
( sQ49_spl
| ~ product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f276]) ).
fof(f279,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f199,f264,f267,f270,f273,f276]) ).
fof(f280,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f107,f67]) ).
fof(f281,plain,
( product(e_3,e_4,e_5)
| 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)],[f107,f66]) ).
fof(f282,plain,
( product(e_3,e_3,e_5)
| 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)],[f107,f65]) ).
fof(f283,plain,
( product(e_3,e_2,e_5)
| 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)],[f107,f64]) ).
fof(f284,plain,
( product(e_3,e_1,e_5)
| 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)],[f107,f63]) ).
fof(f285,definition,
( sQ50_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ50_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,definition,
( sQ51_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ51_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ52_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ52_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ53_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ53_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
( sQ54_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ54_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f280,f285,f288,f291,f294,f297]) ).
fof(f301,definition,
( sQ55_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ55_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f303,plain,
( sQ55_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,definition,
( sQ56_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ56_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,definition,
( sQ57_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ57_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,definition,
( sQ58_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f311,plain,
( ~ sQ58_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,definition,
( sQ59_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ59_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f281,f301,f304,f307,f310,f313]) ).
fof(f317,definition,
( sQ60_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ60_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,definition,
( sQ61_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ61_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,definition,
( sQ62_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f326,definition,
( sQ63_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ63_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,definition,
( sQ64_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( ~ sQ64_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f282,f317,f320,f323,f326,f329]) ).
fof(f333,definition,
( sQ65_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f334,plain,
( ~ sQ65_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
( sQ66_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ66_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,definition,
( sQ67_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( ~ sQ67_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,definition,
( sQ68_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( ~ sQ68_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,definition,
( sQ69_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ69_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f283,f333,f336,f339,f342,f345]) ).
fof(f349,definition,
( sQ70_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ70_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,definition,
( sQ71_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( ~ sQ71_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,definition,
( sQ72_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( ~ sQ72_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,definition,
( sQ73_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( ~ sQ73_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,definition,
( sQ74_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ74_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f284,f349,f352,f355,f358,f361]) ).
fof(f365,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f108,f67]) ).
fof(f366,plain,
( product(e_2,e_4,e_5)
| 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)],[f108,f66]) ).
fof(f367,plain,
( product(e_2,e_3,e_5)
| 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)],[f108,f65]) ).
fof(f368,plain,
( product(e_2,e_2,e_5)
| 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)],[f108,f64]) ).
fof(f369,plain,
( product(e_2,e_1,e_5)
| 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)],[f108,f63]) ).
fof(f370,definition,
( sQ75_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ75_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
( sQ76_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ76_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,definition,
( sQ77_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ77_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,definition,
( sQ78_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ78_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ79_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ79_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f365,f370,f373,f376,f379,f382]) ).
fof(f386,definition,
( sQ80_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ80_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,definition,
( sQ81_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ81_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,definition,
( sQ82_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ82_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ83_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ83_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ84_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ84_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f366,f386,f389,f392,f395,f398]) ).
fof(f402,definition,
( sQ85_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ85_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,definition,
( sQ86_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ86_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ87_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ87_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ88_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ88_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ89_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ89_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f367,f402,f405,f408,f411,f414]) ).
fof(f418,definition,
( sQ90_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ90_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ91_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f424,definition,
( sQ92_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ92_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ93_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ93_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ94_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ94_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f368,f418,f421,f424,f427,f430]) ).
fof(f434,definition,
( sQ95_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ95_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ96_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ96_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ97_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ97_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,definition,
( sQ98_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ98_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ99_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ99_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f369,f434,f437,f440,f443,f446]) ).
fof(f450,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f109,f67]) ).
fof(f451,plain,
( product(e_1,e_4,e_5)
| 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)],[f109,f66]) ).
fof(f452,plain,
( product(e_1,e_3,e_5)
| 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)],[f109,f65]) ).
fof(f453,plain,
( product(e_1,e_2,e_5)
| 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)],[f109,f64]) ).
fof(f454,plain,
( product(e_1,e_1,e_5)
| 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)],[f109,f63]) ).
fof(f455,definition,
( sQ100_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ100_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,definition,
( sQ101_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ101_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ102_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ102_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,definition,
( sQ103_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ103_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,definition,
( sQ104_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ104_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f450,f455,f458,f461,f464,f467]) ).
fof(f471,definition,
( sQ105_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ105_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ106_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ106_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
( sQ107_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ107_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f479,plain,
( sQ107_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,definition,
( sQ108_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ108_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,definition,
( sQ109_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ109_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f451,f471,f474,f477,f480,f483]) ).
fof(f487,definition,
( sQ110_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ110_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ111_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ111_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ112_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ112_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,definition,
( sQ113_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( ~ sQ113_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
( sQ114_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ114_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f452,f487,f490,f493,f496,f499]) ).
fof(f503,definition,
( sQ115_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ115_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ116_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ116_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,definition,
( sQ117_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( ~ sQ117_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,definition,
( sQ118_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ118_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ119_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ119_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f453,f503,f506,f509,f512,f515]) ).
fof(f519,definition,
( sQ120_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f522,definition,
( sQ121_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( ~ sQ121_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,definition,
( sQ122_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f526,plain,
( ~ sQ122_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,definition,
( sQ123_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ123_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,definition,
( sQ124_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ124_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f454,f519,f522,f525,f528,f531]) ).
fof(f538,plain,
( ~ sQ24_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f192,f102]) ).
fof(f543,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f538,f71]) ).
fof(f544,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f543]) ).
fof(f548,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f189,f90]) ).
fof(f549,plain,
! [X0] :
( ~ sQ23_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f189,f97]) ).
fof(f553,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f186,f548]) ).
fof(f555,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f186,f94]) ).
fof(f556,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f186,f92]) ).
fof(f558,plain,
! [X0] :
( ~ sQ22_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f186,f97]) ).
fof(f559,plain,
( ~ sQ23_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f553,f78]) ).
fof(f560,plain,
( ~ sQ23_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f559]) ).
fof(f562,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f183,f94]) ).
fof(f563,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f183,f92]) ).
fof(f565,plain,
! [X0] :
( ~ sQ21_spl
| product(X0,e_2,e_1)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f183,f97]) ).
fof(f571,plain,
( ~ sQ20_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f180,f103]) ).
fof(f578,plain,
( ~ sQ19_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f176,f102]) ).
fof(f583,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f578,f75]) ).
fof(f584,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f583]) ).
fof(f585,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f173,f94]) ).
fof(f587,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f173,f90]) ).
fof(f592,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f170,f587]) ).
fof(f593,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f170,f94]) ).
fof(f596,plain,
! [X0] :
( ~ sQ17_spl
| product(X0,e_3,e_2)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f170,f97]) ).
fof(f597,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f592,f78]) ).
fof(f598,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( ~ sQ16_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f167,f103]) ).
fof(f607,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f571,f84]) ).
fof(f608,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f607]) ).
fof(f609,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f164,f94]) ).
fof(f610,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f164,f92]) ).
fof(f612,plain,
! [X0] :
( ~ sQ15_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f164,f97]) ).
fof(f616,plain,
( ~ sQ14_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f160,f102]) ).
fof(f621,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f616,f79]) ).
fof(f622,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f621]) ).
fof(f623,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f157,f94]) ).
fof(f626,plain,
! [X0] :
( ~ sQ13_spl
| product(X0,e_4,e_3)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f157,f97]) ).
fof(f632,plain,
( ~ sQ12_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f154,f103]) ).
fof(f639,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f151,f94]) ).
fof(f640,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f151,f92]) ).
fof(f641,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f151,f90]) ).
fof(f646,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f148,f641]) ).
fof(f647,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f148,f610]) ).
fof(f651,plain,
! [X0] :
( ~ sQ10_spl
| product(X0,e_1,e_3)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f148,f97]) ).
fof(f652,plain,
( ~ sQ11_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f646,f68]) ).
fof(f653,plain,
( ~ sQ11_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f652]) ).
fof(f654,plain,
( ~ sQ9_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f144,f102]) ).
fof(f659,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f654,f83]) ).
fof(f660,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f659]) ).
fof(f661,plain,
( ~ sQ8_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f141,f103]) ).
fof(f666,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f661,f87]) ).
fof(f667,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f666]) ).
fof(f668,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f138,f556]) ).
fof(f669,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f138,f94]) ).
fof(f670,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f138,f92]) ).
fof(f672,plain,
! [X0] :
( ~ sQ7_spl
| product(X0,e_3,e_4)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f138,f97]) ).
fof(f673,plain,
( ~ sQ22_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f668,f80]) ).
fof(f674,plain,
( ~ sQ22_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f673]) ).
fof(f675,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f135,f640]) ).
fof(f677,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f135,f92]) ).
fof(f679,plain,
! [X0] :
( ~ sQ6_spl
| product(X0,e_2,e_4)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f135,f97]) ).
fof(f680,plain,
( ~ sQ11_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f675,f82]) ).
fof(f681,plain,
( ~ sQ11_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f680]) ).
fof(f682,plain,
( ~ sQ15_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f647,f77]) ).
fof(f683,plain,
( ~ sQ15_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f682]) ).
fof(f684,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f632,f86]) ).
fof(f685,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f684]) ).
fof(f686,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f132,f610]) ).
fof(f687,plain,
! [X0] :
( ~ sQ5_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f132,f94]) ).
fof(f690,plain,
! [X0] :
( ~ sQ5_spl
| product(X0,e_1,e_4)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f132,f97]) ).
fof(f691,plain,
( ~ sQ15_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f686,f81]) ).
fof(f692,plain,
( ~ sQ15_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f691]) ).
fof(f696,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f277,f90]) ).
fof(f697,plain,
! [X0] :
( ~ sQ49_spl
| product(X0,e_5,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f277,f97]) ).
fof(f699,plain,
( ~ sQ48_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f274,f102]) ).
fof(f704,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f699,f70]) ).
fof(f705,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f704]) ).
fof(f707,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f271,f94]) ).
fof(f710,plain,
! [X0] :
( ~ sQ47_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f271,f97]) ).
fof(f716,plain,
( ~ sQ47_spl
| ~ sQ49_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f696,f271]) ).
fof(f718,plain,
( ~ sQ47_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f716,f79]) ).
fof(f719,plain,
( ~ sQ47_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f718]) ).
fof(f720,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f268,f562]) ).
fof(f723,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f268,f92]) ).
fof(f725,plain,
! [X0] :
( ~ sQ46_spl
| product(X0,e_2,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f268,f97]) ).
fof(f726,plain,
( ~ sQ21_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f720,f83]) ).
fof(f727,plain,
( ~ sQ21_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f726]) ).
fof(f728,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f600,f85]) ).
fof(f729,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f728]) ).
fof(f731,plain,
( ~ sQ45_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f265,f103]) ).
fof(f736,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f731,f80]) ).
fof(f737,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f736]) ).
fof(f738,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f261,f94]) ).
fof(f741,plain,
! [X0] :
( ~ sQ44_spl
| product(X0,e_5,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f261,f97]) ).
fof(f746,plain,
( ~ sQ43_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f258,f102]) ).
fof(f753,plain,
( ~ sQ17_spl
| ~ sQ42_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f255,f593]) ).
fof(f755,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f255,f92]) ).
fof(f757,plain,
! [X0] :
( ~ sQ42_spl
| product(X0,e_3,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f255,f97]) ).
fof(f758,plain,
( ~ sQ17_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f753,f83]) ).
fof(f759,plain,
( ~ sQ17_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f758]) ).
fof(f761,plain,
( ~ sQ41_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f252,f103]) ).
fof(f768,plain,
( ~ sQ15_spl
| ~ sQ40_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f249,f609]) ).
fof(f769,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f249,f94]) ).
fof(f770,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f249,f92]) ).
fof(f772,plain,
! [X0] :
( ~ sQ40_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f249,f97]) ).
fof(f773,plain,
( ~ sQ15_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f768,f83]) ).
fof(f774,plain,
( ~ sQ15_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f773]) ).
fof(f778,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f245,f94]) ).
fof(f781,plain,
! [X0] :
( ~ sQ39_spl
| product(X0,e_5,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f245,f97]) ).
fof(f782,plain,
( ~ sQ38_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f242,f102]) ).
fof(f787,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f782,f78]) ).
fof(f788,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f787]) ).
fof(f790,plain,
( ~ sQ37_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f239,f103]) ).
fof(f797,plain,
( ~ sQ11_spl
| ~ sQ36_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f236,f639]) ).
fof(f800,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f236,f90]) ).
fof(f801,plain,
! [X0] :
( ~ sQ36_spl
| product(X0,e_2,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f236,f97]) ).
fof(f802,plain,
( ~ sQ11_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f797,f83]) ).
fof(f803,plain,
( ~ sQ11_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f802]) ).
fof(f804,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f233,f770]) ).
fof(f806,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f233,f92]) ).
fof(f808,plain,
! [X0] :
( ~ sQ35_spl
| product(X0,e_1,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f233,f97]) ).
fof(f809,plain,
( ~ sQ40_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f804,f77]) ).
fof(f810,plain,
( ~ sQ40_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f809]) ).
fof(f811,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f746,f74]) ).
fof(f812,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f811]) ).
fof(f813,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f761,f81]) ).
fof(f814,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f813]) ).
fof(f817,plain,
( ~ sQ34_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f229,f100]) ).
fof(f821,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f817,f87]) ).
fof(f822,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f821]) ).
fof(f825,plain,
( ~ sQ32_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f223,f100]) ).
fof(f829,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f825,f78]) ).
fof(f830,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f829]) ).
fof(f833,plain,
( ~ sQ31_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f220,f100]) ).
fof(f837,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f833,f74]) ).
fof(f838,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f837]) ).
fof(f841,plain,
( ~ sQ30_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f217,f100]) ).
fof(f845,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f841,f70]) ).
fof(f846,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f845]) ).
fof(f852,plain,
( ~ sQ29_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f213,f103]) ).
fof(f861,plain,
( ~ sQ28_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f210,f102]) ).
fof(f867,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f861,f87]) ).
fof(f868,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f867]) ).
fof(f869,plain,
( ~ sQ5_spl
| ~ sQ27_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f207,f690]) ).
fof(f870,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f207,f94]) ).
fof(f871,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f207,f92]) ).
fof(f873,plain,
! [X0] :
( ~ sQ27_spl
| product(X0,e_3,e_5)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f207,f97]) ).
fof(f889,plain,
( ~ sQ5_spl
| ~ sQ26_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f204,f690]) ).
fof(f890,plain,
( ~ sQ46_spl
| ~ sQ26_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f204,f723]) ).
fof(f891,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f204,f94]) ).
fof(f894,plain,
! [X0] :
( ~ sQ26_spl
| product(X0,e_2,e_5)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f204,f97]) ).
fof(f898,plain,
( ~ sQ5_spl
| ~ sQ25_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f201,f690]) ).
fof(f899,plain,
( ~ sQ40_spl
| ~ sQ25_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f201,f770]) ).
fof(f903,plain,
! [X0] :
( ~ sQ25_spl
| product(X0,e_1,e_5)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f201,f97]) ).
fof(f906,plain,
( ~ sQ40_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f899,f85]) ).
fof(f907,plain,
( ~ sQ40_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f906]) ).
fof(f908,plain,
( ~ sQ25_spl
| ~ sQ6_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f679,f201]) ).
fof(f912,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ6_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f908,f97]) ).
fof(f919,plain,
( ~ sQ25_spl
| ~ sQ6_spl
| ~ sQ18_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f585,f908]) ).
fof(f920,plain,
( ~ sQ25_spl
| ~ sQ6_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f919,f71]) ).
fof(f921,plain,
( ~ sQ25_spl
| ~ sQ6_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f920]) ).
fof(f922,plain,
( ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f852,f83]) ).
fof(f923,plain,
~ sQ29_spl,
inference(contradiction_clause,[status(thm)],[f922]) ).
fof(f925,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f362,f94]) ).
fof(f926,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f362,f92]) ).
fof(f928,plain,
! [X0] :
( ~ sQ74_spl
| product(X0,e_5,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f362,f97]) ).
fof(f932,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f359,f94]) ).
fof(f933,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f359,f92]) ).
fof(f935,plain,
! [X0] :
( ~ sQ73_spl
| product(X0,e_4,e_1)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f359,f97]) ).
fof(f938,plain,
( ~ sQ72_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f356,f102]) ).
fof(f945,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f938,f69]) ).
fof(f946,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f945]) ).
fof(f949,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f353,f92]) ).
fof(f953,plain,
( ~ sQ70_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f350,f103]) ).
fof(f958,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f953,f76]) ).
fof(f959,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f958]) ).
fof(f960,plain,
( ~ sQ74_spl
| ~ sQ69_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f346,f926]) ).
fof(f962,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f346,f92]) ).
fof(f964,plain,
! [X0] :
( ~ sQ69_spl
| product(X0,e_5,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f346,f97]) ).
fof(f965,plain,
( ~ sQ74_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f960,f72]) ).
fof(f966,plain,
( ~ sQ74_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f965]) ).
fof(f967,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f343,f94]) ).
fof(f968,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f343,f92]) ).
fof(f970,plain,
! [X0] :
( ~ sQ68_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f343,f97]) ).
fof(f972,plain,
( ~ sQ67_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f340,f102]) ).
fof(f979,plain,
( ~ sQ66_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f337,f103]) ).
fof(f984,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f979,f77]) ).
fof(f985,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f984]) ).
fof(f989,plain,
! [X0] :
( ~ sQ65_spl
| product(X0,e_1,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f334,f97]) ).
fof(f991,plain,
( ~ sQ68_spl
| ~ sQ73_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f933,f343]) ).
fof(f993,plain,
( ~ sQ68_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f991,f72]) ).
fof(f994,plain,
( ~ sQ68_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f993]) ).
fof(f995,plain,
( ~ sQ71_spl
| ~ sQ21_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f562,f353]) ).
fof(f996,plain,
( ~ sQ71_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f995,f79]) ).
fof(f997,plain,
( ~ sQ71_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f996]) ).
fof(f998,plain,
( ~ sQ5_spl
| ~ sQ27_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f869,f358,f206,f131]) ).
fof(f999,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f790,f82]) ).
fof(f1000,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f999]) ).
fof(f1004,plain,
( ~ sQ65_spl
| ~ sQ40_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f769,f334]) ).
fof(f1005,plain,
( ~ sQ65_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1004,f78]) ).
fof(f1006,plain,
( ~ sQ65_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1005]) ).
fof(f1010,plain,
( ~ sQ65_spl
| ~ sQ15_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f609,f334]) ).
fof(f1011,plain,
( ~ sQ65_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1010,f79]) ).
fof(f1012,plain,
( ~ sQ65_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1011]) ).
fof(f1013,plain,
( ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f972,f73]) ).
fof(f1014,plain,
~ sQ67_spl,
inference(contradiction_clause,[status(thm)],[f1013]) ).
fof(f1015,plain,
( ~ sQ46_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f890,f84]) ).
fof(f1016,plain,
( ~ sQ46_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1015]) ).
fof(f1017,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ26_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f889,f62]) ).
fof(f1022,plain,
( ~ sQ5_spl
| ~ sQ26_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f1017,f58]) ).
fof(f1025,plain,
( ~ sQ5_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1022,f48]) ).
fof(f1026,plain,
( ~ sQ5_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1025]) ).
fof(f1029,plain,
( ~ sQ64_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f330,f100]) ).
fof(f1033,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1029,f86]) ).
fof(f1034,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f1033]) ).
fof(f1038,plain,
( ~ sQ63_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f327,f100]) ).
fof(f1044,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1038,f82]) ).
fof(f1045,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f1044]) ).
fof(f1048,plain,
( ~ sQ61_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f321,f100]) ).
fof(f1052,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1048,f73]) ).
fof(f1053,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1052]) ).
fof(f1057,plain,
( ~ sQ60_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f318,f100]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ59_spl
| product(X0,e_5,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f314,f97]) ).
fof(f1067,plain,
( ~ sQ58_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f311,f103]) ).
fof(f1072,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1067,f78]) ).
fof(f1073,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f1072]) ).
fof(f1074,plain,
( ~ sQ57_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f308,f102]) ).
fof(f1079,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1074,f82]) ).
fof(f1080,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f1079]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f305,f94]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f302,f94]) ).
fof(f1086,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f302,f92]) ).
fof(f1087,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f302,f90]) ).
fof(f1088,plain,
! [X0] :
( ~ sQ55_spl
| product(X0,e_1,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f302,f97]) ).
fof(f1089,plain,
( ~ sQ54_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f298,f103]) ).
fof(f1094,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1089,f79]) ).
fof(f1095,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f1094]) ).
fof(f1096,plain,
( ~ sQ55_spl
| ~ sQ35_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f808,f302]) ).
fof(f1097,plain,
( ~ sQ56_spl
| ~ sQ35_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f808,f305]) ).
fof(f1098,plain,
( ~ sQ59_spl
| ~ sQ35_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f808,f314]) ).
fof(f1099,plain,
( ~ sQ59_spl
| ~ sQ35_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f1098,f185,f232,f313]) ).
fof(f1103,plain,
( ~ sQ55_spl
| ~ sQ35_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1096,f100]) ).
fof(f1107,plain,
( ~ sQ55_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1103,f76]) ).
fof(f1108,plain,
( ~ sQ55_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1107]) ).
fof(f1109,plain,
( ~ sQ56_spl
| ~ sQ36_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f801,f305]) ).
fof(f1112,plain,
( ~ sQ56_spl
| ~ sQ36_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1109,f100]) ).
fof(f1116,plain,
( ~ sQ56_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1112,f77]) ).
fof(f1117,plain,
( ~ sQ56_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f1116]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ56_spl
| ~ sQ35_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f1097,f92]) ).
fof(f1129,plain,
( ~ sQ56_spl
| ~ sQ71_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f949,f305]) ).
fof(f1130,plain,
( ~ sQ56_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1129,f80]) ).
fof(f1131,plain,
( ~ sQ56_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1130]) ).
fof(f1135,plain,
( ~ sQ5_spl
| ~ sQ25_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f898,f100]) ).
fof(f1139,plain,
( ~ sQ5_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1135,f80]) ).
fof(f1140,plain,
( ~ sQ5_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1139]) ).
fof(f1141,plain,
( ~ sQ10_spl
| ~ sQ53_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f295,f651]) ).
fof(f1142,plain,
( ~ sQ68_spl
| ~ sQ53_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f295,f968]) ).
fof(f1147,plain,
( ~ sQ68_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1142,f85]) ).
fof(f1148,plain,
( ~ sQ68_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1147]) ).
fof(f1150,plain,
( ~ sQ52_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f292,f102]) ).
fof(f1156,plain,
( ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1150,f86]) ).
fof(f1157,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f1156]) ).
fof(f1158,plain,
( ~ sQ10_spl
| ~ sQ51_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f289,f651]) ).
fof(f1159,plain,
( ~ sQ26_spl
| ~ sQ51_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f289,f891]) ).
fof(f1160,plain,
! [X0] :
( ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f289,f94]) ).
fof(f1164,plain,
( ~ sQ26_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1159,f78]) ).
fof(f1165,plain,
( ~ sQ26_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1164]) ).
fof(f1166,plain,
( ~ sQ55_spl
| ~ sQ50_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f286,f1086]) ).
fof(f1168,plain,
! [X0] :
( ~ sQ50_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f286,f92]) ).
fof(f1171,plain,
( ~ sQ55_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1166,f87]) ).
fof(f1172,plain,
( ~ sQ55_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f1171]) ).
fof(f1174,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f447,f94]) ).
fof(f1175,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f447,f92]) ).
fof(f1180,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f444,f92]) ).
fof(f1183,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f441,f555]) ).
fof(f1186,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f441,f92]) ).
fof(f1188,plain,
! [X0] :
( ~ sQ97_spl
| product(X0,e_3,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f441,f97]) ).
fof(f1189,plain,
( ~ sQ22_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1183,f75]) ).
fof(f1190,plain,
( ~ sQ22_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f1189]) ).
fof(f1198,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ51_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f1158,f90]) ).
fof(f1208,plain,
( ~ sQ98_spl
| ~ sQ10_spl
| ~ sQ51_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f1198,f444]) ).
fof(f1209,plain,
( ~ sQ99_spl
| ~ sQ10_spl
| ~ sQ51_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f1198,f447]) ).
fof(f1210,plain,
( ~ sQ98_spl
| ~ sQ10_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1208,f82]) ).
fof(f1211,plain,
( ~ sQ98_spl
| ~ sQ10_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1210]) ).
fof(f1220,plain,
( ~ sQ99_spl
| ~ sQ25_spl
| ~ sQ6_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f912,f447]) ).
fof(f1239,plain,
( ~ sQ96_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f438,f102]) ).
fof(f1247,plain,
( ~ sQ95_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f435,f103]) ).
fof(f1252,plain,
( ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1247,f72]) ).
fof(f1253,plain,
~ sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1252]) ).
fof(f1254,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1239,f68]) ).
fof(f1255,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f1254]) ).
fof(f1256,plain,
( ~ sQ56_spl
| ~ sQ35_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1097,f440,f232,f304]) ).
fof(f1259,plain,
( ~ sQ94_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f431,f100]) ).
fof(f1263,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1259,f85]) ).
fof(f1264,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f1263]) ).
fof(f1267,plain,
( ~ sQ93_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f428,f100]) ).
fof(f1271,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1267,f81]) ).
fof(f1272,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f1271]) ).
fof(f1275,plain,
( ~ sQ92_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f425,f100]) ).
fof(f1279,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1275,f77]) ).
fof(f1280,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f1279]) ).
fof(f1284,plain,
( ~ sQ90_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f419,f100]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ89_spl
| product(X0,e_5,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f415,f97]) ).
fof(f1303,plain,
( ~ sQ89_spl
| ~ sQ68_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f970,f415]) ).
fof(f1304,plain,
( ~ sQ89_spl
| ~ sQ68_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f1303,f134,f342,f414]) ).
fof(f1305,plain,
( ~ sQ68_spl
| ~ sQ88_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f412,f970]) ).
fof(f1306,plain,
( ~ sQ13_spl
| ~ sQ88_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f412,f623]) ).
fof(f1307,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f412,f94]) ).
fof(f1308,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f412,f92]) ).
fof(f1311,plain,
( ~ sQ68_spl
| ~ sQ88_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f1305,f219,f411,f342]) ).
fof(f1312,plain,
( ~ sQ13_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1306,f75]) ).
fof(f1313,plain,
( ~ sQ13_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f1312]) ).
fof(f1319,plain,
( ~ sQ87_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f409,f103]) ).
fof(f1328,plain,
( ~ sQ86_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f406,f102]) ).
fof(f1334,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1328,f77]) ).
fof(f1335,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f1334]) ).
fof(f1336,plain,
( ~ sQ65_spl
| ~ sQ85_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f403,f989]) ).
fof(f1340,plain,
! [X0] :
( ~ sQ85_spl
| product(X0,e_1,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f403,f97]) ).
fof(f1341,plain,
( ~ sQ44_spl
| ~ sQ84_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f399,f741]) ).
fof(f1347,plain,
( ~ sQ83_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f396,f103]) ).
fof(f1353,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1347,f74]) ).
fof(f1354,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f1353]) ).
fof(f1355,plain,
( ~ sQ44_spl
| ~ sQ82_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f393,f741]) ).
fof(f1356,plain,
( ~ sQ97_spl
| ~ sQ82_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f393,f1186]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f393,f92]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ82_spl
| product(X0,e_3,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f393,f97]) ).
fof(f1361,plain,
( ~ sQ44_spl
| ~ sQ82_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f1355,f288,f392,f260]) ).
fof(f1362,plain,
( ~ sQ97_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1356,f80]) ).
fof(f1363,plain,
( ~ sQ97_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f1362]) ).
fof(f1365,plain,
( ~ sQ81_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f390,f102]) ).
fof(f1370,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1365,f81]) ).
fof(f1371,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f1370]) ).
fof(f1372,plain,
( ~ sQ44_spl
| ~ sQ80_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f387,f741]) ).
fof(f1378,plain,
( ~ sQ79_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f383,f103]) ).
fof(f1383,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1378,f75]) ).
fof(f1384,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f1383]) ).
fof(f1389,plain,
( ~ sQ65_spl
| ~ sQ85_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1336,f100]) ).
fof(f1395,plain,
( ~ sQ65_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1389,f72]) ).
fof(f1396,plain,
( ~ sQ65_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1395]) ).
fof(f1399,plain,
( ~ sQ44_spl
| ~ sQ84_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f1341,f100]) ).
fof(f1403,plain,
( ~ sQ44_spl
| ~ sQ84_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1399,f75]) ).
fof(f1404,plain,
( ~ sQ44_spl
| ~ sQ84_spl ),
inference(contradiction_clause,[status(thm)],[f1403]) ).
fof(f1406,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ80_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1372,f92]) ).
fof(f1420,plain,
( ~ sQ44_spl
| ~ sQ80_spl
| ~ sQ21_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f565,f1372]) ).
fof(f1421,plain,
( ~ sQ44_spl
| ~ sQ80_spl
| ~ sQ21_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1420,f418,f182,f386,f260]) ).
fof(f1425,plain,
( ~ sQ17_spl
| ~ sQ78_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f380,f596]) ).
fof(f1426,plain,
( ~ sQ98_spl
| ~ sQ78_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f380,f1180]) ).
fof(f1427,plain,
( ~ sQ88_spl
| ~ sQ78_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f380,f1308]) ).
fof(f1431,plain,
! [X0] :
( ~ sQ78_spl
| product(X0,e_4,e_5)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f380,f97]) ).
fof(f1432,plain,
( ~ sQ17_spl
| ~ sQ78_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1425,f235,f379,f169]) ).
fof(f1433,plain,
( ~ sQ98_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1426,f84]) ).
fof(f1434,plain,
( ~ sQ98_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1433]) ).
fof(f1435,plain,
( ~ sQ17_spl
| ~ sQ77_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f377,f596]) ).
fof(f1436,plain,
( ~ sQ82_spl
| ~ sQ77_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f377,f1358]) ).
fof(f1437,plain,
( ~ sQ27_spl
| ~ sQ77_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f377,f870]) ).
fof(f1438,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f377,f94]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ77_spl
| product(X0,e_3,e_5)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f377,f97]) ).
fof(f1442,plain,
( ~ sQ17_spl
| ~ sQ77_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1435,f320,f376,f169]) ).
fof(f1443,plain,
( ~ sQ82_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1436,f87]) ).
fof(f1444,plain,
( ~ sQ82_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f1443]) ).
fof(f1447,plain,
( ~ sQ76_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f374,f102]) ).
fof(f1455,plain,
( ~ sQ17_spl
| ~ sQ75_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f371,f596]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f371,f94]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f371,f92]) ).
fof(f1459,plain,
! [X0] :
( ~ sQ75_spl
| product(X0,e_1,e_5)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f371,f97]) ).
fof(f1462,plain,
! [X0] :
( ~ sQ17_spl
| ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1455,f94]) ).
fof(f1468,plain,
( ~ sQ88_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1427,f86]) ).
fof(f1469,plain,
( ~ sQ88_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1468]) ).
fof(f1470,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1319,f73]) ).
fof(f1471,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f1470]) ).
fof(f1472,plain,
( ~ sQ27_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1437,f74]) ).
fof(f1473,plain,
( ~ sQ27_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f1472]) ).
fof(f1477,plain,
( ~ sQ124_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f532,f100]) ).
fof(f1481,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1477,f84]) ).
fof(f1482,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f1481]) ).
fof(f1483,plain,
( ~ sQ73_spl
| ~ sQ123_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f529,f932]) ).
fof(f1491,plain,
( ~ sQ73_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1483,f69]) ).
fof(f1492,plain,
( ~ sQ73_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f1491]) ).
fof(f1496,plain,
( ~ sQ122_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f526,f100]) ).
fof(f1500,plain,
( ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1496,f76]) ).
fof(f1501,plain,
~ sQ122_spl,
inference(contradiction_clause,[status(thm)],[f1500]) ).
fof(f1506,plain,
( ~ sQ121_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f523,f100]) ).
fof(f1512,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1506,f72]) ).
fof(f1513,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f1512]) ).
fof(f1514,plain,
( ~ sQ44_spl
| ~ sQ119_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f516,f738]) ).
fof(f1519,plain,
( ~ sQ44_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1514,f70]) ).
fof(f1520,plain,
( ~ sQ44_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f1519]) ).
fof(f1524,plain,
! [X0] :
( ~ sQ118_spl
| product(X0,e_4,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f513,f97]) ).
fof(f1525,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f510,f94]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f510,f92]) ).
fof(f1528,plain,
! [X0] :
( ~ sQ117_spl
| product(X0,e_3,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f510,f97]) ).
fof(f1529,plain,
( ~ sQ116_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f507,f103]) ).
fof(f1534,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1529,f68]) ).
fof(f1535,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f1534]) ).
fof(f1541,plain,
( ~ sQ51_spl
| ~ sQ44_spl
| ~ sQ80_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f1372,f1160]) ).
fof(f1546,plain,
( ~ sQ51_spl
| ~ sQ44_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1541,f69]) ).
fof(f1547,plain,
( ~ sQ51_spl
| ~ sQ44_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1546]) ).
fof(f1560,plain,
( ~ sQ117_spl
| ~ sQ97_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f1188,f510]) ).
fof(f1561,plain,
( ~ sQ118_spl
| ~ sQ97_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1188,f513]) ).
fof(f1562,plain,
( ~ sQ117_spl
| ~ sQ97_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1560,f317,f440,f509]) ).
fof(f1563,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1447,f85]) ).
fof(f1564,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f1563]) ).
fof(f1565,plain,
( ~ sQ118_spl
| ~ sQ97_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f1561,f232,f440,f512]) ).
fof(f1576,plain,
( ~ sQ10_spl
| ~ sQ51_spl
| ~ sQ47_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f707,f1158]) ).
fof(f1577,plain,
( ~ sQ10_spl
| ~ sQ51_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1576,f74]) ).
fof(f1578,plain,
( ~ sQ10_spl
| ~ sQ51_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1577]) ).
fof(f1579,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1057,f69]) ).
fof(f1580,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f1579]) ).
fof(f1585,plain,
( ~ sQ115_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f504,f102]) ).
fof(f1592,plain,
( ~ sQ73_spl
| ~ sQ114_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f500,f935]) ).
fof(f1593,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f500,f94]) ).
fof(f1597,plain,
( ~ sQ73_spl
| ~ sQ114_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f1592,f131,f499,f358]) ).
fof(f1598,plain,
( ~ sQ73_spl
| ~ sQ113_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f497,f935]) ).
fof(f1599,plain,
( ~ sQ88_spl
| ~ sQ113_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f497,f1307]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f497,f92]) ).
fof(f1604,plain,
( ~ sQ73_spl
| ~ sQ113_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1598,f216,f496,f358]) ).
fof(f1605,plain,
( ~ sQ88_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1599,f68]) ).
fof(f1606,plain,
( ~ sQ88_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f1605]) ).
fof(f1608,plain,
( ~ sQ112_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f494,f103]) ).
fof(f1614,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1608,f69]) ).
fof(f1615,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f1614]) ).
fof(f1616,plain,
( ~ sQ73_spl
| ~ sQ111_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f491,f935]) ).
fof(f1618,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f491,f92]) ).
fof(f1622,plain,
( ~ sQ110_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f488,f102]) ).
fof(f1627,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1622,f76]) ).
fof(f1628,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f1627]) ).
fof(f1629,plain,
( ~ sQ47_spl
| ~ sQ109_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f484,f710]) ).
fof(f1633,plain,
! [X0] :
( ~ sQ109_spl
| product(X0,e_5,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f484,f97]) ).
fof(f1634,plain,
( ~ sQ47_spl
| ~ sQ109_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1629,f147,f483,f270]) ).
fof(f1636,plain,
( ~ sQ108_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f481,f103]) ).
fof(f1641,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1636,f70]) ).
fof(f1642,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f1641]) ).
fof(f1643,plain,
( ~ sQ47_spl
| ~ sQ107_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f478,f710]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f478,f92]) ).
fof(f1647,plain,
! [X0] :
( ~ sQ107_spl
| product(X0,e_3,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f478,f97]) ).
fof(f1648,plain,
( ~ sQ47_spl
| ~ sQ107_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f1643,f317,f477,f270]) ).
fof(f1657,plain,
( ~ sQ111_spl
| ~ sQ11_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f639,f491]) ).
fof(f1658,plain,
( ~ sQ111_spl
| ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1657,f71]) ).
fof(f1659,plain,
( ~ sQ111_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f1658]) ).
fof(f1669,plain,
( ~ sQ111_spl
| ~ sQ44_spl
| ~ sQ80_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1406,f491]) ).
fof(f1670,plain,
( ~ sQ111_spl
| ~ sQ44_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1669,f79]) ).
fof(f1671,plain,
( ~ sQ111_spl
| ~ sQ44_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f1670]) ).
fof(f1676,plain,
( ~ sQ73_spl
| ~ sQ111_spl
| ~ sQ5_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f687,f1616]) ).
fof(f1677,plain,
( ~ sQ73_spl
| ~ sQ111_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1676,f75]) ).
fof(f1678,plain,
( ~ sQ73_spl
| ~ sQ111_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1677]) ).
fof(f1679,plain,
( ~ sQ73_spl
| ~ sQ111_spl
| ~ sQ75_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1457,f1616]) ).
fof(f1680,plain,
( ~ sQ73_spl
| ~ sQ111_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1679,f83]) ).
fof(f1681,plain,
( ~ sQ73_spl
| ~ sQ111_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f1680]) ).
fof(f1682,plain,
( ~ sQ47_spl
| ~ sQ106_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f475,f710]) ).
fof(f1683,plain,
( ~ sQ111_spl
| ~ sQ106_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f475,f1618]) ).
fof(f1684,plain,
( ~ sQ56_spl
| ~ sQ106_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f475,f1081]) ).
fof(f1686,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f475,f92]) ).
fof(f1689,plain,
( ~ sQ47_spl
| ~ sQ106_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f1682,f402,f474,f270]) ).
fof(f1690,plain,
( ~ sQ111_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1683,f82]) ).
fof(f1691,plain,
( ~ sQ111_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f1690]) ).
fof(f1694,plain,
( ~ sQ105_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f472,f102]) ).
fof(f1704,plain,
( ~ sQ104_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f468,f103]) ).
fof(f1711,plain,
( ~ sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1704,f71]) ).
fof(f1712,plain,
~ sQ104_spl,
inference(contradiction_clause,[status(thm)],[f1711]) ).
fof(f1713,plain,
( ~ sQ23_spl
| ~ sQ103_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f465,f549]) ).
fof(f1714,plain,
( ~ sQ21_spl
| ~ sQ103_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f465,f565]) ).
fof(f1719,plain,
( ~ sQ23_spl
| ~ sQ103_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1713,f216,f464,f188]) ).
fof(f1720,plain,
( ~ sQ21_spl
| ~ sQ103_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1714,f248,f464,f182]) ).
fof(f1721,plain,
( ~ sQ21_spl
| ~ sQ102_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f462,f565]) ).
fof(f1722,plain,
( ~ sQ77_spl
| ~ sQ102_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f462,f1438]) ).
fof(f1723,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f462,f94]) ).
fof(f1726,plain,
! [X0] :
( ~ sQ102_spl
| product(X0,e_3,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f462,f97]) ).
fof(f1727,plain,
( ~ sQ77_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1722,f68]) ).
fof(f1728,plain,
( ~ sQ77_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f1727]) ).
fof(f1729,plain,
( ~ sQ21_spl
| ~ sQ101_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f459,f565]) ).
fof(f1730,plain,
( ~ sQ111_spl
| ~ sQ101_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f459,f1618]) ).
fof(f1731,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f459,f94]) ).
fof(f1732,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f459,f92]) ).
fof(f1734,plain,
! [X0] :
( ~ sQ101_spl
| product(X0,e_2,e_5)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f459,f97]) ).
fof(f1735,plain,
( ~ sQ21_spl
| ~ sQ101_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f1729,f418,f458,f182]) ).
fof(f1736,plain,
( ~ sQ111_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1730,f86]) ).
fof(f1737,plain,
( ~ sQ111_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f1736]) ).
fof(f1741,plain,
( ~ sQ100_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f456,f102]) ).
fof(f1760,plain,
( ~ sQ89_spl
| ~ sQ65_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f334,f1293]) ).
fof(f1762,plain,
( ~ sQ50_spl
| ~ sQ65_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f334,f1168]) ).
fof(f1769,plain,
( ~ sQ89_spl
| ~ sQ65_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f1760,f461,f333,f414]) ).
fof(f1770,plain,
( ~ sQ50_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1762,f75]) ).
fof(f1771,plain,
( ~ sQ50_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1770]) ).
fof(f1772,plain,
( ~ sQ10_spl
| ~ sQ51_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f1158,f440,f288,f147]) ).
fof(f1773,plain,
( ~ sQ99_spl
| ~ sQ10_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1209,f86]) ).
fof(f1774,plain,
( ~ sQ99_spl
| ~ sQ10_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f1773]) ).
fof(f1775,plain,
( ~ sQ113_spl
| ~ sQ25_spl
| ~ sQ6_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f908,f1601]) ).
fof(f1780,plain,
( ~ sQ113_spl
| ~ sQ25_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1775,f73]) ).
fof(f1781,plain,
( ~ sQ113_spl
| ~ sQ25_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1780]) ).
fof(f1787,plain,
( ~ sQ25_spl
| ~ sQ99_spl
| ~ sQ6_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f1220,f903]) ).
fof(f1796,plain,
! [X0] :
( ~ sQ25_spl
| ~ sQ99_spl
| ~ sQ6_spl
| ~ greater(e_5,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f1787,f62]) ).
fof(f1822,plain,
( ~ sQ65_spl
| ~ sQ89_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f415,f989]) ).
fof(f1840,plain,
( ~ sQ7_spl
| ~ sQ25_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f201,f672]) ).
fof(f1841,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f201,f806]) ).
fof(f1848,plain,
( ~ sQ7_spl
| ~ sQ25_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f1840,f496,f200,f137]) ).
fof(f1849,plain,
( ~ sQ35_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1841,f86]) ).
fof(f1850,plain,
( ~ sQ35_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1849]) ).
fof(f1851,plain,
( sQ21_spl
| ~ sQ65_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f184,f1822]) ).
fof(f1852,plain,
( sQ21_spl
| ~ sQ65_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f1851]) ).
fof(f1856,plain,
( ~ sQ65_spl
| ~ sQ55_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1086,f334]) ).
fof(f1857,plain,
( ~ sQ65_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1856,f74]) ).
fof(f1858,plain,
( ~ sQ65_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f1857]) ).
fof(f1859,plain,
( ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1741,f84]) ).
fof(f1860,plain,
~ sQ100_spl,
inference(contradiction_clause,[status(thm)],[f1859]) ).
fof(f1869,plain,
( ~ sQ42_spl
| ~ sQ80_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f387,f757]) ).
fof(f1880,plain,
( ~ sQ42_spl
| ~ sQ10_spl
| ~ sQ53_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f1141,f755]) ).
fof(f1886,plain,
( ~ sQ42_spl
| ~ sQ10_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1880,f68]) ).
fof(f1887,plain,
( ~ sQ42_spl
| ~ sQ10_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1886]) ).
fof(f1888,plain,
( ~ sQ73_spl
| ~ sQ111_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1616,f386,f490,f358]) ).
fof(f1911,plain,
( ~ sQ65_spl
| ~ sQ89_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f1293,f334]) ).
fof(f1930,plain,
( ~ sQ65_spl
| ~ sQ89_spl
| ~ sQ6_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f677,f1822]) ).
fof(f1931,plain,
( ~ sQ65_spl
| ~ sQ89_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1930,f70]) ).
fof(f1932,plain,
( ~ sQ65_spl
| ~ sQ89_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1931]) ).
fof(f1933,plain,
( ~ sQ78_spl
| ~ sQ18_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f173,f1431]) ).
fof(f1941,plain,
( ~ sQ78_spl
| ~ sQ18_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f1933,f228,f172,f379]) ).
fof(f1943,plain,
( ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1284,f68]) ).
fof(f1944,plain,
~ sQ90_spl,
inference(contradiction_clause,[status(thm)],[f1943]) ).
fof(f1945,plain,
( ~ sQ56_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1684,f69]) ).
fof(f1946,plain,
( ~ sQ56_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f1945]) ).
fof(f1963,plain,
( ~ sQ18_spl
| ~ sQ77_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f1441,f173]) ).
fof(f1968,plain,
! [X0] :
( ~ sQ18_spl
| ~ sQ77_spl
| product(X0,e_5,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1963,f97]) ).
fof(f1970,plain,
( ~ sQ56_spl
| ~ sQ35_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f808,f305]) ).
fof(f1971,plain,
( ~ sQ44_spl
| ~ sQ80_spl
| ~ sQ23_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f549,f1372]) ).
fof(f1991,plain,
( ~ sQ56_spl
| ~ sQ18_spl
| ~ sQ77_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f1968,f305]) ).
fof(f1993,plain,
( ~ sQ56_spl
| ~ sQ35_spl
| ~ sQ18_spl
| ~ sQ77_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1991,f1120]) ).
fof(f1998,plain,
( ~ sQ56_spl
| ~ sQ35_spl
| ~ sQ18_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1993,f84]) ).
fof(f1999,plain,
( ~ sQ56_spl
| ~ sQ35_spl
| ~ sQ18_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f1998]) ).
fof(f2001,plain,
( ~ sQ68_spl
| ~ sQ89_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f415,f970]) ).
fof(f2009,plain,
( ~ sQ82_spl
| ~ sQ44_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f261,f1360]) ).
fof(f2017,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f135,f873]) ).
fof(f2035,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f1175,f415]) ).
fof(f2036,plain,
( ~ sQ89_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2035,f76]) ).
fof(f2037,plain,
( ~ sQ89_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f2036]) ).
fof(f2039,plain,
( ~ sQ89_spl
| ~ sQ68_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f343,f1293]) ).
fof(f2055,plain,
( ~ sQ46_spl
| ~ sQ107_spl
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f478,f725]) ).
fof(f2062,plain,
( ~ sQ46_spl
| ~ sQ107_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f2055,f333,f477,f267]) ).
fof(f2064,plain,
( ~ sQ78_spl
| ~ sQ17_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f170,f1431]) ).
fof(f2072,plain,
( ~ sQ13_spl
| ~ sQ51_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f289,f626]) ).
fof(f2073,plain,
( ~ sQ71_spl
| ~ sQ51_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f289,f949]) ).
fof(f2075,plain,
( ~ sQ101_spl
| ~ sQ51_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f289,f1731]) ).
fof(f2081,plain,
( ~ sQ13_spl
| ~ sQ51_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f2072,f392,f288,f156]) ).
fof(f2082,plain,
( ~ sQ71_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2073,f84]) ).
fof(f2083,plain,
( ~ sQ71_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2082]) ).
fof(f2084,plain,
( ~ sQ101_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2075,f76]) ).
fof(f2085,plain,
( ~ sQ101_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f2084]) ).
fof(f2086,plain,
( ~ sQ55_spl
| ~ sQ78_spl
| ~ sQ17_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f2064,f1087]) ).
fof(f2087,plain,
( ~ sQ36_spl
| ~ sQ78_spl
| ~ sQ17_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f2064,f801]) ).
fof(f2092,plain,
( ~ sQ55_spl
| ~ sQ78_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2086,f84]) ).
fof(f2093,plain,
( ~ sQ55_spl
| ~ sQ78_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2092]) ).
fof(f2094,plain,
( sQ27_spl
| ~ sQ89_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f208,f2039]) ).
fof(f2095,plain,
( sQ27_spl
| ~ sQ89_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f2094]) ).
fof(f2103,plain,
( ~ sQ6_spl
| ~ sQ26_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f894,f135]) ).
fof(f2104,plain,
( ~ sQ6_spl
| ~ sQ26_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f2103,f430,f203,f134]) ).
fof(f2105,plain,
( ~ sQ68_spl
| ~ sQ85_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f1340,f343]) ).
fof(f2117,plain,
( ~ sQ18_spl
| ~ sQ77_spl
| ~ sQ59_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f1066,f1963]) ).
fof(f2120,plain,
( ~ sQ18_spl
| ~ sQ77_spl
| ~ sQ59_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2117,f100]) ).
fof(f2124,plain,
( ~ sQ18_spl
| ~ sQ77_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2120,f83]) ).
fof(f2125,plain,
( ~ sQ18_spl
| ~ sQ77_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2124]) ).
fof(f2126,plain,
( ~ sQ27_spl
| ~ sQ6_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f2017,f414,f134,f206]) ).
fof(f2127,plain,
( sQ47_spl
| ~ sQ68_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f272,f2105]) ).
fof(f2128,plain,
( sQ47_spl
| ~ sQ68_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f2127]) ).
fof(f2129,plain,
( ~ sQ21_spl
| ~ sQ102_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f1721,f333,f461,f182]) ).
fof(f2147,plain,
( ~ sQ36_spl
| ~ sQ78_spl
| ~ sQ17_spl
| ~ sQ117_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f1525,f2087]) ).
fof(f2148,plain,
( ~ sQ36_spl
| ~ sQ78_spl
| ~ sQ17_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2147,f84]) ).
fof(f2149,plain,
( ~ sQ36_spl
| ~ sQ78_spl
| ~ sQ17_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f2148]) ).
fof(f2150,plain,
( ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1585,f72]) ).
fof(f2151,plain,
~ sQ115_spl,
inference(contradiction_clause,[status(thm)],[f2150]) ).
fof(f2153,plain,
( ~ sQ68_spl
| ~ sQ25_spl
| ~ sQ6_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f908,f967]) ).
fof(f2158,plain,
( ~ sQ68_spl
| ~ sQ25_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2153,f69]) ).
fof(f2159,plain,
( ~ sQ68_spl
| ~ sQ25_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2158]) ).
fof(f2169,plain,
( ~ sQ68_spl
| ~ sQ85_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f403,f970]) ).
fof(f2176,plain,
( ~ sQ106_spl
| ~ sQ44_spl
| ~ sQ80_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1372,f1686]) ).
fof(f2181,plain,
( ~ sQ106_spl
| ~ sQ44_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2176,f87]) ).
fof(f2182,plain,
( ~ sQ106_spl
| ~ sQ44_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f2181]) ).
fof(f2183,plain,
( ~ sQ42_spl
| ~ sQ80_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f1869,f490,f386,f254]) ).
fof(f2192,plain,
( ~ sQ99_spl
| ~ sQ118_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1524,f447]) ).
fof(f2193,plain,
( ~ sQ99_spl
| ~ sQ118_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f2192,f134,f512,f446]) ).
fof(f2194,plain,
( ~ sQ99_spl
| ~ sQ117_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f1528,f447]) ).
fof(f2195,plain,
( ~ sQ99_spl
| ~ sQ117_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f2194,f150,f509,f446]) ).
fof(f2196,plain,
( ~ sQ68_spl
| ~ sQ85_spl
| ~ sQ101_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1732,f2169]) ).
fof(f2197,plain,
( ~ sQ68_spl
| ~ sQ85_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2196,f83]) ).
fof(f2198,plain,
( ~ sQ68_spl
| ~ sQ85_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f2197]) ).
fof(f2215,plain,
( ~ sQ44_spl
| ~ sQ80_spl
| ~ sQ26_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f891,f1372]) ).
fof(f2216,plain,
( ~ sQ44_spl
| ~ sQ80_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2215,f70]) ).
fof(f2217,plain,
( ~ sQ44_spl
| ~ sQ80_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f2216]) ).
fof(f2218,plain,
( ~ sQ39_spl
| ~ sQ59_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f314,f781]) ).
fof(f2238,plain,
( ~ sQ39_spl
| ~ sQ59_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2218,f100]) ).
fof(f2244,plain,
( ~ sQ50_spl
| ~ sQ13_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f626,f286]) ).
fof(f2246,plain,
( ~ sQ7_spl
| ~ sQ50_spl
| ~ sQ13_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f2244,f669]) ).
fof(f2251,plain,
( ~ sQ7_spl
| ~ sQ50_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2246,f71]) ).
fof(f2252,plain,
( ~ sQ7_spl
| ~ sQ50_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2251]) ).
fof(f2260,plain,
( sQ107_spl
| ~ sQ50_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f479,f2244]) ).
fof(f2261,plain,
( sQ107_spl
| ~ sQ50_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2260]) ).
fof(f2267,plain,
( ~ sQ59_spl
| ~ sQ36_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f801,f314]) ).
fof(f2268,plain,
( ~ sQ59_spl
| ~ sQ36_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f2267,f169,f235,f313]) ).
fof(f2303,plain,
( ~ sQ18_spl
| ~ sQ77_spl
| ~ sQ114_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1593,f1963]) ).
fof(f2304,plain,
( ~ sQ18_spl
| ~ sQ77_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2303,f80]) ).
fof(f2305,plain,
( ~ sQ18_spl
| ~ sQ77_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f2304]) ).
fof(f2331,plain,
( ~ sQ68_spl
| ~ sQ85_spl
| ~ sQ47_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f710,f2169]) ).
fof(f2345,plain,
( ~ sQ3_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f125,f100]) ).
fof(f2349,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2345,f83]) ).
fof(f2350,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f2349]) ).
fof(f2353,plain,
( ~ sQ2_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f122,f100]) ).
fof(f2357,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2353,f79]) ).
fof(f2358,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f2357]) ).
fof(f2376,plain,
( ~ sQ10_spl
| ~ sQ53_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f1141,f270,f294,f147]) ).
fof(f2386,plain,
( ~ sQ18_spl
| ~ sQ77_spl
| ~ sQ55_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f1088,f1963]) ).
fof(f2387,plain,
( ~ sQ101_spl
| ~ sQ18_spl
| ~ sQ77_spl
| ~ sQ55_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f2386,f1734]) ).
fof(f2393,plain,
( ~ sQ101_spl
| ~ sQ18_spl
| ~ sQ77_spl
| ~ sQ55_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f2387,f260,f301,f376,f172,f458]) ).
fof(f2394,plain,
( ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1694,f80]) ).
fof(f2395,plain,
~ sQ105_spl,
inference(contradiction_clause,[status(thm)],[f2394]) ).
fof(f2406,plain,
( ~ sQ59_spl
| ~ sQ36_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f236,f1066]) ).
fof(f2431,plain,
( ~ sQ78_spl
| ~ sQ17_spl
| ~ sQ69_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f962,f2064]) ).
fof(f2432,plain,
( ~ sQ78_spl
| ~ sQ17_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2431,f81]) ).
fof(f2433,plain,
( ~ sQ78_spl
| ~ sQ17_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f2432]) ).
fof(f2443,plain,
( ~ sQ36_spl
| ~ sQ18_spl
| ~ sQ77_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1963,f800]) ).
fof(f2448,plain,
( ~ sQ36_spl
| ~ sQ18_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2443,f85]) ).
fof(f2449,plain,
( ~ sQ36_spl
| ~ sQ18_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f2448]) ).
fof(f2463,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ89_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f2001,f94]) ).
fof(f2519,plain,
( ~ sQ80_spl
| ~ sQ40_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f772,f387]) ).
fof(f2520,plain,
( ~ sQ80_spl
| ~ sQ40_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f2519,f522,f248,f386]) ).
fof(f2533,plain,
( ~ sQ68_spl
| ~ sQ89_spl
| ~ sQ21_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f563,f2001]) ).
fof(f2534,plain,
( ~ sQ68_spl
| ~ sQ89_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2533,f80]) ).
fof(f2535,plain,
( ~ sQ68_spl
| ~ sQ89_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f2534]) ).
fof(f2545,plain,
( ~ sQ78_spl
| ~ sQ17_spl
| ~ sQ74_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f926,f2064]) ).
fof(f2546,plain,
( ~ sQ78_spl
| ~ sQ17_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2545,f80]) ).
fof(f2547,plain,
( ~ sQ78_spl
| ~ sQ17_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f2546]) ).
fof(f2564,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f1088,f236]) ).
fof(f2565,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ55_spl
| ~ greater(e_4,X0)
| ~ next(e_2,X0) ),
inference(resolution,[status(thm)],[f2564,f62]) ).
fof(f2570,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f2565,f58]) ).
fof(f2573,plain,
( ~ sQ36_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2570,f48]) ).
fof(f2574,plain,
( ~ sQ36_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f2573]) ).
fof(f2576,plain,
( ~ sQ101_spl
| ~ sQ23_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f189,f1734]) ).
fof(f2584,plain,
( ~ sQ101_spl
| ~ sQ23_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f2576,f260,f188,f458]) ).
fof(f2594,plain,
( ~ sQ23_spl
| ~ sQ44_spl
| ~ sQ80_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1372,f549]) ).
fof(f2601,plain,
( ~ sQ55_spl
| ~ sQ44_spl
| ~ sQ80_spl
| ~ sQ23_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f1971,f1085]) ).
fof(f2606,plain,
( ~ sQ55_spl
| ~ sQ44_spl
| ~ sQ80_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2601,f73]) ).
fof(f2607,plain,
( ~ sQ55_spl
| ~ sQ44_spl
| ~ sQ80_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2606]) ).
fof(f2634,plain,
( ~ sQ25_spl
| ~ sQ99_spl
| ~ sQ6_spl
| ~ next(e_2,e_3) ),
inference(resolution,[status(thm)],[f1796,f59]) ).
fof(f2637,plain,
( ~ sQ25_spl
| ~ sQ99_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2634,f48]) ).
fof(f2638,plain,
( ~ sQ25_spl
| ~ sQ99_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f2637]) ).
fof(f2639,plain,
( ~ sQ68_spl
| ~ sQ85_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f2169,f474,f402,f342]) ).
fof(f2682,plain,
( ~ sQ56_spl
| ~ sQ35_spl
| ~ sQ118_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f1524,f1970]) ).
fof(f2693,plain,
( ~ sQ65_spl
| ~ sQ89_spl
| ~ sQ107_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1645,f1911]) ).
fof(f2694,plain,
( ~ sQ65_spl
| ~ sQ89_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2693,f87]) ).
fof(f2695,plain,
( ~ sQ65_spl
| ~ sQ89_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f2694]) ).
fof(f2705,plain,
( ~ sQ75_spl
| ~ sQ18_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f173,f1459]) ).
fof(f2744,plain,
( ~ sQ74_spl
| ~ sQ75_spl
| ~ sQ18_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f2705,f925]) ).
fof(f2750,plain,
( ~ sQ74_spl
| ~ sQ75_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2744,f82]) ).
fof(f2751,plain,
( ~ sQ74_spl
| ~ sQ75_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f2750]) ).
fof(f2762,plain,
( ~ sQ102_spl
| ~ sQ89_spl
| ~ sQ68_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f2039,f1723]) ).
fof(f2767,plain,
( ~ sQ102_spl
| ~ sQ89_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2762,f80]) ).
fof(f2768,plain,
( ~ sQ102_spl
| ~ sQ89_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f2767]) ).
fof(f2769,plain,
( ~ sQ17_spl
| ~ sQ75_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f1455,f490,f370,f169]) ).
fof(f2770,plain,
( ~ sQ17_spl
| ~ sQ59_spl
| ~ sQ36_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f2406,f596]) ).
fof(f2782,plain,
( ~ sQ17_spl
| ~ sQ59_spl
| ~ sQ36_spl
| ~ sQ75_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1462,f2770]) ).
fof(f2783,plain,
( ~ sQ17_spl
| ~ sQ59_spl
| ~ sQ36_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2782,f80]) ).
fof(f2784,plain,
( ~ sQ17_spl
| ~ sQ59_spl
| ~ sQ36_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f2783]) ).
fof(f2785,plain,
( ~ sQ39_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2238,f79]) ).
fof(f2786,plain,
( ~ sQ39_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f2785]) ).
fof(f2790,plain,
( ~ sQ69_spl
| ~ sQ89_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f415,f964]) ).
fof(f2800,plain,
( ~ sQ69_spl
| ~ sQ89_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f2790,f100]) ).
fof(f2806,plain,
( ~ sQ69_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2800,f75]) ).
fof(f2807,plain,
( ~ sQ69_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f2806]) ).
fof(f2811,plain,
( ~ sQ75_spl
| ~ sQ17_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f170,f1459]) ).
fof(f2812,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f170,f670]) ).
fof(f2819,plain,
( ~ sQ75_spl
| ~ sQ17_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f2811,f361,f169,f370]) ).
fof(f2820,plain,
( ~ sQ7_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2812,f74]) ).
fof(f2821,plain,
( ~ sQ7_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f2820]) ).
fof(f2877,plain,
( ~ sQ111_spl
| ~ sQ74_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f928,f491]) ).
fof(f2889,plain,
( ~ sQ17_spl
| ~ sQ22_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f556,f170]) ).
fof(f2890,plain,
( ~ sQ17_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2889,f72]) ).
fof(f2891,plain,
( ~ sQ17_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f2890]) ).
fof(f2892,plain,
( ~ sQ49_spl
| ~ sQ50_spl
| ~ sQ13_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f2244,f697]) ).
fof(f2898,plain,
( ~ sQ75_spl
| ~ sQ49_spl
| ~ sQ50_spl
| ~ sQ13_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f2892,f1456]) ).
fof(f2903,plain,
( ~ sQ75_spl
| ~ sQ49_spl
| ~ sQ50_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2898,f77]) ).
fof(f2904,plain,
( ~ sQ75_spl
| ~ sQ49_spl
| ~ sQ50_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f2903]) ).
fof(f2923,plain,
( ~ sQ68_spl
| ~ sQ89_spl
| ~ sQ56_spl
| ~ sQ35_spl
| ~ sQ118_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f2682,f2463]) ).
fof(f2928,plain,
( ~ sQ68_spl
| ~ sQ89_spl
| ~ sQ56_spl
| ~ sQ35_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2923,f79]) ).
fof(f2929,plain,
( ~ sQ68_spl
| ~ sQ89_spl
| ~ sQ56_spl
| ~ sQ35_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f2928]) ).
fof(f2936,plain,
( ~ sQ111_spl
| ~ sQ74_spl
| ~ sQ15_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f612,f2877]) ).
fof(f2937,plain,
( ~ sQ111_spl
| ~ sQ74_spl
| ~ sQ15_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f2936,f522,f163,f361,f490]) ).
fof(f2999,plain,
( ~ sQ15_spl
| ~ sQ78_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f1431,f164]) ).
fof(f3000,plain,
( ~ sQ15_spl
| ~ sQ78_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f2999,f483,f379,f163]) ).
fof(f3021,plain,
! [X0] :
( ~ sQ75_spl
| ~ sQ18_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f2705,f92]) ).
fof(f3053,plain,
( ~ sQ65_spl
| ~ sQ89_spl
| ~ sQ22_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f558,f1911]) ).
fof(f3054,plain,
( ~ sQ65_spl
| ~ sQ89_spl
| ~ sQ22_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f3053,f317,f185,f414,f333]) ).
fof(f3084,plain,
( ~ sQ75_spl
| ~ sQ18_spl
| ~ sQ109_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f1633,f2705]) ).
fof(f3085,plain,
( ~ sQ75_spl
| ~ sQ18_spl
| ~ sQ109_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f3084,f124,f483,f172,f370]) ).
fof(f3099,plain,
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ85_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f2105,f755]) ).
fof(f3105,plain,
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3099,f68]) ).
fof(f3106,plain,
( ~ sQ42_spl
| ~ sQ68_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f3105]) ).
fof(f3132,plain,
( ~ sQ68_spl
| ~ sQ85_spl
| ~ sQ47_spl
| ~ sQ75_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f1457,f2331]) ).
fof(f3133,plain,
( ~ sQ68_spl
| ~ sQ85_spl
| ~ sQ47_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3132,f79]) ).
fof(f3134,plain,
( ~ sQ68_spl
| ~ sQ85_spl
| ~ sQ47_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f3133]) ).
fof(f3136,plain,
( ~ sQ23_spl
| ~ sQ102_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f462,f549]) ).
fof(f3151,plain,
( ~ sQ102_spl
| ~ sQ117_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f1526,f462]) ).
fof(f3152,plain,
( ~ sQ102_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3151,f85]) ).
fof(f3153,plain,
( ~ sQ102_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f3152]) ).
fof(f3154,plain,
( sQ55_spl
| ~ sQ23_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f303,f3136]) ).
fof(f3155,plain,
( sQ55_spl
| ~ sQ23_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f3154]) ).
fof(f3157,plain,
( ~ sQ25_spl
| ~ sQ7_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f138,f903]) ).
fof(f3165,plain,
( ~ sQ25_spl
| ~ sQ7_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f3157,f361,f137,f200]) ).
fof(f3174,plain,
( ~ sQ102_spl
| ~ sQ23_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f189,f1726]) ).
fof(f3183,plain,
( ~ sQ69_spl
| ~ sQ85_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f403,f964]) ).
fof(f3190,plain,
( ~ sQ69_spl
| ~ sQ85_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f3183,f458,f402,f345]) ).
fof(f3199,plain,
( ~ sQ7_spl
| ~ sQ27_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f873,f138]) ).
fof(f3200,plain,
( ~ sQ7_spl
| ~ sQ27_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f3199,f329,f206,f137]) ).
fof(f3201,plain,
( ~ sQ15_spl
| ~ sQ75_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f1459,f164]) ).
fof(f3202,plain,
( ~ sQ15_spl
| ~ sQ75_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f3201,f531,f370,f163]) ).
fof(f3228,plain,
( ~ sQ82_spl
| ~ sQ42_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f255,f1360]) ).
fof(f3229,plain,
( ~ sQ27_spl
| ~ sQ42_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f255,f871]) ).
fof(f3236,plain,
( ~ sQ82_spl
| ~ sQ42_spl
| sQ63_spl ),
inference(split_clause,[status(thm)],[f3228,f326,f254,f392]) ).
fof(f3237,plain,
( ~ sQ27_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3229,f75]) ).
fof(f3238,plain,
( ~ sQ27_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f3237]) ).
fof(f3240,plain,
( ~ sQ82_spl
| ~ sQ44_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f2009,f156,f260,f392]) ).
fof(f3241,plain,
( sQ49_spl
| ~ sQ75_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f278,f2705]) ).
fof(f3242,plain,
( sQ49_spl
| ~ sQ75_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3241]) ).
fof(f3254,plain,
( ~ sQ75_spl
| ~ sQ23_spl
| ~ sQ44_spl
| ~ sQ80_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f2594,f1457]) ).
fof(f3259,plain,
( ~ sQ75_spl
| ~ sQ23_spl
| ~ sQ44_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3254,f83]) ).
fof(f3260,plain,
( ~ sQ75_spl
| ~ sQ23_spl
| ~ sQ44_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f3259]) ).
fof(f3264,plain,
( ~ sQ75_spl
| ~ sQ18_spl
| ~ sQ107_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f1647,f2705]) ).
fof(f3265,plain,
( ~ sQ75_spl
| ~ sQ18_spl
| ~ sQ107_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f3264,f156,f477,f172,f370]) ).
fof(f3266,plain,
( ~ sQ44_spl
| ~ sQ80_spl
| ~ sQ22_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f558,f1372]) ).
fof(f3268,plain,
( ~ sQ75_spl
| ~ sQ44_spl
| ~ sQ80_spl
| ~ sQ22_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f3266,f1457]) ).
fof(f3273,plain,
( ~ sQ75_spl
| ~ sQ44_spl
| ~ sQ80_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3268,f79]) ).
fof(f3274,plain,
( ~ sQ75_spl
| ~ sQ44_spl
| ~ sQ80_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f3273]) ).
fof(f3275,plain,
( ~ sQ75_spl
| ~ sQ18_spl
| ~ sQ99_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f1174,f2705]) ).
fof(f3276,plain,
( ~ sQ75_spl
| ~ sQ18_spl
| ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3275,f81]) ).
fof(f3277,plain,
( ~ sQ75_spl
| ~ sQ18_spl
| ~ sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f3276]) ).
fof(f3283,plain,
( ~ sQ75_spl
| ~ sQ18_spl
| ~ sQ102_spl
| ~ sQ23_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f3174,f3021]) ).
fof(f3289,plain,
( ~ sQ75_spl
| ~ sQ18_spl
| ~ sQ102_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3283,f76]) ).
fof(f3290,plain,
( ~ sQ75_spl
| ~ sQ18_spl
| ~ sQ102_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f3289]) ).
fof(f3335,plain,
( ~ sQ114_spl
| ~ sQ39_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f778,f500]) ).
fof(f3336,plain,
( ~ sQ114_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3335,f70]) ).
fof(f3337,plain,
( ~ sQ114_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f3336]) ).
fof(f3338,plain,
$false,
inference(sat_refutation,[status(thm)],[f146,f162,f178,f194,f215,f231,f247,f263,f279,f300,f316,f332,f348,f364,f385,f401,f417,f433,f449,f470,f486,f502,f518,f534,f544,f560,f584,f598,f608,f622,f653,f660,f667,f674,f681,f683,f685,f692,f705,f719,f727,f729,f737,f759,f774,f788,f803,f810,f812,f814,f822,f830,f838,f846,f868,f907,f921,f923,f946,f959,f966,f985,f994,f997,f998,f1000,f1006,f1012,f1014,f1016,f1026,f1034,f1045,f1053,f1073,f1080,f1095,f1099,f1108,f1117,f1131,f1140,f1148,f1157,f1165,f1172,f1190,f1211,f1253,f1255,f1256,f1264,f1272,f1280,f1304,f1311,f1313,f1335,f1354,f1361,f1363,f1371,f1384,f1396,f1404,f1421,f1432,f1434,f1442,f1444,f1469,f1471,f1473,f1482,f1492,f1501,f1513,f1520,f1535,f1547,f1562,f1564,f1565,f1578,f1580,f1597,f1604,f1606,f1615,f1628,f1634,f1642,f1648,f1659,f1671,f1678,f1681,f1689,f1691,f1712,f1719,f1720,f1728,f1735,f1737,f1769,f1771,f1772,f1774,f1781,f1848,f1850,f1852,f1858,f1860,f1887,f1888,f1932,f1941,f1944,f1946,f1999,f2037,f2062,f2081,f2083,f2085,f2093,f2095,f2104,f2125,f2126,f2128,f2129,f2149,f2151,f2159,f2182,f2183,f2193,f2195,f2198,f2217,f2252,f2261,f2268,f2305,f2350,f2358,f2376,f2393,f2395,f2433,f2449,f2520,f2535,f2547,f2574,f2584,f2607,f2638,f2639,f2695,f2751,f2768,f2769,f2784,f2786,f2807,f2819,f2821,f2891,f2904,f2929,f2937,f3000,f3054,f3085,f3106,f3134,f3153,f3155,f3165,f3190,f3200,f3202,f3236,f3238,f3240,f3242,f3260,f3265,f3274,f3277,f3290,f3337]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP125-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n005.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 20 19:58:47 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 % Drodi V4.1.1
% 6.71/1.58 % Refutation found
% 6.71/1.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.71/1.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.89/1.61 % Elapsed time: 1.171535 seconds
% 0.89/1.61 % CPU time: 8.806294 seconds
% 0.89/1.61 % Total memory used: 34.583 MB
% 0.89/1.61 % Net memory used: 32.362 MB
%------------------------------------------------------------------------------