%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP129-3.004 : 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 12:32:47 PM UTC 2026
% Result : Unsatisfiable 39.83s 10.48s
% Output : CNFRefutation 39.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 137
% Syntax : Number of formulae : 886 ( 60 unt; 105 def)
% Number of atoms : 2064 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 2541 (1363 ~;1073 |; 0 &)
% ( 105 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 112 ( 111 usr; 106 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 209 ( 209 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
next(e_0,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
next(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
greater(e_1,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
greater(e_2,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
greater(e_3,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
greater(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
greater(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
greater(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
greater(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
greater(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] :
( cycle(X,e_3)
| cycle(X,e_2)
| cycle(X,e_1)
| cycle(X,e_0)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
cycle(e_4,e_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y,W,Z,Z1] :
( equalish(Y,Z1)
| ~ next(Z,Z1)
| ~ greater(Y,e_0)
| ~ next(X,W)
| ~ cycle(W,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X,Y] :
( ~ greater(Y,X)
| ~ product(X,e_1,Y)
| ~ cycle(X,e_0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y,Z,X1] :
( equalish(Z,X1)
| ~ next(X,X1)
| ~ greater(Y,e_0)
| ~ product(X,e_1,Z)
| ~ cycle(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [X,Y] :
( product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
! [Y,X,Z1,Z2] :
( product(Z1,Y,Z2)
| ~ product(X,Z1,Z2)
| ~ product(Y,X,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,plain,
next(e_0,e_1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f46,plain,
next(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f47,plain,
greater(e_1,e_0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f48,plain,
greater(e_2,e_0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f49,plain,
greater(e_3,e_0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f51,plain,
greater(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f52,plain,
greater(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f54,plain,
greater(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f55,plain,
greater(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f56,plain,
greater(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f59,plain,
! [X0] :
( cycle(X0,e_1)
| cycle(X0,e_3)
| cycle(X0,e_2)
| cycle(X0,e_0)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f60,plain,
cycle(e_4,e_0),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f61,plain,
! [Y,Z1] :
( equalish(Y,Z1)
| ! [Z] :
( ~ next(Z,Z1)
| ~ greater(Y,e_0)
| ! [X,W] :
( ~ next(X,W)
| ~ cycle(W,Z)
| ~ cycle(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f62,plain,
! [X0,X1,X2,X3,X4] :
( ~ greater(X1,e_0)
| ~ next(X0,X4)
| ~ cycle(X4,X2)
| equalish(X1,X3)
| ~ next(X2,X3)
| ~ cycle(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f65,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ cycle(X0,e_0)
| ~ product(X0,e_1,X1) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f66,plain,
! [Z,X1] :
( equalish(Z,X1)
| ! [X] :
( ~ next(X,X1)
| ! [Y] :
( ~ greater(Y,e_0)
| ~ product(X,e_1,Z)
| ~ cycle(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( ~ next(X2,X1)
| ~ cycle(X2,X3)
| ~ greater(X3,e_0)
| ~ product(X2,e_1,X0)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f69,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f70,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f71,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f72,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f73,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f74,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f75,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f78,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f79,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f82,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f83,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f84,plain,
! [X0,X1] :
( product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X1,e_4)
| product(X0,X1,e_2)
| product(X0,X1,e_3) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f85,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f86,plain,
! [X0,X1,X2,X3] :
( equalish(X3,X2)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f87,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( ~ product(X2,X0,X3)
| ~ product(X2,X1,X3)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( ~ product(X1,X2,X3)
| ~ product(X0,X2,X3)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [Y,Z1,Z2] :
( product(Z1,Y,Z2)
| ! [X] :
( ~ product(X,Z1,Z2)
| ~ product(Y,X,Z1) ) ),
inference(miniscoping,[status(thm)],[f42]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( ~ product(X3,X0,X2)
| ~ product(X1,X3,X0)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
! [X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f72,f90]) ).
fof(f95,plain,
! [X0,X1] :
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f72,f88]) ).
fof(f99,plain,
! [X0,X1] :
( ~ product(e_4,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f82,f90]) ).
fof(f100,plain,
! [X0,X1] :
( ~ product(X0,X1,e_4)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f82,f86]) ).
fof(f101,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_4,X1) ),
inference(resolution,[status(thm)],[f82,f88]) ).
fof(f102,plain,
! [X0,X1] :
( ~ product(e_3,X0,X1)
| ~ product(e_4,X0,X1) ),
inference(resolution,[status(thm)],[f83,f90]) ).
fof(f103,plain,
! [X0,X1] :
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f83,f86]) ).
fof(f104,plain,
! [X0,X1] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_4,X1) ),
inference(resolution,[status(thm)],[f83,f88]) ).
fof(f105,plain,
! [X0,X1] :
( ~ product(e_3,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[status(thm)],[f73,f90]) ).
fof(f107,plain,
! [X0,X1] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f73,f88]) ).
fof(f112,plain,
! [X0,X1] :
( ~ product(e_3,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f79,f90]) ).
fof(f113,plain,
! [X0,X1] :
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f79,f86]) ).
fof(f114,plain,
! [X0,X1] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f79,f88]) ).
fof(f115,plain,
! [X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(e_4,X0,X1) ),
inference(resolution,[status(thm)],[f74,f90]) ).
fof(f116,plain,
! [X0,X1] :
( ~ product(X0,X1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f74,f86]) ).
fof(f117,plain,
! [X0,X1] :
( ~ product(X0,e_4,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f74,f88]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ cycle(X2,X0)
| ~ next(X2,e_4)
| ~ greater(X0,e_0)
| ~ next(e_0,X1)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f62,f60]) ).
fof(f133,plain,
! [X0] :
( product(X0,e_2,e_1)
| ~ group_element(X0)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f84,f69]) ).
fof(f134,plain,
! [X0] :
( product(X0,e_1,e_1)
| product(X0,e_1,e_3)
| product(X0,e_1,e_2)
| product(X0,e_1,e_4)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f84,f68]) ).
fof(f135,plain,
! [X0] :
( product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4)
| product(X0,e_4,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f84,f71]) ).
fof(f136,plain,
! [X0] :
( product(X0,e_3,e_2)
| product(X0,e_3,e_4)
| product(X0,e_3,e_1)
| product(X0,e_3,e_3)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f84,f70]) ).
fof(f137,plain,
! [X0,X1] :
( equalish(X1,e_1)
| ~ greater(X1,e_0)
| ~ cycle(X0,X1)
| ~ next(X0,e_4) ),
inference(resolution,[status(thm)],[f131,f43]) ).
fof(f138,plain,
! [X0] :
( ~ cycle(e_3,X0)
| ~ greater(X0,e_0)
| equalish(X0,e_1) ),
inference(resolution,[status(thm)],[f137,f46]) ).
fof(f139,plain,
( cycle(e_3,e_1)
| cycle(e_3,e_3)
| cycle(e_3,e_0)
| ~ group_element(e_3)
| ~ greater(e_2,e_0)
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f138,f59]) ).
fof(f140,definition,
( sQ0_spl
<=> equalish(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ0_spl
| equalish(e_2,e_1) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
( sQ1_spl
<=> greater(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f145,plain,
( sQ1_spl
| ~ greater(e_2,e_0) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ2_spl
<=> group_element(e_3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( sQ2_spl
| ~ group_element(e_3) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,definition,
( sQ3_spl
<=> cycle(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( ~ sQ3_spl
| cycle(e_3,e_0) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,definition,
( sQ4_spl
<=> cycle(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( ~ sQ4_spl
| cycle(e_3,e_3) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,definition,
( sQ5_spl
<=> cycle(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( ~ sQ5_spl
| cycle(e_3,e_1) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,plain,
( sQ5_spl
| sQ4_spl
| sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f139,f140,f143,f146,f149,f152,f155]) ).
fof(f159,plain,
( ~ sQ5_spl
| ~ greater(e_1,e_0)
| equalish(e_1,e_1) ),
inference(resolution,[status(thm)],[f156,f138]) ).
fof(f162,definition,
( sQ6_spl
<=> equalish(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f165,definition,
( sQ7_spl
<=> greater(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( sQ7_spl
| ~ greater(e_1,e_0) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( ~ sQ5_spl
| ~ sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f159,f162,f165,f155]) ).
fof(f169,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f167,f47]) ).
fof(f170,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( ~ sQ4_spl
| ~ greater(e_3,e_0)
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f153,f138]) ).
fof(f174,definition,
( sQ8_spl
<=> equalish(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f175,plain,
( ~ sQ8_spl
| equalish(e_3,e_1) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,definition,
( sQ9_spl
<=> greater(e_3,e_0) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( sQ9_spl
| ~ greater(e_3,e_0) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( ~ sQ4_spl
| ~ sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f171,f174,f177,f152]) ).
fof(f181,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f179,f49]) ).
fof(f182,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f181]) ).
fof(f183,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f175,f78]) ).
fof(f184,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f183]) ).
fof(f185,plain,
( ~ sQ3_spl
| ~ greater(e_0,e_0)
| equalish(e_0,e_1) ),
inference(resolution,[status(thm)],[f150,f138]) ).
fof(f188,definition,
( sQ10_spl
<=> equalish(e_0,e_1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f191,definition,
( sQ11_spl
<=> greater(e_0,e_0) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f185,f188,f191,f149]) ).
fof(f195,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f148,f70]) ).
fof(f196,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f195]) ).
fof(f197,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f145,f48]) ).
fof(f198,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f197]) ).
fof(f199,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f141,f75]) ).
fof(f200,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f199]) ).
fof(f204,definition,
( sQ12_spl
<=> cycle(e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ12_spl
| cycle(e_4,e_1) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,definition,
( sQ13_spl
<=> cycle(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ13_spl
| cycle(e_4,e_3) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,definition,
( sQ14_spl
<=> cycle(e_4,e_0) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( sQ14_spl
| ~ cycle(e_4,e_0) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f213,definition,
( sQ15_spl
<=> group_element(e_4) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( sQ15_spl
| ~ group_element(e_4) ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f241,definition,
( sQ19_spl
<=> cycle(e_2,e_0) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f252,definition,
( sQ22_spl
<=> cycle(e_1,e_0) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f265,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f135,f69]) ).
fof(f266,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f135,f68]) ).
fof(f267,plain,
( product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f135,f71]) ).
fof(f268,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f135,f70]) ).
fof(f269,definition,
( sQ25_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ25_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,definition,
( sQ26_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ26_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,definition,
( sQ27_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ27_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ28_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ28_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,plain,
( sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f266,f269,f272,f275,f278]) ).
fof(f282,definition,
( sQ29_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ29_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,definition,
( sQ30_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f286,plain,
( ~ sQ30_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f285]) ).
fof(f288,definition,
( sQ31_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ31_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ32_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ32_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,plain,
( sQ32_spl
| sQ31_spl
| sQ30_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f265,f282,f285,f288,f291]) ).
fof(f295,definition,
( sQ33_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f296,plain,
( ~ sQ33_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f298,definition,
( sQ34_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( ~ sQ34_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f298]) ).
fof(f301,definition,
( sQ35_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( ~ sQ35_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,definition,
( sQ36_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ36_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( sQ36_spl
| sQ35_spl
| sQ34_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f268,f295,f298,f301,f304]) ).
fof(f308,definition,
( sQ37_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( ~ sQ37_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,definition,
( sQ38_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ38_spl
| product(e_4,e_4,e_4) ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,definition,
( sQ39_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f315,plain,
( ~ sQ39_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
( sQ40_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f318,plain,
( ~ sQ40_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,plain,
( sQ40_spl
| sQ39_spl
| sQ38_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f267,f308,f311,f314,f317]) ).
fof(f331,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f136,f69]) ).
fof(f332,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f136,f68]) ).
fof(f333,plain,
( product(e_4,e_3,e_2)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_1)
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f136,f71]) ).
fof(f334,plain,
( product(e_3,e_3,e_2)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f136,f70]) ).
fof(f335,definition,
( sQ41_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( ~ sQ41_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,definition,
( sQ42_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ42_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,definition,
( sQ43_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( ~ sQ43_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,definition,
( sQ44_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f345,plain,
( ~ sQ44_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f333,f335,f338,f341,f344]) ).
fof(f348,definition,
( sQ45_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ45_spl
| product(e_3,e_3,e_3) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,definition,
( sQ46_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( ~ sQ46_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f354,definition,
( sQ47_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f355,plain,
( ~ sQ47_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,definition,
( sQ48_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ48_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,plain,
( sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f334,f348,f351,f354,f357]) ).
fof(f361,definition,
( sQ49_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f362,plain,
( ~ sQ49_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f364,definition,
( sQ50_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( ~ sQ50_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f364]) ).
fof(f367,definition,
( sQ51_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f368,plain,
( ~ sQ51_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f367]) ).
fof(f370,definition,
( sQ52_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f371,plain,
( ~ sQ52_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( sQ52_spl
| sQ51_spl
| sQ50_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f331,f361,f364,f367,f370]) ).
fof(f374,definition,
( sQ53_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( ~ sQ53_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,definition,
( sQ54_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ54_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,definition,
( sQ55_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ55_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ56_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ56_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( sQ56_spl
| sQ55_spl
| sQ54_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f332,f374,f377,f380,f383]) ).
fof(f387,plain,
( ~ sQ39_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f315,f115]) ).
fof(f388,plain,
( ~ sQ39_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f315,f102]) ).
fof(f389,plain,
( ~ sQ39_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f315,f117]) ).
fof(f390,plain,
( ~ sQ39_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f315,f104]) ).
fof(f393,plain,
( ~ sQ40_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f318,f115]) ).
fof(f394,plain,
( ~ sQ40_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f318,f102]) ).
fof(f395,plain,
( ~ sQ40_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f318,f117]) ).
fof(f396,plain,
( ~ sQ40_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f318,f104]) ).
fof(f397,plain,
( ~ sQ40_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f318,f113]) ).
fof(f402,plain,
( ~ sQ40_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f397,f315]) ).
fof(f403,plain,
( ~ sQ40_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f402]) ).
fof(f404,plain,
( ~ sQ37_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f309,f115]) ).
fof(f405,plain,
( ~ sQ37_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f309,f102]) ).
fof(f406,plain,
( ~ sQ37_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f309,f117]) ).
fof(f407,plain,
( ~ sQ37_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f309,f104]) ).
fof(f411,plain,
( ~ sQ32_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f292,f112]) ).
fof(f412,plain,
( ~ sQ32_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f292,f99]) ).
fof(f413,plain,
( ~ sQ32_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f292,f93]) ).
fof(f414,plain,
( ~ sQ32_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f292,f117]) ).
fof(f415,plain,
( ~ sQ32_spl
| ~ product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f292,f104]) ).
fof(f420,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_4,e_2,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f292,f92]) ).
fof(f421,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_4,e_2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f420,f99]) ).
fof(f422,plain,
( ~ sQ33_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f296,f117]) ).
fof(f423,plain,
( ~ sQ33_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f296,f104]) ).
fof(f425,plain,
! [X0] :
( ~ sQ33_spl
| ~ product(X0,e_3,e_4)
| product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f296,f92]) ).
fof(f426,plain,
! [X0] :
( ~ sQ33_spl
| product(e_1,e_3,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f296,f92]) ).
fof(f427,plain,
( ~ sQ27_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f276,f105]) ).
fof(f428,plain,
( ~ sQ27_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f276,f117]) ).
fof(f429,plain,
( ~ sQ27_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f276,f104]) ).
fof(f432,plain,
( ~ sQ25_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f270,f404]) ).
fof(f433,plain,
( ~ sQ25_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f432]) ).
fof(f434,plain,
( ~ sQ35_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f302,f117]) ).
fof(f435,plain,
( ~ sQ35_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f302,f104]) ).
fof(f439,plain,
( ~ sQ36_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f305,f411]) ).
fof(f440,plain,
( ~ sQ36_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f439]) ).
fof(f441,plain,
( ~ sQ28_spl
| ~ product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f279,f105]) ).
fof(f442,plain,
( ~ sQ28_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f279,f117]) ).
fof(f443,plain,
( ~ sQ28_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f279,f104]) ).
fof(f444,plain,
( ~ sQ28_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f279,f113]) ).
fof(f449,plain,
( ~ sQ28_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f444,f276]) ).
fof(f450,plain,
( ~ sQ28_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f449]) ).
fof(f451,plain,
( ~ sQ29_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f283,f112]) ).
fof(f452,plain,
( ~ sQ29_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f283,f99]) ).
fof(f453,plain,
( ~ sQ29_spl
| ~ product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f283,f93]) ).
fof(f455,plain,
( ~ sQ29_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f283,f104]) ).
fof(f457,plain,
! [X0] :
( ~ sQ29_spl
| product(e_4,X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f283,f92]) ).
fof(f458,plain,
! [X0] :
( ~ sQ29_spl
| product(e_1,e_2,X0)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f283,f92]) ).
fof(f459,plain,
( ~ sQ29_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f451,f296]) ).
fof(f460,plain,
( ~ sQ29_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f459]) ).
fof(f461,plain,
( ~ sQ34_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f299,f117]) ).
fof(f462,plain,
( ~ sQ34_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f299,f104]) ).
fof(f464,plain,
( ~ sQ34_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f299,f103]) ).
fof(f466,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(e_4,e_4,X0)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f299,f92]) ).
fof(f467,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(e_4,e_4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f466,f104]) ).
fof(f468,plain,
( ~ sQ34_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f464,f302]) ).
fof(f469,plain,
( ~ sQ34_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f468]) ).
fof(f470,plain,
( ~ sQ31_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f289,f112]) ).
fof(f471,plain,
( ~ sQ31_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f289,f99]) ).
fof(f472,plain,
( ~ sQ31_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f289,f93]) ).
fof(f473,plain,
( ~ sQ31_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f289,f117]) ).
fof(f474,plain,
( ~ sQ31_spl
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f289,f104]) ).
fof(f477,plain,
( ~ sQ38_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f312,f467]) ).
fof(f478,plain,
( ~ sQ38_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f477]) ).
fof(f479,plain,
( ~ sQ31_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f470,f301,f288]) ).
fof(f480,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f134,f69]) ).
fof(f481,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f134,f68]) ).
fof(f482,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f134,f71]) ).
fof(f483,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f134,f70]) ).
fof(f484,definition,
( sQ57_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ57_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ58_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ58_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ59_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ59_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ60_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ60_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( sQ60_spl
| sQ59_spl
| sQ58_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f483,f484,f487,f490,f493]) ).
fof(f497,definition,
( sQ61_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( ~ sQ61_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f500,definition,
( sQ62_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( ~ sQ62_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,definition,
( sQ63_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( ~ sQ63_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,definition,
( sQ64_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ64_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f480,f497,f500,f503,f506]) ).
fof(f510,definition,
( sQ65_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( ~ sQ65_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,definition,
( sQ66_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ66_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,definition,
( sQ67_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( ~ sQ67_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,definition,
( sQ68_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f520,plain,
( ~ sQ68_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f482,f510,f513,f516,f519]) ).
fof(f523,definition,
( sQ69_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ69_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ70_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f527,plain,
( ~ sQ70_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,definition,
( sQ71_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f530,plain,
( ~ sQ71_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,definition,
( sQ72_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f533,plain,
( ~ sQ72_spl
| product(e_1,e_1,e_1) ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( sQ72_spl
| sQ71_spl
| sQ70_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f481,f523,f526,f529,f532]) ).
fof(f536,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f133,f69]) ).
fof(f537,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f133,f68]) ).
fof(f538,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f133,f71]) ).
fof(f539,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f133,f70]) ).
fof(f540,definition,
( sQ73_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( ~ sQ73_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,definition,
( sQ74_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( ~ sQ74_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,definition,
( sQ75_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f547,plain,
( ~ sQ75_spl
| product(e_2,e_2,e_2) ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,definition,
( sQ76_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f550,plain,
( ~ sQ76_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,plain,
( sQ76_spl
| sQ75_spl
| sQ74_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f536,f540,f543,f546,f549]) ).
fof(f553,definition,
( sQ77_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f554,plain,
( ~ sQ77_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f553]) ).
fof(f556,definition,
( sQ78_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f557,plain,
( ~ sQ78_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f556]) ).
fof(f559,definition,
( sQ79_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f560,plain,
( ~ sQ79_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f562,definition,
( sQ80_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f563,plain,
( ~ sQ80_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,plain,
( sQ80_spl
| sQ79_spl
| sQ78_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f537,f553,f556,f559,f562]) ).
fof(f566,definition,
( sQ81_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f567,plain,
( ~ sQ81_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,definition,
( sQ82_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f570,plain,
( ~ sQ82_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,definition,
( sQ83_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f573,plain,
( ~ sQ83_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f572]) ).
fof(f575,definition,
( sQ84_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f576,plain,
( ~ sQ84_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f575]) ).
fof(f578,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f539,f566,f569,f572,f575]) ).
fof(f579,definition,
( sQ85_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f580,plain,
( ~ sQ85_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,definition,
( sQ86_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f583,plain,
( ~ sQ86_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f585,definition,
( sQ87_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f586,plain,
( ~ sQ87_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,definition,
( sQ88_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ88_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f591,plain,
( sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f538,f579,f582,f585,f588]) ).
fof(f592,plain,
( ~ sQ30_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f286,f112]) ).
fof(f594,plain,
( ~ sQ30_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f286,f93]) ).
fof(f595,plain,
( ~ sQ30_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f286,f117]) ).
fof(f596,plain,
( ~ sQ30_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f286,f104]) ).
fof(f597,plain,
( ~ sQ30_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f286,f116]) ).
fof(f600,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(e_4,e_4,X0)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f286,f92]) ).
fof(f601,plain,
! [X0] :
( ~ sQ30_spl
| ~ product(e_4,e_4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f600,f101]) ).
fof(f602,plain,
( ~ sQ26_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f273,f105]) ).
fof(f603,plain,
( ~ sQ26_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f273,f117]) ).
fof(f607,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(X0,e_1,e_4)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f273,f92]) ).
fof(f608,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_4,e_4,X0)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f273,f92]) ).
fof(f609,plain,
( ~ sQ41_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f336,f115]) ).
fof(f612,plain,
! [X0] :
( ~ sQ41_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f336,f92]) ).
fof(f613,plain,
! [X0] :
( ~ sQ41_spl
| ~ product(e_3,e_3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f612,f104]) ).
fof(f614,plain,
( ~ sQ46_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f352,f613]) ).
fof(f615,plain,
( ~ sQ46_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( ~ sQ44_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f345,f102]) ).
fof(f623,plain,
( ~ sQ49_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f362,f112]) ).
fof(f624,plain,
( ~ sQ49_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f362,f99]) ).
fof(f625,plain,
( ~ sQ49_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f362,f93]) ).
fof(f627,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f362,f92]) ).
fof(f628,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(e_3,e_3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f627,f114]) ).
fof(f629,plain,
( ~ sQ55_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f381,f105]) ).
fof(f630,plain,
( ~ sQ33_spl
| ~ sQ55_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f381,f425]) ).
fof(f633,plain,
! [X0] :
( ~ sQ55_spl
| product(e_3,X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f381,f92]) ).
fof(f635,plain,
( ~ sQ43_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f342,f115]) ).
fof(f636,plain,
( ~ sQ43_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f342,f102]) ).
fof(f637,plain,
( ~ sQ33_spl
| ~ sQ43_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f342,f425]) ).
fof(f641,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(e_3,e_4,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f342,f92]) ).
fof(f642,plain,
( ~ sQ43_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f635,f381]) ).
fof(f643,plain,
( ~ sQ43_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f642]) ).
fof(f644,plain,
( ~ sQ48_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f358,f628]) ).
fof(f645,plain,
( ~ sQ48_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f644]) ).
fof(f646,plain,
( ~ sQ54_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f378,f105]) ).
fof(f649,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(e_3,e_1,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f378,f92]) ).
fof(f650,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(e_3,e_1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f649,f105]) ).
fof(f651,plain,
( ~ sQ51_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f368,f112]) ).
fof(f652,plain,
( ~ sQ51_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f368,f99]) ).
fof(f653,plain,
( ~ sQ51_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f368,f93]) ).
fof(f654,plain,
( ~ sQ33_spl
| ~ sQ51_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f368,f425]) ).
fof(f659,plain,
( ~ sQ53_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f375,f105]) ).
fof(f660,plain,
! [X0] :
( ~ sQ53_spl
| product(e_3,X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f375,f92]) ).
fof(f661,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_3,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f375,f92]) ).
fof(f663,plain,
( ~ sQ52_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f371,f112]) ).
fof(f665,plain,
( ~ sQ52_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f371,f93]) ).
fof(f667,plain,
( ~ sQ52_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f371,f100]) ).
fof(f670,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(e_3,e_2,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f371,f92]) ).
fof(f671,plain,
! [X0] :
( ~ sQ52_spl
| ~ product(e_3,e_2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f670,f112]) ).
fof(f672,plain,
( ~ sQ52_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f667,f368]) ).
fof(f673,plain,
( ~ sQ52_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f672]) ).
fof(f674,plain,
( ~ sQ56_spl
| ~ product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f384,f105]) ).
fof(f675,plain,
( ~ sQ56_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f384,f113]) ).
fof(f680,plain,
( ~ sQ56_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f675,f375]) ).
fof(f681,plain,
( ~ sQ56_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f680]) ).
fof(f682,plain,
( ~ sQ42_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f339,f115]) ).
fof(f683,plain,
( ~ sQ42_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f339,f102]) ).
fof(f687,plain,
( ~ sQ42_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f378]) ).
fof(f688,plain,
( ~ sQ42_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f687]) ).
fof(f689,plain,
( ~ sQ50_spl
| ~ product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f365,f112]) ).
fof(f690,plain,
( ~ sQ50_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f365,f99]) ).
fof(f691,plain,
( ~ sQ50_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f365,f93]) ).
fof(f694,plain,
! [X0] :
( ~ sQ50_spl
| product(e_1,e_2,X0)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f365,f92]) ).
fof(f699,plain,
( ~ sQ33_spl
| ~ sQ47_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f355,f425]) ).
fof(f701,plain,
( ~ sQ47_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f355,f103]) ).
fof(f704,plain,
( ~ sQ47_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f701,f349]) ).
fof(f705,plain,
( ~ sQ47_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f704]) ).
fof(f706,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f215,f71]) ).
fof(f707,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f706]) ).
fof(f708,plain,
( ~ sQ33_spl
| ~ sQ55_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f630,f426]) ).
fof(f724,definition,
! [X1] :
( sQ91_spl
<=> ( ~ cycle(e_4,X1)
| ~ greater(X1,e_0) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f725,plain,
! [X0] :
( ~ sQ91_spl
| ~ greater(X0,e_0)
| ~ cycle(e_4,X0) ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f728,plain,
( ~ sQ33_spl
| ~ sQ55_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f708,f377,f380,f295]) ).
fof(f730,plain,
( ~ sQ33_spl
| ~ sQ43_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f637,f308,f341,f295]) ).
fof(f732,plain,
( ~ sQ43_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f636,f355]) ).
fof(f733,plain,
( ~ sQ43_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f732]) ).
fof(f734,plain,
( ~ sQ34_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f299,f592]) ).
fof(f735,plain,
( ~ sQ34_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f734]) ).
fof(f736,plain,
( ~ sQ40_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f318,f601]) ).
fof(f737,plain,
( ~ sQ40_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f736]) ).
fof(f738,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_3,e_3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f661,f107]) ).
fof(f739,plain,
( ~ sQ53_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f659,f348,f374]) ).
fof(f740,plain,
( ~ sQ39_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f388,f301,f314]) ).
fof(f741,plain,
( ~ sQ35_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f435,f348,f301]) ).
fof(f742,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_4,e_4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f608,f117]) ).
fof(f743,plain,
( ~ sQ29_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f455,f365]) ).
fof(f744,plain,
( ~ sQ29_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f743]) ).
fof(f745,plain,
( ~ sQ40_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f396,f345]) ).
fof(f746,plain,
( ~ sQ40_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f745]) ).
fof(f754,plain,
! [X0,X1] :
( ~ sQ67_spl
| ~ next(e_4,X0)
| ~ cycle(e_4,X1)
| ~ greater(X1,e_0)
| equalish(e_3,X0) ),
inference(resolution,[status(thm)],[f517,f67]) ).
fof(f755,plain,
( ~ sQ67_spl
| ~ greater(e_3,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f517,f65]) ).
fof(f756,plain,
( ~ sQ67_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f517,f107]) ).
fof(f757,plain,
! [X0] :
( ~ sQ67_spl
| product(e_1,X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f517,f92]) ).
fof(f759,definition,
! [X0] :
( sQ92_spl
<=> ( ~ next(e_4,X0)
| equalish(e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f762,plain,
( ~ sQ67_spl
| sQ91_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f754,f759,f724,f516]) ).
fof(f763,definition,
( sQ93_spl
<=> greater(e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f766,plain,
( ~ sQ67_spl
| ~ sQ93_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f755,f210,f763,f516]) ).
fof(f767,plain,
( ~ sQ12_spl
| ~ sQ91_spl
| ~ greater(e_1,e_0) ),
inference(resolution,[status(thm)],[f725,f205]) ).
fof(f768,plain,
( ~ sQ13_spl
| ~ sQ91_spl
| ~ greater(e_3,e_0) ),
inference(resolution,[status(thm)],[f725,f208]) ).
fof(f770,plain,
( ~ sQ13_spl
| ~ sQ91_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f768,f177,f724,f207]) ).
fof(f771,plain,
( ~ sQ12_spl
| ~ sQ91_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f767,f165,f724,f204]) ).
fof(f781,plain,
( ~ sQ65_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f511,f102]) ).
fof(f782,plain,
( ~ sQ26_spl
| ~ sQ65_spl
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f511,f607]) ).
fof(f783,plain,
! [X0,X1] :
( ~ sQ65_spl
| ~ next(e_4,X0)
| ~ cycle(e_4,X1)
| ~ greater(X1,e_0)
| equalish(e_4,X0) ),
inference(resolution,[status(thm)],[f511,f67]) ).
fof(f784,plain,
( ~ sQ65_spl
| ~ greater(e_4,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f511,f65]) ).
fof(f789,plain,
! [X0] :
( ~ sQ65_spl
| ~ product(e_1,e_4,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f511,f92]) ).
fof(f790,definition,
( sQ94_spl
<=> greater(e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f793,plain,
( ~ sQ65_spl
| ~ sQ94_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f784,f210,f790,f510]) ).
fof(f795,plain,
( ~ sQ26_spl
| ~ sQ65_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f782,f311,f510,f272]) ).
fof(f796,definition,
! [X0] :
( sQ95_spl
<=> ( ~ next(e_4,X0)
| equalish(e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f799,plain,
( ~ sQ65_spl
| sQ91_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f783,f796,f724,f510]) ).
fof(f800,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f212,f60]) ).
fof(f801,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f800]) ).
fof(f806,plain,
( ~ sQ50_spl
| ~ sQ60_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f494,f694]) ).
fof(f807,plain,
! [X0,X1] :
( ~ sQ60_spl
| ~ next(e_3,X0)
| ~ cycle(e_3,X1)
| ~ greater(X1,e_0)
| equalish(e_1,X0) ),
inference(resolution,[status(thm)],[f494,f67]) ).
fof(f808,plain,
( ~ sQ60_spl
| ~ greater(e_1,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f494,f65]) ).
fof(f812,plain,
! [X0] :
( ~ sQ60_spl
| ~ product(e_1,e_1,X0)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f494,f92]) ).
fof(f813,definition,
( sQ96_spl
<=> greater(e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f816,plain,
( ~ sQ60_spl
| ~ sQ96_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f808,f149,f813,f493]) ).
fof(f817,definition,
! [X0] :
( sQ97_spl
<=> ( ~ next(e_3,X0)
| equalish(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f820,definition,
! [X1] :
( sQ98_spl
<=> ( ~ cycle(e_3,X1)
| ~ greater(X1,e_0) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( ~ sQ60_spl
| sQ98_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f807,f817,f820,f493]) ).
fof(f824,plain,
! [X0] :
( ~ sQ60_spl
| ~ product(e_1,e_1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f812,f107]) ).
fof(f829,plain,
( ~ sQ63_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f504,f112]) ).
fof(f830,plain,
( ~ sQ63_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f504,f99]) ).
fof(f831,plain,
( ~ sQ63_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f504,f93]) ).
fof(f832,plain,
( ~ sQ53_spl
| ~ sQ63_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f504,f660]) ).
fof(f833,plain,
! [X0,X1] :
( ~ sQ63_spl
| ~ next(e_2,X0)
| ~ cycle(e_2,X1)
| ~ greater(X1,e_0)
| equalish(e_3,X0) ),
inference(resolution,[status(thm)],[f504,f67]) ).
fof(f834,plain,
( ~ sQ63_spl
| ~ greater(e_3,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f504,f65]) ).
fof(f838,definition,
! [X0] :
( sQ99_spl
<=> ( ~ next(e_2,X0)
| equalish(e_3,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f841,definition,
! [X1] :
( sQ100_spl
<=> ( ~ cycle(e_2,X1)
| ~ greater(X1,e_0) ) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f844,plain,
( ~ sQ63_spl
| sQ100_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f833,f838,f841,f503]) ).
fof(f845,definition,
( sQ101_spl
<=> greater(e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( sQ101_spl
| ~ greater(e_3,e_2) ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,plain,
( ~ sQ63_spl
| ~ sQ101_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f834,f241,f845,f503]) ).
fof(f849,plain,
( sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f847,f54]) ).
fof(f850,plain,
sQ101_spl,
inference(contradiction_clause,[status(thm)],[f849]) ).
fof(f851,plain,
( ~ sQ61_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f498,f112]) ).
fof(f852,plain,
( ~ sQ61_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f498,f99]) ).
fof(f853,plain,
( ~ sQ61_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f498,f93]) ).
fof(f854,plain,
( ~ sQ26_spl
| ~ sQ61_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f498,f607]) ).
fof(f855,plain,
! [X0,X1] :
( ~ sQ61_spl
| ~ next(e_2,X0)
| ~ cycle(e_2,X1)
| ~ greater(X1,e_0)
| equalish(e_4,X0) ),
inference(resolution,[status(thm)],[f498,f67]) ).
fof(f856,plain,
( ~ sQ61_spl
| ~ greater(e_4,e_2)
| ~ cycle(e_2,e_0) ),
inference(resolution,[status(thm)],[f498,f65]) ).
fof(f857,plain,
( ~ sQ61_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f498,f107]) ).
fof(f862,definition,
( sQ102_spl
<=> greater(e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f864,plain,
( sQ102_spl
| ~ greater(e_4,e_2) ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f865,plain,
( ~ sQ61_spl
| ~ sQ102_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f856,f241,f862,f497]) ).
fof(f866,definition,
! [X0] :
( sQ103_spl
<=> ( ~ next(e_2,X0)
| equalish(e_4,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( ~ sQ61_spl
| sQ100_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f855,f866,f841,f497]) ).
fof(f870,plain,
( sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f864,f55]) ).
fof(f871,plain,
sQ102_spl,
inference(contradiction_clause,[status(thm)],[f870]) ).
fof(f872,plain,
( ~ sQ70_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f527,f105]) ).
fof(f874,plain,
( ~ sQ70_spl
| ~ greater(e_2,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f527,f65]) ).
fof(f875,plain,
( ~ sQ70_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f527,f107]) ).
fof(f884,definition,
! [X1] :
( sQ105_spl
<=> ( ~ cycle(e_1,X1)
| ~ greater(X1,e_0) ) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f888,definition,
( sQ106_spl
<=> greater(e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f890,plain,
( sQ106_spl
| ~ greater(e_2,e_1) ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f891,plain,
( ~ sQ70_spl
| ~ sQ106_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f874,f252,f888,f526]) ).
fof(f892,plain,
( sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f890,f51]) ).
fof(f893,plain,
sQ106_spl,
inference(contradiction_clause,[status(thm)],[f892]) ).
fof(f894,plain,
( ~ sQ69_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f524,f603]) ).
fof(f895,plain,
( ~ sQ69_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f894]) ).
fof(f896,plain,
( ~ sQ27_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f429,f374,f275]) ).
fof(f897,plain,
( ~ sQ54_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f378,f691]) ).
fof(f898,plain,
( ~ sQ54_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f897]) ).
fof(f899,plain,
( ~ sQ49_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f624,f335,f361]) ).
fof(f900,plain,
( ~ sQ29_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f452,f308,f282]) ).
fof(f901,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(e_3,e_4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f641,f102]) ).
fof(f902,plain,
( ~ sQ71_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f530,f105]) ).
fof(f904,plain,
( ~ sQ71_spl
| ~ greater(e_3,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f530,f65]) ).
fof(f905,plain,
( ~ sQ71_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f530,f107]) ).
fof(f907,plain,
! [X0] :
( ~ sQ71_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f530,f92]) ).
fof(f913,definition,
( sQ108_spl
<=> greater(e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f915,plain,
( sQ108_spl
| ~ greater(e_3,e_1) ),
inference(component_clause,[status(thm)],[f913]) ).
fof(f916,plain,
( ~ sQ71_spl
| ~ sQ108_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f904,f252,f913,f529]) ).
fof(f917,plain,
( ~ sQ31_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f474,f361,f288]) ).
fof(f918,plain,
( sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f915,f52]) ).
fof(f919,plain,
sQ108_spl,
inference(contradiction_clause,[status(thm)],[f918]) ).
fof(f920,plain,
( ~ sQ58_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f650]) ).
fof(f921,plain,
( ~ sQ58_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f920]) ).
fof(f922,plain,
( ~ sQ50_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f689,f351,f364]) ).
fof(f923,plain,
( ~ sQ31_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f471,f314,f288]) ).
fof(f924,plain,
( ~ sQ50_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f690,f338,f364]) ).
fof(f925,plain,
( ~ sQ42_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f683,f351,f338]) ).
fof(f926,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f653,f380,f367]) ).
fof(f927,plain,
( ~ sQ30_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f596,f367,f285]) ).
fof(f928,plain,
( ~ sQ51_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f651,f354,f367]) ).
fof(f929,plain,
( ~ sQ29_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f453,f269,f282]) ).
fof(f930,plain,
( ~ sQ49_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f623,f348,f361]) ).
fof(f931,plain,
( ~ sQ30_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f594,f272,f285]) ).
fof(f932,plain,
( ~ sQ51_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f652,f341,f367]) ).
fof(f933,plain,
( ~ sQ49_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f625,f374,f361]) ).
fof(f934,plain,
( ~ sQ33_spl
| ~ sQ47_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f699,f338,f354,f295]) ).
fof(f935,plain,
( ~ sQ41_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f609,f374,f335]) ).
fof(f936,plain,
( ~ sQ55_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f629,f354,f380]) ).
fof(f937,plain,
( ~ sQ34_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f462,f354,f298]) ).
fof(f940,plain,
( ~ sQ62_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f501,f112]) ).
fof(f941,plain,
( ~ sQ62_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f501,f99]) ).
fof(f942,plain,
( ~ sQ62_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f501,f93]) ).
fof(f943,plain,
! [X0,X1] :
( ~ sQ62_spl
| ~ next(e_2,X0)
| ~ cycle(e_2,X1)
| ~ greater(X1,e_0)
| equalish(e_2,X0) ),
inference(resolution,[status(thm)],[f501,f67]) ).
fof(f950,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_1,e_2,X0)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f501,f92]) ).
fof(f951,definition,
! [X0] :
( sQ109_spl
<=> ( ~ next(e_2,X0)
| equalish(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f954,plain,
( ~ sQ62_spl
| sQ100_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f943,f951,f841,f500]) ).
fof(f955,plain,
! [X0] :
( ~ sQ62_spl
| ~ product(e_1,e_2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f950,f93]) ).
fof(f960,plain,
( ~ sQ66_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f514,f115]) ).
fof(f961,plain,
( ~ sQ66_spl
| ~ product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f514,f102]) ).
fof(f962,plain,
! [X0,X1] :
( ~ sQ66_spl
| ~ next(e_4,X0)
| ~ cycle(e_4,X1)
| ~ greater(X1,e_0)
| equalish(e_2,X0) ),
inference(resolution,[status(thm)],[f514,f67]) ).
fof(f963,plain,
( ~ sQ66_spl
| ~ greater(e_2,e_4)
| ~ cycle(e_4,e_0) ),
inference(resolution,[status(thm)],[f514,f65]) ).
fof(f964,plain,
( ~ sQ66_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f514,f107]) ).
fof(f969,plain,
! [X0] :
( ~ sQ66_spl
| product(e_2,e_4,X0)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f514,f92]) ).
fof(f970,definition,
! [X0] :
( sQ111_spl
<=> ( ~ next(e_4,X0)
| equalish(e_2,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f973,plain,
( ~ sQ66_spl
| sQ91_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f962,f970,f724,f513]) ).
fof(f974,definition,
( sQ112_spl
<=> greater(e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f977,plain,
( ~ sQ66_spl
| ~ sQ112_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f963,f210,f974,f513]) ).
fof(f978,plain,
( ~ sQ68_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f520,f115]) ).
fof(f985,plain,
! [X0] :
( ~ sQ68_spl
| ~ product(e_1,e_1,X0)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f520,f92]) ).
fof(f987,plain,
! [X0] :
( ~ sQ68_spl
| ~ product(e_1,e_1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f985,f117]) ).
fof(f994,plain,
( ~ sQ59_spl
| ~ greater(e_3,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f491,f65]) ).
fof(f995,plain,
( ~ sQ59_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f491,f107]) ).
fof(f997,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(e_1,e_3,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f491,f92]) ).
fof(f998,definition,
( sQ113_spl
<=> greater(e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1001,plain,
( ~ sQ59_spl
| ~ sQ113_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f994,f149,f998,f490]) ).
fof(f1002,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(e_1,e_3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f997,f105]) ).
fof(f1003,plain,
( ~ sQ59_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f995,f348,f490]) ).
fof(f1013,plain,
( ~ sQ72_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f533,f105]) ).
fof(f1014,plain,
! [X0,X1] :
( ~ sQ72_spl
| ~ next(e_1,X0)
| ~ cycle(e_1,X1)
| ~ greater(X1,e_0)
| equalish(e_1,X0) ),
inference(resolution,[status(thm)],[f533,f67]) ).
fof(f1015,plain,
( ~ sQ72_spl
| ~ greater(e_1,e_1)
| ~ cycle(e_1,e_0) ),
inference(resolution,[status(thm)],[f533,f65]) ).
fof(f1016,plain,
( ~ sQ72_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f533,f107]) ).
fof(f1022,definition,
! [X0] :
( sQ115_spl
<=> ( ~ next(e_1,X0)
| equalish(e_1,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1025,plain,
( ~ sQ72_spl
| sQ105_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f1014,f1022,f884,f532]) ).
fof(f1026,definition,
( sQ116_spl
<=> greater(e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1029,plain,
( ~ sQ72_spl
| ~ sQ116_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f1015,f252,f1026,f532]) ).
fof(f1030,plain,
( ~ sQ64_spl
| ~ product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f507,f112]) ).
fof(f1031,plain,
( ~ sQ64_spl
| ~ product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f507,f99]) ).
fof(f1032,plain,
( ~ sQ64_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f507,f93]) ).
fof(f1035,plain,
( ~ sQ64_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f507,f107]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ64_spl
| ~ product(e_1,e_1,X0)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f507,f92]) ).
fof(f1047,plain,
! [X0] :
( ~ sQ64_spl
| ~ product(e_1,e_1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1038,f95]) ).
fof(f1048,plain,
( ~ sQ64_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1035,f364,f506]) ).
fof(f1049,plain,
( ~ sQ61_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f857,f367,f497]) ).
fof(f1050,plain,
( ~ sQ38_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f312,f742]) ).
fof(f1051,plain,
( ~ sQ38_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f1050]) ).
fof(f1052,plain,
( ~ sQ27_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f427,f301,f275]) ).
fof(f1053,plain,
( ~ sQ79_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f560,f955]) ).
fof(f1054,plain,
( ~ sQ79_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1053]) ).
fof(f1055,plain,
( ~ sQ66_spl
| ~ sQ80_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f563,f969]) ).
fof(f1056,plain,
( ~ sQ80_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f563,f105]) ).
fof(f1057,plain,
( ~ sQ80_spl
| ~ product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f563,f114]) ).
fof(f1063,plain,
( ~ sQ66_spl
| ~ sQ80_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f1055,f282,f562,f513]) ).
fof(f1066,plain,
( ~ sQ77_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f554,f114]) ).
fof(f1067,plain,
( ~ sQ77_spl
| ~ product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f554,f101]) ).
fof(f1068,plain,
( ~ sQ77_spl
| ~ product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f554,f95]) ).
fof(f1073,plain,
( ~ sQ76_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f550,f112]) ).
fof(f1074,plain,
( ~ sQ76_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f550,f99]) ).
fof(f1076,plain,
( ~ sQ76_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f550,f114]) ).
fof(f1077,plain,
( ~ sQ76_spl
| ~ product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f550,f101]) ).
fof(f1078,plain,
( ~ sQ76_spl
| ~ product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f550,f95]) ).
fof(f1082,plain,
( ~ sQ76_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f1078,f506,f549]) ).
fof(f1083,plain,
( ~ sQ82_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f570,f114]) ).
fof(f1084,plain,
( ~ sQ82_spl
| ~ product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f570,f101]) ).
fof(f1085,plain,
( ~ sQ82_spl
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f570,f95]) ).
fof(f1087,plain,
! [X0] :
( ~ sQ82_spl
| ~ product(e_2,e_3,X0)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f570,f92]) ).
fof(f1088,plain,
! [X0] :
( ~ sQ82_spl
| ~ product(e_2,e_3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1087,f112]) ).
fof(f1089,plain,
( ~ sQ78_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f557,f105]) ).
fof(f1090,plain,
( ~ sQ78_spl
| ~ product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f557,f114]) ).
fof(f1091,plain,
( ~ sQ78_spl
| ~ product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f557,f101]) ).
fof(f1092,plain,
( ~ sQ78_spl
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f557,f95]) ).
fof(f1095,plain,
( ~ sQ78_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1089,f570]) ).
fof(f1096,plain,
( ~ sQ78_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f1095]) ).
fof(f1098,plain,
( ~ sQ81_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f567,f114]) ).
fof(f1099,plain,
( ~ sQ81_spl
| ~ product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f567,f101]) ).
fof(f1100,plain,
( ~ sQ81_spl
| ~ product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f567,f95]) ).
fof(f1106,plain,
( ~ sQ81_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1098,f354,f566]) ).
fof(f1107,plain,
( ~ sQ26_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f602,f298,f272]) ).
fof(f1108,plain,
( ~ sQ39_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f389,f516,f314]) ).
fof(f1109,plain,
( ~ sQ46_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f352,f628]) ).
fof(f1110,plain,
( ~ sQ46_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f1109]) ).
fof(f1111,plain,
( ~ sQ40_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f395,f513,f317]) ).
fof(f1112,plain,
( ~ sQ62_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f942,f526,f500]) ).
fof(f1113,plain,
( ~ sQ66_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f960,f526,f513]) ).
fof(f1114,plain,
( ~ sQ62_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f941,f513,f500]) ).
fof(f1115,plain,
( ~ sQ39_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f390,f335,f314]) ).
fof(f1118,plain,
( ~ sQ39_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f387,f275,f314]) ).
fof(f1119,plain,
( ~ sQ86_spl
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f583,f115]) ).
fof(f1120,plain,
( ~ sQ86_spl
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f583,f102]) ).
fof(f1121,plain,
( ~ sQ86_spl
| ~ product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f583,f114]) ).
fof(f1122,plain,
( ~ sQ86_spl
| ~ product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f583,f101]) ).
fof(f1123,plain,
( ~ sQ86_spl
| ~ product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f583,f95]) ).
fof(f1126,plain,
( ~ sQ86_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f1122,f314,f582]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ83_spl
| ~ product(e_2,e_2,X0)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f573,f92]) ).
fof(f1135,plain,
! [X0] :
( ~ sQ83_spl
| ~ product(e_2,e_2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1134,f114]) ).
fof(f1136,plain,
( ~ sQ75_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f547,f1135]) ).
fof(f1137,plain,
( ~ sQ75_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f1136]) ).
fof(f1138,plain,
( ~ sQ88_spl
| ~ product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f589,f115]) ).
fof(f1139,plain,
( ~ sQ88_spl
| ~ product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f589,f102]) ).
fof(f1140,plain,
( ~ sQ88_spl
| ~ product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f589,f114]) ).
fof(f1141,plain,
( ~ sQ88_spl
| ~ product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f589,f101]) ).
fof(f1146,plain,
( ~ sQ88_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f1140,f338,f588]) ).
fof(f1147,plain,
( ~ sQ54_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f646,f351,f377]) ).
fof(f1148,plain,
( ~ sQ84_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f576,f671]) ).
fof(f1149,plain,
( ~ sQ84_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1148]) ).
fof(f1151,plain,
( ~ sQ26_spl
| ~ sQ61_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f854,f102]) ).
fof(f1152,plain,
( ~ sQ26_spl
| ~ sQ61_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f854,f114]) ).
fof(f1156,plain,
( ~ sQ26_spl
| ~ sQ61_spl
| ~ product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f854,f103]) ).
fof(f1161,plain,
( ~ sQ77_spl
| ~ sQ66_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f969,f554]) ).
fof(f1162,plain,
( ~ sQ77_spl
| ~ sQ66_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1161,f285,f513,f553]) ).
fof(f1165,plain,
( ~ sQ87_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f586,f115]) ).
fof(f1167,plain,
( ~ sQ87_spl
| ~ product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f586,f114]) ).
fof(f1168,plain,
( ~ sQ87_spl
| ~ product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f586,f101]) ).
fof(f1169,plain,
( ~ sQ87_spl
| ~ product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f586,f95]) ).
fof(f1174,plain,
! [X0] :
( ~ sQ87_spl
| ~ product(e_2,e_2,X0)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f586,f92]) ).
fof(f1175,plain,
( ~ sQ87_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f1167,f344,f585]) ).
fof(f1176,plain,
( ~ sQ87_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f1169,f513,f585]) ).
fof(f1177,plain,
! [X0] :
( ~ sQ87_spl
| ~ product(e_2,e_2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1174,f101]) ).
fof(f1178,plain,
( ~ sQ87_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f1165,f559,f585]) ).
fof(f1180,plain,
( ~ sQ85_spl
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f580,f102]) ).
fof(f1181,plain,
( ~ sQ85_spl
| ~ product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f580,f114]) ).
fof(f1183,plain,
( ~ sQ85_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f580,f95]) ).
fof(f1187,plain,
! [X0] :
( ~ sQ85_spl
| ~ product(e_2,e_4,X0)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f580,f92]) ).
fof(f1188,plain,
( ~ sQ57_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f485,f650]) ).
fof(f1189,plain,
( ~ sQ57_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f1188]) ).
fof(f1199,plain,
( ~ sQ85_spl
| ~ sQ29_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f457,f580]) ).
fof(f1200,plain,
( ~ sQ85_spl
| ~ sQ29_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1199,f308,f282,f579]) ).
fof(f1201,plain,
( ~ sQ30_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f597,f282,f285]) ).
fof(f1202,plain,
( ~ sQ72_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1013,f493,f532]) ).
fof(f1203,plain,
( ~ sQ86_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f1120,f569,f582]) ).
fof(f1204,plain,
( ~ sQ72_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1016,f377,f532]) ).
fof(f1205,plain,
( ~ sQ30_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f595,f497,f285]) ).
fof(f1206,plain,
( ~ sQ44_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f345,f964]) ).
fof(f1207,plain,
( ~ sQ44_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1206]) ).
fof(f1208,plain,
( ~ sQ85_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f1180,f566,f579]) ).
fof(f1209,plain,
( ~ sQ26_spl
| ~ sQ61_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1152,f341,f497,f272]) ).
fof(f1210,plain,
( ~ sQ26_spl
| ~ sQ61_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f1151,f566,f497,f272]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ85_spl
| ~ product(e_2,e_4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1187,f99]) ).
fof(f1212,plain,
( ~ sQ85_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f1181,f341,f579]) ).
fof(f1213,plain,
( ~ sQ81_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f1100,f484,f566]) ).
fof(f1214,plain,
( ~ sQ37_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f405,f295,f308]) ).
fof(f1215,plain,
( ~ sQ86_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f1121,f335,f582]) ).
fof(f1216,plain,
( ~ sQ78_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f1091,f275,f556]) ).
fof(f1217,plain,
( ~ sQ78_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f1092,f529,f556]) ).
fof(f1218,plain,
( ~ sQ86_spl
| ~ sQ78_spl ),
inference(split_clause,[status(thm)],[f1119,f556,f582]) ).
fof(f1219,plain,
( ~ sQ27_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f428,f529,f275]) ).
fof(f1227,plain,
( ~ sQ81_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f567,f671]) ).
fof(f1228,plain,
( ~ sQ81_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1227]) ).
fof(f1229,plain,
( ~ sQ83_spl
| ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f573,f671]) ).
fof(f1230,plain,
( ~ sQ83_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f1229]) ).
fof(f1231,plain,
( ~ sQ48_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f358,f738]) ).
fof(f1232,plain,
( ~ sQ48_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f1231]) ).
fof(f1233,plain,
( ~ sQ64_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f1032,f532,f506]) ).
fof(f1234,plain,
( ~ sQ28_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f443,f383,f278]) ).
fof(f1235,plain,
( ~ sQ61_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f851,f484,f497]) ).
fof(f1240,plain,
( ~ sQ29_spl
| ~ sQ66_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f514,f458]) ).
fof(f1253,plain,
( ~ sQ66_spl
| ~ sQ29_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f1240,f969]) ).
fof(f1255,plain,
( ~ sQ29_spl
| ~ sQ66_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f1240,f114]) ).
fof(f1264,plain,
( ~ sQ29_spl
| ~ sQ66_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1255,f383,f513,f282]) ).
fof(f1265,plain,
( ~ sQ66_spl
| ~ sQ29_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1253,f291,f282,f513]) ).
fof(f1266,plain,
( ~ sQ32_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f413,f278,f291]) ).
fof(f1267,plain,
( ~ sQ32_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f415,f370,f291]) ).
fof(f1269,plain,
( ~ sQ54_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f378,f1002]) ).
fof(f1270,plain,
( ~ sQ54_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1269]) ).
fof(f1271,plain,
( ~ sQ31_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f472,f275,f288]) ).
fof(f1272,plain,
( ~ sQ82_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1083,f348,f569]) ).
fof(f1273,plain,
( ~ sQ58_spl
| ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f961]) ).
fof(f1274,plain,
( ~ sQ58_spl
| ~ sQ66_spl ),
inference(contradiction_clause,[status(thm)],[f1273]) ).
fof(f1275,plain,
( ~ sQ77_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f1066,f380,f553]) ).
fof(f1276,plain,
( ~ sQ82_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f1084,f301,f569]) ).
fof(f1282,plain,
( ~ sQ32_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f1211]) ).
fof(f1283,plain,
( ~ sQ32_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1282]) ).
fof(f1284,plain,
( ~ sQ32_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f414,f500,f291]) ).
fof(f1285,plain,
( ~ sQ77_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f1067,f272,f553]) ).
fof(f1286,plain,
( ~ sQ86_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f1123,f516,f582]) ).
fof(f1287,plain,
( ~ sQ65_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f781,f484,f510]) ).
fof(f1288,plain,
( ~ sQ85_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f1183,f510,f579]) ).
fof(f1289,plain,
! [X0] :
( ~ sQ65_spl
| ~ product(e_1,e_4,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f789,f115]) ).
fof(f1290,plain,
( ~ sQ78_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f1090,f374,f556]) ).
fof(f1301,plain,
( ~ sQ73_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f541,f1135]) ).
fof(f1302,plain,
( ~ sQ73_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f1301]) ).
fof(f1303,plain,
( ~ sQ74_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f544,f1135]) ).
fof(f1304,plain,
( ~ sQ74_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f1303]) ).
fof(f1305,plain,
( ~ sQ76_spl
| ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f550,f1135]) ).
fof(f1306,plain,
( ~ sQ76_spl
| ~ sQ83_spl ),
inference(contradiction_clause,[status(thm)],[f1305]) ).
fof(f1315,plain,
( ~ sQ37_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f309,f601]) ).
fof(f1316,plain,
( ~ sQ37_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1315]) ).
fof(f1317,plain,
( ~ sQ68_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f978,f532,f519]) ).
fof(f1318,plain,
( ~ sQ39_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f315,f601]) ).
fof(f1319,plain,
( ~ sQ39_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1318]) ).
fof(f1320,plain,
( ~ sQ38_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f312,f601]) ).
fof(f1321,plain,
( ~ sQ38_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f1320]) ).
fof(f1322,plain,
( ~ sQ80_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f563,f955]) ).
fof(f1323,plain,
( ~ sQ80_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1322]) ).
fof(f1324,plain,
( ~ sQ77_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f554,f955]) ).
fof(f1325,plain,
( ~ sQ77_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f1324]) ).
fof(f1326,plain,
( ~ sQ31_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f1211]) ).
fof(f1327,plain,
( ~ sQ31_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f1326]) ).
fof(f1328,plain,
( ~ sQ31_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f473,f503,f288]) ).
fof(f1329,plain,
( ~ sQ63_spl
| ~ sQ71_spl ),
inference(split_clause,[status(thm)],[f831,f529,f503]) ).
fof(f1330,plain,
( ~ sQ71_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f905,f374,f529]) ).
fof(f1331,plain,
( ~ sQ37_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f406,f519,f308]) ).
fof(f1332,plain,
( ~ sQ53_spl
| ~ sQ63_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f832,f569,f503,f374]) ).
fof(f1334,plain,
( ~ sQ87_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f1168,f317,f585]) ).
fof(f1335,plain,
( ~ sQ77_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f1068,f523,f553]) ).
fof(f1336,plain,
( ~ sQ40_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f393,f278,f317]) ).
fof(f1337,plain,
( ~ sQ28_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f442,f526,f278]) ).
fof(f1338,plain,
( ~ sQ28_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f441,f304,f278]) ).
fof(f1339,plain,
( ~ sQ40_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f394,f304,f317]) ).
fof(f1346,plain,
( ~ sQ57_spl
| ~ greater(e_4,e_3)
| ~ cycle(e_3,e_0) ),
inference(resolution,[status(thm)],[f485,f65]) ).
fof(f1347,plain,
( ~ sQ57_spl
| ~ product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f485,f107]) ).
fof(f1352,plain,
( ~ sQ57_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f1347,f354,f484]) ).
fof(f1357,definition,
( sQ121_spl
<=> greater(e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1359,plain,
( sQ121_spl
| ~ greater(e_4,e_3) ),
inference(component_clause,[status(thm)],[f1357]) ).
fof(f1360,plain,
( ~ sQ57_spl
| ~ sQ121_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f1346,f149,f1357,f484]) ).
fof(f1361,plain,
( ~ sQ88_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1139,f575,f588]) ).
fof(f1362,plain,
( sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1359,f56]) ).
fof(f1363,plain,
sQ121_spl,
inference(contradiction_clause,[status(thm)],[f1362]) ).
fof(f1364,plain,
( ~ sQ69_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f524,f1047]) ).
fof(f1365,plain,
( ~ sQ69_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f1364]) ).
fof(f1366,plain,
( ~ sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f829,f490,f503]) ).
fof(f1367,plain,
( ~ sQ35_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f434,f490,f301]) ).
fof(f1374,plain,
( ~ sQ75_spl
| ~ product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f547,f99]) ).
fof(f1375,plain,
( ~ sQ75_spl
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f547,f93]) ).
fof(f1377,plain,
( ~ sQ75_spl
| ~ product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f547,f101]) ).
fof(f1378,plain,
( ~ sQ75_spl
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f547,f95]) ).
fof(f1386,plain,
( ~ sQ75_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f1377,f291,f546]) ).
fof(f1387,plain,
( ~ sQ25_spl
| ~ product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f270,f105]) ).
fof(f1392,plain,
! [X0] :
( ~ sQ25_spl
| ~ product(e_4,e_1,X0)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f270,f92]) ).
fof(f1393,plain,
! [X0] :
( ~ sQ25_spl
| ~ product(e_4,e_1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1392,f115]) ).
fof(f1396,plain,
( ~ sQ38_spl
| ~ product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f312,f117]) ).
fof(f1404,plain,
( ~ sQ66_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f1393]) ).
fof(f1405,plain,
( ~ sQ66_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1404]) ).
fof(f1406,plain,
( ~ sQ56_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f674,f357,f383]) ).
fof(f1407,plain,
( ~ sQ71_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f902,f490,f529]) ).
fof(f1408,plain,
( ~ sQ88_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1141,f308,f588]) ).
fof(f1409,plain,
( ~ sQ52_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f665,f383,f370]) ).
fof(f1410,plain,
( ~ sQ52_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f663,f357,f370]) ).
fof(f1411,plain,
( ~ sQ82_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1085,f490,f569]) ).
fof(f1412,plain,
( ~ sQ26_spl
| ~ sQ61_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f854,f579,f497,f272]) ).
fof(f1413,plain,
( ~ sQ26_spl
| ~ sQ61_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f1156,f582,f497,f272]) ).
fof(f1414,plain,
( ~ sQ64_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f1030,f493,f506]) ).
fof(f1421,plain,
( ~ sQ71_spl
| ~ sQ56_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f384,f907]) ).
fof(f1428,plain,
( ~ sQ71_spl
| ~ sQ56_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f1421,f487,f383,f529]) ).
fof(f1429,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f384,f1002]) ).
fof(f1430,plain,
( ~ sQ56_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f1429]) ).
fof(f1432,plain,
( ~ sQ33_spl
| ~ sQ51_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f654,f588,f367,f295]) ).
fof(f1433,plain,
( ~ sQ34_spl
| ~ sQ57_spl ),
inference(split_clause,[status(thm)],[f461,f484,f298]) ).
fof(f1434,plain,
( ~ sQ61_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f853,f523,f497]) ).
fof(f1436,plain,
( ~ sQ81_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f1099,f298,f566]) ).
fof(f1437,plain,
( ~ sQ50_spl
| ~ sQ60_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f806,f562,f493,f364]) ).
fof(f1441,plain,
( ~ sQ73_spl
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f541,f93]) ).
fof(f1442,plain,
( ~ sQ73_spl
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f541,f114]) ).
fof(f1444,plain,
( ~ sQ73_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f541,f95]) ).
fof(f1449,plain,
( ~ sQ73_spl
| ~ sQ51_spl ),
inference(split_clause,[status(thm)],[f1442,f367,f540]) ).
fof(f1451,plain,
( ~ sQ76_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1073,f575,f549]) ).
fof(f1466,plain,
( ~ sQ79_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f560,f114]) ).
fof(f1467,plain,
( ~ sQ79_spl
| ~ product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f560,f101]) ).
fof(f1468,plain,
( ~ sQ79_spl
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f560,f95]) ).
fof(f1474,plain,
( ~ sQ79_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f1466,f383,f559]) ).
fof(f1476,plain,
( ~ sQ88_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f589,f421]) ).
fof(f1477,plain,
( ~ sQ88_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f1476]) ).
fof(f1478,plain,
( ~ sQ32_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f412,f317,f291]) ).
fof(f1479,plain,
( ~ sQ70_spl
| ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f527,f824]) ).
fof(f1480,plain,
( ~ sQ70_spl
| ~ sQ60_spl ),
inference(contradiction_clause,[status(thm)],[f1479]) ).
fof(f1481,plain,
( ~ sQ73_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f1441,f553,f540]) ).
fof(f1482,plain,
( ~ sQ73_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f1444,f497,f540]) ).
fof(f1488,plain,
( ~ sQ68_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f520,f1393]) ).
fof(f1489,plain,
( ~ sQ68_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1488]) ).
fof(f1490,plain,
( ~ sQ70_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f875,f383,f526]) ).
fof(f1491,plain,
( ~ sQ64_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f1031,f519,f506]) ).
fof(f1492,plain,
( ~ sQ70_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f527,f987]) ).
fof(f1493,plain,
( ~ sQ70_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f1492]) ).
fof(f1494,plain,
( ~ sQ39_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f315,f467]) ).
fof(f1495,plain,
( ~ sQ39_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1494]) ).
fof(f1496,plain,
( ~ sQ79_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1467,f278,f559]) ).
fof(f1497,plain,
( ~ sQ71_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f530,f987]) ).
fof(f1498,plain,
( ~ sQ71_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f1497]) ).
fof(f1499,plain,
( ~ sQ33_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f422,f493,f295]) ).
fof(f1500,plain,
( ~ sQ69_spl
| ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f524,f987]) ).
fof(f1501,plain,
( ~ sQ69_spl
| ~ sQ68_spl ),
inference(contradiction_clause,[status(thm)],[f1500]) ).
fof(f1502,plain,
( ~ sQ38_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f1396,f510,f311]) ).
fof(f1503,plain,
( ~ sQ33_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f423,f351,f295]) ).
fof(f1504,plain,
( ~ sQ25_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f1387,f295,f269]) ).
fof(f1505,plain,
( ~ sQ79_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f1468,f526,f559]) ).
fof(f1506,plain,
( ~ sQ80_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f1056,f575,f562]) ).
fof(f1507,plain,
( ~ sQ61_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f852,f510,f497]) ).
fof(f1508,plain,
( ~ sQ75_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f1374,f585,f546]) ).
fof(f1509,plain,
( ~ sQ75_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f1378,f500,f546]) ).
fof(f1510,plain,
( ~ sQ55_spl
| ~ sQ59_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f491,f633]) ).
fof(f1517,plain,
( ~ sQ55_spl
| ~ sQ59_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f1510,f354,f490,f380]) ).
fof(f1519,plain,
( ~ sQ40_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f318,f467]) ).
fof(f1520,plain,
( ~ sQ40_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1519]) ).
fof(f1521,plain,
( ~ sQ27_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f276,f1289]) ).
fof(f1522,plain,
( ~ sQ27_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1521]) ).
fof(f1523,plain,
( ~ sQ62_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f940,f487,f500]) ).
fof(f1524,plain,
( ~ sQ37_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f309,f467]) ).
fof(f1525,plain,
( ~ sQ37_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f1524]) ).
fof(f1526,plain,
( ~ sQ76_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1077,f282,f549]) ).
fof(f1527,plain,
( ~ sQ80_spl
| ~ sQ54_spl ),
inference(split_clause,[status(thm)],[f1057,f377,f562]) ).
fof(f1528,plain,
( ~ sQ63_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f830,f516,f503]) ).
fof(f1562,plain,
( ~ sQ29_spl
| ~ sQ67_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f757,f283]) ).
fof(f1563,plain,
( ~ sQ29_spl
| ~ sQ67_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f1562,f556,f516,f282]) ).
fof(f1564,plain,
( ~ sQ37_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f407,f338,f308]) ).
fof(f1565,plain,
( ~ sQ52_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f371,f1088]) ).
fof(f1566,plain,
( ~ sQ52_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f1565]) ).
fof(f1567,plain,
( ~ sQ74_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f544,f1177]) ).
fof(f1568,plain,
( ~ sQ74_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f1567]) ).
fof(f1569,plain,
( ~ sQ76_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f550,f1177]) ).
fof(f1570,plain,
( ~ sQ76_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f1569]) ).
fof(f1571,plain,
( ~ sQ75_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f1375,f559,f546]) ).
fof(f1572,plain,
( ~ sQ88_spl
| ~ sQ80_spl ),
inference(split_clause,[status(thm)],[f1138,f562,f588]) ).
fof(f1573,plain,
( ~ sQ41_spl
| ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f336,f756]) ).
fof(f1574,plain,
( ~ sQ41_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f1573]) ).
fof(f1575,plain,
( ~ sQ70_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f872,f487,f526]) ).
fof(f1576,plain,
( ~ sQ76_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f1076,f364,f549]) ).
fof(f1577,plain,
( ~ sQ76_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f1074,f588,f549]) ).
fof(f1578,plain,
( ~ sQ67_spl
| ~ sQ25_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f517,f1393]) ).
fof(f1579,plain,
( ~ sQ67_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f1578]) ).
fof(f1580,plain,
( ~ sQ36_spl
| ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f305,f901]) ).
fof(f1581,plain,
( ~ sQ36_spl
| ~ sQ43_spl ),
inference(contradiction_clause,[status(thm)],[f1580]) ).
fof(f1584,plain,
( ~ sQ44_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f617,f357,f344]) ).
fof(f1585,plain,
$false,
inference(sat_refutation,[status(thm)],[f158,f168,f170,f180,f182,f184,f194,f196,f198,f200,f281,f294,f307,f320,f347,f360,f373,f386,f403,f433,f440,f450,f460,f469,f478,f479,f496,f509,f522,f535,f552,f565,f578,f591,f615,f643,f645,f673,f681,f688,f705,f707,f728,f730,f733,f735,f737,f739,f740,f741,f744,f746,f762,f766,f770,f771,f793,f795,f799,f801,f816,f823,f844,f848,f850,f865,f869,f871,f891,f893,f895,f896,f898,f899,f900,f916,f917,f919,f921,f922,f923,f924,f925,f926,f927,f928,f929,f930,f931,f932,f933,f934,f935,f936,f937,f954,f973,f977,f1001,f1003,f1025,f1029,f1048,f1049,f1051,f1052,f1054,f1063,f1082,f1096,f1106,f1107,f1108,f1110,f1111,f1112,f1113,f1114,f1115,f1118,f1126,f1137,f1146,f1147,f1149,f1162,f1175,f1176,f1178,f1189,f1200,f1201,f1202,f1203,f1204,f1205,f1207,f1208,f1209,f1210,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f1228,f1230,f1232,f1233,f1234,f1235,f1264,f1265,f1266,f1267,f1270,f1271,f1272,f1274,f1275,f1276,f1283,f1284,f1285,f1286,f1287,f1288,f1290,f1302,f1304,f1306,f1316,f1317,f1319,f1321,f1323,f1325,f1327,f1328,f1329,f1330,f1331,f1332,f1334,f1335,f1336,f1337,f1338,f1339,f1352,f1360,f1361,f1363,f1365,f1366,f1367,f1386,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1428,f1430,f1432,f1433,f1434,f1436,f1437,f1449,f1451,f1474,f1477,f1478,f1480,f1481,f1482,f1489,f1490,f1491,f1493,f1495,f1496,f1498,f1499,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1517,f1520,f1522,f1523,f1525,f1526,f1527,f1528,f1563,f1564,f1566,f1568,f1570,f1571,f1572,f1574,f1575,f1576,f1577,f1579,f1581,f1584]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP129-3.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n005.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Sun Sep 20 20:00:38 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.37 % Drodi V4.1.1
% 39.83/10.48 % Refutation found
% 39.83/10.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 39.83/10.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 25.13/10.52 % Elapsed time: 5.146661 seconds
% 25.13/10.52 % CPU time: 40.521873 seconds
% 25.13/10.52 % Total memory used: 53.115 MB
% 25.13/10.52 % Net memory used: 48.372 MB
%------------------------------------------------------------------------------