%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP127-4.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:35:53 PM UTC 2026
% Result : Satisfiable 0.13s 0.81s
% Output : Saturation 0.43s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( product(e_5,X,Y)
| product(e_4,X,Y)
| product(e_3,X,Y)
| product(e_2,X,Y)
| product(e_1,X,Y)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( product(X,e_5,Y)
| product(X,e_4,Y)
| product(X,e_3,Y)
| product(X,e_2,Y)
| product(X,e_1,Y)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [Y,X,Z1,Z2] :
( ~ product(Z1,Y,Z2)
| ~ product(Z2,Y,X)
| product(Y,X,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [Z1,Y,Z2,X] :
( ~ product(Y,X,Z1)
| ~ product(Z2,Y,X)
| product(Z1,Y,Z2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
group_element(e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X,Y] :
( product(X,Y,e_5)
| product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [Y,X,Z1,Z2] :
( product(Z2,Y,X)
| ~ product(Z1,Y,Z2)
| ~ product(Y,X,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,plain,
! [X0,X1] :
( product(e_5,X0,X1)
| product(e_4,X0,X1)
| product(e_3,X0,X1)
| product(e_2,X0,X1)
| product(e_1,X0,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
! [X0,X1] :
( product(X0,e_5,X1)
| product(X0,e_4,X1)
| product(X0,e_3,X1)
| product(X0,e_2,X1)
| product(X0,e_1,X1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f38,plain,
! [Y,Z1,Z2] :
( ~ product(Z1,Y,Z2)
| ! [X] :
( ~ product(Z2,Y,X)
| product(Y,X,Z1) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ~ product(X2,X0,X3)
| ~ product(X3,X0,X1)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [Z1,Y,X] :
( ~ product(Y,X,Z1)
| ! [Z2] :
( ~ product(Z2,Y,X)
| product(Z1,Y,Z2) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ~ product(X1,X3,X0)
| ~ product(X2,X1,X3)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f43,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f44,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f45,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f46,plain,
group_element(e_5),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f47,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f48,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f49,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f50,plain,
~ equalish(e_1,e_5),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f51,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f52,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f53,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f54,plain,
~ equalish(e_2,e_5),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f55,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f56,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f57,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f58,plain,
~ equalish(e_3,e_5),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f59,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f60,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f61,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f62,plain,
~ equalish(e_4,e_5),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f63,plain,
~ equalish(e_5,e_1),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f64,plain,
~ equalish(e_5,e_2),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f65,plain,
~ equalish(e_5,e_3),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f66,plain,
~ equalish(e_5,e_4),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f67,plain,
! [X0,X1] :
( product(X0,X1,e_5)
| product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f68,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f74,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f75,plain,
! [Y,X,Z2] :
( product(Z2,Y,X)
| ! [Z1] :
( ~ product(Z1,Y,Z2)
| ~ product(Y,X,Z1) ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( product(X3,X0,X1)
| ~ product(X2,X0,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [X0,X1] :
( ~ product(X1,X1,X0)
| product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f74,f41]) ).
fof(f78,plain,
! [X0,X1] :
( ~ product(X1,X0,X0)
| product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f74,f39]) ).
fof(f80,plain,
! [X0,X1] :
( product(X0,X0,X1)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f76,f74]) ).
fof(f82,plain,
! [X0] :
( product(e_5,e_5,X0)
| product(e_4,e_5,X0)
| product(e_3,e_5,X0)
| product(e_2,e_5,X0)
| product(e_1,e_5,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f36,f46]) ).
fof(f83,plain,
! [X0] :
( product(e_5,e_4,X0)
| product(e_4,e_4,X0)
| product(e_3,e_4,X0)
| product(e_2,e_4,X0)
| product(e_1,e_4,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f36,f45]) ).
fof(f84,plain,
! [X0] :
( product(e_5,e_3,X0)
| product(e_4,e_3,X0)
| product(e_3,e_3,X0)
| product(e_2,e_3,X0)
| product(e_1,e_3,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f36,f44]) ).
fof(f85,plain,
! [X0] :
( product(e_5,e_2,X0)
| product(e_4,e_2,X0)
| product(e_3,e_2,X0)
| product(e_2,e_2,X0)
| product(e_1,e_2,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f36,f43]) ).
fof(f86,plain,
! [X0] :
( product(e_5,e_1,X0)
| product(e_4,e_1,X0)
| product(e_3,e_1,X0)
| product(e_2,e_1,X0)
| product(e_1,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f36,f42]) ).
fof(f87,plain,
! [X0] :
( product(e_5,e_5,X0)
| product(e_5,e_4,X0)
| product(e_5,e_3,X0)
| product(e_5,e_2,X0)
| product(e_5,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f37,f46]) ).
fof(f88,plain,
! [X0] :
( product(e_4,e_5,X0)
| product(e_4,e_4,X0)
| product(e_4,e_3,X0)
| product(e_4,e_2,X0)
| product(e_4,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f37,f45]) ).
fof(f89,plain,
! [X0] :
( product(e_3,e_5,X0)
| product(e_3,e_4,X0)
| product(e_3,e_3,X0)
| product(e_3,e_2,X0)
| product(e_3,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f37,f44]) ).
fof(f90,plain,
! [X0] :
( product(e_2,e_5,X0)
| product(e_2,e_4,X0)
| product(e_2,e_3,X0)
| product(e_2,e_2,X0)
| product(e_2,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f37,f43]) ).
fof(f91,plain,
! [X0] :
( product(e_1,e_5,X0)
| product(e_1,e_4,X0)
| product(e_1,e_3,X0)
| product(e_1,e_2,X0)
| product(e_1,e_1,X0)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f37,f42]) ).
fof(f92,plain,
! [X0] :
( product(e_5,X0,e_5)
| product(e_5,X0,e_4)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| product(e_5,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f67,f46]) ).
fof(f93,plain,
! [X0] :
( product(e_4,X0,e_5)
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f67,f45]) ).
fof(f94,plain,
! [X0] :
( product(e_3,X0,e_5)
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f67,f44]) ).
fof(f95,plain,
! [X0] :
( product(e_2,X0,e_5)
| product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f67,f43]) ).
fof(f96,plain,
! [X0] :
( product(e_1,X0,e_5)
| product(e_1,X0,e_4)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f67,f42]) ).
fof(f97,plain,
( product(e_5,e_5,e_5)
| product(e_4,e_5,e_5)
| product(e_3,e_5,e_5)
| product(e_2,e_5,e_5)
| product(e_1,e_5,e_5) ),
inference(resolution,[status(thm)],[f82,f46]) ).
fof(f98,plain,
( product(e_5,e_5,e_4)
| product(e_4,e_5,e_4)
| product(e_3,e_5,e_4)
| product(e_2,e_5,e_4)
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f82,f45]) ).
fof(f99,plain,
( product(e_5,e_5,e_3)
| product(e_4,e_5,e_3)
| product(e_3,e_5,e_3)
| product(e_2,e_5,e_3)
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f82,f44]) ).
fof(f100,plain,
( product(e_5,e_5,e_2)
| product(e_4,e_5,e_2)
| product(e_3,e_5,e_2)
| product(e_2,e_5,e_2)
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f82,f43]) ).
fof(f101,plain,
( product(e_5,e_5,e_1)
| product(e_4,e_5,e_1)
| product(e_3,e_5,e_1)
| product(e_2,e_5,e_1)
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f82,f42]) ).
fof(f102,definition,
( sQ0_spl
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f103,plain,
( ~ sQ0_spl
| product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f104,plain,
( sQ0_spl
| ~ product(e_1,e_5,e_5) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,definition,
( sQ1_spl
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ1_spl
| product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f107,plain,
( sQ1_spl
| ~ product(e_2,e_5,e_5) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,definition,
( sQ2_spl
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f109,plain,
( ~ sQ2_spl
| product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f110,plain,
( sQ2_spl
| ~ product(e_3,e_5,e_5) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,definition,
( sQ3_spl
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f112,plain,
( ~ sQ3_spl
| product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f113,plain,
( sQ3_spl
| ~ product(e_4,e_5,e_5) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,definition,
( sQ4_spl
<=> product(e_5,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f117,plain,
( sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f97,f102,f105,f108,f111,f114]) ).
fof(f118,definition,
( sQ5_spl
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( ~ sQ5_spl
| product(e_1,e_5,e_4) ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,definition,
( sQ6_spl
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( ~ sQ6_spl
| product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f123,plain,
( sQ6_spl
| ~ product(e_2,e_5,e_4) ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,definition,
( sQ7_spl
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f125,plain,
( ~ sQ7_spl
| product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f126,plain,
( sQ7_spl
| ~ product(e_3,e_5,e_4) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,definition,
( sQ8_spl
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f128,plain,
( ~ sQ8_spl
| product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f129,plain,
( sQ8_spl
| ~ product(e_4,e_5,e_4) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,definition,
( sQ9_spl
<=> product(e_5,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f131,plain,
( ~ sQ9_spl
| product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f132,plain,
( sQ9_spl
| ~ product(e_5,e_5,e_4) ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,plain,
( sQ9_spl
| sQ8_spl
| sQ7_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f98,f118,f121,f124,f127,f130]) ).
fof(f134,definition,
( sQ10_spl
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( ~ sQ10_spl
| product(e_1,e_5,e_3) ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,definition,
( sQ11_spl
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( ~ sQ11_spl
| product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f139,plain,
( sQ11_spl
| ~ product(e_2,e_5,e_3) ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,definition,
( sQ12_spl
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ12_spl
| product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f142,plain,
( sQ12_spl
| ~ product(e_3,e_5,e_3) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,definition,
( sQ13_spl
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ13_spl
| product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f145,plain,
( sQ13_spl
| ~ product(e_4,e_5,e_3) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ14_spl
<=> product(e_5,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ14_spl
| product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f148,plain,
( sQ14_spl
| ~ product(e_5,e_5,e_3) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( sQ14_spl
| sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f99,f134,f137,f140,f143,f146]) ).
fof(f150,definition,
( sQ15_spl
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ15_spl
| product(e_1,e_5,e_2) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,definition,
( sQ16_spl
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( ~ sQ16_spl
| product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f155,plain,
( sQ16_spl
| ~ product(e_2,e_5,e_2) ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,definition,
( sQ17_spl
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( ~ sQ17_spl
| product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f158,plain,
( sQ17_spl
| ~ product(e_3,e_5,e_2) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,definition,
( sQ18_spl
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ18_spl
| product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( sQ18_spl
| ~ product(e_4,e_5,e_2) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,definition,
( sQ19_spl
<=> product(e_5,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ19_spl
| product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f164,plain,
( sQ19_spl
| ~ product(e_5,e_5,e_2) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f100,f150,f153,f156,f159,f162]) ).
fof(f166,definition,
( sQ20_spl
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f167,plain,
( ~ sQ20_spl
| product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f168,plain,
( sQ20_spl
| ~ product(e_1,e_5,e_1) ),
inference(component_clause,[status(thm)],[f166]) ).
fof(f169,definition,
( sQ21_spl
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( ~ sQ21_spl
| product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( sQ21_spl
| ~ product(e_2,e_5,e_1) ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f172,definition,
( sQ22_spl
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( ~ sQ22_spl
| product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f174,plain,
( sQ22_spl
| ~ product(e_3,e_5,e_1) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,definition,
( sQ23_spl
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( ~ sQ23_spl
| product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f177,plain,
( sQ23_spl
| ~ product(e_4,e_5,e_1) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,definition,
( sQ24_spl
<=> product(e_5,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f179,plain,
( ~ sQ24_spl
| product(e_5,e_5,e_1) ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( sQ24_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f101,f166,f169,f172,f175,f178]) ).
fof(f182,plain,
( product(e_5,e_4,e_5)
| product(e_4,e_4,e_5)
| product(e_3,e_4,e_5)
| product(e_2,e_4,e_5)
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f83,f46]) ).
fof(f183,plain,
( product(e_5,e_4,e_4)
| product(e_4,e_4,e_4)
| product(e_3,e_4,e_4)
| product(e_2,e_4,e_4)
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f83,f45]) ).
fof(f184,plain,
( product(e_5,e_4,e_3)
| product(e_4,e_4,e_3)
| product(e_3,e_4,e_3)
| product(e_2,e_4,e_3)
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f83,f44]) ).
fof(f185,plain,
( product(e_5,e_4,e_2)
| product(e_4,e_4,e_2)
| product(e_3,e_4,e_2)
| product(e_2,e_4,e_2)
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f83,f43]) ).
fof(f186,plain,
( product(e_5,e_4,e_1)
| product(e_4,e_4,e_1)
| product(e_3,e_4,e_1)
| product(e_2,e_4,e_1)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f83,f42]) ).
fof(f187,definition,
( sQ25_spl
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ25_spl
| product(e_1,e_4,e_5) ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,definition,
( sQ26_spl
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f191,plain,
( ~ sQ26_spl
| product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f192,plain,
( sQ26_spl
| ~ product(e_2,e_4,e_5) ),
inference(component_clause,[status(thm)],[f190]) ).
fof(f193,definition,
( sQ27_spl
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f194,plain,
( ~ sQ27_spl
| product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f195,plain,
( sQ27_spl
| ~ product(e_3,e_4,e_5) ),
inference(component_clause,[status(thm)],[f193]) ).
fof(f196,definition,
( sQ28_spl
<=> product(e_4,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f197,plain,
( ~ sQ28_spl
| product(e_4,e_4,e_5) ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,definition,
( sQ29_spl
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( ~ sQ29_spl
| product(e_5,e_4,e_5) ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( sQ29_spl
| sQ28_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f182,f187,f190,f193,f196,f199]) ).
fof(f203,definition,
( sQ30_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ30_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,definition,
( sQ31_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ31_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f208,plain,
( sQ31_spl
| ~ product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,definition,
( sQ32_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ32_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f211,plain,
( sQ32_spl
| ~ product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,definition,
( sQ33_spl
<=> product(e_4,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f215,definition,
( sQ34_spl
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ34_spl
| product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f217,plain,
( sQ34_spl
| ~ product(e_5,e_4,e_4) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( sQ34_spl
| sQ33_spl
| sQ32_spl
| sQ31_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f183,f203,f206,f209,f212,f215]) ).
fof(f219,definition,
( sQ35_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f220,plain,
( ~ sQ35_spl
| product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f221,plain,
( sQ35_spl
| ~ product(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f219]) ).
fof(f222,definition,
( sQ36_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ36_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f224,plain,
( sQ36_spl
| ~ product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,definition,
( sQ37_spl
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ37_spl
| product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f227,plain,
( sQ37_spl
| ~ product(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ38_spl
<=> product(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ38_spl
| product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f230,plain,
( sQ38_spl
| ~ product(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,definition,
( sQ39_spl
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ39_spl
| product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f233,plain,
( sQ39_spl
| ~ product(e_5,e_4,e_3) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f184,f219,f222,f225,f228,f231]) ).
fof(f235,definition,
( sQ40_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ40_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f237,plain,
( sQ40_spl
| ~ product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ41_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ41_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f240,plain,
( sQ41_spl
| ~ product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
( sQ42_spl
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ42_spl
| product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f243,plain,
( sQ42_spl
| ~ product(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
( sQ43_spl
<=> product(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ43_spl
| product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f246,plain,
( sQ43_spl
| ~ product(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,definition,
( sQ44_spl
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f248,plain,
( ~ sQ44_spl
| product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f249,plain,
( sQ44_spl
| ~ product(e_5,e_4,e_2) ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f250,plain,
( sQ44_spl
| sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f185,f235,f238,f241,f244,f247]) ).
fof(f251,definition,
( sQ45_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f252,plain,
( ~ sQ45_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f253,plain,
( sQ45_spl
| ~ product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,definition,
( sQ46_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f255,plain,
( ~ sQ46_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f256,plain,
( sQ46_spl
| ~ product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,definition,
( sQ47_spl
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f258,plain,
( ~ sQ47_spl
| product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f259,plain,
( sQ47_spl
| ~ product(e_3,e_4,e_1) ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,definition,
( sQ48_spl
<=> product(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f261,plain,
( ~ sQ48_spl
| product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f262,plain,
( sQ48_spl
| ~ product(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,definition,
( sQ49_spl
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ49_spl
| product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f265,plain,
( sQ49_spl
| ~ product(e_5,e_4,e_1) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( sQ49_spl
| sQ48_spl
| sQ47_spl
| sQ46_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f186,f251,f254,f257,f260,f263]) ).
fof(f267,plain,
( product(e_5,e_3,e_5)
| product(e_4,e_3,e_5)
| product(e_3,e_3,e_5)
| product(e_2,e_3,e_5)
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f84,f46]) ).
fof(f268,plain,
( product(e_5,e_3,e_4)
| product(e_4,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f84,f45]) ).
fof(f269,plain,
( product(e_5,e_3,e_3)
| product(e_4,e_3,e_3)
| product(e_3,e_3,e_3)
| product(e_2,e_3,e_3)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f84,f44]) ).
fof(f270,plain,
( product(e_5,e_3,e_2)
| product(e_4,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_2,e_3,e_2)
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f84,f43]) ).
fof(f271,plain,
( product(e_5,e_3,e_1)
| product(e_4,e_3,e_1)
| product(e_3,e_3,e_1)
| product(e_2,e_3,e_1)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f84,f42]) ).
fof(f272,definition,
( sQ50_spl
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ50_spl
| product(e_1,e_3,e_5) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,definition,
( sQ51_spl
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ51_spl
| product(e_2,e_3,e_5) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ52_spl
<=> product(e_3,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ52_spl
| product(e_3,e_3,e_5) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,definition,
( sQ53_spl
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f282,plain,
( ~ sQ53_spl
| product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f283,plain,
( sQ53_spl
| ~ product(e_4,e_3,e_5) ),
inference(component_clause,[status(thm)],[f281]) ).
fof(f284,definition,
( sQ54_spl
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f285,plain,
( ~ sQ54_spl
| product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f286,plain,
( sQ54_spl
| ~ product(e_5,e_3,e_5) ),
inference(component_clause,[status(thm)],[f284]) ).
fof(f287,plain,
( sQ54_spl
| sQ53_spl
| sQ52_spl
| sQ51_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f267,f272,f275,f278,f281,f284]) ).
fof(f288,definition,
( sQ55_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ55_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f290,plain,
( sQ55_spl
| ~ product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ56_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ56_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f293,plain,
( sQ56_spl
| ~ product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ57_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ57_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f296,plain,
( sQ57_spl
| ~ product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
( sQ58_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ58_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f299,plain,
( sQ58_spl
| ~ product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,definition,
( sQ59_spl
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f301,plain,
( ~ sQ59_spl
| product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f302,plain,
( sQ59_spl
| ~ product(e_5,e_3,e_4) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f268,f288,f291,f294,f297,f300]) ).
fof(f304,definition,
( sQ60_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ60_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,definition,
( sQ61_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f308,plain,
( ~ sQ61_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f309,plain,
( sQ61_spl
| ~ product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f310,definition,
( sQ62_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f313,definition,
( sQ63_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f314,plain,
( ~ sQ63_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f315,plain,
( sQ63_spl
| ~ product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,definition,
( sQ64_spl
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f317,plain,
( ~ sQ64_spl
| product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f318,plain,
( sQ64_spl
| ~ product(e_5,e_3,e_3) ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,plain,
( sQ64_spl
| sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f269,f304,f307,f310,f313,f316]) ).
fof(f320,definition,
( sQ65_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( ~ sQ65_spl
| product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f322,plain,
( sQ65_spl
| ~ product(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,definition,
( sQ66_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( ~ sQ66_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f325,plain,
( sQ66_spl
| ~ product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f326,definition,
( sQ67_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f327,plain,
( ~ sQ67_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f328,plain,
( sQ67_spl
| ~ product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,definition,
( sQ68_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f330,plain,
( ~ sQ68_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f331,plain,
( sQ68_spl
| ~ product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,definition,
( sQ69_spl
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f333,plain,
( ~ sQ69_spl
| product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f334,plain,
( sQ69_spl
| ~ product(e_5,e_3,e_2) ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,plain,
( sQ69_spl
| sQ68_spl
| sQ67_spl
| sQ66_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f270,f320,f323,f326,f329,f332]) ).
fof(f336,definition,
( sQ70_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ70_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,definition,
( sQ71_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f340,plain,
( ~ sQ71_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f341,plain,
( sQ71_spl
| ~ product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,definition,
( sQ72_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f343,plain,
( ~ sQ72_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f344,plain,
( sQ72_spl
| ~ product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,definition,
( sQ73_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f346,plain,
( ~ sQ73_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f347,plain,
( sQ73_spl
| ~ product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,definition,
( sQ74_spl
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f349,plain,
( ~ sQ74_spl
| product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( sQ74_spl
| ~ product(e_5,e_3,e_1) ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( sQ74_spl
| sQ73_spl
| sQ72_spl
| sQ71_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f271,f336,f339,f342,f345,f348]) ).
fof(f352,plain,
( product(e_5,e_2,e_5)
| product(e_4,e_2,e_5)
| product(e_3,e_2,e_5)
| product(e_2,e_2,e_5)
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f85,f46]) ).
fof(f353,plain,
( product(e_5,e_2,e_4)
| product(e_4,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f85,f45]) ).
fof(f354,plain,
( product(e_5,e_2,e_3)
| product(e_4,e_2,e_3)
| product(e_3,e_2,e_3)
| product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f85,f44]) ).
fof(f355,plain,
( product(e_5,e_2,e_2)
| product(e_4,e_2,e_2)
| product(e_3,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f85,f43]) ).
fof(f356,plain,
( product(e_5,e_2,e_1)
| product(e_4,e_2,e_1)
| product(e_3,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f85,f42]) ).
fof(f357,definition,
( sQ75_spl
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ75_spl
| product(e_1,e_2,e_5) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,definition,
( sQ76_spl
<=> product(e_2,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ76_spl
| product(e_2,e_2,e_5) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,definition,
( sQ77_spl
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( ~ sQ77_spl
| product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f365,plain,
( sQ77_spl
| ~ product(e_3,e_2,e_5) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,definition,
( sQ78_spl
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ78_spl
| product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f368,plain,
( sQ78_spl
| ~ product(e_4,e_2,e_5) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
( sQ79_spl
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ79_spl
| product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f371,plain,
( sQ79_spl
| ~ product(e_5,e_2,e_5) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f352,f357,f360,f363,f366,f369]) ).
fof(f373,definition,
( sQ80_spl
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ80_spl
| product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f375,plain,
( sQ80_spl
| ~ product(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,definition,
( sQ81_spl
<=> product(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ81_spl
| product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f378,plain,
( sQ81_spl
| ~ product(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,definition,
( sQ82_spl
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ82_spl
| product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f381,plain,
( sQ82_spl
| ~ product(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ83_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ83_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f384,plain,
( sQ83_spl
| ~ product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ84_spl
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( ~ sQ84_spl
| product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f387,plain,
( sQ84_spl
| ~ product(e_5,e_2,e_4) ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,plain,
( sQ84_spl
| sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f353,f373,f376,f379,f382,f385]) ).
fof(f389,definition,
( sQ85_spl
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( ~ sQ85_spl
| product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f391,plain,
( sQ85_spl
| ~ product(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,definition,
( sQ86_spl
<=> product(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ86_spl
| product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f394,plain,
( sQ86_spl
| ~ product(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ87_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ87_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f397,plain,
( sQ87_spl
| ~ product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ88_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ88_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f400,plain,
( sQ88_spl
| ~ product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ89_spl
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ89_spl
| product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f403,plain,
( sQ89_spl
| ~ product(e_5,e_2,e_3) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( sQ89_spl
| sQ88_spl
| sQ87_spl
| sQ86_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f354,f389,f392,f395,f398,f401]) ).
fof(f405,definition,
( sQ90_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ90_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ91_spl
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f411,definition,
( sQ92_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ92_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f413,plain,
( sQ92_spl
| ~ product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ93_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ93_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f416,plain,
( sQ93_spl
| ~ product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,definition,
( sQ94_spl
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( ~ sQ94_spl
| product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f419,plain,
( sQ94_spl
| ~ product(e_5,e_2,e_2) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( sQ94_spl
| sQ93_spl
| sQ92_spl
| sQ91_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f355,f405,f408,f411,f414,f417]) ).
fof(f421,definition,
( sQ95_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ95_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ96_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ96_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f426,plain,
( sQ96_spl
| ~ product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ97_spl
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ97_spl
| product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f429,plain,
( sQ97_spl
| ~ product(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ98_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( ~ sQ98_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f432,plain,
( sQ98_spl
| ~ product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,definition,
( sQ99_spl
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( ~ sQ99_spl
| product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f435,plain,
( sQ99_spl
| ~ product(e_5,e_2,e_1) ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f356,f421,f424,f427,f430,f433]) ).
fof(f437,plain,
( product(e_5,e_1,e_5)
| product(e_4,e_1,e_5)
| product(e_3,e_1,e_5)
| product(e_2,e_1,e_5)
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f86,f46]) ).
fof(f438,plain,
( product(e_5,e_1,e_4)
| product(e_4,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f86,f45]) ).
fof(f439,plain,
( product(e_5,e_1,e_3)
| product(e_4,e_1,e_3)
| product(e_3,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f86,f44]) ).
fof(f440,plain,
( product(e_5,e_1,e_2)
| product(e_4,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f86,f43]) ).
fof(f441,plain,
( product(e_5,e_1,e_1)
| product(e_4,e_1,e_1)
| product(e_3,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f86,f42]) ).
fof(f442,definition,
( sQ100_spl
<=> product(e_1,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( ~ sQ100_spl
| product(e_1,e_1,e_5) ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,definition,
( sQ101_spl
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( ~ sQ101_spl
| product(e_2,e_1,e_5) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,definition,
( sQ102_spl
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( ~ sQ102_spl
| product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f450,plain,
( sQ102_spl
| ~ product(e_3,e_1,e_5) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,definition,
( sQ103_spl
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ103_spl
| product(e_4,e_1,e_5) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,definition,
( sQ104_spl
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( ~ sQ104_spl
| product(e_5,e_1,e_5) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( sQ104_spl
| sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f437,f442,f445,f448,f451,f454]) ).
fof(f458,definition,
( sQ105_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ105_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ106_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ106_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f463,plain,
( sQ106_spl
| ~ product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,definition,
( sQ107_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ107_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f466,plain,
( sQ107_spl
| ~ product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,definition,
( sQ108_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ108_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f469,plain,
( sQ108_spl
| ~ product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,definition,
( sQ109_spl
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ109_spl
| product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f472,plain,
( sQ109_spl
| ~ product(e_5,e_1,e_4) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( sQ109_spl
| sQ108_spl
| sQ107_spl
| sQ106_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f438,f458,f461,f464,f467,f470]) ).
fof(f474,definition,
( sQ110_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ110_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
( sQ111_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( ~ sQ111_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f479,plain,
( sQ111_spl
| ~ product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,definition,
( sQ112_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( ~ sQ112_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f482,plain,
( sQ112_spl
| ~ product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,definition,
( sQ113_spl
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f484,plain,
( ~ sQ113_spl
| product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f485,plain,
( sQ113_spl
| ~ product(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,definition,
( sQ114_spl
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f487,plain,
( ~ sQ114_spl
| product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f488,plain,
( sQ114_spl
| ~ product(e_5,e_1,e_3) ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( sQ114_spl
| sQ113_spl
| sQ112_spl
| sQ111_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f439,f474,f477,f480,f483,f486]) ).
fof(f490,definition,
( sQ115_spl
<=> product(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ115_spl
| product(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ116_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ116_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f495,plain,
( sQ116_spl
| ~ product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,definition,
( sQ117_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f497,plain,
( ~ sQ117_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f498,plain,
( sQ117_spl
| ~ product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
( sQ118_spl
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ118_spl
| product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ118_spl
| ~ product(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,definition,
( sQ119_spl
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ119_spl
| product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f504,plain,
( sQ119_spl
| ~ product(e_5,e_1,e_2) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f440,f490,f493,f496,f499,f502]) ).
fof(f506,definition,
( sQ120_spl
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f509,definition,
( sQ121_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f510,plain,
( ~ sQ121_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( sQ121_spl
| ~ product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,definition,
( sQ122_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( ~ sQ122_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f514,plain,
( sQ122_spl
| ~ product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ123_spl
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f516,plain,
( ~ sQ123_spl
| product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( sQ123_spl
| ~ product(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ124_spl
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ124_spl
| product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( sQ124_spl
| ~ product(e_5,e_1,e_1) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,plain,
( sQ124_spl
| sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f441,f506,f509,f512,f515,f518]) ).
fof(f522,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_4,e_5)
| product(e_5,e_3,e_5)
| product(e_5,e_2,e_5)
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f87,f46]) ).
fof(f523,plain,
( product(e_5,e_5,e_4)
| product(e_5,e_4,e_4)
| product(e_5,e_3,e_4)
| product(e_5,e_2,e_4)
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f87,f45]) ).
fof(f524,plain,
( product(e_5,e_5,e_3)
| product(e_5,e_4,e_3)
| product(e_5,e_3,e_3)
| product(e_5,e_2,e_3)
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f87,f44]) ).
fof(f525,plain,
( product(e_5,e_5,e_2)
| product(e_5,e_4,e_2)
| product(e_5,e_3,e_2)
| product(e_5,e_2,e_2)
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f87,f43]) ).
fof(f526,plain,
( product(e_5,e_5,e_1)
| product(e_5,e_4,e_1)
| product(e_5,e_3,e_1)
| product(e_5,e_2,e_1)
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f87,f42]) ).
fof(f527,plain,
( sQ4_spl
| sQ29_spl
| sQ54_spl
| sQ79_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f522,f454,f369,f284,f199,f114]) ).
fof(f528,plain,
( sQ9_spl
| sQ34_spl
| sQ59_spl
| sQ84_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f523,f470,f385,f300,f215,f130]) ).
fof(f529,plain,
( sQ14_spl
| sQ39_spl
| sQ64_spl
| sQ89_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f524,f486,f401,f316,f231,f146]) ).
fof(f530,plain,
( sQ19_spl
| sQ44_spl
| sQ69_spl
| sQ94_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f525,f502,f417,f332,f247,f162]) ).
fof(f531,plain,
( sQ24_spl
| sQ49_spl
| sQ74_spl
| sQ99_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f526,f518,f433,f348,f263,f178]) ).
fof(f532,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_4,e_5)
| product(e_4,e_3,e_5)
| product(e_4,e_2,e_5)
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f88,f46]) ).
fof(f533,plain,
( product(e_4,e_5,e_4)
| product(e_4,e_4,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f88,f45]) ).
fof(f534,plain,
( product(e_4,e_5,e_3)
| product(e_4,e_4,e_3)
| product(e_4,e_3,e_3)
| product(e_4,e_2,e_3)
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f88,f44]) ).
fof(f535,plain,
( product(e_4,e_5,e_2)
| product(e_4,e_4,e_2)
| product(e_4,e_3,e_2)
| product(e_4,e_2,e_2)
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f88,f43]) ).
fof(f536,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_4,e_1)
| product(e_4,e_3,e_1)
| product(e_4,e_2,e_1)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f88,f42]) ).
fof(f537,plain,
( sQ3_spl
| sQ28_spl
| sQ53_spl
| sQ78_spl
| sQ103_spl ),
inference(split_clause,[status(thm)],[f532,f451,f366,f281,f196,f111]) ).
fof(f538,plain,
( sQ8_spl
| sQ33_spl
| sQ58_spl
| sQ83_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f533,f467,f382,f297,f212,f127]) ).
fof(f539,plain,
( sQ13_spl
| sQ38_spl
| sQ63_spl
| sQ88_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f534,f483,f398,f313,f228,f143]) ).
fof(f540,plain,
( sQ18_spl
| sQ43_spl
| sQ68_spl
| sQ93_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f535,f499,f414,f329,f244,f159]) ).
fof(f541,plain,
( sQ23_spl
| sQ48_spl
| sQ73_spl
| sQ98_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f536,f515,f430,f345,f260,f175]) ).
fof(f542,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_4,e_5)
| product(e_3,e_3,e_5)
| product(e_3,e_2,e_5)
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f89,f46]) ).
fof(f543,plain,
( product(e_3,e_5,e_4)
| product(e_3,e_4,e_4)
| product(e_3,e_3,e_4)
| product(e_3,e_2,e_4)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f89,f45]) ).
fof(f544,plain,
( product(e_3,e_5,e_3)
| product(e_3,e_4,e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_2,e_3)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f89,f44]) ).
fof(f545,plain,
( product(e_3,e_5,e_2)
| product(e_3,e_4,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f89,f43]) ).
fof(f546,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_4,e_1)
| product(e_3,e_3,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f89,f42]) ).
fof(f547,plain,
( sQ2_spl
| sQ27_spl
| sQ52_spl
| sQ77_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f542,f448,f363,f278,f193,f108]) ).
fof(f548,plain,
( sQ7_spl
| sQ32_spl
| sQ57_spl
| sQ82_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f543,f464,f379,f294,f209,f124]) ).
fof(f549,plain,
( sQ12_spl
| sQ37_spl
| sQ62_spl
| sQ87_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f544,f480,f395,f310,f225,f140]) ).
fof(f550,plain,
( sQ17_spl
| sQ42_spl
| sQ67_spl
| sQ92_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f545,f496,f411,f326,f241,f156]) ).
fof(f551,plain,
( sQ22_spl
| sQ47_spl
| sQ72_spl
| sQ97_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f546,f512,f427,f342,f257,f172]) ).
fof(f552,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_4,e_5)
| product(e_2,e_3,e_5)
| product(e_2,e_2,e_5)
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f90,f46]) ).
fof(f553,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_4,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f90,f45]) ).
fof(f554,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_4,e_3)
| product(e_2,e_3,e_3)
| product(e_2,e_2,e_3)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f90,f44]) ).
fof(f555,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_4,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f90,f43]) ).
fof(f556,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_4,e_1)
| product(e_2,e_3,e_1)
| product(e_2,e_2,e_1)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f90,f42]) ).
fof(f557,plain,
( sQ1_spl
| sQ26_spl
| sQ51_spl
| sQ76_spl
| sQ101_spl ),
inference(split_clause,[status(thm)],[f552,f445,f360,f275,f190,f105]) ).
fof(f558,plain,
( sQ6_spl
| sQ31_spl
| sQ56_spl
| sQ81_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f553,f461,f376,f291,f206,f121]) ).
fof(f559,plain,
( sQ11_spl
| sQ36_spl
| sQ61_spl
| sQ86_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f554,f477,f392,f307,f222,f137]) ).
fof(f560,plain,
( sQ16_spl
| sQ41_spl
| sQ66_spl
| sQ91_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f555,f493,f408,f323,f238,f153]) ).
fof(f561,plain,
( sQ21_spl
| sQ46_spl
| sQ71_spl
| sQ96_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f556,f509,f424,f339,f254,f169]) ).
fof(f562,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_4,e_5)
| product(e_1,e_3,e_5)
| product(e_1,e_2,e_5)
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f91,f46]) ).
fof(f563,plain,
( product(e_1,e_5,e_4)
| product(e_1,e_4,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f91,f45]) ).
fof(f564,plain,
( product(e_1,e_5,e_3)
| product(e_1,e_4,e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f91,f44]) ).
fof(f565,plain,
( product(e_1,e_5,e_2)
| product(e_1,e_4,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f91,f43]) ).
fof(f566,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_4,e_1)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f91,f42]) ).
fof(f567,plain,
( sQ0_spl
| sQ25_spl
| sQ50_spl
| sQ75_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f562,f442,f357,f272,f187,f102]) ).
fof(f568,plain,
( sQ5_spl
| sQ30_spl
| sQ55_spl
| sQ80_spl
| sQ105_spl ),
inference(split_clause,[status(thm)],[f563,f458,f373,f288,f203,f118]) ).
fof(f569,plain,
( sQ10_spl
| sQ35_spl
| sQ60_spl
| sQ85_spl
| sQ110_spl ),
inference(split_clause,[status(thm)],[f564,f474,f389,f304,f219,f134]) ).
fof(f570,plain,
( sQ15_spl
| sQ40_spl
| sQ65_spl
| sQ90_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f565,f490,f405,f320,f235,f150]) ).
fof(f571,plain,
( sQ20_spl
| sQ45_spl
| sQ70_spl
| sQ95_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f566,f506,f421,f336,f251,f166]) ).
fof(f572,plain,
( product(e_5,e_5,e_5)
| product(e_5,e_5,e_4)
| product(e_5,e_5,e_3)
| product(e_5,e_5,e_2)
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f92,f46]) ).
fof(f573,plain,
( product(e_5,e_4,e_5)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f92,f45]) ).
fof(f574,plain,
( product(e_5,e_3,e_5)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f92,f44]) ).
fof(f575,plain,
( product(e_5,e_2,e_5)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f92,f43]) ).
fof(f576,plain,
( product(e_5,e_1,e_5)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f92,f42]) ).
fof(f577,plain,
( sQ4_spl
| sQ9_spl
| sQ14_spl
| sQ19_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f572,f178,f162,f146,f130,f114]) ).
fof(f578,plain,
( sQ29_spl
| sQ34_spl
| sQ39_spl
| sQ44_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f573,f263,f247,f231,f215,f199]) ).
fof(f579,plain,
( sQ54_spl
| sQ59_spl
| sQ64_spl
| sQ69_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f574,f348,f332,f316,f300,f284]) ).
fof(f580,plain,
( sQ79_spl
| sQ84_spl
| sQ89_spl
| sQ94_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f575,f433,f417,f401,f385,f369]) ).
fof(f581,plain,
( sQ104_spl
| sQ109_spl
| sQ114_spl
| sQ119_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f576,f518,f502,f486,f470,f454]) ).
fof(f582,plain,
( product(e_4,e_5,e_5)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f93,f46]) ).
fof(f583,plain,
( product(e_4,e_4,e_5)
| product(e_4,e_4,e_4)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f93,f45]) ).
fof(f584,plain,
( product(e_4,e_3,e_5)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f93,f44]) ).
fof(f585,plain,
( product(e_4,e_2,e_5)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f93,f43]) ).
fof(f586,plain,
( product(e_4,e_1,e_5)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f93,f42]) ).
fof(f587,plain,
( sQ3_spl
| sQ8_spl
| sQ13_spl
| sQ18_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f582,f175,f159,f143,f127,f111]) ).
fof(f588,plain,
( sQ28_spl
| sQ33_spl
| sQ38_spl
| sQ43_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f583,f260,f244,f228,f212,f196]) ).
fof(f589,plain,
( sQ53_spl
| sQ58_spl
| sQ63_spl
| sQ68_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f584,f345,f329,f313,f297,f281]) ).
fof(f590,plain,
( sQ78_spl
| sQ83_spl
| sQ88_spl
| sQ93_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f585,f430,f414,f398,f382,f366]) ).
fof(f591,plain,
( sQ103_spl
| sQ108_spl
| sQ113_spl
| sQ118_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f586,f515,f499,f483,f467,f451]) ).
fof(f592,plain,
( product(e_3,e_5,e_5)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f94,f46]) ).
fof(f593,plain,
( product(e_3,e_4,e_5)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f94,f45]) ).
fof(f594,plain,
( product(e_3,e_3,e_5)
| product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f94,f44]) ).
fof(f595,plain,
( product(e_3,e_2,e_5)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f94,f43]) ).
fof(f596,plain,
( product(e_3,e_1,e_5)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f94,f42]) ).
fof(f597,plain,
( sQ2_spl
| sQ7_spl
| sQ12_spl
| sQ17_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f592,f172,f156,f140,f124,f108]) ).
fof(f598,plain,
( sQ27_spl
| sQ32_spl
| sQ37_spl
| sQ42_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f593,f257,f241,f225,f209,f193]) ).
fof(f599,plain,
( sQ52_spl
| sQ57_spl
| sQ62_spl
| sQ67_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f594,f342,f326,f310,f294,f278]) ).
fof(f600,plain,
( sQ77_spl
| sQ82_spl
| sQ87_spl
| sQ92_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f595,f427,f411,f395,f379,f363]) ).
fof(f601,plain,
( sQ102_spl
| sQ107_spl
| sQ112_spl
| sQ117_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f596,f512,f496,f480,f464,f448]) ).
fof(f602,plain,
( product(e_2,e_5,e_5)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f95,f46]) ).
fof(f603,plain,
( product(e_2,e_4,e_5)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f95,f45]) ).
fof(f604,plain,
( product(e_2,e_3,e_5)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f95,f44]) ).
fof(f605,plain,
( product(e_2,e_2,e_5)
| product(e_2,e_2,e_4)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f95,f43]) ).
fof(f606,plain,
( product(e_2,e_1,e_5)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f95,f42]) ).
fof(f607,plain,
( sQ1_spl
| sQ6_spl
| sQ11_spl
| sQ16_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f602,f169,f153,f137,f121,f105]) ).
fof(f608,plain,
( sQ26_spl
| sQ31_spl
| sQ36_spl
| sQ41_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f603,f254,f238,f222,f206,f190]) ).
fof(f609,plain,
( sQ51_spl
| sQ56_spl
| sQ61_spl
| sQ66_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f604,f339,f323,f307,f291,f275]) ).
fof(f610,plain,
( sQ76_spl
| sQ81_spl
| sQ86_spl
| sQ91_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f605,f424,f408,f392,f376,f360]) ).
fof(f611,plain,
( sQ101_spl
| sQ106_spl
| sQ111_spl
| sQ116_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f606,f509,f493,f477,f461,f445]) ).
fof(f612,plain,
( product(e_1,e_5,e_5)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f96,f46]) ).
fof(f613,plain,
( product(e_1,e_4,e_5)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f96,f45]) ).
fof(f614,plain,
( product(e_1,e_3,e_5)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f96,f44]) ).
fof(f615,plain,
( product(e_1,e_2,e_5)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f96,f43]) ).
fof(f616,plain,
( product(e_1,e_1,e_5)
| product(e_1,e_1,e_4)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f96,f42]) ).
fof(f617,plain,
( sQ0_spl
| sQ5_spl
| sQ10_spl
| sQ15_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f612,f166,f150,f134,f118,f102]) ).
fof(f618,plain,
( sQ25_spl
| sQ30_spl
| sQ35_spl
| sQ40_spl
| sQ45_spl ),
inference(split_clause,[status(thm)],[f613,f251,f235,f219,f203,f187]) ).
fof(f619,plain,
( sQ50_spl
| sQ55_spl
| sQ60_spl
| sQ65_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f614,f336,f320,f304,f288,f272]) ).
fof(f620,plain,
( sQ75_spl
| sQ80_spl
| sQ85_spl
| sQ90_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f615,f421,f405,f389,f373,f357]) ).
fof(f621,plain,
( sQ100_spl
| sQ105_spl
| sQ110_spl
| sQ115_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f616,f506,f490,f474,f458,f442]) ).
fof(f623,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X0,X1) ),
inference(resolution,[status(thm)],[f69,f74]) ).
fof(f624,plain,
! [X0] : equalish(X0,X0),
inference(resolution,[status(thm)],[f623,f74]) ).
fof(f625,plain,
! [X0,X1] :
( equalish(X1,X0)
| ~ product(X0,X1,X0) ),
inference(resolution,[status(thm)],[f71,f74]) ).
fof(f627,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f73,f74]) ).
fof(f629,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f264,f73]) ).
fof(f630,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f264,f71]) ).
fof(f631,plain,
! [X0] :
( ~ sQ49_spl
| equalish(X0,e_1)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f264,f69]) ).
fof(f632,plain,
! [X0] :
( ~ sQ49_spl
| product(e_1,e_4,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f264,f76]) ).
fof(f633,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(e_4,e_1,X0)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f264,f41]) ).
fof(f634,plain,
! [X0] :
( ~ sQ49_spl
| ~ product(X0,e_4,e_5)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f264,f39]) ).
fof(f635,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f248,f73]) ).
fof(f636,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f248,f71]) ).
fof(f637,plain,
! [X0] :
( ~ sQ44_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f248,f69]) ).
fof(f638,plain,
! [X0] :
( ~ sQ44_spl
| product(e_2,e_4,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f248,f76]) ).
fof(f639,plain,
! [X0] :
( ~ sQ44_spl
| ~ product(e_4,e_2,X0)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f248,f41]) ).
fof(f640,plain,
! [X0] :
( ~ sQ44_spl
| ~ product(X0,e_4,e_5)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f248,f39]) ).
fof(f641,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f232,f73]) ).
fof(f642,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f232,f71]) ).
fof(f643,plain,
! [X0] :
( ~ sQ39_spl
| equalish(X0,e_3)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f232,f69]) ).
fof(f644,plain,
! [X0] :
( ~ sQ39_spl
| product(e_3,e_4,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f232,f76]) ).
fof(f645,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(e_4,e_3,X0)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f232,f41]) ).
fof(f646,plain,
! [X0] :
( ~ sQ39_spl
| ~ product(X0,e_4,e_5)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f232,f39]) ).
fof(f647,plain,
( ~ sQ34_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f216,f627]) ).
fof(f648,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f216,f73]) ).
fof(f649,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f216,f71]) ).
fof(f650,plain,
! [X0] :
( ~ sQ34_spl
| equalish(X0,e_4)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f216,f69]) ).
fof(f651,plain,
( ~ sQ34_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f216,f78]) ).
fof(f652,plain,
! [X0] :
( ~ sQ34_spl
| product(e_4,e_4,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f216,f76]) ).
fof(f653,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(e_4,e_4,X0)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f216,f41]) ).
fof(f654,plain,
! [X0] :
( ~ sQ34_spl
| ~ product(X0,e_4,e_5)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f216,f39]) ).
fof(f655,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f647,f66]) ).
fof(f656,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f655]) ).
fof(f657,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f349,f73]) ).
fof(f658,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f349,f71]) ).
fof(f659,plain,
! [X0] :
( ~ sQ74_spl
| equalish(X0,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f349,f69]) ).
fof(f660,plain,
! [X0] :
( ~ sQ74_spl
| product(e_1,e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f349,f76]) ).
fof(f661,plain,
! [X0] :
( ~ sQ74_spl
| ~ product(e_3,e_1,X0)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f349,f41]) ).
fof(f662,plain,
! [X0] :
( ~ sQ74_spl
| ~ product(X0,e_3,e_5)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f349,f39]) ).
fof(f663,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f333,f73]) ).
fof(f664,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f333,f71]) ).
fof(f665,plain,
! [X0] :
( ~ sQ69_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f333,f69]) ).
fof(f666,plain,
! [X0] :
( ~ sQ69_spl
| product(e_2,e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f333,f76]) ).
fof(f667,plain,
! [X0] :
( ~ sQ69_spl
| ~ product(e_3,e_2,X0)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f333,f41]) ).
fof(f668,plain,
! [X0] :
( ~ sQ69_spl
| ~ product(X0,e_3,e_5)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f333,f39]) ).
fof(f669,plain,
( ~ sQ64_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f317,f627]) ).
fof(f670,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f317,f73]) ).
fof(f671,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f317,f71]) ).
fof(f672,plain,
! [X0] :
( ~ sQ64_spl
| equalish(X0,e_3)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f317,f69]) ).
fof(f673,plain,
( ~ sQ64_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f317,f78]) ).
fof(f674,plain,
! [X0] :
( ~ sQ64_spl
| product(e_3,e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f317,f76]) ).
fof(f675,plain,
! [X0] :
( ~ sQ64_spl
| ~ product(e_3,e_3,X0)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f317,f41]) ).
fof(f676,plain,
! [X0] :
( ~ sQ64_spl
| ~ product(X0,e_3,e_5)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f317,f39]) ).
fof(f677,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f669,f65]) ).
fof(f678,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f677]) ).
fof(f679,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f301,f73]) ).
fof(f680,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f301,f71]) ).
fof(f681,plain,
! [X0] :
( ~ sQ59_spl
| equalish(X0,e_4)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f301,f69]) ).
fof(f682,plain,
! [X0] :
( ~ sQ59_spl
| product(e_4,e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f301,f76]) ).
fof(f683,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(e_3,e_4,X0)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f301,f41]) ).
fof(f684,plain,
! [X0] :
( ~ sQ59_spl
| ~ product(X0,e_3,e_5)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f301,f39]) ).
fof(f685,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f434,f73]) ).
fof(f686,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f434,f71]) ).
fof(f687,plain,
! [X0] :
( ~ sQ99_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f434,f69]) ).
fof(f688,plain,
! [X0] :
( ~ sQ99_spl
| product(e_1,e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f434,f76]) ).
fof(f689,plain,
! [X0] :
( ~ sQ99_spl
| ~ product(e_2,e_1,X0)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f434,f41]) ).
fof(f690,plain,
! [X0] :
( ~ sQ99_spl
| ~ product(X0,e_2,e_5)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f434,f39]) ).
fof(f691,plain,
( ~ sQ94_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f418,f627]) ).
fof(f692,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f418,f73]) ).
fof(f693,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f418,f71]) ).
fof(f694,plain,
! [X0] :
( ~ sQ94_spl
| equalish(X0,e_2)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f418,f69]) ).
fof(f695,plain,
( ~ sQ94_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f418,f78]) ).
fof(f696,plain,
! [X0] :
( ~ sQ94_spl
| product(e_2,e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f418,f76]) ).
fof(f697,plain,
! [X0] :
( ~ sQ94_spl
| ~ product(e_2,e_2,X0)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f418,f41]) ).
fof(f698,plain,
! [X0] :
( ~ sQ94_spl
| ~ product(X0,e_2,e_5)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f418,f39]) ).
fof(f699,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f691,f64]) ).
fof(f700,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f699]) ).
fof(f701,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f402,f73]) ).
fof(f702,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f402,f71]) ).
fof(f703,plain,
! [X0] :
( ~ sQ89_spl
| equalish(X0,e_3)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f402,f69]) ).
fof(f704,plain,
! [X0] :
( ~ sQ89_spl
| product(e_3,e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f402,f76]) ).
fof(f705,plain,
! [X0] :
( ~ sQ89_spl
| ~ product(e_2,e_3,X0)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f402,f41]) ).
fof(f706,plain,
! [X0] :
( ~ sQ89_spl
| ~ product(X0,e_2,e_5)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f402,f39]) ).
fof(f707,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f386,f73]) ).
fof(f708,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f386,f71]) ).
fof(f709,plain,
! [X0] :
( ~ sQ84_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f386,f69]) ).
fof(f710,plain,
! [X0] :
( ~ sQ84_spl
| product(e_4,e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f386,f76]) ).
fof(f711,plain,
! [X0] :
( ~ sQ84_spl
| ~ product(e_2,e_4,X0)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f386,f41]) ).
fof(f712,plain,
! [X0] :
( ~ sQ84_spl
| ~ product(X0,e_2,e_5)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f386,f39]) ).
fof(f713,plain,
( ~ sQ124_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f519,f627]) ).
fof(f714,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f519,f73]) ).
fof(f715,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f519,f71]) ).
fof(f716,plain,
! [X0] :
( ~ sQ124_spl
| equalish(X0,e_1)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f519,f69]) ).
fof(f717,plain,
( ~ sQ124_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f519,f78]) ).
fof(f718,plain,
! [X0] :
( ~ sQ124_spl
| product(e_1,e_1,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f519,f76]) ).
fof(f719,plain,
! [X0] :
( ~ sQ124_spl
| ~ product(e_1,e_1,X0)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f519,f41]) ).
fof(f720,plain,
! [X0] :
( ~ sQ124_spl
| ~ product(X0,e_1,e_5)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f519,f39]) ).
fof(f721,plain,
( ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f713,f63]) ).
fof(f722,plain,
~ sQ124_spl,
inference(contradiction_clause,[status(thm)],[f721]) ).
fof(f723,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f503,f73]) ).
fof(f724,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f503,f71]) ).
fof(f725,plain,
! [X0] :
( ~ sQ119_spl
| equalish(X0,e_2)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f503,f69]) ).
fof(f726,plain,
! [X0] :
( ~ sQ119_spl
| product(e_2,e_1,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f503,f76]) ).
fof(f727,plain,
! [X0] :
( ~ sQ119_spl
| ~ product(e_1,e_2,X0)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f503,f41]) ).
fof(f728,plain,
! [X0] :
( ~ sQ119_spl
| ~ product(X0,e_1,e_5)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f503,f39]) ).
fof(f729,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f487,f73]) ).
fof(f730,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f487,f71]) ).
fof(f731,plain,
! [X0] :
( ~ sQ114_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f487,f69]) ).
fof(f732,plain,
! [X0] :
( ~ sQ114_spl
| product(e_3,e_1,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f487,f76]) ).
fof(f733,plain,
! [X0] :
( ~ sQ114_spl
| ~ product(e_1,e_3,X0)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f487,f41]) ).
fof(f734,plain,
! [X0] :
( ~ sQ114_spl
| ~ product(X0,e_1,e_5)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f487,f39]) ).
fof(f735,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f471,f73]) ).
fof(f736,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f471,f71]) ).
fof(f737,plain,
! [X0] :
( ~ sQ109_spl
| equalish(X0,e_4)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f471,f69]) ).
fof(f738,plain,
! [X0] :
( ~ sQ109_spl
| product(e_4,e_1,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f471,f76]) ).
fof(f739,plain,
! [X0] :
( ~ sQ109_spl
| ~ product(e_1,e_4,X0)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f471,f41]) ).
fof(f740,plain,
! [X0] :
( ~ sQ109_spl
| ~ product(X0,e_1,e_5)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f471,f39]) ).
fof(f741,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f176,f73]) ).
fof(f742,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f176,f71]) ).
fof(f743,plain,
! [X0] :
( ~ sQ23_spl
| equalish(X0,e_1)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f176,f69]) ).
fof(f744,plain,
! [X0] :
( ~ sQ23_spl
| product(e_1,e_5,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f176,f76]) ).
fof(f745,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(e_5,e_1,X0)
| product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f176,f41]) ).
fof(f746,plain,
! [X0] :
( ~ sQ23_spl
| ~ product(X0,e_5,e_4)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f176,f39]) ).
fof(f747,plain,
( ~ sQ109_spl
| ~ sQ23_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f744,f471]) ).
fof(f748,plain,
( ~ sQ84_spl
| ~ sQ23_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f744,f386]) ).
fof(f749,plain,
( ~ sQ59_spl
| ~ sQ23_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f744,f301]) ).
fof(f750,plain,
( ~ sQ109_spl
| ~ sQ23_spl
| product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f745,f471]) ).
fof(f751,plain,
( ~ sQ114_spl
| ~ sQ23_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f745,f487]) ).
fof(f753,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f261,f73]) ).
fof(f754,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f261,f71]) ).
fof(f755,plain,
( ~ sQ48_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f261,f623]) ).
fof(f756,plain,
! [X0] :
( ~ sQ48_spl
| equalish(X0,e_1)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f261,f69]) ).
fof(f757,plain,
! [X0] :
( ~ sQ48_spl
| product(e_1,e_4,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f261,f76]) ).
fof(f758,plain,
( ~ sQ48_spl
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f261,f77]) ).
fof(f759,plain,
! [X0] :
( ~ sQ48_spl
| ~ product(e_4,e_1,X0)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f261,f41]) ).
fof(f760,plain,
! [X0] :
( ~ sQ48_spl
| ~ product(X0,e_4,e_4)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f261,f39]) ).
fof(f761,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f755,f49]) ).
fof(f762,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f761]) ).
fof(f763,plain,
( ~ sQ39_spl
| ~ sQ73_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f346,f645]) ).
fof(f764,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f346,f73]) ).
fof(f765,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f346,f71]) ).
fof(f766,plain,
! [X0] :
( ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f346,f69]) ).
fof(f767,plain,
! [X0] :
( ~ sQ73_spl
| product(e_1,e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f346,f76]) ).
fof(f768,plain,
! [X0] :
( ~ sQ73_spl
| ~ product(e_3,e_1,X0)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f346,f41]) ).
fof(f769,plain,
! [X0] :
( ~ sQ73_spl
| ~ product(X0,e_3,e_4)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f346,f39]) ).
fof(f770,plain,
( ~ sQ59_spl
| ~ sQ73_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f769,f301]) ).
fof(f771,plain,
( ~ sQ44_spl
| ~ sQ98_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f431,f639]) ).
fof(f772,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f431,f73]) ).
fof(f773,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f431,f71]) ).
fof(f774,plain,
! [X0] :
( ~ sQ98_spl
| equalish(X0,e_1)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f431,f69]) ).
fof(f775,plain,
! [X0] :
( ~ sQ98_spl
| product(e_1,e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f431,f76]) ).
fof(f776,plain,
! [X0] :
( ~ sQ98_spl
| ~ product(e_2,e_1,X0)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f431,f41]) ).
fof(f777,plain,
! [X0] :
( ~ sQ98_spl
| ~ product(X0,e_2,e_4)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f431,f39]) ).
fof(f778,plain,
( ~ sQ84_spl
| ~ sQ98_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f777,f386]) ).
fof(f779,plain,
( ~ sQ49_spl
| ~ sQ123_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f516,f633]) ).
fof(f780,plain,
( ~ sQ123_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f516,f627]) ).
fof(f781,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f516,f73]) ).
fof(f782,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f516,f71]) ).
fof(f783,plain,
! [X0] :
( ~ sQ123_spl
| equalish(X0,e_1)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f516,f69]) ).
fof(f784,plain,
( ~ sQ123_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f516,f78]) ).
fof(f785,plain,
! [X0] :
( ~ sQ123_spl
| product(e_1,e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f516,f76]) ).
fof(f786,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(e_1,e_1,X0)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f516,f41]) ).
fof(f787,plain,
! [X0] :
( ~ sQ123_spl
| ~ product(X0,e_1,e_4)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f516,f39]) ).
fof(f788,plain,
( ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f780,f59]) ).
fof(f789,plain,
~ sQ123_spl,
inference(contradiction_clause,[status(thm)],[f788]) ).
fof(f790,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f160,f73]) ).
fof(f791,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f160,f71]) ).
fof(f792,plain,
! [X0] :
( ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f160,f69]) ).
fof(f793,plain,
! [X0] :
( ~ sQ18_spl
| product(e_2,e_5,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f160,f76]) ).
fof(f794,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(e_5,e_2,X0)
| product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f160,f41]) ).
fof(f795,plain,
! [X0] :
( ~ sQ18_spl
| ~ product(X0,e_5,e_4)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f160,f39]) ).
fof(f796,plain,
( ~ sQ109_spl
| ~ sQ18_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f793,f471]) ).
fof(f797,plain,
( ~ sQ84_spl
| ~ sQ18_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f793,f386]) ).
fof(f798,plain,
( ~ sQ59_spl
| ~ sQ18_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f793,f301]) ).
fof(f799,plain,
( ~ sQ84_spl
| ~ sQ18_spl
| product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f794,f386]) ).
fof(f800,plain,
( ~ sQ89_spl
| ~ sQ18_spl
| product(e_3,e_5,e_4) ),
inference(resolution,[status(thm)],[f794,f402]) ).
fof(f801,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f794,f434]) ).
fof(f802,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f245,f73]) ).
fof(f803,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f245,f71]) ).
fof(f804,plain,
( ~ sQ43_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f245,f623]) ).
fof(f805,plain,
! [X0] :
( ~ sQ43_spl
| equalish(X0,e_2)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f245,f69]) ).
fof(f806,plain,
! [X0] :
( ~ sQ43_spl
| product(e_2,e_4,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f245,f76]) ).
fof(f807,plain,
( ~ sQ43_spl
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f245,f77]) ).
fof(f808,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(e_4,e_2,X0)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f245,f41]) ).
fof(f809,plain,
! [X0] :
( ~ sQ43_spl
| ~ product(X0,e_4,e_4)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f245,f39]) ).
fof(f810,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f804,f53]) ).
fof(f811,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f810]) ).
fof(f812,plain,
( ~ sQ39_spl
| ~ sQ68_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f330,f645]) ).
fof(f813,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f330,f73]) ).
fof(f814,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f330,f71]) ).
fof(f815,plain,
! [X0] :
( ~ sQ68_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f330,f69]) ).
fof(f816,plain,
! [X0] :
( ~ sQ68_spl
| product(e_2,e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f330,f76]) ).
fof(f817,plain,
! [X0] :
( ~ sQ68_spl
| ~ product(e_3,e_2,X0)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f330,f41]) ).
fof(f818,plain,
! [X0] :
( ~ sQ68_spl
| ~ product(X0,e_3,e_4)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f330,f39]) ).
fof(f819,plain,
( ~ sQ44_spl
| ~ sQ93_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f415,f639]) ).
fof(f820,plain,
( ~ sQ93_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f415,f627]) ).
fof(f821,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f415,f73]) ).
fof(f822,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f415,f71]) ).
fof(f823,plain,
! [X0] :
( ~ sQ93_spl
| equalish(X0,e_2)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f415,f69]) ).
fof(f824,plain,
( ~ sQ93_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f415,f78]) ).
fof(f825,plain,
! [X0] :
( ~ sQ93_spl
| product(e_2,e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f415,f76]) ).
fof(f826,plain,
! [X0] :
( ~ sQ93_spl
| ~ product(e_2,e_2,X0)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f415,f41]) ).
fof(f827,plain,
! [X0] :
( ~ sQ93_spl
| ~ product(X0,e_2,e_4)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f415,f39]) ).
fof(f828,plain,
( ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f820,f60]) ).
fof(f829,plain,
~ sQ93_spl,
inference(contradiction_clause,[status(thm)],[f828]) ).
fof(f830,plain,
( ~ sQ49_spl
| ~ sQ118_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f500,f633]) ).
fof(f831,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f500,f73]) ).
fof(f832,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f500,f71]) ).
fof(f833,plain,
! [X0] :
( ~ sQ118_spl
| equalish(X0,e_2)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f500,f69]) ).
fof(f834,plain,
! [X0] :
( ~ sQ118_spl
| product(e_2,e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f500,f76]) ).
fof(f835,plain,
! [X0] :
( ~ sQ118_spl
| ~ product(e_1,e_2,X0)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f500,f41]) ).
fof(f836,plain,
! [X0] :
( ~ sQ118_spl
| ~ product(X0,e_1,e_4)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f500,f39]) ).
fof(f837,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f144,f73]) ).
fof(f838,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f144,f71]) ).
fof(f839,plain,
! [X0] :
( ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f144,f69]) ).
fof(f840,plain,
! [X0] :
( ~ sQ13_spl
| product(e_3,e_5,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f144,f76]) ).
fof(f841,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(e_5,e_3,X0)
| product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f144,f41]) ).
fof(f842,plain,
! [X0] :
( ~ sQ13_spl
| ~ product(X0,e_5,e_4)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f144,f39]) ).
fof(f843,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f229,f73]) ).
fof(f844,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_4)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f229,f71]) ).
fof(f845,plain,
( ~ sQ38_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f229,f623]) ).
fof(f846,plain,
! [X0] :
( ~ sQ38_spl
| equalish(X0,e_3)
| ~ product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f229,f69]) ).
fof(f847,plain,
! [X0] :
( ~ sQ38_spl
| product(e_3,e_4,X0)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f229,f76]) ).
fof(f848,plain,
( ~ sQ38_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f229,f77]) ).
fof(f849,plain,
! [X0] :
( ~ sQ38_spl
| ~ product(e_4,e_3,X0)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f229,f41]) ).
fof(f850,plain,
! [X0] :
( ~ sQ38_spl
| ~ product(X0,e_4,e_4)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f229,f39]) ).
fof(f851,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f845,f57]) ).
fof(f852,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f851]) ).
fof(f853,plain,
( ~ sQ59_spl
| ~ sQ68_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f818,f301]) ).
fof(f854,plain,
( ~ sQ109_spl
| ~ sQ118_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f836,f471]) ).
fof(f855,plain,
( ~ sQ109_spl
| ~ sQ13_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f840,f471]) ).
fof(f856,plain,
( ~ sQ84_spl
| ~ sQ13_spl
| product(e_3,e_5,e_2) ),
inference(resolution,[status(thm)],[f840,f386]) ).
fof(f857,plain,
( ~ sQ59_spl
| ~ sQ13_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f840,f301]) ).
fof(f858,plain,
( ~ sQ59_spl
| ~ sQ13_spl
| product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f841,f301]) ).
fof(f859,plain,
( ~ sQ69_spl
| ~ sQ13_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f841,f333]) ).
fof(f860,plain,
( ~ sQ74_spl
| ~ sQ13_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f841,f349]) ).
fof(f861,plain,
( ~ sQ39_spl
| ~ sQ63_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f314,f645]) ).
fof(f862,plain,
( ~ sQ63_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f314,f627]) ).
fof(f863,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f314,f73]) ).
fof(f864,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f314,f71]) ).
fof(f865,plain,
! [X0] :
( ~ sQ63_spl
| equalish(X0,e_3)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f314,f69]) ).
fof(f866,plain,
( ~ sQ63_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f314,f78]) ).
fof(f867,plain,
! [X0] :
( ~ sQ63_spl
| product(e_3,e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f314,f76]) ).
fof(f868,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(e_3,e_3,X0)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f314,f41]) ).
fof(f869,plain,
! [X0] :
( ~ sQ63_spl
| ~ product(X0,e_3,e_4)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f314,f39]) ).
fof(f870,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f862,f61]) ).
fof(f871,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f870]) ).
fof(f872,plain,
( ~ sQ44_spl
| ~ sQ88_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f399,f639]) ).
fof(f873,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f399,f73]) ).
fof(f874,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f399,f71]) ).
fof(f875,plain,
! [X0] :
( ~ sQ88_spl
| equalish(X0,e_3)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f399,f69]) ).
fof(f876,plain,
! [X0] :
( ~ sQ88_spl
| product(e_3,e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f399,f76]) ).
fof(f877,plain,
! [X0] :
( ~ sQ88_spl
| ~ product(e_2,e_3,X0)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f399,f41]) ).
fof(f878,plain,
! [X0] :
( ~ sQ88_spl
| ~ product(X0,e_2,e_4)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f399,f39]) ).
fof(f879,plain,
( ~ sQ84_spl
| ~ sQ88_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f878,f386]) ).
fof(f880,plain,
( ~ sQ49_spl
| ~ sQ113_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f484,f633]) ).
fof(f881,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f484,f73]) ).
fof(f882,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f484,f71]) ).
fof(f883,plain,
! [X0] :
( ~ sQ113_spl
| equalish(X0,e_3)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f484,f69]) ).
fof(f884,plain,
! [X0] :
( ~ sQ113_spl
| product(e_3,e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f484,f76]) ).
fof(f885,plain,
! [X0] :
( ~ sQ113_spl
| ~ product(e_1,e_3,X0)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f484,f41]) ).
fof(f886,plain,
! [X0] :
( ~ sQ113_spl
| ~ product(X0,e_1,e_4)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f484,f39]) ).
fof(f887,plain,
( ~ sQ109_spl
| ~ sQ113_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f886,f471]) ).
fof(f888,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f128,f842]) ).
fof(f889,plain,
( ~ sQ18_spl
| ~ sQ8_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f128,f795]) ).
fof(f890,plain,
( ~ sQ23_spl
| ~ sQ8_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f128,f746]) ).
fof(f891,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f128,f73]) ).
fof(f892,plain,
( ~ sQ8_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f128,f625]) ).
fof(f893,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f128,f71]) ).
fof(f894,plain,
! [X0] :
( ~ sQ8_spl
| equalish(X0,e_4)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f128,f69]) ).
fof(f895,plain,
( ~ sQ8_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f128,f80]) ).
fof(f896,plain,
! [X0] :
( ~ sQ8_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f128,f76]) ).
fof(f897,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(e_5,e_4,X0)
| product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f128,f41]) ).
fof(f898,plain,
! [X0] :
( ~ sQ8_spl
| ~ product(X0,e_5,e_4)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f128,f39]) ).
fof(f899,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f892,f66]) ).
fof(f900,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f899]) ).
fof(f901,plain,
( ~ sQ59_spl
| ~ sQ13_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f858,f127,f143,f300]) ).
fof(f902,plain,
( ~ sQ84_spl
| ~ sQ18_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f799,f127,f159,f385]) ).
fof(f903,plain,
( ~ sQ109_spl
| ~ sQ23_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f750,f127,f175,f470]) ).
fof(f904,plain,
( ~ sQ39_spl
| ~ sQ58_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f298,f645]) ).
fof(f905,plain,
( ~ sQ68_spl
| ~ sQ58_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f298,f818]) ).
fof(f906,plain,
( ~ sQ73_spl
| ~ sQ58_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f298,f769]) ).
fof(f907,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f298,f73]) ).
fof(f908,plain,
( ~ sQ58_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f298,f625]) ).
fof(f909,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f298,f71]) ).
fof(f910,plain,
! [X0] :
( ~ sQ58_spl
| equalish(X0,e_4)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f298,f69]) ).
fof(f911,plain,
( ~ sQ58_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f298,f80]) ).
fof(f912,plain,
! [X0] :
( ~ sQ58_spl
| product(e_4,e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f298,f76]) ).
fof(f913,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(e_3,e_4,X0)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f298,f41]) ).
fof(f914,plain,
! [X0] :
( ~ sQ58_spl
| ~ product(X0,e_3,e_4)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f298,f39]) ).
fof(f915,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f908,f57]) ).
fof(f916,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f915]) ).
fof(f917,plain,
( ~ sQ44_spl
| ~ sQ83_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f383,f639]) ).
fof(f918,plain,
( ~ sQ88_spl
| ~ sQ83_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f383,f878]) ).
fof(f919,plain,
( ~ sQ98_spl
| ~ sQ83_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f383,f777]) ).
fof(f920,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f383,f73]) ).
fof(f921,plain,
( ~ sQ83_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f383,f625]) ).
fof(f922,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f383,f71]) ).
fof(f923,plain,
! [X0] :
( ~ sQ83_spl
| equalish(X0,e_4)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f383,f69]) ).
fof(f924,plain,
( ~ sQ83_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f383,f80]) ).
fof(f925,plain,
! [X0] :
( ~ sQ83_spl
| product(e_4,e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f383,f76]) ).
fof(f926,plain,
! [X0] :
( ~ sQ83_spl
| ~ product(e_2,e_4,X0)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f383,f41]) ).
fof(f927,plain,
! [X0] :
( ~ sQ83_spl
| ~ product(X0,e_2,e_4)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f383,f39]) ).
fof(f928,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f921,f53]) ).
fof(f929,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f928]) ).
fof(f930,plain,
( ~ sQ49_spl
| ~ sQ108_spl
| product(e_4,e_4,e_5) ),
inference(resolution,[status(thm)],[f468,f633]) ).
fof(f931,plain,
( ~ sQ113_spl
| ~ sQ108_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f468,f886]) ).
fof(f932,plain,
( ~ sQ118_spl
| ~ sQ108_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f468,f836]) ).
fof(f933,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f468,f73]) ).
fof(f934,plain,
( ~ sQ108_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f468,f625]) ).
fof(f935,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_1)
| ~ product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f468,f71]) ).
fof(f936,plain,
! [X0] :
( ~ sQ108_spl
| equalish(X0,e_4)
| ~ product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f468,f69]) ).
fof(f937,plain,
( ~ sQ108_spl
| product(e_4,e_4,e_1) ),
inference(resolution,[status(thm)],[f468,f80]) ).
fof(f938,plain,
! [X0] :
( ~ sQ108_spl
| product(e_4,e_1,X0)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f468,f76]) ).
fof(f939,plain,
! [X0] :
( ~ sQ108_spl
| ~ product(e_1,e_4,X0)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f468,f41]) ).
fof(f940,plain,
! [X0] :
( ~ sQ108_spl
| ~ product(X0,e_1,e_4)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f468,f39]) ).
fof(f941,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f934,f49]) ).
fof(f942,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f941]) ).
fof(f943,plain,
( ~ sQ39_spl
| ~ sQ3_spl
| product(e_3,e_4,e_5) ),
inference(resolution,[status(thm)],[f112,f644]) ).
fof(f944,plain,
( ~ sQ44_spl
| ~ sQ3_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f112,f638]) ).
fof(f945,plain,
( ~ sQ49_spl
| ~ sQ3_spl
| product(e_1,e_4,e_5) ),
inference(resolution,[status(thm)],[f112,f632]) ).
fof(f946,plain,
( ~ sQ3_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f112,f627]) ).
fof(f947,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_4)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f112,f73]) ).
fof(f948,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f112,f71]) ).
fof(f949,plain,
! [X0] :
( ~ sQ3_spl
| equalish(X0,e_5)
| ~ product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f112,f69]) ).
fof(f950,plain,
( ~ sQ3_spl
| product(e_5,e_5,e_4) ),
inference(resolution,[status(thm)],[f112,f78]) ).
fof(f951,plain,
! [X0] :
( ~ sQ3_spl
| product(e_5,e_5,X0)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f112,f76]) ).
fof(f952,plain,
! [X0] :
( ~ sQ3_spl
| ~ product(e_5,e_5,X0)
| product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f112,f41]) ).
fof(f953,plain,
! [X0] :
( ~ sQ3_spl
| ~ product(X0,e_5,e_4)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f112,f39]) ).
fof(f954,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f946,f62]) ).
fof(f955,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f954]) ).
fof(f957,plain,
( ~ sQ119_spl
| ~ sQ23_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f745,f503]) ).
fof(f958,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f173,f73]) ).
fof(f959,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f173,f71]) ).
fof(f960,plain,
! [X0] :
( ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f173,f69]) ).
fof(f961,plain,
! [X0] :
( ~ sQ22_spl
| product(e_1,e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f173,f76]) ).
fof(f962,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(e_5,e_1,X0)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f173,f41]) ).
fof(f963,plain,
! [X0] :
( ~ sQ22_spl
| ~ product(X0,e_5,e_3)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f173,f39]) ).
fof(f964,plain,
( ~ sQ114_spl
| ~ sQ22_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f961,f487]) ).
fof(f965,plain,
( ~ sQ89_spl
| ~ sQ22_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f961,f402]) ).
fof(f966,plain,
( ~ sQ39_spl
| ~ sQ22_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f961,f232]) ).
fof(f967,plain,
( ~ sQ114_spl
| ~ sQ22_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f962,f487]) ).
fof(f968,plain,
( ~ sQ119_spl
| ~ sQ22_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f962,f503]) ).
fof(f969,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f258,f73]) ).
fof(f970,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f258,f71]) ).
fof(f971,plain,
! [X0] :
( ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f258,f69]) ).
fof(f972,plain,
! [X0] :
( ~ sQ47_spl
| product(e_1,e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f258,f76]) ).
fof(f973,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(e_4,e_1,X0)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f258,f41]) ).
fof(f974,plain,
! [X0] :
( ~ sQ47_spl
| ~ product(X0,e_4,e_3)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f258,f39]) ).
fof(f975,plain,
( ~ sQ113_spl
| ~ sQ47_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f972,f484]) ).
fof(f976,plain,
( ~ sQ88_spl
| ~ sQ47_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f972,f399]) ).
fof(f977,plain,
( ~ sQ113_spl
| ~ sQ47_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f973,f484]) ).
fof(f978,plain,
( ~ sQ118_spl
| ~ sQ47_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f973,f500]) ).
fof(f979,plain,
( ~ sQ39_spl
| ~ sQ47_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f974,f232]) ).
fof(f980,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f343,f73]) ).
fof(f981,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f343,f71]) ).
fof(f982,plain,
( ~ sQ72_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f343,f623]) ).
fof(f983,plain,
! [X0] :
( ~ sQ72_spl
| equalish(X0,e_1)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f343,f69]) ).
fof(f984,plain,
! [X0] :
( ~ sQ72_spl
| product(e_1,e_3,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f343,f76]) ).
fof(f985,plain,
( ~ sQ72_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f343,f77]) ).
fof(f986,plain,
! [X0] :
( ~ sQ72_spl
| ~ product(e_3,e_1,X0)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f343,f41]) ).
fof(f987,plain,
! [X0] :
( ~ sQ72_spl
| ~ product(X0,e_3,e_3)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f343,f39]) ).
fof(f988,plain,
( ~ sQ72_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f982,f48]) ).
fof(f989,plain,
~ sQ72_spl,
inference(contradiction_clause,[status(thm)],[f988]) ).
fof(f990,plain,
( ~ sQ68_spl
| ~ sQ97_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f428,f817]) ).
fof(f991,plain,
( ~ sQ69_spl
| ~ sQ97_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f428,f667]) ).
fof(f992,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f428,f73]) ).
fof(f993,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f428,f71]) ).
fof(f994,plain,
! [X0] :
( ~ sQ97_spl
| equalish(X0,e_1)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f428,f69]) ).
fof(f995,plain,
! [X0] :
( ~ sQ97_spl
| product(e_1,e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f428,f76]) ).
fof(f996,plain,
! [X0] :
( ~ sQ97_spl
| ~ product(e_2,e_1,X0)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f428,f41]) ).
fof(f997,plain,
! [X0] :
( ~ sQ97_spl
| ~ product(X0,e_2,e_3)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f428,f39]) ).
fof(f998,plain,
( ~ sQ88_spl
| ~ sQ97_spl
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f997,f399]) ).
fof(f999,plain,
( ~ sQ89_spl
| ~ sQ97_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f997,f402]) ).
fof(f1000,plain,
( ~ sQ73_spl
| ~ sQ122_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f513,f768]) ).
fof(f1001,plain,
( ~ sQ74_spl
| ~ sQ122_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f513,f661]) ).
fof(f1002,plain,
( ~ sQ122_spl
| equalish(e_3,e_1) ),
inference(resolution,[status(thm)],[f513,f627]) ).
fof(f1003,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f513,f73]) ).
fof(f1004,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f513,f71]) ).
fof(f1005,plain,
! [X0] :
( ~ sQ122_spl
| equalish(X0,e_1)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f513,f69]) ).
fof(f1006,plain,
( ~ sQ122_spl
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f513,f78]) ).
fof(f1007,plain,
! [X0] :
( ~ sQ122_spl
| product(e_1,e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f513,f76]) ).
fof(f1008,plain,
! [X0] :
( ~ sQ122_spl
| ~ product(e_1,e_1,X0)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f513,f41]) ).
fof(f1009,plain,
! [X0] :
( ~ sQ122_spl
| ~ product(X0,e_1,e_3)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f513,f39]) ).
fof(f1010,plain,
( ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1002,f55]) ).
fof(f1011,plain,
~ sQ122_spl,
inference(contradiction_clause,[status(thm)],[f1010]) ).
fof(f1012,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f157,f73]) ).
fof(f1013,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f157,f71]) ).
fof(f1014,plain,
! [X0] :
( ~ sQ17_spl
| equalish(X0,e_2)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f157,f69]) ).
fof(f1015,plain,
! [X0] :
( ~ sQ17_spl
| product(e_2,e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f157,f76]) ).
fof(f1016,plain,
! [X0] :
( ~ sQ17_spl
| ~ product(e_5,e_2,X0)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f157,f41]) ).
fof(f1017,plain,
! [X0] :
( ~ sQ17_spl
| ~ product(X0,e_5,e_3)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f157,f39]) ).
fof(f1018,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| product(e_2,e_5,e_1) ),
inference(resolution,[status(thm)],[f1015,f487]) ).
fof(f1019,plain,
( ~ sQ89_spl
| ~ sQ17_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f1015,f402]) ).
fof(f1020,plain,
( ~ sQ39_spl
| ~ sQ17_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f1015,f232]) ).
fof(f1021,plain,
( ~ sQ89_spl
| ~ sQ17_spl
| product(e_3,e_5,e_3) ),
inference(resolution,[status(thm)],[f1016,f402]) ).
fof(f1022,plain,
( ~ sQ99_spl
| ~ sQ17_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f1016,f434]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f242,f73]) ).
fof(f1024,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f242,f71]) ).
fof(f1025,plain,
! [X0] :
( ~ sQ42_spl
| equalish(X0,e_2)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f242,f69]) ).
fof(f1026,plain,
! [X0] :
( ~ sQ42_spl
| product(e_2,e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f242,f76]) ).
fof(f1027,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(e_4,e_2,X0)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f242,f41]) ).
fof(f1028,plain,
! [X0] :
( ~ sQ42_spl
| ~ product(X0,e_4,e_3)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f242,f39]) ).
fof(f1029,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1026,f484]) ).
fof(f1030,plain,
( ~ sQ88_spl
| ~ sQ42_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f1026,f399]) ).
fof(f1031,plain,
( ~ sQ88_spl
| ~ sQ42_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1027,f399]) ).
fof(f1032,plain,
( ~ sQ98_spl
| ~ sQ42_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1027,f431]) ).
fof(f1033,plain,
( ~ sQ39_spl
| ~ sQ42_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f1028,f232]) ).
fof(f1034,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f327,f73]) ).
fof(f1035,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f327,f71]) ).
fof(f1036,plain,
( ~ sQ67_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f327,f623]) ).
fof(f1037,plain,
! [X0] :
( ~ sQ67_spl
| equalish(X0,e_2)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f327,f69]) ).
fof(f1038,plain,
! [X0] :
( ~ sQ67_spl
| product(e_2,e_3,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f327,f76]) ).
fof(f1039,plain,
( ~ sQ67_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f327,f77]) ).
fof(f1040,plain,
! [X0] :
( ~ sQ67_spl
| ~ product(e_3,e_2,X0)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f327,f41]) ).
fof(f1041,plain,
! [X0] :
( ~ sQ67_spl
| ~ product(X0,e_3,e_3)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f327,f39]) ).
fof(f1042,plain,
( ~ sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1036,f52]) ).
fof(f1043,plain,
~ sQ67_spl,
inference(contradiction_clause,[status(thm)],[f1042]) ).
fof(f1044,plain,
( ~ sQ68_spl
| ~ sQ92_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f412,f817]) ).
fof(f1045,plain,
( ~ sQ69_spl
| ~ sQ92_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f412,f667]) ).
fof(f1046,plain,
( ~ sQ92_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f412,f627]) ).
fof(f1047,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f412,f73]) ).
fof(f1048,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f412,f71]) ).
fof(f1049,plain,
! [X0] :
( ~ sQ92_spl
| equalish(X0,e_2)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f412,f69]) ).
fof(f1050,plain,
( ~ sQ92_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f412,f78]) ).
fof(f1051,plain,
! [X0] :
( ~ sQ92_spl
| product(e_2,e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f412,f76]) ).
fof(f1052,plain,
! [X0] :
( ~ sQ92_spl
| ~ product(e_2,e_2,X0)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f412,f41]) ).
fof(f1053,plain,
! [X0] :
( ~ sQ92_spl
| ~ product(X0,e_2,e_3)
| product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f412,f39]) ).
fof(f1054,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1046,f56]) ).
fof(f1055,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f1054]) ).
fof(f1056,plain,
( ~ sQ73_spl
| ~ sQ117_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f497,f768]) ).
fof(f1057,plain,
( ~ sQ74_spl
| ~ sQ117_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f497,f661]) ).
fof(f1058,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f497,f73]) ).
fof(f1059,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f497,f71]) ).
fof(f1060,plain,
! [X0] :
( ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f497,f69]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ117_spl
| product(e_2,e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f497,f76]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ117_spl
| ~ product(e_1,e_2,X0)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f497,f41]) ).
fof(f1063,plain,
! [X0] :
( ~ sQ117_spl
| ~ product(X0,e_1,e_3)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f497,f39]) ).
fof(f1064,plain,
( ~ sQ17_spl
| ~ sQ12_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f141,f1017]) ).
fof(f1065,plain,
( ~ sQ22_spl
| ~ sQ12_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f141,f963]) ).
fof(f1066,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f141,f73]) ).
fof(f1067,plain,
( ~ sQ12_spl
| equalish(e_5,e_3) ),
inference(resolution,[status(thm)],[f141,f625]) ).
fof(f1068,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f141,f71]) ).
fof(f1069,plain,
! [X0] :
( ~ sQ12_spl
| equalish(X0,e_3)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f141,f69]) ).
fof(f1070,plain,
( ~ sQ12_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f141,f80]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ12_spl
| product(e_3,e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f141,f76]) ).
fof(f1072,plain,
! [X0] :
( ~ sQ12_spl
| ~ product(e_5,e_3,X0)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f141,f41]) ).
fof(f1073,plain,
! [X0] :
( ~ sQ12_spl
| ~ product(X0,e_5,e_3)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f141,f39]) ).
fof(f1074,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1067,f65]) ).
fof(f1075,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f1074]) ).
fof(f1076,plain,
( ~ sQ89_spl
| ~ sQ17_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f1021,f140,f156,f401]) ).
fof(f1077,plain,
( ~ sQ114_spl
| ~ sQ22_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f967,f140,f172,f486]) ).
fof(f1078,plain,
( ~ sQ42_spl
| ~ sQ37_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f226,f1028]) ).
fof(f1079,plain,
( ~ sQ47_spl
| ~ sQ37_spl
| product(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f226,f974]) ).
fof(f1080,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f226,f73]) ).
fof(f1081,plain,
( ~ sQ37_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f226,f625]) ).
fof(f1082,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f226,f71]) ).
fof(f1083,plain,
! [X0] :
( ~ sQ37_spl
| equalish(X0,e_3)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f226,f69]) ).
fof(f1084,plain,
( ~ sQ37_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f226,f80]) ).
fof(f1085,plain,
! [X0] :
( ~ sQ37_spl
| product(e_3,e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f226,f76]) ).
fof(f1086,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(e_4,e_3,X0)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f226,f41]) ).
fof(f1087,plain,
! [X0] :
( ~ sQ37_spl
| ~ product(X0,e_4,e_3)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f226,f39]) ).
fof(f1088,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1081,f61]) ).
fof(f1089,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f1088]) ).
fof(f1090,plain,
( ~ sQ88_spl
| ~ sQ42_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1031,f225,f241,f398]) ).
fof(f1091,plain,
( ~ sQ113_spl
| ~ sQ47_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f977,f225,f257,f483]) ).
fof(f1092,plain,
( ~ sQ68_spl
| ~ sQ87_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f396,f817]) ).
fof(f1093,plain,
( ~ sQ69_spl
| ~ sQ87_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f396,f667]) ).
fof(f1094,plain,
( ~ sQ97_spl
| ~ sQ87_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f396,f997]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f396,f73]) ).
fof(f1096,plain,
( ~ sQ87_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f396,f625]) ).
fof(f1097,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f396,f71]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ87_spl
| equalish(X0,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f396,f69]) ).
fof(f1099,plain,
( ~ sQ87_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f396,f80]) ).
fof(f1100,plain,
! [X0] :
( ~ sQ87_spl
| product(e_3,e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f396,f76]) ).
fof(f1101,plain,
! [X0] :
( ~ sQ87_spl
| ~ product(e_2,e_3,X0)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f396,f41]) ).
fof(f1102,plain,
! [X0] :
( ~ sQ87_spl
| ~ product(X0,e_2,e_3)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f396,f39]) ).
fof(f1103,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1096,f52]) ).
fof(f1104,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f1103]) ).
fof(f1105,plain,
( ~ sQ73_spl
| ~ sQ112_spl
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f481,f768]) ).
fof(f1106,plain,
( ~ sQ74_spl
| ~ sQ112_spl
| product(e_3,e_3,e_5) ),
inference(resolution,[status(thm)],[f481,f661]) ).
fof(f1107,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f481,f73]) ).
fof(f1108,plain,
( ~ sQ112_spl
| equalish(e_1,e_3) ),
inference(resolution,[status(thm)],[f481,f625]) ).
fof(f1109,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f481,f71]) ).
fof(f1110,plain,
! [X0] :
( ~ sQ112_spl
| equalish(X0,e_3)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f481,f69]) ).
fof(f1111,plain,
( ~ sQ112_spl
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f481,f80]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ112_spl
| product(e_3,e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f481,f76]) ).
fof(f1113,plain,
! [X0] :
( ~ sQ112_spl
| ~ product(e_1,e_3,X0)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f481,f41]) ).
fof(f1114,plain,
! [X0] :
( ~ sQ112_spl
| ~ product(X0,e_1,e_3)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f481,f39]) ).
fof(f1115,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1108,f48]) ).
fof(f1116,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f1115]) ).
fof(f1117,plain,
( ~ sQ68_spl
| ~ sQ7_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f125,f816]) ).
fof(f1118,plain,
( ~ sQ73_spl
| ~ sQ7_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f125,f767]) ).
fof(f1119,plain,
( ~ sQ23_spl
| ~ sQ7_spl
| product(e_5,e_1,e_3) ),
inference(resolution,[status(thm)],[f125,f746]) ).
fof(f1120,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f125,f73]) ).
fof(f1121,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f125,f71]) ).
fof(f1122,plain,
! [X0] :
( ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f125,f69]) ).
fof(f1123,plain,
! [X0] :
( ~ sQ7_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f125,f76]) ).
fof(f1124,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(e_5,e_4,X0)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f125,f41]) ).
fof(f1125,plain,
! [X0] :
( ~ sQ7_spl
| ~ product(X0,e_5,e_3)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f125,f39]) ).
fof(f1126,plain,
( ~ sQ68_spl
| ~ sQ32_spl
| product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f210,f816]) ).
fof(f1127,plain,
( ~ sQ73_spl
| ~ sQ32_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f210,f767]) ).
fof(f1128,plain,
( ~ sQ32_spl
| equalish(e_3,e_4) ),
inference(resolution,[status(thm)],[f210,f627]) ).
fof(f1129,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f210,f73]) ).
fof(f1130,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f210,f71]) ).
fof(f1131,plain,
! [X0] :
( ~ sQ32_spl
| equalish(X0,e_4)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f210,f69]) ).
fof(f1132,plain,
( ~ sQ32_spl
| product(e_4,e_4,e_3) ),
inference(resolution,[status(thm)],[f210,f78]) ).
fof(f1133,plain,
! [X0] :
( ~ sQ32_spl
| product(e_4,e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f210,f76]) ).
fof(f1134,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(e_4,e_4,X0)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f210,f41]) ).
fof(f1135,plain,
! [X0] :
( ~ sQ32_spl
| ~ product(X0,e_4,e_3)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f210,f39]) ).
fof(f1136,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1128,f57]) ).
fof(f1137,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f1136]) ).
fof(f1139,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1119,f73]) ).
fof(f1140,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f1119,f71]) ).
fof(f1141,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f1119,f69]) ).
fof(f1142,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ7_spl
| product(e_3,e_1,X0)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1119,f76]) ).
fof(f1143,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ7_spl
| ~ product(e_1,e_3,X0)
| product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1119,f41]) ).
fof(f1144,plain,
! [X0] :
( ~ sQ23_spl
| ~ sQ7_spl
| ~ product(X0,e_1,e_5)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1119,f39]) ).
fof(f1145,plain,
( ~ sQ113_spl
| ~ sQ23_spl
| ~ sQ7_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f1139,f484]) ).
fof(f1147,plain,
( ~ sQ113_spl
| ~ sQ23_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1145,f62]) ).
fof(f1148,plain,
( ~ sQ113_spl
| ~ sQ23_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1147]) ).
fof(f1149,plain,
( ~ sQ39_spl
| ~ sQ7_spl
| product(e_4,e_5,e_4) ),
inference(resolution,[status(thm)],[f1123,f232]) ).
fof(f1150,plain,
( ~ sQ39_spl
| ~ sQ7_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f1149,f127,f124,f231]) ).
fof(f1151,plain,
( ~ sQ44_spl
| ~ sQ7_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f1124,f248]) ).
fof(f1152,plain,
( ~ sQ49_spl
| ~ sQ7_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f1124,f264]) ).
fof(f1153,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f794,f434]) ).
fof(f1154,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f795,f125]) ).
fof(f1155,plain,
( ~ sQ68_spl
| ~ sQ57_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f295,f816]) ).
fof(f1156,plain,
( ~ sQ73_spl
| ~ sQ57_spl
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f295,f767]) ).
fof(f1159,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f295,f73]) ).
fof(f1160,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_3)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f295,f71]) ).
fof(f1161,plain,
( ~ sQ57_spl
| equalish(e_4,e_3) ),
inference(resolution,[status(thm)],[f295,f623]) ).
fof(f1162,plain,
! [X0] :
( ~ sQ57_spl
| equalish(X0,e_4)
| ~ product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f295,f69]) ).
fof(f1163,plain,
! [X0] :
( ~ sQ57_spl
| product(e_4,e_3,X0)
| ~ product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f295,f76]) ).
fof(f1164,plain,
( ~ sQ57_spl
| product(e_4,e_3,e_3) ),
inference(resolution,[status(thm)],[f295,f77]) ).
fof(f1165,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(e_3,e_4,X0)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f295,f41]) ).
fof(f1166,plain,
! [X0] :
( ~ sQ57_spl
| ~ product(X0,e_3,e_3)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f295,f39]) ).
fof(f1169,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1161,f61]) ).
fof(f1170,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f1169]) ).
fof(f1171,plain,
( ~ sQ68_spl
| ~ sQ82_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f380,f817]) ).
fof(f1172,plain,
( ~ sQ69_spl
| ~ sQ82_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f380,f667]) ).
fof(f1173,plain,
( ~ sQ68_spl
| ~ sQ82_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f380,f816]) ).
fof(f1174,plain,
( ~ sQ73_spl
| ~ sQ82_spl
| product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f380,f767]) ).
fof(f1175,plain,
( ~ sQ88_spl
| ~ sQ82_spl
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f380,f878]) ).
fof(f1176,plain,
( ~ sQ98_spl
| ~ sQ82_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f380,f777]) ).
fof(f1177,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f380,f73]) ).
fof(f1178,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f380,f71]) ).
fof(f1179,plain,
! [X0] :
( ~ sQ82_spl
| equalish(X0,e_4)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f380,f69]) ).
fof(f1180,plain,
! [X0] :
( ~ sQ82_spl
| product(e_4,e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f380,f76]) ).
fof(f1181,plain,
! [X0] :
( ~ sQ82_spl
| ~ product(e_2,e_4,X0)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f380,f41]) ).
fof(f1182,plain,
! [X0] :
( ~ sQ82_spl
| ~ product(X0,e_2,e_3)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f380,f39]) ).
fof(f1183,plain,
( ~ sQ68_spl
| ~ sQ82_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f1171,f297,f379,f329]) ).
fof(f1184,plain,
( ~ sQ73_spl
| ~ sQ107_spl
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f465,f768]) ).
fof(f1185,plain,
( ~ sQ74_spl
| ~ sQ107_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f465,f661]) ).
fof(f1186,plain,
( ~ sQ68_spl
| ~ sQ107_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f465,f816]) ).
fof(f1187,plain,
( ~ sQ73_spl
| ~ sQ107_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f465,f767]) ).
fof(f1188,plain,
( ~ sQ118_spl
| ~ sQ107_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f465,f836]) ).
fof(f1189,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f465,f73]) ).
fof(f1190,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f465,f71]) ).
fof(f1191,plain,
! [X0] :
( ~ sQ107_spl
| equalish(X0,e_4)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f465,f69]) ).
fof(f1192,plain,
! [X0] :
( ~ sQ107_spl
| product(e_4,e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f465,f76]) ).
fof(f1193,plain,
! [X0] :
( ~ sQ107_spl
| ~ product(e_1,e_4,X0)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f465,f41]) ).
fof(f1194,plain,
! [X0] :
( ~ sQ107_spl
| ~ product(X0,e_1,e_3)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f465,f39]) ).
fof(f1195,plain,
( ~ sQ73_spl
| ~ sQ107_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f1184,f297,f464,f345]) ).
fof(f1196,plain,
( ~ sQ59_spl
| ~ sQ2_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f109,f682]) ).
fof(f1197,plain,
( ~ sQ69_spl
| ~ sQ2_spl
| product(e_2,e_3,e_5) ),
inference(resolution,[status(thm)],[f109,f666]) ).
fof(f1198,plain,
( ~ sQ74_spl
| ~ sQ2_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f109,f660]) ).
fof(f1199,plain,
( ~ sQ2_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f109,f627]) ).
fof(f1200,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f109,f73]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f109,f71]) ).
fof(f1202,plain,
! [X0] :
( ~ sQ2_spl
| equalish(X0,e_5)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f109,f69]) ).
fof(f1203,plain,
( ~ sQ2_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f109,f78]) ).
fof(f1204,plain,
! [X0] :
( ~ sQ2_spl
| product(e_5,e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f109,f76]) ).
fof(f1205,plain,
! [X0] :
( ~ sQ2_spl
| ~ product(e_5,e_5,X0)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f109,f41]) ).
fof(f1206,plain,
! [X0] :
( ~ sQ2_spl
| ~ product(X0,e_5,e_3)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f109,f39]) ).
fof(f1207,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1199,f58]) ).
fof(f1208,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f1207]) ).
fof(f1209,plain,
( ~ sQ119_spl
| ~ sQ22_spl
| product(e_2,e_5,e_3) ),
inference(resolution,[status(thm)],[f962,f503]) ).
fof(f1210,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f170,f73]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f170,f71]) ).
fof(f1212,plain,
! [X0] :
( ~ sQ21_spl
| equalish(X0,e_1)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f170,f69]) ).
fof(f1213,plain,
! [X0] :
( ~ sQ21_spl
| product(e_1,e_5,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f170,f76]) ).
fof(f1214,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(e_5,e_1,X0)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f170,f41]) ).
fof(f1215,plain,
! [X0] :
( ~ sQ21_spl
| ~ product(X0,e_5,e_2)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f170,f39]) ).
fof(f1216,plain,
( ~ sQ119_spl
| ~ sQ21_spl
| product(e_1,e_5,e_1) ),
inference(resolution,[status(thm)],[f1213,f503]) ).
fof(f1217,plain,
( ~ sQ69_spl
| ~ sQ21_spl
| product(e_1,e_5,e_3) ),
inference(resolution,[status(thm)],[f1213,f333]) ).
fof(f1218,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f1213,f248]) ).
fof(f1219,plain,
( ~ sQ119_spl
| ~ sQ21_spl
| product(e_2,e_5,e_2) ),
inference(resolution,[status(thm)],[f1214,f503]) ).
fof(f1220,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f255,f73]) ).
fof(f1221,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f255,f71]) ).
fof(f1222,plain,
! [X0] :
( ~ sQ46_spl
| equalish(X0,e_1)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f255,f69]) ).
fof(f1223,plain,
! [X0] :
( ~ sQ46_spl
| product(e_1,e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f255,f76]) ).
fof(f1224,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(e_4,e_1,X0)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f255,f41]) ).
fof(f1225,plain,
! [X0] :
( ~ sQ46_spl
| ~ product(X0,e_4,e_2)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f255,f39]) ).
fof(f1226,plain,
( ~ sQ118_spl
| ~ sQ46_spl
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f1223,f500]) ).
fof(f1227,plain,
( ~ sQ68_spl
| ~ sQ46_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f1223,f330]) ).
fof(f1228,plain,
( ~ sQ118_spl
| ~ sQ46_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f1224,f500]) ).
fof(f1229,plain,
( ~ sQ44_spl
| ~ sQ46_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f1225,f248]) ).
fof(f1230,plain,
( ~ sQ89_spl
| ~ sQ71_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f340,f705]) ).
fof(f1231,plain,
( ~ sQ88_spl
| ~ sQ71_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f340,f877]) ).
fof(f1232,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f340,f73]) ).
fof(f1233,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f340,f71]) ).
fof(f1234,plain,
! [X0] :
( ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f340,f69]) ).
fof(f1235,plain,
! [X0] :
( ~ sQ71_spl
| product(e_1,e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f340,f76]) ).
fof(f1236,plain,
! [X0] :
( ~ sQ71_spl
| ~ product(e_3,e_1,X0)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f340,f41]) ).
fof(f1237,plain,
! [X0] :
( ~ sQ71_spl
| ~ product(X0,e_3,e_2)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f340,f39]) ).
fof(f1238,plain,
( ~ sQ117_spl
| ~ sQ71_spl
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f1235,f497]) ).
fof(f1239,plain,
( ~ sQ107_spl
| ~ sQ71_spl
| product(e_4,e_3,e_2) ),
inference(resolution,[status(thm)],[f1236,f465]) ).
fof(f1240,plain,
( ~ sQ117_spl
| ~ sQ71_spl
| product(e_2,e_3,e_2) ),
inference(resolution,[status(thm)],[f1236,f497]) ).
fof(f1241,plain,
( ~ sQ68_spl
| ~ sQ71_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1237,f330]) ).
fof(f1242,plain,
( ~ sQ69_spl
| ~ sQ71_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f1237,f333]) ).
fof(f1243,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f425,f73]) ).
fof(f1244,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f425,f71]) ).
fof(f1245,plain,
( ~ sQ96_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f425,f623]) ).
fof(f1246,plain,
! [X0] :
( ~ sQ96_spl
| equalish(X0,e_1)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f425,f69]) ).
fof(f1247,plain,
! [X0] :
( ~ sQ96_spl
| product(e_1,e_2,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f425,f76]) ).
fof(f1248,plain,
( ~ sQ96_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f425,f77]) ).
fof(f1249,plain,
! [X0] :
( ~ sQ96_spl
| ~ product(e_2,e_1,X0)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f425,f41]) ).
fof(f1250,plain,
! [X0] :
( ~ sQ96_spl
| ~ product(X0,e_2,e_2)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f425,f39]) ).
fof(f1251,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1245,f47]) ).
fof(f1252,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f1251]) ).
fof(f1253,plain,
( ~ sQ97_spl
| ~ sQ121_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f510,f996]) ).
fof(f1254,plain,
( ~ sQ98_spl
| ~ sQ121_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f510,f776]) ).
fof(f1255,plain,
( ~ sQ99_spl
| ~ sQ121_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f510,f689]) ).
fof(f1256,plain,
( ~ sQ121_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f510,f627]) ).
fof(f1257,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_1) ),
inference(resolution,[status(thm)],[f510,f73]) ).
fof(f1258,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f510,f71]) ).
fof(f1259,plain,
! [X0] :
( ~ sQ121_spl
| equalish(X0,e_1)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f510,f69]) ).
fof(f1260,plain,
( ~ sQ121_spl
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[f510,f78]) ).
fof(f1261,plain,
! [X0] :
( ~ sQ121_spl
| product(e_1,e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f510,f76]) ).
fof(f1262,plain,
! [X0] :
( ~ sQ121_spl
| ~ product(e_1,e_1,X0)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f510,f41]) ).
fof(f1263,plain,
! [X0] :
( ~ sQ121_spl
| ~ product(X0,e_1,e_2)
| product(e_1,e_1,X0) ),
inference(resolution,[status(thm)],[f510,f39]) ).
fof(f1264,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1256,f51]) ).
fof(f1265,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f1264]) ).
fof(f1266,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f154,f1215]) ).
fof(f1267,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f154,f73]) ).
fof(f1268,plain,
( ~ sQ16_spl
| equalish(e_5,e_2) ),
inference(resolution,[status(thm)],[f154,f625]) ).
fof(f1269,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f154,f71]) ).
fof(f1270,plain,
! [X0] :
( ~ sQ16_spl
| equalish(X0,e_2)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f154,f69]) ).
fof(f1271,plain,
( ~ sQ16_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f154,f80]) ).
fof(f1272,plain,
! [X0] :
( ~ sQ16_spl
| product(e_2,e_5,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f154,f76]) ).
fof(f1273,plain,
! [X0] :
( ~ sQ16_spl
| ~ product(e_5,e_2,X0)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f154,f41]) ).
fof(f1274,plain,
! [X0] :
( ~ sQ16_spl
| ~ product(X0,e_5,e_2)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f154,f39]) ).
fof(f1275,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1268,f64]) ).
fof(f1276,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f1275]) ).
fof(f1277,plain,
( ~ sQ119_spl
| ~ sQ21_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f1219,f153,f169,f502]) ).
fof(f1278,plain,
( ~ sQ46_spl
| ~ sQ41_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f239,f1225]) ).
fof(f1279,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f239,f73]) ).
fof(f1280,plain,
( ~ sQ41_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f239,f625]) ).
fof(f1281,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f239,f71]) ).
fof(f1282,plain,
! [X0] :
( ~ sQ41_spl
| equalish(X0,e_2)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f239,f69]) ).
fof(f1283,plain,
( ~ sQ41_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f239,f80]) ).
fof(f1284,plain,
! [X0] :
( ~ sQ41_spl
| product(e_2,e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f239,f76]) ).
fof(f1285,plain,
! [X0] :
( ~ sQ41_spl
| ~ product(e_4,e_2,X0)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f239,f41]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ41_spl
| ~ product(X0,e_4,e_2)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f239,f39]) ).
fof(f1287,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1280,f60]) ).
fof(f1288,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f1287]) ).
fof(f1289,plain,
( ~ sQ118_spl
| ~ sQ46_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f1228,f238,f254,f499]) ).
fof(f1290,plain,
( ~ sQ89_spl
| ~ sQ66_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f324,f705]) ).
fof(f1291,plain,
( ~ sQ88_spl
| ~ sQ66_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f324,f877]) ).
fof(f1292,plain,
( ~ sQ71_spl
| ~ sQ66_spl
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f324,f1237]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f324,f73]) ).
fof(f1294,plain,
( ~ sQ66_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f324,f625]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f324,f71]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ66_spl
| equalish(X0,e_2)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f324,f69]) ).
fof(f1297,plain,
( ~ sQ66_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f324,f80]) ).
fof(f1298,plain,
! [X0] :
( ~ sQ66_spl
| product(e_2,e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f324,f76]) ).
fof(f1299,plain,
! [X0] :
( ~ sQ66_spl
| ~ product(e_3,e_2,X0)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f324,f41]) ).
fof(f1300,plain,
! [X0] :
( ~ sQ66_spl
| ~ product(X0,e_3,e_2)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f324,f39]) ).
fof(f1301,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1294,f56]) ).
fof(f1302,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f1301]) ).
fof(f1303,plain,
( ~ sQ117_spl
| ~ sQ71_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f1240,f323,f339,f496]) ).
fof(f1304,plain,
( ~ sQ68_spl
| ~ sQ107_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f1186,f339,f464,f329]) ).
fof(f1305,plain,
( ~ sQ44_spl
| ~ sQ46_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f1225,f248]) ).
fof(f1306,plain,
( ~ sQ97_spl
| ~ sQ116_spl
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f494,f996]) ).
fof(f1307,plain,
( ~ sQ98_spl
| ~ sQ116_spl
| product(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f494,f776]) ).
fof(f1308,plain,
( ~ sQ99_spl
| ~ sQ116_spl
| product(e_2,e_2,e_5) ),
inference(resolution,[status(thm)],[f494,f689]) ).
fof(f1309,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f494,f73]) ).
fof(f1310,plain,
( ~ sQ116_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f494,f625]) ).
fof(f1311,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f494,f71]) ).
fof(f1312,plain,
! [X0] :
( ~ sQ116_spl
| equalish(X0,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f494,f69]) ).
fof(f1313,plain,
( ~ sQ116_spl
| product(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f494,f80]) ).
fof(f1314,plain,
! [X0] :
( ~ sQ116_spl
| product(e_2,e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f494,f76]) ).
fof(f1315,plain,
! [X0] :
( ~ sQ116_spl
| ~ product(e_1,e_2,X0)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f494,f41]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ116_spl
| ~ product(X0,e_1,e_2)
| product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f494,f39]) ).
fof(f1317,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1310,f47]) ).
fof(f1318,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f1317]) ).
fof(f1319,plain,
( ~ sQ82_spl
| ~ sQ11_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f138,f1180]) ).
fof(f1321,plain,
( ~ sQ22_spl
| ~ sQ11_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f138,f963]) ).
fof(f1322,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f138,f1125]) ).
fof(f1323,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f138,f73]) ).
fof(f1324,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f138,f71]) ).
fof(f1325,plain,
! [X0] :
( ~ sQ11_spl
| equalish(X0,e_3)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f138,f69]) ).
fof(f1326,plain,
! [X0] :
( ~ sQ11_spl
| product(e_3,e_5,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f138,f76]) ).
fof(f1327,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(e_5,e_3,X0)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f138,f41]) ).
fof(f1328,plain,
! [X0] :
( ~ sQ11_spl
| ~ product(X0,e_5,e_2)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f138,f39]) ).
fof(f1329,plain,
( ~ sQ82_spl
| ~ sQ36_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f223,f1181]) ).
fof(f1330,plain,
( ~ sQ82_spl
| ~ sQ36_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f223,f1180]) ).
fof(f1331,plain,
( ~ sQ97_spl
| ~ sQ36_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f223,f995]) ).
fof(f1332,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f223,f73]) ).
fof(f1333,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f223,f71]) ).
fof(f1334,plain,
! [X0] :
( ~ sQ36_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f223,f69]) ).
fof(f1335,plain,
! [X0] :
( ~ sQ36_spl
| product(e_3,e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f223,f76]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ36_spl
| ~ product(e_4,e_3,X0)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f223,f41]) ).
fof(f1337,plain,
! [X0] :
( ~ sQ36_spl
| ~ product(X0,e_4,e_2)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f223,f39]) ).
fof(f1338,plain,
( ~ sQ82_spl
| ~ sQ36_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f1329,f395,f222,f379]) ).
fof(f1339,plain,
( ~ sQ82_spl
| ~ sQ36_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f1330,f382,f222,f379]) ).
fof(f1341,plain,
( ~ sQ97_spl
| ~ sQ61_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f308,f995]) ).
fof(f1342,plain,
( ~ sQ61_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f308,f627]) ).
fof(f1343,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f308,f73]) ).
fof(f1344,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f308,f71]) ).
fof(f1345,plain,
! [X0] :
( ~ sQ61_spl
| equalish(X0,e_3)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f308,f69]) ).
fof(f1346,plain,
( ~ sQ61_spl
| product(e_3,e_3,e_2) ),
inference(resolution,[status(thm)],[f308,f78]) ).
fof(f1347,plain,
! [X0] :
( ~ sQ61_spl
| product(e_3,e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f308,f76]) ).
fof(f1348,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(e_3,e_3,X0)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f308,f41]) ).
fof(f1349,plain,
! [X0] :
( ~ sQ61_spl
| ~ product(X0,e_3,e_2)
| product(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f308,f39]) ).
fof(f1351,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1342,f52]) ).
fof(f1352,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f1351]) ).
fof(f1353,plain,
( ~ sQ113_spl
| ~ sQ42_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f1029,f254,f241,f483]) ).
fof(f1354,plain,
( ~ sQ88_spl
| ~ sQ82_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f1175,f307,f379,f398]) ).
fof(f1355,plain,
( ~ sQ97_spl
| ~ sQ86_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f393,f995]) ).
fof(f1357,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f393,f73]) ).
fof(f1358,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f393,f71]) ).
fof(f1359,plain,
( ~ sQ86_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f393,f623]) ).
fof(f1360,plain,
! [X0] :
( ~ sQ86_spl
| equalish(X0,e_3)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f393,f69]) ).
fof(f1361,plain,
! [X0] :
( ~ sQ86_spl
| product(e_3,e_2,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f393,f76]) ).
fof(f1362,plain,
( ~ sQ86_spl
| product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[f393,f77]) ).
fof(f1363,plain,
! [X0] :
( ~ sQ86_spl
| ~ product(e_2,e_3,X0)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f393,f41]) ).
fof(f1364,plain,
! [X0] :
( ~ sQ86_spl
| ~ product(X0,e_2,e_2)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f393,f39]) ).
fof(f1366,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1359,f56]) ).
fof(f1367,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f1366]) ).
fof(f1368,plain,
( ~ sQ97_spl
| ~ sQ111_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f478,f996]) ).
fof(f1369,plain,
( ~ sQ98_spl
| ~ sQ111_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f478,f776]) ).
fof(f1370,plain,
( ~ sQ99_spl
| ~ sQ111_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f478,f689]) ).
fof(f1371,plain,
( ~ sQ97_spl
| ~ sQ111_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f478,f995]) ).
fof(f1372,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f478,f73]) ).
fof(f1373,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f478,f71]) ).
fof(f1374,plain,
! [X0] :
( ~ sQ111_spl
| equalish(X0,e_3)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f478,f69]) ).
fof(f1375,plain,
! [X0] :
( ~ sQ111_spl
| product(e_3,e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f478,f76]) ).
fof(f1376,plain,
! [X0] :
( ~ sQ111_spl
| ~ product(e_1,e_3,X0)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f478,f41]) ).
fof(f1377,plain,
! [X0] :
( ~ sQ111_spl
| ~ product(X0,e_1,e_2)
| product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f478,f39]) ).
fof(f1378,plain,
( ~ sQ97_spl
| ~ sQ111_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f1368,f395,f477,f427]) ).
fof(f1379,plain,
( ~ sQ98_spl
| ~ sQ111_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1369,f379,f477,f430]) ).
fof(f1380,plain,
( ~ sQ22_spl
| ~ sQ11_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f1321,f502,f137,f172]) ).
fof(f1381,plain,
( ~ sQ98_spl
| ~ sQ82_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f1176,f477,f379,f430]) ).
fof(f1382,plain,
( ~ sQ7_spl
| ~ sQ18_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f1154,f401,f159,f124]) ).
fof(f1383,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ71_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1239,f73]) ).
fof(f1384,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ71_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f1239,f71]) ).
fof(f1385,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ71_spl
| equalish(X0,e_2)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1239,f69]) ).
fof(f1386,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ71_spl
| product(e_2,e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1239,f76]) ).
fof(f1387,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ71_spl
| ~ product(e_3,e_2,X0)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1239,f41]) ).
fof(f1388,plain,
! [X0] :
( ~ sQ107_spl
| ~ sQ71_spl
| ~ product(X0,e_3,e_4)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1239,f39]) ).
fof(f1390,plain,
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ71_spl
| equalish(e_5,e_4) ),
inference(resolution,[status(thm)],[f1383,f333]) ).
fof(f1391,plain,
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1390,f66]) ).
fof(f1392,plain,
( ~ sQ69_spl
| ~ sQ107_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f1391]) ).
fof(f1393,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ18_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f800,f73]) ).
fof(f1394,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ18_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f800,f71]) ).
fof(f1395,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f800,f69]) ).
fof(f1396,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ18_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f800,f76]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ18_spl
| ~ product(e_5,e_4,X0)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f800,f41]) ).
fof(f1398,plain,
! [X0] :
( ~ sQ89_spl
| ~ sQ18_spl
| ~ product(X0,e_5,e_3)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f800,f39]) ).
fof(f1400,plain,
( ~ sQ74_spl
| ~ sQ11_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f1327,f349]) ).
fof(f1403,plain,
( ~ sQ11_spl
| ~ sQ97_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f995,f138]) ).
fof(f1404,plain,
( ~ sQ99_spl
| ~ sQ18_spl
| product(e_1,e_5,e_4) ),
inference(resolution,[status(thm)],[f794,f434]) ).
fof(f1406,plain,
( ~ sQ89_spl
| ~ sQ18_spl
| ~ sQ73_spl
| product(e_1,e_3,e_5) ),
inference(resolution,[status(thm)],[f767,f800]) ).
fof(f1407,plain,
( ~ sQ11_spl
| ~ sQ22_spl
| product(e_5,e_1,e_2) ),
inference(resolution,[status(thm)],[f963,f138]) ).
fof(f1408,plain,
( ~ sQ11_spl
| ~ sQ82_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f1180,f138]) ).
fof(f1409,plain,
( ~ sQ11_spl
| ~ sQ89_spl
| ~ sQ18_spl
| product(e_5,e_4,e_2) ),
inference(resolution,[status(thm)],[f1398,f138]) ).
fof(f1412,plain,
( ~ sQ46_spl
| ~ sQ11_spl
| ~ sQ89_spl
| ~ sQ18_spl
| product(e_4,e_1,e_5) ),
inference(resolution,[status(thm)],[f1409,f1225]) ).
fof(f1413,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ89_spl
| ~ sQ18_spl
| equalish(X0,e_5)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1409,f73]) ).
fof(f1414,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ89_spl
| ~ sQ18_spl
| equalish(X0,e_4)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1409,f71]) ).
fof(f1415,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ89_spl
| ~ sQ18_spl
| equalish(X0,e_2)
| ~ product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1409,f69]) ).
fof(f1416,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ89_spl
| ~ sQ18_spl
| product(e_2,e_4,X0)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f1409,f76]) ).
fof(f1417,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ89_spl
| ~ sQ18_spl
| ~ product(e_4,e_2,X0)
| product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f1409,f41]) ).
fof(f1418,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ89_spl
| ~ sQ18_spl
| ~ product(X0,e_4,e_5)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1409,f39]) ).
fof(f1422,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| product(e_5,e_2,e_2) ),
inference(resolution,[status(thm)],[f122,f795]) ).
fof(f1423,plain,
( ~ sQ89_spl
| ~ sQ18_spl
| ~ sQ6_spl
| equalish(e_2,e_3) ),
inference(resolution,[status(thm)],[f122,f1393]) ).
fof(f1424,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f122,f73]) ).
fof(f1425,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f122,f71]) ).
fof(f1426,plain,
! [X0] :
( ~ sQ6_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f122,f69]) ).
fof(f1427,plain,
! [X0] :
( ~ sQ6_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f122,f76]) ).
fof(f1428,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(e_5,e_4,X0)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f122,f41]) ).
fof(f1429,plain,
! [X0] :
( ~ sQ6_spl
| ~ product(X0,e_5,e_2)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f122,f39]) ).
fof(f1430,plain,
( ~ sQ18_spl
| ~ sQ6_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f1422,f417,f121,f159]) ).
fof(f1431,plain,
( ~ sQ89_spl
| ~ sQ18_spl
| ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1423,f52]) ).
fof(f1432,plain,
( ~ sQ89_spl
| ~ sQ18_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f1431]) ).
fof(f1434,plain,
( ~ sQ31_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f207,f627]) ).
fof(f1435,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f207,f73]) ).
fof(f1436,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f207,f71]) ).
fof(f1437,plain,
! [X0] :
( ~ sQ31_spl
| equalish(X0,e_4)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f207,f69]) ).
fof(f1438,plain,
( ~ sQ31_spl
| product(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f207,f78]) ).
fof(f1439,plain,
! [X0] :
( ~ sQ31_spl
| product(e_4,e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f207,f76]) ).
fof(f1440,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(e_4,e_4,X0)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f207,f41]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ31_spl
| ~ product(X0,e_4,e_2)
| product(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f207,f39]) ).
fof(f1443,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1434,f53]) ).
fof(f1444,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f1443]) ).
fof(f1445,plain,
( ~ sQ119_spl
| ~ sQ23_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f957,f121,f175,f502]) ).
fof(f1447,plain,
( sQ7_spl
| ~ sQ89_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f126,f800]) ).
fof(f1448,plain,
( sQ7_spl
| ~ sQ89_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f1447]) ).
fof(f1449,plain,
( ~ sQ44_spl
| ~ sQ7_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f1151,f137,f124,f247]) ).
fof(f1450,plain,
( ~ sQ89_spl
| ~ sQ56_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f292,f705]) ).
fof(f1451,plain,
( ~ sQ98_spl
| ~ sQ56_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f292,f775]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f292,f73]) ).
fof(f1453,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f292,f71]) ).
fof(f1454,plain,
! [X0] :
( ~ sQ56_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f292,f69]) ).
fof(f1455,plain,
! [X0] :
( ~ sQ56_spl
| product(e_4,e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f292,f76]) ).
fof(f1456,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(e_3,e_4,X0)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f292,f41]) ).
fof(f1457,plain,
! [X0] :
( ~ sQ56_spl
| ~ product(X0,e_3,e_2)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f292,f39]) ).
fof(f1458,plain,
( ~ sQ98_spl
| ~ sQ81_spl
| product(e_1,e_2,e_2) ),
inference(resolution,[status(thm)],[f377,f775]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f377,f73]) ).
fof(f1461,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_2)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f377,f71]) ).
fof(f1462,plain,
( ~ sQ81_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f377,f623]) ).
fof(f1463,plain,
! [X0] :
( ~ sQ81_spl
| equalish(X0,e_4)
| ~ product(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f377,f69]) ).
fof(f1464,plain,
! [X0] :
( ~ sQ81_spl
| product(e_4,e_2,X0)
| ~ product(e_2,X0,e_2) ),
inference(resolution,[status(thm)],[f377,f76]) ).
fof(f1465,plain,
( ~ sQ81_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f377,f77]) ).
fof(f1466,plain,
! [X0] :
( ~ sQ81_spl
| ~ product(e_2,e_4,X0)
| product(X0,e_2,e_2) ),
inference(resolution,[status(thm)],[f377,f41]) ).
fof(f1467,plain,
! [X0] :
( ~ sQ81_spl
| ~ product(X0,e_2,e_2)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f377,f39]) ).
fof(f1469,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1462,f60]) ).
fof(f1470,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f1469]) ).
fof(f1471,plain,
( ~ sQ98_spl
| ~ sQ106_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f462,f776]) ).
fof(f1472,plain,
( ~ sQ99_spl
| ~ sQ106_spl
| product(e_4,e_2,e_5) ),
inference(resolution,[status(thm)],[f462,f689]) ).
fof(f1473,plain,
( ~ sQ98_spl
| ~ sQ106_spl
| product(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f462,f775]) ).
fof(f1474,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f462,f73]) ).
fof(f1475,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f462,f71]) ).
fof(f1476,plain,
! [X0] :
( ~ sQ106_spl
| equalish(X0,e_4)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f462,f69]) ).
fof(f1477,plain,
! [X0] :
( ~ sQ106_spl
| product(e_4,e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f462,f76]) ).
fof(f1478,plain,
! [X0] :
( ~ sQ106_spl
| ~ product(e_1,e_4,X0)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f462,f41]) ).
fof(f1479,plain,
! [X0] :
( ~ sQ106_spl
| ~ product(X0,e_1,e_2)
| product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f462,f39]) ).
fof(f1480,plain,
( ~ sQ98_spl
| ~ sQ106_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f1471,f382,f461,f430]) ).
fof(f1481,plain,
( ~ sQ89_spl
| ~ sQ1_spl
| product(e_3,e_2,e_5) ),
inference(resolution,[status(thm)],[f106,f704]) ).
fof(f1482,plain,
( ~ sQ99_spl
| ~ sQ1_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f106,f688]) ).
fof(f1483,plain,
( ~ sQ1_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f106,f627]) ).
fof(f1484,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f106,f73]) ).
fof(f1485,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f106,f71]) ).
fof(f1486,plain,
! [X0] :
( ~ sQ1_spl
| equalish(X0,e_5)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f106,f69]) ).
fof(f1487,plain,
( ~ sQ1_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f106,f78]) ).
fof(f1488,plain,
! [X0] :
( ~ sQ1_spl
| product(e_5,e_5,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f106,f76]) ).
fof(f1489,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(e_5,e_5,X0)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f106,f41]) ).
fof(f1490,plain,
! [X0] :
( ~ sQ1_spl
| ~ product(X0,e_5,e_2)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f106,f39]) ).
fof(f1491,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1483,f54]) ).
fof(f1492,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f1491]) ).
fof(f1493,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f167,f73]) ).
fof(f1494,plain,
( ~ sQ20_spl
| equalish(e_5,e_1) ),
inference(resolution,[status(thm)],[f167,f625]) ).
fof(f1495,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f167,f71]) ).
fof(f1496,plain,
! [X0] :
( ~ sQ20_spl
| equalish(X0,e_1)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f167,f69]) ).
fof(f1497,plain,
( ~ sQ20_spl
| product(e_1,e_1,e_5) ),
inference(resolution,[status(thm)],[f167,f80]) ).
fof(f1498,plain,
! [X0] :
( ~ sQ20_spl
| product(e_1,e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f167,f76]) ).
fof(f1499,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(e_5,e_1,X0)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f167,f41]) ).
fof(f1500,plain,
! [X0] :
( ~ sQ20_spl
| ~ product(X0,e_5,e_1)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f167,f39]) ).
fof(f1501,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1494,f63]) ).
fof(f1502,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f1501]) ).
fof(f1503,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f252,f73]) ).
fof(f1504,plain,
( ~ sQ45_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f252,f625]) ).
fof(f1505,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_1) ),
inference(resolution,[status(thm)],[f252,f71]) ).
fof(f1506,plain,
! [X0] :
( ~ sQ45_spl
| equalish(X0,e_1)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f252,f69]) ).
fof(f1507,plain,
( ~ sQ45_spl
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f252,f80]) ).
fof(f1508,plain,
! [X0] :
( ~ sQ45_spl
| product(e_1,e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f252,f76]) ).
fof(f1509,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(e_4,e_1,X0)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f252,f41]) ).
fof(f1510,plain,
! [X0] :
( ~ sQ45_spl
| ~ product(X0,e_4,e_1)
| product(e_4,e_1,X0) ),
inference(resolution,[status(thm)],[f252,f39]) ).
fof(f1511,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1504,f59]) ).
fof(f1512,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f1511]) ).
fof(f1513,plain,
( ~ sQ99_spl
| ~ sQ11_spl
| ~ sQ97_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f1403,f690]) ).
fof(f1514,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ97_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1403,f73]) ).
fof(f1515,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ97_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1403,f71]) ).
fof(f1516,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ97_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1403,f69]) ).
fof(f1517,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ97_spl
| product(e_5,e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1403,f76]) ).
fof(f1518,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ97_spl
| ~ product(e_2,e_5,X0)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1403,f41]) ).
fof(f1519,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ97_spl
| ~ product(X0,e_2,e_1)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f1403,f39]) ).
fof(f1520,plain,
( ~ sQ99_spl
| ~ sQ11_spl
| ~ sQ97_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f1513,f509,f427,f137,f433]) ).
fof(f1521,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f860,f73]) ).
fof(f1522,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f860,f71]) ).
fof(f1523,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f860,f69]) ).
fof(f1524,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f860,f76]) ).
fof(f1525,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(e_5,e_4,X0)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f860,f41]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ13_spl
| ~ product(X0,e_5,e_1)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f860,f39]) ).
fof(f1533,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1057,f73]) ).
fof(f1534,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ117_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1057,f71]) ).
fof(f1535,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ117_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1057,f69]) ).
fof(f1536,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ117_spl
| product(e_5,e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1057,f76]) ).
fof(f1537,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ117_spl
| ~ product(e_3,e_5,X0)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1057,f41]) ).
fof(f1538,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ117_spl
| ~ product(X0,e_3,e_2)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1057,f39]) ).
fof(f1539,plain,
( ~ sQ89_spl
| ~ sQ18_spl
| ~ sQ13_spl
| product(e_5,e_3,e_3) ),
inference(resolution,[status(thm)],[f842,f800]) ).
fof(f1541,plain,
( ~ sQ89_spl
| ~ sQ18_spl
| ~ sQ13_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f1539,f316,f143,f159,f401]) ).
fof(f1542,plain,
( ~ sQ88_spl
| ~ sQ97_spl
| sQ106_spl ),
inference(split_clause,[status(thm)],[f998,f461,f427,f398]) ).
fof(f1549,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ11_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f1400,f73]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ11_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1400,f71]) ).
fof(f1551,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ11_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1400,f69]) ).
fof(f1552,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ11_spl
| product(e_2,e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1400,f76]) ).
fof(f1553,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ11_spl
| ~ product(e_5,e_2,X0)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1400,f41]) ).
fof(f1554,plain,
! [X0] :
( ~ sQ74_spl
| ~ sQ11_spl
| ~ product(X0,e_5,e_1)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1400,f39]) ).
fof(f1555,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f978,f73]) ).
fof(f1556,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f978,f71]) ).
fof(f1557,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f978,f69]) ).
fof(f1558,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| product(e_3,e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f978,f76]) ).
fof(f1559,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ product(e_4,e_3,X0)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f978,f41]) ).
fof(f1560,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ47_spl
| ~ product(X0,e_4,e_2)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f978,f39]) ).
fof(f1563,plain,
( ~ sQ74_spl
| ~ sQ11_spl
| ~ sQ13_spl
| equalish(e_2,e_4) ),
inference(resolution,[status(thm)],[f1523,f1400]) ).
fof(f1565,plain,
( ~ sQ74_spl
| ~ sQ11_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1563,f53]) ).
fof(f1566,plain,
( ~ sQ74_spl
| ~ sQ11_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f1565]) ).
fof(f1574,plain,
( ~ sQ11_spl
| ~ sQ97_spl
| ~ sQ118_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f835,f1403]) ).
fof(f1575,plain,
( ~ sQ11_spl
| ~ sQ97_spl
| ~ sQ118_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1574,f470,f499,f427,f137]) ).
fof(f1595,plain,
( ~ sQ106_spl
| ~ sQ40_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f236,f1478]) ).
fof(f1596,plain,
( ~ sQ106_spl
| ~ sQ40_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f236,f1477]) ).
fof(f1597,plain,
( ~ sQ74_spl
| ~ sQ11_spl
| ~ sQ40_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f236,f1550]) ).
fof(f1598,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f236,f73]) ).
fof(f1599,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f236,f71]) ).
fof(f1600,plain,
! [X0] :
( ~ sQ40_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f236,f69]) ).
fof(f1601,plain,
! [X0] :
( ~ sQ40_spl
| product(e_2,e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f236,f76]) ).
fof(f1602,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(e_4,e_2,X0)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f236,f41]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ40_spl
| ~ product(X0,e_4,e_1)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f236,f39]) ).
fof(f1604,plain,
( ~ sQ106_spl
| ~ sQ40_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f1595,f493,f235,f461]) ).
fof(f1605,plain,
( ~ sQ106_spl
| ~ sQ40_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f1596,f467,f235,f461]) ).
fof(f1606,plain,
( ~ sQ74_spl
| ~ sQ11_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1597,f62]) ).
fof(f1607,plain,
( ~ sQ74_spl
| ~ sQ11_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f1606]) ).
fof(f1608,plain,
( ~ sQ107_spl
| ~ sQ71_spl
| ~ sQ65_spl
| equalish(e_1,e_4) ),
inference(resolution,[status(thm)],[f321,f1383]) ).
fof(f1609,plain,
( ~ sQ71_spl
| ~ sQ65_spl
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f321,f1237]) ).
fof(f1610,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f321,f73]) ).
fof(f1611,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f321,f71]) ).
fof(f1612,plain,
! [X0] :
( ~ sQ65_spl
| equalish(X0,e_2)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f321,f69]) ).
fof(f1613,plain,
! [X0] :
( ~ sQ65_spl
| product(e_2,e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f321,f76]) ).
fof(f1614,plain,
! [X0] :
( ~ sQ65_spl
| ~ product(e_3,e_2,X0)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f321,f41]) ).
fof(f1615,plain,
! [X0] :
( ~ sQ65_spl
| ~ product(X0,e_3,e_1)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f321,f39]) ).
fof(f1616,plain,
( ~ sQ107_spl
| ~ sQ71_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1608,f49]) ).
fof(f1617,plain,
( ~ sQ107_spl
| ~ sQ71_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f1616]) ).
fof(f1618,plain,
( ~ sQ23_spl
| ~ sQ7_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f1119,f486,f124,f175]) ).
fof(f1619,plain,
( ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ35_spl
| equalish(e_1,e_2) ),
inference(resolution,[status(thm)],[f220,f1555]) ).
fof(f1620,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f220,f73]) ).
fof(f1621,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f220,f71]) ).
fof(f1622,plain,
! [X0] :
( ~ sQ35_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f220,f69]) ).
fof(f1623,plain,
! [X0] :
( ~ sQ35_spl
| product(e_3,e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f220,f76]) ).
fof(f1624,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(e_4,e_3,X0)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f220,f41]) ).
fof(f1625,plain,
! [X0] :
( ~ sQ35_spl
| ~ product(X0,e_4,e_1)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f220,f39]) ).
fof(f1626,plain,
( ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1619,f47]) ).
fof(f1627,plain,
( ~ sQ118_spl
| ~ sQ47_spl
| ~ sQ35_spl ),
inference(contradiction_clause,[status(thm)],[f1626]) ).
fof(f1628,plain,
( sQ36_spl
| ~ sQ118_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f224,f978]) ).
fof(f1629,plain,
( sQ36_spl
| ~ sQ118_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f1628]) ).
fof(f1630,plain,
( ~ sQ118_spl
| ~ sQ85_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f390,f835]) ).
fof(f1631,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f390,f73]) ).
fof(f1632,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f390,f71]) ).
fof(f1633,plain,
! [X0] :
( ~ sQ85_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f390,f69]) ).
fof(f1634,plain,
! [X0] :
( ~ sQ85_spl
| product(e_3,e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f390,f76]) ).
fof(f1635,plain,
! [X0] :
( ~ sQ85_spl
| ~ product(e_2,e_3,X0)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f390,f41]) ).
fof(f1636,plain,
! [X0] :
( ~ sQ85_spl
| ~ product(X0,e_2,e_1)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f390,f39]) ).
fof(f1637,plain,
( ~ sQ118_spl
| ~ sQ85_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f1630,f464,f389,f499]) ).
fof(f1638,plain,
( ~ sQ0_spl
| equalish(e_1,e_5) ),
inference(resolution,[status(thm)],[f103,f627]) ).
fof(f1639,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f103,f73]) ).
fof(f1640,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f103,f71]) ).
fof(f1641,plain,
! [X0] :
( ~ sQ0_spl
| equalish(X0,e_5)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f103,f69]) ).
fof(f1642,plain,
( ~ sQ0_spl
| product(e_5,e_5,e_1) ),
inference(resolution,[status(thm)],[f103,f78]) ).
fof(f1643,plain,
! [X0] :
( ~ sQ0_spl
| product(e_5,e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f103,f76]) ).
fof(f1644,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(e_5,e_5,X0)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f103,f41]) ).
fof(f1645,plain,
! [X0] :
( ~ sQ0_spl
| ~ product(X0,e_5,e_1)
| product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f103,f39]) ).
fof(f1646,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1638,f50]) ).
fof(f1647,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f1646]) ).
fof(f1648,plain,
( ~ sQ49_spl
| ~ sQ78_spl
| product(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f367,f632]) ).
fof(f1649,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f367,f73]) ).
fof(f1650,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_2)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f367,f71]) ).
fof(f1651,plain,
! [X0] :
( ~ sQ78_spl
| equalish(X0,e_5)
| ~ product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f367,f69]) ).
fof(f1652,plain,
! [X0] :
( ~ sQ78_spl
| product(e_5,e_2,X0)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f367,f76]) ).
fof(f1653,plain,
! [X0] :
( ~ sQ78_spl
| ~ product(e_2,e_5,X0)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f367,f41]) ).
fof(f1654,plain,
! [X0] :
( ~ sQ78_spl
| ~ product(X0,e_2,e_4)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f367,f39]) ).
fof(f1655,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f855,f73]) ).
fof(f1656,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f855,f71]) ).
fof(f1657,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| equalish(X0,e_1)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f855,f69]) ).
fof(f1658,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| product(e_1,e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f855,f76]) ).
fof(f1659,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| ~ product(e_5,e_1,X0)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f855,f41]) ).
fof(f1660,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ13_spl
| ~ product(X0,e_5,e_3)
| product(e_5,e_1,X0) ),
inference(resolution,[status(thm)],[f855,f39]) ).
fof(f1662,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ118_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f854,f73]) ).
fof(f1663,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ118_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f854,f71]) ).
fof(f1664,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ118_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f854,f69]) ).
fof(f1665,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ118_spl
| product(e_5,e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f854,f76]) ).
fof(f1666,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ118_spl
| ~ product(e_2,e_5,X0)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f854,f41]) ).
fof(f1667,plain,
! [X0] :
( ~ sQ109_spl
| ~ sQ118_spl
| ~ product(X0,e_2,e_1)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f854,f39]) ).
fof(f1668,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ78_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f1648,f73]) ).
fof(f1669,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ78_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f1648,f71]) ).
fof(f1670,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ78_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1648,f69]) ).
fof(f1671,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ78_spl
| product(e_2,e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1648,f76]) ).
fof(f1672,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ78_spl
| ~ product(e_4,e_2,X0)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1648,f41]) ).
fof(f1673,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ78_spl
| ~ product(X0,e_4,e_1)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f1648,f39]) ).
fof(f1674,plain,
( ~ sQ78_spl
| ~ sQ109_spl
| ~ sQ118_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1662,f367]) ).
fof(f1676,plain,
( ~ sQ78_spl
| ~ sQ109_spl
| ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1674,f59]) ).
fof(f1677,plain,
( ~ sQ78_spl
| ~ sQ109_spl
| ~ sQ118_spl ),
inference(contradiction_clause,[status(thm)],[f1676]) ).
fof(f1678,plain,
( ~ sQ65_spl
| ~ sQ56_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f1457,f321]) ).
fof(f1679,plain,
( ~ sQ65_spl
| ~ sQ56_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f1678,f257,f291,f320]) ).
fof(f1680,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ23_spl
| equalish(X0,e_3)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f751,f73]) ).
fof(f1681,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ23_spl
| equalish(X0,e_5)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f751,f71]) ).
fof(f1682,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ23_spl
| equalish(X0,e_4)
| ~ product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f751,f69]) ).
fof(f1683,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ23_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f751,f76]) ).
fof(f1684,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ23_spl
| ~ product(e_5,e_4,X0)
| product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f751,f41]) ).
fof(f1685,plain,
! [X0] :
( ~ sQ114_spl
| ~ sQ23_spl
| ~ product(X0,e_5,e_3)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f751,f39]) ).
fof(f1686,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f976,f73]) ).
fof(f1687,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f976,f71]) ).
fof(f1688,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ47_spl
| equalish(X0,e_2)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f976,f69]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ47_spl
| product(e_2,e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f976,f76]) ).
fof(f1690,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ47_spl
| ~ product(e_4,e_2,X0)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f976,f41]) ).
fof(f1691,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ47_spl
| ~ product(X0,e_4,e_1)
| product(e_4,e_2,X0) ),
inference(resolution,[status(thm)],[f976,f39]) ).
fof(f1692,plain,
( ~ sQ88_spl
| ~ sQ47_spl
| ~ sQ111_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1375,f976]) ).
fof(f1693,plain,
( ~ sQ88_spl
| ~ sQ47_spl
| ~ sQ111_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f1692,f464,f477,f257,f398]) ).
fof(f1694,plain,
( ~ sQ36_spl
| ~ sQ49_spl
| ~ sQ78_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1648,f1337]) ).
fof(f1701,plain,
( ~ sQ36_spl
| ~ sQ49_spl
| ~ sQ78_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f1694,f345,f366,f263,f222]) ).
fof(f1702,plain,
( ~ sQ49_spl
| ~ sQ44_spl
| ~ sQ98_spl
| product(e_4,e_1,e_1) ),
inference(resolution,[status(thm)],[f771,f634]) ).
fof(f1703,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ98_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f771,f73]) ).
fof(f1704,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ98_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f771,f71]) ).
fof(f1705,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ98_spl
| equalish(X0,e_5)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f771,f69]) ).
fof(f1706,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ98_spl
| product(e_5,e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f771,f76]) ).
fof(f1707,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ98_spl
| ~ product(e_4,e_5,X0)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f771,f41]) ).
fof(f1708,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ98_spl
| ~ product(X0,e_4,e_1)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f771,f39]) ).
fof(f1709,plain,
( ~ sQ49_spl
| ~ sQ44_spl
| ~ sQ98_spl
| sQ123_spl ),
inference(split_clause,[status(thm)],[f1702,f515,f430,f247,f263]) ).
fof(f1710,plain,
( ~ sQ109_spl
| ~ sQ13_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f855,f172,f143,f470]) ).
fof(f1711,plain,
( ~ sQ114_spl
| ~ sQ17_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f1018,f169,f156,f486]) ).
fof(f1712,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ13_spl
| equalish(X0,e_2)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f859,f73]) ).
fof(f1713,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ13_spl
| equalish(X0,e_5)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f859,f71]) ).
fof(f1714,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ13_spl
| equalish(X0,e_4)
| ~ product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f859,f69]) ).
fof(f1715,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ13_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f859,f76]) ).
fof(f1716,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ13_spl
| ~ product(e_5,e_4,X0)
| product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f859,f41]) ).
fof(f1717,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ13_spl
| ~ product(X0,e_5,e_2)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f859,f39]) ).
fof(f1721,plain,
( ~ sQ69_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ97_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f1518,f859]) ).
fof(f1722,plain,
( ~ sQ69_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ97_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f1721,f430,f427,f137,f143,f332]) ).
fof(f1723,plain,
( ~ sQ71_spl
| ~ sQ65_spl
| sQ122_spl ),
inference(split_clause,[status(thm)],[f1609,f512,f320,f339]) ).
fof(f1724,plain,
( ~ sQ68_spl
| ~ sQ71_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f1241,f464,f339,f329]) ).
fof(f1725,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1118,f73]) ).
fof(f1726,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f1118,f71]) ).
fof(f1727,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f1118,f69]) ).
fof(f1728,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ7_spl
| product(e_5,e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f1118,f76]) ).
fof(f1729,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ7_spl
| ~ product(e_3,e_5,X0)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1118,f41]) ).
fof(f1730,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ7_spl
| ~ product(X0,e_3,e_1)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1118,f39]) ).
fof(f1731,plain,
( ~ sQ35_spl
| ~ sQ53_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f282,f1624]) ).
fof(f1732,plain,
( ~ sQ49_spl
| ~ sQ53_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f282,f632]) ).
fof(f1733,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f282,f73]) ).
fof(f1734,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_5) ),
inference(resolution,[status(thm)],[f282,f71]) ).
fof(f1735,plain,
! [X0] :
( ~ sQ53_spl
| equalish(X0,e_5)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f282,f69]) ).
fof(f1736,plain,
! [X0] :
( ~ sQ53_spl
| product(e_5,e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f282,f76]) ).
fof(f1737,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(e_3,e_5,X0)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f282,f41]) ).
fof(f1738,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(X0,e_3,e_4)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f282,f39]) ).
fof(f1739,plain,
( ~ sQ49_spl
| ~ sQ26_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f191,f634]) ).
fof(f1740,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f191,f73]) ).
fof(f1741,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f191,f71]) ).
fof(f1742,plain,
! [X0] :
( ~ sQ26_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f191,f69]) ).
fof(f1743,plain,
! [X0] :
( ~ sQ26_spl
| product(e_5,e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f191,f76]) ).
fof(f1744,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(e_4,e_5,X0)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f191,f41]) ).
fof(f1745,plain,
! [X0] :
( ~ sQ26_spl
| ~ product(X0,e_4,e_2)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f191,f39]) ).
fof(f1746,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1152,f73]) ).
fof(f1747,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1152,f71]) ).
fof(f1748,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1152,f69]) ).
fof(f1749,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| product(e_3,e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1152,f76]) ).
fof(f1750,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| ~ product(e_5,e_3,X0)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1152,f41]) ).
fof(f1751,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ7_spl
| ~ product(X0,e_5,e_1)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1152,f39]) ).
fof(f1752,plain,
( ~ sQ88_spl
| ~ sQ68_spl
| ~ sQ7_spl
| product(e_5,e_2,e_4) ),
inference(resolution,[status(thm)],[f1117,f877]) ).
fof(f1753,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ7_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1117,f73]) ).
fof(f1754,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ7_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1117,f71]) ).
fof(f1755,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1117,f69]) ).
fof(f1756,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ7_spl
| product(e_5,e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1117,f76]) ).
fof(f1757,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ7_spl
| ~ product(e_3,e_5,X0)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1117,f41]) ).
fof(f1758,plain,
! [X0] :
( ~ sQ68_spl
| ~ sQ7_spl
| ~ product(X0,e_3,e_2)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f1117,f39]) ).
fof(f1759,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ68_spl
| ~ sQ7_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f1752,f73]) ).
fof(f1760,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ68_spl
| ~ sQ7_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f1752,f71]) ).
fof(f1761,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ68_spl
| ~ sQ7_spl
| equalish(X0,e_4)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f1752,f69]) ).
fof(f1762,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ68_spl
| ~ sQ7_spl
| product(e_4,e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f1752,f76]) ).
fof(f1763,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ68_spl
| ~ sQ7_spl
| ~ product(e_2,e_4,X0)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f1752,f41]) ).
fof(f1764,plain,
! [X0] :
( ~ sQ88_spl
| ~ sQ68_spl
| ~ sQ7_spl
| ~ product(X0,e_2,e_5)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f1752,f39]) ).
fof(f1765,plain,
( ~ sQ68_spl
| ~ sQ7_spl
| ~ sQ73_spl
| equalish(e_2,e_1) ),
inference(resolution,[status(thm)],[f1725,f1117]) ).
fof(f1766,plain,
( ~ sQ53_spl
| ~ sQ73_spl
| ~ sQ7_spl
| equalish(e_4,e_1) ),
inference(resolution,[status(thm)],[f1725,f282]) ).
fof(f1768,plain,
( ~ sQ68_spl
| ~ sQ7_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1765,f51]) ).
fof(f1769,plain,
( ~ sQ68_spl
| ~ sQ7_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f1768]) ).
fof(f1770,plain,
( ~ sQ53_spl
| ~ sQ73_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1766,f59]) ).
fof(f1771,plain,
( ~ sQ53_spl
| ~ sQ73_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f1770]) ).
fof(f1773,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ107_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f1188,f73]) ).
fof(f1774,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ107_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1188,f71]) ).
fof(f1775,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ107_spl
| equalish(X0,e_3)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f1188,f69]) ).
fof(f1776,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ107_spl
| product(e_3,e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1188,f76]) ).
fof(f1777,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ107_spl
| ~ product(e_2,e_3,X0)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f1188,f41]) ).
fof(f1778,plain,
! [X0] :
( ~ sQ118_spl
| ~ sQ107_spl
| ~ product(X0,e_2,e_1)
| product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1188,f39]) ).
fof(f1779,plain,
( ~ sQ35_spl
| ~ sQ107_spl
| ~ sQ71_spl
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f1239,f1624]) ).
fof(f1786,plain,
( ~ sQ35_spl
| ~ sQ107_spl
| ~ sQ71_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f1779,f254,f339,f464,f219]) ).
fof(f1793,plain,
( ~ sQ118_spl
| ~ sQ39_spl
| ~ sQ22_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f966,f834]) ).
fof(f1794,plain,
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ22_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f966,f842]) ).
fof(f1795,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f966,f73]) ).
fof(f1796,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f966,f71]) ).
fof(f1797,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ22_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f966,f69]) ).
fof(f1798,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ22_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f966,f76]) ).
fof(f1799,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ22_spl
| ~ product(e_5,e_4,X0)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f966,f41]) ).
fof(f1800,plain,
! [X0] :
( ~ sQ39_spl
| ~ sQ22_spl
| ~ product(X0,e_5,e_1)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f966,f39]) ).
fof(f1802,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ22_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1794,f73]) ).
fof(f1803,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ22_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1794,f71]) ).
fof(f1804,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ22_spl
| equalish(X0,e_1)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1794,f69]) ).
fof(f1805,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ22_spl
| product(e_1,e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1794,f76]) ).
fof(f1806,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ product(e_3,e_1,X0)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1794,f41]) ).
fof(f1807,plain,
! [X0] :
( ~ sQ13_spl
| ~ sQ39_spl
| ~ sQ22_spl
| ~ product(X0,e_3,e_5)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1794,f39]) ).
fof(f1811,plain,
( ~ sQ107_spl
| ~ sQ71_spl
| ~ sQ56_spl
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f1457,f1239]) ).
fof(f1812,plain,
( ~ sQ107_spl
| ~ sQ71_spl
| ~ sQ56_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1811,f209,f291,f339,f464]) ).
fof(f1813,plain,
( ~ sQ49_spl
| ~ sQ78_spl
| ~ sQ111_spl
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f1375,f1648]) ).
fof(f1814,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ53_spl
| equalish(X0,e_1)
| ~ product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f1732,f73]) ).
fof(f1815,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ53_spl
| equalish(X0,e_4)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1732,f71]) ).
fof(f1816,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ53_spl
| equalish(X0,e_3)
| ~ product(e_1,e_4,X0) ),
inference(resolution,[status(thm)],[f1732,f69]) ).
fof(f1817,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ53_spl
| product(e_3,e_4,X0)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1732,f76]) ).
fof(f1818,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ53_spl
| ~ product(e_4,e_3,X0)
| product(X0,e_4,e_1) ),
inference(resolution,[status(thm)],[f1732,f41]) ).
fof(f1819,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ53_spl
| ~ product(X0,e_4,e_1)
| product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1732,f39]) ).
fof(f1820,plain,
( ~ sQ22_spl
| ~ sQ69_spl
| ~ sQ21_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f1217,f963]) ).
fof(f1821,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ21_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f1217,f73]) ).
fof(f1822,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ21_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1217,f71]) ).
fof(f1823,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ21_spl
| equalish(X0,e_3)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1217,f69]) ).
fof(f1824,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ21_spl
| product(e_3,e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1217,f76]) ).
fof(f1825,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ21_spl
| ~ product(e_5,e_3,X0)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1217,f41]) ).
fof(f1826,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ21_spl
| ~ product(X0,e_5,e_1)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1217,f39]) ).
fof(f1827,plain,
( ~ sQ22_spl
| ~ sQ69_spl
| ~ sQ21_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f1820,f518,f169,f332,f172]) ).
fof(f1830,plain,
( ~ sQ49_spl
| ~ sQ53_spl
| ~ sQ78_spl
| equalish(e_3,e_2) ),
inference(resolution,[status(thm)],[f1670,f1732]) ).
fof(f1831,plain,
( ~ sQ49_spl
| ~ sQ78_spl
| equalish(e_2,e_2) ),
inference(resolution,[status(thm)],[f1670,f1648]) ).
fof(f1832,plain,
( ~ sQ49_spl
| ~ sQ53_spl
| ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1830,f56]) ).
fof(f1833,plain,
( ~ sQ49_spl
| ~ sQ53_spl
| ~ sQ78_spl ),
inference(contradiction_clause,[status(thm)],[f1832]) ).
fof(f1834,plain,
( ~ sQ7_spl
| ~ sQ11_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f1322,f247,f137,f124]) ).
fof(f1835,plain,
( ~ sQ98_spl
| ~ sQ42_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f1032,f219,f241,f430]) ).
fof(f1836,plain,
( ~ sQ118_spl
| ~ sQ44_spl
| ~ sQ21_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f1218,f834]) ).
fof(f1837,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ21_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f1218,f73]) ).
fof(f1838,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ21_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f1218,f71]) ).
fof(f1839,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ21_spl
| equalish(X0,e_4)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1218,f69]) ).
fof(f1840,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ21_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f1218,f76]) ).
fof(f1841,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ21_spl
| ~ product(e_5,e_4,X0)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f1218,f41]) ).
fof(f1842,plain,
! [X0] :
( ~ sQ44_spl
| ~ sQ21_spl
| ~ product(X0,e_5,e_1)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f1218,f39]) ).
fof(f1854,plain,
( ~ sQ88_spl
| ~ sQ47_spl
| ~ sQ26_spl
| product(e_4,e_5,e_1) ),
inference(resolution,[status(thm)],[f1745,f976]) ).
fof(f1856,plain,
( ~ sQ88_spl
| ~ sQ47_spl
| ~ sQ36_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f1337,f976]) ).
fof(f1857,plain,
( ~ sQ88_spl
| ~ sQ47_spl
| ~ sQ36_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f1856,f345,f222,f257,f398]) ).
fof(f1858,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ117_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1056,f73]) ).
fof(f1859,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ117_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f1056,f71]) ).
fof(f1860,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ117_spl
| equalish(X0,e_4)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1056,f69]) ).
fof(f1861,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ117_spl
| product(e_4,e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1056,f76]) ).
fof(f1862,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ117_spl
| ~ product(e_3,e_4,X0)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1056,f41]) ).
fof(f1863,plain,
! [X0] :
( ~ sQ73_spl
| ~ sQ117_spl
| ~ product(X0,e_3,e_2)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f1056,f39]) ).
fof(f1865,plain,
( ~ sQ26_spl
| ~ sQ44_spl
| product(e_4,e_2,e_2) ),
inference(resolution,[status(thm)],[f640,f191]) ).
fof(f1866,plain,
( ~ sQ26_spl
| ~ sQ44_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1865,f414,f247,f190]) ).
fof(f1869,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| ~ sQ23_spl
| product(e_5,e_1,e_1) ),
inference(resolution,[status(thm)],[f746,f1218]) ).
fof(f1870,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| ~ sQ23_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f1869,f518,f175,f169,f247]) ).
fof(f1873,plain,
( ~ sQ13_spl
| ~ sQ9_spl
| product(e_5,e_3,e_5) ),
inference(resolution,[status(thm)],[f131,f842]) ).
fof(f1874,plain,
( ~ sQ23_spl
| ~ sQ9_spl
| product(e_5,e_1,e_5) ),
inference(resolution,[status(thm)],[f131,f746]) ).
fof(f1875,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_4) ),
inference(resolution,[status(thm)],[f131,f73]) ).
fof(f1876,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_4) ),
inference(resolution,[status(thm)],[f131,f71]) ).
fof(f1877,plain,
( ~ sQ9_spl
| equalish(e_4,e_5) ),
inference(resolution,[status(thm)],[f131,f623]) ).
fof(f1878,plain,
! [X0] :
( ~ sQ9_spl
| equalish(X0,e_4)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f131,f69]) ).
fof(f1879,plain,
! [X0] :
( ~ sQ9_spl
| product(e_4,e_5,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f131,f76]) ).
fof(f1880,plain,
( ~ sQ9_spl
| product(e_4,e_5,e_5) ),
inference(resolution,[status(thm)],[f131,f77]) ).
fof(f1881,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(e_5,e_4,X0)
| product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f131,f41]) ).
fof(f1882,plain,
! [X0] :
( ~ sQ9_spl
| ~ product(X0,e_5,e_5)
| product(e_5,e_4,X0) ),
inference(resolution,[status(thm)],[f131,f39]) ).
fof(f1885,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1877,f62]) ).
fof(f1886,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f1885]) ).
fof(f1887,plain,
( ~ sQ84_spl
| ~ sQ13_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f856,f156,f143,f385]) ).
fof(f1888,plain,
( ~ sQ36_spl
| ~ sQ88_spl
| ~ sQ47_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f976,f1337]) ).
fof(f1898,plain,
( ~ sQ88_spl
| ~ sQ47_spl
| ~ sQ109_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f739,f976]) ).
fof(f1899,plain,
( ~ sQ71_spl
| ~ sQ102_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f449,f1236]) ).
fof(f1900,plain,
( ~ sQ73_spl
| ~ sQ102_spl
| product(e_5,e_3,e_4) ),
inference(resolution,[status(thm)],[f449,f768]) ).
fof(f1901,plain,
( ~ sQ69_spl
| ~ sQ102_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f449,f666]) ).
fof(f1902,plain,
( ~ sQ109_spl
| ~ sQ102_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f449,f740]) ).
fof(f1903,plain,
( ~ sQ119_spl
| ~ sQ102_spl
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f449,f728]) ).
fof(f1904,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f449,f73]) ).
fof(f1905,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f449,f71]) ).
fof(f1906,plain,
! [X0] :
( ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f449,f69]) ).
fof(f1907,plain,
! [X0] :
( ~ sQ102_spl
| product(e_5,e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f449,f76]) ).
fof(f1908,plain,
! [X0] :
( ~ sQ102_spl
| ~ product(e_1,e_5,X0)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f449,f41]) ).
fof(f1909,plain,
! [X0] :
( ~ sQ102_spl
| ~ product(X0,e_1,e_3)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f449,f39]) ).
fof(f1910,plain,
( ~ sQ73_spl
| ~ sQ102_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f1900,f300,f448,f345]) ).
fof(f1911,plain,
( ~ sQ109_spl
| ~ sQ102_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f1902,f219,f448,f470]) ).
fof(f1912,plain,
( ~ sQ119_spl
| ~ sQ102_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f1903,f389,f448,f502]) ).
fof(f1913,plain,
( ~ sQ88_spl
| ~ sQ73_spl
| ~ sQ117_spl
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f1056,f877]) ).
fof(f1914,plain,
( ~ sQ88_spl
| ~ sQ73_spl
| ~ sQ117_spl
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f1056,f876]) ).
fof(f1922,plain,
( ~ sQ88_spl
| ~ sQ73_spl
| ~ sQ117_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f1913,f382,f496,f345,f398]) ).
fof(f1923,plain,
( ~ sQ88_spl
| ~ sQ73_spl
| ~ sQ117_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f1914,f395,f496,f345,f398]) ).
fof(f1924,plain,
( ~ sQ36_spl
| ~ sQ107_spl
| ~ sQ71_spl
| product(e_2,e_4,e_2) ),
inference(resolution,[status(thm)],[f1239,f1336]) ).
fof(f1925,plain,
( ~ sQ36_spl
| ~ sQ107_spl
| ~ sQ71_spl
| product(e_3,e_4,e_3) ),
inference(resolution,[status(thm)],[f1239,f1335]) ).
fof(f1932,plain,
( ~ sQ36_spl
| ~ sQ107_spl
| ~ sQ71_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f1924,f238,f339,f464,f222]) ).
fof(f1933,plain,
( ~ sQ36_spl
| ~ sQ107_spl
| ~ sQ71_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f1925,f225,f339,f464,f222]) ).
fof(f1934,plain,
( ~ sQ44_spl
| ~ sQ27_spl
| product(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f194,f640]) ).
fof(f1935,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_3)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f194,f73]) ).
fof(f1936,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_4)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f194,f71]) ).
fof(f1937,plain,
! [X0] :
( ~ sQ27_spl
| equalish(X0,e_5)
| ~ product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f194,f69]) ).
fof(f1938,plain,
! [X0] :
( ~ sQ27_spl
| product(e_5,e_4,X0)
| ~ product(e_4,X0,e_3) ),
inference(resolution,[status(thm)],[f194,f76]) ).
fof(f1939,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(e_4,e_5,X0)
| product(X0,e_4,e_3) ),
inference(resolution,[status(thm)],[f194,f41]) ).
fof(f1940,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(X0,e_4,e_3)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f194,f39]) ).
fof(f1941,plain,
( ~ sQ44_spl
| ~ sQ27_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1934,f398,f193,f247]) ).
fof(f1942,plain,
( ~ sQ118_spl
| ~ sQ55_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f289,f834]) ).
fof(f1943,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_1)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f289,f73]) ).
fof(f1944,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_3)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f289,f71]) ).
fof(f1945,plain,
! [X0] :
( ~ sQ55_spl
| equalish(X0,e_4)
| ~ product(e_1,e_3,X0) ),
inference(resolution,[status(thm)],[f289,f69]) ).
fof(f1946,plain,
! [X0] :
( ~ sQ55_spl
| product(e_4,e_3,X0)
| ~ product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f289,f76]) ).
fof(f1947,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(e_3,e_4,X0)
| product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f289,f41]) ).
fof(f1948,plain,
! [X0] :
( ~ sQ55_spl
| ~ product(X0,e_3,e_1)
| product(e_3,e_4,X0) ),
inference(resolution,[status(thm)],[f289,f39]) ).
fof(f1949,plain,
( ~ sQ118_spl
| ~ sQ55_spl
| sQ111_spl ),
inference(split_clause,[status(thm)],[f1942,f477,f288,f499]) ).
fof(f1952,plain,
( ~ sQ17_spl
| ~ sQ14_spl
| product(e_5,e_2,e_5) ),
inference(resolution,[status(thm)],[f147,f1017]) ).
fof(f1953,plain,
( ~ sQ7_spl
| ~ sQ14_spl
| product(e_5,e_4,e_5) ),
inference(resolution,[status(thm)],[f147,f1125]) ).
fof(f1954,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_3) ),
inference(resolution,[status(thm)],[f147,f73]) ).
fof(f1955,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_3) ),
inference(resolution,[status(thm)],[f147,f71]) ).
fof(f1956,plain,
( ~ sQ14_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f147,f623]) ).
fof(f1957,plain,
! [X0] :
( ~ sQ14_spl
| equalish(X0,e_3)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f147,f69]) ).
fof(f1958,plain,
! [X0] :
( ~ sQ14_spl
| product(e_3,e_5,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f147,f76]) ).
fof(f1959,plain,
( ~ sQ14_spl
| product(e_3,e_5,e_5) ),
inference(resolution,[status(thm)],[f147,f77]) ).
fof(f1960,plain,
! [X0] :
( ~ sQ14_spl
| ~ product(e_5,e_3,X0)
| product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f147,f41]) ).
fof(f1961,plain,
! [X0] :
( ~ sQ14_spl
| ~ product(X0,e_5,e_5)
| product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f147,f39]) ).
fof(f1964,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1956,f58]) ).
fof(f1965,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f1964]) ).
fof(f1967,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f370,f73]) ).
fof(f1968,plain,
( ~ sQ79_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f370,f625]) ).
fof(f1969,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f370,f71]) ).
fof(f1970,plain,
! [X0] :
( ~ sQ79_spl
| equalish(X0,e_5)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f370,f69]) ).
fof(f1971,plain,
( ~ sQ79_spl
| product(e_5,e_5,e_2) ),
inference(resolution,[status(thm)],[f370,f80]) ).
fof(f1972,plain,
! [X0] :
( ~ sQ79_spl
| product(e_5,e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f370,f76]) ).
fof(f1973,plain,
! [X0] :
( ~ sQ79_spl
| ~ product(e_2,e_5,X0)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f370,f41]) ).
fof(f1974,plain,
! [X0] :
( ~ sQ79_spl
| ~ product(X0,e_2,e_5)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f370,f39]) ).
fof(f1976,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1968,f54]) ).
fof(f1977,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f1976]) ).
fof(f1992,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ88_spl
| ~ sQ47_spl
| equalish(X0,e_4)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1888,f73]) ).
fof(f1993,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ88_spl
| ~ sQ47_spl
| equalish(X0,e_3)
| ~ product(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f1888,f71]) ).
fof(f1994,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ88_spl
| ~ sQ47_spl
| equalish(X0,e_1)
| ~ product(e_4,e_3,X0) ),
inference(resolution,[status(thm)],[f1888,f69]) ).
fof(f1995,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ88_spl
| ~ sQ47_spl
| product(e_1,e_3,X0)
| ~ product(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f1888,f76]) ).
fof(f1996,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ88_spl
| ~ sQ47_spl
| ~ product(e_3,e_1,X0)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f1888,f41]) ).
fof(f1997,plain,
! [X0] :
( ~ sQ36_spl
| ~ sQ88_spl
| ~ sQ47_spl
| ~ product(X0,e_3,e_4)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1888,f39]) ).
fof(f1998,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ73_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f770,f73]) ).
fof(f1999,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ73_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f770,f71]) ).
fof(f2000,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ73_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f770,f69]) ).
fof(f2001,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ73_spl
| product(e_5,e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f770,f76]) ).
fof(f2002,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ73_spl
| ~ product(e_1,e_5,X0)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f770,f41]) ).
fof(f2003,plain,
! [X0] :
( ~ sQ59_spl
| ~ sQ73_spl
| ~ product(X0,e_1,e_3)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f770,f39]) ).
fof(f2009,plain,
( ~ sQ36_spl
| ~ sQ88_spl
| ~ sQ47_spl
| ~ sQ65_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f1615,f1888]) ).
fof(f2010,plain,
( ~ sQ36_spl
| ~ sQ88_spl
| ~ sQ47_spl
| ~ sQ65_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f2009,f379,f320,f257,f398,f222]) ).
fof(f2011,plain,
( ~ sQ59_spl
| ~ sQ73_spl
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f682,f770]) ).
fof(f2012,plain,
( ~ sQ73_spl
| ~ sQ7_spl
| ~ sQ59_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f684,f1118]) ).
fof(f2013,plain,
( ~ sQ88_spl
| ~ sQ69_spl
| ~ sQ102_spl
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f1901,f877]) ).
fof(f2014,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ102_spl
| equalish(X0,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f1901,f73]) ).
fof(f2015,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f1901,f71]) ).
fof(f2016,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ102_spl
| equalish(X0,e_1)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[status(thm)],[f1901,f69]) ).
fof(f2017,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ102_spl
| product(e_1,e_3,X0)
| ~ product(e_3,X0,e_2) ),
inference(resolution,[status(thm)],[f1901,f76]) ).
fof(f2018,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ102_spl
| ~ product(e_3,e_1,X0)
| product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1901,f41]) ).
fof(f2019,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ102_spl
| ~ product(X0,e_3,e_2)
| product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1901,f39]) ).
fof(f2022,plain,
( ~ sQ36_spl
| ~ sQ88_spl
| ~ sQ47_spl
| ~ sQ69_spl
| ~ sQ102_spl
| equalish(e_4,e_2) ),
inference(resolution,[status(thm)],[f2014,f1888]) ).
fof(f2023,plain,
( ~ sQ36_spl
| ~ sQ88_spl
| ~ sQ47_spl
| ~ sQ69_spl
| ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2022,f60]) ).
fof(f2024,plain,
( ~ sQ36_spl
| ~ sQ88_spl
| ~ sQ47_spl
| ~ sQ69_spl
| ~ sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f2023]) ).
fof(f2025,plain,
( ~ sQ118_spl
| ~ sQ44_spl
| ~ sQ21_spl
| product(e_2,e_1,e_5) ),
inference(resolution,[status(thm)],[f1218,f834]) ).
fof(f2034,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| ~ sQ13_spl
| product(e_5,e_3,e_1) ),
inference(resolution,[status(thm)],[f842,f1218]) ).
fof(f2035,plain,
( ~ sQ44_spl
| ~ sQ21_spl
| ~ sQ13_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f2034,f348,f143,f169,f247]) ).
fof(f2036,plain,
( ~ sQ47_spl
| ~ sQ118_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f500,f973]) ).
fof(f2037,plain,
( ~ sQ36_spl
| ~ sQ118_spl
| product(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f500,f1335]) ).
fof(f2045,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f285,f73]) ).
fof(f2046,plain,
( ~ sQ54_spl
| equalish(e_3,e_5) ),
inference(resolution,[status(thm)],[f285,f625]) ).
fof(f2047,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f285,f71]) ).
fof(f2048,plain,
! [X0] :
( ~ sQ54_spl
| equalish(X0,e_5)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f285,f69]) ).
fof(f2049,plain,
( ~ sQ54_spl
| product(e_5,e_5,e_3) ),
inference(resolution,[status(thm)],[f285,f80]) ).
fof(f2050,plain,
! [X0] :
( ~ sQ54_spl
| product(e_5,e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f285,f76]) ).
fof(f2051,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(e_3,e_5,X0)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f285,f41]) ).
fof(f2052,plain,
! [X0] :
( ~ sQ54_spl
| ~ product(X0,e_3,e_5)
| product(e_3,e_5,X0) ),
inference(resolution,[status(thm)],[f285,f39]) ).
fof(f2054,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2046,f58]) ).
fof(f2055,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f2054]) ).
fof(f2056,plain,
( ~ sQ84_spl
| ~ sQ77_spl
| product(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f364,f712]) ).
fof(f2057,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_3)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f364,f73]) ).
fof(f2058,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_2)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f364,f71]) ).
fof(f2059,plain,
! [X0] :
( ~ sQ77_spl
| equalish(X0,e_5)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f364,f69]) ).
fof(f2060,plain,
! [X0] :
( ~ sQ77_spl
| product(e_5,e_2,X0)
| ~ product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f364,f76]) ).
fof(f2061,plain,
! [X0] :
( ~ sQ77_spl
| ~ product(e_2,e_5,X0)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f364,f41]) ).
fof(f2062,plain,
! [X0] :
( ~ sQ77_spl
| ~ product(X0,e_2,e_3)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f364,f39]) ).
fof(f2063,plain,
( ~ sQ118_spl
| ~ sQ80_spl
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f374,f835]) ).
fof(f2064,plain,
( ~ sQ118_spl
| ~ sQ80_spl
| product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[f374,f834]) ).
fof(f2065,plain,
( ~ sQ98_spl
| ~ sQ80_spl
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f374,f777]) ).
fof(f2066,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f374,f73]) ).
fof(f2067,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f374,f71]) ).
fof(f2068,plain,
! [X0] :
( ~ sQ80_spl
| equalish(X0,e_4)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f374,f69]) ).
fof(f2069,plain,
! [X0] :
( ~ sQ80_spl
| product(e_4,e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f374,f76]) ).
fof(f2070,plain,
! [X0] :
( ~ sQ80_spl
| ~ product(e_2,e_4,X0)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f374,f41]) ).
fof(f2071,plain,
! [X0] :
( ~ sQ80_spl
| ~ product(X0,e_2,e_1)
| product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f374,f39]) ).
fof(f2072,plain,
( ~ sQ118_spl
| ~ sQ80_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f2063,f467,f373,f499]) ).
fof(f2073,plain,
( ~ sQ118_spl
| ~ sQ80_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f2064,f493,f373,f499]) ).
fof(f2074,plain,
( ~ sQ98_spl
| ~ sQ80_spl
| sQ121_spl ),
inference(split_clause,[status(thm)],[f2065,f509,f373,f430]) ).
fof(f2075,plain,
( ~ sQ84_spl
| ~ sQ77_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f2056,f222,f363,f385]) ).
fof(f2076,plain,
( ~ sQ88_spl
| ~ sQ71_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1231,f373,f339,f398]) ).
fof(f2077,plain,
( ~ sQ99_spl
| ~ sQ111_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f1370,f363,f477,f433]) ).
fof(f2078,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_2)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f446,f73]) ).
fof(f2079,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_1)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f446,f71]) ).
fof(f2080,plain,
! [X0] :
( ~ sQ101_spl
| equalish(X0,e_5)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f446,f69]) ).
fof(f2081,plain,
! [X0] :
( ~ sQ101_spl
| product(e_5,e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f446,f76]) ).
fof(f2082,plain,
! [X0] :
( ~ sQ101_spl
| ~ product(e_1,e_5,X0)
| product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f446,f41]) ).
fof(f2083,plain,
! [X0] :
( ~ sQ101_spl
| ~ product(X0,e_1,e_2)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f446,f39]) ).
fof(f2084,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f163,f73]) ).
fof(f2085,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_5)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f163,f71]) ).
fof(f2086,plain,
( ~ sQ19_spl
| equalish(e_2,e_5) ),
inference(resolution,[status(thm)],[f163,f623]) ).
fof(f2087,plain,
! [X0] :
( ~ sQ19_spl
| equalish(X0,e_2)
| ~ product(e_5,e_5,X0) ),
inference(resolution,[status(thm)],[f163,f69]) ).
fof(f2088,plain,
! [X0] :
( ~ sQ19_spl
| product(e_2,e_5,X0)
| ~ product(e_5,X0,e_5) ),
inference(resolution,[status(thm)],[f163,f76]) ).
fof(f2089,plain,
( ~ sQ19_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f163,f77]) ).
fof(f2090,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(e_5,e_2,X0)
| product(X0,e_5,e_5) ),
inference(resolution,[status(thm)],[f163,f41]) ).
fof(f2091,plain,
! [X0] :
( ~ sQ19_spl
| ~ product(X0,e_5,e_5)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f163,f39]) ).
fof(f2092,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2086,f54]) ).
fof(f2093,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f2092]) ).
fof(f2094,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ118_spl
| equalish(X0,e_2)
| ~ product(X0,e_4,e_5) ),
inference(resolution,[status(thm)],[f830,f73]) ).
fof(f2095,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ118_spl
| equalish(X0,e_4)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f830,f71]) ).
fof(f2096,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ118_spl
| equalish(X0,e_5)
| ~ product(e_2,e_4,X0) ),
inference(resolution,[status(thm)],[f830,f69]) ).
fof(f2097,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ118_spl
| product(e_5,e_4,X0)
| ~ product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f830,f76]) ).
fof(f2098,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ118_spl
| ~ product(e_4,e_5,X0)
| product(X0,e_4,e_2) ),
inference(resolution,[status(thm)],[f830,f41]) ).
fof(f2099,plain,
! [X0] :
( ~ sQ49_spl
| ~ sQ118_spl
| ~ product(X0,e_4,e_2)
| product(e_4,e_5,X0) ),
inference(resolution,[status(thm)],[f830,f39]) ).
fof(f2100,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ102_spl
| equalish(X0,e_5)
| ~ product(X0,e_3,e_2) ),
inference(resolution,[status(thm)],[f1899,f73]) ).
fof(f2101,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ102_spl
| equalish(X0,e_3)
| ~ product(e_5,X0,e_2) ),
inference(resolution,[status(thm)],[f1899,f71]) ).
fof(f2102,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ102_spl
| equalish(X0,e_2)
| ~ product(e_5,e_3,X0) ),
inference(resolution,[status(thm)],[f1899,f69]) ).
fof(f2103,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ102_spl
| product(e_2,e_3,X0)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1899,f76]) ).
fof(f2104,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ102_spl
| ~ product(e_3,e_2,X0)
| product(X0,e_3,e_5) ),
inference(resolution,[status(thm)],[f1899,f41]) ).
fof(f2105,plain,
! [X0] :
( ~ sQ71_spl
| ~ sQ102_spl
| ~ product(X0,e_3,e_5)
| product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f1899,f39]) ).
fof(f2106,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ71_spl
| equalish(X0,e_3)
| ~ product(X0,e_1,e_5) ),
inference(resolution,[status(thm)],[f1242,f73]) ).
fof(f2107,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ71_spl
| equalish(X0,e_1)
| ~ product(e_3,X0,e_5) ),
inference(resolution,[status(thm)],[f1242,f71]) ).
fof(f2108,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ71_spl
| equalish(X0,e_5)
| ~ product(e_3,e_1,X0) ),
inference(resolution,[status(thm)],[f1242,f69]) ).
fof(f2109,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ71_spl
| product(e_5,e_1,X0)
| ~ product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f1242,f76]) ).
fof(f2110,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ71_spl
| ~ product(e_1,e_5,X0)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f1242,f41]) ).
fof(f2111,plain,
! [X0] :
( ~ sQ69_spl
| ~ sQ71_spl
| ~ product(X0,e_1,e_3)
| product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f1242,f39]) ).
fof(f2112,plain,
( ~ sQ118_spl
| ~ sQ26_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f1743,f500]) ).
fof(f2113,plain,
( ~ sQ71_spl
| ~ sQ102_spl
| ~ sQ6_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f1427,f1899]) ).
fof(f2114,plain,
( ~ sQ118_spl
| ~ sQ111_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f1377,f500]) ).
fof(f2117,plain,
( ~ sQ71_spl
| ~ sQ102_spl
| ~ sQ13_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f841,f1899]) ).
fof(f2118,plain,
( ~ sQ49_spl
| ~ sQ118_spl
| ~ sQ82_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f1181,f830]) ).
fof(f2119,plain,
( ~ sQ69_spl
| ~ sQ71_spl
| ~ sQ109_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f740,f1242]) ).
fof(f2120,plain,
( ~ sQ69_spl
| ~ sQ71_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f1236,f1242]) ).
fof(f2121,plain,
( ~ sQ71_spl
| ~ sQ102_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f1237,f1899]) ).
fof(f2123,plain,
( ~ sQ49_spl
| ~ sQ118_spl
| ~ sQ89_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f704,f830]) ).
fof(f2124,plain,
( ~ sQ98_spl
| ~ sQ111_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f478,f776]) ).
fof(f2125,plain,
( ~ sQ77_spl
| ~ sQ111_spl
| product(e_5,e_2,e_1) ),
inference(resolution,[status(thm)],[f478,f2060]) ).
fof(f2126,plain,
( ~ sQ82_spl
| ~ sQ111_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f478,f1180]) ).
fof(f2127,plain,
( ~ sQ102_spl
| ~ sQ111_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f478,f1909]) ).
fof(f2134,plain,
( ~ sQ109_spl
| ~ sQ118_spl
| ~ sQ77_spl
| ~ sQ111_spl
| product(e_2,e_5,e_5) ),
inference(resolution,[status(thm)],[f2125,f1667]) ).
fof(f2135,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ111_spl
| equalish(X0,e_5)
| ~ product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f2125,f73]) ).
fof(f2136,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ111_spl
| equalish(X0,e_2)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f2125,f71]) ).
fof(f2137,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ111_spl
| equalish(X0,e_1)
| ~ product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f2125,f69]) ).
fof(f2138,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ111_spl
| product(e_1,e_2,X0)
| ~ product(e_2,X0,e_5) ),
inference(resolution,[status(thm)],[f2125,f76]) ).
fof(f2139,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ111_spl
| ~ product(e_2,e_1,X0)
| product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f2125,f41]) ).
fof(f2140,plain,
! [X0] :
( ~ sQ77_spl
| ~ sQ111_spl
| ~ product(X0,e_2,e_5)
| product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f2125,f39]) ).
fof(f2141,plain,
( ~ sQ109_spl
| ~ sQ118_spl
| ~ sQ77_spl
| ~ sQ111_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f2134,f105,f477,f363,f499,f470]) ).
fof(f2142,plain,
( ~ sQ53_spl
| ~ sQ22_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f173,f1737]) ).
fof(f2143,plain,
( ~ sQ55_spl
| ~ sQ22_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f173,f1946]) ).
fof(f2150,plain,
( ~ sQ6_spl
| ~ sQ49_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f264,f1428]) ).
fof(f2151,plain,
( ~ sQ35_spl
| ~ sQ49_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f264,f1625]) ).
fof(f2159,plain,
( ~ sQ118_spl
| ~ sQ75_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f358,f835]) ).
fof(f2160,plain,
( ~ sQ109_spl
| ~ sQ75_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f358,f738]) ).
fof(f2162,plain,
( ~ sQ89_spl
| ~ sQ75_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f358,f706]) ).
fof(f2164,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_1)
| ~ product(X0,e_2,e_5) ),
inference(resolution,[status(thm)],[f358,f73]) ).
fof(f2165,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_2)
| ~ product(e_1,X0,e_5) ),
inference(resolution,[status(thm)],[f358,f71]) ).
fof(f2166,plain,
! [X0] :
( ~ sQ75_spl
| equalish(X0,e_5)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[status(thm)],[f358,f69]) ).
fof(f2167,plain,
! [X0] :
( ~ sQ75_spl
| product(e_5,e_2,X0)
| ~ product(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f358,f76]) ).
fof(f2168,plain,
! [X0] :
( ~ sQ75_spl
| ~ product(e_2,e_5,X0)
| product(X0,e_2,e_1) ),
inference(resolution,[status(thm)],[f358,f41]) ).
fof(f2169,plain,
! [X0] :
( ~ sQ75_spl
| ~ product(X0,e_2,e_1)
| product(e_2,e_5,X0) ),
inference(resolution,[status(thm)],[f358,f39]) ).
fof(f2170,plain,
( ~ sQ26_spl
| ~ sQ13_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f144,f1744]) ).
fof(f2171,plain,
( ~ sQ42_spl
| ~ sQ13_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f144,f1026]) ).
fof(f2172,plain,
( ~ sQ22_spl
| ~ sQ13_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f144,f963]) ).
fof(f2179,plain,
( ~ sQ42_spl
| ~ sQ98_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f431,f1027]) ).
fof(f2180,plain,
( ~ sQ35_spl
| ~ sQ98_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f431,f1623]) ).
fof(f2181,plain,
( ~ sQ109_spl
| ~ sQ118_spl
| ~ sQ98_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f431,f1667]) ).
fof(f2188,plain,
( ~ sQ109_spl
| ~ sQ35_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f220,f739]) ).
fof(f2189,plain,
( ~ sQ102_spl
| ~ sQ35_spl
| product(e_5,e_1,e_4) ),
inference(resolution,[status(thm)],[f220,f1907]) ).
fof(f2190,plain,
( ~ sQ42_spl
| ~ sQ35_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f220,f1028]) ).
fof(f2197,plain,
( ~ sQ111_spl
| ~ sQ55_spl
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f289,f1376]) ).
fof(f2198,plain,
( ~ sQ118_spl
| ~ sQ55_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f289,f834]) ).
fof(f2199,plain,
( ~ sQ53_spl
| ~ sQ55_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f289,f1738]) ).
fof(f2206,plain,
( ~ sQ69_spl
| ~ sQ82_spl
| product(e_4,e_3,e_5) ),
inference(resolution,[status(thm)],[f380,f667]) ).
fof(f2207,plain,
( ~ sQ53_spl
| ~ sQ82_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f380,f1736]) ).
fof(f2208,plain,
( ~ sQ98_spl
| ~ sQ82_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f380,f777]) ).
fof(f2215,plain,
( ~ sQ22_spl
| ~ sQ109_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f471,f962]) ).
fof(f2216,plain,
( ~ sQ13_spl
| ~ sQ109_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f471,f840]) ).
fof(f2217,plain,
( ~ sQ118_spl
| ~ sQ109_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f471,f836]) ).
fof(f2224,plain,
( ~ sQ102_spl
| ~ sQ15_spl
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f151,f1908]) ).
fof(f2225,plain,
( ~ sQ111_spl
| ~ sQ15_spl
| product(e_3,e_1,e_5) ),
inference(resolution,[status(thm)],[f151,f1375]) ).
fof(f2226,plain,
( ~ sQ6_spl
| ~ sQ15_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f151,f1429]) ).
fof(f2227,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_1)
| ~ product(X0,e_5,e_2) ),
inference(resolution,[status(thm)],[f151,f73]) ).
fof(f2228,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_5)
| ~ product(e_1,X0,e_2) ),
inference(resolution,[status(thm)],[f151,f71]) ).
fof(f2229,plain,
! [X0] :
( ~ sQ15_spl
| equalish(X0,e_2)
| ~ product(e_1,e_5,X0) ),
inference(resolution,[status(thm)],[f151,f69]) ).
fof(f2230,plain,
! [X0] :
( ~ sQ15_spl
| product(e_2,e_5,X0)
| ~ product(e_5,X0,e_1) ),
inference(resolution,[status(thm)],[f151,f76]) ).
fof(f2231,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(e_5,e_2,X0)
| product(X0,e_5,e_1) ),
inference(resolution,[status(thm)],[f151,f41]) ).
fof(f2232,plain,
! [X0] :
( ~ sQ15_spl
| ~ product(X0,e_5,e_1)
| product(e_5,e_2,X0) ),
inference(resolution,[status(thm)],[f151,f39]) ).
fof(f2233,plain,
( ~ sQ49_spl
| ~ sQ15_spl
| product(e_2,e_5,e_4) ),
inference(resolution,[status(thm)],[f2230,f264]) ).
fof(f2234,plain,
( ~ sQ22_spl
| ~ sQ15_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f2232,f173]) ).
fof(f2235,plain,
( ~ sQ89_spl
| ~ sQ71_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f340,f705]) ).
fof(f2236,plain,
( ~ sQ109_spl
| ~ sQ118_spl
| ~ sQ71_spl
| product(e_5,e_2,e_3) ),
inference(resolution,[status(thm)],[f340,f1665]) ).
fof(f2237,plain,
( ~ sQ55_spl
| ~ sQ71_spl
| product(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f340,f1948]) ).
fof(f2244,plain,
( ~ sQ35_spl
| ~ sQ53_spl
| product(e_5,e_4,e_1) ),
inference(resolution,[status(thm)],[f282,f1624]) ).
fof(f2245,plain,
( ~ sQ49_spl
| ~ sQ53_spl
| product(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f282,f632]) ).
fof(f2246,plain,
( ~ sQ69_spl
| ~ sQ53_spl
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f282,f668]) ).
fof(f2253,plain,
( ~ sQ109_spl
| ~ sQ118_spl
| ~ sQ6_spl
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f122,f1666]) ).
fof(f2254,plain,
( ~ sQ98_spl
| ~ sQ6_spl
| product(e_1,e_2,e_5) ),
inference(resolution,[status(thm)],[f122,f775]) ).
fof(f2255,plain,
( ~ sQ13_spl
| ~ sQ6_spl
| product(e_5,e_3,e_2) ),
inference(resolution,[status(thm)],[f122,f842]) ).
fof(f2262,plain,
( ~ sQ15_spl
| ~ sQ89_spl
| product(e_3,e_5,e_1) ),
inference(resolution,[status(thm)],[f402,f2231]) ).
fof(f2263,plain,
( ~ sQ22_spl
| ~ sQ89_spl
| product(e_1,e_5,e_2) ),
inference(resolution,[status(thm)],[f402,f961]) ).
fof(f2264,plain,
( ~ sQ82_spl
| ~ sQ89_spl
| product(e_2,e_4,e_5) ),
inference(resolution,[status(thm)],[f402,f1182]) ).
fof(f2271,plain,
( ~ sQ55_spl
| ~ sQ42_spl
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f242,f1947]) ).
fof(f2272,plain,
( ~ sQ71_spl
| ~ sQ42_spl
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f242,f1235]) ).
fof(f2273,plain,
( ~ sQ26_spl
| ~ sQ42_spl
| product(e_4,e_5,e_3) ),
inference(resolution,[status(thm)],[f242,f1745]) ).
fof(model,axiom,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sQ4_spl
| sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ11_spl
| ~ sQ12_spl
| sQ13_spl
| ~ sQ14_spl
| sQ15_spl
| ~ sQ16_spl
| ~ sQ17_spl
| ~ sQ18_spl
| ~ sQ19_spl
| ~ sQ20_spl
| ~ sQ21_spl
| sQ22_spl
| ~ sQ23_spl
| sQ26_spl
| ~ sQ31_spl
| ~ sQ32_spl
| sQ33_spl
| ~ sQ34_spl
| sQ35_spl
| ~ sQ36_spl
| ~ sQ37_spl
| ~ sQ38_spl
| ~ sQ41_spl
| sQ42_spl
| ~ sQ43_spl
| ~ sQ44_spl
| ~ sQ45_spl
| ~ sQ46_spl
| ~ sQ47_spl
| ~ sQ48_spl
| sQ49_spl
| sQ53_spl
| ~ sQ54_spl
| sQ55_spl
| ~ sQ57_spl
| ~ sQ58_spl
| ~ sQ59_spl
| ~ sQ61_spl
| sQ62_spl
| ~ sQ63_spl
| ~ sQ64_spl
| ~ sQ65_spl
| ~ sQ66_spl
| ~ sQ67_spl
| ~ sQ68_spl
| sQ69_spl
| sQ71_spl
| ~ sQ72_spl
| ~ sQ73_spl
| sQ75_spl
| ~ sQ77_spl
| ~ sQ78_spl
| ~ sQ79_spl
| ~ sQ80_spl
| ~ sQ81_spl
| sQ82_spl
| ~ sQ83_spl
| ~ sQ84_spl
| ~ sQ85_spl
| ~ sQ86_spl
| ~ sQ87_spl
| ~ sQ88_spl
| sQ89_spl
| sQ91_spl
| ~ sQ92_spl
| ~ sQ93_spl
| ~ sQ94_spl
| ~ sQ96_spl
| ~ sQ97_spl
| sQ98_spl
| ~ sQ99_spl
| sQ102_spl
| ~ sQ106_spl
| ~ sQ107_spl
| ~ sQ108_spl
| sQ109_spl
| sQ111_spl
| ~ sQ112_spl
| ~ sQ113_spl
| ~ sQ114_spl
| ~ sQ116_spl
| ~ sQ117_spl
| sQ118_spl
| ~ sQ119_spl
| sQ120_spl
| ~ sQ121_spl
| ~ sQ122_spl
| ~ sQ123_spl
| ~ sQ124_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP127-4.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:00:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.81 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.13/0.81 % SZS output start Saturation for theBenchmark
% See solution above
% 0.43/0.86 % Elapsed time: 0.486717 seconds
% 0.43/0.86 % CPU time: 3.456557 seconds
% 0.43/0.86 % Total memory used: 42.292 MB
% 0.43/0.86 % Net memory used: 40.383 MB
%------------------------------------------------------------------------------